4.
The sum of two odd consecutive integers is 88. Find the integers.
Answers
Answer:
43 and 45
Step-by-step explanation:
→ State an expression for 2 odd consecutive numbers
2x + 1 and 2x + 3
→ Find the sum
4x + 4
→ Equate to 88
4x + 4 = 88
→ Minus 4 from both sides
4x = 84
→ Divide both sides by 4
x = 21
→ Substitute into original expressions
43 and 45
Related Questions
Find the product of -3/5 • -1.5.
Answers
Answer:
0.9
Step-by-step explanation:
I am not sure how to really explain but the 2 negatives equal a positive. So if there is 2 Negatives also know as - = a positive. And a positive is just the the opposite of a negative
The product of the given fractions is 3/25.
The given fractions are -3/5 and -1/5.
What is the product of fractions?The product of two fractions can often be expressed by an equivalent fraction where the numerator and denominator have been divided by a common factor. The product of two fractions is the product of the numerators and the product of the denominators.
Now, multiply the given fractions
-3/5 × -1/5
Multiply numerators and write the result in numerator and multiply denominators and write the result in denominator.
That is, -3/5 × -1/5 = 3/25
Therefore, the product of the given fractions is 3/25.
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what is 11% tax of $180.85
Answers
Answer:
$182.88
Step-by-step explanation:
The table below shows the number of customers that come eat lunch at a local deli each week.
Week Number of customers
1 50
2 45
3 60
4 40
5 70
6 35
7 80
8 ?
Based on the information, how many customers should the deli expect to serve during week 8?
A.) 30
B.) 50
C.) 70
D.) 90
Answers
Answer: D 90
Step-by-step explanation: all you have to do is keep counting and youll find out! Have a nice day hope this helps. and thats it have a fantastic day and morning everyone stay focused and always beleave you can get things right Yahuah bless you!
Please, help me find the answer
Answers
The probability values for the questions posed are :
11/20probability of Public speaking given that student is majoring in Business Administration1/3A.)
Number of students Taking a public speaking class majoring in business administration.
10 + 45 = 55P(PS or BA) = 55/100 = 11/20
Therefore, the probability of PS or BA is 11/20
B.)
For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.
Hence, as inferred from P(A|B) ; probability of A given B.
C.)
P(PS|BA) = n(PSnBA) / n(BA)
n(PS) = 10+20 = 30
n(PSnBA) = 10
P(PS|BA) = 10/30 = 1/3
Therefore , the probability of PS|BA is 1/3.
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Write an equation or inequality.
A number times three increased by seven is 25.
Answers
(n represents the unknown number)
I hope this helps
Solve for p.
Y=1/7pk
P=?
Answers
So basically I want to know how many copies of 1 twelfth are equivalent to 3 sixths.
Answers
Answer:
We have seen in the above example that 12, 24 and 48 are equivalent fractions. Therefore, 12 can
4. The cases when one of the artists is out is useful for determining domain and range because it shows the most number of hours one would need to work when the other person works 0 hours. Recall that Philipe draws 3 per hour, Claude draws 4 per hour, and their goal is to draw a combined total of 60 caricatures per day. Let C' be the horizontal axis and P be the vertical axis.
Answers
One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.
The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).
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A skyscraper casts a shadow 200 ft long. If the angle of elevation of the Sun is 38 degrees, then the height of the skyscraper is approximately _____.
A. 200 ft
B. 173.34 ft
D. 156.26 ft
Answers
The height of the skyscraper is D. 156.26 ft
How to determine the valueTo determine the height of the skyscraper, we need to consider the following trigonometric identities listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Angle, θ = 38 degrees
The shadow casted is the adjacent side of the angle and is 200 ft
The height off the skyscraper is the opposite side
Now, using the tangent identity, we have that;
tan θ = opposite/adjacent
tan 38 = h/200
cross multiply the values, we get;
h = 200(0.7812)
Multiply the values
h = 156. 26 ft
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When 3x^2 - 8x - 4 is divided by 3x - 2,the result can be expressed as A-8/3x-2What is A in terms of x?
Answers
When you divide polynomials, you can use long division to find the answer.
The step by step process is:
As the remainder is -8, the result of the division is:
\(x-2+\frac{-8}{(3x-2)}=x-2-\frac{8}{3x-2}\)Then A in terms of x is:
\(\begin{gathered} A-\frac{8}{3x-2}=(x-2)-\frac{8}{3x-2} \\ \text{Then} \\ A=x-2 \end{gathered}\)
Karissa determines the area of her desk by multiplying 45.72 centimeters and 60.95 centimeters. She states that the area is 2786.634 square centimeters. Which best describes the reasonableness of Karissa’s solution?
A. The solution is unreasonable because 50 times 60 is 3,000, not 2,786.
B. The solution is reasonable because 50 times 60 is 3,000, which is close to the computed area.
C. The solution is unreasonable because there are four decimal places in the factors and only three decimal places in the product.
D. The solution is reasonable because there are four numbers to the left of the decimal in the factors and four numbers to the left of the decimal in the product.
Helppp
Answers
Answer:
b
Step-by-step explanation:
45.72*60.95 =2786.634, which means that the solution is reasonable.
in b, they used the method of estimation which is a quick method to check if the answer is right.
d doesnt make sense as the decimal places do not have to remain the same number after u multiply them, moreover there's only 2 dp in the factors
-27
Which of the following is equivalent to
نان-۴
?
N
O
(197)
NI
12
22
(22)
2².2
Answers
Answer:
3rd option
Step-by-step explanation:
(1/2)^-2t
= (2^-1)^-2t
= 2^2t
= (2^2)^t
Answered by GAUTHMATH
can someone help? I completely forgot how to find the answer when they only give us one angle
Answers
Answer:
a=70
Step-by-step explanation:
please mark as brainliest
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answers
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
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Researchers watched dolphin groups off the coast of Ireland in 1998 to determine what activities the dolphin groups partake in at certain times of the day. The numbers in table below represent the number of dolphin groups that were partaking in an activity at certain times of days.
Activity Morning Noon Afternoon Evening Total
Travel 6 6 14 13 39
Feed 28 4 0 56 88
Social 38 5 9 10 62
Total 72 15 23 79 189
What is the probability that a dolphin group is partaking in social activities?
Round your final answer to 3 decimal places.
b) What is the probability that a dolphin group is around in the afternoon?
Round your final answer to 3 decimal places.
c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon?
Round your final answer to 3 decimal places.
d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities?
Round your final answer to 3 decimal places.
e) What is the probability that a dolphin group is around in the morning given that it is partaking in social activities?
Round your final answer to 3 decimal places.
f) What is the probability that a dolphin group is around in the morning and is partaking in social activities?
Round your final answer to 3 decimal places.
g) What is the probability that a dolphin group is around in the morning or is partaking in social activities?
Round your final answer to 3 decimal places.
Answers
The probabilities for this problem are given as follows:
a) Dolphin partaking in social activities: 0.328 = 32.8%.
b) Dolphin group is around in the afternoon: 0.122 = 12.2%.
c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.
d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.
e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.
f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.
g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.
Item aThe outcomes are as follows:
Desired: 62 Dolphins partaking in social activities.Total: 189 Dolphins.Hence the probability is:
p = 62/189 = 0.328 = 32.8%.
Item bThe outcomes are as follows:
Desired: 23 Dolphins around in the afternoon.Total: 189 Dolphins.Hence the probability is:
p = 23/189 = 0.122 = 12.2%.
Item cThe outcomes are as follows:
Desired: 9 Dolphins around in the afternoon and partaking in social activities.Total: 23 Dolphins around in the afternoon.Hence the probability is:
p = 9/23 = 0.391 = 39.1%.
Item dThe outcomes are as follows:
Desired: 9 Dolphins around in the afternoon and partaking in social activities.Total: 62 partaking in social activities.Hence the probability is:
p = 9/62 = 0.145 = 14.5%.
Item eThe outcomes are as follows:
Desired: 38 Dolphins around in the morning and partaking in social activities.Total: 62 partaking in social activities.Hence the probability is:
p = 38/62 = 0.613 = 61.3%.
Item fThe outcomes are as follows:
Desired: 38 Dolphins around in the morning and partaking in social activities.Total: 189 Dolphins.Hence the probability is:
p = 38/189 = 0.201 = 20.1%.
Item gThe outcomes are as follows:
Desired: 72 Dolphins around in the morning, plus 24 partaking in social activities in either noon, afternoon or evening. Total: 189 Dolphins.Hence the probability is:
p = 96/189 = 0.508 = 50.8%.
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joe had 4.03 clip's and 5.09 clip's how much wood this be
Answers
Answer:
3/4 x 56 = 42 = Joe
2/7 x 42 = 12 = Keith
Clue: the word 'of ' tells us that we need to multiply.
Between the 1860s and the 1920s
In this essay, you are going to explain how the meaning of freedom changed from the Civil War until the
Roaring Twenties.
Your essay should at least include the following:
• Introductory Paragraph: Briefly state how you think the meaning of freedom changed during this
period.
• Body Paragraph 1: What did freedom mean to the slaves freed after the Civil War? (Unit 1)
• Body Paragraph 2: What did freedom mean to Native Americans at the end of the 19th century?
(Unit 2)
• Body Paragraph 3: What did freedom mean to women in the Suffrage Movement? (Unit 4)
• Additional Paragraphs: Add other historical examples. Optional
. Concluding Paragraph: Summarize your argument. Was there an expansion in freedom during
this period? What groups gained more freedom? What obstacles remained?
Provide a title to your essay and then write at least five paragraphs.
+
WILL GIVE BRAINLIEST
The prism shown in the diagram has a volume of 39 units³.
What is the volume of the pyramid? Explain your reasoning.
Answers
The volume of the pyramid equals the one-third of the volume of the rectangular prism which is: 13 units³.
What is the Volume of a Rectangular Prism?The volume of a rectangular prism is calculated as: V = (length)(width)(height).
How to Find the Volume of a Pyramid?The volume of a pyramid is calculated as one-third of the product of its height, width, and length. Thus, the formula is given as: volume = 1/3(length)(width)(height)..
How do the Volumes of a Rectangular Prism and Pyramid with the Same Dimensions Relate?If the height, width, and length of a pyramid are the same as the height, width, and length of a rectangular prism, then:
Volume of Pyramid = 1/3(volume of rectangular prism)
Volume of Pyramid = 1/3(length)(width)(height).
Given the following:
Dimensions of the pyramid and the rectangular prism are the same.
Volume of the rectangular prism = 39 units³.
Therefore, since the volume of pyramid = 1/3(volume of rectangular prism), we would have the following:
The volume of the pyramid = 1/3(39)
The volume of the pyramid = 13 units³
Therefore, the volume of the pyramid equals the one-third of the volume of the rectangular prism which is: 13 units³.
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Question 6/6
What is the 100th term of the sequence with the following explicit rule: f(n) = 9n-1
А. 900
ОО
B. 899
Answers
Explanation:
Replace n with 100 and simplify
f(n) = 9n-1
f(100) = 9(100)-1
f(100) = 900-1
f(100) = 899
The 100th term is 899
9(100)-1
900-1
899
Brainliest?
Hurry help I need help with this question
Answers
Answer:
The answer is B
Step-by-step explanation:
A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at level of 0.10? Assume the variable is approximately normally distributed.
Answers
The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
How to carry out hypothesis testing?Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.
Let us first define the hypothesis in this problem;
Null Hypothesis; H₀: μ_d = 0
Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)
The degree of freedom is;
DF = n - 1
DF = 6 - 1
DF = 5
At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.
Using a computer software, we can calculate the mean from the attached table as;
D' = ∑d/n
D' = 100/6 = 16.7
Similarly, the standard deviation is calculated from the formula;
S_d = √(n∑d² - (∑d)²)/(n(n - 1))
s_d = √(6.489 - 100²)/(6(6 - 1))
s_d = 25.4
The test statistic is gotten from the formula;
t = (D' - μ_d)/(s_d/√n)
t = (16.7 - 0)/(25.4/√6)
t = 1.610
This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
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What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1
Answers
The slope is the number with the letter x
The slope would be -10
The y intercept is the number at the end of the equation.
The y intercept is 1
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 74 . What is Mikhail’s age?
Answers
Answer:
43
Step-by-step explanation:
i hope this helps please give me brainliest
Answer:
Mikhail is 43; Gabrielle is 31.
Step-by-step explanation:
Let a = Mikhail's age.
Then a - 12 = Gabrielle's age.
\(a + a - 12 = 74\)
\(2a - 12 = 74\)
\(2a = 86\)
\(a = 43\)
So Mikhail is 43, and Gabrielle is 31.
Which could be the first step in simplifying this expression? Check all that apply.
(x cubed x Superscript negative 6 Baseline) squared
(x Superscript negative 18 Baseline) squared
(x Superscript negative 3 Baseline) squared
(x Superscript negative 2 Baseline) squared
x Superscript 6 Baseline x Superscript negative 12 Baseline
x Superscript 5 Baseline x Superscript negative 4
Answers
Answer:
I think that the answers are B and D.
Step-by-step explanation:
(x^-3)^2
x^6 x^-12
I'm so sorry if it's wrong.
Answer:
The answer is C, D, E
Step-by-step explanation:
ON EDGE 2021
Simplify 36 : (9-4). *
Answers
Answer:
Step-by-step explanation:
36/9
Which improper fraction is equivalent to 15 3/7
Answers
Answer:
108/7
Step-by-step explanation:
15*7 is 105+3 is 108/7
part of the proceeds from a garage sale was $370 worth of $5 and $20 bills. If there were 4 mote $5 bills and $20 bills, find the number of each denomination
Answers
Answer:
I am confused by this
Step-by-step explanation:
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
Answers
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answers
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2
pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per
pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate
the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas?
Answers
Answer:
price per pound of apple = $1.25
price per pound of banana = $0.75
Step-by-step explanation:
Your first question is what value should you multiply the second equation by in order to eliminate the y terms.
The number should be 3. Let us multiply the first equation by 2 and the second equation by 3 and see how y will be eliminated.
10x + 6y = 17...............(i)
9x + 6y = 15.75...........(ii)
10x - 9x = x
6y - 6y = 0
17 - 15.75 = 1.25
x = 1.25
let us find y
10x + 6y = 17...............(i)
10(1.25) + 6y = 17
12.5 + 6y = 17
6y = 17 - 12.5
6y = 4.5
divide both sides by 6
y = 4.5/6
y = 0.75
In order to eliminate y term from the system of equations we multiply equation 2 by -3.
The price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.
Given equations,
\(5x + 3y = 8.5\).........(1)
\(3x + 2y = 5.25\).......(2)
Here x is the cost per pound of apples, and y is the cost per pound of bananas.
According to the question, multiply the first equation by 2, we get
\(10x+6y=17\).....(3)
So, in order to eliminate y term from the system of equations we multiply equation 2 by -3, we get
\(-9x-6y=15.75\).....(4)
Now Adding (3) and (4) equation, we get
\(x=1.25\)
Putting the above value of x in equation 3 we get,
\(10\times1.25+6y=17\\12.5+6y=17\\6y=17-12.5\\6y=4.5\\y=\frac{4.5}{6} \\y=0.75\)
Hence the price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.
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A class contains 5 girls and 7 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
Answers
The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.
Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.
Determine the total number of students in the class. That is 5 + 7 = 12.
Determine the number of ways to select two students from the class.
Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.
In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).
C(12, 2) = 12! / (2!(12-2)!) = 66.
Determine the number of favorable outcomes.
In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.
To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):
Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.
So, the probability of selecting a girl and a boy for the class committee is 5/6.
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