The corresponding answers to each expression are;
1. 5x x (3+5) / 12 - 2 x 2 = 5
2. (11 + 3²) ÷ 4 - 2 = 3
3. (48 - 12 ÷ 2 / 7 - 1) + 1 = 8
4. (25 - (4 - 1)² / 2³ - 4) + 2 = 6
5. (3² - 4) x (7 + 5) / -12 ÷ -3 = 15
How do you solve for each expression?
1. 5 x (3+5) / 12 - 2 x 2 =
5 x 8/ 12 - 4=
40/8 = 5
2. (11 + 3²) ÷ 4 - 2 =
11 + 9 ÷ 4 - 2=
20 ÷ 4 - 2
5 - 2 = 3
3. (48 - 12 ÷ 2 / 7 - 1) + 1 =
(48 - 6/ 6) + 1 =
42/6) + 1 =
7 + 1 = 8
4. (25 - (4 - 1)² / 2³ - 4) + 2 =
25 - 9/ 4) + 2 =
16/4 + 2 =
4 + 2 = 6
5. (3² - 4) x (7 + 5) / -12 ÷ -3 =
9-4 x 12/ 4 =
5 x 12/ 4=
60/4 = 15
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-(9-6)+(-1-2)-(3+4)+(5-6)=
Answer:
Step-by-step explanation:
-9+6-1-2-3-4+5-6
-3-3-7-1
-6-8
-14
Answer:
The answer is -14.
Step-by-step explanation:
-(9 - 6) + (-1 -2) - (3 + 4) + (5 - 6)
Subtract 6 from 9 to get 3.
-3 -1 -2 - (3 + 4) + 5 - 6
Subtract 1 from -3 to get -4.
-4 - 2 - (3 + 4) + 5 - 6
Subtract 2 from -4 to get -6.
-6 - (3 + 4) + 5 - 6
Add 3 and 4 to get 7.
-6 - 7 + 5 - 6
Subtract 7 from -6 to get -13.
-13 + 5 - 6
Add -13 and 5 to get -8.
-8 - 6
Subtract 6 from -8 to get -14.
-14.
PLEASE HELP please..
The distance across the lake is as follows;
d = 45 m.
How to find the side of similar triangle?Similar triangle are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
Therefore, let's find the side d of the similar triangles DBA and ECA.
Hence, using proportion,
d / 30 = 145 + 290 / 290
d / 30 = 435 / 290
cross multiply
290d = 435 × 30
290d = 13050
divide both sides by 290
d = 13050 / 290
d = 45
Therefore,
d = 45 meters
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Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3
Answer:
-4,-1,2,3
Step-by-step explanation:
Evan used half of his paycheck for his car payment, then $125 for groceries. If he has $215 left, how much was his paycheck?
So, the Evan's paycheck is $680.
If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles
Measure=?
Answer:
PQS is a straight line, so:
(3x - 5) + (x + 1) = 180
4x - 4 = 180
4x = 184
x = 46 degrees
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
The population of a town increased from 3700 in 2005 to 5900 in 2009. Find the absolute and relative (percent) increase.
Absolute increase:
Relative increase:
%
The absolute increase in population is 2200, and the relative increase is approximately 59.46%.
To find the absolute and relative increase in population, we can use the following formulas:
Absolute increase = Final value - Initial value
Relative increase = (Absolute increase / Initial value) * 100%
Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:
Absolute increase = 5900 - 3700 = 2200
To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:
Relative increase = (2200 / 3700) * 100% ≈ 59.46%
Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.
The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.
Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.
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Could someone please help here in so lost
Answer:
x=3
(26x+50degreese) = 134 degreese
Step-by-step explanation:
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
The diameter of a cake is 7.8 inches. What is the area of the cake?
Answer:
A = 12.25 sq inches
Step-by-step explanation:
A = (7.8/2)²π
A = 3.9²π
A = 12.25 sq inches
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
Problem 7.
Consider the graph of f(x) given below: F(x) A 2 A 20 (click on image to enlarge) Find a possible formula for the transformations of f(x) shown below
The possible formula for the transformation shown on the graph is given as follows:
y = f(x) + 4.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.From the graph, the function is translated four units up, hence the formula is given as follows:
y = f(x) + 4.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
3/5 + 2/6=......................
Answer:
14/15
Step-by-step explanation:
3/5 + 2/6 = 3/5 + 1/3
5, 3: 15
= 9/15 + 5/15
= 9 + 5/15
= 14/15
Which of the following are solutions to the inequality below? Select all that apply. 89 < 12 h
Answer:
7.4 < h
Step-by-step explanation:
89 < 12h
Divided both sides by 12
7.4 < h
The answer is:
⇨ h > 7.417Work/explanation:
The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.
So I divide each side by 12
\(\bf{7.417 < h}\)
Hence, h > 7.417Raoul make shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. Raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?
Answer: The percent markup for a shell necklace = 200%
Step-by-step explanation:
Given: Cost price per necklace = $3.75
Selling price per necklace = $11.25
Mark up = (Selling price - Cost price )
= $ (11.25 -3.75 )
=$ 7.5
The percent markup for a shell necklace = \(\dfrac{\text{Mark up}}{\text{cost price}}\times100\%\)
\(=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%\)
Hence, The percent markup for a shell necklace = 200%
The percent markup for a shell necklace is 200%.
Definition of markupMarkup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.
Calculation of percentage markupPercentage markup = (profit / cost price) x 100
Profit = $11.25 - $3.75 = $7.50
Percentage markup = ($7.50 / $3.75) x 100 = 200%
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Can someone help me?
Answer:
Step-by-step explanation:
By substituting the value of \(x\) in the given expressions we can find the value of the expressions,
If the expression is \(x^{5}\),
Substitute the value \(x=2\).
\(x^{5}=2^5\)
\(=2\times 2\times 2\times 2\times 2\)
\(=32\)
By substituting \(x=2\) in the second expression \(8^x\)
\(8^{x}=8^2\)
\(8^2=8\times 8\)
\(=64\)
By substituting \(x=2\) in the third expression \(x^4\)
\(x^4=2^4\)
\(2^4=2\times 2\times 2\times 2\)
\(=16\)
Use the parallelogram to the right to find the measure of d
Check the picture below.
Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, heart, and club). Count how many possible ways to geta(a)Two-pairs: Two pairs plus another card of a different value, for example:(b)Flush: five cards of the same suitbutdifferent values, for example: (c)Full house: A three of a kind and a pair, for example: (d)Four of a kind: Four cards of the same value, for example:
Answer:
a) 182 possible ways.
b) 5148 possible ways.
c) 1378 possible ways.
d) 2899 possible ways.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this question, we have that:
There are 52 total cards, of which:
13 are spades.
13 are diamonds.
13 are hearts.
13 are clubs.
(a)Two-pairs: Two pairs plus another card of a different value, for example:
2 pairs of 2 from sets os 13.
1 other card, from a set of 26(whichever two cards were not chosen above). So
\(T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182\)
So 182 possible ways.
(b)Flush: five cards of the same suit but different values, for example:
4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So
\(T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148\)
So 5148 possible ways.
(c)Full house: A three of a kind and a pair, for example:
4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).
3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So
\(T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378\)
So 1378 possible ways.
(d)Four of a kind: Four cards of the same value, for example:
4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).
1 from the remaining 39(do not involve the kind chosen above). So
\(T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899\)
So 2899 possible ways.
Solve for x.
7x= 11.2
Answer:
X = 1.6
Step-by-step explanation:
Divide 7 on both sides:
7x = 11.2
x = 1.6
X, therefore, is 1.6.
Hope this helps!!
- Kay :)
Find the value of 9+p when p=19
Answer:
9 + p = 28
Step-by-step explanation:
p = 19
9 + 19 = 28
Answer:
28
Step-by-step explanation:
9 + 19 = 28
I need help with this question
Step-by-step explanation:
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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0.6 written as a fraction is
Answer:
3/5
Step-by-step explanation:
The way you read a decimal fraction tells you how to write it with numbers.
0.6 = "six tenths" = 6/10
This can be reduced to 3/5.
looking for the domain and range
Answer:
Domain: x ≥ -2
Range: y ≥ -4
Step-by-step explanation:
Since the dot is filled in, it means that the values of domain and range will be greater than or equal. The domain is represents all the values of x, and range is of y, shown in the graph. The smallest value of x is -2, and it continues to the right, increasing. The smallest value of y is -4, and it continues its way up, also increasing.
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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Choose the term that is a number that describes the middle of a data set.
a.) Outlier b.) Spread c.) Shape d.) Center
Answer:
center
Step-by-step explanation:
If Sam has 5 blue shirts and 7 red shirt, what is Sam's ratio of blue shirts to red shirts?
Answer: 0.71428 or 5:7 or 5/7
Step-by-step explanation: just divide on a calculator
Angle Addition Crossword
Find the missing angles. To check the accuracy of your responses,
place your answers in the crossword grid,
Answer:
Step-by-step explanation:
1). m∠AEC = m∠AEB + m∠BEC
= 21° + 37°
= 58°
2). m∠BED = m∠BEC + m∠CED
= 37° + 44°
= 81°
3). m∠IKF = m∠IKH + m∠HKG + m∠GKF
= m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]
= 2∠IKH + m∠HKG
103° = 2∠IKH + 41°
2(∠IKH) = 103 - 41
m(∠IKH) = 31°
4). m∠AED = m∠AEB + m∠BEC + m∠CED
= 21° + 37° + 44°
= 102°
5). m∠JKG = 108°
m∠JKG = m∠JKI + m∠IKH + m∠HKG
108° = m∠JKI + 31° + 41°
m∠JKI = 108° - 72°
m∠JKI = 36°
6). m∠HKF = m∠GKF + m∠HKG
= m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]
= 31° + 41°
= 72°
7). m∠NQO = m∠MQN = 64°
8). m∠JKF = m∠JKI + m∠IKF
= 36° + 103°
= 139°
8). m∠MQO = 2(m∠NQO)
= 2(64)°
= 128°
9). m∠LQO = 156°
m∠LQM = m∠LQO - m∠MQO
= 156° - 128°
= 28°
10. m∠NQP = m∠NQO + m∠OQP
= 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]
= 64° + 28°
= 92°