we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx
The linear equation passes through the origin (0,0)
therefore
In this problem
the answer is option C and Fevaluate 103 × 97 without directly multiplying
Answer:
9991
Step-by-step explanation:
103 × 97
(100 +3) (50+47)
get two number which you can add to get the value in the question
n then expand
100(50+47) +3(50+47)
5000+4700+150+141
9991
How many particles in
9.89 moles of Carbon?
The number of particles in 9.89 moles of carbon is solved to be
5.95 x 10^24 particlesHow to find the number of particles in 9.89 moles of carbonTo determine the number of particles in 9.89 moles of carbon, we can use Avogadro's constant, which is defined as the number of particles (atoms or molecules) in one mole of a substance.
Avogadro's constant is approximately 6.02 x 10^23 particles per mole.
So, the number of particles in 9.89 moles of carbon is:
= 9.89 moles x (6.02 x 10^23 particles/mole)
= 5.95 x 10^24 particles
Therefore, there are approximately 5.95 x 10^24 particles in 9.89 moles of carbon.
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answer 5 questions on the bottom right side.
Answer:
1)m<ABH=121°
2)m<GDF=59°
3)X=35
4)m<ABC=59°
5)m<EDA=59°
Step-by-step explanation:
1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other
5x-54=3x+16
5x-3x-54=3x-3x+16
2x-54=16
2x-54+54=16+54
2x=70
2x/2=70/2
X=35
2. Now plug in X to each equation to test if it works
5(35)-54=3(35)+16
175-54=105+16
121=121
3. Now replace the two expressions with 121
4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.
5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16
NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.
What is the solution to the inequality below?
x2 > 25
A. x < 5 and x>-5
B. x < 5 or x>-5
C. x> 5 or x<-5
D. x > 5 and x < -5
The answer is D
Steps
Take the root of both sides and solve
(7x + 2) =
(6x - 5) =
Answer:
a. 9x
b. 1x
Step-by-step explanation:
a. take away the (x) for a moment 7+2=9 now add the (x) back in to the 9 and you get 9x
b. take away the (x) for a moment 6-5=1 now add the (x) back in to the 1 and you get 1x
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the rates with their equivalent unit rates.
Answer:
I have placed the correct answers in the image above
Answer:
Step-by-step explanation:
Divide the numbers with each other.
a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.
Step-by-step explanation:
Graph f(x) = - |x +4| - 3. Please hurry need help asap. ( Show me where the points go on paper. Not good at graphs. [ Will Mark Brainliest]
Answer:
\(the \: points \: are \: ( - 7, \: 0) \: and \: (0, \: - 7).\)
Step-by-step explanation:
\(f(x) = - |x +4| - 3. \\ if \: x= 0 \\ y = - 4 - 3 \\ y = - 7. \\ \\ if \: y = 0 \\ x = - 4 - 3 \\ x = - 7.\)
What is the surface area of the cube?
Answer: A=6a^2
Step-by-step explanation:
This is the equation to solve any Surface area of a cube question.
How many terms of the G.P 3 , 3/2,3/4 are needed to give the Sum 3069 /512
Answer: 10
Step-by-step explanation:
The first term is 3 and the common ratio is 1/2.
Using the sum of a geometric series formula,
\(\frac{3069}{512}=\frac{3(1-(1/2)^{n}}{1-(1/2)}\\\\\frac{3069}{1024}=3(1-(1/2)^{n})\\\\\frac{1023}{1024}=1-(1/2)^{n}\\\\-(1/2)^{n}=-\frac{1}{1024}\\\\(1/2)^n=\frac{1}[1024}\\\\2^{-n}=2^{-10}\\\\n=10\)
The difference of three times a number
and 8 is one more than twice the number.
Answer:
3x - 8 = 2x + 1
Step-by-step explanation:
Let x be the number
3x - 8 = 2x + 1
3x - 8 (The difference of three times a number and 8)
2x + 1 ( one more than twice the number)
According to Greg, the perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
3 pies need 240 cherries so the equation would be:
3c = 240
so, c = 80
But, he needs to make 9 "perfect" pies so you make the equation:
9c = 80*9
9c = 720
So Greg needs 720 cherries to make 9 perfect cherry pies.
Estimate 38 3/22 - 14 29/30 by rounding each number to the nearest whole number
14. Which One Doesn't Belong? Circle the
system of equations that does not belong
with the other two. Explain your reasoning.
y=x+6
y = -x + 2
3x + y = -1
y = 4x + 6
y=-4x-3
y + 4x = -5
The system of equation that does not belong to the other two is the third system of equations; y = -4·x - 3, y + 4·x = -5, This is so because, the third system has no solutions.
What are linear system of equations?A linear system of equations consists of two or more linear equations that consists of common variables.
The possible equations are;
y = x + 6, y = -x + 2
3·x + y = -1, y = 4·x + 6
y = -4·x - 3, y + 4·x = 5
Evaluation of the system of equations, we get;
First system of equations;
y = x + 6, y = -x + 2
x + 6 = -x + 2
x + x = 2 - 6 = -4
2·x = -4
x = -4/2 = -2
x = -2
y = x + 6
y = -2 + 6 = 4
y = 4
The solution is; x = -2, y = 4
Second system of equation;
3·x + y = -1, y = 4·x + 6
3·x + 4·x + 6 = -1
7·x + 6 = -1
7·x = -1 - 6 = -7
x = -7/7 = -1
x = -1
y = 4·x + 6
y = 4 × (-1) + 6 = 2
y = 2
The solution to the second system of equation is; x = -1, y = 2
Third system of equation;
y = -4·x - 3, y + 4·x = 5
y + 4·x = 5
-4·x - 3 + 4·x = 5
-4·x + 4·x - 3 = 5
0 - 3 = 5
-3 = 5
The third system of equation has no solution
The system of equations that does not belong with the other two is the third system of equation; y = -4·x - 3, y + 4·x = 5, that has no solution.
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Match the correct equation with the proportional relationship. X 1 2 3Y 1.5 3 4.5
First, we use the formula below.
\(y=kx\)Then, we replace the point (1, 1.5) and solve for k.
\(\begin{gathered} 1.5=k\cdot x \\ k=1.5 \end{gathered}\)Now, we replace it in the formula. Therefore, the equation for the given table is
\(y=1.5x\)1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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Can anyone help me solve this or atleast give me the answers
The measure of the angles formed between parallel lines and their transversals indicates;
(c)(e)(a)(d)(b)(f)(e)(a)m∠MNP = 56°m∠WXZ = 130°9. m∠3 = 97°, m∠5 = 97°, m∠10 = 97°, m∠7 = 83°
What are parallel lines?Parallel lines are lines that maintain the are equidistant from each other and have the same slope on the coordinate plane.
The angles formed between the parallel lines and their transversal are;
1. Alternate exterior angles; (c) ∠9 and ∠16
2. Supplementary angles (e); ∠15 & ∠11
3. Alternate interior angles (a); ∠10 & ∠15
4. Vertical angles (d); ∠12 & ∠15
5. Corresponding angles (b); ∠9 & ∠11
6. None (f); ∠9 & ∠15
7. Supplementary angles (e); ∠13 & ∠14
8. Alternate interior angles; ∠14 & ∠11
9. The alternate interior angles theorem indicates that we get;
(a + 28) = 2·a
Therefore; 2·a - a = 28
2·a - a = a, therefore;
a = 28
∠MNP = (a + 28)° = (28 + 28)° = 56°
10. The alternate interior angles theorem indicates that we get;
5·y° = (2·y + 78)°
Therefore;
5·y - 2·y = 78
3·y = 78
y = 78/3 = 26
The measure of the angle WXZ, m∠WXZ = 5·y°
Therefore; m∠WXZ = 5 × 26 = 130
m∠WXZ = 130°
9. ∠2 ≅ ∠3 (Vertical angles theorem)
m∠2 = m∠3
Therefore; m∠3 = m∠2 = 97°
m∠5 + m∠6 = 180° (Linear pair angles theorem)
m∠5 + 83° = 180°
m∠5 = 180° - 83° = 97°
∠10 and ∠2 are corresponding angles, therefore;
m∠10 = m∠2 = 97°
∠7 and ∠6 are vertical angles, therefore;
m∠7 = m∠6 = 83°
∠9 and ∠3 are same side interior angles, therefore;
m∠9 + m∠3 = 180°
m∠9 = 180° - m∠3
m∠9 = 180° - 97° = 83°
∠8 and ∠6 are linear pair angles, therefore; m∠8 = 180° - 83° = 97°
∠16 and ∠6 are same side exterior angles, therefore;
m∠16 + m∠6 = 180°
m∠16 = 180° - 83° = 97°
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Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set {99, 72, 86, 80, 96, 87, 79, 87). Which 5-number
summary represents the data set? (2 points)
A {72, 79, 86, 96, 99)
b {72, 79.5, 86.5, 91.5, 99}
c {72, 79, 83, 87, 96)
d {72, 79, 86, 87, 96)
Answer:
{72, 79.5, 86.5, 91.5, 99}
Step-by-step explanation:
I took the quiz and got it correct.
Minimum is 72
Maximum is 99
Q1 is 79.5
Q3 is 91.5
Median is 86.5
So the 5-number summary is {72, 79.5, 86.5, 91.5, 99}
Using Compound Interest, calculate the principle and interest earned (final
balance/principal
and interest) if:
Principle=$2,000
Interest Rate=8.5%
Time=10 years
Interest Calculated Quarterly
Answer: 20,085
Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.
I hope I got this right and if I did it right.
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
please help UwU
if correct you get Brainiest
Answer: C
Step-by-step explanation:
What is the interest earned on a principal of $250 at 3% interest for 9 years
Answer: $67.50
Step-by-step explanation:
This question is asking for the amount of interest earned so let's write out the formula.
\(I=Prt\)
Where:
I is the amount of interest
P is the principal amount ($250)
r is the interest rate (3% or 0.03)
and t is the time (9 years)
Sub in our values into the equation and solve
\(I=(250)(0.03)(9)\\I=(7.5)(9)\\I=67.50\)
The expression 1.28(0.6p) represents the amount Stella paid for dinner at a restaurant after she applied a discount coupon and added tip. Which changes to the original price could have resulted in the expression?
The given expression is 1.28(0.6p).
It's important to know that 1.28 represents 128% which means she paid 28% in tips.
Additionally, 0.6p represents she paid only 60% of the original, so the discount was 40%.
Hence, the correct answer is D.the length of a rectangle is 2ft more than twice the width. the area of the rectangle is 40 ft².find the length and the width of the rectangle.
what is 2x+3=41 find x
Answer:
2x24=3=41
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
2x+3=412x +3 -3= 41 - 32x = 382x/2 = 38/2x = 194x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
Leah said on her birthday: “Today I am exactly three times as old as I was four years ago.“ And that was true. In how many years can Leah truthfully say on her birthday: “Today I am exactly twice as old as I was four years ago“?
in 2 years, Leah will be exactly twice as old as she was four years ago. Therefore, the answer is 2 years.
How to determine In how many years can Leah truthfully say on her birthday: “Today I am exactly twice as old as I was four years ago“Let's start by setting up an equation based on the given information.
Let Leah's current age be represented by "x". Then, we know that:
x = 3(x-4)
Expanding the right side of the equation:
x = 3x - 12
Bringing the "x" term to the left side and simplifying:
2x = 12
x = 6
So Leah is currently 6 years old. Now we want to find out how many years it will take for her to be exactly twice as old as she was four years ago. Let's represent this number of years as "y". Then we can set up another equation:
6 + y = 2(6 - 4 + y)
Simplifying:
6 + y = 2(2 + y)
6 + y = 4 + 2y
2 = y
So in 2 years, Leah will be exactly twice as old as she was four years ago. Therefore, the answer is 2 years.
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There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Which table shows values for the equation y=3x+2
?
Answer:
Answer is option D
Step-by-step explanation:
Hope this helps:)