1/2(10p-7q) if p=9 and q=2

The value of a in terms of b is given as [tex]a = 8b^3[/tex]

Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

We are to solve the equation for the variable "a"

Given;

[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

Cross multiply

[tex]2b=\sqrt[3]{a-1}[/tex]

Cube both sides of the equation:

[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]

Add 1 to both sides of the equation:

[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]

Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]

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Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

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Answer:

solution,                                                                                                                                     cp=Rs150                                                                                                                                        profit=Rs12                                                                                                                              Now,                                                                                                                                                   profit percent=profit% of cp                                                                                              or,profit percent=12/100 x Rs150                                                                                                Therefore,profit percent =18%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

We know that

Profit% = Profit/CP × 100

=> 12/150 × 100

=> 12/15 × 10

=> 4/5 × 10

=> 8%

Answer:

n=19

d=12

$225n+$250d=

$225(19)+$250(12)=

4275+3000

=7275

Step-by-step explanation:

Answer:

y = 4x + 8

Step-by-step explanation:

1) Find slope:

y2-y1/x2-x1

12-8/1-0 = 4/1 = 4

Slope = 4

2) Plug in a point in point-slope form

y-y1=m(x-x1)

y-8=4(x-0) =

y-8=4x-0 -> add 8 to both sides

y=4x+8

Answer:

  7/9

Step-by-step explanation:

Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.

  [tex]\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

Answer: Choice A

Explanation:

The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".

One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.

Answer:

area = PI x r^2

area = 3.14 x 13^2

area = 3.14 x 169

area = 530.66

Step-by-step explanation:

Plz Mark as brainliest hope this helps

F = 9/5C + 32

F - 32 = 9/5C

C = 5/9(F - 32)

Correct answer: A

Hope this helps! :)

Answer:

46.85

Step-by-step explanation:

He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85

Answer:

4/11

Step-by-step explanation:

Outcomes that meet your requirement are

 (1, 6), (2, 6), (6, 1), (6, 2)

for a total of 4 favorable outcomes.

There are 11 outcomes in which one die shows a 6.

So your probability would be 4/11.

Answer:

The answer is c when u solve for x it gives 0 and for y gives 2

The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence

The given sequence is:

[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]

A sequence is an arithmetic sequence if it has a common difference d

In the given sequence:

[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]

[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]

Since the sequence has a common difference of 2/3, it is an arithmetic sequence

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Answer: times

Step-by-step explanation:

Answer:

$1

Step-by-step explanation:

Sorry the first x is blank

The second x:

$5.06-$2.06=$3

3/3=$1

Based on the number of cupcakes that Autumn made and the relationship to Averle, the number of cupcakes made by Averle was 16 cupcakes.

Autumn made 72 more cupcakes that the cupcakes made by Averle.

Autumn made 88 cupcakes which means that the number of cakes made by Averle must have been 72 less than this:

= 88 - 72

= 16 cupcakes

In conclusion, Averle made 16 cupcakes.

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Answer:

x = 2

Step-by-step explanation:

subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2

Answer:

Step-by-step explanation:

[tex]\sf 19 =5+7x[/tex]

First, let's swap sides so that all variable terms are on the left hand side.

[tex]\sf 5+7x=19[/tex]

Subtract 5 from both sides:

[tex]\sf 7x=19-5[/tex]

Subtract 5 from 19:

[tex]\sf 7x=14[/tex]

Divide both sides by 7:

[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]

[tex]\sf x=2[/tex]

_____________________________________

Answer:

y = 2x - 4.

Step-by-step explanation:

2x - y = 4

Subtract 2x from both sides

- y = -2x + 4

Multiply both sides by -1:

y = 2x - 4.

Answer:

y=-2x+4

Step-by-step explanation:

2x-y=4  -  move the 2x to the right side by subtracting 2x from both sides

2x - y = 4

-2x       -2x =

-y=-2x+4  -   negative variable turns into y, since the negative isn't relevant

y=-2x+4

[tex](3-5i)^2\\\\=3^2-2(3)(5i) + (5i)^2\\\\=9-30i +25i^2\\\\=9-30i +25(-1)~~~~;[i^2=-1]\\\\=9-30i-25\\\\=-16-30i[/tex]

Answer:

P = − 0.002x + 2.5 − 700 over x

Step-by-step explanation:

The best prediction of Riley’s height is 65.84 inches and it can be determined by using the linear regression equation.

Bryce wrote the linear regression equation,

[tex]\rm y=1.123x-6.443[/tex]

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

Which is the best prediction of Riley’s height?

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

[tex]\rm y=1.123x-6.443[/tex]

Where the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches,

Then,

The best prediction of Riley’s height is,

[tex]\rm 67.5 = 1.123x -6.443\\\\67.5+6.443=1.123x\\\\ 73.943 = 1.123x\\\\ x = \dfrac{73.943}{1.123}\\\\ x = 65.84 \ inches[/tex]

Hence, The best prediction of Riley’s height is 65.84 inches.

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Answer:

Option B, x + 2y = 8

Step-by-step explanation:

When two lines are parallel, their gradients are equal i.e M1 = M2

(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)

Gradient of a line = (y2 - y1)/(x2 - x1)

Using coordinates (-4,0) and (4,-4)

Gradient of the line = (-4-0)/[4-(-4)]

= -4/4+4

= -4/8

= -1/2

Therefore gradient of the parallel line is -1/2

Equation of a line using slope intercept form

(y - y1) = m(x - x1)

The parallel line passes through point (2,3)

y - 3 = -1/2 ( x - 2)

2(y - 3) = -1(x - 2)

2y - 6 = -x + 2

2y + x = 8

I hope this helps you to learn....

The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]

The weights are given as:

[tex]Small\ Square = 1[/tex]

[tex]Larger\ Square = 10[/tex]

The total weight on one side, where there are 4 small squares and 3 large squares is:

[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]

[tex]Total =4\times 1 + 3 \times 10[/tex]

[tex]Total =34[/tex]

The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:

[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]

[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]

[tex]Total =2+ 20+ 1\times triangle[/tex]

[tex]Total =22+ 1\times triangle[/tex]

[tex]Total =22+ triangle[/tex]

The weight of the triangle is x.

So, we have:

[tex]Total =22+ x[/tex]

The weights on both sides are equal, because the scale is balanced.

So, we have:

[tex]22 + x = 34[/tex]

Hence, the equation is [tex]22 + x = 34[/tex]

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Answer:

C

Step-by-step explanation:

y = 10

x = 8

The y intercept is 0 and the line runs through (0,0)

m = y / x This formula can only be used when the y incept is 0.

m = 10/8

m = 5/4

Equation

y = 5/4 x

3

Answer:

6, 60, 0.6, 600 are the answers

the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some

Step-by-step explanation:

Answer:

0.375 liters per day

Step-by-step explanation:

1.5 / 4 = 0.375 liters per day

Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.