1) make q the subject of the formula 4(q+p)=5+7q

2) Make x the subject of the formula y=2a-bx^2

Answers

Answer 1

Answer:

1) [tex]q = \frac{4p}{3} -\frac{5}{3}[/tex]

2) [tex]x = \frac{\sqrt{b -y + 2a} }{b}[/tex]

Step-by-step explanation:

1) 4(q + p) = 5 + 7q

  Multiply 4(q + p):

  4q + 4p = 5 + 7q

  4p - 5 = 7q - 4q

  4p - 5 = 3q

  [tex]\frac{4p}{3} - \frac{5}{3} = \frac{3q}{3}[/tex]

   [tex]\frac{4p}{3} - \frac{5}{3} = q[/tex]  or  [tex]q = \frac{4p}{3} - \frac{5}{3}[/tex]


Related Questions

solve the equation: 0.65 = 0.5c

Answers

Answer:

=1.3

Step-by-step explanation:

Combine multiplied terms into a single fraction

0

.

6

5

=

0

.

5

0.65=0.5c

0.65=0.5c

0

.

6

5

=

1

2

0.65=\frac{1c}{2}

0.65=21c​

2

Multiply by 1

3

Multiply all terms by the same value to eliminate fraction denominators

4

Cancel multiplied terms that are in the denominator

5

Multiply the numbers

6

Move the variable to the left

Solution

=1.3

Answer:

c = 1.3

Step-by-step explanation:

0.65 = 0.5c ( divide both sides by 0.5 )

[tex]\frac{0.65}{0.5}[/tex] = c , that is

c = 1.3

Jake bought cupcakes for his sister's birthday party. 33 out of the 44 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?

Write your answer using a percent sign (%).

Answers

The answer is 15% because the 33 cupcakes only had sprinkles on them

What is the answer for 3 4/8 + 1 1/4 + 4/6 in simplest form?

Answers

Answer:

5 5/12

Step-by-step explanation:

hoffe das hilft

Which number equals 3/4 to the power of negative 2?

Answers

Hi,

I just worked it out and got 16/9

Hope this helps !
16/9
-4*-4=16
-3*-3=9
This should be correct

Answer Please !!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

I can't draw here, but I can describe :

an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).

this fact makes the triangle symmetrical.

and that means that 2 angles are also equal (the angles of the legs with the baseline).

so, knowing that one angle is 34 degrees can mean 2 things :

either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.

as we know the sum of all angles in a triangle is always 180 degrees.

so case 1 : 34 degrees is the angle between the legs

180 = 34 + 2×base-leg-angle

144 = 2×base-leg-angle

each base-leg-angle = 72 degrees

case 2 : 34 degrees is one of the base-leg-angles

180 = 2×34 + between-the-legs-angle

180 = 68 + between-the-legs-angle

between-the-legs-angle = 112 degrees

so, you need to draw one triangle for each case.

since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :

one triangle with 34, 72, 72 degrees

and one triangular with 34, 34, 112 degrees

8/5 minus 1/6 their are four answers 22/15 43/30 1/6 or 48/30

Answers

Answer:

43/30

Step-by-step explanation:

a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z

Answers

Answers:

x = 72

y = 54

z = 54

================================================================

The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.

The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.

--------------

For any triangle, the three angles always add to 180. This means,

x+y+z = 180

72+y+z = 180 .... plug in x = 72

72+y+y = 180 ... recall that y = z

2y+72 = 180

2y = 180-72

2y = 108

y = 108/2

y = 54, which is also the measure of angle z as well

--------------

As a quick check,

x+y+z = 72+54+54 = 180

which helps confirm the answer.

Your normal work week is 30 hours. You make $10 an hour.Last week you worked 31 hours. What is your total paycheck.

Answers

Answer:

$310

Step-by-step explanation:

What is value of 4 to the power of negative 3

Answers

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

and 4³ = 4 × 4 × 4 = 16 × 4 = 64

Then

[tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

0.015625

uokcdjnjhxfukbgy

solve for y
6x - 3y = 15
hint: subtract 6x, divide by -3, simplify

Answers

Answer:

2.5

Step-by-step explanation:

6x-3y=15 because you have to times through 6x and 3y

At midnight, the temperature was 31.2°F. In the morning, the temperature was −6.7°F. Which statement describes the temperatures?

At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees lower.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees higher.
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees below 0.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees above 0.

Answers

Answer:

The third statemnet

Step-by-step explanation:

I say the third statement is correct because it says its 31.2 degrees above 0 which is positive. Also it says in the morning it was 6.7 below 0 which is negative which equlas-6.7. So that is why statement 3 is the correct answer.

State whether the percent of change is a percent
of increase or a percent of decrease. Then and the
percent of change. Round to the nearest whole
percent.
original: 54 new: 45

Answers

Answer:

percentage decrease

16.7 percentage of change

Peter says, "If you subtract 17 from my number and multiply the difference by - 2, the result is - 26."
What is Peter's number?
Peter's number is

Answers

Answer:

4 is the number

Step-by-step explanation:

(17-x)(-2)=-26

-34+2x=-26

2x=-26+34

2x=8

x=8/2

=4

-32a/15 + 6 simplified

Answers

Answer:

might be wrong but

3

2

+

9

0

1

5

Answer:

-32a/15 +6

Step-by-step explanation:

it does not change when you simplified

Line segment JK has endpoints J(2,-3) and K(-4,6). what are the coordinates of the midpoint of JK

Answers

Answer:

The midpoint is (-1, 1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(2+-4)/2 = -2/2 = -1

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(-3+6)/2 = 3/2 = 1.5

The midpoint is (-1, 1.5)

Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?

Answers

Answer:

$30.

Step-by-step explanation:

70/28 = 2.5

12 x 2.5 = 30

x/2 - 3 + 4x^2 + x - 4

Answers

Answer:

=4x^2 +  3/2 x − 7

Step-by-step explanation:

Let's simplify step-by-step.

x /2  −3 + 4x^2 + x − 4  

=  1 /2 x + −3 + 4x^2 + x + −4

Combine Like Terms:

=  1 /2 x + −3 + 4x^2 +x + −4

= (4x^2) + (  1 /2 x + x) + ( −3+−4 )

= 4x^2 + 3 /2 x + −7

At a department store, a woman's total was $284.00 for 7 items.

Answers

Answer:

40.5714

Step-by-step explanation:

Based on the given conditions, formulate: 284 ÷ 7

Evaluate the equation/expression: 40.5714

get the result: 40.5714

Answer: 40.5714

Instead of having a cake, Paul wants to make ice cream sundaes at his next birthday party. He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party. How many 1-gallon tubs of ice cream should he buy?

Answers

Answer:

8

Step-by-step explanation:

24÷2=16×1=16÷2=8

am not sure I think the answer is also 16 so look at other people answer

Paul should buy 3 gallons

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 people, multiply 24 by 2 to get the number of cups.

24 x 2 = 48.

Then, divide that by 16 (the number of cups in a gallon) to how many gallons.

48 ÷ 16 = 3

Therefore, he needs 3 gallons.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

A rock band made a concert tour of 13
cities. They traveled an average of
1,970 miles per week for 6 weeks. .
How far did they travel altogether?

Answers

Answer:

11820

Step-by-step explanation:

https://msquaredmathschool.files.wordpress.com/2017/04/block2key.pdf

Ed receives a tax refund of 37.50. He spends 2/3 of his refund on clothing. He divides the rest among his 5 children. How much money does he give each child?

Answers

Answer:

He gave 2.50$ to each of his children

Step-by-step explanation:

Answer:

Each child got $2.50

What exactly is this? 2+6x = 1-x

Answers

X=-1/7 i hope this helped answer ur questions

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers. ​

Answers

Answer:

Let x = the smaller number

Let 3x + 15 = the larger number

x + 3x + 15 = 63

4x = 48

x = 12

3(12) + 15 = 51

Step-by-step explanation:

The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.

Answers

Answer:

[tex]16 (1 +0.09)^{8}\\[/tex]

Future Amount = 38 (rounded)

Step-by-step explanation:

hope this helps.

could someone please help answer this, please no spam, will give brainliest, thank you!
(homework help)

Answers

Answer:

[tex]x>-5[/tex]

Step-by-step explanation:

[tex]\frac{-1}{5} x+1<2[/tex]

Subtract 1 from both sides

[tex]\frac{-1}{5} x+1-1<2-1[/tex]

Simplify

[tex]\frac{-1}{5} x<1[/tex]

Multiply both sides by -1, which reverses the inequality also

[tex]\frac{-1}{5} x(-1)>1(-1)[/tex]

Simplify

[tex]\frac{1}{5} x>-1[/tex]

Multiply both sides by 5

[tex]5*\frac{1}{5} x>5(-1)[/tex]

Simplify

[tex]x>-5[/tex]

LCD of the fractions below

1/3 And 5/8

Answers

Answer:

24

Step-by-step explanation:

LCD = 24

Equivalent Fractions with the LCD

1/3 = 8/24

5/8 = 15/24

Draw the graph of y=3-1/2x HELP

Answers

I hope this helps you!!!! :)

2.75 mi+3 mi+ 2.5 mi =?

Answers

Answer: 8.25mi

Step-by-step explanation:

Just add them all together

8.25 mi

Step-by-step explanation:

2.75 mi + 3 mi + 2.5 mi

= (2.75 + 3 + 2.5)mi

= (5.75 + 2.50)mi

= 8.25 mi

pls help
A newspaper reports the following changes in the temperature of a city over 4 days:


1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius


Write an expression to show the average daily change in the temperature of the city.


Write the steps to solve the expression. Round your answer to the nearest hundredth.A newspaper reports the following changes in the temperature of a city over 4 days:


1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius


Write an expression to show the average daily change in the temperature of the city.


Write the steps to solve the expression. Round your answer to the nearest hundredth.

Answers

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed of the second car is 55 miles per hour. Which equation can be used to determine t, the time it takes for the two cars to pass each other?A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows First Car and has 60, t, and 60 t. The second row shows Second Car and has, 55, t, and 55 t.60t – 55t = 060t + 55t = 160t + 55t = 15060t – 55t = 150

Answers

Answer:

your equation should be 60t + 55t =150

Answer:

The answer is C!

Step-by-step explanation:

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