Frank makes x dollars per week. His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars. How much does frank earn each week? How much does franks dad earn each week?

Answer:

76 quarters and 83 dimes

Step-by-step explanation:

From the information given, you can write the following equations considering that a quarter represents $0.25 and a dime $0.10:

y=x+7 (1)

0.25x+0.10y=27.30 (2)

x is the number of quarters

y is the number of dimes

Now, you can replace (1) in (2):

0.25x+0.10(x+7)=27.30

0.25x+0.10x+0.7=27.30

0.35x=27.30-0.7

0.35x=26.6

x=26.6/0.35

x=76

Then, you can replace the value of x in (1) to find the value of y:

y=76+7

y=83

According to this, the answer is that there are 76 quarters and 83 dimes in the jar.

There are 76 quarters and 83 dimes in the jar.

Thomas collects dimes and quarters in his change jar.

If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30.

Let, x be the number of the dimes.

And y be the number of quarters.

If he has 7 more dimes than quarters,

[tex]\rm y=x+7[/tex]

The total amount of money in the jar is $27.30.

[tex]\rm 0.25x+0.10y=27.30[/tex]

Substitute the value of y in equation 2

[tex]\rm 0.25x+0.10y=27.30\\\\ \rm 0.25x+0.10(x+7) =27.30\\\\ 0.25x + 0.10x + 0.7= 27.30\\\\0.35x=27.30-0.7\\\\0.35x=26.6\\\\x = \dfrac{26.6}{0.35}\\\\\rm x =76[/tex]

Substitute the value of x in equation 1

[tex]\rm y = x+7\\\\y =76+7\\\\y=83[/tex]

Hence, there are 76 quarters and 83 dimes in the jar.

To know more about Equation click the link given below.

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Answer:

6 in.

Step-by-step explanation:

What you have selected is the correct answer.

To find the area of a square you multiply length and width.

Since this is a square all sides are the same number. So we would just square root 36. And we get 6. We then multiply that by 4(however many sides of a square) to find the perimeter. And we get 24.

Hope this isn't too late.

Answer:

(44.25/75)*100 or (44.25/3)*4

Step-by-step explanation:

Divide by the price of $44.25 by 75 (100% - 25%) and mulitily by 100

or $44.25 by 3 and multyply by 4. (25% is a quarter 1/4, so you need 4/4)

Answer:

Exposure to the UV light is the dependable independent variable.

Step-by-step explanation:

An independent variable does not depend on another variable, but can rather have another variable depending on it. In this case, the chances of getting skin cancer depends on if a person is exposed to a high dose of UV light. The chances of getting skin cancer is the dependent variable, while the exposure to the UV light is the independent dependable variable.

Answer:

Dependable variable

Step-by-step explanation:

Answer:

you actually don't need a graph to be able to solve this equation. As long as you are given two data points, you can already solve for the linear equation. The most common way of writing linear equations is the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Step-by-step explanation:

Answer:

8x + 40

Step-by-step explanation:

Answer:

n > 3

Step-by-step explanation:

n + 8 > 11

    -8   -8

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

     n > 3

Hope this helps!

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

Explanation:

Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,

angle PRT = 35 degrees

which we'll use later.

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

Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.

Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now

(angle O) + (angle R) + (angle S) = 180

98+x+x = 180

2x+98 = 180

2x = 180-98

2x = 82

x = 82/2

x = 41

For triangle ROS, interior angle R is 41 degrees. Put another way,

angle ORS = 41 degrees

we'll use it below along with angle PRT

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

angle PRS = (angle PRT) + (angle ORS)

angle PRS = (35) + (41)

angle PRS = 76 degrees

Answer:

44 inches

32 inches

Step-by-step explanation:

Given that :

Depth of water level on Monday = 38 inches deep

Change in depth of water level on Tuesday = 6 inches

Two ways water level could have changed :

Water level could have ehave risen by 6 inches on Tuesday to give a depth of:

Initial depth + change in depth = (38 + 6) inches = 44 inches

Or

Water level could have fallen by 6 inches on Tuesday to give a depth of :

(initial depth + depth change) = (38 - 6) inches = 32 inches

Answer:

-50

Step-by-step explanation:

g(y) = 5y

Let y= -10

g(-10) = 5*-10

         = -50

Answer:

a real number is a value of a continuous quantity that can represent a distance along a line

Step-by-step explanation:

By definition, a number is divisible by 4 if the last two digits of the number are divisible by 4.

A number can be even while not being divisible by 4.

For example, the number 218 is even, but is not divisible by 4 since 18 is not divisible by 4.

Hope this helps.

頑張って!

Answer:

Step-by-step explanation:

2 and 6 are the first 2 counterexamples.  Any number that has only 1 two as its prime factors cannot be divisible by 4.

2 * 5 * 7 = 70 which is not divisible by 4.

If the number has more than one 2 as a prime factor, it is divisible by 4.

Answer:

1/4

Step-by-step explanation:

[tex](4\times \frac{3}{8} ) : (12\times \frac{1}{2} )\\\\\frac{4\times \frac{3}{8}}{12\times \frac{1}{2}}\\\\\mathrm{Multiply\:}12\times \frac{1}{2}\::\quad 6\\=\frac{4\times \frac{3}{8}}{6}\\\\\mathrm{Multiply\:}4\times \frac{3}{8}\::\quad \frac{3}{2}\\=\frac{\frac{3}{2}}{6}\\\\=\frac{3}{2\times \:6}\\\\=\frac{3}{12}\\\\=\frac{1}{4}[/tex]

Answer:

I believe it is 1/4

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

3x + 6 = -9

3x = -15

x = -5

Answer:

[tex] \boxed{ \bold { \huge{ \boxed{ \sf{x = - 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 9 = 3x + 6}[/tex]

Swap the sides of the equation

[tex] \longrightarrow{ \sf{3x + 6 = - 9}}[/tex]

Move 6 to right hand side and change its sign

[tex] \longrightarrow{ \sf{3x = - 9 - 6}}[/tex]

The negative integers are always added but possess the negative ( - ) sign

[tex] \longrightarrow{ \sf{3x = - 15}}[/tex]

Divide both sides by 3

[tex] \longrightarrow{ \sf{ \frac{3x}{3} = \frac{ - 15}{3} }}[/tex]

Calculate

[tex] \longrightarrow{ \sf{x = - 5}}[/tex]

Hope I helped!

Best regards! :D

Answer:

-11

Step-by-step explanation:

Add all the negative numbers.

Hope this helps!

Answer:

-11

Step-by-step explanation:

-3 + -1 = -4

-4 + -5 = -9

-9 + -2 = -11

§(*￣▽￣*)§

I tried and good luck xx

Answer:

Step-by-step explanation:

Terms           Coefficient

7p                    7

-6z                    -6

-80                  constant term

Answer:

x=7

Step-by-step explanation:

As seen from the higher two numbers, there is a distinct ratio between the shorter side and the longer side. To find the ratio we simply get the given two without the x and we get 8:12 which simplifies to 2:3 or 1: 1.5

This means in order to find 3x-6, we need to multiply 10 by 1.5 which means:

3x-6=15

3x=21

x=7

Hope this helped!

Answer:

J,L M,O R,H

Step-by-step explanation:

Answer:

J,L M,O R,H

Step-by-step explanation:

Answer:

12/25

Step-by-step explanation:

Find the common factor that multiplies to 24 and 25. Then divided, and keep going until you CANNOT find one.

Answer:

[tex]\frac{12}{25} \\[/tex]

Step-by-step explanation:

[tex]\frac{24}{50} \\\\\mathrm{Factor\:the\:number:\:}\:24=2\times\:12\\\\=\frac{2\times\:12}{50}\\\\\mathrm{Factor\:the\:number:\:}\:50=2\times\:25\\\\=\frac{2\times\:12}{2\times\:25}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{12}{25}[/tex]

Answer:

let y = 0 and solve for the other variable, because any point on x-axis has y-coordinate = 0

X= -5

-13.5 ÷ 2.7= -5

-5=x

Answer:

x=5

Step-by-step explanation:

Given :

Apa-bear weighs 250 lb.

Mama-bear weighs 50 pounds less than Papa-bear does.

Their 2 cubs weigh 80 pounds each.

To Find :

The total weight of the Bear family .

Solution :

Weight of mama bear = [tex]250-50\ lb=200\ lb[/tex] .

Total weight is the sum of all all weight .

[tex]W=\text{Weight of papa-bear + weight of mama-bear + weight of 2 cubs}[/tex]

[tex]W=250+200+2\times 80\\\\W=250+200+160\\\\W=610 \ lb[/tex]

Therefore , total weight of the Bear family is 610 lb .

Hence , this is the required solution .

Answer:

Addition

Step-by-step explanation:

if you just add 32 to both sides you'll get h=3+g

Answer: No

The ordered pair (2,4) is not a solution to the equation y = x-2

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

Explanation:

Any point is of the form (x,y)

So saying (2,4) means x = 2 and y = 4 pair together

Plug both of these values into the equation below

y = x-2

4 = 2-2

4 = 0

We get a false statement, so the original equation is false when (x,y) = (2,4)

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

Put another way, plugging x = 2 leads to...

y = x-2

y = 2-2

y = 0

But it should lead to y = 4 if (2,4) was a solution.

If your teacher said "(2,0) is a solution", then that would be a true statement.

The answer would be (B) or, no

Answer:

Step-by-step explanation:

66 mile per hour .

Answer:

(x - 5)^2 = 39

Step-by-step explanation:

If we open the expression

(x - 5)^2 it'd be x^2 - 10x + 25 = 39

Then we subtract 25 from both sides of the equation

x^2 - 10x + 25 = 39

x^2 - 10x + 25 - 25 = 39 - 25

x^2 - 10x = 14

A.) [tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex] is the set of numbers correctly ordered from least to greatest (ascending order).

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order.

[tex]\frac{24\pi }{5} = 15.0796\\\\\frac{63}{4} = 15.75\\\\956\sqrt{e} = 1576.177[/tex]

15.079 < 15.75 < 15.758 < 1576.177

[tex]\frac{24\pi }{5} < \frac{63}{4} < 15.758 < 956\sqrt{e}[/tex]

Learn more about ascending order here

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Answer:

3x+3+2<11

Step-by-step explanation:

3x<11+3+2

3x<16

so now you divide 3 by the co-efficient

3x/3<16/3

so now 3 council 3 then you get x

x<16/3

x<5

now x is equal to 5