Austin has 125% more books than his younger sister. If his sister has 24 books, how many books does he have? Write your proportion below...and solve *

Answer:

Step-by-step explanation:

Answer:

16: y=4x+14 17: 12 18: when you simplify it all individually you get x=3 for both equations. 19: $6.69

Step-by-step explanation:

16:y-2=4(x+3) distribute 4 and get y-2=4x-12. Add 2 to both sides to get y-4x+14.

17:x+2y=4 and 3x+6y=? divide 3x+6y by three and you get x+2y=4. This means you can just multiply the 4 by 3 to get the answer.

18:3x-5=4 and 3x-3=6. For the first one add 5 to both sides to get 3x=9 then divide both side by 3 to get x=3. For the second one add 3 to both sides to get 3x=9. Again divide both sides by three to get x=3.

19: $18-$4.62=13.38 since he wants 2 models divide 13.38 by 2 to get 6.69.

Answer:

He will need 99  feet of fence.

Step-by-step explanation:

Jim's back yard has the following dimensions;

Length=120 feet

Width=75 feet

The gardens dimensions can be calculated using the expression;

Length of garden=Length of back yard/scale factor

where;

Length of back yard=120 feet

Scale factor=2/5

replacing;

Length of garden=120/2/5

Length of garden=12 feet

Width of garden=Width of back yard/scale factor

where;

Width of back yard=75 feet

Scale factor=2/5

replacing;

Width of garden=75/2/5

Width of garden=37.5 feet

The gardens dimension are;

Garden width=37.5 feet

Garden length=12 feet

To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;

Perimeter=2(length+width)

Perimeter=2(12+37.5)=99 feet

He will need 99 feet of fence

Answer:

he will need 99 feet to fence

Step-by-step explanation:

Jim's back yard has the following dimensions;

Length=120 feet

Width=75 feet

The gardens dimensions can be calculated using the expression;

Length of garden=Length of back yard/scale factor

where;

Length of back yard=120 feet

Scale factor=2/5

replacing;

Length of garden=120/2/5

Length of garden=12 feet

Width of garden=Width of back yard/scale factor

where;

Width of back yard=75 feet

Scale factor=2/5

replacing;

Width of garden=75/2/5

Width of garden=37.5 feet

The gardens dimension are;

Garden width=37.5 feet

Garden length=12 feet

To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;

Perimeter=2(length+width)

Perimeter=2(12+37.5)=99 feet

He will need 99 feet of fence

Answer:

Simply place the f(x) polynomial over g(x) to get the f(x) / g(x) result. Since polynomials have an infinite domain, the only gap you will get comes from the denominator equaling zero. That happens when:

X - 1 = 0

   +1    +1

   X   = 1

So the domain is: D: X≠ 1

Answer:

Least to greatest: -40, -11, -1, 18, 38, 55, 64

Answer:

The measure of ∠SVT is 79°

Step-by-step explanation:

In the given figure

∵ US ∩ RT at V

∴ ∠SVT and ∠UVR are vertically opposite angles

∵ The vertically opposite angles are equal in measures

∴ m∠SVT = m∠UVR

∵ m∠SVT = (5y + 9)°

∵ m∠UVR = (8y - 33)°

→ Equate them

∴ 8y - 33 = 5y + 9

→ Add 33 to both sides

∴ 8y - 33 + 33 = 5y + 9 + 33

∴ 8y = 5y + 42

→ Subtract 5y from both sides

∴ 8y - 5y = 5y - 5y + 42

∴ 3y = 42

→ Divide both sides by 3

∵ [tex]\frac{3y}{3}[/tex] = [tex]\frac{42}{3}[/tex]

∴ y = 14

→ Substitute the value of y in the measure of ∠SVT

∵ m∠SVT = 5(14) + 9

∴ m∠SVT = 70 + 9

∴ m∠SVT = 79°

∴ The measure of ∠SVT is 79°

Answer:

21

Step-by-step explanation:

Just reverse the problem.

y - 12 = 9

y = 12 + 9

y = 21

Answer:

Rotation

Step-by-step explanation:

Answer:

rotation

Step-by-step explanation:

Answer:

i think its 116

Step-by-step explanation:

Answer:AB= -4/3

CD=6/2

EF=Zero

GH=4/6

Step-by-step explanation:

ok  rise/run

Answer:

Yes because you will still be able to get a Number that will verify.

Step-by-step explanation:

Answer:

You can't predict if they will be less than or greater than either factors because it isn't given if those decimals are positive or negative numbers, and it doesn't state if we should round them.

Step-by-step explanation:

Answer:

hatdog jdudhsisbsn

Step-by-step explanation:

jsysvysbd

Place them horizontally or vertically

Answer:

C.3

Step-by-step explanation!

because there is a total of 3 numbers after both 1.91 and 2.3.

Hope this helps you!

Answer:

not (2,-5)

Step-by-step explanation:

Answer: Choice A)  [tex]-\infty < x < \infty[/tex]

We can plug in any x value we want. The domain is the set of all real numbers. We don't have to worry about applying the square root of a negative value since negative values are allowed in cube roots.

For instance, [tex]\sqrt[3]{-64} = \sqrt[3]{(-4)^3} = -4[/tex]

Answer:

B 100-5n

Step-by-step explanation:

Always glad to help.

Answer:

(a)

Step-by-step explanation:

since a parallelogram has atleast 2 equal sides, we take the 12cm and double it. That equals 24cm. So, 38cm take away 24cm equals 14cm. And since a parallelogram has 4 sides we half 14cm, which gives us 7cm.

Answer:

-z+4=-4

Step-by-step explanation:

First, you want to move the positive four to the other side to isolate the variable.

-z=-8

You cannot have a negative variable, so divide both sides by 1.

-z/1=-8/1

Your answer would be:

Z=8

Hope this helps!!

Answer:

$17 * 12 hrs = 204

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of minutes Elena read = x + 0.625

Answer:

always use desmos- graphibg calculator

Step-by-step explanation:

domain all real numbers

range all real numbers

Answer:

3 1/2

Step-by-step explanation:

.5 equals one half or 1/2

3.5 equals 3 1/2

Answer:

3 ½

Step-by-step explanation:

when you convert your decimal to a mixed number it is the easiest to find a common value of it. if you take ½ and turn it into a decimal it would be .5 or 50/100. its all about finding the lowest common denominator

Answer:

Ratio of girls to total number of students: 4:12

Step-by-step explanation:

There are four girls, and eight boys.

In all there are 12 students.

So the ratio of girls to total number of students taking swimming lessons is 4:12

Answer:

Yes, it is a ratio of miles to hours. (30 miles per 1 hour) 30:1

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation: It's a ratio because you can frame it like "For every hour you _____ 30 miles."

Answer:

9

Step-by-step explanation: