The harper family budgeted 37% of their income of $53000 for taxes. How much did they budget for taxes?

Answer:

[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

Answer:

yes

Step-by-step explanation:

because the area of square is l² so John is righrt

Answer:

Area of square= ²

Area of square A= ²

Area of square B = ?

let the length of square A = x

Area of square A =x²

then the length of square B = 2x

Area of square B =2x²

x²means area of square A

so Area of square B =2 times area of squarf A

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

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

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT

Answer:

12 gallons

Step-by-step explanation:

If it takes 20 h for 5 gallons to be filled, it takes 4 h for 1 gallon to be filled. This is the ratio. You multiply 4 h by 12 to get 48 h, so you multiply 1 gallon by 12 as well. This is 12 gallons.

9514 1404 393

Answer:

  d

Step-by-step explanation:

A relation is NOT a function if the same input value maps to multiple output values.

Any relation that has an input with multiple arrows from it is not a functional relation. The diagram below is NOT a function.

Answer:

328 pies de largo

196.8 pies de ancho

Step-by-step explanation:

Ya que las medidas dadas estan en metros, podemos usar esas medidas para calcular la longitud y anchura en pies.

100 metros de largo.

60 metros de ancho.

Si sabemos que 1m es igual a 3,28 pies, simplemente tenemos que multiplicar las medidas en metros por 3.28 y nos va dar la medida del campo en pies.

100 * 3.28 = 328 pies de largo

60 * 3.28 = 196.8 pies de ancho

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

Answer: (-3,-6)

Step-by-step explanation:

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

Answer:

3/8

Step-by-step explanation:

since you can't have 1.5/4, which was how much he Josh put on each day, you have to multiply the denominator and the numerator for a more complex fraction. So 1.5/4 x 2 for both = 3/8.

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

Answer:.

Step-by-step explanation:

Answer:

Im guessing this is for a coordinate plane

Tommy was at school which is located at (4,9) how many square units or blocks does he need to walk to get home?(his home is located at 1,18)

Step-by-step explanation:

Hope this help and have a great day! <3

Answer:

Yellow

Step-by-step explanation:

Answer:

Step-by-step explanation:

-7x

Answer:

=. -10

if you are owing someone $5and another person $2when you multiple you will get 10. Since it's in the negative form you add the sign={-10}

Answer:

1/8 square unit.

Step-by-step explanation:

Remark

The piece of information that is missing is     is the middle line parallel to 2 of the sides. You have to assume it is, otherwise the question is impossible to do.

Givens

The height of the red triangle is 1/2 the top or bottom white triangle. That's because the diagonals and the horizontal line all meet in the middle.

The base of the red triangle is equal to 1/2 the length of the base.

Formula

Area red = 1/2 b * h

Solution

b = 1/2

h = 1/2

Area = 1/2 * 1/2 * 1/2

Area = 1/8

Answer:

sqrt(30-21)-sqrt(4)=1

Step-by-step explanation:

I found that sqrt(30-21)-sqrt(4)=1 since sqrt(30-21)=sqrt(9)=3 and sqrt(4)=2 so 3-2=1

Answer:

Y intercept form

Step-by-step explanation:

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Answer:

the answer should be x=2

Step-by-step explanation:

EDITTT!!!

x+3=5

x+3-3=5-3

x=5-3

x=2

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Answer:

I'm guessing you meant 3/13 of 18.

In that case, the answer would be 4.2 rounded to the nearest tenth (the actual answer is 4.15384615)

Sorry if this isn't the answer you were looking for.

Answer:

c. 5cm

Step-by-step explanation:

25=½(3+7)*h

25*2=10*h

50/10=h

5cm =h

Answer:

B) 45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

45 + 90 = 135

180 - 135 =

45

Answer:

a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund

The appropriate hypotheses for this test are:

H0: p ≥ 0.80

Ha: p < 0.80

We have,

The appropriate hypotheses for this test are:

Null Hypothesis (H0):

The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.

Alternative Hypothesis (Ha):

The true proportion of Americans who do not have an emergency fund is less than 80%.

Symbolically, the hypotheses can be represented as:

H0: p ≥ 0.80

Ha: p < 0.80

Where p is the true proportion of American adults who do not have an emergency fund.

To determine whether the data provide convincing evidence against the null hypothesis,

We can conduct a hypothesis test using a significance level (alpha) of 0.05.

If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.

Thus,

H0: p ≥ 0.80

Ha: p < 0.80 are the appropriate hypotheses for this test.

Learn more about hypotheses here:

https://brainly.com/question/28331914

#SPJ2

How to solve your problem

9−4+3

9x−4+3x9x-4+3x9x−4+3x

Simplify

1

Combine like terms

9−4+3

9x−4+3x{\color{#c92786}{9x}}-4+{\color{#c92786}{3x}}9x−4+3x

12−4

12x−4{\color{#c92786}{12x}}-412x−4

Solution

12−4

SO D

Answer:

Answer is 12x - 4

Step-by-step explanation:

The give equation (9x -4 + 2x) has two x variables, we can take them both and add them together since they are both x's. So you would take 9 + 3 and and it to get 12, then plug in the variable x. Which will make your new equation 12x - 4

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4