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3 years ago

10

Kathy uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is

white paint. How many pints of white paint did she use to paint her bedroom walls?

2 answers:

garik1379 [7]3 years ago

6 0

Answer:Kathy uses 1.72 pint of white paint

Step-by-step explanation:

Total amount of paint ( Blue and white paint)= 8.6 pints

Amount of blue paint=4/5 x 8.6 = 6.88 Pints

amount of white paint = Total amount of paint - amount of blue paint

= 8.6 pints - 6.88 pints

=1.72 pint of white paint

Firdavs [7]3 years ago

4 0

Answer:274707

Step-by-step explanation:

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Find a polynomial of the form

Sloan [31]

Answer:

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

Step-by-step explanation:

We are given that

$f(x)=ax^3+bx^2+cx+d$

f(0)=-3,f(1)=2,f(3)=5 and f(4)=0

We have to find the polynomial

Substitute the value x=0 then ,we get

f(0)=d=-3

Substitute x=1 then we get

$a+b+c-3=2$

$a+b+c=2+3=5$

$a+b+c=5$ (equation I)

Substitute x=3 then we get

$a(3)^3+b(3)^2+c(3)-3=5$

$27a+9b+3c=5+3=8$

$27a+9b+3c=8$ (Equation II)

Substitute x=4 then we get

$a(4)^3+b(4)^2+c(4)-3=0$

$64a+16b+4c=3$ (Equation III)

Equation I multiply by 3 then subtract from equation II

$24a+6b=-7$ (Equation IV)

Equation II multiply by 4 and equation III multiply by 3 and subtract equation II from III

$84a+12b=-23$ (Equation V)

Equation IV multiply by 2 and then subtract from equation V

$36a=-9$

$a=-\frac{9}{36}$

$a=-\frac{1}{4}$

Substitute the value of a in equation IV then we get

$24(-\frac{1}{4})+6b=-7$

$-6+6b=-7$

$6b=-7+6=-1$

$b=-\frac{1}{6}$

Substitute the value of b in equation I then we get

$-\frac{1}{4}-\frac{1}{6}+ c=5$

$-\frac{5}{12}+c=5$

$c=5+\frac{5}{12}=\frac{65}{12}$

Substitute the values then we get

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

5 0

4 years ago

Can you conclude from the figure that ABC is similar to DEF? Explain.

pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0

3 years ago

When beans are cooked, the amount of water required varies directly with the cups of beans. If 2 cups of beans require 4.5 cups

marishachu [46]

Answer:

11.25 cups of water is needed to cook 5 cups of Beans.

Step-by-step explanation:

Given:

The amount of water required varies directly with the cups of beans.

2 cups of beans require 4.5 cups of water.

we need to find how many cups of water are needed to prepare 5 cups of beans.

4.5 cups of water =2 cups of bean

Number of cups of water = 5 cups of bean.

Now Using Unitary method for solving above we get,

Number of cups of water required = $\frac{5\times4.5}{2}=\frac{22.5}{2}=11.25 \ cups$

Hence 11.25 cups of water is required to prepare 5 cups of beans.

6 0

4 years ago

WILL MARK AS BRAINLIEST IF CORRECT!!!

gizmo_the_mogwai [7]

Answer:

C

Step-by-step explanation:

If I'm not mistaken, she wants to ride atleast 85 miles per week. If you add up all of the values from going to and from the school, you would get 62.5 miles. So for it to add up to 85 miles, she would have to atleast do 9 trips around the park.

These numbers I believe do not matter however, all you need to do is put in C for greater than or equal to 85.

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3 years ago

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