patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels and how many are quarters?

The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]

Let

[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]

From the question

[tex]A=w\times h=1496.9\\h=w+1.8[/tex]

We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.

Eliminate the height;

[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]

substitute the value of the front area into the equation and solve for the width

[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]

the width can only take positive value. Now, to get the height

[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]

the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.

Another example can be found in the link: https://brainly.com/question/18625465

Answer: The answer is c. f(n)=4n+1

Check the picture below.

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

Work Shown:

1 week = 7 days

3 weeks = 21 days .... multiply both sides by 3

3 weeks + 4 days = 21 days + 4 days = 25 days

Answer:

y=88

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Cumulative Exam 2021

Merry Christmas <3

P.S. Have a good winter break :)

Answer:

Hola

tengo una pregunta

de que país

eres? ._.

Answer:

give the dimensions of the figure on the paper

Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3

Answer:

Step-by-step explanation:

The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.

HOPE THAT HELP YOU

Answer:

Step-by-step explanation:

If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]

Then in that case V(t) = S'(t) = 31 - 32t

V(t)=0 gives the time when the stone hits the ground.

31 - 32t = 0

32t = 31

t = 31/32 = 0.96875s

Answer:

14.3%

Step-by-step explanation:

1/7=0.142857142857

round that to the nearest tenth and that is 0.143

make it a percentage and it is 14.3%

Answer:

AOB forms must be collected every time a beneficiary fills a Medicare part b prescription

Answer:

?????????????????????????

Answer:

mmmmmmm

Step-by-step explanation:

n

Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.

The amount of mulch is given as:

[tex]Bag = 2\frac 34[/tex]

The area covered by each bag is given as:

[tex]Area = 235.5ft^2[/tex]

If she uses all bags, the total area covered by the bags is:

[tex]Total = Bag \times Area[/tex]

So, we have:

[tex]Total = 2\frac 34 \times 235.5ft^2[/tex]

Rewrite the fraction as an improper fraction

[tex]Total = \frac {11}4 \times 235.5ft^2[/tex]

This gives

[tex]Total = \frac {2590.5}4 ft^2[/tex]

[tex]Total = 647.625 ft^2[/tex]

Hence, she will be able to cover a total area of 647.625 square feet

Read more about areas at:

https://brainly.com/question/24487155

Answer:

x = 18

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Ratios are equivalent if they are multiples or divisors of each other.

5 : 2 ( multiply both sides by 6 )

= 30 : 12

or

30 : 12 ( divide both sides by 6 )

= 5 : 2

Thus 5 : 2 and 30 : 12 are equivalent ratios

Answer:

equivalent

Step-by-step explanation: 5 x 6 = 30      2 x 6 = 12

Answer:

it fits around [tex]\pi[/tex] times which is approximately 3 times

Step-by-step explanation:

[tex]\pi[/tex]

Step-by-step explanation:

Least to greatest

= 0.919, 0.99, 1.09

Answer:.919,099,1.09

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Because Its equivalent

Answer:

I think the answer is C.....

Answer:

wouldn't that be...24x²?

Answer:

[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]

Step-by-step explanation:

[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]

[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]

[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]

[tex]0=(2x+1)(x+2)[/tex]

[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]

[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

OR

[tex]\bf{1.13}[/tex]

Answer:

Step-by-step explanation:

Answer: £4,164

Step-by-step explanation: multiply 896 by 4 to get £3,584 next add 580 to 3,584 to get £4,164

Answer: 4,164

Step-by-step explanation: I am confused if the 896 is a percent or the money she owes every year, now here is the explanation.

Emily took the £580 and after the 4 years she owes 896*4 = £3,584 plus the original £580 which is £4,164

If it it without the original £580 then the answer is 896*4 = £3,584

If that is not correct then i am sorry

Answer:

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval)

Step-by-step explanation:

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation. Examples of discrete quantitative variables are number of needle punctures, number of pregnancies and number of hospitalizations.