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padilas [110]
3 years ago
12

50 Points! Question In Image Show ALL Work

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ First identify and assign the variables:

q = number of quarters

d = number of dimes

This is what we know:

q + d = 22

A quarter is 25 cents and a dime is 10 cents

You can write this as:

0.25q + 0.1d = 3.40

Rearrange the first equation for d

d = 22 - q

Substitute this value into the other equation:

0.25q + 0.1(22 - q) = 3.40

Simplify:

0.25q + 2.2 - 0.1q = 3.40

0.15q + 2.2 = 3.4

Subtract 2.2 from both sides:

0.15q = 1.2

Divide both sides by 0.15:

q = 8

Substitute into the first equation:

8 + d = 22

d = 14

Therefore, there are 8 quarters and 14 dimes.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0
3 years ago
BRAINLIST AND 100 POINTS!!! PLEASE HELP!!
luda_lava [24]

Answer:

a.) d,c and a,b

Step-by-step explanation:

hope it helped

8 0
3 years ago
How to solve 6/12=2/c
Vlad1618 [11]
All you have to do here is some simplifying. 

6/12 = what
6 divided by 12 = 1/2

1/2 = 2/4

There! We have our missing value

6/12 = 2/4

Answer: c = 4
4 0
3 years ago
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Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

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6 0
3 years ago
Please solve, thank you (and show steps):<br><br>Solve for x:<br><br>5x + 22 = 27​
IrinaVladis [17]
Given the equation, 5x + 22 = 27:

The goal is to isolate the variable. Hence, a few mathematical operations are necessary to solve for the value of x.

Start by subtracting 22 both sides:
5x + 22 - 22 = 27 - 22
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5x = 5


Next, divide both sides by 5 to isolate and solve for the value of x:

5x/5 = 5/5

x = 1

In order to verify whether x = 1 satisfies the give equation, we must substitute its value into the given equation:

5x + 22 = 27

5(1) + 22 = 27
5 + 22 = 27
27 = 27 (True statement. This implies that x = 1 is the correct value that satisfies the equation).

Therefore, the correct answer is x = 1.
6 0
2 years ago
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