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n200080 [17]
2 years ago
5

Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hou

r. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system. PLS HELP
Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

so

 ----> equation A

Samantha worked 2 more hours than Eli

so

----> equation B

solve the system by substitution

substitute equation B in equation A

solve for x

Find the value of y

substitute the value of x in equation B

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8

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Sauron [17]
4 (cookies) X .5 ounces = 2 ounces
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3 years ago
HELP!
maksim [4K]

<u>Part A</u>

<u />4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3

So, the x-intercepts are \boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}

<u>Part B</u>

The vertex will be a minimum because the coefficient of x^2 is positive.

The x-coordinate of the vertex is x=-\frac{-7}{2(4)}=\frac{7}{8}

Substituting this back into the function, we get f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}

So, the coordinates of the vertex are \boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}

<u>Part C</u>

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0
1 year ago
One plane can travel 30 miles per hour faster than another. one of them goes 185 miles in the same time it takes the other to go
ycow [4]
Plane #1 speed:  x mph
Plane #2 speed:  (x+30) mph

time = time becomes

170 mi        185 mi
---------- = --------------
      x             x+30

Solving for x, the speed of the slower plane, we get

170x + 5100 = 185 x
                                           5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
                                              15

The slower plane flies at 340 mph, and the faster one at 370 mph.
6 0
3 years ago
7 liters to quarts in its simple form for branliest
DaniilM [7]

Answer:

7.39682

Step-by-step explanation:

Even though 7.39682 is its approximate answer, we need to simply it.

The simple form should be 7.4 :D

8 0
3 years ago
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a
nikitadnepr [17]

Answer:

The equation needed is

\frac{3}{4}p=423

p=564\ friends

Step-by-step explanation:

<u><em>The correct question is</em></u>

Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup. Write a multiplication equation to determine the number of people, p, who can be invited to the party

we know that

Each guest will receive 3/4 of a cup of yogurt

so

using proportion

Find out the number of people, who can be invited to the party, if Clancy has 423 cups of yogurt to share with his friends

Let

p -----> the number of people

\frac{1}{(3/4)} =\frac{p}{423}

\frac{3}{4}p=423 -----> equation needed

p=\frac{423}{(3/4)}

p=\frac{423*4}{3}

p=\frac{1,692}{3}

p=564\ friends

8 0
2 years ago
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