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inysia [295]
3 years ago
14

A team is preparing a car wash and they need enough soap to wash 45 cars it takes 2/3 cup of soap to wash each car how many cups

of soap does the team need
Mathematics
1 answer:
viva [34]3 years ago
5 0

Answer: 30 cups of soap

Step-by-step explanation:

Each car would take 2/3 cups of soap to be washed and there are 45 cars to be washed.

The number of cups needed is therefore:

= Cups required for one car * number of cars

= 2/3 * 45 cars

= 90/3

= 30 cups of soap

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What is the solution set of the equation using the quadratic formula?
oee [108]

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a , b and c

we get

a=1,b=6,c=10

now, we can plug these values into quadratic formula

x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}

x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

we can simplify it

x=-3+i

x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


4 0
3 years ago
What can be concluded about the spread of the histogram? A histogram titled Maria's Monthly Jogging has miles run on the x-axis
Rainbow [258]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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Step-by-step explanation:

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3 years ago
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Use the given figure to find the length of x.
lubasha [3.4K]

Answer:

x = 18

Step-by-step explanation:

This problem can be solved using concept of Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is a^2 + b^2 = h^2

_________________________________________

Given in the problem

a = 24

b = x

h = x+12

applying Pythagoras theorem

24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2  + 24x + 144\\=>576 =  x^2  + 24x + 144 -  x^2\\=> 576 = 24x + 144 \\=>  576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18

for (x+12)^2 we have used formula (a+b)^2 = a^2 + 2ab + b^2

Thus, value of x is 18.

8 0
4 years ago
A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a
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ok so. A restaurant chef ordered product to make a stew. He ordered 4 pounds of beef at 9.25 per pound, 6 pounds of potatoes at $6.75 a pound, and 5 pounds of carrots at $9.80 per pound. If the stew serves 30 people and he charges $12.50 per serving, how much profit will he make?

6 0
4 years ago
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