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oee [108]
2 years ago
12

At a math contest 20problems we’re given each correct answer earned 5 points and 2 points were deducted for each incorrect answe

r Lenore answer all the problem receiving a score of 72 how many correct answer did she have
Mathematics
1 answer:
IRINA_888 [86]2 years ago
6 0

Answer:

she has 16 correct answer

Step-by-step explanation:

Mathematically ,we can translate this word problem into this system of equations :

\begin{cases}5x-2y=72&\left( 1\right)  \\ x+y=20&\left( 2\right)\end{cases}

\Longleftrightarrow \begin{cases}5x-2y=72&\left( 1\right)  \\ 2x+2y=40&2\times\left( 2\right)\end{cases}

\Longleftrightarrow \begin{cases}7x=72+40=112&\left( 1\right)+2\times(2)  \\ x+y=20&\left( 2\right)\end{cases}

\Longleftrightarrow \begin{cases}x=\frac{112}{7}=16   \\ y=20-x=20-16=4&\left( 2\right)\end{cases}

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What is the solution to the equation?
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Solution of the equation: x=6\frac{1}{2}

Step-by-step explanation:

The equation that we have to solve in this problem is:

13\frac{3}{4}+x=7\frac{1}{4}

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}

And

7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}

So the equation becomes

\frac{29}{4}+x=\frac{55}{4}

Now we multiply by 4 each term on both sides, and we get

29+4x=55

Now we subtract 29 from both sides,

4x=55-29=26

And finally, we divide both sides by 4:

x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}

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3 years ago
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Firlakuza [10]

Answer: C) Today's soup will taste the same

====================================================

Explanation:

The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.

Divide both parts of the ratio by 12 to end up with 0.75:1

  • 9/12 = 0.75
  • 12/12 = 1

The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.

--------------

Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8

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The ratio 6:8 is the same as 0.75:1

---------------

We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.

Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.

4 0
2 years ago
Simplify 0.95x-9-1/2x(36-18y)-0.25(-3x+4.8)
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Answer: 9xy−16.3x−10.2

Step-by-step explanation:

Distribute:

=0.95x+−9+9xy+−18x+(−0.25)(−3x)+(−0.25)(4.8)

=0.95x+−9+9xy+−18x+0.75x+−1.2

Combine Like Terms:

=0.95x+−9+9xy+−18x+0.75x+−1.2

=(9xy)+(0.95x+−18x+0.75x)+(−9+−1.2)

=9xy+−16.3x+−10.2

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