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Dafna1 [17]
3 years ago
10

The sum of two numbers is 114. The second number is 24 less than twice the first number. Find the numbers.

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

46 and 68

Step-by-step explanation:

so let the first number=x

the second number= 2x-24 since 24 less than twice the first number

then

2x-24+x=114

simplify

3x=114+24

3x=138

x=46

2x-24= 68

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Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7
BigorU [14]

Answer:

y = -\frac14x + 8.5

Step-by-step explanation:

Hello!

A linear function is written in the form of y = mx + b, where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • \frac{9 - 6}{-2 - 6}
  • \frac{2}{-8}
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The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • y = mx + b
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<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: y = -\frac14x + 8.5

6 0
2 years ago
The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 1 2 3 4 . A rot
MaRussiya [10]
I found the corresponding image. Pls. see attachment.

<span>The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).

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8 0
3 years ago
Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants
sladkih [1.3K]

Answer:

Using GCF (The Greatest Common Factor) the answer = 9

Step-by-step explanation:

The values 36, 45

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Both 45 and 36 have factors of 1, 2, 3, and 9

1 is less than 2, so 1 is out

2 is less than 3, so 3 is out

9 is greater than 3, so 3 is out

9 is the greatest!

Therefore, the greatest common factor is 9.

The greatest number of cups Nadya can make is 9 cups.

Hope this helps!

Have a good evening! :)

7 0
4 years ago
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kramer
4 1/2 x 3/8 = 1.69 miles
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3 years ago
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kolbaska11 [484]

Step-by-step explanation:

2/3 gallons is empty

1/3 gallons is filled

so

3*1/3= 1

1 gallon filled

6 0
3 years ago
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