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3 years ago

6k - 9 = 5k - 7 please help

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

k= 2

Step-by-step explanation:

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The graph below shows the hours students spent studying and their science test scores.

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Answer:

4.5

Step-by-step explanation:

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3 years ago

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If a triangle has an area of 108 mm2 and the base of the triangle is 18 mm, what is the height of the triangle?

elena-14-01-66 [18.8K]

Answer:

the height is 12

Step-by-step explanation:

you would take the area (108 mm2), divide that by the base (18 mm) and multiply it by 2

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3 years ago

Newberg City Cafe recently introduced a new flavor of coffee. They served 23 grande cups and 51 jumbo cups of the new coffee tod

yuradex [85]

Answer:

Grand coffee cup = 1469 gm

Jumbo coffee cup = 60 gm

Step-by-step explanation:

Let x be the grande coffee cup and y be the jumbo coffee cup.

Solution:

From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.

So, the equation is.

$23x+51y = 36846$ ---------(1)

From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.

$58x+68y=59460$ ----------(2)

Solve the equation 1 for x.

$23x = 36846-51y$

$x=\frac{36846}{23}-\frac{51}{23}y$

$x=1602-\frac{51}{23}y$ ---------(3)

Substitute $x=1602-\frac{51}{23}y$ in equation 2.

$58(1602-\frac{51}{23}y)+68y=59460$

$92916-\frac{51\times 58}{23}y+68y=59460$

$-\frac{2958}{23}y+68y=59460-92916$

$\frac{-2958+1564}{23}y=-33456$

$\frac{-1394}{23}y=-33456$

Using cross multiplication.

$y=\frac{-23\times 33456}{-1394}$

$y = 55.99$

y ≅ 60 gram

Substitute y = 60 in equation 3.

$x=1602-\frac{51}{23}\times 60$

$x=1602-\frac{3060}{23}$

$x=1602-133.04$

$x = 1469$ grams

Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm

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3 years ago

Alyssa sold half of her comic books and then bought 7 more. She now has

shusha [124]

She began with 20.

If she bought 7 more books and ended up with 17, that means she had ten beforehand. If she had half remaining, we simply double it, thus getting 20.

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3 years ago

To earn a prize, sally had to sell at least 20 candy bars for the band fundraiser. What percentage of the candy bars did she nee

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Answer:

out of how many candy bars?

Step-by-step explanation:

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3 years ago