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3 years ago

Which statement describes the meaning of the point (6,30) on the graph ?

Mathematics

1 answer:

zmey [24]3 years ago

6 0

The answer is D. There are 30 grams of protein in 6 tablespoons of peanut butter. pls mark me brainliest if this helped :)

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The owner of a grocery store wants to mix two types of candy together to make 15 lbs that he he can sell for $5.00 per lb. He wa

Anestetic [448]

Answer:

9 pounds of chocolate and 6 pounds of sugar candies

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

8 0

3 years ago

Read 2 more answers

A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0

3 years ago

1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla. What fr

alexandr402 [8]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

We have been given that 1/2 of the children at a party like chocolate ice cream, 2/3 like vanilla ice cream, and 1/3 like chocolate and vanilla.

To find the fraction of children, who like vanilla also like chocolate, We will divide the fraction of children who like chocolate and vanilla by the fraction of children who like vanilla.

$\text{Fraction of those who like vanilla also like chocolate}=\frac{\frac{1}{3}}{\frac{2}{3}}$

Since we know that dividing a fraction by another fraction is same as multiplying the first fraction by the reciprocal of second fraction.

$\text{Fraction of those who like vanilla also like chocolate}=\frac{1}{3}\times\frac{3}{2}$

After cancelling out 3 from numerator and denominator of our fraction, we will get,

$\text{Fraction of those who like vanilla also like chocolate}=\frac{1}{2}$

Therefore, the fraction of those who like vanilla also like chocolate is $\frac{1}{2}$ .

6 0

3 years ago

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|x – 6| ≥ 1 how do i solve this?

s344n2d4d5 [400]

bearing in mind that an absolute value expression in a twin expression, since it has a ± versions, therefore,

$\bf |x-6| \ge 1\implies \begin{cases}
+(x-6) \ge 1\implies x\ge 7\\[0.8em]
-(x-6) \ge 1\implies x-6\stackrel{\stackrel{notice}{\downarrow }}{\le}-1\\
~\hspace{10em}x \le 5\\[-0.5em]
\hrulefill\\
~\hfill 7\le x\le 5~\hfill
\end{cases}$

5 0

4 years ago

4/5 in decimal form?

madreJ [45]

Answer:

0.8 or 0.80

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers