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Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

The system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

Solution:

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

He needs to buy at least 20 candles

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

He can spend no more than 80 dollars

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

Thus, we frame a inequality as:

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

Thus the system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

3 years ago

Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need

Andreas93 [3]

Answer: $\frac{3}{4}\ cup$ of quinoa, $\frac{3}{8}\ cup$ of flaxseed, $1\ cup$ of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

$\frac{\frac{1}{2} }{2}=\frac{q}{3}$

Solving for "q", you get:

$\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}$

Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

$\frac{\frac{1}{4} }{2}=\frac{f}{3}$

Solving for "f", you get:

$\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}$

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

$\frac{\frac{2}{3} }{2}=\frac{s}{3}$

Solving for "s", you get:

$\frac{1}{3}=\frac{s}{3}\\\\s=1$

6 0

3 years ago

Can someone help me answer this question asap

dsp73

The volume is 134.4 and surface area is 276.8 hope this helps ! ^_^ dnt forget to mark me brainiest

7 0

3 years ago

What is the interquartile range(IQR) of the data set represented by this box plot?

Nesterboy [21]

IQR=Q3-Q1
73-51=22
Answer:22

5 0

3 years ago

Read 2 more answers

A comic-strip writer churns out a different number of comic strips each day. For 16 days, the writer logged the number of comic

Nimfa-mama [501]

First we need to graph the given values.

there are total 16 data so x-value can be taken as 1,2,3,...,16

given values will be assigned as y-values as shown in attached table.

Now we just graph those points to see the type of skew.

From graph we see that points are very close and almost in the shape of a line. Lines seems to be moving upward when going to the right side.

Hence correct answer will be "positive skew".

4 0

3 years ago