Find the common ratio of the sequence -80,20,-5,1.25

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

RideAnS [48]

Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

$x+y=24...(1)$

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be $3.50x$ and cost of y 16-oz bags would be $5y$ .

At the end of one week, she collected $97.50. We can represent this information in an equation as:

$3.5x+5y=97.50...(2)$

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

$y=24-x$

Substitute this value in equation (2):

$3.5x+5(24-x)=97.50$

$3.5x+120-5x=97.50$

$-1.5x+120=97.50$

$-1.5x+120-120=97.50-120$

$-1.5x=-22.5$

$\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}$

$x=15$

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute $x=15$ in equation (1) to solve for y.

$15+y=24$

$15-15+y=24-15$

$y=9$

Therefore, the number of 16-oz boxes sold be Jillian is 9.

8 0

3 years ago

Name the property illustrated by each statement (8x+3)+12=(8x+3)+12

evablogger [386]

Answer:

Reflexive property

Step-by-step explanation:

The statement says that some number is equal to itself.

That's the reflexive property.

3 0

2 years ago

Two triangles have bases with lengths 5in and 8in.

Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by $A_{1}$ , and that of the larger triangle by $A_{2}$ .

Area of a triangle = $\frac{1}{2}$ x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

$\frac{area of the smaller triangle}{area of the larger triangle}$

Area of smaller triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 5 x h

= $\frac{5}{2}$ h

Area of the lager triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 8 x h

= 4h

So that;

Ratio = $\frac{\frac{5}{2}h }{4h}$

= $\frac{5}{8}$

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

$\frac{area of the smaller triangle}{area of the larger triangle}$ = $\frac{5}{8}$

$\frac{15}{A_{2} }$ = $\frac{5}{8}$

5 $A_{2}$ = 15 x 8

= 120

$A_{2}$ = $\frac{120}{5}$

= 24

The area of the larger triangle is 24 in².

7 0

3 years ago

Given the figure below, find the values of x and z.

charle [14.2K]

Answer:

I think z = 89 and I don’t know x

8 0

3 years ago

Plslslslsl help ASAPPPP 10 points and you win brainlist

dem82 [27]

Answer:

71

Step-by-step explanation:

Take the cost of the item and multiply by the commission percent

800 * 8.875%

Change to decimal form

800*.08875

71

3 0

3 years ago

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