The stop sign shown is a regular octagon with a perimeter of about 99.2 inches and a height of 30 inches.

Ethan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and e

Anna35 [415]

9 bottles of soda and 10 juice bottles are purchased

Solution:

Given that,

Sugar contained by each soda bottle = 45 grams

Sugar contained by each juice bottle = 35 grams

Let,

x be the number of soda bottles

y be the number of juice bottles

Given that,

Ethan purchased a total of 19 bottles of juice

Therefore, we get,

x + y = 19 ---------- eqn 1

Ethan purchased a total of 19 bottles of juice and soda which collectively contain 755 grams of sugar

Therefore, we frame a equation as:

$45 \times x + 35 \times y = 755$

45x + 35y = 755 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y --------- eqn 3

Substitute eqn 3 in eqn 2

45(19 - y) + 35y = 755

855 - 45y + 35y = 755

10y = 100

y = 10

Substitute y = 10 in eqn 3

x = 19 - 10

x = 9

Thus 9 bottles of soda and 10 juice bottles are purchased

7 0

2 years ago

78+24-11+56+23-117+1

kakasveta [241]

78+24+11+56+23+117+1 =310

4 0

2 years ago

The math counts club had a party at school.there were 20 cookies and 40 slices of pizza to be shared equally.each student had th

Stels [109]

there would be 4 students

5 cookies for each

10 slices of pizza for each

hope this helps

3 0

2 years ago

Read 2 more answers

Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighb

Greeley [361]

Answer:

15d + 50 = 125

15d = 75

5 days

Step-by-step explanation:

Her total must equal $125.

She has $50 so far.

50 + _____ = 125

In the blank, we will put what she will earn by walking the dogs.

Each day she will earn $15. In d number of days, she will earn 15d.

The equation is:

50 + 15d = 125

15d + 50 = 125

We can subtract 50 from both sides to get

15d = 75

Now we solve the equation to find the number of days.

We divide both sides by 15.

15d/15 = 75/15

d = 5

She will need to walk the dogs for 5 days.

5 0

2 years ago

A sunflower grows 8 feet in 92 days. Assuming that it grows at a constant

Yuki888 [10]

Answer:

69 days

Step-by-step explanation:

Given that sunflower grows at constant rate.

Let the rate of growth be x feet per day. It means sum flower grows x feet every day.

in 1 day plant grows x feet,

so in 92 days plant will grow 92*x feet

In 92 days the growth of plant will be = rate of growth *92 = 92*x = 92x feet

But given that A sunflower grows 8 feet in 92 days

so, 92x will be same as 8 feet.

lets put it in equation

92x =8 feet

x = 8/92 = 2/23

Thus, rate of growth of sunflower plant is 2/23 feet per days.

it means it grows 2/23 feet every day.

Let number of days taken to grow 6 feet be y days

in 1 day plant grows 2/23 feet feet,

so in y days plant will grow 2/23*y feet

In y days the growth of plant will be = rate of growth *y= (2/23)*y = 2y/23 feet

But 2y/23 should be equal to 6 feet

2y/23 = 6

Multiplying both side by 23

2y/23 * = 6 *23

=> 2y =138

dividing both side by 2

2y/2 =138/2

=> y = 69

Thus, it will take 69 days for sunflower to grow 6 feet.

4 0

2 years ago