How many times can 4 go into 110

Grayson went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

Illusion [34]

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

Step-by-step explanation:

Let us consider the soda bottles as x and juice bottles as y.

From the given data we can derive 2 equations,

35x+15y= 410. .....(1)

x=y+6. ....(2)

Substitute equation (2) in (1),

35(y+6)+15y=410.

35y+ 210+15y=410.

50y+210=410.

50y=410-210.

50y=200.

y=4.

Substitute y value in equation (2),

x=4+6.

x=10.

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

4 0

2 years ago

Can a translation and a reflection map QRS to TUV? Explain why or why not. No, the triangles are not congruent. Yes, a translati

N76 [4]

Answer:

The answer is B

Step-by-step explanation:

just took the answer on e2020

5 0

2 years ago

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1 1/5 + 3/4 - (-3 3/5) - (-2 1/4)

babymother [125]

Step-by-step explanation:

$= 1 \frac{1}{5} + \frac{3}{4} - ( - 3 \frac{3}{5} ) - ( - 2 \frac{1}{4} )$

$= 1 \frac{1}{5} + \frac{3}{4} + 3 \frac{3}{5} + 2 \frac{1}{4}$

$= (1 + 3 + 2) + ( \frac{1}{5} + \frac{3}{4} + \frac{3}{5} + \frac{1}{4} )$

$= 6 + ( \frac{4 + 15 + 12 + 5}{20} )$

$= 6 + \frac{36}{20}$

$= 1 + 6 + \frac{16}{20}$

$= 7 + \frac{4}{5}$

$= 7 \frac{4}{5}$

8 0

2 years ago

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Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00 to connect and $0

Mademuasel [1]

Answer: The required system of equations representing the given situation is

$y=1+0.5x\\\\y=3+0.25x$

Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.

We are to write a system to represent the situation.

Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.

According to the given information,

with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.

So, the equation representing this situation is

$y=1+0.5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.

So, the equation representing this situation is

$y=3+0.25x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Thus, the required system of equations representing the given situation is

$y=1+0.5x\\\\y=3+0.25x$

3 0

2 years ago

Founder's Park is planning to add a slide. The scaled model gives the reduced measures. A slide has a width of 3.5 inches and he

OLEGan [10]

Answer: The slide will have a height of 6 feet.

Step-by-step explanation:

Given: A slide has a width of 3.5 inches and height of 3 inches.

For required slide , width = 7 feet]

To keep the slide proportional to the model,

$\dfrac{\text{height of the required slide}}{\text{height of the slide }}=\dfrac{\text{width of required slide}}{\text{width of slide}}$

$\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=\dfrac{7}{3.5}\\\\\Rightarrow\ \dfrac{\text{height of the required slide}}{3}=2\\\\\Rightarrow\ \text{height of the required slide}=3\times2 =6\ \text{feet}$

hence, the slide will have a height of 6 feet.

3 0

2 years ago

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