in one baseball season, peter hit twice the difference of the number of home runs alice hit and 6. altogether, they hit 18 home runs. hohw many home runs did each player hit that season?

Answers

Answer 1

Answer: Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)

Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8

Therefore, Peter hit 8 home runs and Alice hit 10 home runs.

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At a local bodega, the cost of a bottle of juice at the corner store is$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
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Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y

Answers

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y

Desiree made 100 cookies this week. She baked 8 more than four times the total she made last week. EQUATION DO NOT SOLVE

Answers

Answer:

I think it's 4x +8 =100

Step-by-step explanation:

x in this equation is the number of cookies baked last week.

Sounds about right..

— 3х - 6 +(-1)
Helpp
Can anybody help me?

Answers

Answer:

$- 3x - 5$

it should be this answer bcause it has been simplified

A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles?

Answers

Answer:

The amount of wax that is needed to create one set of candles is:

27π cubic inches.

Step-by-step explanation:

The radius(r) of the smallest candle=0.5 inches.

Height(h) of smallest candle= 3 inches.

Hence, Volume of smallest candle $V_1$ is:

$V_1=\pi r^2h$

Now the medium candle is one which is obtained by taking a scale factor of 2.

Hence, radius of medium candle=2r

Height of medium candle=2h

Hence, Volume of medium candle $V_2$ is:

$V_2=\pi* (2r)^2* (2h)\n\nV_2=8\pi r^2h$

Similarly the largest candle is one which is obtained by taking a scale factor of 3.

Hence, radius of largest candle=3r

Height of largest candle=3h

Hence, Volume of largest candle $V_3$ is:

$V_3=\pi* (3r)^2* (3h)\n\nV_3=27\pi r^2h$

The amount of wax required to create one set of candle is equal to total volume of all the three candles.

$\text{Amount\ of\ wax}=V_1+V_2+V_3\n\n\n\text{Amount\ of\ wax}=\pi r^2h+8 \pi r^2h+27\pi r^2 h\n\n\n\text{Amount\ of\ wax}=36\pi r^2h$

Now on putting the value of r and h in the expression we get:

$\text{Amount\ of\ wax}=36* \pi* (0.5)^2* 3\n\n\n\text{Amount\ of\ wax}=27\pi\ \text{cubic\ inches}$

Hence, the answer is:

27π cubic inches.

it is 27 π cubic inches

The number of cell phones sold by a store on consecutive days of a month is shown below:25, 13, 16, 34, 13, 31, 16, 34, 19, 22, 13, 28, 19, 16, 22, 16, 13, 16, 13, 16

Sam created the following incorrect dot plot to represent the data:

What should Sam do to make the dot plot correct?

Put another dot on 13
Put another dot on 16
Delete one dot on 22
Delete one dot on 34

Answers

B. Put another dot on 16

There are 6 16s in the sequence, but only five dots on the graph.

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK