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Alchen [17]
3 years ago
12

5 is 42 percent of what number

Mathematics
2 answers:
Ymorist [56]3 years ago
4 0
I believe that it is 11
astra-53 [7]3 years ago
3 0
The answer that I got is 2.1
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Which option is the best. Use math to support ur answer.
snow_tiger [21]

Answer:

The option A has the cheapest price of the liter, so it is the better buy.

Step-by-step explanation:

The best buy is going to be the one with the lowest liter price.

The liter price of each option can be found by a rule of three problem:

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

For each option, in this problem, the measures are:

- The number of liters bought

- The total cost

As the number of liters bought increases, so will the total cost. It means that the relationship between the measures is direct.

Option A:

2 liters - $1.29

1 liter - x

2x = 1.29

x = \frac{1.29}{2}

x = 0.645

In option A, each liter costs $0.645

Option B

A six pack of half a liter was bought. So in all, 3 liters were bought.

3 liters - $2.99

1 liter - x

3x = 2.99

x = \frac{2.99}{3}

x = $0.997

In option B, each liter costs $0.997

Option C

A 12 pack of half a 0.35 liter was bought. So in all, 4.2 liters were bought

4.2 liters - $3.50

1 liter - x

4.2x = 3.50

x = \frac{3.5}{4.2}

x = $0.8333

In option C, each liter costs $0.8333

The option A has the cheapest price of the liter, so it is the better buy.

7 0
3 years ago
Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice,
ruslelena [56]

Answer:

.75

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Five friends bought admission tickets to the museum and a box lunch. the cost of each admission ticket was $11.75. each box lunc
Ne4ueva [31]
5 x 11.75 = $58.75 (admission ticket)
5 x 5 = $25.00 (box lunch)

$25.00 + $58.75 = $83.73 (total)
3 0
3 years ago
Read 2 more answers
Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5
tangare [24]

Answer:

y=\frac{-1}{2} x+7

Step-by-step explanation:

The slope of a perpendicular line will always be the NEGATIVE RECIPROCAL of the slope of the original line.

y=2x+5

Because this equation is organized in slope-intercept form, y=mx+b, we can identify the slope of the original line is 2. The negative reciprocal of 2 is \frac{-1}{2}. Therefore, the slope of the perpendicular line is \frac{-1}{2}. So far, our equation looks like this:

y=\frac{-1}{2}x+b

Now, we must solve for b, the y-intercept of this line. To do that, we can plug in the given point (-2,8) and solve for b:

y=\frac{-1}{2}x+b\\8=\frac{-1}{2}(-2)+b\\8=\frac{2}{2} +b\\8=1+b

Subtract both sides by 1 to isolate b

8-1=1+b-1\\7=b

Therefore, the y-intercept of this line is 7.

After plugging both the slope and the y-intercept into y=mx+b, we get:

y=\frac{-1}{2} x+7

I hope this helps!

7 0
3 years ago
2. A square-based tent has the cross-sectional
ollegr [7]

(a) Length of the height is 2.732 m

(b) Length of the base is 5.466 m

<u>Explanation:</u>

An image is attached for reference.

(a)

In ΔAOB,

sin 30^o = \frac{AO}{AB} \\\\0.5 = \frac{AO}{2} \\\\AO = 1 m

In ΔBGD,

sin 60^o = \frac{BG}{BD} \\\\0.866 = \frac{BG}{2} \\\\BG = 1.732 m

According to the figure, BG = OE = 1.732 m

Height of the tent, AE = AO + OE

                                  = 1 m + 1.732 m

                                  = 2.732 m

(b)

DF = ?

In ΔAOB,

tan 30^o = \frac{AO}{OB} \\\\0.577 = \frac{1}{OB} \\\\OB = 1.733 m\\\\\\

According to the figure, OB = GE = 1.733 m

In ΔBGD,

tan 60^o = \frac{BG}{DG} \\\\1.732 = \frac{1.732}{DG}\\ \\DG = 1m

According to the figure, DE = DG + GE

                                      DE = 1 m + 1.733 m

                                     DE = 2.733 m

Length of the base, DF = 2 X DE

                              DF = 2 X 2.733 m

                               DF = 5.466 m

8 0
3 years ago
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