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Anna [14]
3 years ago
6

Allen packed 60 balloons equally into 10 bags. How many balloons did Allen pack in each bag?

Mathematics
2 answers:
ki77a [65]3 years ago
8 0
He put 6 baloons in each bag
zalisa [80]3 years ago
3 0
60 divided by 10 = 6 per bag
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Given f(x) = 4x + 3 and f(x) = 27, what is x?
Airida [17]

Step-by-step explanation:

f(x)=4x+3. f(x)=27

so 27=4x+3

27-3 =4x

24=4x

x=24/4

x=6

5 0
3 years ago
The length of a rectangular garden is 3yd more than twice it’s width. The perimeter of the garden is 36yd. What are the width an
Basile [38]
2L + 2W = 36
2(3+2W) + 2W = 36
6 + 4W + 2W = 36
6W + 6 = 36
        -6  = -6
6W=30
W= 30/6 = 5     L= 3 + 2W = 3 +2 (5) = 3 +10= 13

Width is 5
Length is 13


7 0
3 years ago
What’s the difference betweeen relative frequency and frequency
ss7ja [257]

Answer: Summary: 1. Frequency is the number of times a result occurs, while “relative frequency” is the number of times the result occurs divided by the number of times the experiment is repeated. ... On the other hand, relative frequency is determined by using simple division

Step-by-step explanation:

3 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
vitfil [10]

Answer:

a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p

b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p

Step-by-step explanation:

This is normal distribution problem.

A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.

For this question, mean = xbar = 6.1 inches

Standard deviation = σ = 1 inch

And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.

The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023

Let that z-score be z'

That is, P(z ≤ z') = 0.023

Using the table to obtain the value of z'

z' = - 1.995

P(z ≤ - 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z' = (x - xbar)/σ

- 1.995 = (x - 6.1)/1

x = -1.995 + 6.1 = 4.105 inches

The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023

Let that z-score be z''

That is, P(z ≥ z'') = 0.023

Using the table to obtain the value of z''

P(z ≥ z") = P(z ≤ -z")

- z'' = - 1.995

z" = 1.995

P(z ≥ 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z'' = (x - xbar)/σ

1.995 = (x - 6.1)/1

x = 1.995 + 6.1 = 8.905 inches

6 0
3 years ago
Solve by graphing <br><br> u=v and 6u=2v-24
Vadim26 [7]

Answer:

u=-6 \\ \\ v=-6

Step-by-step explanation:

In this exercise, we have two equations, namely:

u=v \ and \ 6u=2v-24

And we are asked to solve this problem by graphing. In this way, we can write a system of linear equations in two variables, but first of all, let's rewrite:

u=y \\ \\ v=x

Then:

\left\{ \begin{array}{c}y=x\\6y=2x-24\end{array}\right.

So here we have two lines.

The first one is:

\boxed{y=x}

This line passes through the origin and has a slope m=1

The second one is:

6y=2x-24 \\ \\ \therefore y=\frac{2x-24}{6} \\ \\ \therefore \boxed{y=\frac{1}{3}x-4}

This line has a slope m=\frac{1}{3} and cuts the y-axis at b=-4

By using graph tools, we get the graph shown below, then:

x=-6 \\ \\ y=-6 \\ \\ \\ Since \ u=y \ and \ v=x, then: \\ \\ u=-6 \\ \\ v=-6

8 0
3 years ago
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