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3 years ago

What expression is equivalent to 3 (m -3) + 4

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

Answer:

You didn't add any options but here is a couple that could work.

3m - 9 + 4

3m - 5

Hope that helps and have a great day!

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What is the volume of the square pyramid? Round to the nearest tenth.

goldfiish [28.3K]

Answer:

$V=718.7\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

$V=\frac{1}{3}b^{2}h$

we have

$b=14\ cm$ ----> the length of the base of the square pyramid

$h=11\ cm$ ---> the height of the pyramid

substitute the values in the formula

$V=\frac{1}{3}(14)^{2}(11)$

$V=718.7\ cm^{3}$

4 0

3 years ago

Malcolm has 225 yards of yarn to make 100 bracelets. Suppose the total length of the yarn stayed the same, but instead of Malcol

ANTONII [103]

Given :

Length of yarn, l = 225 yards.

Number of bracelets he made, n = 1000 .

To Find :

How long will the yarn be for each bracelet.

Solution :

Let, length of yarn used in each bracelet is x.

So,

$x = \dfrac{Total\ length \ of yarn}{Number \ of \ bracelets\ made}\\\\x = \dfrac{225}{1000}\\\\x = 0.225 \ yards$

Therefore, length of yarn used in each bracelet is 0.225 yard.

7 0

3 years ago

When you translate, (x-4,y) will move ____

sesenic [268]

Answer:

The point will move to the left 4 place values.

Step-by-step explanation:

When you add or subtract from the x value, you are moving the point parallel to the x-axis, the amount you need to go. If subtracting, you move left, if adding, you move right.

When you add or subtract from the y value, you are moving the point parallel to the y-axis, the amount you need to go. If subtracting, you move down, if adding, you move up.

7 0

3 years ago

Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a

Y_Kistochka [10]

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

With the deal, Charlotte's before tax cost is $895.6
The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

f(x) = 0.85•x + 139.95

2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

brainly.com/question/11331093

#SPJ1

5 0

1 year ago

The proportion of households in a region that do some or all of their banking on the Internet is 0.31. In a random sample of 100

Alenkasestr [34]

Answer:

Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .

Step-by-step explanation:

We are given that let X be the number that do some or all of their banking on the Internet.

Also; Mean, $\mu$ = 310/1000 or 0.31 and Standard deviation, $\sigma$ = 14.63/1000 = 0.01463 .

We know that Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);

P(X <=0.13) = P( $\frac{X-\mu}{\sigma}$ <= $\frac{0.13-0.31}{0.01463}$ ) = P(Z <= -12.303) = P(Z > 12.303)

Since this value is not represented in the z table as the value is very high and z table is limited to x = 4.4172.

So, after seeing the table we can say that this probability is approximately less than 0.0005% .

4 0

3 years ago

What expression is equivalent to 3 (m -3) + 4​

What expression is equivalent to 3 (m -3) + 4