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cupoosta [38]
2 years ago
7

Value of expression 6 3/4(-11.5)

Mathematics
1 answer:
Olenka [21]2 years ago
0 0

Answer:

6 * 3/4 = 9 2 = 412 = 4.5

Step-by-ste

6 * 3/4 = 6/1  3*4 = 18/4 = 9/2

2 · 2 = 9/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 4) = 2. In the next intermediate step cancelling by a common factor of 2 gives 9

2

.

In words - six multiplied by three quarters = nine halfs.

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The square shown has a perimeter of 32 units. The square is rotated about line k.
Bad White [126]

A cylinder with a circumference of about 50 units is formed.

Step-by-step explanation:

Step 1:

The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.

(4) sidelength = 32, sidelength = \frac{32}{4} = 8.

So the side length of the square is 8 units.

If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.

Step 2:

To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.

The circumference of the cylinder = 2\pi r = (2) (3.1415)(8) = 50.264.

So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.

4 0
2 years ago
Read 2 more answers
A yoga studio offers memberships that cost $60 per month for unlimited classes. The studio also accepts walk-ins, charging $6 pe
Svetach [21]

Answer:

10 classes

Step-by-step explanation:

Ok, so to solve this we have to make two different equations. we can say 60x = y, or $60 per month, and 6a = b, or $6 per walk in. Since we want the options to end up costing the same, we can say that y = b. With substitution, we get that 60x, (60 per month) = 6a (6 per drop in). The question says we have 1 month, so x = 1. This means we have 60 = 6a, and a = 10 (10 classes).

7 0
2 years ago
Read 2 more answers
Pete has 4 packs of gumballs. Each pack has 5 gumballs. If Pete gives the same number of gumballs to 6 friends, how many gumball
Illusion [34]

Answer: Each friend will get 3 gumballs.

Step-by-step explanation:

Given: Pete has 4 packs of gumballs. Each pack has 5 gumballs.

Total gumballs he has = 4 x 5 = 20

Now , if he needs to divide them into 6 friends , then each friend will get (20 ÷ 6)  gumballs

20\div 6=\dfrac{20}{6}=\dfrac{18+2}{6}=\dfrac{3\times6+2}{6}=3\dfrac26

So each friend will get 3 gumballs.

5 0
2 years ago
3) Last year Kerry’s take home pay was £15 000 She spent 40% of her take home pay on rent. She used the rest of her take home pa
gregori [183]
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
4 0
2 years ago
Candidate A is facing two opposing candidates in a mayoral election. In a recent poll of 300 residents, 98 supported candidate B
babymother [125]

Answer:

[0.4235, 0.5365]

Step-by-step explanation:

Data given and notation  

n=300 represent the random sample taken    

X=300-98-58=144 represent the people that support the candidate A in the sample

\hat p=\frac{144}{300}=0.48 estimated proportion of people that support the candidate A in the sample

\alpha=0.05 represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that support the candidate A.

Confidence interval

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.4235

0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.5365

And the 95% confidence interval would be given (0.4235;0.5365).

0.4235 \leq p \leq 0.5365

8 0
2 years ago
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