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3 years ago

leah bought 3/4 yard of felt. she used 5/6 of it to make a banner. how much of the felt did she use for the banner?

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Leah used $\frac{5}{8}$ yards of the felt bought for making banner.

Step-by-step explanation:

Given,

Felt bought by Leah = $\frac{3}{4}$ yard

Felt used for banner = $\frac{5}{6}$ of the felt bought

Felt used = $\frac{5}{6}*\frac{3}{4}$

Felt used = $\frac{5}{8}$ yards

Leah used $\frac{5}{8}$ yards of the felt bought for making banner.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

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48 girls, 41 boys, and 5 teachers sat in the gym. Write the ratio of girls to boys in three ways.

Anika [276]

Answer:

Step-by-step explanation:

The answer is D because the question is asking for girls to boys. So anything that has 5 in it is wrong because it isn't asking for teachers, which eliminates A. So since it is asking girls to boys the number order has to be 48 then 41 because it is asking for girls first then to boys. So that makes B wrong. When it comes to the fraction part of the ratio the first number it is asking for (which is girls) always goes on top. So that eliminates C which leaves only answer to be D.

7 0

3 years ago

A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th

AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is $0.551< p < 0.610$

Step-by-step explanation:

From the question we are told that

The sample size is n =1057

The number that believe there was a conspiracy is k = 614

Generally the sample proportion is mathematically represented as

$\^ p = \frac{614}{1057 }$

=> $\^ p = 0.5809$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }$

=> $E = 0.02975$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.5809 - 0.02975< p < 0.5809 + 0.02975$

=> $0.551< p < 0.610$

4 0

3 years ago

X+y+z =4

cestrela7 [59]

Akar akar persamaan kuadrat 2x² - 3x -1 = 0 adalah x1 dan x2. Persamaan kuadrat baru yang akar akarnya satu lebih kecil dari dua kali akar akar persamaan kuadrat di atas adalah ........A.x² - x - 4 = 0B.x² + 5x - 4 = 0C.x² - x + 4 = 0D.x² + x + 4 = 0E.x² - 5x - 4 = 0Jawaban : A
Penyelesaian :
Akar-akar persamaan lama : x1 dan x2

Akar-akar persamaan baru : xA dan xB
 xA = 2x1 - 1
 xB = 2x2 - 1
 xA + xB = (2x1 - 1) + (2x2 - 1)
 = 2 (x1 + x2) - 2
 = 2 () - 2
 = 3 - 2
 xA + xB = 1

 xA . xB = (2x1 - 1) (2x2 - 1)
 = 4 x1.x2 - 2(x1 + x2) + 1
 = 4.(-) - 2() + 1
 = -2 - 3 + 1
 xA . xB = -4

Jadi persamaan kuadrat baru : x² - (xA + xB)x + xA . xB = 0
 x² - x - 4 = 0

4 0

3 years ago

Click once to choose an answer. Click again to change your answer. Choose all that locate the ordered pair in the correct quadra

forsale [732]

Answer:

$Quadrant\ IV = (5, -3)$

$Quadrant\ I = (9, 11)$

$Quadrant\ II = (-1, 3)$

$Quadrant\ III = (-2, -4)$

Step-by-step explanation:

Given

$Quadrant\ IV = (5, -3)$

$Quadrant\ II = (-4, -8)$

$Quadrant\ I = (9, 11)$

$Quadrant\ II = (-1, 3)$

$Quadrant\ III = (-2, -4)$

Required

Determine which coordinate fall in the right quadrant

First, we split the each quadrant into x and y axis

In the first:

x and y is +

In the second:

x is - and y is +

In the third

x and y are -

In the fourth

x is + and y is -

Comparing the given coordinates to their respective quadrants, base on the conditions stated above

$Quadrant\ IV = (5, -3)$ is correct

$Quadrant\ I = (9, 11)$ is correct

$Quadrant\ II = (-1, 3)$ is correct

$Quadrant\ III = (-2, -4)$ is correct

$Quadrant\ II = (-4, -8)$ is incorrect

3 0

3 years ago

What is the area of the polygon given below

NARA [144]

Answer:

B. 271 square units

Step-by-step explanation:

The area is the sum of 3 rectangles areas

step 1 12 * 19 = 228

step 2 3 * 3 = 9

step 3 2 * 17 = 34

Now, we add all the answers we got to get the area.

= 228 + 34 + 9 = 271 square units

6 0

3 years ago

Read 2 more answers