All categories

3 years ago

8 1/4 - 6 1/2, what is the answer and work for this?

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:
=1 3/4Solution 1 by separating partsRewriting our equation with parts separated=8+1/4−6−1/2Solving the whole number parts8−6=2Solving the fraction parts1/4−1/2=?Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
1/4−2/4=−1/4Combining the whole and fraction parts2−1/4=1 3/4Solution by Formulas converting mixed numbers to fractions, our initial equation becomes,33/4−13/2
Applying the fractions formula for subtraction,=(33×2)−(13×4)/4×2=66−52/8=14/8Simplifying 14/8, the answer is=1 3/4

You might be interested in

A cylinder has a base with a diameter of 10.8 cm and height 15 cm into the volume of a cylinder in a cubic centimeters round you

LekaFEV [45]

Answer:

$V=1,373.44\ cm^3$

Step-by-step explanation:

The correct question is

A cylinder has a base with a diameter of 10.8 centimeters and height 15 centimeters. Enter the volume of the cylinder, in cubic centimeters. Round your answer to the nearest hundredth

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

$r=10.8/2=5.4\ cm$ ----> the radius is half the diameter

$h=15\ cm$

assume

$\pi =3.14$

substitute

$V=(3.14)(5.4)^{2} (15)=1,373.44\ cm^3$

5 0

3 years ago

A kite flying in the air has an 7-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow find the heights of th

Stels [109]

The height of the kite is 4.89 feet

Explanation

The length of the line attached to the kite=7 feet

The length of the shadow that is cast on the ground=5 feet

the system forms a right angled triangle where the taught string of the kite is the hypotenuse, the shadow is the base and the height of the kite above the ground is the height.

H=7 feet

b=5 feet

using pythagoras theorem

$h^2+b^2=H^2\\h^2=H^2-b^2\\h^2=7^2-5^2\\=49-25\\=24\\h=\sqrt{24\\} =2\sqrt{6} \\=4.89 feet$

The kite is 4.89 feet above the ground

3 0

3 years ago

PLZ HELP MEE!!! NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!

Mama L [17]

Answer:

$90 in^{2}$

Step-by-step explanation:

Base is an equilateral triangle

slant hight= 12 in

side of base= 5 in

so, perimeter of base = 3(5)=15 in

lateral area = 1/2 pl =1/2 (15)(12) in

=90 in²

--------

hope it helps..

have a great day!!

3 0

3 years ago

Read 2 more answers

Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry

vladimir2022 [97]

Answer:

vince i think

6 0

3 years ago

A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

$t = 3.054$

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

3 years ago