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2 years ago

What fractions are the common denominators for 1/2 and 7/8

Mathematics

1 answer:

Orlov [11]2 years ago

3 0

Answer:

lowest:8 more:16 32 64

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=3%20%5Cdiv%20153%20%3D%20" id="TexFormula1" title="3 \div 153 = " alt="3 \div 153 = " align="a

beks73 [17]

If you're looking for the simplified version of the fraction, you have to factor both numerator and denominator.

The numerator is actually already a prime number, so we're good

The denominator factors as $153 = 3^2\cdot 17$

So, a 3 appears in both numerator and denominator. We can simplify it:

$\cfrac{3}{153} = \cfrac{3}{3^2\cdot 17} = \cfrac{1}{3\cdot 17} = \cfrac{1}{51}$

If you want to compute the approximated value of this fraction, simply plug these values into some calculator to get

$\cfrac{1}{51} \approx 0.0196078431372\ldots$

5 0

3 years ago

Read 2 more answers

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x^2?

aliya0001 [1]

Answer:

The discriminant of the quadratic equation is -7.

Step-by-step explanation:

We are given the following quadratic equation in the question:

$x^2+x+2 = 0$

Comparing to general quadratic equation:

$ax^2+bx+c = 0\\a = 1\\b = 1\\c = 2$

We have to find the discriminant of the quadratic equation.

Formula:

$d = b^2-4ac$

Putting values, we get,

$d = (1)^2 - 4(1)(2) = 1 - 8 = -7$

Thus, the discriminant of the quadratic equation is -7.

5 0

3 years ago

Cloud nine is having a sale on all shirts and pants in the store.Olivia purchased 8 shirts 4 pairs of pants for $176.Raheem purc

mihalych1998 [28]

Question is Incomplete; Complete question is given below;

Cloud Nine is having a sale on all shirts and pants in the store. Olivia purchased 8 shirts and 4 pairs of pants for $176. Raheem purchased 3 shirts and 4 pairs of pants for $116. Let x represent the price of a shirt and y represent the price of a pair of pants. Write a system of equations, and use the elimination method to find a reasonable price for a pair of pants.

Answer:

The system of equations are $\left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.$

The reasonable price for pair of pants is $20.

Step-by-step explanation:

Let the price of shirt be 'x'.

Let price of pair of pants be 'y'.

Given:

Olivia purchased 8 shirts 4 pairs of pants for $176

So we can say that;

8 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 176.

framing in equation form we get;

$8x+4y=176 \ \ \ \ equation \ 1$

Also Given:

Raheem purchased 3 shirts and 4 pairs of pants for 116.

So we can say that;

3 multiplied by the price of shirt plus 4 multiplied by the price of pair of pants is equal to 116.

framing in equation form we get;

$3x+4y=116 \ \ \ \ equation \ 2$

Hence the system of equation are $\left \{ {{8x+4y=176} \atop {3x+4y=116}} \right.$

Now by using elimination method we will subtract equation 2 from equation 1 we get;

$(8x+4y)-(3x+4y)=176-116\\\\8x+4y-3x-4y = 60\\\\5x =60\\\\x=\frac{60}{5}=\$12$

Now Substituting the value of x in equation 1 we get;

$8x+4y=176\\\\8\times 12+4y =176\\\\96+4y=176\\\\4y =176-96\\\\4y = 80\\\\y= \frac{80}{4} =\$ 20$

Hence The reasonable price for pair of pants is $20.

4 0

3 years ago

HELP!! PLEASE!! NEED DONE ASAP I WILL GIVE 100 POINTS AND MORE IF YOU CAN GET ALL 3 QUESTIONS DONE!! THANK YOU!! I WILL ALSO MAR

VARVARA [1.3K]

Answer:

I answered the questions but that formatting is very confusing and discourages anyone for trying to answer.

The last question is confusing. If I got it wrong, tell me. I will try to answer in the comment section then.

Step-by-step explanation:

Kayson is looking at two buildings, building A and building B, at an angle of elevation of 73°. Building A is 30 feet away, and building B is 35 feet away. Which building is taller and by approximately how many feet?

$\text{tan}\theta=\frac{h_{A}}{30} \Rightarrow h_{A}=\text{tan}73\º \cdot 30 \Rightarrow h_{A}\approx 98.12 \text{ feet}$

$\text{tan}\theta=\frac{h_{B}}{35} \Rightarrow h_{B}=\text{tan}73\º \cdot 35 \Rightarrow h_{B}\approx 114.47 \text{ feet}$

$\text{Difference} \approx 16.35$

Building B is around 16.35 feet taller than building A.

A Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

$\text{sin}(y)=\frac{a}{6}$

$\text{tan}(y)=\frac{a}{b}$

a is the opposite side; 6 is the hypotenuse; b is the adjacent side.

Therefore,

$\text{cos}(y)=\frac{b}{6}$

If sin f° = eight ninths and the measure of segment YW is 24 units, what is the measure of segment YX? triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees.

This seems a bit confusing. The angles don't match. We have $90\º+62\º +21\º \approx 173\º$

$\text{sin}(f)=0.888...$

$f \approx 62\º$

YX is the hypotenuse of the right triangle.

$\text{cos}(21\º)=\frac{24}{YX}$

$YX \approx 25.7$

Considering $f \approx 69\º$

$\text{sin}(69\º)\approx\frac{24}{YX}$

$YX \approx 25.7$

4 0

3 years ago

Read 2 more answers

PLS HELP WILL BRAINLIEST 1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work

djverab [1.8K]

1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work

slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3

2. Write the equation of the line in point-slope form.
Show your work

point-slope form. 
y - y1 = m(x - x1)

so equation
y - 2 = 2/3(x + 3)

3. Write the equation of the line in slope-intercept form.
Show your work.

slope = 2/3, passing thru (-3, 2)

y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4

equation
y = 2/3(x) + 4

8 0

3 years ago