-1.8(3-1.4h) simplify the expression

Answer:

x = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

x² = 10 ( take the square root of both sides )

x = [tex]\sqrt{10}[/tex]

Answer:

√10

Step-by-step explanation:

taking the smallest triangle;

y as the hypotenuse, x as the adjacent side, 2 as the opposite side

then: y²=x²+2²

x²=y²-2²= y²-4

taking the other triangle;

z as the hypotenuse, x as the adjacent side, 5 as the opposite side

then: z²=x²+5²

x²=z²-5² = z²-25

take both equations,

x²= y²-4

x²= z²-25

y²-4= z²-25

y²= z²-25+4 = z²-21

taking the biggest triangle (whole triangle);

(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side

then; 7²=z²+y²

z²+y²=7² =49

but y²= z²-21;

z²+y² =49

z²+ z²-21 =49

2z²-21=49

2z²=49+21= 70

z²= 70/2 = 35

take x²= z²-25

x²= 35-25 = 10

[tex]x = \sqrt{10} [/tex]

Answer:

d.

The actual price is 12.5% higher than the expected price

Step-by-step explanation:

The percent relation of the actual price and the expected price is 12.5%

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.

Price of the cast iron today = $28.35 x (166/100) = $47.06

The percent relation of the actual price and the expected price = ($52.95/$47.06) - 1 = 12.5%

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

Answer:

The x-intercept is where the graph crosses the x-axis, so in this case, the x-intercepts are (-4, 0) and (-2, 0).

The y-intercept is where the graph crosses the y-axis, so in this case, the y-intercept is (0,8).

The  line of symmetry splits the  graph in two equal halves, and it is x=-3.

Finally, because this graph opens up, the graph is positive.

Let me know if this helps!

Answer:

I believe this is the answer

V=5000(1•0.085)^x

Step-by-step explanation:

sorry if its incorrect i just wanted to help

"v = 5000 * (1-0.085)x" is the formula that is used to determine the car's worth.

An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement of this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc.

Given, You bought a car for $5,000. Each year it depreciates in value by 8.5%

In this case, we have the following formula:

v = C. (1 - r)ˣ

Where C is the original value of the car, r is the depreciation rate and x is the time in years

Equation to find the value = 5000 * (1- 0.085)ˣ

Therefore, the equation that helps in calculating the value of the car is

"v  = 5000 * (1- 0.085)ˣ".

Learn more about depreciation here:

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#SPJ2

Answer:

$1.40

Step-by-step explanation:

Answer:

The price of the book is $7.75.

Step-by-step explanation:

Let's first establish an equation.

If I buy a book costing [tex]x[/tex] dollars and a bookmark costing 1 dollars, I will have spent [tex]x + 1[/tex] dollars. So a group of 15 people doing the same will have spent [tex]15(x+1) = 15x + 15[/tex] dollars.

Analogously, the group of 3 people has spent [tex]3(x+36) = 3x + 108[/tex] dollars.

Since we know that both groups spent the same amount of money, we can set the two expressions equal to each other:

[tex]15x+15=3x+108\\12x=93\\x=7.75[/tex]

Because [tex]x[/tex] was the price of the book, which was asked for in the question, we conclude that the answer is $7.75.

Answer:

125°

Step-by-step explanation:

By exterior angle theorem:

(3x - 70)° = 60° + x°

(3x - 70)° - x°= 60°

(3x - 70 - x)° = 60°

(2x - 70)° = 60°

2x - 70 = 60

2x = 60 + 70

2x = 130

x = 130/2

x = 65

(3x - 70)° = (3*65 - 70)° = (195 - 70)° = 125°

[tex] m\angle LKM = 125\degree [/tex]

Answer:

C) 12

Step-by-step explanation:

It is 6x2

Answer:

x=$75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

-3/8÷(-1/2)

-3/8÷-1/2

-3/8÷2/-1

-3×2/-8

-6/-8

-(-6/8)

-(-3/4)

3/4

Answer:

3/4

Step-by-step explanation:

my teacher just told me that answer a few seconds ago

Answer:

58. cm^2.

Step-by-step explanation:

Area of parallelogram = 2 * area of triangle

= 2 * 29

=58.

Answer:

it is 10

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

g

Answer:

It's 7.3; 74!

Step-by-step explanation:

This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...

Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].

Here, [tex]v=<2,7>[/tex].

Then, magnitude is:

[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]

The direction is:

[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].

So, the correct option is 7.3,74°.

For more information:

https://brainly.com/question/14942332

Answer:10

Step-by-step explanation:

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

Answer:

simplified

Step-by-step explanation:

Answer: 1 -- that is, if they share no common factors other than 1

Step-by-step explanation:

Answer:

[tex]J = 370g[/tex]

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

[tex]J + S = 850g[/tex]

After 2/3 of sugar is removed we have:

[tex]J + S -\frac{2}{3}S= 530g[/tex]

Required

Determine the weight of the jar

[tex]J + S = 850g[/tex] --- (1)

[tex]J + S -\frac{2}{3}S= 530g[/tex] --- (2)

Simplify (2)

[tex]J + S -\frac{2S}{3}= 530g[/tex]

Take LCM

[tex]J + \frac{3S - 2S}{3}= 530g[/tex]

[tex]J + \frac{S}{3}= 530g[/tex]

Make S the subject in (1)

[tex]J + S = 850g[/tex]

[tex]S = 850g - J[/tex]

Substitute 850g - J for S in [tex]J + \frac{S}{3}= 530g[/tex]

[tex]J + \frac{850g - J}{3}= 530g[/tex]

Multiply through by 3

[tex]3 * J + 3*\frac{850g - J}{3}= 530g * 3[/tex]

[tex]3J + 850g - J= 1590g[/tex]

Collect Like Terms

[tex]3J - J= 1590g-850g[/tex]

[tex]2J= 740g[/tex]

Make J the subject

[tex]J = \frac{1}{2} * 740g[/tex]

[tex]J = 370g[/tex]

The jar weighs 370g

Answer:

370

Step-by-step explanation:

Answer:

The percent increase is 30%

Step-by-step explanation:

First find the difference

6.50 - 5.00 = 1.50

Divide by the original cost

1.50 / 5.00

.3

Change to percent

.3 = 30%

The percent increase is 30%

Answer:

30%

Step-by-step explanation:

5.0*30%=1.50

5.0+1.50=6.50

Answer:

1.366km

Step-by-step explanation:

The height of the mountain is [tex]3.34Km[/tex]

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

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Answer:

I believe the answer would be the option that says: "An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?"

Answer:

C. An elephant walks with a speed of 15 steps a minute. How long was the elephant walking if she walked without stopping for 480 steps?

Step-by-step explanation:

C yields the equation of [tex]15x=480[/tex], because 15 stands for steps/minute, 480 for steps, so [tex]x[/tex] must stand for minutes.

For your entertainment:

A gives [tex]x = 480 \cdot 15[/tex].

B gives [tex]x=32-15[/tex].

D gives [tex]x=480+15[/tex].

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+3−2x=24

Step 1: Simplify both sides of the equation.

5x+3−2x=24

5x+3+−2x=24

(5x+−2x)+(3)=24(Combine Like Terms)

3x+3=24

3x+3=24

Step 2: Subtract 3 from both sides.

3x+3−3=24−3

3x=21

Step 3: Divide both sides by 3.

Answer: x=7

Step-by-step explanation:

Given

5x + 3 - 2x = 24

Subtract both sides by 3

5x + 3 - 3 - 2x = 24 - 3

5x - 2x = 21

Simplify

3x = 21

Divide both sides by 3

3x / 3 = 21 / 3

x=7

Hope this helps!!

Please let me know if you have any questions

Answer:

the answer for this problem would be 24 dollars.

Answer:

I believe the answer would be 20.

Step-by-step explanation:

28/7 = 4

5*4 = 20

Pls mark brainliest <3

0Answer: The answer is 20

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

1/2 x 3/4 = 3/8

You multiply the top by the number beside it and do the same for the bottom.

Answer:

           6, 7, 8 are correct

Step-by-step explanation:

[tex]XV=\dfrac{RS+TU}2\\\\\\44=\dfrac{30+TU}2\\\\44\cdot2=30+TU\\\\88-30=TU\\\\TU=58[/tex]