Rewrite the expression without parentheses. 15m − ( 3 + 5m )

Given:

[tex]h:k=2:5,x:y=3:4,2h+x:k+2y=1:2[/tex]

To find:

[tex]h-x:k-y[/tex]

Solution:

We have, [tex]h:k=2:5[/tex] and [tex]x:y=3:4[/tex].

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

[tex]2h+x:k+2y=1:2[/tex]

It can be written as

[tex]\dfrac{2h+x}{k+2y}=\dfrac{1}{2}[/tex]

[tex]\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}[/tex]

[tex]\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}[/tex]

[tex]2(4a+3b)=1(5a+8b)[/tex]

On further simplification, we get

[tex]8a+6b=5a+8b[/tex]

[tex]8a-5a=8b-6b[/tex]

[tex]3a=2b[/tex]

[tex]a=\dfrac{2b}{3}[/tex]

Now,

[tex]h-x:k-y=\dfrac{h-x}{k-y}[/tex]

[tex]h-x:k-y=\dfrac{2-3b}{5a-4b}[/tex]

[tex]h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}[/tex]

[tex]h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}[/tex]

On further simplification, we get

[tex]h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}[/tex]

[tex]h-x:k-y=\dfrac{-5b}{-2b}[/tex]

[tex]h-x:k-y=\dfrac{5}{2}[/tex]

[tex]h-x:k-y=5:2[/tex]

Therefore, the ratio [tex]h-x:k-y[/tex] is [tex]5:2[/tex].

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When you have a lot of similar problems to do, it can be worthwhile to let a spreadsheet or calculator do the repetitive calculations. The formula is given in your problem statement. All you have to do is put the numbers in and multiply. For total value, you add the interest to the principal.

6 months = 1/2 year

Answer:

3.472x = 4

Step-by-step explanation:

srry if im wrong, but I tried and this question is hard

Answer:

n=9

Step-by-step explanation:

Answer:

n=9

Step-by-step explanation:

8n+5=77

8n=72

n=9

Answer:

$96.55

Step-by-step explanation:

The computation of the money he would require is shown below:

Since lee wants to buy both pairs of shoes and the two pairs of socks

So the amount of money he needed is

= $37.07 + $42.48 + 2 × $8.50

= $37.07 +  $42.48 + $17

= $96.55

answer is D because statement mentions about evelyn applying brake to stop the car.

brainliest

Answer:

15

Step-by-step explanation:

15 x 15 = 225

Answer:

12 1/4

Step-by-step explanation:

Answer:

m is 3 since it's the slope and b is -2 since its the y-intercept

Step-by-step explanation:

the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.

Answer:  m = 3 , b = -2

Step-by-step explanation:

y = 3x - 2, we found out m and b by using the form y = mx + b, where m is the number in front of x.

Therefore we found out that m is 3, b is -2.

Answer:

i wanna be christen

Step-by-step explanation:

howww

Answer:

-1/6 or in decimal -0.166667

Step-by-step explanation:

just simplified

Answer:

the answer is x=6

Step-by-step explanation:

hoped I helped

Answer:

both are (0,0)

Step-by-step explanation:

Hello There!

When its asking for the vertical intercept its asking " at what points does the equation cross the vertical axis( y axis) so its pretty much asking for the y intercept¨

In the graph shown below the y intercept is 0 so the coordinates of the vertical intercept would be (0,0)

When its asking for the horizontal intercept its asking " at what points does the equation cross the horizontal axis ( x axis ) so its pretty much asking for the  x intercept."

In the graph shown below the x intercept is 0 so the coordinates of the horizontal intercept would be (0,0)

Answer:

x < -3

Step-by-step explanation:

Answer:

21.0.26

22. 0.9

23.0.30

Answer: 19,531,250

.......

Answer:

a:95

b: a=75

Step-by-step explanation:

For a:

The angles are supplementary meaning they add to 180º. So you can set up an equation: x + 85 = 180

Subtract 85 from both sides:

x = 95º

For b:

Since it's an isosceles triangle (2 congruent sides), the base angles are equal to each other. So a = 75º

Answer:

2

Step-by-step explanation:

Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6

Step-by-step explanation:

The Triangle Inequality Theorem states that any two sides of the triangle must add up to be greater than the third side.

Here we have a triangle that has side lengths of 10 in, 11 in, and ? in.

This last side length must add up to 10 in to be greater than 11 in.

The least possible whole number that would fit this description would be 2 in.

The missing side length should be labeled as 2 inches.

We are given a triangle with side lengths of 6 in and 8 in. We are asked to choose all answers that apply from this list:

We can tell that 2 in cannot be an answer since 6 in + 2 in is not greater than 8 in.

We also know that 14 in and 15.5 in cannot be part of the answer choices since 8 in + 6 in = 14 in, and this is not greater than 14 in or 15.5 in.

The rest of the answer choices will form a triangle if we follow the Triangle Inequality Theorem. You can test it out yourself to check.

Therefore, the answer choices are:

We are given these possible side lengths:

Let's test out which combinations will create a triangle.

The straw lengths 2, 4, and 5 will form a triangle.

The straw lengths 2, 5, and 6 will form a triangle.

The straw lengths 2, 4, and 6 will NOT form a triangle.

The straw lengths 4, 5, and 6 will form a triangle.

The straw lengths 5, 6, and 10 will form a triangle.

We have no more straw lengths that will form a triangle, since adding up each remaining pair of given straw lengths do not output a value greater than another number.

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Answer:

−45.54

Step-by-step explanation:

Just took the test

The residual for the shopper will be equal to -45.54. Hence, option C is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data provided in the question,

The given equation is,

y = 275.3 + 90.7 x

Here, x is the number of trips and y is the total monthly expense.

Then,

Shopper monthly cost = $520

Number of visits by the shopper in a month = 3.2

So, the residual for the shopper will be,

$520 = 275.3 + 90.7 (3.2)

$520 = 275.3 + 290.24

= -45.54

To know more about equation:

https://brainly.com/question/29657983

#SPJ2

Answer:

Yes.

Step-by-step explanation:

Yes.

To have a function, you cannot use the same value for an x-coordinate more than once. Here, each value of an x-coordinate is used only once, so it is a function.

Answer:

Yes.

Step-by-step explanation:

It is a many-to-one function. Both 3 and 1 map to 8.

2 maps to to 3 and -1 maps to 4 which is one-to-one.

There are no one to many mappings  so it is a function.

Answer:

88

Step-by-step explanation:

the median is 88

the mean is 87.5

¿ SiNo no nosenkkknkkkkkk

Answer:

x = 4

Step-by-step explanation:

35/60 = (5x+1+35)/96

3,360 = 60(5x+36)

56 = 5x+36

20 = 5x

x = 4