Solve for a, y=-1/2ax, m=5/2

Answers

Answer 1

a = –5

Solution:

Given data: [tex]y=-\frac{1}{2}ax[/tex], [tex]m=\frac{5}{2}[/tex]

The standard equation of a line is y = mx + c.

In the line [tex]y=-\frac{1}{2}ax[/tex] can be written as [tex]y=-\frac{1}{2}ax+0[/tex].

The slope of the line [tex]y=-\frac{1}{2}ax+0[/tex] is [tex]m=\frac{-1}{2}a[/tex].

Given [tex]m=\frac{5}{2}[/tex].

Both are slopes of the line. So,we can equate the both slopes.

⇒ [tex]\frac{-1}{2}a=\frac{5}{2}[/tex]

⇒ [tex]a=\frac{5}{2}\times\frac{-2}{1}[/tex]

⇒ a = –5

Hence the value of a is –5.


Related Questions

-60=
−60=
\,\,-24+12r
−24+12r

Answers

Answer:

The answer is r = -3.

Step-by-step explanation:

Given:

-60=-24+12r.

Now, to solve it:

[tex]-60=-24+12r[/tex]

Adding both sides by 24 we get:

[tex]-36=12r[/tex]

Dividing both sides by 12 we get:

[tex]-3=r[/tex]

[tex]r=-3.[/tex]

Therefore, the answer is r = -3.

consider the function f(x)=-2x+5 what is f(5) enter your answer in the box

Answers

The value of f(5) is [tex]f(5)=-5[/tex]

Step-by-step explanation:

The function is [tex]f(x)=-2x+5[/tex]

To find [tex]f(5)[/tex] substitute [tex]x=5[/tex] in [tex]f(x)=-2x+5[/tex]

[tex]f(5)=-2(5)+5[/tex]

Multiplying the terms, we get,

[tex]f(5)=-10+5[/tex]

Adding the terms, we get,

[tex]f(5)=-5[/tex]

Thus, the value of [tex]f(5)[/tex] is [tex]f(5)=-5[/tex]

2|x-7|=x-8 pls help

Answers

I believe the answer to this question is: No solution.

64=[(96 divided by 8) times 5]-42

Answers

Answer:

that statement is not true

Step-by-step explanation:

64=[(96÷8)5}-42

64={(12)5} - 42

64= (60)-42

64=18

but that with subtraction. if you multiply 60 by negative 42 you get -2520 which is still not true

A rectangular prism with a avolume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 units does it take to fill the prism?

Answers

Answer:

48 cubes

Step-by-step explanation:

The complete question is

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?

step 1

Find the volume of the cube

The volume of the cube is equal to

[tex]V=b^{3}[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{2}\ units[/tex]

substitute

[tex]V=(\frac{1}{2})^{3}[/tex]

[tex]V=\frac{1}{8}\ units^{3}[/tex]

step 2

To find out how many half-unit cubes are needed to fill the prism, divide the volume of the prism by the volume of the cube

[tex]6:\frac{1}{8}=48\ cubes[/tex]

In parallel lines cut by a transversal if m angle RNP =(8x+63) degree and m angle NRS = 5x degree
1. find angle measure of m angle RNP
2. Find angle measure of m angle NRS

Answers

Answer:

Part 1) [tex]m\angle RNP=135^o[/tex]

Part 2) [tex]m\angle NRS=45^o[/tex]

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the value of x

we know that

[tex]m\angle RNP+m\angle NRS=180^o[/tex] ----> by supplementary angles (consecutive interior angles)

substitute the given values

[tex](8x+63)^o+5x^o=180^o[/tex]

Solve for x

[tex]8x+5x=180-63\\13x=117\\x=9[/tex]

step 2

Find the measure of angle RNP

substitute the value of x

[tex]m\angle RNP=(8(9)+63)=135^o[/tex]

step 5

Find the measure of angle NRS

substitute the value of x

[tex]m\angle NRS=5(9)=45^o[/tex]

What is the relation symbol that makes this true? 8/12 _____ 3/4

Answers

Answer:

8/12 < 3/4

8/12 is less than 3/4.

Final answer:

The relation symbol that makes the comparison 8/12 _____ 3/4 true is '<', meaning 8/12 is less than 3/4.

Explanation:

The student is dealing with a mathematical comparison of fractions. They are asked to find a relation symbol to correctly fill the blank between 8/12 and 3/4. To determine the correct symbol, we need to first compare these fractions correctly.

Applying simplification, we can reduce 8/12 to 2/3. Now, we have a comparison between 2/3 and 3/4. In order to compare them, we can convert these fractions to similar denominators or we could convert them to decimals. Using that method we have 2/3 which equals to approximately 0.667, and 3/4 which equals to 0.75.

Since 0.75 > 0.667, the relation symbol that makes 8/12 relates to 3/4 is '<' (less than).

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Count twenty of fifty equal parts

Answers

Answer:

I think 20/50 is the answer you're looking.

Answer:

20/50

Hope this helps :)

Step-by-step explanation:

what is the slope of y=-1/3x+4the slope of y=-1/3x+4

Answers

Answer:

-1/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Alexa is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Alexa will earn $20 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Alexa earned a total of $340 in royalties on 8 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Alexa's songs were played. Define the variables that you use to write the system

Answers

Answer:

20c +110m = 340; c + m = 8

Step-by-step explanation:

Let c and m represent the number of commercials and movies playing Alexa's songs, respectively.

  20c +110m = 340 . . . . . total royalties earned

  c + m = 8 . . . . . . . . . . . . total number of plays

___

Alexa's songs were played in 6 commercials and 2 movies.

Answer:

she died

Step-by-step explanation:

What is the slope y- intercept of 3x+6y=-15

Answers

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

Y-Intercept: [tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

~Hope this helps .^.~

what is 33 1/3% less than $60

Answers

Answer:

$40

Step-by-step explanation:

33 1/3% is equal to 1/3. 1/3 less than something is 2/3 of it. 2/3 of $60 is $40.

To find what is 33 1/3% less than $60, you multiply $60 by 2/3 (since removing 33 1/3% is equivalent to keeping 2/3 of the value). This calculation results in $40.

To find what is 33 1/3% less than $60, first, understand that 33 1/3% is equivalent to one third. Taking one third away from a number is the same as multiplying that number by 2/3 (since 1 - 1/3 = 2/3). Therefore, you would calculate $60 multiplied by 2/3 to get the answer.

$60 × 2/3 = $40.

So, 33 1/3% less than $60 is $40. This calculation shows how percentages can be easily translated into fractions for calculations that involve finding a percentage of a given number, or what a number is after it has been increased or decreased by a certain percentage.

8(t - u) + 3(3t - u)

Answers

Answer:

17t-11u

Step-by-step explanation:

8(t-u)+3(3t-u)

8t-8u+9t-3u

8t+9t-8u-3u

17t-11u

What value of n makes the equation true? -2n + 1.8 =3.2

Answers

Answer:

-0.7

Step-by-step explanation:

-2n+1.8=3.2

-2n=3.2-1.8

-2n=1.4

n=1.4/-2

n=-0.7

According toThe Humane Society in 2009 33% of US households owned at least one cat and 56% of households who did own cats owned at least 2. the US Census Bureau tells us that there were 116 million households in 2009 how many households owned at least two cats report your answer in millions around the two places

Answers

Answer:

21.4368 ≅ 21.44 million households owned at least two cats.

Step-by-step explanation:

Total number of households were 116 million.

Hence, 100% = 116 million.

33% of the total US households owned at least one cat.

Hence, the number of household having at least one cat is [tex]\frac{33\times116}{100} = \frac{3828}{100} = 38.28[/tex] million.

It is also given that 56% of that 38.28 million households owned at least 2 cats.

Hence, the number of households having 2 cats is [tex]\frac{56\times38.28}{100} = \frac{2143.68}{100} = 21.4368[/tex] million.

Final answer:

To find the number of households that owned at least two cats in 2009, we need to calculate 56% of the total number of households that owned cats. We can use the information provided by The Humane Society and the US Census Bureau to calculate this number.

Explanation:

To find the number of households that owned at least two cats in 2009, we need to calculate 56% of the total number of households that owned cats. First, we find the number of households that owned at least one cat by calculating 33% of the total number of households. Then, we multiply this number by 56% to find the percentage of households that owned at least two cats. Finally, we multiply this percentage by the total number of households to get the final answer.

Number of households that owned at least one cat = 33% of 116 millionNumber of households that owned at least two cats = 56% of the number of households that owned at least one catFinal answer = Number of households that owned at least two cats in millions

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Annabel sent 26 text messages to her brother during the test 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?
О 4 text messages each day
O
2 text messages each day
O 3 text messages each day
О
1 text message each day
Next
Post

Answers

Answer:

Step-by-step explanation:

26 messages during 13 days...

26/13 = 2 texts per day <===

What is the slope of the line represented by the equation ? 3x + 4y = 8

Answers

Answer:

-3/4

Step-by-step explanation:

3x + 4y = 8....find the slope

in y = mx + b form, the slope can be found in the m position...so lets put this equation in y = mx + b form

3x + 4y = 8.....subtract 3x from both sides

4y = 8 - 3x.....now divide both sides by 4

y = 2 - 3/4x....rearrange

y = -3/4x + 2

y = mx + b

y = -3/4x + 2

as u can see, the number in the m position (the slope) = -3/4

Final answer:

The slope of the line represented by the equation 3x + 4y = 8 is -3/4.

Explanation:

The slope of a line can be determined from its equation in slope-intercept form, which is of the form y = mx + b. The coefficient of x, m, represents the slope of the line. In the given equation 3x + 4y = 8, we can rearrange it to the slope-intercept form by isolating y: 4y = -3x + 8, y = (-3/4)x + 2. Therefore, the slope of the line represented by this equation is -3/4.

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-9x-5=-95
Please help!

Answers

-9x - 5 = -95

-9x = -95 + 5

-9x = -90

x = -90/-9

x = 10

Please mark as the Brainliest!

The number of visitors to a sporting goods website is 1,940 today. This is 400% of the number of visitors on the first day the site was online. How many visitors did the website have on the first day?

Answers

Answer:

The sporting goods website had 485 visitors on the first day

Step-by-step explanation:

Let's answer the question correctly, this way:

Number of visitors to a sporting goods website today = 1,940 and 400% of the visitors on the first online day

How many visitors did the website have on the first day?

Let's use the Rule of Three Simple, this way:

x = Number of visitors to a sporting goods website on the first online day

Number of visitors     Percentage

1,940                               400%

  x                                    100%

400 * x = 1,940 * 100

x = 194,000/400

x = 1,940/4 = 485

The sporting goods website had 485 visitors on the first day

What is the radical form of the expression a5/2

Answers

Answer:

[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Step-by-step explanation:

Given:

Given expression is.

[tex]= a^{\frac{5}{2}}[/tex]

We need to write the given expression in radical form.

Solution:

Rewrite the expression as.

[tex]= a^{\frac{5}{2}}[/tex]

Now we extract power as [tex](a^{m})^{\frac{1}{n} }=a^{\frac{m}{n}}[/tex]

[tex]=(a^{5})^{\frac{1}{2} }[/tex]

Now we write the above expression in radical form and simplify.

[tex]=\sqrt[2]{(a^{5})}[/tex]

[tex]=\sqrt[2]{(a\times a)\times (a\times a)\times a}[/tex]

[tex]=\sqrt[2]{a^{2}\times a^{2}\times a }[/tex]

[tex]= a\times a\times \sqrt[2]{a}[/tex]

[tex]= a^{2}\times \sqrt[2]{a}[/tex]

[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

Therefore, the radical form of the given expression [tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]

The Wildcats scored 63 points at their basketball game. Sarah scored 22 of these points. What percent of the team's points did Sarah score?

Answers

Answer:

34.9 %

Step-by-step explanation:

(22 ÷ 63) ×100 = 34.9206...

=34.9 %

Im BIg Brain SoryStep-by-step explanation:

Someone Please help me

Answers

Answer:

y= -2x+4

Step-by-step explanation:

To find the slope find 2 points and use "rise/run", that will get -2

To find the y-intercept look at where the line crosses the y-axis. that will be 4

so -2x+4

1.21 repeating written as a fraction

Answers

40/33 is the fraction

Answer:

  1 7/33

Step-by-step explanation:

To find the fraction when the repeating digits start at the decimal point, put the repeating digits over the same number of 9s. Here, your mixed number is ...

  [tex]1.\overline{21}=1\frac{21}{99}=1\frac{7}{33}[/tex]

Referring to the figure, the circle shown is drawn on grids. Find
A ÷ r and A ÷ r2 (Worth 45 points! Please help!!)

Answers

Answers:

a) [tex]\frac{A}{r}=2.5 \pi=7.85[/tex]

b) [tex]\frac{A}{r^{2}}=\pi=3.14[/tex]

Step-by-step explanation:

Assuming each grid has dimensions of 1x1, the radius of this circle is:

[tex]r=2.5[/tex]

On the other hand, the area of a circle is:

[tex]A=\pi r^{2}[/tex]

With this information we will solve this exercise:

a) [tex]\frac{A}{r}[/tex]

[tex]\frac{\pi r^{2}}{r}=\pi r[/tex]

[tex]\pi r=(3.14)(2.5)=7.85[/tex]

b) [tex]\frac{A}{r^{2}}[/tex]

[tex]\frac{\pi r^{2}}{r^{2}}=\pi=3.14[/tex]

Ken drinks 2/7 of a carton of milk each day.How much milk dose he drink in 3 days?

Answers

Answer:

6/7 of a carton

Step-by-step explanation:

3 x 2= 6

6/7

1. Calculate the sum of the infinite series S. = 16+4+1+....

Answers

Answer:

Step-by-step explanation:

Using the initial value a = 16 and the common ratio r = 1/4, we can use the equation for the sum of an infinite geometric series as |r| < 1:

S = a / (1-r)

  = 16 / (1-(1/4))

  = 16 / (3/4)

  = 64/3

The sum of the series is 64/3.

What is a geometric sequence?

A geometric sequence is one where each phrase is discovered by multiplying the term before it by the same number.

The given series is 16 + 4 + 1 +...

Note that each term of the series is 1/4 of the preceding term, therefore, the series is a geometric series with a common ratio of r = 1/4.

The sum of an infinite geometric series is:

s= a/(1-r)

s= 16/(1-1/4)

s = 64/3

Hence, the sum of the series is 64/3.

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Solve for d.
d•3/10=1/4

Answers

Answer:

5/6

Step-by-step explanation:

Multiply both sides of equation by 10/3.

d = 1/4 × 10/3

d = 10/12 = 5/6

Step-by-step explanation:

If you divide by a fraction you can write it as multiplying with the opposite of that fraction

d=1/4 / 3/10

d=1/4 × 10/3=10/12=5/6

can someone please explain this to me and give the answer??

Answers

Answer:

y=-2

Step-by-step explanation:

this is a function

the input x = 2 so look for the line x=2

then look at the blue line, the function, and see at what point the line x=2 intersects the function. then find the value of the y coordinate of that point.

help me please 10 points

Answers

Answer:

17z + 9 = 4z + 5

13z + 9 = 5 (you have to take the 4x to the opposite of the equal sign to subtract it)

13z = 5 - 9

13z = -4

z = -4/13

Exactly one solution

x minus 2 equals 5 (x-2=5)

Answers

x=7 that was a easy one
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