The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.
a. What is the constant of proportionality, or the unit rate (Leave answer as a fraction)?
b. Write an equation to represent this relationship (write rate as a fraction).
c. If point (6 1/2, y) also lies on this same line, what the value value of y, (otherwise, the y coordinate point?(Write point as a mixed fraction).

Answers

Answer 1

9514 1404 393

Answer:

  a) k = 2/5

  b) y = 2/5x

  c) y = 2 3/5

Step-by-step explanation:

a)

The proportional relation is described by the equation ...

  y = kx . . . . . . k is the constant of proportionality

The value of k can be found by dividing the equation by x:

  y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45

  k = 2/5

__

b)

As above, the equation is ...

  y = kx

  y = 2/5x

__

c)

Using 6.5 for x, we have ...

  y = (2/5)(6.5) = 2.6 = 2 3/5


Related Questions

The labor cost for a certain dish is $40 per hour. If it takes 45 minutes to make the dish, what is the labor cost for this particular dish?

Answers

30 dollars …………………………….

estimate the quotient 368/4​

Answers

Im pretty sure the quotient is 92

Help me poeaseeeeeeeeeeee

Answers

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

∛100 = 4.5

According to the U.S. Census Bureau, the total number of households in the state of Indiana is 2,478,846. The number of households with at least one resident who is 65 years of age or younger is 1,885,128. What percentage of Indiana households have at least one resident who is 65 years of age or younger? (Round to the nearest hundredth percent)

Answers

Step-by-step explanation:

100% = 2,478,846

1% = 100%/100 = 2,478,846/100 = 24,788.46

how many % are 1,885,128 ?

we need to see how often 1% fits into that amount.

1,885,128 / 24,788.46 = 76.04861294... %

so, the rounded answer is

76.05%

The required percentage of Indiana households that have at least one resident who is 65 years of age or younger is 76.05.

Given that,
According to the U.S. Census Bureau, the total number of households in the state of Indiana is 2,478,846. The number of households with at composition least one resident who is 65 years of age or younger is 1,885,128.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall of matter multiplied by 100.

Here,
Total population = 2,478,846
The total population of at least one resident who is 65 years of age or younger is 1,885,128.

Required percentage = 1,885,128 / 2,478,846 × 100%
Required percentage = 76.05%

Thus, the required percentage of Indiana households that have at least one resident who is 65 years of age or younger is 76.05.

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What is the value of x? Midsegments of triangles

Answers

Hi how u doin ?

[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]

inverse both sides

[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]

Multiply both sides by 16

[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]

[tex]x + 4 = 32[/tex]

Subtract both sides 4

[tex]x + 4 - 4 = 32 - 4[/tex]

[tex]x = 28[/tex]

There u go..... Have a great day ❤

this is just and addition to the great posting below, just supplementing.

keeping in mind that the midsegment of a triangle is half the length of the parallel base/side, Check the picture below.

Mr. Levy has a budget of $18,000. Uniforms for the marching band cost $315 each, and he needs 62 uniforms. He says, "Since 60x$300=$18,000, I can stay within the budget." Do you agree? Explain.​

Answers

Answer:

No. See explanation  below.

Step-by-step explanation:

No.

Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.

No, Mr. Levy would not be staying within budget.

Sure, 60 · $300 is $18,00, but he didn't take in the other $15 or the 2 extra uniforms.

If he were to do the math correctly, he should have done 62 · $315, which would be $19,530.

If Mr. Levy were to buy all the uniforms and not worry about it because "60 · $300 is $18,000," he would go over the budget by $1,530.

Have a luvely day!

Luisa buys a plane ticket that has an original price of $\$240$ . She uses a coupon code to get a $30\%$ discount off of the original price. She is then charged a $7\%$ tax on the discounted price.

What is the final cost for Luisa's plane ticket?

Answers

Answer:

c

Step-by-step explanation:

Answer:

179.76

Step-by-step explanation:

If there are 240 dollars then minus 30%240-30%=168.00Then, plus the 7% 168+7%= 179.76I hope this helps!

Find the missing term so that r2 + _____ + 100 forms a perfect square trinomial.
A. 10r B. 20r C. −10r D. −20r

Answers

Answer:

B    20r

Step-by-step explanation:

r² +      + 100    

r² = (r       ) (     )   signs are all positive.   100 = (10)  (10) last number.  so

(r + 10)(r + 10)

r(r+ 10) + 10(r + 10)

r² + 10r + 10r + 100

r² + 20r + 100

The current / in an electric circuit varies inversely with the resistance R. If a current of 60 amperes is produced by a resistance of 9 ohms, what current will be produced by a resistance of 6 ohms?


A resistance of 6 ohms will produce a current of
amperes

Answers

Answer:

Step-by-step explanation:

E = IR

E = 60(9)

E = 540 V

540 = I(6)

I = 540/6

I = 90 Amperes

HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.


The length of the rectangular pool is __ yd.

Answers

The length of the rectangle is 12 yd

Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?

Answers

Answer:

how old is Madison right then I can't really help u solve it with that little info

What is the z-score of x, when x = 1 and X ~ N (12,3)? Must Show Working

Answers

Answer:

=1−12/3≈−3.67

Step-by-step explanation:

The z-score of x = 1, when x ~ N(12, 3), is approximately -3.6667.

To find the z-score of x when x = 1, we'll use the formula for z-score:

z = (x - μ) / σ

Given:

x = 1

μ (mean) = 12

σ (standard deviation) = 3

Substituting these values into the formula, we get:

z = (1 - 12) / 3

Calculating the numerator:

1 - 12 = -11

Dividing the numerator by the denominator:

-11 / 3 ≈ -3.6667

Therefore, the z-score of x = 1, when x follows a normal distribution with a mean of 12 and a standard deviation of 3, is approximately -3.6667.

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What is (- 2g-6)-(g-10)

Answers

Answer:

-3g + 4

Step-by-step explanation:

Answer:

Step-by-step explanation

(-2g-6)-\left(g-10\right)

(−2g−6)−(g−10)

First round 0.69 to the nearest tenth.

Answers

Answer:

0.69 rounded to the nearest tenth is 0.7

0.7 is the answer because you round the 69 round to 70.

NO LINKS..... There are 39 people on a city bus. The ratio of adults to children is 10:3. At the next stop, 3 adults get off the bus. What is the new ratio of adults to children on the bus? A. 3:1 B. 9:2 C. 7:3 D. 12:1

Answers

Since the ratio is 10:3 we can find the total number of children and adults by finding how many times 13 (10+3) goes into 39. 39 / 13 = 3 so we can take the original 10:3 ratio and just scale it up to fit the whole group 10:3 * 3 -> 30:9:

From here it gets a little easier we know three adults of the 30 get off at the next stop bringing us to 27. So now our ratio is 27:9 we can simplify that down to 3:1 to get our final answer. Hope that helps!

Investing $10,000 in a savings account at 3% annual interest compounded monthly will result in approximately how much money after
10 years?
formula: A = P(1 + r/m)^mt

O $10, 564.68
O $13, 439.16
O $13, 493.54
O $13,000.00

Answers

Answer:

$13,493.54

Step-by-step explanation:

We are gonna use the provided formula: A = P(1 + r/m)^mt

A = Final amount (?)

P = Starting amount (10,000)

r = rate (0.03)

m = times applied (12 since it is compounded monthly)

t = years (10)

A = 10,000(1 + 0.03/12)^12·10

I would suggest using a calculator, but let's try to get a little far with this

A = 10,000(1 + 0.0025)^12·10

A = 10,000(1.0025)^120

A = 13,493.535471908333

A cuboid in which the sum of its dimensions is 9 cm., then the sum of its edge lengths - cm. (18 or 27 or 36 or 45)​

Answers

The number of sides or edges on a cuboid  are twelve, and the sum of the

edges is the sum of the twelve edges.

The sum of the edge lengths = 36 cm

Reasons:

The given parameters are;

The sum of the dimension of the cuboid = 9 cm

Required:

The value sum of the dimension of the edges the cuboid.

Solution:

The dimensions of a cuboid are; Length, l, width, w, and height, h

We get;

l + w + h = 9

The number of times that each dimension appear = 4 times

4 edges with the same length as the height, h

4 edges with the same length as the width, w

4 edges with the same length as the length, l

The sum of the edge lengths is therefore; Sum Edges = 4·l + 4·w + 4·h

Which gives;

Sum Edges = 4·l + 4·w + 4·h = 4 × (l + w + h) = 4 × 9 = 36

The sum of the edge lengths = 36 cm.

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Identify the kind of sample that is described
The student government association at a certain college chooses three classes, at random, being taught during a given semester
and samples all students in those classes to ask about a new grading policy.

Answers

Answer:

Cluster sampling

Step-by-step explanation:

Choosing groups and sampling whole group.

A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?

Answers

Answer:

185.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

Width =7.5+3.9*2 = 15.3 cm

Length = 8.5+3.9*2=16.3 cm

Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]

Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]

area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]

If a total of 1100 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box.

Answers

Answer:

Step-by-step explanation:

Let x = base side length

y = side height

volume V = x²y

y = V/x²

surface area

A = x² + 4xy

A = x² + 4x(V/x²)

A = x² + 4V/x

Solving for volume

V = (A - x²)(x/4)

V = ¼(Ax - x³)

a maximum will occur when the derivative equals zero

V' = ¼(A - 3x²)

0 = ¼(A - 3x²)

0 = A - 3x²

3x² = A

3x² = 1100

x² = (1100 / 3)

x = √(1100/3)

V = (A - x²)(x/4)

V = (1100 - √(1100/3))²(√(1100/3)/4)

V = 3,510.56606...

V = 3510.6 cm³

The box height will be half of the base side length.

y = ½√(1100/3)

Use point-slope form to write the equation of a line that passes through the point (19,-17) with slop -5/3

Answers

Answer:

  y +17 = -5/3(x -19)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

You want a line with slope -5/3 through point (19, -17). Its equation is ...

  y -(-17) = -5/3(x -19) . . . . . substitute the given values

  y +17 = -5/3(x -19) . . . . . simplify

I put the wrong picture on the last one but this is still due soon

Answers

Answer:

The point ”A“ is the point that corresponds to the last entry in the table.

Step-by-step explanation:

In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?

Answers

Answer:

310

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

is/of = % / 100

[tex]93/x = 30/100[/tex]

93 * 100=9300

9300/30 = 310

What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive

Answers

Answer:

B-NO CORRELATION.....

write the fraction as a percent 3/16

Answers

Answer:

18.75%

Step-by-step explanation:

3 / 16 = 0.1875

0.1875 x 100 = 18.75

Answer:

Now we can see that our fraction is 18.75/100,

Step-by-step explanation:

which means that 3/16 as a percentage is 18.75%.

what is the difference? complete the equation -30 - (-10) =

Answers

Hey there!

GUIDE #1

• 2 Negatives = POSITIVE

• 2 Positives = POSITIVE

• 1 Negative & 1 Positive = NEGATIVE

• 1 Positive & 1 Negative = NEGATIVE

• NEGATIVES are on the LEFT SIDE of the number line

• POSITIVES are on the RIGHT SIDE of the number line

GUIDE #2

• DIFFERENCE means SUBTRACT/SUBTRACTION

• SUM means ADDITION/ADD

• PRODUCT means MULTIPLY/MULTIPLICATION

• QUOTIENT means DIVISION/DIVIDE

-30 - (-10)

= -30 + 10

YOU START AT -30 and go up 10 spaces to the RIGHT

= -20

Therefore, your answer is: -20

Use the ALEKS calculator to write
13
24
as a decimal rounded to the nearest tenth.
Enter your search term

Answers

Answer:

0.13

0.24

Step-by-step explanation:

please mark as brainlist

Answer:

0.13

0.24

Step-by-step explanation:

A bucket holds 4 liters of water. If a ladle can scoop out 1/4 of a liter, how many scoops will it take to empty the bucket?

Answers

Answer:

3 scoops will take to empty the bucket because 1 scoop has been taken out of the bucket

Answer:

The answer is 4 scoops.

Step-by-step explanation:

The question states that a ladle can scoop 1/4 of a liter at a time from the bucket, which is taking out a quarter of water from the bucket. Taking 2/4 liters of water from the bucket would be taking half of the water away. Taking another scoop of water out of it would be 3/4, and 4/4 would be taking all of the water out. Therefore, your answer is 4.

thanks ill mark brainliest​

Answers

If I'm watching Gossip Girl, then it is Monday.

Hope this helps you!

Answer:

if i am watching Gossip   Girl then it is monday

Step-by-step explanation:

that is the common sense that everyone should know

hope this helps everyone and have a great summer!

4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s

Answers

Answer:

the answer is 28$ because since the lbs get doubled so ypu also have to double the cost

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