The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes
to the collection. Is the ratio of quarters to dimes still 5 : 3

-1 / 4 = -0.25

1 / 3 = .3

-0.25 / .3 = -0.833333333.

Answer:

-3/4

Step-by-step explanation:

Answer:

its 5.08

Step-by-step explanation:

Answer:

5417.412, 401.103

Step-by-step explanation:

In the first part we are given the following mathematical operation:

[tex]5 \times 10^{3} + 4 \times 10^{2} + 1 \times 10^{1} + 7 \times 10^{0} + 4 \times \frac{1}{10^{1} } + 1 \times \frac{1}{10^{2} } + 2 \times \frac{1}{10^{3} }[/tex]

= 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002

= 5417.412 (Answer)

In the second part we are given the following mathematical operation:

[tex]4 \times 10^{2} + 1 \times 1\frac{1}{10^{1} } + 3 \times \frac{1}{10^{3} }[/tex]

= 400 + 1.1 + 0.003

= 401.103 (Answer)

Answer:

105

Tropical fish:75%

60 clownfish included in shipment

Step 1 :Multiply 75%×60

Step 2:Simplify 60×75÷100=6×75/10=450/10=45

Step 3:Add 60+45=105

Answer:

x=0.64

y=0.94

Step-by-step explanation:

x price of one donut

y price of one large coffee

To determine x and y you have to solve this system:

5x+2y=5.08

2x+3y=4.10.

:)

Answer:

x = 5/4

Step-by-step explanation:

We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.

[tex]\frac{2}{3}x + \frac{1}{6}  = 1[/tex]

[tex]\frac{4}{6}x + \frac{1}{6}  = 1[/tex]    Give the fractions common denominators

[tex]\frac{4}{6}x + \frac{1}{6}  - \frac{1}{6} = 1 - \frac{1}{6}[/tex]  Subtract 1/6 from both sides

[tex]\frac{4}{6}x  = 1 - \frac{1}{6}[/tex]   1/6 is cancelled out on the left side

[tex]\frac{4}{6}x  = \frac{5}{6}[/tex]    Simplify the right side

[tex]\frac{\frac{4}{6}x}{4/6}  = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6

[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex]   Dividing is like multiplying by the flipped second fraction on both sides

[tex]\frac{24}{24}x  = \frac{30}{24} [/tex]   Simplify. 24/24 = 1 and reduce 30/24

[tex]x  = \frac{5}{4} [/tex]  Final answer

Answer:

3, -19 is the answer

Step-by-step explanation:

solved it

Answer:

Its D

Step-by-step explanation:

look above

Answer:0.13

Step-by-step explanation:i think

The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Alexa brought 32 apples for $4.16.

Then the cost of each apple rate will be given as,

Rate = $4.16 / 32

Rate = $0.13 for each apple

The cost of each apple is given by the rate. Then the cost of each apple will be $0.13 per apple.

More about the rate link is given below.

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Answer: 76.36753237

Step-by-step explanation:

If you have trouble, you can always use Desmos Scientific calculator and get your answer straight away.

3*10^7 routers will be needed for 9 billion devices

Step-by-step explanation:

Given

[tex]Total Devices = 9\ billion =  9*10^9\ devices\\[/tex]

1 router supports 300 devices

So we have to divide the total number of devices by the devices supported by 1 router to find the number of routers

So,

[tex]Total\ number\ of\ routers= \frac{Devices}{Devices\ with\ one router}\\=\frac{9*10^9}{300}\\=\frac{900*10^7}{300}\\=3*10^7\ routers[/tex]

Hence,

3*10^7 routers will be needed for 9 billion devices

Keywords: Routers, devices

Learn more about routers at:

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144/168

reduce the fraction by dividing by 4

144/4= 36

168/4= 42

36/42 - reduce by dividing by 6

36/6= 6

42/6= 7

answer:

6/7

Answer:

Step-by-step explanation:

5 1/4 or 525

Answer:

The percentage of questions correctly answered by the student was 92.5%

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of questions incorrectly answered by the student = 3

Number of questions on the test = 40

2. What percentage did the student answer correctly?

Number of questions correctly answered by the student = Number of questions on the test - Number of questions incorrectly answered by the student

Replacing with the real values:

Number of questions correctly answered by the student = 40 - 3

Number of questions correctly answered by the student = 37

Now, let's calculate the percentage:

Percentage = Number of questions correctly answered by the student /Number of questions on the test * 100

Percentage = 37 /40 * 100

Percentage = 0.925 * 100

Percentage = 92.5%

Answer:

The required expression is [tex]\frac{y}{4}-3[/tex].

The value of the expression when y=20 is 2.

Step-by-step explanation:

Consider the provided phase.

3 less than the quotient of a number y and 4

The quotient of a number y and 4 can be written as: [tex]\frac{y}{4}[/tex]

Now 3 less than the quotient of a number y and 4  can be written as:

[tex]\frac{y}{4}-3[/tex]

Hence, the required expression is [tex]\frac{y}{4}-3[/tex].

Now evaluate when y=20.

Substitute y=20 in above expression.

[tex]\frac{20}{4}-3[/tex]

[tex]5-3[/tex]

[tex]2[/tex]

Hence, the value of the expression when y=20 is 2.

Step-by-step explanation:

sin(x−y) / (cos x sin y)

Use angle sum/difference formula:

(sin x cos y − sin y cos x) / (cos x sin y)

Divide:

(sin x cos y) / (cos x sin y) − 1

Rearrange:

(sin x / cos x) (cos y / sin y) − 1

Simplify:

tan x cot y − 1

Answer:

y= -8x-12

Step-by-step explanation:

y-4= -8(x-1)

         -8x+8

  +4=        +4

y= -8x+12

Answer:

The correct answer on E2020 Is y=-8x(1,4)+y+8x+(1,4)

Hope this helps you!

(p.s:Please mark me as brainlyest!)

Step-by-step explanation:

I just took the test

Answer: 4:1

Step-by-step explanation:

Red paint = 60 ounces

Blue paint = 15 ounces

Ratio = 60/15 = 4/1 = 4:1 to the lowest term.

Answer:

[tex]m\angle B=34\°[/tex]

Step-by-step explanation:

Given measures of 2 angles of a triangle :

m∠A = 69°

m∠C = 79°

Find m∠B.

We know that sum of angles of a triangle =180°

So, we have

[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]

Substituting the vales of m∠A = 69° and m∠C = 79°

[tex]69\°+m\angle B+77\°=180\°[/tex]

Adding like terms.

[tex]m\angle B+146\°=180\°[/tex]

Subtracting both sides by 146°.

[tex]m\angle B+146\°-146\°=180\°-146\°[/tex]

∴ [tex]m\angle B=34\°[/tex] (Answer)

Answer:

A

Step-by-step explanation:

To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).

Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).

So that angle is 122.

The inside triangle angle (what we want) is adjacent to 122, so we can write:

Angle + 122 = 180  [straight angle/straight line is 180 degrees]

Solving for that angle, we have:

Angle = 180 - 122 = 58

Now, looking at the triangle, Side C is "opposite" of 58°  and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).

Which trig ratio relates "opposite" and "hypotenuse"??

Yes, it is SIN. Thus we can write:

[tex]Sin(58)=\frac{Opposite}{Hypotenuse}=\frac{C}{20}[/tex]

We can now solve for C:

[tex]Sin(58)=\frac{C}{20}\\C=20*Sin(58)\\C=16.96[/tex]

Correct answer is A

The surface area to be covered with stucco is 25.91 square metres.

To find the surface area to be covered with stucco, we need to calculate the area of each wall and subtract the areas of the car door, side door, and window. The garage has four walls, so we will calculate the area of each wall and add them together. The area of each wall is the product of its length and height. Once we have the total area of the walls, we can subtract the areas of the car door, side door, and window to determine the final surface area to be covered with stucco.

Wall 1: 5 m * 2 m = 10 m²

Wall 2: 5 m * 2 m = 10 m²

Wall 3: 5 m * 2 m = 10 m²

Wall 4: 5 m * 2 m = 10 m²

Total area of walls: 10 m² + 10 m² + 10 m² + 10 m² = 40 m²

Area of car door: 5 m * 2.3 m = 11.5 m²

Area of side door: 2.1 m * 0.9 m = 1.89 m²

Area of window: 1 m * 0.7 m = 0.7 m²

Final surface area to be covered with stucco: 40 m² - 11.5 m² - 1.89 m² - 0.7 m² = <<25.91=25.91>>25.91 m² (rounded to the nearest square metre).

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Answer:

$309

Step-by-step explanation:

Use the formula for simple interest: [tex]A = P(1+rt)[/tex]

A represents total amount, unknown in this case.

P represents principal, or starting amount, 300 in this case.

r represents the interest rate in decimal form, 3% in this case, or 0.03.

t represents time, usually in years, 1 in this case.

[tex]A = P(1+rt)[/tex]

[tex]A = 300(1+(0.03)(1))[/tex]

[tex]A = 300(1.03)[/tex]

[tex]A = 309[/tex]

Gwen will owe $309.

Answer:

2:29 AM

Step-by-step explanation:

By the time the planes reaches California, the time, in Mountain time, is 14:89 AM or 3:29 AM. From the mountains to the Pacific, the time goes back by 1 hour. 3:29 - 1 hour is 2:29 AM.

The amount saved per week is $15 assuming a constant saving rate per week.

Assume she has saved at a constant rate ;

The amount saved per week is $15

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Final answer:

Mindy saved $90 over 6 weeks, suggesting a constant rate of saving $15 per week. The proportional relationship between her total savings (y) and the number of weeks (x) is y = 15x.

Explanation:

Mindy started with $0 and after six weeks had $90. To find the proportional relationship between the money saved and the number of weeks, we assume that she saves the same amount every week. Since we know the total savings and the total time, we can divide the total savings by the number of weeks to find the constant rate.

Mindy's weekly saving rate would be:

Calculate the total amount saved: $90.

Divide the total amount by the number of weeks: $90 ÷ 6 weeks.

The result is $15 per week.

Therefore, the constant rate of saving is $15 per week. The proportional relationship can be represented as y = 15x, where y represents the total amount saved and x represents the number of weeks.

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

[tex]AP=\frac{2}{3} AB[/tex]

and

[tex]AP_x=\frac{2}{3} AB_x[/tex]

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

[tex]AB_x=8-2=6\ units[/tex]

[tex]AP_x=\frac{2}{3} (6)=4\ units[/tex]

The x-coordinate of P is equal to

[tex]P_x=A_x+AP_x[/tex]

where

A_x represent the x-coordinate of A

substitute the values

[tex]P_x=2+4=6[/tex]

therefore

The x-coordinate of point P is 6

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

Answer:

Step-by-step explanation:

To find the x-intercept of – 3x + 5y = 15, let y = 0 and solve the remaining equation for x:  – 3x + 5(0) = 15

Then -3x = 15, and x = -5.  Thus, the x-intercept is (-5, 0).

to find the y-intercept of – 3x + 5y = 15, set x = 0 and solve the remaining equation for y:  5y = 15, so that y = 3.  The y-intercept is (0, 3).

Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 4(x + 8) ← is in point- slope form

with slope m = 4 and (a, b) = (- 8, 3) → A

Answer:

Emma was right to say that both packages are close to 2 pounds.

If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:

2.36 - 2.0 = 0.36

2.09 - 2.0 = 0.09

The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.

Answer:

As the first term is 11, and the sequence increases by a common difference of 11, it can be modelled with the equation 11+(n-1)(11) where n is the nth term

Hence the 100th term is 11+ 99(11)= 1100