The sum of the numbers x, y, and z is 50. The ratio of x to y is 1 : 4, and the ratio of y to z is 4 : 5. What is the value of y?
A. 4
B. 8
C. 10
D. 20

Answers

Answer 1

Answer:

x:y:z

1:4

4:5

-------------

1:4:5

-------------

let a:b:c=k:4k:5k

k+4k+5k=50

10k=50

k=5

y=4(5)

=20(D)

Answer 2

Answer:

D. 20

Step-by-step explanation:

x:y:z

1:4:5

1+4+5=10

50÷10=5

1=5

4=?

4=4×5

=20


Related Questions

(select all the correct answers) Which function are correctly graphed

Answers

9514 1404 393

Answer:

  A, D

Step-by-step explanation:

The first and last functions are correctly graphed here. The others suffer from misplaced solid/open dots. When the inequality is < or > and does not include the "or equal to" bar (as in ≤ or ≥), then the corresponding end dot is an open circle.

if the average of 6 numbers is 60, what is their sum?

Answers

Answer:

10

Step-by-step explanation:

The average of a dataset is the mean value of the dataset. It is calculated by dividing the sum of the dataset by the number of items in the dataset. The sum of the 6 numbers is 360.

Given that:

[tex]Average = 60[/tex]

[tex]n = 6[/tex] --- the number of data in the dataset

The average of a dataset is represented as:

[tex]Average = \frac{Sum}{n}[/tex]

Make Sum the subject

[tex]Sum = Average * n[/tex]

This gives:

[tex]Sum = 60 * 6[/tex]

[tex]Sum = 360[/tex]

Hence, the sum of the 6 numbers is 360.

Read more about averages at:

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Please help.
A: 4/7
B: 3/7
C:5/7
D: 2/7

Answers

Answer:

D: 2/7

Step-by-step explanation:

The probability of an event x is how likely the event will occur. It is given as;

P(x) = number of expected outcomes / number of possible outcomes

Given:

Event A = The place is a city.

Therefore,

P(A) is the probability that the event A happens. i.e the probability that a place is a city.

P([tex]A^c[/tex]) is the probability that the event A does not happen. i.e the probability that a place is not a city

Also,

The sum of the probability that an event happens and the probability that the event does not happen is equal to 1. i.e

P(A) + P([tex]A^c[/tex]) = 1

From the table,

P([tex]A^c[/tex]) is found by counting the number of places that does not have a tick on the "is a city" column, then divide the result by the total number of places. i.e

P([tex]A^c[/tex]) = 2 ÷ 7

P([tex]A^c[/tex]) = 2/7

Therefore P([tex]A^c[/tex]) which is the probability that the place is not a city is 2/7

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of

Answers

Answer:  the minimum sample size needed = 145

Step-by-step explanation:

Formula for sample size:

[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]

, where z* = Critical z-value

Given: Standard deviation = 2.15

Margin of error = 0.35

Z* for 95% confidence = 1.96

Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]

[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]

Hence, the minimum sample size needed = 145

Does someone know the answer too: 10 less than s? Ty

Answers

Answer:

s-10

hope this helps

have a good day :)

Step-by-step explanation:

Is segment ST tangent to circle P1

Answers

Answer:

B . Yes

Step-by-step explanation:

Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.

Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.

To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:

c² = a² + b², where,

c = longest side (hypotenuse) = 37

a = 12

b = 35

Plug in the value

37² = 12² + 35²

1,369 = 1,369 (true)

Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.

Thus, segment ST is a tangent to circle P.

I’ll give brainliest

Answers

Answer:

C. C = 3P

Step-by-step explanation:

C = total costs

P = number of popsicles

Unit price of 1 popsicle = $3

To get the total cost of popsicles, we need to multiply the number of popsicles bought by the price of each popsicles

Total cost of popsicles = number of popsicles × unit price

Thus, the question would be written as:

C = 3P

simplify 16 + 15 - 5​

Answers

31 - 5
Or
26 I hope this is ok

`Please help me with this 4/5v = - 8/7

Answers

Answer: v= -10/7


Explanation: Simply both sides of the equation then isolate the variable.

(125/64)-1/3 as a radical

-1/3 is square it should be and the top of 64 outside the bracket

Answers

9514 1404 393

Answer:

  ∛(64/125) = 4/5

Step-by-step explanation:

Maybe you want to express ...

  [tex]\displaystyle\left(\frac{125}{64}\right)^{-\frac{1}{3}}=\left(\frac{64}{125}\right)^{\frac{1}{3}}=\boxed{\sqrt[3]{\frac{64}{125}}}[/tex]

__

The denominator of the fractional exponent is the index of the radical. The other applicable rule of exponents here is a^-b = 1/a^b.

If the mean of a normal distribution is 26, what is the median of the distribution? O A. 22 O B. 14 C. 26 D. 18 SUB​

Answers

Answer:

B

Step-by-step explanation:

26 divides by 2 = 13

13+2=14

question : Suppose you have VND 100 million to save orspend. If you lend, you will receive 112 million after a year. Inflation is 14% / year.
a. What is the nominal interest rate you get?
b. What is the real interest rate?
c. Should you save or spend that money?
d. Question (c) how will be answered if inflation is 10% / year, nominal interest rates do not change?

Answers

Answer:

Step-by-step explanation:

Find cot 0, sec 0, and cos 0, where is the angle shown in the figure. Give exact values, not decimals approximations.

Answers

Answer:

Cot 0 = undefined

Sec0 = cos0 = 1

Step-by-step explanation:

According to trig identity

Cot theta = 1/sin theta

Sec theta = 1/cos theta

Hence

Cot 0 = 1/tan0

Cot 0 = 1/0

Since a/0 is undefined, hence cot 0 will be undefined

Sec 0 = 1/cos 0

Sec0 = 1/1 = 1

Cos 0 = 1

.
6.EE.2c
1. Evaluate the following algebraic expression when x = 3
2xexponet2 + 5x - 10

Answers

Answer:

the answer is 23

Step-by-step explanation:

2x9+15-10

18+15-10

33-10

23

how can i answered this​

Answers

Here’s the answer, hope you understand

Answer:

hope it is helpful to you

Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?

A. 11,000 mm
B. 12,000 mm
C. 12,500 mm
D. 13,000 mm

Answers

Answer:

b. 12 000 mm

Step-by-step explanation:

multiply by 1 000

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm
How far did Chubby run?
Round your answer to the nearest cm
PLEASE HELP ILL GIVE BRAINLIEST

Answers

9514 1404 393

Answer:

  6283 cm

Step-by-step explanation:

The circumference of the wheel is given by ...

  C = πd

  C = π(20 cm) ≈ 62.83185 cm

100 turns of the wheel will be a distance 100 times this value, or ...

  race = 100C = 100(62.83185 cm) = 6283.185 cm

Chubby ran about 6283 cm.

__

Additional comment

To get the required 4 significant figures in the answer, we used the "pi button" on the calculator. Alternatively, you could use the ratio π ≈ 355/113, which is good for 6 significant figures.

please help I'm not good with word problems ​

Answers

Answer:

7 5/8

Step-by-step explanation:

5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8

5 ²⁄₈+2 ⅜= 7 ⅝
7 ⅝ miles is the answer

can someone please help me solve?

Answers

Answer:

0.75

Step-by-step explanation:

d = FE = 4

e = DF = 3

f = ED = 5

f/sin(F) = e/sin(E)

5/sin(90) = 3/sin(E)

5 = 3/sin(E)

sin(E) = 3/5 =0.6

E = asin(0.6) = 36.869898... degrees

tan(E) = tan(36.869898...) = 0.75

Ethan is 1.6 metres tall, Uzma is 154 cm tall.
Work out how much taller Ethan is than Uzma.

Answers

Answer:

1.6 metres is 160 centimetres

Ethan is 6 centimetres taller than Uzma

a.-2
b.2
c.1
d.-1
e.-6

plz help being timed will mark brainliest​

Answers

Answer:

-2 and -1

Step-by-step explanation:

The range would be inside the red half circle and since it is below the horizontal middle line, it is negative. Both -1 and -2 are in the range of the red half circle, both of them are the answer

Plz show work, this is a test. NO LINKS!!!

Answers

Answer:

surface area of the square pyramid

=(32×32)+(2×32×20)

=1024+1280

=2304 square feet

how many solution does this equation have 17+4h+2=19−5h+9h?

Answers

Answer:

h=0

Step-by-step explanation:

if you plug it it works

Answer:

The input is an identity, it is true for all values.

Step-by-step explanation:

17 + 4h + 2 = 19 - 5h + 9h

19 + 4h = 19 - 5h + 9h

19 + 4h = 19 + 4h

19 - 19 + 4h = 19 - 19 + 4h

4h = 4h

4h ÷ 4 = 4h ÷ 4

h = h

The input is an identity, it is true for all values.

In a group of five students, there are two boys and three girls. The instructor randomly selects one student to record for the group and another student to spy on the other groups. Find P(boy first and girl second), the probability of selecting one of the boys first, and then selecting a girl for the second role

Answers

Answer: The instructor randomly selects one student to record for the group and another student to spy on the other groups.

[tex]\color{yellow}{}[/tex]

Determine the value of x.

1) 14.75
2)15.25
3)11.92
4)18.56

Answers

Opposite angles are supplementary, the sum is 180 degrees.
6x+10+81.5=180
Combine like terms:
6x+91.5=180
Subtract 91.5 to both sides:
6x=88.5
Divide 6 to both sides:
x=14.75
The answer is 1) 14.75
Hope this helped!

A survey result shows that cell phone usage among teenagers rose from 63% in 2006 to 71% in 2008.
Of the following choices, which statement about cell phone use among teenagers is true?
a. Cell phone usage rose by 11.2 percentage points.
b. Cell phone usage rose by 12.7 percentage points.
c. Cell phone usage rose by 12.7%.
d. Cell phone usage rose by 8%.

Answers

Answer:

d. Cell phone usage rose by 8%.

Explanation:

71 - 63 = 8

The statement that is true about percentage increase in cell phone use among teenagers is; c. Cell phone usage rose by 12.7%.

How to calculate percentage increase?

We are given;

Percentage of teenagers using cell phone in 2006 = 63%

Percentage of teenagers using cell phone in 2008 = 71%

Thus;

Percentage increase = (71% - 63%)/63%

Percentage increase = 12.7%

Read more about Percentage Increase at; https://brainly.com/question/11360390

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An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?

Answers

Answer:

7x+12y<350

Step-by-step explanation:

7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350

PLEASE PLEASE HELP!!!!

Find the volume of the triangular pyramid to the nearest whole number

A) 170in³
B) 340in³
C) 680in³
D) 1,020³

Answers

V=(l x w x h) / 3 ———> (10 x 12 x 17) / 3 ———> 2040/3 = 680 in^3, it’s C

Select 3 sides that can form a right triangle.

Answers

Answer: 14, 48, 50

Step-by-step explanation:

14^2+48^2=50^2

Idek how to explain this but please help me

Answers

Answer:

Put 4 in the place of x then you'll get

[tex] \frac{10}{22} [/tex]

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

→ Substitute 4 for x

[tex]\frac{4^{2}-6 }{(3*4)+10} =\frac{16-6}{12+10} =\frac{10}{22} =\frac{5}{11}[/tex]

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