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

Given the equation of the circle what is the radius? (x-9)2+ (y+5)2 = 36

Answers

Answer:

6

Step-by-step explanation:

In a circle equation, the radius can be found by taking the square root of the r² value.

In this equation, the r² value is 36.

Take the square root:

√36

= 6

So, the radius is 6.

2 +2 pls give me the answer​

Answers

Answer:

4

Step-by-step explanation:

2+2=4

A person drives a car between the two places x and y. On his outward journey he consumes 8 km per liter of petrol, on his return journey he covers 12 km per liter. Find the average of his mileage assuming the distance between the two places to be 100​

Answers

:/ im sorry but i needa get my points i dnt kno the answer tho srry

Find c,d, & e if A=127 B=90 and F= 111

Answers

Answer:

C) 143

D) 37

E) 74

Step-by-step explanation:

C) 180 - 37 = 143

D) 180 - 143 = 37

E) 180 - 37 - 69 = E

James made 20 basketball shots in 15 minutes.

What is the number of basketball shots James can make in 45 minutes?

А

60

B

45

С

34

D 7

Answers

The answer is:
A
60

Because if he made 20 basketballs shots in 15 and 15 multiplied by 3 is 45, then you have to multiply 20 by 3 to get 60

ESTION 1
T1
- Say whether you think each statement is True or False. Motivate your answer.
1 It always makes sense to talk about a certain percentage of a number, for example 1%​

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

"Always" and "never" statements are generally false--especially when they relate to something like a topic of conversation. Even in the context of math and physics, we find exceptions to most "rules."

(3x^ - 6x +11) - (10x^ - 4x + 6)

Answers

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

showing ALL calculations, whether this statement is valid
Rammone invests R505 050.00 for three years at a banking institution when
will grow at 5% compound interest per year.
2.2.1
Use a yearly STEP by STEP or a long method and calculate the
interest earned after three years. (Do not use the compound intere
formula.)​

Answers

Answer:

RM79 608.51

Step-by-step explanation:

First year,

RM505 050.00×5%=RM505 050.00×5/100

=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

RM25 252.50+RM26 515.13+RM27840.88=RM79608.51

I don't know that is R or RM

if it is R ,sorry

Hope can help!

Solve the system.
2x + y = 3 −2y = 14 − 6x

Answers

Answer:

(x , y ) = (39/22 , -2/11 )

.............

Answer:

-2,3 3,-7

Step-by-step explanation:

took test :)

What is the equation of a circle with center (4, 4) and radius 7?

Answers

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

help simplify √10/18

Answers

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

Rewrite [tex]sin^25xcos^25x[/tex] simplified using power reduced formulas

Answers

Step-by-step explanation:

The power reducing formulas are given by the following:

[tex]\sin^2 x = \dfrac{1- \cos2x}{2}[/tex]

[tex]\cos^2 x = \dfrac{1+ \cos2x}{2}[/tex]

We can then write the given expression as

[tex]\sin^25x \cos^25x[/tex]

[tex]= \left(\dfrac{1- \cos 2(5x)}{2} \right) \left(\dfrac{1+ \cos 2(5x)}{2} \right)[/tex]

[tex]= \dfrac{1}{4}(1- \cos 10x)(1+ \cos 10x)[/tex]

[tex]= \dfrac{1}{4}(1- \cos^2 10x)[/tex]

[tex]= \dfrac{1}{4} \left(\dfrac{1- \cos 20x}{2} \right)[/tex]

or

[tex]\sin^25x \cos^25x= \dfrac{1}{8}(1- \cos 20x)[/tex]

Pls help I’ll brainlest

Answers

Answer:

B.) 0.00692

Step-by-step explanation:

6.92 x 10^-3

0.00692

What function is represented in the graph

Answers

Y= 2(.3^x)
Explanation:
Graphing it

Solve the equation -6 + 4a = 18 for a.

OA) 4

OB) 5

OC) 6

OD 9​

Answers

Step-by-step explanation:

-6 + 4a = 18

4a= 24

a=6

!!!!!!!!!!!!

Answer:

OC) 6

Step-by-step explanation:

Transpose -6 to the other side

-6 + 4a = 18

4a = 18+6

4a = 24

a = 6

WHAT IS THIS HELP- 20 points i think-

Answers

Answer:

(6,5)

Step-by-step explanation:

To keep the sides parallel, the y coordinate must be  the same as the top point so y = 5

The distance between the bottom points is 1, so the distance between the top points must be 1

The point could be at 5-1 =4  or 5+1 = 6

(4,5) or (6,5)

Given the choices listed

what number is exactly halfway between 2.5 and 3.5​

Answers

Answer:

3 is exactly halfway between 2.5 and 3.5​.

Step-by-step explanation:

The first number is 2.5

The second number is 3.5

We need to find the number that is exactly halfway between 2.5 and 3.5​. It can be calculated as follows :

[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]

Hence, 3 is exactly halfway between 2.5 and 3.5​.

Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)

Answers

Answer:

3/10 quarts.

Step-by-step explanation:

Set the denominators equal to one another.

4/5 = 8/10 (multiplied by a factor of 2)

1/2 = 5/10 (multiplied by a factor of 5)

Subtract the 5/10 from the 8/10

3/10 qt

A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?

Answers

Answer:

if following simple addition/multiplication, the answer should be 12 cartons of vanilla.

The following tables each show the amount of money, in dollars, in four different bank accounts over time.

Which table best represents an exponential relationship?

A.
Years 1 2 3 4 5
Account Balance 1100.00 1350.00 1600.00 1850.00 2100.00
B.
Years 1 2 3 4 5
Account Balance 1100.00 1210.25 1320.50 1430.75 1541.00
C.
Years 1 2 3 4 5
Account Balance 1100.00 1190.00 1340.00 1550.00 1820.00
D.
Years 1 2 3 4 5
Account Balance 1100.00 1210.00 1331.00 1464.10 1610.51

Answers

Answer:

C

Step-by-step explanation:

it is not my percentage, it is not constant, it is increasing over time

The answer is going to be c I got it right

An angle in standard position measures
radians.
8
In which quadrant does the terminal side of this angle lie?

Answers

Answer:

The angle is in the third quadrant

During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
оооо
9
18

Answers

They lost 9 and gained nine so the did not move still in the same spot

Write the number 0.000 378 21 in standard form.

help please

Answers

Answer:

3.7821 (SDF)

Step-by-step explanation:

Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x 11 12 4 6 13 14 8 10 7 5 9
y 18.69 19.17 6.13 11.37 19.31 19.31 15.28 17.88 13.49 8.91 16.75

Required:
Create a scatterplot of the data.

Answers

Answer:

Ŷ = 1.3082X + 3.3436

Step-by-step explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :

What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer

Answers

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

write a recursive formula for the following sequence 25,43,61,79,97
F(1)= 25
F(n)= F (n-1) +18

Answers

Given:

The sequence is:

25,43,61,79,97

To find:

The recursive formula for the given sequence.

Solution:

We have,

25,43,61,79,97

Here, the first term is 25. Now, the differences between the two consecutive terms are:

[tex]43-25=18[/tex]

[tex]61-43=18[/tex]

[tex]79-61=18[/tex]

[tex]97-79=18[/tex]

The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.

The recursive formula of an arithmetic sequence is:

[tex]F(n)=F(n-1)+d[/tex]

Where, d is the common difference and F(1) is the first term.

Putting [tex]d=18[/tex], we get

[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

Step-by-step explanation:

From Mathematics, we know that absolute values are defined by the following characteristics:

1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]

2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]

Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:

[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]

Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].

1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D​

Answers

Your answer is going to be a
A because 100+100 is 200

If PQ = 4i+3j+2k, find /PQ/​

Answers

Answer:

| PQ | = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here PQ = 4i + 3j + 2k , then

| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]

If a 32-gram serving of pasta contains 4g of protein, how many grams of protein are in a 908-gram box of the pasta ?

Answers

Step-by-step explanation:

This is my solution you honestly just need to cross multiply

Answer:

113.5

Step-by-step explanation:

32 : 4 = 908 : X

X = (4 * 908) / 32

X = 113.5

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