A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?

Answers

Answer 1
2:5 = 2+5=7
175 divided by 7 = 25
5 x 25 =125
2 x 25 = 50
mass of yogurt is 125

Related Questions

solve 4/6 x 2/5(PLEASE HELP I'M FAILING MATH!!!!!!!!!!!!!!!!!!!!!!!!!!)

Answers

[tex] \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Solve the proportion
x/10=9/5

Answers

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

At the store one pack of pencils are on sale 4 for $1.25. Another pack has 8 pencils for $2.50 with 20% off. Which is the better deal?

Answers

Answer:

second pack

Step-by-step explanation:

1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31

2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.

I hope it wasn't too confusing

8) The height of a stack of CD cases is Proportional to the number of CDs in the stack. A stack of 6 CDs is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CDs?


b) Write an equation that relates the height (y) of a stack of CDs and the number of CD cases(x) in the stack.

please help I will mark your answer as brainliest

Answers

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

use substitution method (y = 2x-10 (2y=x-8

Answers

Answer:

  (4, -2)

Step-by-step explanation:

Use the expression for y given by the first equation to substitute for y in the second equation.

  2(2x -10) = x -8 . . . substitute for y

  4x -20 = x -8 . . . . . eliminate parentheses

  3x = 12 . . . . . . . . add 20-x

  x = 4 . . . . . . . . .divide by 3

  y = 2(4) -10 = -2 . . . substitute for x in the first equation

The solution is (x, y) = (4, -2).

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

We've been given to find out the values of x & y from the two given linear equations by substitution method.

Here we have,

y = 2x - 10 - - - - - (1)

2y = x - 8 - - - - - (2)

As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,

[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]

[tex]:\implies\tt{4x - 20 = x - 8}[/tex]

[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]

[tex]:\implies\tt{3x = 12}[/tex]

[tex]:\implies\tt{x = \frac{12}{3} }[/tex]

[tex]:\implies\tt{x = 4}[/tex]

Placing x = 4 in equation (1) we get,

[tex]:\implies\tt{y = 2x - 10}[/tex]

[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]

[tex]:\implies\tt{y = 8 - 10}[/tex]

[tex]:\implies\tt{y = - 2}[/tex]

The solution of the given system for linear equation is (x,y) = (4,-2)

BRAINLIEST FOR CORRECT ANSWER
Two friends rent an apartment together. They agree that one person will pay 3 times what the other person pays. If the rent is $850, then what equation could be used to determine how much each person pays?

Answers

Answer:

n+3n=$850  n is one person and 3n is the other represented by n

Step-by-step explanation:

Two friends rent an apartment, where one person pays *3 times* of what the other person pays.

This can be shown as, where x is equal to the pay of what the other person pays:
Again, one friend will pay 3 times what one person pays.

3x + x = 850

Which can be simplified to:

4x = 850

Where 850 is the total rent to be payed.

To find out how much one person pays, you can solve the equation for x.

4x = 850

x = $212.5

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is
10 meters high, how long does the wire connecting the anchor to the pole must be?
(Round answer to the 1st decimal place.)

Answers

Answer:

26.7 m

Step-by-step explanation:

The 22 degree angle is opposite to the 10 m side of the right triangle.

We need to find the length x of the hypotenuse.

Use trigonometry:

sine = opposite/hypotenusesin 22° = 10/xx = 10 / sin 22° x = 26.7 m (rounded)

Answer:

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is

10 meters high, how long does the wire connecting the anchor to the pole must be?

(Round answer to the 1st decimal place.)

Rewrite this problem combining like terms!!
2 m − 3 m + 4

Answers

i believe the answer is 4-m! hopefully it’s right, sorry if it’s not!

Can someone plz help me? :(

Answers

the answer to your question is B.) 12x

Which of the following is a nonlinear function

Answers

Answer:

Linear functions are equations where the greatest power of the variable (typically x) is 1;

They are graphed as straight lines;

So, any function that has the following format:

f(x) = ax + b;

Nonlinear functions would be any equation that has a variable to a power greater than 1;

This could be a quadratic equation or an exponential equation

What force must be applied to a truck of mass 300kg for it to accelerate at 5m/s2

Answers

Answer:

mass=300kg

acceleration=5m/S2

force=?

Now,

force= m×A

=300kg×5

=1500 Newton answers

Step-by-step explanation:

hop this may help you

Write the equation of the line with a slope of 3 and passes through the point (0,5).
Answer can be in either slope-intercept
form or point-slope
form

Answers

Answer:

y=3x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-5=3(x-0)

y-5=3(x)

y-5=3x

y=3x+5

Note that the slope intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.


Solve the system of equations 4x – 5y = –6 and -6x + 7y = 12 by
combining the equations.

Answers

Answer:

x=-9, y=-6. (-9, -6).

Step-by-step explanation:

4x-5y=-6

-6x+7y=12

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

6(4x-5y)=6(-6)

4(-6x+7y)=4(12)

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

24x-30y=-36

-24x+28y=48

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

-2y=12

y=12/-2

y=-6

4x-5(-6)=-6

4x+30=-6

4x=-6-30

4x=-36

x=-36/4

x=-9

=
The line y = 4x + 3 crosses the y-axis at A.
1) What is the coordinates of point A?

Answers

Answer:

A(0,3)

Step-by-step explanation:

the line crosses y-axis so its x-coordinates must be zero,

so we subistitute by x=0 in the equation of the line, from this we get y=3

then the coordinates of point A will be (0,3)

Which inequality is graphed on the number line?

Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6

Answers

Answer:

C

Step-by-step explanation:

If the line goes from 6 to 0 then that means it is decending and that T is LESS than 6

please help!! (only correct answers and no links)

Four transformations of the function f(x) are given below.

For each transformation, drag the graph that shows the result of that transformation into the box under it.

Answers

Answer:

f(x) - 3 : the ones that move the graph down

f(x -3)  : the ones that move the graph to the RIGHT

Step-by-step explanation:

graph transformations:

f (x-3):

if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.

f (x) -3:

if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.

hope i could help:)

please help ASAP! A circular plate has a radius of 13 centimeters.

What is the area of the plate?

Use 3.14 for π.

Answers

Answer:

area = PI x r^2

area = 3.14 x 13^2

area = 3.14 x 169

area = 530.66

Step-by-step explanation:

Plz Mark as brainliest hope this helps

Write the expanded form of the expression.

3(4x - 6) =

Answers

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

I need helppp
It’s for math and I’m clueless

Answers

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332

Answers

Answer:

b)252 is the answer

Step-by-step explanation:

x\42=6

x=6*42

x=252

If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.

Answers

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

Answer:

The roots are 1 and 3.

k = 3.

Step- by-step explanation:

We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and  α β = c/a.

The roots are written as  α and α+2, then:

α + α + 2 = -(-4)

2α + 2 = 4

α + 1 = 2

α = 1

also

α (α + 2) = k

Substituting for α:

1(1 + 2) = k

k = 3.

The roots are 1 and 1 + 2 = 3.

Use the table from a random survey about the preferred service for streaming movies. Out of 750 people, how many would you expect to prefer Company B?

Answers

Answer:

The correct answer option is 192

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

Number of people using service B = 32

Total number of people = 125

Number of people expected to prefer Company B =32/125 x 750  = 192

Please help ASAP. Trigonometry
Write TWO different equations that you could use to solve for x. You don't need to solve.

Answers

Answer:

  cos(52°) = 18/x

  x = 18·sec(52°)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

In this geometry, that means ...

  cos(52°) = 18/x

You can use the relation sec(x) = 1/cos(x) to rewrite this as ...

  x = 18·sec(52°)

_____

You can also use the complementary angle and the complementary trig function.

  sin(90° -52°) = 18/x

proportion margin of error equation when proportion is negative

Answers

Step-by-step explanation:

1.Find the sample size, n, and the sample proportion. The sample proportion ρ is the number in the sample with the characteristic of interest, divided by n.

2. Multiply the sample proportion by 1 - ρ.

3. Divide the result by n.

4. Take the square root of the calculated value.  You now have the standard error

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

it’s the y=mx+b so it’ll be m= 1 over 5 basically m equals 1/5

Answer:

1/5 so the first option

Step-by-step explanation:

slope

(y2-y1)/(x2-x1)

Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?​

Answers

10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)

Multiply the original price by 90%

65.00 x 0.90 = 58.50

He will pay $58.50

Which of the following statements is meaningless?
A.There was a 3% decrease in the price of sugar.
B.There was a 200% increase in the population of a town.
C.There was a 120% decrease in the amount of water in a dam. D.There was a 0% change in the temperature in the room after 1 hour.

Answers

Answer:

(C)

Step-by-step explanation:

If can't have a meaning as something can't decrease more than 100% of itself.

The statement that is meaningless is

There was a 120% decrease in the amount of water in a dam.

Option C is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A percentage increase can be of any number.

A percentage decrease can not be below 100%.

Now,

A.

There was a 3% decrease in the price of sugar.

This is possible.

B.

There was a 200% increase in the population of the town.

This is possible.

C.

There was a 120% decrease in the amount of water in a dam.

This is not possible.

The highest percentage decrease can be up to 100%.

D.

There was a 0% change in the temperature in the room after 1 hour.

This is possible.

Thus,

There was a 120% decrease in the amount of water in a dam is meaningless.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

please answer, click on file, thank you ​

Answers

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45

Two cars leave an intersection at the same time. One drives east while the other travels south at 25 miles per hour faster than the other. After 2 hours, the cars are 250 miles apart. How fast is the southbound car driving?

Answers

Step-by-step explanation:

Pythagoras :

c² = a² + b²

c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.

after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.

x² + (x + 50)² = 250²

x² + x² + 100x + 2,500 = 62,500

2x² + 100x = 60,000

x² + 50x = 30,000

x² + 50x - 30,000 = 0

the solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 50

c = -30,000

x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =

= (-50 ± sqrt(2500 + 120000)/2 =

= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =

= -25 ± 175

x1 = -25 + 175 = 150 miles

x2 = -25 - 175 = -200 miles.

negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.

therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).

and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).

Please help me , correct answer will get brainiest!

Answers

answer is probably just 4

4/1 rise over run

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