Trina uses 1/2 cup of sugar and 3/4 cup of flour in a recipe. How many cups of sugar would she need if she uses 3 cups of flour?

A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10

ahrayia [7]

Answer:

5.5

Step-by-step explanation:

We have a list of 10 numbers (n = 10) ordered from lower to higher.

1 2 3 4 5 6 7 8 9 10

The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,

median = 5 + 6 / 2 = 5.5

5 0

3 years ago

If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.

stich3 [128]

Answer:

$\dfrac{x+y}{2}$

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

$R=\dfrac{x+y}{2}$

So,

If x and y are two rational numbers such that x < y , then $\dfrac{x+y}{2}$ is a rational number in between x and y.

3 0

2 years ago

Simplify the expression below. 12b + 86 + 5b 0 25 + b O 25(3b) 25b 3b

Alja [10]

(1): "^-5" was replaced by "^(-5)". 3 more similar replacement(s)

STEP

1

:

Equation at the end of step 1

((25•(b-1))•(c-3))

(((12•(b4))•(c-6))•——————————————————)•((2•5b(-5))•c)

((15•(b3))•(c4))

STEP

2

:

Equation at the end of step

2

:

((25•(b-1))•(c-3))

(((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

((3•5b3)•c4)

STEP

3

:

Equation at the end of step

3

:

(52b(-1)•c(-3))

(((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

(3•5b3c4)

STEP

4

:

52b(-1)c(-3)

Simplify ————————————

(3•5b3c4)

Dividing exponential expressions :

4.1 b(-1) divided by b3 = b((-1) - 3) = b(-4) = 1/b4

Dividing exponential expressions :

4.2 c(-3) divided by c4 = c((-3) - 4) = c(-7) = 1/c7

Dividing exponents:

4.3 52 divided by 51 = 5(2 - 1) = 51 = 5

Equation at the end of step

4

:

5

(((12•(b4))•(c-6))•—————)•(2•5b(-5)c)

3b4c7

STEP

5

:

Equation at the end of step

5

:

5

(((22•3b4) • c(-6)) • —————) • (2•5b(-5)c)

3b4c7

STEP

6

:

Canceling Out :

6.1 Canceling out b4 as it appears on both sides of the fraction line

Dividing exponential expressions :

6.2 c(-6) divided by c7 = c((-6) - 7) = c(-13) = 1/c13

Canceling Out:

6.3 Canceling out 3 as it appears on both sides of the fraction line

Equation at the end of step

6

:

20

——— • (2•5b(-5)c)

c13

STEP

7

:

Multiplying exponents:

7.1 22 multiplied by 21 = 2(2 + 1) = 23

Multiplying exponents:

7.2 51 multiplied by 51 = 5(1 + 1) = 52

Dividing exponential expressions :

7.3 c1 divided by c13 = c(1 - 13) = c(-12) = 1/c12

Final result :

200

—————

b5c12 Answer:

Step-by-step explanation:

5 0

3 years ago

There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Ivanshal [37]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total}$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow$

Finally, solve for x:

$8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow$

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

6 0

3 years ago

Solve for x and y x+y=a x−y=b PLZ HELP VERY URGENT

antoniya [11.8K]

Answer:

Step-by-step explanation:

x+y=a

a=x+y

x−y=b

b=x−y

Good luck honey!

8 0

3 years ago