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3 years ago

What is 5/8 times 4? Then simplify your answer.

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

8 0

5/8 x 4/1 multiply numerators 5 x 4=20 multiply denominators 8 x 1=8 20/8= 5/2 or 2 1/2 hope this helps

scZoUnD [109]3 years ago

4 0

The answer is 2 1/2. Because you need to cross cancel then you take the "freeway", and you get 5/2 and simplified is 2 1/2.And since half equals .5 it would be 2.5 just in case you also needed decimal.

Hope I Helped!!!!!!!!!!

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Evaluate 3x+y when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.

SOVA2 [1]

Answer:

3x+y

=3*1/3-7/4

=1-7/4

=(4-7)/4

=-3/4

6 0

2 years ago

Write each sum using summation notation 12 + 22 + 32 + 42 + ⋯ + 10000^2

Murljashka [212]

Answer:

50,00,70,000

Step-by-step explanation:

The given sequence is Arithmetic Progression.

Arithmetic Progression is a sequence in which every two neighbor digits have equal distances.

Here first we will find the number of terms

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

Now, In given sequence: 12, 22, 32, 42, ⋯ , 100002

a = 12, d = 10, n = ? and aₙ= 100002

∴ 100002 = 12 + (n - 1) × (10)

⇒ 99990 = 10(n - 1)

⇒ n = 10000

Now using the formula of Sum of Arithmetic Sequence,

Sₙ = n÷2[2a + (n - 1)d]

⇒ Sₙ = (10000÷2)[2 × 12 + 9999 × 10]

⇒ Sₙ = 5000 [ 24 + 99990]

⇒ Sₙ = 5000 × 100014 = 50,00,70,000

5 0

3 years ago

Quadrilateral ABCD is inscribed in circle O. What is m∠B ? Enter your answer in the box. ° A quadrilateral is inscribed in a

TiliK225 [7]

Answer:

$m$

Step-by-step explanation:

Step 1

Find the value of x

we know that

In an inscribed quadrilateral the opposites angles are supplementary

In this problem

$m$

substitute the values and solve for x

$(2x-7)+(x+4)=180\°$

$3x-3=180\°$

$3x=183\°$

$x=183\°/3=61\°$

step 2

Find the measure of angle B

$m$

substitute the value of x

$m$

8 0

3 years ago

Part A: What is the measure of line RV. Part B: What is the measure of line PV

Korvikt [17]

Answer:

RT=6.5

PV=7.3

Step-by-step explanation:

5 0

2 years ago

12. The container shown has a capacity of 60 milliliters. What fraction of it is empty?

White raven [17]

This is an incomplete question, the image is shown below.

Answer : The fraction empty container is, $\frac{7}{12}$

Step-by-step explanation :

As we are given that:

The capacity of container = 60 mL

In the given figure, the container is filled with 25 mL.

That means,

60 - 25 = 35 mL container is empty.

Now we have to calculate the fraction of it is empty.

The fraction of it is empty = $\frac{\text{Capacity of empty container}}{\text{Total capacity of container}}$

The fraction of it is empty = $\frac{35mL}{60mL}$

The fraction of it is empty = $\frac{7}{12}$

Therefore, the fraction empty container is, $\frac{7}{12}$

7 0

3 years ago