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3 years ago

Work out, giving your answer in its simplest form: 2 1/4 × 3 1/5

Mathematics

1 answer:

marta [7]3 years ago

4 0

Answer:

7 1/5

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

9/4 × 16/5

Applying the fractions formula for multiplication,

= 9 × 16 / 4 × 5

= 144/20

Simplifying 144/20, the answer is

7 1/5

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What numbers multiplie to equal -30 but add to equal -1

VashaNatasha [74]

Answer:

5 and -6.

Step-by-step explanation:

When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.

5 0

3 years ago

Saved 250 mg sing value in 50 mg 10 ml X Choice

Bumek [7]

Hi there!

What is the question and then i can help!

4 0

3 years ago

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i

dsp73

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

$v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s$

Also,

$v=r\omega$

Where

$\omega$ is the angular speed

So,

$\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s$

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

8 0

3 years ago

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

Simora [160]

Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

$t=2.5\ years$

3 0

4 years ago

Ally has 4 times as many pencils as Anna Claire. They have 30 pencils in all. How many pencils does Ally have?

dexar [7]

T = 30

A = 4c

A + c = T

Anna Claire has 6 pencils. Times 4 makes Ally's pencil count. 4 * 6 = 24

24 + 6 = 30. So, you answer is: Ally has 24 pencils.

5 0

3 years ago