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3 years ago

12

Find the greatest common factor of 15 x²y³ and -18 x³yz .

2 answers:

Masteriza [31]3 years ago

7 0

Answer:

3 x² y¹

Step-by-step explanation:

15 x²y³ = 3. 5. x². y³

-18x³yz = -2. 3². x³. y¹. z¹

so, the GCF = 3. x². y¹

fgiga [73]3 years ago

7 0

Answer:

Solution given:

15x²y³=3*5*x*x*y*y*y

-18x³yz=-3*2*3*x*x*x*y*z

over here common is

3*x*x*y

so

greatest common factor is 3x²y¹

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Furkat [3]

Answer: A IS CORRECT

Step-by-step explanation:

6 0

3 years ago

A box of cereal states that there are 75 calories in a 34-cup serving. What is the unit rate for calories per cup? How many calo

xeze [42]

The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
$\frac{75 cal}{3/4 cup} = \frac{X cal}{1 cup}$
Cross multiply and solve:
$\frac{3}{4} X = 75\\ 3X=300\\X=100$
There are 100 calories per cup of cereal.

To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
$100*4=400$
There are 400 calories in 4 cups of cereal.

8 0

3 years ago

Read 2 more answers

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts

Evgesh-ka [11]

Amount of walnuts= $\frac{3}{4} kg$

Amount of almonds= $\frac{1}{2} kg$

Amount of pecans= $\frac{1}{4} kg$

Total amount= $\frac{3}{4}+\frac{1}{2}+\frac{1}{4}$

LCM is 4 so sum is = $\frac{3+2+1}{4}=\frac{6}{4}$ = $\frac{3}{2}$

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

$\frac{\frac{3}{2}}{\frac{3}{10}}$

= $\frac{3}{2}\times\frac{10}{3}$ = 5

Hence, answer is 5 bags.

5 0

3 years ago

Jimmy cell phone plan has been a base charge of $50 per month with an additional charge of 65 cents per app downloaded. Lisa cel

Soloha48 [4]

Answer:

20

Step-by-step explanation:

We write what we know.

Jimmy

$50/mo app 65¢ or .65

Lisa

$55/mo app 40¢ or .40

a = number of apps

The difference will come from the number of apps, a.

We need them to equal each other so let's write an equation.

$50 + .65a = $55 + .40a

We need to solve for a.

$50 + .65a = $55 + .40a subtract $50 for each side.

$50 - $50 + .65a = $55 - $50 + .40a

.65a = $55 - $50 + .40a

.65a = $5 + .40a subtract .40a from each side

.65a - .40a = $5 + .40a - .40a

.65a - .40a = $5

.25a = $5 Divide each side by .25

.25a/.25 = $5/.25

a = $5/.25

a = 20

So Jimmy and Lisa need to download 20 apps for their bill to be the same.

7 0

3 years ago

Choose the correct graph of the function y=-1/2√x+3+2

Bad White [126]

Find y intercept

$\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2$

$\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2$

$\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2$

$\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}$

$\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}$

$\\ \rm\rightarrowtail y=\dfrac{2.368}{2}$

$\\ \rm\rightarrowtail y=1.184$

y intercept=(0,1.2)

Option A

5 0

2 years ago