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frez [133]
3 years ago
12

Simplify

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer:

that's the simplified way 24×15×38

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A runner ran 20 miles in 150 minutes. If she runs at that speed, how long would it take her to run 6 miles? How fast is she runn
Nataly_w [17]
First you do 150 divided by 20, which equals 7.5, so then you would do 7.5 times 6 and that equals 45 minutes. Hope that helped!
4 0
3 years ago
Zebras migrate in a circle with a round trip of about 300 miles. They travel at 64 km/h. How many hours does it take zebra to do
Tresset [83]

Answer:

7.5 hours (7 hours and 30 minutes)

Step-by-step explanation:

ok Let's start with 64km/h.

1.6 km=1 mile,

64÷1.6=40miles

so 64km/h changes into 40miles/hour.

Zebras's round trip =300miles,

300/40=7.5

so answer is 7.5 hours.

8 0
3 years ago
Question 1 (1 point)
olga55 [171]

Answer:

1) 2y^{2}+4y-9

2) 18x^{5}y^{4}z

3) 6x^{5}-12x^{4}+9x^{3}

4) 40

5) x^{3}-7x^{2}+3x+36


Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}

4) (4a+5)^{2} is a square of a sum, then, by definition you have:

(a+b)^{2}=a^{2}+2ab+b^{2}

Then:

(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5)  Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36

6 0
3 years ago
The sum of 2 rational numbers is 5/2. if one of the number is -7/3. then find the other number.
serg [7]

Answer:

can you help me on myquestio

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session. When the readout indicated 24
Nat2105 [25]

Answer:

E. 16 min 12 sec

Step-by-step explanation:

Let x represent total time taken to complete the exercise.

We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.

18 seconds will be equal to 0.3 minutes.

Let us find total time of exercise as:

\frac{90}{100}x=24.3

0.90x=24.3

\frac{0.90x}{0.90}=\frac{24.3}{0.90}

x=27

To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

\frac{60}{100}(27)=0.60(27)=16.2

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

0.20(60)=12

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.

8 0
3 years ago
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