-10 x 2 + 21x + 10 How do I factor this?

Answers

Answer 1
Answer: -10x^2+21x+10=\n-10x^2+25x-4x+10=\n-5x(2x-5)-2(2x-5)=\n-(5x+2)(2x-5)

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Which equation describes the same line as y – 3 = –1(x + 5)?A. y = –1x – 5
B. y = –1x – 2
C. y = –1x – 1
D. y = –1x + 8

Answers

Answer:

Option B is correct.

y= -1x-2

Step-by-step explanation:

The distributive property says that:

a \cdot (b+c) = a\cdot b+ a\cdot c

Given the equation of line:

y-3 = -1(x+5)

Apply the distributive property we have;

y-3 = -1x-5

Add 3 to both sides we have;

y-3+3= -1x-5+3

Simplify:

y= -1x-2

Therefore, an equation describes the same line as y – 3 = –1(x + 5) is, y= -1x-2

y – 3 = –1(x + 5)

y - 3 = -x - 5

y = -x - 5 + 3

y = -x - 2

answer is B. y = –1x – 2

9 is 60% of what number?

Answers

Lets say 9 is 60% of x
so 9/x= 60/100 or x= 100*9/60=15
so 9 is 60% of 15.
Hope I helped!:-)

A florist uses 200 lilies to make 8 identical flower arrangements. How many lilies would the florist use to create 6 identical arrangements.

Answers

Answer

Find out the how many lilies would the florist use to create 6 identical arrangements.

To prove

As given

A florist uses 200 lilies to make 8 identical flower arrangements.

florist\ uses\ lilies\ to\ make\ 1\ identical\ flower\ arrangements = (Total\ number\ of\ lilies)/(Total\ numbers\ of\ flower\ arrangement)

florist\ uses\ lilies\ to\ make\ 1\ identical\ flower\ arrangements = (200)/(8)

Florist uses lilies to make 1 identical flower arrangements = 25

Now calculate lilies for the 6 identical arrangements.

lilies would the florist use to create 6 identical arrangements = 25 × 6

                                                                                                      = 150

Therefore the number of liles uses for 6 identical flower arrangements are 150.

Final answer:

To create 6 identical flower arrangements, the florist would use 150 lilies.

Explanation:

To solve this problem, we can use a ratio. The florist uses 200 lilies to make 8 identical flower arrangements, so the ratio is 200 lilies : 8 arrangements. To find out how many lilies would be used to create 6 identical arrangements, we can set up a proportion and cross multiply:

200 lilies / 8 arrangements = x lilies / 6 arrangements. Cross multiplying gives us 200 * 6 = 8x, which simplifies to 1200 = 8x. Dividing both sides by 8 gives us x = 150. Therefore, the florist would use 150 lilies to create 6 identical arrangements.

Learn more about The number of lilies used to create flower arrangements here:

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If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Answers

Answer:

102

400/4= 100 and 8/4 is 2 sooo 102

When you divide 408 by 4 You will get 102

408/4 =102

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50% of all the cakes Jenny baked that week were party cakes,1/5 were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes?

Answers

Convert 1/5 into a decimal. Which is .20 or 20% and 20+50=70 100-70= 30%

A soft drink manufacturer produces 3120 cans in an 8 hour day. Cans are packaged 24 to a case. How many cases are produced each week? Each month? (Assume one week is 40 hours and one month is four weeks )

Answers

Week:  3120 x 5 = 15,600 cans ÷ 24 = 650 cases

Month: 650 x 4 = 2,600 cases