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3 years ago

Solve the quadratic equation by the square root property. (2x + 5)2 = 49

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

This is all if you don't solve as a quadratic equation.

Look at the other answer.

Answer:

x = 9.75

Step-by-step explanation:

Step 1. Distribute the 2(Do 2 times 2x and 2 tiems 5)

4x + 10 = 49

Step 2. Subtract 10 from both sides.

4x = 39

Step 3. Divide it all by 4 to isolate the variable.

x = 9.75

Anon25 [30]3 years ago

3 0

Answer:

x=1 and x=-6

Step-by-step explanation:

(2x + 5)^2 = 49

Take the square root of each side

sqrt((2x + 5)^2) = ±sqrt(49)

2x+5 = ±7

Subtract 5 from each side

2x+5-5 = 7-5 2x+5-5 = -7-5

2x = 2 2x =-12

Divide by 2

2x/2 =2/2 2x/2 = -12/2

x =1 x = -6

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If you know that 84 is 70% of the whole, explain how you can use proportional reasoning to determine the whole. Use the drop-dow

Akimi4 [234]

Answer: The value of whole is 120.

Step-by-step explanation:

Since we have given that

84 is 70% of the whole.

Let the whole be 'x'.

According to question, it becomes,

$84=\dfrac{70}{100}\times x\\\\84=0.7\times x\\\\\dfrac{84}{0.7}=x\\\\120=x$

So, we have use the proportion i.e. $\dfrac{84}{70\%}=\dfrac{84}{0.7}$ to determine the value of whole.

Hence, the value of whole is 120.

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3 years ago

Read 2 more answers

you purchase 2 action figures a week. you have 48 action figures, which is 75% of the total number of action figures you need to

notka56 [123]

Answer:

8 weeks

Step-by-step explanation:

48 is 75%

x is 100%

48×100=4800

75x=4800

x=4800:75

x=64

64-48=16

16:2=8

Answer is 8 weeks

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3 years ago

She has 7 initiatives and wants to put 2 stickers on each. She has 10 stickers. How many more stickers does she need?

Zina [86]

Answer:

Step-by-step explanation:

If she wants to put 2 on each invitation, then we multiply the amount of invitations she has by the amount of stickers going on each invitation. 7 times 2 is 14.

She has 10 stickers, and she needs 14 in total, so we subtract 10 from 14 and we get 4.

In conclusion, the girl needs 4 sticks more

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3 years ago

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy

tia_tia [17]

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

6 0

3 years ago