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Vikentia [17]
2 years ago
7

Solve the equation by completing the square.

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

Answer:

<u>A</u>

Step-by-step explanation:

You might be interested in
Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1
ElenaW [278]
<h2>Hello!</h2>

The answers are:

A.

\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

<h2>Why?</h2>

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

\frac{5}{6} and \frac{10}{12}

We have that:

\frac{10}{12}=\frac{5}{6}

So, we have that the pairs of numbers

\frac{5}{6}

and

\frac{5}{6}

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

\frac{6}{7} and 1\frac{5}{7}

We have that:

1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}

So, we have that the pair of numbers

\frac{6}{7}

and

\frac{12}{7}

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

\frac{3}{2},\frac{2}{3}

and

3\frac{1}{2},4\frac{4}{4}

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

A.

\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

Have a nice day!

3 0
3 years ago
6 - 2y + (-8y) + 5.1 = 0<br> (Simplify your answer. Use integers
Nadusha1986 [10]

Answer:

Simplified answer = 11.1 - 10y = 0

y = 1.11

Step-by-step explanation:

6 - 2y + (-8y) + 5.1 = 0

6 + 5.1 -2y -8y = 0

Add like terms

11.1 - 10y = 0

(This is simplified, but if you want to solve for y, continue)

11.1 - 10y = 0

÷10  ÷10

1.11 - y = 0

y = 1.11 because 1.11 - 1.11 is 0

I Hope That This Helps!

8 0
3 years ago
33+34+35+36+...+104 what is the sum of the sequence?
Ray Of Light [21]
This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}
6 0
4 years ago
Toms banks baleances at the end of the months 1,2,3 are 1600 ,1664,1730.56 what will toms balance be at the end of month 5
Sergeeva-Olga [200]

Answer:

Tom's balance at the end of month 5 = 1,871.77

Step-by-step explanation:

a = 1600

ar = 1664

ar² = 1730.56

common ratio, r = ar/a

= 1664/1600

= 1.04

r = 1.04

what will toms balance be at the end of month 5

Month 5 = ar⁴

= 1600 * 1.04⁴

= 1600 * 1.16985856

= 1,871.773696

Approximately 1,871.77

Tom's balance at the end of month 5 = 1,871.77

5 0
3 years ago
Cost of a sled:$99.50<br> Markup:95%<br> find the selling price
Degger [83]
Take wholesale cost and multiply it by 95%, then add to the original value
another way, just multiply by 1.95

Retail cost:  1.95*($99.50) = $194.03
8 0
3 years ago
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