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ozzi
3 years ago
13

2.

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
He works 40 hours a week.
SIZIF [17.4K]3 years ago
5 0
The answer is 40 if you divide 480 by 12 you’ll get 40
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Select the two values of x that are roots of this equation.
makkiz [27]

Answer:

\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • A quadratic equation is given to us.
  • The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>

\implies 2x^2 + 7x +6=0

Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

  • And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>

\implies 2x^2 + 3x+4x +6=0

Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>

\implies x(2x + 3) +2(2x +3)=0

\implies ( x +2)(2x+3)=0

Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>

\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>

5 0
2 years ago
A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenth
g100num [7]
Well C=Dπ so C=17 x 3.14 = 53.38 which is rounded to 53.4
3 0
3 years ago
Need help please!
dimulka [17.4K]

(1) QS bisecting <PQR implies <PQS = <SQR

(2) <PQS=45 deg and (1) imply <SQR also = 45 deg

(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled

5 0
3 years ago
Lucia has 18 pieces of ribbon that she uses to decorate presents. One ribbon's length is 5/6 of a yard. How many yards of ribbon
suter [353]

Answer: 15 yards

Step-by-step explanation:

From the question, we are given the information that Lucia has 18 pieces of ribbon that she uses to decorate presents and that the length of one ribbon is 5/6 of a yard.

Therefore, the number of yards of ribbon that Lucia has will be gotten by multiplying 5/6 by the total pieces of ribbon. This will be:

= 5/6 × 18

= 15 yards

4 0
2 years ago
I craft store retailer uses a markup rate of 65%. A scrapbook kit cost three retailer $20 I did. What is the selling price of th
Alinara [238K]

Answer

Find out the  selling price of the scrapbook kit .

To prove

As given

I craft store retailer uses a markup rate of 65%.

A scrapbook kit cost $20 .

Than 65% is written in the decimal form.

= \frac{65}{100}

= 0.65

Mark up price = 0.65 × 20

                       = $ 13

Selling price of Scrapbook kit = Cost of Scrapbook kit + Mark up price.

                                                 = 13 + 20

                                                = $33

Therefore the  the selling price of the scrapbook kit $33.

4 0
3 years ago
Read 2 more answers
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