All categories

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

47 + 70 + 9p = 180

117 + 9p = 180

Subtract 117 from both sides

9p = 63

Divide both sides by 9

p = 7

Arte-miy333 [17]3 years ago

5 0

Step-by-step explanation:

47+70+9p=180

=117+9p=180

180-117=9p

63=9p

7=p

You might be interested in

Write an algebraic expressions for the. Word phrase the quotient of r r <br>and 12

MariettaO [177]

The answer would be r÷12

4 0

4 years ago

A chemist mixes 175 millilters of solution that is 62% acid with 75 milliliters of pure acid. What percentage of the resulting M

Anton [14]

Answer:

73.4%

Step-by-step explanation:

The ratio of acid to mixture volume is ...

(0.62·175 +1.00·75)/(175 +75) = 183.5/250 = 0.734 = 73.4%

73.4% of the resulting mixture is acid.

3 0

3 years ago

Look at the right triangle ABC:

prisoha [69]

Answer:

The first incorrect justification is in step 2.

Step-by-step explanation:

<u>Step 2</u>. BC2 = AC • DC

2. BC ÷ DC = BC ÷ AC because triangle ABC is similar to triangle BDC

It's supposed to be AC ÷ BC not BC ÷ AC.

8 0

4 years ago

In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0

3 years ago

Rewrite by completing the square 2x^2+7x+6=0

Kitty [74]

Answer:

$2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0$

6 0

4 years ago