Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.

Answer:

38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Step-by-step explanation:

38. Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

38 + 110 + <2 = [tex]180^{o}[/tex]

148 + <2 = [tex]180^{o}[/tex]

<2 = [tex]180^{o}[/tex] - 148

<2 = [tex]32^{o}[/tex]

Thus,

<1 = [tex]38^{o}[/tex] (alternate angle principle)

<3 = [tex]110^{o}[/tex]

Therefore;

<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <2 = [tex]28^{o}[/tex] (alternate angle principle)

So that;

sum of angles in a triangle = [tex]180^{o}[/tex]

<1 + <2 + 81 = [tex]180^{o}[/tex]

<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]

<1 + 109 = [tex]180^{o}[/tex]

<1 = [tex]180^{o}[/tex] - 109

   = [tex]71^{o}[/tex]

<1 = [tex]71^{o}[/tex]

<3 = [tex]81^{o}[/tex]

<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Answer:

14

Step-by-step explanation:

if you plug in 9 for x in the equation x+5, you get 9+5

9+5=14

Answer:

14

Step-by-step explanation:

If it is x+5 and x=9 it is the as

9+5=14

So it would be 14, you just need to plug in the x

Answer:

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Step-by-step explanation:

Given the expression

[tex]\sqrt{27x^2y^2}[/tex]

simplifying the expression

[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

               [tex]=\sqrt{27}x\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                [tex]=\sqrt{27}xy[/tex]

                [tex]=xy\sqrt{3^3}[/tex]

                 [tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=3xy\:\sqrt{3}[/tex]

Therefore,

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Answer:

Criag has 4 dimes and 8 nickles

Step-by-step explanation:

1 dime = 10 cents

1 nickle = 5 cents

4 dimes = 40 cents

8 nickles = 40 cents

40 cents + 40 cents = 80 cents

8 - 4 = 4

therefore it is equivelent that criag has 4 dimes and 8 nickels.

Answer:

30ml

Step-by-step explanation:

200ml * 15%

200ml * 0.15

= 30

There are 30 ml in the 1st hand sanitizer

Answer:

30 m l

Step-by-step explanation:

15%=0.15

200 divided by 0.15 is 30.

So therefore,

the answer is 30 ml.

Answer:

4.5

Step-by-step explanation:

Answer:

.81818181818

Step-by-step explanation:

9/(2+9)

9/11

.81818181818

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation

Step-by-step explanation:

I distributed 2(4x-5)

5x+3x=20x-10-2

Sub 3x for 20x

5x=17x-10-2

Sub -10-2

5x=17x-12

Sub 5x-17x

12x=-12

Divide

Equals -1

Sry it took me a bite

There are 9 other CD's of a different genre.

Answer:

27 because you have to multipli and then divide

Answer:

about 93 weeks

Step-by-step explanation:

divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks

Answer: Scale Factor = 3

Step-by-step explanation:

The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)

Answer:

18-3n

Step-by-step explanation:

18-3(1)=15

18-3(2)=12

etc

etc

Answer:

Step-by-step explanation:

Given triangle ACD

Perimeter is sum of the side lengths:

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

Then P is:

Find the value of x from the AB = BC:

Then find the value of P:

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

Answer:

54.23

Step-by-step explanation:

i just divided in calculator

Answer:

The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

Step-by-step explanation:

Answer:

it should be B, sorry if im wrong! :(

Step-by-step explanation:

Answer:

4 3/7

Step-by-step explanation:

Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7

Answer:???

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

x•y-z²

x=9,y=14,z=6

9 • 14 - 6²

126-36=90

Answer:

A.) i think it's (-2, -1)

B.) ?

Step-by-step explanation:

I am very sorry if they are wrong....i don't know B..sorry

Answer:

b = (-1,0) (-3,0)

Step-by-step explanation:

Answer:

7:18

Step-by-step explanation:

Chris attempted a total of 25 shots

He made 18 shots

Number of shots missed= 25-18

= 7

Therefore the ratio of shots missed and shots made can be calculated as follows

7:18

Hence the ratio is 7:18

Answer:

I think x=-25

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3is tha answer of pair of shoes..

am i rght

Answer:

3

Step-by-step explanation:

3 is right answer because it is largest pair of number

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:  

Step one:  

given data

Number of Animals = 40

The given ratio is = 4:2:3:1  

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal  

4/10=x/40

cross multiply  

10x= 40*4  

divide both sides by 10

x= 160/10

x= 16

for second we have  

2/10=x/40

cross multiply  

10x= 40*2  

divide both sides by 10

x= 80/10

x= 8

for the third  we have

3/10=x/40  

cross multiply  

10x= 40*3  

divide both sides by 10

x= 120/10

x= 12

for the fourth  we have

1/10=x/40  

cross multiply  

10x= 40*1  

divide both sides by 10

x= 40/10

x= 4

Answer:

315

Step-by-step explanation:

So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.

Since you want to find the number of adults, just multiply.

7/18 x 810

You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying

7 x 45

=315

So, 315 is your answer

Answer: 315 Adults.

Step-by-step explanation:

Let the number of adults is x.

Then the number of kids is (810-x).

The ratio of kids to adults is

810 - x/x = 11/7

It is your basic equation, which you get from the condition.

To solve it, cross multiply; then simplify

7*(810-x) = 11x

7*810 - 7x = 11x

7*810 = 11x + 7x

7*810 = 18x

x = 7 x 810/18 = 315.