A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag?

Answer:

[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]

Answer:

7 + 3 sqrt 2

7 - 3 sqrt 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a). m∠a = 62°

b). m∠b = 118°

Step-by-step explanation:

a). Since, an angle inscribed in a semicircle is a right angle,

  m∠ACB = 90°

  By triangle sum theorem in ΔABC,

  m∠CAB + m∠ACB + m∠ABC = 180°

  28° + 90° + m∠ABC = 180°

  118° + m∠ABC = 180°

  m∠ABC = 180°- 118°

  a = 62°

b). Since, quadrilateral ABCD is a cyclic quadrilateral,

   m∠ADC + m∠ABC = 180°

   b + a = 180°

   b + 62° = 180°

   b = 180° - 62°

   b = 118°

Answer:

1 = 50°,  2 = 130°,  3 = 50°,  4 = 130°,  5 = 40°,  6 = 140°,  7 = 90°,  8 = 140°

Step-by-step explanation:

The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.

Angle 1: 180 - 90 - 40 = 50°

Angle 2: 180 - 50 = 130°

Angle 3: 180 - 130 = 50°

Angle 4: 180 - 50 = 130°

Angle 5: 180 - 90 - 50 = 40°

Angle 6: 180 - 40 = 140°

Angle 7: 180 - 90 = 90°

Angle 8: 180 - 40 = 140°

It's a little complicated, but I hope this helps!

Answer:

Step-by-step explanation:

first question is -1

and i think the sec option is  13/3+y/3 i think im wrong on the sec option

Answer:Number of regular tickets=785

Number of VIP tickets=25

Step-by-step explanation:

Step 1

Cost of Regular tickets=34.50

Costs VIP tickets =78.50

Total tickets sold =810

Cost of both rockets sold=29,045

Using the the given equation that 34.50r + 78.50 (810-r)= 29,045 to determine the number of regular tickets, we have that

Step 2---Solving

34.50r + 78.50 (810-r)= 29,045

34.50+63,585 - 78.50r=29,045

63585-29045=78.50r-34.50r

34,540=44r

r=34540/44

r=785=Number of regular tickets

Number of regular tickets+Number of VIP tickets =810

Number of VIP tickets=810-785=25

Answer:

x= 90-60

x=30

Step-by-step explanation:

Answer:

30° is the answer because its a right angle

Step-by-step explanation:

can you mark me brainliest? thank you

Answer:

-5÷17, -5/17, 5/-17

Step-by-step explanation:

Answer:

-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

Solve for x  

5 (x − 2) = 3 (x − 4) − 14  

5x − 10 = 3 (x − 4) − 14

5x − 10 = 3x − 12 − 14

5x − 10 − 3x  = −26

2x  = −26 + 10

2x  = −16

x = −8

Answer:

answer of this equation is (-8)

:-))

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

Answer: 5(x+5)

Step-by-step explanation:

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

9514 1404 393

Answer:

  250,000

Step-by-step explanation:

The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...

  250,000

Answer:

c=72

Step-by-step explanation:

8

=

9

8

⋅

8

=

8

⋅

9

Answer:

91

Step-by-step explanation:

For questions like these, you multiply the denominator times what it equals

Like in this case you do 8x9

I hope this helps!

9514 1404 393

Answer:

  f(g(x)) = 50x² +140x +93

Step-by-step explanation:

Put the function argument in place of x and simplify.

  f(g(x)) = f(5x+7) = 2(5x+7)² -5

  = 2(25x² +70x +49) -5

  f(g(x)) = 50x² +140x +93

_____

We took advantage of the knowledge that ...

  (a + b)² = a² +2ab +b² . . . . . where a=5x and b=7

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

a = 2 ; b = 4

4a + 2b² - 2(a -3b) = 4*2 + 2(4)² - 2 (2 - 3*4)

                             = 4*2 + 2*16 - 2(2 -12)

                            = 4*2 + 2*16 - 2* (-10)

                             = 8 + 32 + 20

                             = 60

Answer:

£32 : £96

Step-by-step explanation:

add the parts of the ratio, 1 + 3 = 4 parts

Divide the amount by 4 to find the value of one part of the ratio

£128 ÷ 4 = £32 ← value of 1 part of the ratio, then

3 parts = 3 × £32 = £96

£128 in the ratio 1 : 3 is £32 : £96

The amount, £128 when divided in the ratio 1:3 is; £32: £96.

We are required to divide in the ratio 1:3;

Therefore, we must divide the total by (1+3); so that we have;

Therefore, each unit is £32 and 3× £32 = £96.

The amount, £128 when divided in the ratio 1:3 is therefore; £32: £96.

Read more on Ratios;

https://brainly.com/question/13513438

Answer:

6 pieces

Step-by-step explanation:

Since Mr. Michaels need to cut down the 8 inch long boards into pieces that are 1¹/₃ inches long, the number of pieces he can cut out from the 8 inch long board that are 1¹/₃ inches long is 8 ÷ 1¹/₃ = 8 ÷ 4/3

= 8 × 3/4

= 2 × 3

= 6

So, Mr. Michaels can cut 6 pieces that are 1¹/₃ inches long from the 2 inches wide and 8 inches long board.

Answer:

(a)

[tex]b = 6[/tex] and [tex]a = 5[/tex]

(b) [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,2)[/tex]

[tex](x_2,y_2) = (4,b)[/tex]

[tex](x_3,y_3) = (a,8)[/tex]

[tex](x_4,y_4) = (6,10)[/tex]

See attachment

Solving (a): The values of a and b

First, calculate the slope of the line:

[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]

Let c = 4 and d = 1

[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]

So, we have:

[tex]m = \frac{10 - 2}{6 - 2}[/tex]

[tex]m = \frac{8}{4}[/tex]

[tex]m = 2[/tex]

To solve for the value of b, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 2 and d = 1

So, we have:

[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]

[tex]\frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2

[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]

[tex]b - 2 = 4[/tex]

Add 2 to both sides

[tex]b - 2 +2= 4 + 2[/tex]

[tex]b = 6[/tex]

To solve for the value of a, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 3 and d = 1

[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]

[tex]\frac{8 - 2}{a- 2} = 2[/tex]

[tex]\frac{6}{a- 2} = 2[/tex]

Cross Multiply

[tex]2(a-2) = 6[/tex]

Open bracket

[tex]2a-4 = 6[/tex]

Add 4 to both sides

[tex]2a-4+4 = 6+4[/tex]

[tex]2a= 10[/tex]

Divide both sides by 2

[tex]a = 5[/tex]

Solving (b): The value of y when x = 0.

This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]

Apply slope formula

[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex]   [tex](x_5,y_5) = (x,0)[/tex]

[tex]\frac{0 - 2}{x - 2} = 2[/tex]

[tex]\frac{- 2}{x - 2} = 2[/tex]

[tex]-\frac{2}{x - 2} = 2[/tex]

Cross Multiply

[tex]-2 = 2 * (x - 2)[/tex]

[tex]-2 = 2 x - 4[/tex]

Collect Like Terms

[tex]4 - 2 = 2x[/tex]

[tex]2 = 2x[/tex]

Divide both sides by 2

[tex]1 = x[/tex]

[tex]x = 1[/tex]

Answer:

Mm I didn't get the picture

Answer is : Step-by-step explanation:

Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number.

So cube root of 21,952 will be 28.

Reference link will be.

brainly.in/question/4396403.

hope it helps

Answer:

176.

Step-by-step explanation:

112 = 2*2*2*2*7

For a cube number there must be 3 or a multiple of 3 of each factor.

So we multiply  by 2*2 and 7 * 7 to give 2^6 * 7^3 which is 21952.

The answer is 4*49

= 176.

Checking that 21952 is a cube:

- the cube root is 28,

Answer:

1920

Step-by-step explanation:

Each time you multiply by to 6 times. 30 does not count as a year.

Answer: 6.7inch

Step-by-step explanation:

From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.

The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:

= 67/10

= 6.7inch

Answer:

19.4

Step-by-step explanation:

16^2+11^2=377

then square 377 which will equal to

19.416 which can be rounded up to 19.4

Answer:

A.

Step-by-step explanation:

Combine 7 and -3 to get 4

4+7xy is the answer

Answer:

Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy

Step-by-step explanation: