Find the values of a and b. The diagram is not drawn to scale.

Answer:

reserved tickets = 6 and general admissions tickets = 15

Step-by-step explanation:

[tex]25r + 10g = 150[/tex]

Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.

Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g

[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]

divide both sides by 10

[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]

Now set g equal to zero since he isn't buying any general tickets. Solve for r.

[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]

divide both sides by 25

[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

Answer:

x = 7°

Step-by-step explanation:

∠WST is an exterior angle of the triangle

The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles

Solve:

(5x - 1) + (57) = (12x + 7)

5x - 1 = 12x - 50

-1 = 7x - 50

49 = 7x

x = 7

-Chetan K

Answer:

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.

Answer:

1. 2025

2. 737

3. 1365

4. 866

5. 923

6. 1662

7. 2013

8. 1562

9. 2400

Step-by-step explanation:

These are the answer

Answer:

108

Step-by-step explanation:

A linear pair adds to 180 degrees

<C + <F = 180

3x+ 3x+18 = 180

6x+18 =180

6x+18-18= 180-18

6x =162

6x/6 =162/6

x=27

<F = 3x+18 = 3(27)+18 =81+27 = 108

There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.

_______

RainbowSalt2222 ☔

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]

[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

Answer:

1, 6, and -5

make it 0

Answer:

2x^2+5x-3

Step-by-step explanation:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:  12

Step-by-step explanation:

A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45.  Two 45 degree angles in a right triangle means that the two sides will be equal.  So we can find the hypotenuse, x, by:

(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²

(6[tex]\sqrt{2}[/tex])² = 36*2 or 72

72 + 72 = x²

x² = 144

x = 12

Answer:

Step-by-step explanation:

If two lines are parallel, then there is no intersection and therefore no solutions.

Correct choice is D

Answer:

D. The system of equations does not have one solution because the lines will never intersect.

edg2021Unit Test

Step-by-step explanation:

Answer: 4.125

Step-by-step explanation: just divide it but 4 and thats how i got it

Step-by-step explanation:

the slope is -3

that is the answer

Answer:

m = 3/-6

Step-by-step explanation:

Look at attached photo

Answer:

38

Step-by-step explanation:

No. of yellow envelopes she has

= 6-2

= 4

No. of green envelopes she has

= 7×4

= 28

Total number of envelopes she has

= 6+4+28

= 38

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

y = (x - 4)/x = x/x - 4/x = 1 - 4/x

c = 1

r = -4

done ...

Answer:

0.375

Step-by-step explanation: All you need to do is divide 3 and 8

Answer:

4 7/12

Step-by-step explanation:

Answer:

9261

Step-by-step explanation:

Substitute -3 for a and -12 for b in (a - 2b)^3:

(-3 - 2·-12)^3, or

(-3 + 24)^3, or

21^3 = 9261 (answer)

Answer:

12.7272

Step-by-step explanation:

subtract 10 on both sides

divide by 11 on both sides 11/11>140/11

Answer:

x=130

Step-by-step explanation:

11x+10>=150

11x>= 150-10

11x>=140

x>=140-11

x>=129

so, because "x" is bigger than 129,

so, x=130

Answer:

I say true

Step-by-step explanation:

How to calculate discount and sale price:

Find the original price (for example $90 )

Get the discount percentage (for example 20% )

Calculate the savings: 20% of $90 = $18.

Subtract the savings from the original price to get the sale price: $90 - $18 = $72.

And You're all set!

Answer:

False

Step-by-step explanation:

Sale price = original price - rate of discount * original price

Rate of discount is a percent  so we need to multiply by the original price to get a a price so that all the units are the same.

Answer:

I think -1(20+16)= -1(36)= -36

Answer:

Step-by-step explanation:

-20 - 16

=> -36.

Unfortunately, there is no option of -36. Please include -36 in one of the options.

If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67

The given function is:

[tex]g(x)=x^4-3x^3-x[/tex]

The derivative of the function g(x) is calculated below

[tex]g'(x)=4x^3-9x^2[/tex]

The question indicates that g'(x) = 12

This means that we are going to equate the derivative of g(x) gotten above to 12

[tex]4x^3-9x^2=12[/tex]

Solving the cubic equation above

The only real valid value of x is 2.67

Therefore, the value of x such that g′(x)=12 is x = 2.67

Learn more here: https://brainly.com/question/25754111

amys share would be 45:30 so amys is 45 and marys 30

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

__

Check

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

  -57 +100 = 43 . . . . . true