Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not get a discount.

Answer:

£72

Step-by-step explanation:

100% - 40 = 60%

60/100 = 0.6

0.6 * £120 = £72

40/100 = 0.4

0.4 *  £120 = £48

To check:

£72 + £48 =   £120

Hope that helps!

Answer:

m ∠Y = 39°

Step-by-step explanation:

The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°

Answer:

if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.

Answer: angle DBE & angle ABD and angle EBF & angle FBC

Step-by-step explanation:

complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

[tex]\overline {LP}[/tex] = 5

[tex]\overline {NP}[/tex] = 10

[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15

[tex]\overline {OP}[/tex] = x - 3

[tex]\overline {MN}[/tex] = x + 1

A two column proof is presented as follows;

Statement    [tex]{}[/tex]      Reason

∠L ≅ ∠L     [tex]{}[/tex]        By Reflexive property of congruency

[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex]     [tex]{}[/tex]     Given

∠LOP ≅ ∠LMN [tex]{}[/tex]  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN [tex]{}[/tex]  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex]  = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2

[tex]\overline {OP}[/tex] = 2

[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6

[tex]\overline {MN}[/tex] =  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 is double of 3/4 so you just need to double 9 quarts of grape juice

Answer:

18 quarts of sparkling water

Step-by-step explanation:

9÷0.75=12 to figure how many times the recipe is multiplied.

12x1.5=18 to figure out how much sparkling water

3/4 = 0.75

1 1/2 = 1.5

Introduction to Solving Systems of Equations Theresa and Cary are saving for a printer. Theresa has $10 in the bank and will save $20 each month. Cary has $25 in the bank and will save $15 each month. 1. How much does Theresa have at month #0710 2. How much does Cary have at month #obA 3. Fill in the table for several months. Then graph the data. Use a different color for each girl's table values and graph. Label and scale the axes appropriately Theresa Ca Total Total Month # | Month # | savings in $ (x) savings in $ 0 0 2 2 5 6 6 S 7 4. Write an equation that represents Theresa's savings. yoxtl 5. Write is an equation that represents Cary's savings. tS Which girl is saving at a faster rate? Justify your answer by referring to the 6. table, the graphs, and the equations. 7. At which months does Theresa have more money? 8. At which months does Cary have more money? 9. At which month do they have the same amount of money? What do you notice about the graphs at this month? Introduction to Solving Systems of Equations con... Two friends, Malcolm and Zeke, are going to the park that is near their school. They leave at the same time from different locations. Malcolm is 30 meters from the school on his way to the park, and he is walking at the rate of 1 meter per second. Zeke is at school and will jog to the park at a rate of 4 meters

Answer:

Step-by-step explanation:vdcdcdcdcdc

Answer:

hello :) the answer is 30 m/s

Answer:

30m/s

Step-by-step explanation:

Convert km to m:

108 —> 108000

Convert hr to s

1 —> 3600

Now put them back into their place in the fraction: 108000/3600

Simply the fraction: 30m/s

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

Answer: 15.66

Step-by-step explanation:

Answer:

Step-by-step explanation:

The numbers are either side from 1/10

To the left:

To the right:

Answer:

$5.60

Step-by-step explanation:

20 ÷ $50 = .4

Each wing is $0.40,

.4 × 14 = $5.60

good luck & i hope this helps :)

Step-by-step explanation:

Volume is calculated by finding out the product of length, width and height so

the correct option is B.

B. The volume is the product of the area of the base, 3x(3x + 4) and the height, 3x - 1.

Hope it will help :)

Answer:

you have 8.5 pounds of fish

Step-by-step explanation:

1/2 =0.5 and 0.5 ×16 =8

and thata will leave one half left which means you will have 8.5 pounds of fish the pizza one  i'm not too sure about you would have to tell how much sauce there is supposed to be per pizza then i would be able to answer.

Hope this helps

Answer:

Well if you deposit something you won't have it so negative. If you earn something then it is positive. So it is negative

Step-by-step explanation:

:)

Answer:

2/1 I think but i don't know

Answer:

7 cookies

Step-by-step explanation:

42 - 35 = 7

Step-by-step explanation:

......... Understood.................

Answer:

-50 m

Step-by-step explanation:

its negative elevation because he is going down

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Answer:

Explanation:

|4b + 4| = |2b + 8|

Solve absolute value

|4b + 4| = |2b + 8|

Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)

4b + 4 = 2b + 8 (Possibility 1)

4b + 4 − 2b = 2b + 8 − 2b (Subtract 2b from both sides)

2b + 4 = 8

2b + 4 − 4 = 8 − 4 (Subtract 4 from both sides)

2b = 4

2b / 2 = 4 / 2 (Divide both sides by 2)

b = 2

4b + 4 = −(2b + 8) (Possibility 2)

4b + 4 = −2b − 8 (Simplify both sides of the equation)

4b + 4 + 2b = −2b − 8 + 2b (Add 2b to both sides)

6b + 4 = −8

6b + 4 − 4 = −8 − 4 (Subtract 4 from both sides)

6b = −12

6b / 6 = -12 / 6 (Divide both sides by 6)

b = -2

Answer and Step-by-step explanation:

The point will be (7, 10).

#teamtrees #WAP (Water And Plant)

The image of the point M is M' = (10, 7) as shown in the graph below.

One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given data:

Coordinates of point M = (-10, -7)

Rotation to be given = 180° (counter - clockwise)

For drawing the image of point M (-10, -7):

Step 1: Create a line connecting the origin to the point M (-10, -7) and extending across the third and first quadrants.

Step 2: Modify the x and y coordinates signs to reflect the 180° rotation, then mark the point in the first quadrant.

The image of the point M is M' = (10, 7) as shown in the graph below.

Hence, the image of the point M is M' = (10, 7).

To learn more about Coordinate Geometry, click:

brainly.com/question/7869125

#SPJ2

[tex]{ \large{➢ \: \: \bf{x = - 8}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = 3 \times - 8 + 34}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = - 24 + 34}}}[/tex]

[tex]{ \large{ \bf{ ➢ \: \: \cancel{2}y = 3 \times { \cancel{(10)} {} \: \: ^{5} }}}}[/tex]

[tex]{ \large{ \therefore{ \bf{y = 15 \: \: Ans.}}}}[/tex]

Answer:

I think the answer would be the very first one.

they all need to have '' ( ) '' in them.

if a number is outside of that, it needs to at least have a letter beside the number

here's an example

Factored form:

2x(x + y)

not factored:

2(x - y)

but for the first one, it's correct from the rest of them.

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)

Answer:

150 = 0.50y + 1.00x

Step-by-step explanation:

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

Answer:

I think of scoring 6 goal

Answer:

approximately 12

Step-by-step explanation:

17 divided by 6 is 2.83333333 (it keeps going) 2.833333 rounded to the nearest whole number is 3 so if rodrigo scores approx 3 goals a game for 4 games it would be 12