Gio wants to serve salad at the party. He will need one head of lettuce for every 6 guests who attend. Write an algebraic expression Gio could use to determine how much lettuce he needs. Gio finds out 18 people are coming to the party. Evaluate the expression for 18 guests

Answer: £611.23

Step-by-step explanation:

The tv is depreciating at a rate of 2% per year. At this rate, the value after 6 years can be acquired using the future value formula:

= Current price * (1 + growth rate) ^ no. of years

Growth rate is negative because it is depreciating:

= 690 * (1 - 2%)⁶

= ‭611.23124279616‬

= £611.23

Answer:

a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Step-by-step explanation:

Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Answer:

*2.5

Step-by-step explanation:

15*2.5=37.5

7*2.5=17.5

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

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Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

Answer:

The area of the rectangle is 420 square inches

Step-by-step explanation:

By adding the diagonals, we have a total of

18.5 * 2 = 37 inches

We can apply Pythagoras’ theorem to get the other side of the triangle

It states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the other side measure x inches

Thus;

37^2 = 12^2 + x^2

x^2 = 37^2 - 12^2

x^2 = 1225

x = √1225

x = 35 inches

So the area of the triangle would be;

35 * 12 = 420 square inches

Answer:

420

Step-by-step explanation:

Answer:

x = 68°

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The ray WD bisects ∠ZWN

→ That means it divides the angle into two equal angles, ∠ZWD and ∠DWN

∴ m∠ZWD = m∠DWN

∵ m∠ZWD = 5v - 7

∵ m∠DWN = 4v + 8

→ Equate the measures of the two angles

∴ 5v - 7 = 4v + 8

→ Add 7 to both sides

∵ 5v - 7 + 7 = 4v + 8 + 7

∴ 5v = 4v + 15

→ Subtract 4v from both sides

∵ 5v - 4v = 4v - 4v + 15

∴ v = 15

∵ x = m∠ZWD

∴ x = 5v - 7

→ Substitute v by 15

∵ x = 5(15) - 7

∴ x = 75 - 7

∴ x = 68°

Answer:

Step-by-step explanation:

1. Not

2. Yes

3. not

Answer:

17 miles

Step-by-step explanation:

If Heidi starts out by traveling 15 miles south, then y = -15 miles

If she then turns and rides 8 miles east, then x = +8miles

The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;

d = √(-15)²+8²

d = √225+64

d = √289

d = 17miles

Hence her distance from her starting position to her tent is 17 miles

Answer:

Your answer will be A have a good day :)

Step-by-step explanation:

A - 1 = 1 and B is 1

Answer:

x = 16hours

Step-by-step explanation:

Given

Total number of hours to watch the television a week is 2 hours, that is;

2hours =1 week

We are to find the number of hours to watch in eight weeks to meet the goal

x hours = 8 weeks

Divide both expressions;

2/x = 1/8

Cross multiply

1 * x = 2*8

x = 16

Hence he will use 16hours to watch the television in 8 weeks

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Answer: B

Step-by-step explanation:

If the other one is 48 then this one must be 42 i think

Answer:

y - 12 = 3(x - 5)

Step-by-step explanation:

Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21.  Thus, the slope of this line is m = rise / run = 21/7 = 3.

Using the point-slope formula y - k = m(x - h), we get:

y - 12 = 3(x - 5)

Answer:

A=21

Step-by-step explanation:

4 decilitres= 0.4 litres

8.4/0.4=21

Answer:

-8/13

Step-by-step explanation:

The slope of (-6,5) and (7,-3) is -8/13.

Answer: pretty sure it’s -8

Step-by-step explanation:

I used the slope formula which is:

m= y2-y1/x2-x1

m= -3-5/7-6

m= -8/1

m= -8

Answer:

35

Step-by-step explanation:

i pretty sure

Hey again!

The answer to your question is 122.5 feet²

We can find the dimensions of the new figure:

2 x 3.5 = 7

5 x 3.5 = 17.5

Area = length x width, so 7 x 17.5 = 122.5

Hope it helps!

Answer:

1/2 inch: 3 feet

Step-by-step explanation:

It says in the bottom right corner.

Answer:2tt

Step-by-step explanation:

huh

Answer:

solving form; m< -12  

Step-by-step explanation:

On a linear graph there would be an open circle on the number -12 and the line would be pointing left

Answer:

he's 20 now

Step-by-step explanation:

add 12 and 8

The present age of Marcus will be 8 years now.

The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.

Marcus was 12 years old eight years ago. Marcus' age as of right now will be determined as follows:

x - 8 = 12

x = 12 + 8

x = 20 years

Therefore, the present age of Marcus will be 8 years now.

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Answer:10

Step-by-step explanation:

Answer:

the answer is b 10<m<14 your welcome have a great day hope this helps

Answer:

The answer is A . 4<m<24

Step-by-step explanation:

m+10>14

m>4

14+10>m

m<24

Answer: n= -35

Step-by-step explanation: N= 7(-5) =-35

Answer:

37) the answer to that is 89 - 66= 23 add the angles frm 40 degree half which is

20+46= 66 and the other angle is not 90 but 89 so minus one frm 90 which is 89- 6= 23 degree

38)