Juan wants to eat fewer than 800
Calories at lunch. The table shows the
menu at the school cafeteria with the
Calorie totals listed for each item. Find
two different meal options for Juan to
choose for lunch. Then find the cost for
each meal.

Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9

Answer:

16 square feet

Step-by-step explanation:

Base: 2 * 2 = 4

Side: 2 * 3 / 2 = 3

4 sides = 3 * 4 = 12

Base + sides = 12 + 4 = 16

Answer:

3 scoops for $3.69  is better deal.

Step-by-step explanation:

Given that,

There are 3 deals to buy icecram.

3 scoops for $3.69  

2 scoops for $2.69  

1 scoop for $1.79

We can find the cost of 1 scoop for each deal. So,

First deal,

1 scoop = 3.69/3 = $1.23

Second deal,

1 scoop = 2.69/2 = 1.345

We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.

Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

Answer:

$4

Step-by-step explanation:

Answer:

2/3 of 27=18 km

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

(-3.2) + (-2.8)

-3.2 - 2.8

= - 6

answer is negative so false

Answer: kimi is 22

Step-by-step explanation:

Answer:

Kimi is 11 years old

Step-by-step explanation:

We can read 'twice Kimi's age' as Kimi's age times 2 and

'14 years younger' as  minus 14.

Our equation is

2(Kimi's age)-14= Marcus' age

Since Marcus is 8:

2(Kimi's age)-14= 8

Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.

First we add 14 to both sides

2(Kimi's age)-14(+14)= 8(+14)

2(Kimi's age)= 22

Then we divide by 2

2(Kimi's age)/2= 22/2

Kimi's age=11

Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.

Answer:

The answer is true

Step-by-step explanation:

Think of it this way, when x and y are approaching positive infinity, infinity (lets say the initial coordinate value is (5,8), infinity will always be greater than 5

Hope that helps :)

Answer:

Option (C)

Step-by-step explanation:

Given inequalities are,

81 > x and x > 68

Therefore, 81 > x > 68 is the inequality representing the solution area for x.

Out of x = 88, 85 and 80,

x = 80 will lie between the range of x = 68 and x = 81.

Therefore, Option (C) will be the correct option.

Answer:

0.85c

Step-by-step explanation:

To simplify the expression, subtract like terms:

c - 0.15c

= 0.85c

So, the simplified expression is 0.85c

Answer:

25

Step-by-step explanation:

hope i helped, if u have any additional questions feel free to reply here or msg me on ig (/craxzyx) !! <3

25 iS THE ANSEWR SO NOW JUST ROUND

Answer: 384,700,000,000

Step-by-step explanation:

Answer:

20-20+3847x1,00,000,000 =

348699999982

Step-by-step explanation:

lol not me

Answer:

3 flowerbeds and 5 lawns.

Step-by-step explanation:

I promise.

Answer:

Proved

Step-by-step explanation:

Given

The attached table

Required

Prove that Lydia is incorrect

Firat, calculate the slope (m)

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

Where:

[tex](x_1,y_1) = (5,19)[/tex]

[tex](x_2,y_2) = (4,15)[/tex]

So, we have:

[tex]m = \frac{15 - 19}{4 - 5}[/tex]

[tex]m = \frac{-4}{-1}[/tex]

[tex]m=4[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x-x_1)[/tex]

Where:

[tex](x_1,y_1) = (5,19)[/tex] and [tex]m=4[/tex]

This gives:

[tex]y - 19 = 4(x-5)[/tex]

[tex]y - 19 = 4x-20[/tex]

Make y the subject

[tex]y = 4x-20+19[/tex]

[tex]y = 4x-1[/tex]

The above shows the equation. Hence, the Lydia is correct

Answer:

38.7°

Step-by-step explanation:

You are basically looking at a triangle with a 90° angle (check picture).

Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

[tex]sin (\alpha) = opposite / hypothenuse= 5 ft/8ft[/tex]

which is equivalent to

[tex]\alpha = sin^{-1}(5/8)\approx 38.7\deg[/tex]

Answer:

Then the total area is  116 cm^2 which agrees with answer D

Step-by-step explanation:

Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)

The Area of a rectangle is the product: base x height

In our case :

Area of Big rectangle = 12 cm x 7 cm = 84 cm^2

Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2

Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2

Answer:

34.65

Step-by-step explanation:

495x0.07=34.65

Answer:

m<7 = 49°

m<8 = 41°

m<9 = 49°

m<10 = 41°

Step-by-step explanation:

Given :

m<7 ≅ m<9

m<8 = 41°

m<7 = 90° - m<8 (complementary angles)

m<7 = 90° - 41° (substitution)

m<7 = 49°

m<9 = m<7 (m<7 ≅ m<9)

m<9 = 49° (substitution)

m<10 = 90 - m<9

m<10 = 90 - 49

m<10 = 41°

9514 1404 393

Answer:

  1.12 times as great

Step-by-step explanation:

The speed from Boston is ...

  (210 mi)/(4 2/3 h) = 45 mi/h

Then the speed to Boston is ...

  50.4/45 = 1.12 . . . times as great

__

The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.

9514 1404 393

Answer:

 1.12 times as great

Step-by-step explanation:

The speed from Boston is ...

  (210 mi)/(4 2/3 h) = 45 mi/h

Then the speed to Boston is ...

  50.4/45 = 1.12 . . . times as great

__

The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.

Step-by-step explanation:

According to pythagoras theorem the square length of hypotenuse is equal to sum of other two sides

n^2 + 19^2 = 15^2

n^2 + 361 = 225 if we subtract 361 from both sides

n^2 = -136 but the root of square cannot be negative

I believe there's a mistake in this question so you should ask your teacher.

Answer:

True

Step-by-step explanation:

Because I did this.

Answer:

14 units²

Step-by-step explanation:

1/2(7)(4)=14 units²

Answer:

14 square units

Step-by-step explanation:

Answer:

3,4,5

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.

Answers:

Triangle ABC is an acute triangle. It's also a scalene triangle.

====================================================

Work Shown:

x = measure of angle B

2x+2 = measure of angle A, since we're told its "2 more than twice angle B"

2x-7 = measure of angle C, for similar reasoning

The three angles add to 180. This is true for any triangle

A+B+C = 180

(2x+2)+(x)+(2x-7) = 180

5x-5 = 180

5x = 180+5

5x = 185

x = 185/5

x = 37

This means angle B is 37 degrees. The other two angles are

A = 2x+2 = 2*37+2 = 74+2 = 76

C = 2x-7 = 2*37-7 = 74-7 = 67

----------------

In summary, we have these three interior angles

As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.

Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.

Answer:

Area of circle = pie r²

= 3.14 × 2.25

=7.065

Answer: 7.07cm²

Step-by-step explanation: diameter=3

radius=d/2

          =3/2

          =1.5cm

area=πr²

       =22/7 x 1.5 x 1.5

       =22/7 x 2.25

       =99/2 ÷ 7

       =99/2 x 1/7

       =99/14