13. A fast food restaurant sells hamburgers and hotdogs. One day you go in and get 4
hamburgers and 3 hotdogs for $25.50. The following week you go in and get 9 hamburgers and
2 hotdogs and pay $45.50. What is the price of 1 hamburger? What is the price of 1 hotdog?
WRITE and SOLVE a system of equations to solve this problem. Make sure to clearly define
your variables.

Answer:

x = -17

Step-by-step explanation:

To simplify, we need to solve within the parentheses first:

-3(2 + 6x) + 7x

(-6 - 18x) + 7x

Next, we combine like terms:

-6 - 18x + 7x

-6 - 11x

Next, we isolate the variable "x":

-6 - 11x

/x

-6 - 11 = x

Combine like terms:

x = -17

Hope this helps :)

Answer:−

11x-6

Step-by-step explanation:

Rearrange terms

-3(2+6x)+7x

-3(6x+2)+7x

DIStribut

-3(6x+2)+7x

-18-6+7x

Combine like terms

-18-6+7x

-11x-6

Answer:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Step-by-step explanation:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Answer:

-4.65< -4 and 2/5

Step-by-step explanation:

To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:

-4.65<-4.4

-4.65<-4 2/5

Answer:

<

Step-by-step explanation:

You have to convert the mixed number by multiplying the whole number by the denominator, adding the numerator, and dividing the sum by the denominator.

4x5=20

20+2=22

22÷5=4.4

-4.65 < -4.40

Answer:

35

Step-by-step explanation:

Please look at the attachment down below.

Hope this helped! :)

The  sum of three number is 35.

A square number is the result when a number has been multiplied by itself.

For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.

Given:

if the number given is 9

9² - (9 - 1)² = 9² - 8²

                 = 81-64

                  = 17.

if the number given is 6.

6² - (6 - 1)² = 6² - 5²

                 = 36-25

                 = 11.

if the number given is 4.

4² - (4 - 1)²= 4² - 3²

                = 16-9

                = 7.

Thus, the sum of three number is

=17 + 11 + 7

= 35

Learn more about square here:

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Answer:

Answer:

25%

Step-by-step explanation:

625/2500 = 0.25 = 25%

Answer:

Rotation 180

Step-by-step explanation:

The axis points right to the rotation so it implies that exact answer

Answer:

Part A

= 9 flowers

Part B

= 5 flowers

Step-by-step explanation:

Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.

Part A: What is the greatest number of flowers she can put in each vase?

This is calculated as:

59 flowers ÷ 6 vases

= 9 5/6 flowers

Therefore, the greatest number of flowers she can put in each vase is 9 flowers

Part B: How many flowers will Emily have left over?

We have to calculate the number of flowers in the 6 vases above

= 9 flower × 6

= 54 flowers

Hence:

= 59 flowers - 54 flowers

= 5 flowers

Therefore, Emily would have 5 flowers left over.

Answer:

Each burrito meal cost 8$

Each taco meal cost 6$

Step-by-step explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

Step-by-step explanation:

Answer:

Tacos-6

Burritos-8

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3b+4t=48)

1(6b+2t=60)

Becomes:

−6b−8t=−96

6b+2t=60

Add these equations to eliminate b:

−6t=−36

Then solve−6t=−36for t:

−6t=−36

−6t

−6

=

−36

−6

(Divide both sides by -6)

t=6

Now that we've found t let's plug it back in to solve for b.

Write down an original equation:

3b+4t=48

Substitute6fortin3b+4t=48:

3b+(4)(6)=48

3b+24=48(Simplify both sides of the equation)

3b+24+−24=48+−24(Add -24 to both sides)

3b=24

3b

3

=

24

3

(Divide both sides by 3)

b=8

Answer:

b=8 and t=6

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:

3u--> 750g

5u-->1250g

Step-by-step explanation:

2kg = 2000g

3+5=8

8u --> 2000g

1u--> 250g

3u--> 750g

5u-->1250g

Answer:

ask your teacher

Step-by-step explanation:

Answer:88

Step-by-step explanation:

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

I am reading this correctly, the width = 1/3 of the length?

If this is the case, and we know that the area is 675, the equation is as follows.

Width x Length = 675 ft2

X = length

1/3 X  x  X =  675 ft2

To solve for X we have to multiply both sides by 3.

X square 2 = 2601 square feet.

Take the square of each side.

X =  225 sqare feet.

I hope this helps, let me know if you have any questions.

Step-by-step explanation:

divide 5 by 3.80 and then the multiply the answer by 7

Answer:

7 chocolate bars=£5.32

Step-by-step explanation:

3.80÷5=0.76(one chocolate bar)

0.76×7=5.32(7 bars)

Answer:

y = x+3

Step-by-step explanation:

3y-3x = 9

3y-3x+3x = 9+3x

3y = 3x+9

3y/3 = 3x/3+9/3

y = x+3

Hey there!

The answer is [tex]y=x+3[/tex]

[tex]3y-3x=9[/tex]

[tex]\frac{3y}{3} -\frac{3x}{3} =\frac{9}{3}[/tex]

[tex]y-x=3[/tex]

[tex]y-x+x=3+x[/tex]

[tex]y=x+3[/tex]

Have a great day!

Answer: 3x - 23

Step-by-step explanation:

To solve the equation goes thus:

= 2(x-7)+x-9.

We have to open the bracket first

= 2x - 14 + x - 9

We then collect like terms

= 2x + x - 14 - 9

= 3x - 23

Therefore, the answer is 3x - 23

WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT

Answer:

AHH

Step-by-step explanation:

The value of n is, 75.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

An inverse variation includes the points (15, 1) and (n, 5).

Now, We know that;

The inverse variation is defined as,

⇒ y = k x

Here, An inverse variation includes the points (15, 1) and (n, 5).

Hence, Substitute x = 15, and y = 1;

⇒ 1 = k × 15

⇒ k = 1/15

And, Substitute x = n and y = 5;

⇒ y = k x

⇒ 5 = 1/15 × n

⇒ 5 × 15 = n

⇒ n = 75

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Answer:

51 1/3 feet

Step-by-step explanation:

3 cm / 7 ft = 22 cm / x ft

cross-multiply:

3x = 154

x = 51.33

Answer:

BODMAS rule

Step-by-step explanation:

There are four basic rules in mathematics, Addition, subtraction, Multiplication and Division. All these operations can be used together or separately depending on the problem. When all the operation are required in the problem then BODMAS rule is applied to simplify the problem. BODMAS rule determines that operation will be performed according to the rule : Division, Multiplication, Addition and Subtraction. First operation which will be performed is division and last will be subtraction. This rule is same for all types of problems.

Answer:

33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°

34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°

35. m∠1 = 90°, m∠2 = 25°

Step-by-step explanation:

33. The given parameters of the isosceles trapezoid are;

The measure of one of the base angles = 45°

For an isosceles trapezoid, the base angles are equal, therefore, we have;

The measure of the other base angle = m∠3 = 45°

Similarly, m∠1 = m∠2

Also, we have;

The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°

∴ 45° + m∠3 + m∠1 + m∠2 = 360°

By substituting the known values, we have;

45° + 45° + m∠1 + m∠2 = 360°

From m∠1 = m∠2, we have;

45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°

2·m∠1 = 360° - 90° = 270°

∴ m∠1 = 270°/2 = 135°

m∠1 = 135° = m∠2

Therefore, we have;

∠3 = 45°, ∠1 = 135°, ∠2 = 135°

34. The measure of the base angles = 80°

∴ The measure of the other base angle = m∠1 = 80°

m∠2 = m∠3

80° + m∠1 + m∠2 + m∠3 = 360°

∴ 80° + 80° + 2·m∠2 = 360°

m∠2 = (360° - (80° + 80°))/2 = 100°

m∠2 = 100° = m∠3

35. The kite comprises of two half isosceles triangles

The base angles of the right half isosceles triangle = 65°

The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)

Therefore, m∠1 = 90°

The diagonals bisect the angles at the vertices (Kite theorem)

Therefore, we have;

65° + 90° + m∠2 = 180°

m∠2 = 180° - (65° + 90°) = 25°

m∠2 = 25°.

Answer:

35 minutes

Step-by-step explanation:

Given that:

Trista:

Average word type per hour = 2400 words /hr

For Trista to type her 1400 word research paper ;

It will take 'h' hour

If

2400 words = 1 hour

1400 words = h

Cross multiply :

2400h = 1400

h = 1400 / 2400

h = 0.5833333 hr

To minutes, it will take :

0.5833333 * 60 = 35 minutes

Hence, it will take Trista 35 minutes or 0.5833333 to type her 1400 words research paper.

Answer:

To the right!

Hope that helps!

Step-by-step explanation:

Answer:

20/25

Step-by-step explanation:

12/15=

4/5=

20/25