At a basketball game, a vender sold a combined total of 172 sodas and hot dogs. The number of hot dogs sold was 46 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer 1

Answer:

Let x = # of hot dogs sold

Let x + 31 = # of sodas sold

For the total, do:  x + x + 31 = 173

                         2x + 31 = 173

                               -31     -31

                         2x            = 142

  Divide out both sides by 2; to get:  x - 71

  That gives us 71 hot dogs; and 71 + 31 = 102 sodas

  To test this:  71 + 71 + 31 = 173

                                173    =  173    [Check]

Step-by-step explanation:

its above up there


Related Questions

Given R
0
3
2
-9

and S.
-4
5
0
2
What is X if X + R = S?

Answers

Answer:

B step by step is the answer

Please help me pick me choose me

Answers

Answer:

D

Step-by-step explanation:

Find the volume of a cone

Answers

What is the equation for the volume of a cone
Volume = ???
Right circular cone
Solve for volume
V=πr2h
3
r Radius

h Height

calculate 100% if 50% is 32

Answers

Answer:

  64

Step-by-step explanation:

100% is twice 50%, which is 32.

64 is twice 32, so is 100%

60% of the students in a school of 800 students take a bus. how many students take the bus?

Answers

Answer:

480

Step-by-step explanation:

60% of 800

= [tex]\frac{60}{100}[/tex] × 800

= 0.6 × 800

= 480 ← number of students who take the bus

using the spinner above, what is the probability that you will land on red or blue?

Answers

Answer: 3/4

Step-by-step explanation:

The probability that you will land on either red or blue is equal to the sum of the probability that you will land on red and the probability you will land on blue.

The probability you will land on red is 1/2 and the probability that you will land on red is 1/4 by the image.

Therefore, the probability you will land on either is 1/4 + 1/2 = 3/4

Estimating sums 331+55

Answers

Answer:

round to 330 and 60, add and get 390

Step-by-step explanation:

Answer:

390?

Step-by-step explanation:

Round to nearest 10th
330+60=390

Find the value of X for the given parallelogram

Answers

Opposite angles in a parallelogram are congruent

So,


6x-10 = 2x + 50

Now solve like a normal equation

4x = 60
x = 15

Answer:

15

[tex] \: [/tex]

Step-by-step explanation:

Parallelogram is a quadrilateral whose both pairs of opposite sides are parallel and equal and opposite angles are also equal.

[tex] \: [/tex]

So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { \angle P = \angle R}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 = 2x + 50}}}} \: \: \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 - 2x = 2x + 50 - 2x}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 = 50 }}}} \: \: \\ \\[/tex]

Adding 10 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 + 10 = 50 + 10 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x = 60 }}}} \: \: \\ \\[/tex]

Dividing 4 from both sides we get :

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { \frac{4x}{4} = \frac{60}{4} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \frak { x = 15 }}}} \: \: \\ \\[/tex]

Therefore,

The value of x is 15

Heather drove at a constant rate. She traveled 162162 miles in 33 hours. How far, in miles, did Heather travel in 11 hour?

Answers

Answer:

i think its 54054

Step-by-step explanation:

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:20

Step-by-step explanation:

Solve the inequality.

r+0.2<−0.7

Answers

Answer:

r<−0.9

Step-by-step explanation:

Let's solve your inequality step-by-step.

r+0.2<−0.7

Step 1: Subtract 0.2 from both sides.

r+0.2−0.2<−0.7−0.2

r<−0.9

Are these shapes similar? Choose all that apply. ( Multiple choice answer )

No, the corresponding sides are not proportional.

Yes, the corresponding sides are proportional.

No, the corresponding angles are not congruent.

Yes, the corresponding angles are all congruent.

Answers

Answer:

Yes, the corresponding sides are proportional.

Yes, the corresponding angles are all congruent.

Step-by-step explanation:

The sides are proportional with a ratio of 0.6. The angles are all right angles, making them congruent. Therefore, the two shapes are similar.

I hope this helps!

School X and School Y play eachother in a competiton.

School X has eight more points than School Y
School X has three times as many points than School Y

How many points does each school have?

Answers

Answer:

school x = 12

school y = 4

Step-by-step explanation:

School X has eight more points than School Y.

School X has three times as many points as School Y .

Writing these statements in terms of equation 

x = y + 8  

 x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y – y = 8 (subtract y from both sides)

2 y= 8 (divid 2 from both sides)

y = 4

then plug in y to the first equation

x= y + 8

x= 4 + 8

x= 12

Find the measure of ZC. Write your answer as a decimal

Answers

angle c measures 107.5°

Compare the following ratios: (Use >, < or = sign in the place holders)

8) 1:2 ___ 3:6

9) 3:5 ___ 2:4

10) 6:7 ___ 4:8

11) 5:1 ___ 7:9

12) 4:6 ___ 7:6

13) 1:8 ___ 4:11

14) 5:2 ___ 10:4

15) 4:3 ___ 2:4

16) 7:2 ___10:3

Answers

Answer:

Step-by-step explanation:

8) 1:2 _<__ 3:6

9) 3:5 _>__ 2:4

10) 6:7 _>__ 4:8

11) 5:1 _<__ 7:9

12) 4:6 _<__ 7:6

13) 1:8 __<_ 4:11

14) 5:2 __<_ 10:4

15) 4:3 _> 2:4

16) 7:2 _<__10:3

The point always points towards the smallest number.


Recognize functions from graphs
11
Does the graph represent a function?

Answers

Answer:

yes

Step-by-step

Use the given information to find (a) sin (s +t), (b) tan (s+t), and (c) the quadrant of s+t cos s=3/5 and cos t= 15/17, s and t quadrant I

Answers

Step-by-step explanation:

Let find the other trig function first, just sin s and sin c.

Use pythagoren identity to find sin a.

[tex]1 - \cos {}^{2} (s) = \sin {}^{2} (s) [/tex]

cos s=3/5 so cos^2(s)=9/25

[tex]1 - \frac{9}{25} = \sin {}^{2} (s) [/tex]

[tex] \frac{16}{25} = \sin {}^{2} (s) [/tex]

[tex] \frac{4}{5} = \sin(s) [/tex]

Since this is in the first quadrant, it is positve.

Let do the the same thing for sin t.

[tex]1 - \frac{169}{289} = \sin {}^{2} ( {}^{} t) [/tex]

[tex] \frac{120}{289} = \sin {}^{2} (t) [/tex]

[tex] \frac{2 \sqrt{30} }{17} = \sin(t) [/tex]

Now, we can compute

a.

[tex] \sin(s + t) = \sin(s) \cos(t) + \cos(s) \sin(t) [/tex]

[tex] \frac{4}{5} \times \frac{13}{17} + \frac{3}{5} \times ( \frac{2 \sqrt{30} }{17} )[/tex]

[tex] \frac{52}{85} + \frac{6 \sqrt{30} }{85} [/tex]

[tex] \sin(s + t) = \frac{52 + 6 \sqrt{30} }{85} [/tex]

b

[tex] \tan(s + t) = \frac{ \tan(s) + \tan(t) }{1 - \tan(s) \tan(t) } [/tex]

Tan s is 4/3

Tan t is 2 times root of 30/ 13

So we have

[tex] \frac{ \frac{4}{3} + \frac{2 \sqrt{30} }{13} }{1 - \frac{8 \sqrt{30} }{39} } [/tex]

[tex] \tan(s + t) = \frac{52 + 6 \sqrt{30} }{39 - 8 \sqrt{30} } [/tex]

c. They are all in 1st quadrant

If an island's only residents are penguins and bears, and if there are 22 heads
and 52 feet on the island, how many penguins and how many bears are on the
island?

Answers

Answer:

27 penguins and 43 bears

i hope thats right lol

Step-by-step explanation:

What is the answer to this please help me cause I’m new to all of this kind of math and I’m not really the type of person to like math.

Answers

Answer:

12/16 then we have to simplify by finding the largest number that goes into both so from looking i can see that its 4

3/4

Hope This Helps!!!

What is the area of this triangle?
6 cm
11 cm

Answers

Answer: 33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2} \\[/tex] (base × height ÷ 2)

A = 6 · 11
       2

A = 66
      2

A = 33

Name the quadrilateral whose diagonals are perpendicular bisectors of each other

Answers

Rhombus or square.

Hope it helps!


AABC = AEDC, AB = 7, mZA = 40°

mZE = [ ? ]'.

Answers

Answer:

40

Step-by-step explanation:

since they are Similar

m∠E = m∠A =40°

HELPPP FOR BRIANLEST!!!!

Answers

Answer:

12/17

Step-by-step explanation:

total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)

11 + 15 - 2 = 24

over the total number of marbles (34)

24/34 simplifies to 12/17

answer 13/17

Step-by-step explanation:

you add all the numbers up in the table, which would be 34 and then add up the ones that are big and the ones that are purple, which would be 26 so 26/34 then you simplify.

so 26/34=13/17

Which operation should you perform first in the expression 7 × 2 by the power of 3

Answers

Answer:

If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.

Step-by-step explanation:

PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.

the set of integers is closed numbers the operation division​

Answers

Answer:

The integers are closed under addition, multiplication and subtraction, but NOT under division

Step-by-step explanation:

9 ÷ 2 = 4½

First plot 1 and -6 on the number line below.
Then answer the parts below.
-10
-5
0
5
10
Х
$
?
(a) Choose the correct statement.
O 1 is located to the left of -6.
O 1 is located to the right of -6.
(b) Use<, >, or to complete the statement.
1 ?
-6

Answers

1 is Located to the right -6. 1 is greater than -6

The Family Fair Committee wants to show a good
family movie at their next event. They want to
select a movie that will appeal to families with
young children. Which of the following samples
would be the BEST representation of that
population?
A. Ask 100 people at local Senior Citizen Bingo
night
B. Ask 100 students who are in the local Band.
C. Ask 100 parents at the local playground.
D. Ask 100 Dads at the high school football
game.
O
OA

Answers

The best representation of the population is; C. Ask 100 parents at the local playground

What is the statistics Population?

In statistics, a population is the entire group that you want to draw conclusions about. Whereas, a sample is the specific group that you will collect data from.

Now, the family committee want to select a movie that will appeal to families with young children. Thus, it will be best for them to ask the parents of children as that will be a true representation of what the families would like to watch.

In conclusion, the only correct option is option C to ask 100 parents at the local playground

Read more about population at; https://brainly.com/question/7301139

A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the most money, and each place after that wins $50 less than the previous place. Part A Create a model that can be used to determine the total amount of prize money based on the value of the first place prize Enter your model in the box provided. ​

Answers

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

What is a Sequence?

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

x , x - 50, x - 100, x - 150, x - 200

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

learn more on model here: https://brainly.com/question/2400667

56 ft =___yd___ft

please help me this is due tomorrow

Answers

Answer:

18 yd 2 ft

Step-by-step explanation:

56÷3=18 R2

18x3=54+2=56

Answer:

56 ft = 18 yd and 2 ft

Step-by-step explanation:

3 feet = 1 yard

Therefore, to find how many yards and feet are in 56 yards, divide 56 by 3:

⇒ 56 ÷ 3 = 18 remainder 2

Therefore,  

56 ft = 18 yd and 2 ft

Plssss help if you know how to do it I can’t figure it out

Answers

Answer:

bbbbbbbbbbbb

...........

.........

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