Mark took his family to the movies and spent a total of 78$ on tickets he also bought a soda for each family member each sodas cost 4.25 if mark spent a total of 102,50 on sodas and tickets. How much sodas did he buy

Answers

Answer 1

Answer: He bought about 6 sodas.

Step-by-step explanation:

Given: Tota cost of tickets = $ 78

Cost of each soda = $4.25

Total cost of sodas and tickets = 102.50

Let x = Number of sodas purchased

Then

[tex]78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6[/tex]

Hence, he bought about 6 sodas.


Related Questions

These 3 questions pleaseeee!

Answers

Answer:

1. m<T =72 , m<U =54

2. EF= 18 in. , m<F=134'

3. x=4

Step-by-step explanation:

1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T

180 - 54 - 54 = 72

2. ef = gf

180 - 23 - 23 = 134

3. since bottom 2 angles are = , the 2 sides are also =

see attachment for work

i don’t understand this

Answers

Answer:

Step-by-step explanation:

You simply need to assign 1 to n if you wanna know what is a1. Then, a1 turns to 6 cuz a1 means 3×1 + 3. Step by step, assign 2,3,4,5 to n and you'll get the right answers!

The graph of a polynomial function is shown. Which statement about the polynomial is true?

Answers

Answer:

The degree is odd and the leading coefficient is positive.

Step-by-step explanation:

Clearly from the graph of the polynomial function we see that both the ends of the graph are  in the opposite directions.

This means that the degree of the polynomial is odd.

( Since in even degree polynomial both the ends are in the same direction )

Also, the leading coefficient of the polynomial is positive.

Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:

when x → -∞     p(x) → -∞

and when x → ∞   p(x) → ∞

Reflection over the line y = -x of the point (1,3)

Answers

Answer:

(-3,-1)

Step-by-step explanation:

To reflect them you gotta switch their places and change their signs from positive to negative.

so (x,y) -> (-y,-x)

What is the equation of the line that passes through the point (-4,-7) and has a
slope of
3/2?

Answers

Answer:

y=[tex]\frac{3}{2}[/tex]x-1

Step-by-step explanation:

y=mx+b

-7=[tex]\frac{3}{2}[/tex](-4)+b

-7=(-6)+b

b=(-1)

y=[tex]\frac{3}{2}[/tex]x-1

Evaluate and simplify each square root(simplest form). To create a square root symbol type sqrtt.

Answers

All this is, is plugging in numbers. Then taking the square root of it. The first one would be the square root of 6 squared - 4(5)(-3). That would simplify to the square root of 36+60. Then add the numbers to get the square root of 96. The square root of 96 is about 9.798. I hope that helped. If you still need help with the second one or with the rest of the formula (if there is one) just ask!

I need help fast!
Find the slope of the line passing through the pair of points. (-4,5) and (0,2)

Answers

Answer:

-3/4

Step-by-step explanation:

(y2 - y1) / (x2 - x1) is the equation for finding slope! All you have to do is plug in the numbers! Hope this helps :)

Work:

5-2/-4-0

3/-4

f(x) = 3x + 1, solve for x when f (x) =7.

Answers

Answer: x=2

Step-by-step explanation:

Given

f(x)=3x+1

f(x)=7

Combine two equations by substitution

3x+1=7

Subtract 1 on both sides

3x+1-1=7-1

3x=6

Divide 3 on both sides

3x/3=6/3

x=2

Hope this helps!! :)

Please let me know if you have any questions

Determine the number of solutions of the system.
y = 2x - 1
y = -2x + 3

Answers

the answer to this is the system has no solution.

can someone help me wit dis?​

Answers

Answer:

2

Step-by-step explanation:

the answer is 7
3x+10=31
-10 -10
3x=21
/3 /3
x= 7

Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?

Answers

Answer:

See explanation

Step-by-step explanation:

The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.

The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).

The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.

Answer:

Which of the following steps did you include? Check all of the boxes that apply.

Make sure that the x-values are spaced apart in equal intervals.

Determine whether the y-values increase by the same amount or by the same ratio.

Decide that the data is linear because the y-values increase by a common difference.

Decide that the data is exponential because the y-values increase by a ratio or factor.

Step-by-step explanation:

i took the test

pls help i will give brainliest

Answers

Answer:

A

Step-by-step explanation:

Which of the
following numbers
is written in
CORRECT
scientific notation?
Select all that
apply.
Drag circles onto
each answer
choice.
A) 30 x 10^2
B) 1.7 x 10^-12
C) 6 x 10^-7
D) 0.3 x 10^-3
E) 10 x 10^10
F) 2.4 x 10^8

Answers

A, C, and E are correct.

A teacher polled her students and determined 37 liked math and 44 liked history.
She has a total of 180 students. If there are 3000 students in the whole school. How
many students could you infer like something other than math and history.

Answers

Answer:

I’m pretty sure it’s 2919 students

Step-by-step explanation:

Ok 37-math

44-history

180 total students

99 students in the total didnt like them

3000 students in school.

-180

2919 students

What type of transformation moves P(3,-6) to
P'(3, 6)?
Reflection in the y-axis
Reflection in the x-axis
Rotation 180
Translation

Answers

I don’t know but I’ll try to figure it out

Answer:

Rotation 180

Step-by-step explanation:

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

find the missing dimension of each triangle prism​

Answers

From the triangle perspective the dimension of the hypothenuse is missing.
From the rectangles perspective the dimension of the width is missing.

Joyville has a population of 20,750 people.
Its population is increasing at a rate of 2.7%
each year?

Answers

560 people move to Joyville each year.
I just used a calculator.. and put ( 20,750 + 2.7% = 560.25) so hopefully that helps!

A sphere has a volume of 457 in. What is the radius of the sphere? Use 3,14 for pi. Round to the nearest whole number.​

Answers

Answer:

4.78

Step-by-step explanation:

we know volume =4/3 pie r³

=4/3×3.14×r³=457

=r³=(457/4.19)

r³=109.16

r³=(4.78)³

r=4.78 ■

I am giving brainliest to the right answer!

Answers

ok answer this, 7x150+10 and that should be your answer.

Answer:

x=20

Step-by-step explanation:

 there are two intersecting lines with two pairs of opposite angles each of the pairs are called vertical angles and if two angles are vertical, they are congruent

we know the angles are congruent, we also know (150=7x+10) and in order to solve for x we have to isolate x by subtracting 10 to both sides giving us  (140=7x )

divide by seven on both sides to isolate x and that will give you x=20.

hope this helps :) have a nice day !!

A number cube is rolled 3 times. What is the probability that a number greater than 4 is rolled
all three times?

Answers

the probability of getting one is 1/6, and 2 is the same, 1/6. the probability of getting a number higher than 4 is 1/3. 1/6 * 1/6 * 1/3 = 1/108

A right triangle has legs that are 10 yards and 12 yards
long. What is the length, in yards, of the hypotenuse of
the right triangle?

Answers

Answer:

15.62 yards

Step-by-step explanation:

hyp² = 10²+12² = 100+144 = 244

hyp = √244 = 15.62 yards

Elections have just been held in Politton.
There are two parties, the Greens and the Yellows. The turnout was 70%.
The Greens got 60% of the vote and the Yellows the remaining 40%.
An exit poll showed that 30% of women voted Green, while 70% voted Yellow.
There are equal numbers of men and women registered to vote. And the percent turnout was the same.
What proportion of men in the total electorate voted Yellow?

Answers

Answer:

Step-by-step explanation:

Answer:

n the immediate aftermath of a national election, exit polls offer the best glimpse of what the electorate looked like – who voted for whom and what seemed to drive their choices.

Traditionally, the exit polls have been a collaborative effort of a consortium of major media organizations, involving interviews with a representative sample of thousands of voters as they leave polling places across the nation. In this election, concerns about the pandemic helped drive an unprecedented number of Americans to vote early or by mail. By Nov. 3, more than 100 million Americans had already voted. To account for these voters, this year’s exit polls include data from telephone interviews with a representative sample of people who voted early or by mail. In all, the national exit poll includes interviews with 15,590 voters. It is important to note that these data will be updated, so the numbers below should be considered preliminary, reflecting the exit polls reported as of Nov. 4.

Step-by-step explanation: can you give me brilent

Someone please help with these and explain your answer for both!!! I will give brainliest if correct!!!

Answers

Answer:

C

Step-by-step explanation:

We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.

C. is the answer

2 givens and then we have CB = CB which is the reflexive property. I haven't heard of (definition of midpoint) but as long as there aren't any more answers except the 3 shown above it should be correct.

......................help

Answers

Answer:

50.528º

Step-by-step explanation:

tanA = BC/BA

tanA = 17/14

A = 50.528º

Pleaseee helpp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

(9,-7)

Step-by-step explanation:

Answer:

9, -7 if i'm correct

Step-by-step explanation:

A. 34
B. 74
C. 106
D. 72
PLEASE HELP I NEED IY

Answers

Answer:

34 degrees

Step-by-step explanation:

m<z = m<s

It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?

Answers

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), What is the value of z?

Answers

Answer:

6

Step-by-step explanation:

Given the expression sin(9z − 1) = cos(6z + 1), for 0 < z ≤ 90, we are to find z

Note that sin theta = cos(90-thetsa)

sin(9z − 1) = cos(6z + 1)

cos (90 - (9z-1)) = cos(6z + 1)

cos (90 - 9z+1)) = cos(6z + 1)

cos (91-9z) = cos(6z + 1)

Cos will cancel out to have;

91-9z = 6z+1

-9z - 6z = 1-91

-15z = -90

z = 90/15

z = 6

Hence the value of z is 6

7,650÷______=7.65
answer______​

Answers

Answer:

1000

3 decimals

1,000


hope this helped :))

Please do number 17 for me.

Answers

Angles in a triangle add to 180 degrees
3x+1+11x-4+5x-7=180
collect like terms
19x-10=180
Add ten to both sides
19x=190
x=10
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