At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 wheels. How many of each are used

Answers

Answer 1

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55


Related Questions

f(x)=−4x
2
+5x
\text{Find }f(6)
Find f(6)

Answers

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

     = -4(36) +30

     - 144+30

   = -114

Hello! I really need some help with this (:

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

As x increases, y increases by 3. Therefore, the slope of the function is 3.

Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).

Overall, the function rule for the given data set is y = 3x + 3.

formula of (a^3+b^3)​

Answers

Answer:

[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]

Step-by-step explanation:

2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Angles a and e are corresponding angles and they are also congruent.

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Does anyone know the answer plz ?

Answers

Answer:

a = 20; b = 10sqrt(3)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

b = 10 * sqrt(3)

b = 10sqrt(3)

a = 2(10)

a = 20

Answer: a = 20; b = 10sqrt(3)

Answer:

a=20,[tex]b=10\sqrt{3}[/tex]

Step-by-step explanation:

SOH-CAH-TOA

Tan = O/A

Tan(60)= b/10

[tex]b=10\sqrt{3}[/tex]

Cos = A/H

cos(60) = 10/a

a=20

Whats the answer



HURRY IM BEING TIMED

Answers

Answer:

(C.

I THINK-

Step-by-step explanation:

I think the answer is c

1:4 of 2,500 what is it???

Answers

Answer:

40% of 2500=

100

40

×2500

=1000

Step-by-step explanation:

Write the calculation exactly as you say it:

A matrix having unequal number of rows and columns is called​

Answers

A rectangular matrix :)

4(x — 8)+10 = -10
What is the solution to this equation?

Answers

Answer:

x = 3

Step-by-step explanation:

We are given the equation 4(x - 8) + 10 = -10 and are asked to find the solution, solution meaning to get x alone.

To do so, first distribute the 4 on the outside of the parenthesis to both values on the inside of the parenthesis :

4(x - 8)

(4 * x - 4 * 8)

4x - 32

4x - 32 + 10 = -10

Now combine like terms :

4x - 22 = -10

Now it's time to get x alone, first get rid of -22 by adding 22 to both sides :

4x = 12

Now get x alone by dividing both sides by 4 :

x = 3

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

A. 3.7 yds
B. 5.3 yds
C. 2.6 yds
D. 1.9 yds

Answers

b i hope this helps !!

The height of the given triangle is 3.7 yds. Therefore option A is the correct answer.

We need to find the height of the given triangle.

What is the formula to find the area of the triangle?

The formula to find the area of the triangle is Area=√s(s-a)(s-b)(s-c).

Where s is the semiperimeter, a,b and c are sides of the triangle.

Now, s=6+10+14/2=15 yds

Area of a triangle=√15(15-6)(15-10)(15-14)=25.9

Area of triangle=1/2×14×h=25.9 square yds

⇒h=3.7 yds

Therefore, the height of the given triangle is 3.7 yds.

To learn more about the area of a triangle visit:

https://brainly.com/question/27701864.

#SPJ5

[tex]\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }[/tex]

Answers

Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

This is the simplified answer.

please help 15 points (picture)

Answers

Answer:

the first difference are all 20.

since the first differences of this relation are constant, it is a linear relation

Answer:

Linear because the account balance increases by a constant 20.

Step-by-step explanation:

→ The first difference is 20 for all values because :

20 - 0 = 20

40 - 20 = 20

60 - 40 = 20

80 - 60 = 20

100 - 80 = 20

I don’t understand how taxes and discounts work in math, could someone explain to me?

Answers

Some additional context would be helpful in providing a complete answer. But the basic idea is this:

• Object ABC has a price X set on it.

• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.

• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.

Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.

• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.

• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.

Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52

Answers

5^4/25 = 52
The quotient law states that x^m divided by x^n = x^m-n, so I think ;

We first change 25 to 5^ 2
Therefore,
5^4/5^2 = 52

5^4-2 =52

5^2 = 52

Then we change the sum to logarithmic form, which is b^x=y is the same as log (base) b (y)= x

So,
Log (base) 5 (52)= 2

Use the calculator to find the value of the log on your left and the answer is:

2.45504.... = 2

Therefore 2 (to the nearest whole number) = 2



Question 7 of 25
The graph of F(x) can be compressed vertically and shifted to the right to
produce the graph of G(X). If F(X) = x2, which of the following could be the
equation of G(x)?
A. G(x) = {(x - 6)
O B. G(x) = {(x+6)
O c. G(x) = 2(x+6)
O D. G(X) = 2(x-6)

Answers

No b could be the equation of G(X).

PLEASE HELP, I'LL MARK BRAINLIEST.. Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers? Please write in decimal form

Answers

The answer you are looking would be decimal 5.9

8. Define transversal lines.

Answers

Step-by-step explanation:

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles

A sequence starts 0, 5, ...

Give a rule the sequence could follow and the next 3 terms for that rule.

Give a different rule the sequence could follow and the next 3 terms for that rule.

Answers

Answer:

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Step-by-step explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120

The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20

The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.

Sequences are numbers arranged in a specific pattern.

Given the sequence 0, 5...

This sequence can be an arithmetic sequence with nth term expressed as:

Tn = a + (n-1)d

a is the first term = 0

n is the number of terms

d is the common difference = 5 - 0  5

If n = 3

T3 = 0 + (3-1)*5

T3 = 2 * 5

T3 = 10

If n = 4

T4 = 0 + (4-1)*5

T4 = 3 * 5

T4 = 15

If n = 5

T5 = 0 + (5-1)*5

T5 = 4 * 5

T5 = 20

Hence the next three terms for the rule will be 10,15 and 20

Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ

If n = 3

f(3) = 5(3-1)³

f(3) = 5(2)³

f(3) = 5 * 8

f(3) = 40

If n = 4

f(4) = 5(4-1)⁴

f(4) = 5(3)⁴

f(4) = 5 * 81

f(4) = 405

If n = 5

f(5) = 5(5-1)⁵

f(5) = 5(4)⁵

f(5) = 5 * 81

f(5) = 1024 * 5

f(5) = 5120

Hence the next three terms for the rule will be 40, 405, and 5120.

Learn more here: https://brainly.com/question/16151695

If 3r=4t+6​, what is the value of​ t?

Answers

it would be 3r - 4t = 6

please solve this indices in full understandable way

Answers

Answer:

hope it help ..........you

A
D
С
B
If mZABD = 60°, then mZDBC = [?]°

Answers

Answer:

60

Step-by-step explanation:

Since the angles are shown equal in the diagram, ABD=DBC=60

7000 cm² is the same area as
.......... m².

Answers

Answer:

1000cm²=0.1m²

so 7000cm²=0.7m²

Step-by-step explanation:

please mark me as brainliest

Answer:

0.7

Step-by-step explanation:

Make ratio:

1 square centimeter = 0.0001 square meter

x square meters = 7000 square centimeters

Multiply:

0.0001 × 7000 = 0.7

Hope this helped.

If 8x-4=12;then 2x - 1=

Answers

Answer: 21

Step-by-step explanation:

Step-by-step explanation:

tbh I have no idea

doing this for points

so yeah

BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!

Answers

Answer:

(0.5,3)

Hope this helps..Have a good day!!

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D

Step-by-step explanation:

Facts:

Minimum - can be found as the least valuable number in the box plot

First Quartile - can be found in the first point of the box around

Median - middle number in the set

Third Quartile - can be found as the last point of the box

Maximum - can be found as the greatest valuable number in the box plot
•••••••••••••••••••••••••••••••••••••••••••••••
Answers:

Minimum - 13

First Quartile - 23

Median - 35

Third Quartile - 44

Maximum - 55


What is the surface area of the cylinder?
•9377 ft2
•5787 ft2
•1,156 ft2
•2891 ft2

Answers

Answer:

    3631.681108 ft^2

Step-by-step explanation:

The surface area of a cylinder is

SA = 2pi r^2 + 2pi r h  where r is the radius and h is the height

    = 2pi (17)^2  + 2 pi (17)(17)

    = 578pi +578pi

    = 1156pi

Approximate pi with the pi button

    3631.681108 ft^2

HURRY!!!!! HELP PLEASE!!!! NO SPAM!!!!!!!!!There are two identical oil tanks. The level of oil in Tank A is 6 ft and is drained at the rate of 0.5 ft/min. Tank B contains 10 ft of oil and is drained at the rate of 1 ft/min. After how many minutes will the level of oil in the two tanks be the same?

Answers

Answer:

8 munutes

Step-by-step explanation:

let :

x is the final level for both tanks (in ft) and

t is the time (in minutes)

the equation :

x = 6 - 0.5 t (eq.1)

x = 10 - 1t (eq.2)

eq. 1 = eq. 2

=>

6-0.5t = 10-1t

1t - 0.5t = 10-6

0.5t = 4

t = 4/0.5 = 8

t = 8 minutes

Answer:               8 minutes

Step-by-step explanation:

Write an equation for the level of oil in each tank.

Let t = the number of minutes.

Tank A: y = 6 − 0.5t

Tank B: y = 10 − 1t

Solve the system by using a table of values

When t = 8 minutes, the level in both tanks will be at 2 feet.

20 points lovelys <3​

Answers

Answer:

A) 2 cm

Step-by-step explanation:

By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.

tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem

Answers

Answer:

3 a + 4 b

Step-by-step explanation:

Biểu thức đại số biểu thị bạn Cúc mua  3  ly trà sữa và  4  ly kem là:

3 a + 4 b

What is the slope of the line?
y

slope = 13
slope = -3
slope =3

Answers

Answer:

slope = 3

Step-by-step explanation:

Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2

Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6

Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2

Answer:

3

Step-by-step explanation:

Start at the y-intercept

Slope is rise (up/down) over run (move to the right/left)

First you rise 3

And you run 1

3/1 is 3 thus 3

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