1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semenov [28]
3 years ago
13

At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 whe

els. How many of each are used
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0

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

You might be interested in
Help please fast! no explanation!!!
garik1379 [7]

Answer:

you still need help

Step-by-step explanation:

8 0
3 years ago
4th term of (4x-y)^9
Neko [114]
Now, let's do the same as we did for the previous one here.

\bf (4x-y)^9\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&+1&(4x)^9(-y)^0\\
2&+9&(4x)^8(-y)^1\\
3&+36&(4x)^7(-y)^2\\
4&+84&(4x)^6(-y)^3
\end{array}

notice again, how did we get 84 for the 4th element's coefficient? well 36 * 7 / 3.  and so on.  And you can just expand it from there.
3 0
4 years ago
What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.
Zanzabum
Hi there!

The general formula of A line in slope-intercept form is the following:
y = mx + n

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
y =  \frac{2}{5} x + n

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

- 1 =  \frac{2}{5}  \times  - 3 + n

Multiply first.
- 1 =  -  1\frac{1}{5}  + n

And finally add 1 1/5 to both sides of the equation.
\frac{1}{5}  = n

We can now switch sides.
n =  \frac{1}{5}

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
y =  \frac{2}{5}  x  +  \frac{1}{5}

7 0
4 years ago
The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Writ
luda_lava [24]

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50

4 0
3 years ago
It says to use rounding or compatible numbers to estimate the sum.<br> first problem is 24 + 8
KonstantinChe [14]
The estimated sum is 30.
4 0
4 years ago
Other questions:
  • The most common Native American language used in 2010 is Navajo, with about 169,000 people speaking the language nationally. If
    13·2 answers
  • What is 1 ten thousand + 19 thousands+ 2 tens+ 9 ones in standard form
    11·1 answer
  • Nth term of 45,51,57,63,69
    14·1 answer
  • 5 ordinary quarters and have a quarter with two heads are placed in a hat. one quarter selected at random and tossed twice. if t
    5·1 answer
  • Which inequality is graphed on the number line?
    7·2 answers
  • The function (t) = 1,000(1.06)2t models the value of an investment after tyears.
    13·1 answer
  • The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00
    11·1 answer
  • 20 POINTS I could really use some help​
    13·1 answer
  • Given: BD bisects AC and ∠CBE≅∠ADE.<br> Prove: ABCD is a parallelogram.
    5·2 answers
  • Pip, David and Bridget share £60 in a ratio 1:2:2. How much money does each person get?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!