Answer
l =5
w =2
Area of Rectangle= l × w
= 5 × 2 = 10
Diagram is attached to this:
Step-by-step explanation:
If the sum of x and y is 90 and y is 6 more than four times x, which of the following systems of equations could be used to solve for x and y?
A.x+y=90
x−4y=6
B.x+y=90
4x−y=−6
C.x+y=90
6x−y=−4
D.x+y=90
4x−y=6
Answer:
B
Step-by-step explanation:
x + y =90
y= 4x +6
_______
x + y = 90
4x − y = -6
The equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex]. Then the correct option is B.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The sum of x and y is 90.
And y is 6 more than four times x.
Let x and y be the numbers.
Then according to the first condition, we have
[tex]\rm x + y = 90[/tex]
Then according to the second condition, we have
[tex]\rm y = 4x + 6[/tex]
It can be written as
[tex]\rm 4x - y = -6[/tex]
Then the equations are [tex]\rm x + y = 90[/tex] and [tex]\rm 4x - y = -6[/tex].
Thus, the correct option is B.
More about the linear system link is given below.
https://brainly.com/question/20379472
Repost since nobody answered. Increased points to 25. Marking brainliest.
Congruence
Why are the triangles congruent
Answer:
A
Step-by-step explanation:
A.
I thought I just answered this
Answer: I learned about these a few years ago in math, and I hated it and sucked at it and it was awful, but ANYWAY, I think the answer is A, angle side angle
Step-by-step explanation: I think the answer is A because:
Angle-side-angle (asa) is when two angles and a side are the same on two triangles, they are congruent.
Angle-angle-side (aas) is when two sides and an angle are the same on two triangles, they are congruent.
Side-side-side (sss) is when all the sides of two triangles are the same, they are congruent.
Side-angle-side (sas) is when two sides and an angle are the same on two triangles, they are congruent.
So Angle side angle is the only one that makes sense. But again, I sucked at this when I was learning it, so I could be totally wrong. I'm pretty sure I'm right though. If I am, would you mind marking branilest? :)
PLEASE HURRY IT DUE IN 59 MIN WILL GIVE BRAILYEST Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
look this question has already been answered
https://brainly.com/question/1556676
https://brainly.com/question/1556676
https://brainly.com/question/1556676
https://brainly.com/question/1556676
Find the slope of the line that passes through (10,3) and (3,12).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
7
0
07
을
help!!!!!!
Answer:
-9/7
Step-by-step explanation:
[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
7x +y = 33
-7x + 6y = -47
Answer:
x=5 and y=-2
Step-by-step explanation:
The given system of equations are :
7x +y = 33 ....(1)
-7x + 6y = -47 ....(2)
We need to find the solution of the given equations.
Adding equation (1) and (2) we get :
7x +y + (-7x) +6y = 33+(-47)
7y = -14
y = -2
Put the value of y in equation (1).
7x +(-2) = 33
7x-2=33
7x=33+2
7x = 35
x = 5
Hence, the solution of the above equations are x=5 and y=-2
Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.
Answer:
0.8
Step-by-step explanation:
gradient = y difference/ x difference
m = (10-4)/(4--6)
The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.
a. Complete the table.
b. Describe the scales you could use on the x and y axes of a coordinate grid that would show all the distances and weights in the table.
distance (cm) weight (newtons)
20 28
55
140
1
Answer:
55= 39 2/7
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
As per the first row of proportional relationship, the proportion is:
y = kx28 = k*20k = 28/20 = 1.4The function is therefore:
y = 1.4xa) Table is filled in below:
distance (cm) | weight (newtons)
20 | 28
55 | 55*1.4 = 77
140/1.4 = 100 | 140
1 | 1*1.4 = 1.4
---------------------------------------------------------------
b) The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons
How many solutions does 5x - 1 = 10x - 4 - 5x + 3 have?
A. Two solutions
B. One solution
C. Infinitely many solutions
D. No solutions
Answer:
c
Step-by-step explanation:
its c
Help I’m failing math
Step-by-step explanation:
the answer is 72.70 cents
Answer: See explanation
Step-by-step explanation:
Markup is 39% of the cost.
Markup is what is added to the price to get the retail price.
39% × 72.72
0.39 × 72.72 = 28.3608
28.3608 ≈ 28. 36
Markup ≈ $28.36
Retail price is the price you get after you add the markup to the original price.
Retail price: Cost + Markup
Retail price: $72.72 + $28.36
Retail price = $101.08
What's half an hour mean?
Answer:
30 minutes
Step-by-step explanation:
half an hour means 30 minutes
An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 feet what is the width of the scale model
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model.
In the scale, 3 inches are worth 11 real feet.
The actual width of the building is 121 feet, so we find it's scale by a rule of three.
3 inches - 11 feet
x inches - 121 feet
[tex]11x = 121*3[/tex]
Simplifying by 3, both sides
[tex]x = 11*3 = 33[/tex]
The width of the scale model is 33 inches.
solve the equation -4.2 + - (0.6) divided by 6
Answer:
-0.8
Step-by-step explanation:
-4.2 + - (0.6) /6
-4.2 - 0.6 / 6
-4.8/6
-0.8
Mr Magee wrote the expression shown Below on the board if the expression has a value of 8 which of the following is the value of n
Step-by-step explanation:
512^(1/n) = 8
(2⁹)^(1/n) = 2³
2^(9/n) = 2³
=> 9/n = 3, n = 3. (D)
P.S.
Law of Indices: (a^m)^n = a^(mn)
Write an equation for a rational function with:
Vertical asymptote at x=-3 and x=-6
X intercept at x=-2 and x=2
Horizontal asymptote at y=5
Answer:
Step-by-step explanation:
Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7
Initial Knowledge Check
Question 10
A parachutist's speed during a free fall reaches 231 feet per second. What is this speed in meters per second? At this speed, how many meters will the
parachutist fall during 5 seconds of free fall? in your computations, assume that 1 meter is equal to 3.3 feet.
Do not round your answers,
132 feet/s
132/3.3 m/s
40 m/s
in 10132 feet/s
132/3.3 m/s
40 m/s
in 10 seconds
40 * 10
400 m
which is the correct way to write the square root of 16
Answer:
what is a square root...?
Step-by-step explanation:
a group of 8 students was asked, " how many hours did you watch televison last week?" here are thier responses; 19,10,8,13,5,17,6,9 . find the mean and median number of hours for these students. if nevessary, round your answers to the nearest tenths.
please help asap!
Solve for X.
Answer:
I believe it's 12
Step-by-step explanation:
I hope this helps
I need help with this
Answer:
y = 103
y = 180 - 77 = 103
Step-by-step explanation:
........
Answer:
103
Step-by-step explanation:
All we have to do is subtract the measure of the line which is 180 by 77 to get the measure of < y. Since they are adjacent to each other this concept will work but if they weren't it would be a little different.
[tex]y+77=180\\y=130[/tex]
So the measure of < y is 130°
Help I’m being timed!!
Answer:
False the radius would be 6.5
Step-by-step explanation:
Hope this Helps! :)
-3(x + 4y) + 2(x – 2y) + (3x -5y)
Write the income equation for a small business that begins with $150 and grows by 20% each year. When wil the company's income income be $300?
Answer:
f(x)=150+30x
150+30x=300
30x=150
x=5
after 5 years
The number of bacteria on a piece of toast triples every hour. If there is only one bacteria cell now, how many will there be in 24 hours?
Answer:
72
Step-by-step explanation:
3x24=72
Write the equation that passes through the following points:
(5,0) and (−10,−5)
Answer:
The answer is:
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} [/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} [/tex]
➌Third: Plug in.
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
What is the whole number of .24
The whole number of .24 is 24
.24 is a decimal but a whole number would be the only number which is 24. So the whole number of .24 is 24.
Type your number answer in decimal form. Do not round.
2,500grams= kilograms.
Answer:
2.5 kg
Step-by-step explanation:
1000 grams in 1 kg
2500 grams in 2.5 kg
110 mi/h is equal to mi/day
Answer:
2640 miles/day
Step-by-step explanation:
There are 24 hours in a day, so 110*24 = 2640.
how many times does 1/7 go into 3
Answer:
21
Step-by-step explanation:
1/7 x 7 = 1
x3 = 3
so 7x3 =21
The pet store can keep 14 fish in each tank. To find the number of tanks needed for 338 fish, the store manager solved the problem below.
Answer is multiple 2 by 14
Answer:
I beilieve it would be about 24 tanks
Step-by-step explanation:
can you help me solve y = -3x + 16
Answer:
13x=y
-3 + 16 = 13
13x=y