Answer:
[tex] \boxed{Dimensions\: of \: the \: rectangle \: are \: 15 \: and \: 10 units} [/tex]
Step-by-step explanation:
Let the length of rectangle be 'x' units
So, width of rectangle will be = x - 5 units
Area of rectangle = 150 square units
[tex]=> Area \: of \: rectangle = length × breadth \\ \\ = > 150 = x \times (x - 5) \\ \\ = > 150 =( x \times x )- (x \times 5) \\ \\ = > 150 = {x}^{2} - 5x \\ \\ = > 0 = {x}^{2} - 5x - 150 \\ \\ = > {x}^{2} - 5x - 150 = 0 \\ \\ = > {x}^{2} - (15 - 10)x - 150 = 0 \\ \\ = > {x}^{2} - 15x + 10x - 150 = 0 \\ \\ = > x(x - 15) + 10(x - 15) = 0 \\ \\ = > (x - 15)(x + 10) = 0 \\ \\ = > x - 15 = 0 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: x + 10 = 0 \\ \\ = > x = 15 \: \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: x = - 10[/tex]
Dimension cannot be negative so the value of x is 15
Therefore,
Length of rectangle = 15 units
Width of rectangle = 15 - 5 = 10 units
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house
-when the company spends 2 hours to clean floors and 3 hours to clean the rest of a house,the total is $84.
-when the company spends 1 hour to clean floors and 4 hours to clean the rest of a house,the total is $87
Which ordered pair represents the hourly charges to clean floor and to clean the rest of the house?
A.(12,20)
B.(15,18)
C.(20,12)
D.(18,15)
Answer:
(15,18)
Step-by-step explanation:
write two equations with the information provided.
2x + 3y = 84
x + 4y = 87
use the property of substitution to answer.
x + 4y = 87, x = 87 - 4y
2(87 - 4y) + 3y = 84
174 - 8y + 3y = 84
174 - 84 = 8y - 3y
90 = 5y
90/5 = y
y = 18
Add the value of Y to an original equation. Solve for X
2x + 3(18) = 84
2x + 54 = 84
2x = 84 - 54
2x = 30
x = 30/2
x = 15
State the coordinates of a point in the solution set
Answer:
It's any point in the mixed color area
Step-by-step explanation:
The coordinates of a point in the solution set is (3,2).
What is an inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality'.
Given is the graph of system of inequalities,
The two lines are intersecting at (3,2), and the point at which the two lines intersects is considered to be the solution of the given system of equation.
Hence, the coordinates of a point in the solution set is (3,2).
For more references on inequalities, click;
https://brainly.com/question/28823603
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Colleen recorded the type of trees in the woods near her house. She counted 20 spruce trees and 50 maple trees. What is the experimental probability that the next tree Colleen finds will be a spruce tree?
A) 2/7
B) 3/5
C)5/7
D)2/5
Answer:
The answer is A [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
the quotient of h and 8 is split by 12
Answer:
i am lead to believe the answer is 4. if not, please don't hesitate to correct my mistake.
Step-by-step explanation:
Sam plans to walk his dog a distance of 1 mile. He walks3/8
and stops to get a bottle of water. Then he walks 1/8of a mile
and stops to say hello to a friend. How far does Sam still hava to
walk his dog?
Answer:
4/8 or 1/2 more to go
Step-by-step explanation:
3/8 plus 1/8 is 4/8
so 8/8 minus 4/8 is 4/8
What's the right answer?????????
So the right answer is 166.375 ^3
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
166.375m^3
Step-by-step explanation:
V=lwh
=5.5m×5.5m×5.5m
=166.375m^3
1) Andy drove 840 miles in 12 hours. How far could he drive in 3 hours?
Unit rate (speed) _____
Distance _____
2) Pira drives 825 miles to California. The trip takes 17 hours. He uses 38 gallon of gas on the trip, which costs him $125.
Find his speed
Find his gas mileage
Find the unit price he paid for gas.
Answer:
Step-by-step explanation:
Mr. Anderson drove 168 miles in 3 1/2 hours: d1 = 168 mi
t1 = 3 1/2 hr
t1 = 3.5 hr
v1 = the first rate
v1 = d1/t1
v1 = 168/3.5
v1 = 48 mph
He then drove 2 1/4 hours at a rate of 5 miles an hour faster than the first rate:
t2 = 2 1/4 hr
t2 = 2.25 hr
v2 = v1 + 5
v2 = 48 + 5
v2 = 53 mph
d2 = the distance
d2 = v2*t2
d2 = 53*2.25
d2 = 119.25 mi
during the total time 3 1/2 + 2 1/4 = 5 3/4 hr Mr. Anderson drove:
d1 + d2 = 168 + 119.25 = 287.25 mi.
Hope that helps :)
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Answer:
y= -7x+4
Step-by-step explanation:
(0,4)
(1,-3)
(2,-10)
4 is the y-intercept.
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
[tex]\frac{3^{n+4} - 3^n}{16}[/tex]
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes
[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]
Factorize
[tex]\frac{3^n(3^4 - 1)}{16}[/tex]
[tex]\frac{3^n(81 - 1)}{16}[/tex]
[tex]\frac{3^n(80)}{16}[/tex]
3ⁿ * 5
5(3ⁿ)
The expression can not be further simplified.
However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.
Tyrone weighed 1 box of macaroni on a scale and found it weighed 0.6 pounds. What could Tyrone do to find the total weight of 100 boxes of macaroni?
Answer:
He could multiply the amount one box ways by 100, or 0.6*100.
Step-by-step explanation:
describe the daily high temperature using the measures of center 34 31 35 24 31 33 36
(3x + 24) = (8x-11) what is the answer
Answer:
7
Step-by-step explanation:
(3x + 24) = (8x-11)
24=5x-11
35=5x
x=7
Answer:
7
Step-by-step explanation:
What is the solution to the system of equations graphed below?
I’m in the middle of the quiz, help me pls :c
Answer:
(4,2) is the answer
Find the value of x (approximately),
A = 177 cm?
x cm
13 cm
11 cm
12.8 cm
16.2 cm
14 cm
13.6 cm
Answer:. If the Area is 177, it should have been given in square centimeters.
If one side is 13 cm, the other side is about 13.6cm.
If one side is 11 cm, the other side should be about 16.1 cm. Even the choice is incorrect!
A/x = w
Step-by-step explanation: to find a side when the Area is given, divide the Area by the length or width given.
Find the perimeter of the triangle or rectangle. The sides of each triangle are equal in length. Could you help with 16 and 18?
Slope-intercept intro
What is the slope of y = 6x+2
Stuck? Watch a video or use a hint.
Answer:
slope = 6
Step-by-step explanation:
The equation of a line in slope- intercep form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x + 2 ← is in slope- intercept form
with slope m = 6
PLZ HALP!!!!!
The number in the chart are the math test scores of 10 seventh hrade students.
Which of the following is most affected by the lower score?
A.) the mean and median
B.) the median
C.) the mean
D.) the mode
Answer:
C
Step-by-step explanation:
The mean of a set of values is the average of all of them. The median is just the center most value when you arrange the values in order from least to greatest, or the average of the most central two if there is an even number of values. The mode is simply the value that shows up the most. The single, low outlier does not affect the median and mode almost at all, and only has a large influence on the mean, since it brings down the average. Therefore, the correct answer is choice C. Hope this helps!
Answer:
The mean... the median is in the middle, it won't change, the mode is the most repetitive number and it won't change neither... so the mean will be the most affected.
Will mark brainliest for whoever answers
Answer:
i dont khow
i guess true
Step-by-step explanation:
Answer:
true
your answer is correct
Step-by-step explanation:
PLEASE HELP I AM STUCK I WILL GIVE BRAINLIEST!!!!!!
Answer:
c. 2+4(n-1)
b. 4+3(n-1)
Step-by-step explanation:
Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.
2+4(n-1) is the equation.
Test this out with the fifth term.
t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18
Test it out with the first term, too.
t₁ = 2 + 4(n-1) = 2 + 4(0) = 2
If you follow the same pattern with part b, you find that the equation is
4+3(n-1)
Test it in the same manner.
Ariana buys an ant farm from a store near her home. The ant farm's price is $12 and the sales tax is 7%. What is the total price of the ant farm? 100 points
Answer: The total price for ant farm is $12.84
Step-by-step explanation:
The price of ant farm = $ 12
The sales tax on the price = 7%
Noe, 7% of $12 =
⇒The tax amount on the price = $0.84
So, the Taxed amount = The original price + Tax
$ 12 + $0.84 = $12.84
Hence the total price for ant farm is $12.84
A recent study was conducted to see whether customers buy more books online or in store they surveyed 100 online customers 100 customers in the store the data is not above what inference can be drawn
Answer: 2819
Step-by-step explanation: 1xxmxm
Answer:
Read explanation
Step-by-step explanation:
The inference can be made, that customers buy less books during in-store sales, and they buy larger amounts of books during online sales.
Show that if x, y, z are integers such that x^3+5y^3 = 25z^3, then x = y = 0.
Answer:
3125*k^9 + y^3 is an integer my closure property.
but 5^(1/3) is not an integer, which forces z to be irrational.
Note that there is no way an integer value can rationalize 5^(1/3)
Step-by-step explanation:
x^3 = 25z^3 - 5y^3
x^3 = 5 ( 5z^3 - y^3)
x = (5 ( 5z^3 - y^3) )^(1/3) must be an integer
= 5^(1/3) * (5z^3 - y^3)^(1/3)
Then (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k
5z^3 - y^3 = 15625*k^9
5z^3 = 15625*k^9 + y^3
z^3 = 3125*k^9 + (1/5)*y^3
z = ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)
a sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector
Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²
If y=2x-8, what is the value of x when y=0?
A)-4
B)0
C)4
D)8
Answer:
x=4
Step-by-step explanation:
y = 2x - 8
Let y =0
0 = 2x-8
Add 8 to each side
8 = 2x-8+8
8 = 2x
Divide each side by 2
8/2 = 2x/2
4 =x
factory makes car batteries. The probability that a battery is defective is 1/14. If 400 batteries are tested, about how many are expected to be defective?
A) 14
B) 371
C) 29
D)35
The required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.
The probability that a battery is defective is 1/14. The probability that a battery is defective is 1/14. If 400 batteries are tested, how many are expected to be defective s to be determined?
Probability can be defined as the ratio of favorable outcomes to the total number of events. it can be denoted as,
Probability = number of favorable outcomes / total sample space
The probability that a battery is defective given by,
P(D) = 1/14 = 0.072 or 7.2%
400 batteries are tested while multiplying the defective percentage to the number of batteries it gives the defective number of batteries
Number of defective batteries,
= 400 * 7.2%
= 400 * 7.2/100
=≈ 29
Thus, the required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.
Learn more about probability here:
brainly.com/question/14290572
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Solve the inequality 4y+3y>2y+14
Answer:
Y>14/5
Step-by-step explanation:
Hope I helped:)
Answer:
y>14/5
Step-by-step explanation:
4y+3y>2y+14
Step 1: Simplify both sides of the inequality.
7y>2y+14
Step 2: Subtract 2y from both sides.
7y−2y>2y+14−2y
5y>14
Step 3: Divide both sides by 5.
5y/5>14/5
y>14/5
The square has the same perimeter as the triangle.
What is the length of each side of the square?
32 cm
7 cm
8 cm
6 cm
Answer:
the answer is 8 cm because if you add up all the numbers of perimeter and then divide it by 4 that's all the sides of the square
What is the exact volume of the cylinder? Enter your answer, in terms of π, in the box.
m³
Answer:
Use the formula;
[tex]V=\pi r^{2}h[/tex]
if diameter is given, divide by 2 to find the radius,
if circumference is given, divide by π and 2 to find the radius,
if the length of an arch is given, find the total circumference, and find the radius.
Find the value of x?
x = ___ degrees
Answer:
x = 35°
Step-by-step explanation:
Hope it helps you in your learning process
90° + x = 125° (vertical angles)
x = 125° - 90°
x = 35°
Answer:
Step-by-step explanation:
i think it on a straight line so therefore its 180
125+90 (the right angle)
wich is 215
215 - 180 = 35
i think not quite sure
hopes this helps
ZC is opposite
B
А
A.
B. AC
C. C
D. AB
E. ZA
FAC and BC
Answer:
D
Step-by-step explanation:
∠ C faces side AB, thus
∠ C is opposite AB → D