Answer:
A) x = 4, y = 3.
B. x = 0, y = -4.
Step-by-step explanation:
A) 2x+ 3y =11 .........(a)
x+ y = 4.......(b)
Multiply equation (b) by 2:
2x + 2y = 8
Subtract this from equation (a):
y = 11-8 = 3.
Substitute y = 3 into equation (a):
2x + 3*1 = 11
2x = 11 - 3 = 8
x = 4.
B) 4x+ 3y = -12
2x - y= 4
Multiply second equation by 2:
4x - 2y = 8
Subtract this from first equation:
3y - (-2y) = -12 - 8
5y = -20.
y = -4.
Substitute y = -4 into equation 1:
4x + 3*(-4) = -12
4x = -12 + 12 = 0
x = 0.
I need the green box with question mark I can’t get the second part
Answer:
-14
Step-by-step explanation:
-8 = 3/2 x 4 + ?
-8 = 6 + ?
-8 - 6 = -14
Your answer will be -14.
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Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15 feet in length by 10 feet in width by 8 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $3 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $30 and can cover 275 ft².
What is the total cost of the hardwood flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
Answer:
Total floor: 150 sq ft = $450
Wall and Ceiling: 550 sq ft = $60
Total cost $510
Step-by-step explanation:
Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft
150 sq ft * $3 = $450
Walls: 2(H * L) = 2(8*15) = 240 sq ft
2(H * W) = 2(8*10) = 160
Total walls sq ft = 400 sq ft
Ceiling is same as floor = 150 sq ft
Total sq ft painted = 550 sq ft
550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60
$450 floor + $60 paint = $ 510
Answer:
$510
Step-by-step explanation:
The floor of the room measures 15 ft in length and 10 ft in width.
The area of the floor is length × width = 15 ft × 10 ft = 150 ft².
The hardwood costs $3/ft².
The cost of the hardwood is: $3/ft² × 150 ft² = $450
The area of the walls is the lateral surface area of the rectangular prism.
The lateral surface area of the rectangular prism is the perimeter of the base times the height.
perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft
height = 8 ft
lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²
The paint costs $30/(275 ft²).
She needs to paint 400 ft².
400 ft² / 275 ft² = 1.45
She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.
Cost of paint: 2 × $30 = 60
Total cost of hardwood and paint = $450 + $60 = $510
I'm hopeless at these pls help
Answer:
x = -14 I hope this helps :)
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.
How to get the area of the rectangle?
For a rectangle of length L and width W, the area is:
A = L*W
And the perimeter is:
P = 2*(L + W).
In this case, we know that the length is 5ft longer than the width, so we can write:
L = W + 5ft
We also know that the perimeter is 50ft, so we can write:
P = 50ft = 2*(W + 5ft + W)
50ft = 4*W + 10ft
40ft/4 = W = 10ft
So the width is 10 ft, and then the length will be:
L = 10ft + 5ft = 15ft
So the area of the rectangle is:
A = 10ft*15ft = 150 ft^2
She will need 150 ft^2 of flooring.
If you want to learn more about areas, you can read:
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Henry has a part-time job selling computers. He works 6.5 hours each day,
• The function p(x) = 65 + 25x models his daily earnings, where x is the number
sells during the day.
• Henry sells 3 to 10 computers per day.
Which interval contains all of the values in the range of the function
(A) 3 5 p(x) S 10
(В
10 s p(x) S 185
C
75 s p(x) S 250
D) 140 S P(x) S 315
function : p(x) = 65 + 25(x)
for 3 sells
p(3) = 65 + 25(3)p(3) = 140for 10 sells
p(10) = 65 + 25(10)p(10) = 315So,
140 ≤ p(x) ≤ 315
Answer:
D) 140 ≤ p(x) ≤ 315
Step-by-step explanation:
Domain
Henry sells 3 to 10 computers per day3 ≤ x ≤ 10Range
To find the range, input the values of the domain of the functionp(3) = 65 + 25(3)p(3) = 65 + 75 = 140p(10) = 65 + 25(10) p(10) = 65 + 250 = 315Range ⇒ 140 ≤ p(x) ≤ 315Given that lines b and c are parallel, select all that apply.
Which pairs of angles are congruent?
3 and 7
2 and 8
3 and 5
1 and 4
Answer:
3 and 7
1 and 4
Step-by-step explanation:
[3 and 7]
These two angles are prooved congruent by corresponding angles
[1 and 4]
These two angles are prooved congruent by opposite vertical angles.
You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find the probability of drawing a marble that is not yellow.
Answer:
The probability is [tex] \frac{3}{5} [/tex]Step-by-step explanation:
Green marbles = 4
Blue marbles = 6
Yellow marbles = 8
Red marbles = 2
[tex]4 + 6 + 8 + 2 = 20 \: marbles[/tex]
The probability of drawing marble not yellow:
[tex]4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5} [/tex]
Brainliest please.
pick correct anser for 10 points !!!
Answer:
[D] a/b < d
Step-by-step explanation:
a = -1.25
b = 1
c = 0.5
d = 1.25
Now Solve the statement:
a/d > c
substitute
-1.25/1.25 which is -1
-1 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c < ab
substitute
0.5 < (-1.25)(1)
0.5 < -1.25
Thus, this is false.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a > bc
-1.25 > (1)(0.5)
Hence,
-1.25 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a/b < d
-1.25/1 < 1.25
-1.25 < 1.25
Thus, this is true
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hence, Answer is [D] a/b < d
[RevyBreeze]
Please a quick question
Enter an expression equivalent to a^5 in the form of a^x/a^y.
Answer:
a^7/a^2Step-by-step explanation:
The exponents subtract. really easy 7-2=5
There are infinite possiblities to this.
SonicIsCoool, im at your service if you need more help :)
Thank you.
Answer:
[tex]\frac{a^{8} }{a^{3} }[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]
HELLLO!HELLO HELP PLIS
Answer:
984m
Step-by-step explanation:
so all your doing is:
41 x 24 = 984m
Answer:
984
Step-by-step explanation:
It's so easy. Multiply 24 and 41 to get the area of the rectangle
Two angles are supplementary angles.
One angle measures 58°. The other angle
measures (3n + 5)º What is the value of n?
A.) 9
B.) 32
C.) 39
D.) 122
a is the answer because it makes sense and it's very logical
The sum of 3 consecutive numbers is 240 what are the 3 numbers?
Answer:
79, 80, 81
Step-by-step explanation:
Creating an equation.
let a = first number , a + 1 = second number and a + 2 = third number
the sum of these three consecutive numbers is 240
this means that , a + ( a + 1 ) + ( a + 2 ) = 240
Solving for x using the equation created.
a + ( a + 1 ) + ( a + 2 ) = 240
==> remove parenthesis
a + a + 1 + a + 2 = 240
==> combine like terms
3a + 3 = 240
==> subtract 3 from both sides
3a = 237
==> divide both sides by 3
a = 79
Finding the 3 numbers
First number = a
a = 79 so first = 79
Second number = a + 1
a = 79 so second number = 79 + 1 = 80
Third number = a + 2
a = 79 so third number = 79 + 2 = 81
The three numbers are 79, 80 and 81
Answer:
79+80+81=240
Step-by-step explanation:
240/3=80
take 1 away from 80 and add 1 to 80
can anyone help me with this problem? Please it would be great.
Find the missing side of the triangle.
Answer:
[tex]\displaystyle 45 = x[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]
I am joyous to assist you at any time.
Answer choices
A) eleven twenty sevenths
B) eighteen twenty sevenths
C) eleven thirds
D) eighteen thirds
Answer:
The answer is D) eighteen thirds.
Step-by-step explanation:
9/1 times 2/3
equals 18/3
18/3 is "eighteen thirds"
please answer this i need help
Answer:
X=70⁰
Step-by-step explanation:
Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.
Answer:
x=70
Step-by-step explanation:
Angle X and 70⁰ are corresponding angles.
A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
How to calculate the probability?The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
Read more about probability at:
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or 50,000 registered voters, 400 were randomly surveyed. their voting preferences are listed the table below, predict how many of the registered voters would vote for mulroney.
Answer: 12,500
Step-by-step explanation:
Since 25% voted for Mulroney, we will find 25% of 50,000.
25% -> 0.25
0.25 * 50,000 = 12,500
I predict that 12,500 registered voters would vote for Mulroney.
The present ages of Tina and Mina are in the ratio of 4:5 if the sum of their ages after three years would be 33 years find their present age
Answer:
Tina is 12 and MIna is 15
Step-by-step explanation:
Age problems can often be worked by backing out any of the changes in age so as to match the conditions specified at a given time.
Here, the ratio is given for now. The sum of the two ages is 6 years less now than it will be after 3 years, so is now 33 -6 = 27.
The sum of ratio units now is 4+5 = 9, so each ratio unit stands for 27/9 = 3 years of age. The ratio of current ages is ...
3×4 : 3×5 = 12 : 15
Tina is 12 and MIna is 15.
_____
Check
After 3 years, their ages will be 15 and 18, which will total 33.
I will give brainiest find a linear inequality with the following solution set. each grid line represents one unit.
(give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1.)
Answer:
Step-by-step explanation:
Can someone help me with this wuestion please
Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?
Answer:
There are 45 stamps from Africa
Step-by-step explanation:
10% of 150 is 15
30% of 150 is 45
15*3 = 45
4. The width of a rectangle is (2x - 2) and
its length has a measure of (2x + 2).
a. What is the perimeter of the rectangle?
[tex]p = 2(l + w)[/tex]
[tex]p = 2(2x - 2 + 2x + 2)[/tex]
[tex]p = 2(4x)[/tex]
[tex]p = 8x[/tex]
GEOMETRY HELP MEEE D:!!!
Answer:
The answer for the x would be 20.25 ft.
Step-by-step explanation:
Check the underlined writing for the 2nd easier and more efficient method
The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.
Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.
If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9
Which means that they both have the same scale
Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.
2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.
Hope this helps!
"The difference of six and twice a
number is five."
Answer:
x = 1/2
Step-by-step explanation:
twice a number = 2x
difference means subtract 2x - 6 = 5
2x - 6 = 5 Add 6 to both sides.
2x + 6 - 6 = 5 + 6 Combine
2x = 11 Divide by 2
2x/2 = 11/2
x = 5.5
Is the answer different if it is done the other way around for the difference?
6 - 2x = 5 Subtract 6 from both sides
-2x = 5-6 Combine
-2x = - 1 Divide by -2
-2x/-2 = -1/-2
x = 1/2
Yes they are different. Following the way the question is written, I would choose the second method.
Gary wanted to determine the average height of boys at the high school. His older brother is on the basketball team, so he asked him to measure his teammates. After interpreting the results, Gary determined the average height of a high-school-aged boy to be 6 feet, 1 inch. HELP ASAPPPPP
Would you consider these results to be valid?
Yes, because only high-school boys were surveyed.
Yes, because the results were obtained randomly by measuring the boys basketball team.
No, because boys on the basketball team are likely to be taller than the average high school boy.
No, because there are no girls surveyed.
Answer:
The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
[tex] \binom{4a + 3}{5} - \binom{2a + 3}{3} [/tex]
simplify the fraction
I assume your question was to simplify the following fraction ;
[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]
Taking LCM will yield ;
[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]
[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]
[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]
This is the required answer
What does the fair and accurate credit transactions act provide for consumers? a. it entitles consumers to get one free credit report per year from the big three reporting agencies. b. it entitles consumers to notify credit reporting agencies if their identity is stolen. c. it entitles consumers to file a complaint with the federal trade commission if their identity is stolen. d. it entitles consumers to find out about who has access to personal information and if it is being handled securely.
Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.
What is fair and accurate credit transactions act?Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.
The objective of fair and accurate credit transactions act-
To improve the protection of customer.Ensure provisions in case of identity theft.Provide access to consumers to find out about who has access to personal information.Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.
Option d is the correct option.
Learn more about the fair and accurate credit transactions act here
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Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.
Step-by-step explanation: quizlet
What is the correct answer?
Answer:
2.38 yds^3
Step-by-step explanation:
Volume of a box = width x length x height
Now we multiply!!
? = 1 x 1.7 x 1.4
1 x 1.7 x 1.4 = 2.38
Have an amazing day!!
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[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 1.7 \times 1 \times 1.4}[/tex]
[tex] \mathsf \purple{v = 2.38 {yd}^{3} }[/tex]
2.38 cubic yards
A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?
Answer:
Length = 3.6
Width= 2.4
Step-by-step explanation:
A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?
So a rectangle has 2 longer sides and 2 shorter sides.
Knowing the length is 1.5 times the width
and perimeter of 12 centimeters.
The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.
1.5w+1.5w+w+w=12
5w=12
12/5=w
w=2.4
To figure the length just multiply 1.5*2.4=3.6
And That is how you solve it :)
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50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Use a recursive formula to determine the time she will complete station 5. Show your work.
Geometric Recursive Formula
f(n) = f(n − 1) • r
Answer:
ask 23
Step-by-step explanation:
(1, 2), (2, 4), (3, 8), (4, 16)
Use a recursive formula to determine the time she will complete station 5. Show your work.
Geometric Recursive Formula
f(n) = f(n − 1) • r
Answer:
f(n) = f(n − 1) • 2
Step-by-step explanation:
f(1) = 2
f(2) = 4
f(3) = 8
f(4) = 16
Geometric Recursive formula: f(n) = f(n − 1) • r
where r is the common ratio
To determine r, divide one term by the previous term:
[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]
Therefore, f(n) = f(n − 1) • 2