Answer:
4
Step-by-step explanation:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?
Step-by-step explanation:
wall 25×12=300
2 walls = 600
wall2 20×12=240
2 wall2= 480
600+480= 1080 sq ft
The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon
What is area of rectangle ?"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."
Given,
A gallon of paints covers 300 square feet.
Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet
Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet
Total area of the room is = 480+600 = 1080 square feet
The paint required for 1 feet is = 1/300
So, the paint required for 1080 feet is = 1080/300 =3.6
Hence, the paint required to cover the entire room is = 3.6 gallon
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6 rational numbers between -2/3 and 1/2
Answer:
-0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
Step-by-step explanation:
We have to calculate 6 rational number between -2/3 and 1/2
So,
[tex]\frac{-2}{3} =-0.6\\\frac{1}{2} =0.5[/tex]
Now,
Rational numbers between -2/3 and 1/2 will be -0.5, -0.4,-0.3,-0.2,-0.1 and 0.1
Can someone Find X and Y
The answer is in the image. Y is 25 because the legs are the same (45 and 45 degree angles) and x is found with trigonometry or can be √1250 (simplified as 25√ 2) using pythagorean theorem or by using 45 45 90 triangle rule.
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
What is the product of 7x-4 and 8x+5?
Answer:
15x+1
have a nice day
Answer:
5x+1 is the answer for your question
Find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4
What is the weight of a science book if its mass is 250g
2.45 N
weight = mass x 9.8 m/s^2
Answer:
Here,
Mass ( m ) = 250g = (250/1000) kg =0.25 kg
g =9.8 m/s^2
Weight ( W ) = ?
We know that,
Weight ( W ) = m*g [Where g is acceleration due to gravity]
= (0.25*9.8) N
= 2.45 N
Hope it helps!
How many solutions exist for the system of equations below?
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]You want to invest in companies belonging to Gispa Group of
1
Companies, Inc. so you did some research and found out that companies belonging to this group has an average gain of
0.8
percent and standard deviation of
0.7
percent. Given that a positive percent (gain) means profit and a negative percent means a loss. If you choose
20
companies, what is the probability that the companies are gaining more than
1
percent?
Answer:
1.2803
Step-by-step explanation:
According to the Question,
Given That, You want to invest in companies belonging to Gispa Group of 1 Companies, Inc. so you did some research and found out that companies belonging to this group have an average gain of 0.8 percent and a standard deviation of 0.7 percent. And, a positive percent (gain) means profit and a negative percent means a loss. If you choose 20 companies.Therefore, We have Average Gain(ц) = 0.8%
Standard deviation(σ) = 0.7%
Number of Companies(n) = 20
So, the probability that the companies are gaining more than 1 percent is[tex]X_{i}[/tex] = (σ² × n) / ц ⇒ (0.7²×20) / (0.8*10) = 1.2803
The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?
Given:
The area of a flower garden is 60 m².
One third of it was used for growing roses and the remaining area was divided into two equal parts.
To find:
The area of each remaining part.
Solution:
It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:
[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]
[tex]\text{Remaining}=60-20[/tex]
[tex]\text{Remaining}=40[/tex]
The remaining area was divided into two equal parts. So, the area of each remaining part is:
[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]
[tex]\text{Area of each remaining part}=20[/tex]
Therefore, the area of each remaining part is 20 m².
The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Answer:
32
Step-by-step explanation:
area of rectangle: 6*4=24
area of top triangle: 4*2=8
24+8=32 total area
You are standing 30 meters from a hot air balloon that is preparing to take
off. The angle of elevation from you to the top of the hot air balloon is 28º. Find the
distance from you to the top of the balloon. (Round to two decimal places)
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, l = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, d, the height of the balloon, h and the horizontal distance to the balloon, l, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
[tex]cos\angle X = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
From which we get;
[tex]cos\angle \theta = \dfrac{l}{d}[/tex]
[tex]cos(28^{\circ}) = \dfrac{30 \ m}{d}[/tex]
[tex]d = \dfrac{30 \ m}{cos(28^{\circ}) } \approx 33.977 \, m[/tex]
The distance to the top of the balloon, d ≈ 33.977 m
what is the solution to x^2 + 6x + 7
Answer:
x2+6x+7
Step-by-step explanation:
there are no like terms
i think you are missing something in your question (like the equal sign?)
reply in comment so i can help:)
Select the numbers that make the inquality true. selct all that apply. m > 0
A. 0
B. 1
C. 2
D. 3
E. - 1
Answer:
1, 2, 3
Step-by-step explanation:
An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.
a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.
Answer:
(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
Step-by-step explanation:
According To the Question,
Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
8 : 6 <or> 4 : 3
Step-by-step explanation:
8 : 6 <or> 4 : 3
Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.
4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
Someone please help me
SOMEONE PLEASE HELP MEEEE
Answer:
[tex]-180^{\circ}[/tex]
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
Answer:
-180 because its through 0
hope this helps!
4(2.25w+3.1)-2.75w=44.9
Answer:
w = 5.2
Step-by-step explanation:
4(2.25w + 3.1) - 2.75w = 44.9
9w + 12.4 - 2.75w = 44.9
6.25w + 12.4 = 44.9
6.25w = 32.5
w = 5.2
4(2.25w+3.1)-2.75w=44.9
9w+12.4-2.75w=44.9
9w-2.75w+12.4=44.9
44.9-12.4=32.5
9w-2.75w=32.5
6.3w/6.3=32.5/6.3
=5 10/63
Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
Which equation represents "the sum of eight times a number and seven is twice the number"?
8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N
What is the slope of a line passing through the points (3,9) and (5,10)?
Answer:
1 / 2 or 0.5
Step-by-step explanation:
use the formula ; m = y2 - y1 / x2 - x1
where y2 = 10
y1 = 9
x2 = 5
x1 = 3
If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
I'LL MARK BRAINLIEST !!!
A temperature was 5º on Monday. On Tuesday, the temperature was -4º. What is the difference of the two temperatures?
Answer:
WHEN YOU COMPARE THE TEMPERATURE ON MONDAY TO THE TEMPERATURE ON TUESDAY, THE TEMPERATURE ON TUESDAY IS COLDER.
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
The solution is:
48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
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complete question :
alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?
Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?
$9,000
$4,000
$5,000
$6,500
