A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
- 2x + 3y = 7
- 4x + 9y = 27
GIVING BRAINLIEST!!!!!!!!!!!!!!!!!
Answer:
C. 36 degrees
Step-by-step explanation:
Exterior angles sum = 360 degrees
72+144=216
360-216=144
Supplementary angles(Angles on opposite sides of the transversal) sum = 180
180-144= 36
Therefore, x=36 degrees
Answer the two questions below. THANKS!!
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Find the sum 5.5+7.25-5.5+(-7.25)
Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.
1 answer
Missing: 7.25-5.5 7.25)
Step-by-step explanation:
A seed is planted 2 inches below the ground.
The plant grows 6 inches from the seed.
How tall is the plant above the ground?
Answer:
4
Step-by-step explanation:
its planted 2 inches below the ground and it grows 6 from the seed. it has to grow 2 inches to meet the surface of the dirt the remaining is above. therefore 6-2= your answer
Are the expressions equivalent? Use j = 3 and j = 8 to determine if they are.
7(j – 2) 4j – 5
No, because when j = 8, the values of the expressions are different.
Yes, because when j = 3, the value of both expressions is 7 and when j = 8, the value of both expressions is 42.
Yes, because when j = 3, the value of both expressions is 7.
Yes, because when j = 8, the values of the expressions are different.
30 points to anyone who gives me the answer pls I NEED HELP
Answer:
No, because when j = 8, the values of the expressions are different.
Step-by-step explanation:
if its wrong i'm sorry
Answer:
the one above me is right
Step-by-step explanation:
evidences
A random sample of size 1,000 is taken from a population where p = .20.
Find P( < .18).
A. .9429
B. .0571
C. .2643
D. .0793
The value of P( < 0.18) is 0.057.
What is p value?The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.
Given:
Sample Size = 1000
and, p= 0.20
So, P( P' < 0.18)
= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )
= P ( P'- P / √ P(1- P)/ n < -0.02/ 0.0126)
= P ( P'- P / √ P(1- P)/ n < - 1.582)
= P( z < - 1.582)
= 0.056939
= 0.057
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the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
) B. Communicate Precisely LaTanya wants to place
a lamp halfway between the chairs at points C
and D. How can you find the point where the
lamp should go?
C
Hi, you've asked an incomplete question. I attached the missing caption that completes the question.
Explanation:
By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;
For the vertical axis, the distance is 4For the horizontal axis, the distance is 2Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.
Uncle Drew scored 28 points in 5 minutes during a game. Write an equation that shows the relationship between, P, points and, M, minutes played. P= OR M=
Answer:
4.8
Step-by-step explanation:
Which one is bigger 7.4 or 7 2/5?
Answer:
None, They are Both Equal
Step-by-step explanation:
7 2/5 = 7.4
7.4 = 7.4
So, 7.4 = 7.4
Hence, none of them are bigger
20
Question 2- Given the points (0,5) (1, 1) find the slope using the slope
formula *
-4.A
4.B
2C
-2D
Answer:
Slope = -4
Step-by-step explanation:
(x₁ , y₁) = (0 , 5) & (x₂ , y₂) = (1 , 1)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-5}{1-0}\\\\=\frac{-4}{1}\\= -4[/tex]
Which is the better buy?
48-fluid-ounce container of laundry detergent for
$5.28
3-gallon container of laundry detergent for $34.56
Answer:
3-gallon container of laundry detergent for $34.56
Step-by-step explanation:
48-fluid-ounce container of laundry detergent for $5.28
5.28 : 48 = 0.11
check your work: 0.11 x 48 = 5.28
so for the first offer you will be paying $0.11 per ounce of laundry detergent.
3-gallon container of laundry detergent for $34.56
1 gallon = 128 ounces
3 gallons = 384 ounces
34.56 : 384 = 0.09
check your work: 0.09 x 384 = 34.56
for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.
hope this helps!
The sum of infinity of the series 2/3 – 4/3² + 2/3³ + 4/3⁴ is
Answer:
[tex] \frac{3}{4} - \frac{2}{4} = \frac{1}{4} [/tex]
Answer:
7/20Step-by-step explanation:
It seems there are two patterns in the series:
2/3, 2/3³, ... with a₁ = 2/3 and r = 1/9- 4/3², 4/3⁴, ... with a₁ = -4/9 and r = -1/9Using sum of infinity of the geometric series formula:
S∞ = a₁/(1 - r)Applying this to both patterns:
S₁ = 2/3÷(1 - 1/9) = 2/3 ÷ 8/9 = 2/3×9/8 = 3/4S₂ = -4/9÷(1 - (-1/9)) = -4/9÷10/9 = -4/9×9/10 = - 2/5Sum of the two results:
3/4 + (-2/5) = 5/5*3/4 - 4/4*2/5 =15/20 - 8/20 = 7/20Select all that apply.
A graph shows _____ in picture form.
variables
facts
color
statistics
sums
data
Answer:
Data
Step-by-step explanation:
Find the next three terms of each arithmetic sequence.
4. 9, 13, 17, 21, 25, ...
6. 29, 35, 41, 47, ...
5. 4, 0, -4, -8, -12,...
Answer:
(4) 29, 33, 37
(6) 53, 59, 65
(5) -16, -20, -24
Step-by-step explanation:
Alonzo wrote the equation x=2+4y-5 solve for y
hi
if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4
conclusion y = (x+3)/4
Mark makes a 4.5% commission on all electronics at RC Willey's how much did he make
this month by selling $8,000 in electronics?
find the equation of the line shown
Answer:
y = x + 1
Step-by-step explanation:
find slope (y2-y1)/(x2-x1)
pick 2 points (0,1) and (1,2)
(2-1)/(1-0) = 1/1 = 1
Since (0,1) you know that y intercept is 1
the equation in slope intercept form: y = x + 1
Jose gets his hair cut for $12. He gives his barber a
15% tip. How much does he give the barber for a tip?
(If you have big brain plz help me)
Answer: $3
Step-by-step explanation:
If you want to tip 15%, then the total tip amount would be $2.40 plus half of that again ($1.20), which is $3.60.
Jose gives the barber a $1.80 tip.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given information:
Jose gets his hair cut for $12.
He gives his barber a 15% tip.
To calculate the tip, we need to find 15% of the cost of the haircut.
15% can be written as a decimal as 0.15.
So, the tip amount is:
0.15 x $12 = $1.80
Therefore, Jose gives the barber a $1.80 tip.
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Which of the following numbers can be expressed as repeating decimals? (15 points!!!)
2 over 9 , 3 over 8 , 5 over 6 , 5 over 4
3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4
PLEASE HELP
Write the equation in standard form
Answer:
standard form: Ax + By = C
Slope-intercept form: y=mx+b
where m is the slope and b is the y intercept.
first lets put this into intercept form:
y=-5x+b
(4, 0) is the x intercept.)
To find what b is plug in the point 4, 0 for the x and y of the equation:
0=-5(4)+b
0=-20+b
20=b
b=20
Now that we have the slope, m, and the y intercept, b, we can make our equation
y=-5x+20
Now we need to transform this equation into standard form like so:
y=-5x+20
5x+y=20 - this is your answer
Step-by-step explanation:
Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the dough so that the probability your cookie contains no chip is 0.02?
Answer:
391 chips
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(X = k) = (e^(-λ) × λ^(k))/k!
Let n be the number of chips she puts in the dough.
Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.
So, λ = n/100
Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.
Thus;
P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02
This gives;
e^(-λ) = 0.02
Putting λ = n/100, we have;
e^(-n/100) = 0.02
-n/100 = In 0.02
-n/100 = -3.912
n = -100 × -3.912
n ≈ 391 chips
If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?
Answer: 5 days
Step-by-step explanation:
5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days
So 7 workers can do this job in
35:7=5 days
cruise ship wave 176 miles in 8 hours
18 miles per how
Answer:
22 mph
Step-by-step explanation:
blablablablablablablabla
Answer:
22 miles
Step-by-step explanation:
please have and great day and btw you are loved ok have a great day byee!!
A ratio can be expressed __ as a description, with a ___ , or as a ___.
Answer:
Answer - words, colon, fraction
Step-by-step explanation:
A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.
EXPLANATION:
A ratio is a statement of the quantitative relationship between two numbers in a given scenario.
- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"
- It can be expressed with a colon. E.g. "2:8"
- It can be expressed as a fraction. E.g. "2/8"
Aidan has been offered a job to paint the outside of a barn. If one gallon costs $35 and covers 550 square feet. How much will it cost to paint the barn with one coat?
Complete Question
The diagram of the barn is shown on the first uploaded image
Answer:
The cost is [tex]C = \$ 530[/tex]
Step-by-step explanation:
From the question we are told that
The cost of one gallon of paint is [tex]c = \$35[/tex]
The area the one gallon of paint covers is [tex]A = 550 \ square\ feet[/tex]
Generally from the diagram the region of the barn which can be painted is mathematically represented as
[tex]A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )[/tex]
=> [tex]A = 8336 \ ft^2[/tex]
From the question
1 gallon covers 500 square feet
x gallon will cover 8336 square feet
So
[tex]x = \frac{8336}{550}[/tex]
=> [tex]x =15 \ gallons[/tex]
Generally the cost of 15 gallons of paint is mathematically represented as
[tex]C = c * x[/tex]
=> [tex]C = 15 * 35[/tex]
=> [tex]C = \$ 530[/tex]
A photo 5 inches wide and 8 inches long is enlarged.
How long is the new photo if it is (1)10 inches; (2)15 inches; (3)8 inches wide?
The new photo is_long if it is 10 in wide.
The new photo is_long if it is 15 in wide.
The new photo is_long if it is 8 in wide.
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
Substitute the values then we get
Hence, the length of photo=16 in
2.Width=x=15 in
Again using the formula
Hence, the length of new photo=24 in
3. Width =x=8 in
Substitute the values in the given formula
Hence, the length of new photo=12.8 in
Answer:
1.16 in
2.24 in
3.12.8 in
Step-by-step explanation:
We are given that
Width of photo=5 in
Length of photo=8 in
We have to find the length of new photo in each case.
1. Let x represent the width and y represents the length of photo.
When width increase then length of photo is also increases then it is direct proportion.
Substitute the values then we get
Hence, the length of photo=16 in
2. Width= x=15 in
Again using the formula
Hence, the length of new photo=24 in
3. Width = x=8 in
Substitute the values in the given formula
Hence, the length of new photo= 12.8 in
Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9
Answer:
0.7 and 0.8
Step-by-step explanation:
First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.