Answers
Answer:
Step-by-step explanation:
7x - 42 + 5x = 180 {linear pair}
7x + 5x - 42 = 180 {Combine like terms}
12x - 42 =180
12x = 180 + 42
12x = 222
x = 222/12
x = 18.5
5x = 5*18.5 = 92.5
7x - 42 = 7*18.5 - 42 = 129.5 - 42 = 87.5
Related Questions
The product of 3 and a number decreased by 10
Answers
Answer:
5
Step-by-step explanation:
The x-intercept shows that you can buy short-sleeve shirts and long-sleeve shirts. The y-intercept shows that you can buy long-sleeve shirts and short-sleeve shirts.
Answers
Question:
You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.
Interpret their meaning.
Answer:
The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.
The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.
Step-by-step explanation:
Given
$10 per short sleeve
$15 per long sleeve
Budget = $300
The above can be represented as:
Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget
i.e.
[tex]10 * x + 15 * y =300[/tex]
[tex]10x + 15y =300[/tex]
To solve for the y intercept, we set x to 0
[tex]10 * 0 + 15y =300[/tex]
[tex]15y =300[/tex]
Divide through by 15
[tex]y = 20[/tex]
This implies that, you can buy 0 short sleeves and 20 long sleeves
To solve for the x intercept, we set y to 0
[tex]10x + 15 * 0 = 300[/tex]
[tex]10x = 300[/tex]
Divide through by 10
[tex]x = 30[/tex]
This implies that, you can buy 0 long sleeves and 30 short sleeves
entlying
A and B are forces acting on a falling object. Which
force, A or B, represents gravity in the diagram?
Force
is gravity because it attracts the ball
to the ground.
Answers
Answer:
B... Because indicates the direction of gravity because its direction is downward
Answer:b
Step-by-step explanation:
Use long division to find the quotient below.
(8x3 + 4x2 + 100) = (2x + 5)
A. 4x2 + 12x + 20
B. 4x2 + 8x+ 20
C. 4x2 - 12x+ 20
D. 4x2 - 8x + 20
Answers
Answer:
D
Step-by-step explanation:
D 4x2-8x+20
A family is comparing different car seats. One car seat is designed for a child up to and including 35 lb. Another car seat is designed for a child between 18 lb and 40
ib. A third car seat is designed for a child between 35 lb and 75 lb, inclusive. Model those ranges with compound inequalities.
Answers
Answer:
0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb
Step-by-step explanation:
Let the first car seat be A, the second car seat be B and the third car seat be C.
For the first car seat be A, the weight ranges from 0 to 35 lb inclusive. Since it is inclusive, we use the ≤ sign. So, the inequality is
0 ≤ A ≤ 35 lb
For the second car seat be B, the weight ranges from between 18 to 40 lb. Since it is between 18 lb and 40 lb, we use the inequality sign <. So, the inequality is
18 lb < B < 40 lb
For the third car seat be C, the weight ranges from between 35 to 75 lb inclusive. Since it is between 35 lb and 75 lb inclusive, we use the inequality sign < for the left side and ≤ for the right side. So, the inequality is
35 lb < C ≤ 75 lb.
So, the ranges are
0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb
x - 5 (x-1) = x - (2x - 3)
Answers
Answer:
x=2/3
Step-by-step explanation:
hope this helps :)
The solution to the equation is x = 2/3.
We have,
To solve the equation x - 5(x - 1) = x - (2x - 3), follow these steps:
- Distribute the -5 to the terms inside the parentheses:
x - 5x + 5 = x - 2x + 3
- Simplify the terms on both sides of the equation:
-4x + 5 = -x + 3
- Add -x from both sides of the equation:
-4x + x + 5 = -x + 3 + x
-3x + 5 = 3
-3x = 3 - 5
-3x = -2
x = 2/3
Therefore,
The solution to the equation is x = 2/3.
Learn more about equations here:
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Omar has a new credit card. He earns 300 reward points for every 100100100 dollars he spends.
If Omar earned 1800 reward points, how much money did he spend?
Answers
Answer:
Omar spent $600
Step-by-step explanation:
He gets 300 points for every $100 he spends and if he has 1800 points total then you divide 1800 by 300 to get the answer
I WILL GIVE BRAINLIEST Identify the coefficients in the following expression.
3x – 5y – z + 13
A. 3, -5, -1
B. 3, -5
C. 3, 5, 13
D. 3, 5, 1, 14
SHOW YOUR WORK PLZSSSSSSS
Answers
Step-by-step explanation:
the coefficients are the whole numbers accompanied by the variable. would be: 3, 5, 1, 13
parts of complex numbers
z = 4- 2i
Answers
Step-by-step explanation:
This is the trigonometric form of a complex number where
|
z
|
is the modulus and
θ
is the angle created on the complex plane.
z
=
a
+
b
i
=
|
z
|
(
cos
(
θ
)
+
i
sin
(
θ
)
)
The modulus of a complex number is the distance from the origin on the complex plane.
|
z
|
=
√
a
2
+
b
2
where
z
=
a
+
b
i
Substitute the actual values of
a
=
4
and
b
=
−
2
.
|
z
|
=
√
(
−
2
)
2
+
4
2
Find
|
z
|
.
|
z
|
=
2
√
5
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
θ
=
arctan
(
−
2
4
)
Since inverse tangent of
−
2
4
produces an angle in the fourth quadrant, the value of the angle is
−
0.4636476
.
θ
=
−
0.4636476
Substitute the values of
θ
=
−
0.4636476
and
|
z
|
=
2
√
5
.
2
√
5
(
cos
(
−
0.4636476
)
+
i
sin
(
−
0.4636476
)
)
Replace the right side of the equation with the trigonometric form.
z
=
2
√
5
(
cos
(
−
0.4636476
)
+
i
sin
(
−
0.4636476
)
)
What is the perimeter of the
figure below?
2 in
9 in
2 in
11 in
Answers
Rewrite the number in STANDARD NOTATION
Answers
The one with 5 zeros
John and gary are playing a game. john spins a spinner numbered with integers from 1 to 20. gary then writes a list of all of the positive factors of the number spun except for the number itself. gary then creates a new spinner with all of the numbers on his list. john then spins this spinner, and the process continues. the game is over when the spinner has no numbers on it. if john spins a 20 on his first spin, what is the maximum number of total spins (including the one he already made) that john can make before the game is over?
Answers
Answer:
4
Step-by-step explanation:
So let's say he gets a result of 20 from the first spin. This means that the factors of 20 would be:
1, 2, 4, 5 and 10. Since 20 is not taken into account when building the next spinner.
now, the possibilities for each of the given factors are:
1: 1
2: 1, 2
4: 1, 2, 4
5: 1, 5
10: 1, 2, 5, 10
So let's take the one with the biggest amount of possible factors, in this case it would be the 10. So let's say that on the second spin, he gets a 10.
So our possible factors for 10 would be:
1, 2, 5 since we don't take 10 itself into account.
So let's see the possible factors for 1, 2 and 5
1: 1
2: 1, 2
5: 1, 5
For the third spin, you could either get a 2 or a 5, it doesn't matter which result you get since for theh last spinner, it would only have a result of 1.
so for the fourth spin, you would get a 1 as an answer and the game ends there with a total of four spins.
Answer:
4
Step-by-step explanation:
If John spins a 20, then Gary's list contains the numbers 1, 2, 4, 5, 10. Thus, these are the numbers on the second spinner.
If John spins a 1, then Gary's list will be empty because there are no positive factors of 1 besides itself. Thus, the game will be over. This yields a maximum of 1 additional spin.
If John spins a 2, then Gary's list will only contain the number 1. Then on John's next spin, we will have the same scenario as above. This yields a maximum of 2 additional spins.
If John spins a 4, then Gary's list will contain the numbers 1 and 2. As we have already found above, spinning a 2 yields more additional spins than a 1, so the maximum additional spins in this case is 3 spins.
If John spins a 5, then Gary's list will only contain the number 1. As above, this will yield a maximum of 2 additional spins.
Finally, if John spins a 10, then Gary's list will contain the numbers 1, 2, and 5. Of these numbers, 2 and 5 have the highest maximum number of additional spins, so this case has a maximum of 3 additional spins.
Thus, of all of the possibilities, spinning a 4 or 10 next could result in 3 additional spins, so the maximum total number of spins is [tex]$\boxed{4}$[/tex]. These would be achieved by spinning 20, 10, 2, 1 or 20, 10, 5, 1 or 20, 4, 2, 1.
A kangaroo can jump at a speed of 40 miles per hour. Which representation shows the distance a kangaroo can jump at this rate?
Answers
Answer:
y=40x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
line with a slope of 2 and passes through point (3, 5)
Answers
Answer:
i dont get what you are trying to say is their a graph u can show
Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
In Joey's neighborhood the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats. How many families have cats, and how many families have dogs?
Answers
Answer:
10 families have cats
25 families have dogs
Step-by-step explanation:
The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...
dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10
There are 10 families with cats and 25 families with dogs.
Answer:
B D and E.
Step-by-step explanation:
What are two consecutive integers that their product, minus 147, is equal to -75?
Answers
Answer:
8 and 9 or -8 and -9Step-by-step explanation:
x - first integer
x+1 - the next consecutive integer
x(x+1) - their product
x(x + 1) - 147 = -75
x² + x - 72 = 0
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1-4(-72)}}{2}=\dfrac{-1\pm\sqrt{289}}{2}\\\\\\x_1=\dfrac{-1+17}2=8\,,\qquad x_2\dfrac{-1-17}2=-9\\\\x_1+1=9\,,\qquad\qquad\qquad x_2+1=-8[/tex]
can someone please help me
Answers
2 is B
3 is C
4 is D
:)
PLZ PLZ PLZ BRAINLIEST AND 20 POINTSJack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack has earned $8 less than Jillian. The following expression shows Jack's earnings:
2x − 8
In the expression, what does the first term represent?
Jack's earnings at the end of the week
The number of bags of apples Jillian sold
Jillian's earnings at the end of the week
The number of bags of apples Jack sold
Answers
Answer:
.
Step-by-step explanation:
.
We are given that Jack and Jillian sell apples at a produce stand .
We are given that an expression which shows Jack's earning=2x-8
We have to find that first term what represent in the given expression
Jillian earns for each bag of apples she sells=$2
Let Jillian sold number of bags of apples =x
Then ,Jillian earn total at the end of the week =
Jack has earned $ 8 less than Jillian earn
Therefore, total earning of jack=
In the given expression the first term 2x represent the earning of Jillian.
1. What is the relationship of angles 1 and 2?
2. What is the measure of angles 1 and 2?
3. What is the measure of angle 3?
4. Each of these triangles would classify by angles to
be:
PLS HELP
Answers
Answer:
Question 1 answer: the two angles are the same.
Question 2 answer: The value of the angles is 76.
Question 3 answer: The value of the angle is 36.
Question 4 answer: all angles in the figures are classified as acute angles
Step-by-step explanation:
First all of, using one of the triangle rules, both the angles are congruent. Then, because both 1 and 2 are the same and the triangle in 1 already have the other two angles, use 180 - 85 - 19 and get 76. Lastly moving on to the other triangle, same method, 180 - 76 -68 and get 36. Because all these angles are less than 90 degrees and anything less than 90 is considered to be acute.
I hope this helped
1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was
that if people listened to jazz music as they fall asleep, they will sleep for longer periods of time. For the experiment,
2 groups of people were created. Group I was placed in a quiet room where they went to sleep and they were timed
on how long they slept. The Group 2 was placed in a room where jazz music played softly as they began to sleep and
played throughout the night. As each group awoke, their sleep times were monitored.
Independent Variable:
Dependent Variable:
Experimental Group:
Control Group:
3 constants:
?
Answers
Answer:
Independent Variable: Jazz music
Dependent Variable: Sleeping Time
Experimental Group: people sleeping with jazz music
Control Group: people sleeping without jazz music
3 constants:
No of people in group
Jazz music
Sleep
Step-by-step explanation:
The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.
The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.
Experimental group on which experiment is being carried out.
Control group is which determines the changes in experimental group.
Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .
Evaluate each function at the given value
f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
Answers
Answer:
7Step-by-step explanation:
Givenf(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13To find f(-2)SolutionSubstituting n with -2
f(-2) = (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =16 - 40 + 8 + 10 + 13 = 7use the substitution method to solve the system of equations. Choose the correct ordered pair y=5x+7 and x=8
Answers
Answer:
y = 47
Step-by-step explanation:
y = 5x + 7
Since x is equal to 8, replace the x in the equation with 8 and solve.
y = 5(8) + 7
y = 40 + 7
y = 47
Answer: ( 8,47 )
Step-by-step explanation: took the quiz
A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B
Answers
Answer:
D
Step-by-step explanation:
Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.
HEEEEEEELLLLLPPP ME please
Answers
Answer:
1 and 4/7
Step-by-step explanation:
In 1980 the social security tax was 5.83% up to a maximum of 25,900 if Nina earned $34,200 in 1989,how much did she pay in social security taxes?
Answers
Answer:
1882
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Travis would like to buy some toys to donate to charity. The expression 9d + 2c +3t
represents the total that Travis spent on toy trains, c cars, and d dolls in dollars. How much
did each car cost?
*ANSWER FAST PLEASE*
Answers
Answer:
Step-by-step explanation:
D. $14
Triangles ABC and DEF are similar. Find the length of segment DF?
Answers
Answer:
5.71
Step-by-step explanation:
you divide 2 by 1.34 and then divide 4 by that
Can someone pls gave me an idea for a business letter.
U get brainliest if i like it!
Answers
Answer:
Try writing to your teacher, why students should have game time on Fridays.
Step-by-step explanation:
Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.
The lower quartile of a set of data is calculated by __________.
A.
averaging the lower half of the data set
B.
finding the median of the lower half of the data set
C.
finding the mean of the data set remaining after removing the lower half
D.
subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set
Answers
Step-by-step explanation:
D.
subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set
The lower quartile of a set of data is calculated by subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.
What is a quartile ?"A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations.
Just like the median divides the data into half so that 50% of the measurement lies below the median and 50% lies above it, the quartile breaks down the data into quarters so that 25% of the measurements are less than the lower quartile, 50% are less than the median, and 75% are less than the upper quartile."
From the definition it is clear that,
lower quartile of a set of data is calculated by :
subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.
Hence, D is the correct option.
To know more about quartile here
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Can you guys help me please
Answers
Answer:
No it's not a function
Step-by-step explanation:
Every point line up evenly when it's vertical. just take your pencil and put it on the circle vertically and you will see that the points will line up
So it's not. function
pls mark brainiest because i didn't waste your time lol
Answer:
no
Step-by-step explanation:
the answer is no because each value in the domain is associated with exactly one point in the codomain, but a line passing though the circle generally intersects the circle at two points