Answer:
20y = -5x + 10
y = -1/4x + 1/2
y - 3 = -1/4(x - 8)
y - 3 = -1/4x + 2
y = -1/4x + 5
Step-by-step explanation:
HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form
x−c=d, where c and d are some numbers, to satisfy the given solution set.
x= -8, and x= -4
a) The absolute value equation is |x - 11| = 6.
b) The absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.
To write the absolute value equation in the form |x - c| = d for the given solution sets, we need to find the midpoint (c) between the two values and the distance (d) from the midpoint to either of the values.
b) For the solution set x = 5, x = 17:
Midpoint (c) = (5 + 17) / 2 = 22 / 2 = 11
Distance (d) from the midpoint to either value (e.g., 5) = |5 - 11| = 6
So, the absolute value equation is |x - 11| = 6.
d) For the solution set x = -1/2, x = 1/2:
Midpoint (c) = (-1/2 + 1/2) / 2 = 0 / 2 = 0
Distance (d) from the midpoint to either value (e.g., 1/2) = |-1/2 - 0| = 1/2
So, the absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.
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Question
HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form
|x−c=d|, where c and d are some numbers, to satisfy the given solution set.
a) x=5, x=17
b) x=-1/2, x=1/2
what does y equal in this equation 5(y+2/5)=-13
Steps to solve:
5(y + 2/5) = -13
~Distributive Property
(5 * y) + (5 * 2/5) = -13
~Simplify
5y + 2 = -13
~Subtract 2 to both sides
5y + 2 - 2 = -13 - 2
~Simplify
5y = -15
~Divide 5 to both sides
5y/5 = -15/5
~Simplify
y = -3
Best of Luck!
Find the volume of the figure.
A brick patio measures 10ft by 12ft by 4in. Find the volume of the bricks. If the density of brick is 130 pounds per cubic foot, what is the weight of the patio in pounds?
Final answer:
The volume of the brick patio is 40 cubic feet, and by using the density of brick (130 pounds per cubic foot), the weight is found to be 5200 pounds.
Explanation:
To find the volume of the brick patio, we multiply its length, width, and height, keeping in mind to convert all dimensions to the same unit. The brick patio measures 10ft by 12ft by 4in. Since 1 foot is equal to 12 inches, the height in feet is 4in * (1ft / 12in) = 1/3 ft. Now, the volume can be calculated as follows:
Volume = Length × Width × Height
Volume = 10ft × 12ft × (1/3)ft
Volume = 120ft × (1/3)ft
Volume = 40 cubic feet.
To find the weight of the patio, we use the given density of brick, which is 130 pounds per cubic foot, and the volume that we have just calculated:
Weight = Density × Volume
Weight = 130 lbs/ft³ × 40 ft³
Weight = 5200 pounds.
The weight of the brick patio is therefore 5200 pounds.
Last quarter, 84 seventh grade students
made honor roll. If there are 400 students in
the seventh grade, what percent made
honor roll?
Answer:
21%
Step-by-step explanation:
okay so 400 is your denominator, and 84 is your numerator, so divide 400 by 4 so you get 100, because your percentage should be out of 100. because you divided 400 by 4, you also have to do that for 84, giving you 21 out of 100. converted to a decimal its .21, or 21%
Final answer:
To find the percentage of seventh grade students who made honor roll, a proportion is used, yielding a result of 21 percent.
Explanation:
To calculate the percentage of seventh grade students who made honor roll, we can set up a proportion where 84 students is to 400 students as x percent is to 100 percent. The proportion can be written as 84/400 = x/100. To find x, we cross-multiply and solve for x.
First, cross-multiply: 84 * 100 = 400x. This gives us 8400 = 400x. Next, divide both sides of the equation by 400 to solve for x: 8400 / 400 = x. This results in x being equal to 21. Therefore, 21 percent of the seventh grade students made honor roll.
Wallace is a book editor. He uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. Which statement best explains what the range of Wallace’s function is? *
The range is all integers because a book must have a positive or negative, whole number of pages.
A.The range is all integers because a book must have a positive or negative, whole number of pages.
B.The range is all positive whole numbers because a book must have a positive, whole number of pages.
C.The range is all positive or negative multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
Answer:
D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
Step-by-step explanation:
The domain of a function c(x) is the set of all values, x for which the function f is defined, while the range of the function is the set of all values that c takes.
If the Book Editor , Wallace uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. The statement that best explains the range of his function is Option D.
This is as a result of the fact that, although the number of pages,x will be positive whole numbers, multiplying x by 3.5 makes the function c(x) a positive multiple of 3.5.
Since c(x) is in dollars, we round it up to the nearest cent (hundredths).
A water tank is in the shape of a cylinder with a diameter of 20 feet and
a height of 20 feet. The tank is 70% full. About how many gallons of
water are in the tank? Round your answer to the nearest whole number.
Answer:
The amount of gallons rounded to a whole number is 32970 gallons.
Answer:
The amount of gallons rounded to a whole number is 32970 gallons.
Step-by-step explanation:
Find the area of the following shapes:
WILL MARK BRAINLIEST PLEASE HELP ME! THIS IS FOR RSM I NEED HELP :(
Answer:
180
Step-by-step explanation:
Answer: 180mm squared
Step-by-step explanation: How to solve this problem is you have to break up the problem into different parts. The line CE splits it up. The part on the left of line CE has an area of 135 (9 x 15) and the part on the right is a little more tricky, we know AB is 15mm and DC is 9mm so we know CF has to be 6 because we subtract 15mm from 9mm. You probably know how to calculate the area of a triangle (15 x 6)/2 which is 45. 45 + 135 = 180. I also go to RSM! (what a coincidence)
Please help!
The width of a rectangle is one-fifth of its perimeter. If the length of the rectangle is 15 inches, what is its width in inches?
Answer:
10 inches
Step-by-step explanation:
w = 1/5 P
Multiply each side by 5
5w = 1/5P *5
5w =P
We know the perimeter of a rectangle
P = 2(l+w)
We can set the two equations equal
5w = 2 (l+w)
l =15 inches
We can substitute 15 in for the length
5w = 2(15+w)
Distribute
5w = 30 +2w
Subtract 2w from each side
5w -2w = 30+2w-2w
3w =30
Divide each side by 3
3w/3 = 30/3
w =10
The width is 10 inches
The formula for perimeter is: P=2W+2L
Rewrite as: 2W = P-2L
Divide all terms by 2: P/2-L=W
Width is 1/5p, replace W in the equation: P/2-L= 1/5P
Multiply each term by 10: 5P-10L=2P
Subtract 2p from both sides and add 10L to both sides: 3P=10L
Lenght is given as 15 inches, replace L with 15 and multiply: 3P=150
Divide both sides by 3: P=50
W=1/5P = 10 inches
2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point
second triangle. Show Work. *
F 4 RD 6 A
105
Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Here, FR and DA are corresponding sides.
[tex]$\Rightarrow \frac{FR}{DA} =\frac{4}{6}[/tex]
Cancel the common factors of 4 and 6, we get
[tex]$\Rightarrow \frac{FR}{DA} =\frac{2}{3}[/tex]
⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.
The similarity ratio should be 2:3
Calculation of the similarity ratio;In the case when two triangles are same so the corresponding angles are congruent and the corresponding sides should be in proportion.
So,
[tex]FR \div DA = 4\div 6[/tex]
FR:DA = 2:3
Based on the above calculations, we can say that the ratio of first triangle to the second triangle should be 2:3
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Consider the standard normal curve given.
A graph shows the horizontal axis numbered 20 to 40. 30 is highlighted in an orange outline. Variance = 5 and is highlighted in an orange outline. The line shows an upward trend to from 20 to 30 then a downward trend from 30 to 40.
The mean is __.
The standard deviation is __.
The data point 37 is __ one standard deviation from the mean.
Answer:
mean: 30
standard dev: 5
the data point 37 is more than
Step-by-step explanation:
The mean is 30.
The standard deviation is 5
The data point 37 is more than one standard deviation from the mean.
What is a bell curve?
'A bell curve is the informal name of a graph that depicts a normal probability distribution. The bell curve is perfectly symmetrical. It is concentrated around the peak and decreases on either side. In a bell curve, the peak represents the most probable event in the dataset while the other events are equally distributed around the peak. The peak of the curve corresponds to the mean of the dataset.'
According to the given problem,
Since, the curve of the bell curve peaks at the mean, therefore, in the given bell curve, the curve peaks at 30.
The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. In the given bell curve, the points lie at a distance of 5. Therefore the standard deviation is 5.
The data point 37 is more than one standard deviation from the mean.
Since, the standard deviation is 5,
Mean = 30
Next Data Point = ( 30 + 5 )
= 35
Therefore the data point 37 is more than one standard deviation from the mean.
Hence, we can conclude, the bell curve has a mean of 30, standard deviation of 5 with the data point 37 being more than one standard deviation from the mean.
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Peter is a revenue manager of a 300-room hotel. Over this past weekend (including both Saturday and Friday evenings) he sold 450 of his guestrooms with an average daily rate (ADR) of $300.00. What was his hotel's RevPAR for the past weekend?
Answer:
200
Step-by-step explanation:
Total room =300
Sold room =450
Dally Average Rate =.300
Calculation of revised PAR
=300*300/450
=90,000/450
=200
+254726755163 (For assignment help and course work)
Answer:
$225
Step-by-step explanation:
Revenue per available room was ...
($300/room sold)(450 rooms sold)/((300 rooms/night)(2 nights))
= $(300·450/(300·2) = $(450/2)
= $225
Convert:
? kilometers = 10,000 meters
Step-by-step explanation:
[tex]1km = 1000m \\ x = \frac{10000}{1000} \\ x = 10km[/tex]
Answer:
1
Step-by-step explanation:
IT means that that 1km is =10000m
Which of the following sets of points are vertices of a right triangle?
Your answer:
O A(-1,-3), B(4, -3), C(2, -1)
O A(-2, 2), B(1, -4), C(4, 2)
O A(-1, 1), B(3,5), C(4, -4)
OA(-1,3), B(-4,-3), C(-4,1)
Answer:
the 3 one bro ok I will let you know the answer
HURRRRRRRRRRRYYY PLEASE!Brainlest
What do you know about the scale factor for the dilation shown? Explain.
The scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.
Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".
preimage ----> image
before ----> after
Answer:
he scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.
Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".
Step-by-step explanation:
PLS HELP ASAP LIKE PLSSSSS
.............................
If 2(x+5)=7x-5, then what is the value of 2X squared +10
Answer:
28
Step-by-step explanation:
in order to evaluate for the value of x from this 2(x+5)=7x-5 , we will open the bracket and the evaluate for x.
solution
2(x+5)=7x-5
2x + 10 = 7x - 5
collect the like terms together
2x + 10 +5 = 7x
15 = 7x - 2x
15 = 5x
divide both sides by 5
15/5 = 5x/5
3 = x
x =3
so, to evaluate for 2x² + 10
will be
2x² + 10
2 (3)² + 10
2 x 9 + 10
18 + 10
28
Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle. Which transformation did Kyle perform on the triangle
Answer:
dilation
Step-by-step explanation:
The transformation that Kyle performed to make a triangle similar but not congruent is dilation. This changes the size of a figure, but not its shape.
Explanation:If a triangle undergoes a transformation and results in a similar but not congruent shape, it likely underwent a dilation. A dilation is a transformation that alters the size of a figure without changing its shape. Dilations can either reduce or enlarge a shape based on a scale factor. If the scale factor is greater than 1, the figure will enlarge. If it is less than 1, the figure will reduce.
For example, if Kyle dilated a triangle with a scale factor of 2, the triangle would double in size but still remain similar to the original triangle. However, because its size has increased, it is not congruent with the original triangle.
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Greg left work at 4:42 p.m. He had to go to the grocery store, the bank, and the car wash before going home. He got home at 6:17 pm. How long did it take Greg to run his errands?
It took Greg 95 minutes to run his errands.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find the total time Greg spent running errands,
We need to calculate the difference between his departure time from work and his arrival time at home.
First,
We can convert both times to minutes past midnight to make the calculations easier.
So,
4:42 pm = 4 × 60 + 42 = 282 minutes past midnight
6:17 pm = 6 × 60 + 17 = 377 minutes past midnight
To find the time Greg spent running errands, we can subtract his departure time from his arrival time:
= 377 - 282
= 95 minutes
Therefore,
It took Greg 95 minutes to run his errands.
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Since the circumference of the circle can be represented
by 2nr, and the area of a parallelogram is determined using
A = bh, which represents the approximate area of the
parallelogram-like figure?
Answer:
C) A=1/2(2πr)(r)
Step-by-step explanation:
The approximate area of the parallelogram-like figure is,
⇒ A = 1/2(2πr)(r)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, The circumference of the circle, 2πr, is the measure completely around the circle.
When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.
This means the base will be,
⇒ 1/2(2πr).
Hence, The approximate height of the parallelogram is the radius of the circle; this makes the area
⇒ A = 1/2(2πr)(r)
Thus, The approximate area of the parallelogram-like figure is,
⇒ A = 1/2(2πr)(r)
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A student answered this story problem. Use estimation to check the student's answer. Lizzie has $49. Her older sister has $184. How much money do they have altogether? Student's answer: They have a total of $233. Which estimate is correct and was the student's answer reasonable?
Answer:No the student was not right.Neither of the estimations were right because she did not estimate at al.
Step-by-step explanation:
1.Round 49 to the nearest ten: 50.
2.Round 184 to the nearest ten:180.
3.Add 50+180 to get 230.
The student was not right because she did not estimate 49 nor 184.
Point S is on line segment RT. Given ST = 17 and RS = 2, determine the length
RT.
Answer:
19
Step-by-step explanation:
The length of line segment RT is found by adding the lengths of the segments RS and ST. Given RS=2 and ST=17, we find that RT=2+17=19.
Explanation:In this problem, we are dealing with segments on a line. There is a concept in mathematics that's relevant here: the Whole is the sum of its parts. When you have a line divided into segments (parts), the length of the whole line is the sum of the lengths of these parts. Here, line segment RT is divided into two parts - RS and ST.
We know that RS = 2 (given) and ST = 17 (also given). Therefore, the length of line segment RT is the sum of RS and ST. RT = RS + ST = 2 + 17 = 19. So, the length of RT is 19 units.
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The vertex form of the equation of a parabola is x = (y - 3)2 + 41.
What is the standard form of the equation?.
O A. x = y2 + 6y+41
O B. x = y2-6y+ 50
O c. x= y2 +y+22
O D. x = 3y2 - 6y + 50
Answer:
B
Step-by-step explanation:
x = (y - 3)² + 41 ← expand factor using FOIL
x = y² - 6y + 9 + 41 ← collect like terms
x = y² - 6y + 50 → B
Which equation in point-slope form describes the line through points (4, –4) and (1, 2)?
Step-by-step explanation:
Given points (4 , -4) and ( 1, 2)
First calculating slope (m)
=( y2 - y1) /( x2 -x1)
= ( 2 + 4) / (1-4)
= 6/ -3
= -2
Now
The equation in point slope form
y - y1 = m ( x - x1)
y + 4 = -2 ( x - 4)
y + 4 = -2x + 8
2x + y - 8 + 4 = 0
2x + y -4 = 0 which is the required equation
Find the length of side A on a triangle where side B is 4 and side C (the hypotenuse) is 5.
A) 4
B) 5
C) 3
D) 2
Answer:
Your answer is: C) 3
Step-by-step explanation:
The formula used to find side A in this problem is called the Pythagorean Theorum. The formula is as follows: a = the square root of c squared minus b squared. Or, you can say that the hypotenuse is equal to: c = the square root of a squared and b squared added together. This might sound confusing in the start, but here's all you have to do. c^2 = 25. 4^2 = 16. 25 - 16 = 9. The square root of 9 = 3. C) 3 is your answer.
Find the value of the expression. Left-bracket (three-fifths) Superscript 0 Right-bracket Superscript negative 2 The value is .
Answer:
1
Step-by-step explanation:
Answer:
answer in picture as well
1
Step-by-step explanation:
The associative property states that you can
A
multiply or add terms in any order.
distribute the multiplier over the addends.
C
break down large numbers into smaller numbers.
group terms using parentheses to add or multiply
Answer:
add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
Marcus is saving to purchase his first car. He found a used Ford F-150 truck for $4500. Marcus has $300 in his savings account and will save $200 each week from his weekly paycheck.
a. Is this arithmetic or geometric?
b. Write the simplified explicit formula for the sequence.
c. How many weeks will it take to save for the truck?
d. Identify the domain and range for the sequence.
Answer:
Step-by-step explanation:
A.) It is arithmetic since its says that Marcus will save $200 each week.
B.) f(x)=$4500-($300+200x) = $4200-$200x; x represents the number of weeks, f(x) represents the amount of money Marcus still has to pay to get the truck.
C.) $4200-$200x=0; find x. $4200 = $200x; x = 21 weeks
D.) Domain: 0-21 weeks Range: $0-$4200
Which describes the amount of product a seller is able to make?
O
A. Market
O B. Demand
O C. Supply
O D. Can't tell
Supply describes the amount of product a seller is able to make.
What is Demand and Supply?Demand is defined as the amount of product that the consumers or buyers is going to buy.
Supply is defined as the amount of product that the producers or sellers is going to make to sell.
Market is the place where the demand and supply meet. That is, sellers and buyers will be meeting at the market.
From the definition, it is clear that demand is related to buyers than the sellers.
So demand is the quantity that the buyers buy.
So supply is referred to as the quantity that the seller is going to make.
Hence the best description for the amount of product a seller is able to make is supply.
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A concession stand sells hamburgers (h) for $2 and hotdogs (d) for $1. On Friday night they sold a total of 300 hamburgers and hotdogs and made $420. How many of each did they sell?
Which system of equations matches the situation?
Answer:
the correct system of equations is the first one.
Step-by-step explanation:
h+d=300
2h+d=420
Which is more, 5 meters or 500 centimeters
Answer:
They are the same
Step-by-step explanation:
1 meter = 100 cm,
5 meters = 500 cm.
Answer:
5 m = 500 cm
Step-by-step explanation:
1 m = 100 cm
5m = 5 x 100 cm = 500 cm