Answer:
b = 5/4
Step-by-step explanation:
Equations
Given the function:
[tex]f(x)=mx+b[/tex]
It's required to find the value of b such that:
[tex]5f(x)=f(5x)+5[/tex]
Substituting:
[tex]5(mx+b)=5mx+b+5[/tex]
Operating:
[tex]5mx+5b=5mx+b+5[/tex]
Simplifying:
[tex]5b=b+5[/tex]
Subtracting b:
[tex]4b = 5[/tex]
Dividing by 4:
b = 5/4
Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.
Answer:
Sides are x and x + 3.5 cm
Perimeter = 2(x + (x + 3.5))cm
4x +7 = 67
x = 15cm Answer
Step-by-step explanation:
HOPE THIS HELPED!
When
4a- a x 3a + 7a
is simplified it is equivalent to?
Answer:
-3a^2+11a
Step-by-step explanation:
Answer:
4a-a×3a+7a
or, 3a×3a+ 7a
or,9a+7a
or,16a
:. a =16
please help (picture provided shows question)
Answer:
They need to sell 3 tees, and incurred $60.
Step-by-step explanation:
What is the revenue equation? R = 20x, where x is the # of tees sold.
What is the cost equation? C = 5x + 45, where x is the # of tees sold.
Set those two equations equal, we get:
20x = 5x + 45, 15x = 45, x = 3.
3*5 + 45 = 60.
The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?
Answer:
B. $0.88
Step-by-step explanation:
x = number of bananas
y = cost of bananas in dollars
Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x
y = 3.52
x = 4
Therefore:
Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].
Consider the expression –3(y – 5)2 – 9 + 7y.
Which statements are true about the process and simplified product? Check all that apply.
The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.
Answers:
B) There are 3 terms in the simplified product.
E) The final simplified product is –3y2 + 37y – 84.
The true statements are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product.
How to Simplify The Product of Polynomials?Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:
–3(y – 5)(y – 5) – 9 + 7y
-3y² + 30y - 75 - 9 + 7y
Combine like terms
-3y² + 37y - 84 (three terms)
Therefore, the statements that are true are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product
Learn more about product of polynomials on:
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The ratio of cats and dogs is 6:13. If there are a total of 117 dogs, how many cats are there
Answer:
56
Step-by-step explanation:
6 : 13
x : 117
117 /13 = 9
6 * 9 = 56
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
1 point
A manufacturing plant has 60
supervisors. If 27 of the supervisors are
men, then
O 45% are women
55% are men
55% are women
O 75% are men
O 75% are women
Answer:
55% are women
Step-by-step explanation:
27÷60= 0.45
0.45x100=45
100-45=55
45% men
55% women
There are 55% are women if the manufacturing plant has 60 supervisors. If 27 of the supervisors are men, option third is correct.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
A manufacturing plant has 60 supervisors. If 27 of the supervisors are men.
The number of women = 60 – 27 = 33
The percent of women = (33/60)×100
= 0.55×100
= 55%
Thus, there are 55% are women if the manufacturing plant has 60 supervisors. If 27 of the supervisors are men, option third is correct.
Learn more about the percentage here:
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Chuck's collection of 19 marbles. He has 3 yellow marbles, 4 red marbles, 4 orange marbles, 2 purple marbles, 1 green marble, and 5 blue marbles.
What is the ratio of green marbles to red marbles in his collection?
A.
1 to 4
B.
1 to 19
C.
4 to 1
y=x+ 2
Type an (x,y) ordered pair that is a solution to this
equation.
Answer:
The ordered pair is (4,6)
Step-by-step explanation:
Ordered Pairs
It's given the equation
y = x + 2
Since there are no restrictions for the values of x and y, it has infinitely many solutions, i.e. any ordered pair of values (x,y) that make true the equation is a solution.
We can pick any value for x and then calculate the corresponding value for y as follows:
For x = 4,
y = 4 + 2 = 6
The ordered pair is (4,6)
Examine the diagram.
A triangle has angles 2, 4, 3. A line extends past angles 3 and 2 to form exterior angle 1.
Name one of the remote interior angles to the exterior angle in the diagram.
Angle 1
Angle 2
Angle 3
The answer is C!
- Got it right on edge :)
- Have a good day !
Solve for X
1/5x +5=61/15+2/3x
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
pLease help and thanks
Answer:
a
Step-by-step explanation:
Every x or domain is unique and doesn't repeat. Therefor, it will pass the vertical line test. You can not have a repeating x.
Please help me ASAP!!
Answer:
[tex]\huge\boxed{m\angle 1 = 131 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 2 = 49 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 3 = 112 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of angles 1, 2, and 3 here.
First off, we know that the 49° angle and m∠1 are supplementary. This means that their angle measures will add up to 180°.
Since we know one, we can find the other easily.
[tex]x + 49 = 180\\\\x = 180-49\\\\x = 131[/tex]
So m∠1 = 131°.
We also know that m∠2 is opposite to the 49° angle. This means that m∠2 is also 49°.
Now, we know that m∠3 is also opposite to the 112° angle. Therefore, their angle measures are the same, and m∠3 is also 112°.
Hope this helped!
Xiaoming is making cookies. Each batch of cookies uses3 eggs. If Xiaoming has 20 eggs, and assuming he has enough of the other ingredients to make the cookies what is the greatest number of batches that he can make ?
Answer:
6
Step-by-step explanation:
3(1)=3 3(2)=6 3(3)=9 3(4)=12 3(5)=15
3(6)=18 3(7)=21 3(8)=24
----------------------------------------------------
3(6)=18 is closest to 20
so the greatest number of batches Xiaoming can make is 6.
A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?
Answer:
A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?
You would use
✔ divisionto solve this problem.
The tennis team can make
✔ 12head bands.
Step-by-step explanation:
1. The aspect ratio of a display is the proportional relationship between the width of a
display and its height. In 2012, 16 : 9 became the most common aspect ratio for
computer displays. If the width of a large screen television is 90 inches, what is
the height using this aspect ratio, to the nearest inch?
A 51 inches
B 71 inches
C 97 inches
D 160 inches
Answer:160 inches
Step-by-step explanation: it cant be less som wer left with 97 and 160 97 is not 16:9
If we multiply 0.8 by 1/50, we get 0.8 × 1/50 = 0.8/50 = 0.016 meter. So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
Answer:
the ratio is 1:50
this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.
the door is 0.8 meters wide or 80 centimeters wide
in our drawing, the door should be 80 / 50 = 1.6 centimeters wide
the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.
Please help i am confused.
Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the number of minivans sold each week.
Answer:
An inequality 'c ≥ 5' represents this situation.
Step-by-step explanation:
We know that the inequality symbol '≥' represents 'at least'.
For example, 'x≥y' means 'x' is greater than or equal to b. It means 'x' is at least equal to 'y'.
Let 'c' represent the number of minivans sold each week.
As a car dealer ship sells at least 5 minivans. It means the dealer can also sell more than 5.
i.e. c ≥ 5
Therefore, an inequality 'c ≥ 5' represents this situation.
How much pure alcohol must a nurse add to 10 cubic centimeters of a 60% alcohol solution to strengthen it to a 90% solution? Plsss help ASAP
10 cubic centimeters of a 60% alcohol solution, would mean 10 x 60% = 6 cc is alcohol the other 4 cc is water.
To make a 90% solution, the water would be 10% of the solution.
If 4 cc is 10%, the total is 40 cc.
40 - 10 = 30 cc
30 cubic centimeters needs to be added.
A plane flew at a constant speed between Denver and Chicago.
It took the plane 1.5 hours to fly 915 miles.
How far would the plane fly in 10 hours at this speed?
Answer:
To found out his constant speed
915/3=305 Meaning the plane flew 305 miles per half hour
Meaning that the plane flew 610 miles per full hour
Step-by-step explanation:
There ya go
A chord PQ of length 13cm is drawn in a circle with center C and a radius of 10.2cm.
Find;
i) Angle PCQ
ii)The area of the sector PQRC
iii)The area of the minor segment
An animal shelter provides a bowl with 1.15 liters of water for 6 cats. About how much water will be left after the cats drink their average daily amount of water?
Answer:
they would each be getting an average of 0.25 liters of water a day
Step-by-step explanation:
Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water? please help
Answer
1.386 billion.
Step-by-step explanation:
Stefan sells Jin a bicycle for $152 and a helmet for $.16 The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
The answer is 28 more he sold it for.
Step-by-step explanation:
152+16=168. 168-140=28
I hope this helped have a good day!!
Which list orders -3,2,5, -1 From least to greatest
Answer: C= -3, -1, 2, 5
Step-by-step explanation:
A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
How many cupcakes can the baker decorate per minute?
Answer:
I'm pretty sure its 1.4 cupcakes
Help plss !!
I'm behind D': !!!!!
Answer:
is that math?
Step-by-step explanation:
How can you use a table to determine whether the relationship between two quantities is proportional?
Answer:
no
Step-by-step explanation:
no
I need help plsssssssss
Answer:
A
Step-by-step explanation:
If you follow the dotted lines and bring all the lines together,
angle8 = angle4 (corresponding angles)
angle8 = angle5 (vertically opposite angles)
angle5 = angle1 (corresponding angles)
Therefore, angle8 is basically the same as angles 1 and 4
Thus,
127+127=254