A hardback book cost $7.00 more than a paperback book. Write an expression for the total cost of 1 paperback book and 3 hardback books
Answer:
Tc=3x+(x-7)
Step-by-step explanation: So, the Tc stands for total cost. The x stands for the variable for the hardback books and the x-7 is the price of the paperback book. You could introduce another variable, but that might be more confusing
22.Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls. If he wants to make all the plates identicalwithout any food left over.A)What is the greatestnumber of plates Lenin can prepare?B)How many pieces of chicken and rolls will there be in eachplate?
Answer: The greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
Step-by-step explanation:
Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.
To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4
The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]
The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]
So, the greatest number of plates Lenin can prepare = 4
and there will be 3 chickens and 4 rolls in each plate.
a.What is the length of A’A?
b.What is the length of B’B
Both in units
Answer:
A'A = 18 units, B'B = 9 units
Step-by-step explanation:
Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values
[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8AC = 240 ( divide both sides by 8 )
AC = 30
Thus A'A = AC - A'C = 30 - 12 = 18 units
--------------------------------------------------------------------
and
[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is
[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8CB = 120 ( divide both sides by 8 )
CB = 15
Thus
B'B = CB - CB' = 15 - 6 = 9 units
LAST ONE NEED HELP ASAP !!!
Answer:
2.5
Step-by-step explanation:
Divided them
PLEASE ANSWER WILL GIVE BRAINLIEST
You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)
Answer:
The expected rate of return is $442.5
Step-by-step explanation:
The expected rate of return is given by the following formula;
[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]
Where;
E[R] = The expected return
[tex]R_i[/tex] = The return received in the instance i
[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i
n = The number of instances for the calculation
Therefore, we have;
The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5
Answer the answer is D 12.6%
Step-by-step explanation:
14 out of 22 students surveyed enjoyed playing baseball. If 308 students are surveyed, how many would you expect to say they enjoy playing baseball?
Answer:
124
Step-by-step explanation:
14 -22=8
8= the number of students that didn't like playing baseball
Somehow 8 = 800%
if you subtract 800%-308 it gives you -124
124 students don't like playing baseball
ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE
Answer:
- 84
Step-by-step explanation:
I think answer to this question is -28
I hope it will be correct
The graph of y = x² is the solid black graph below. Which function
represents the dotted graph?
Answer:
y= -(x-4)^2
Step-by-step explanation:
y=X^2 is the parent function
The new graph is reflected and shifted to the right 4 units
y= -(x-4)² function represents the dotted graph
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph
y=X² is the parent function
Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other.
The new graph is reflected and shifted to the right 4 units
y= -(x-4)²
Hence, y= -(x-4)² function represents the dotted graph
To learn more on Graph click:
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PLEASE HELP I WILL GIVE YOU 13 POINTS
Answer:
I think it would be C.
Step-by-step explanation:
For y [tex]\geq[/tex] the line should be solid and it should be shaded above the line because ≥ means greater than.
For y > the line should be dashed and it should be shaded above the line because it means greater than.
For y [tex]\leq[/tex] the line should be solid and it should be shaded below the line because it means less than.
For y < the line should be solid and it should be shaded below the line because it means less than.
Hope this helps!
If the measure of angle ACB is 65 degrees, find the measure of angle BCD
Answer:
the answer is 25
Step-by-step explanation:
you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer: The answer would be 25
Step-by-step explanation:
Hope this helps!
It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
Learn more about rounding decimal numbers here:
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log 8-log 4/log 4-log 2
Answer:
-0.39794000867
Step-by-step explanation:
This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer
Answer:
1
Step-by-step explanation:
[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]
[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]
Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]
Apply rule [tex]\frac{a}{a}=1[/tex]
=1
:)Hope you enjoy this:)N
What is the value of y?
O 3V3 units
O6v3 units
U
3
9V3 units
O 12V3 units
T
M
Answer: b
Step-by-step explanation:
Just took the test
The value of y is 12√3
Pythagoras theoremFrom the diagram given, we are to find the value of "y"
First, we need to get the length of TU
TU² = 6² - 3²
TU² = 36 - 9
TU = √27
Next is to get the value of y
y² = (√27)² + 9²
y² = 27 +81
y = √108
y = 12√3
Hence the value of y is 12√3
Learn more on pythagoras theorem here: https://brainly.com/question/343682
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
Nancy’s equation: Juan’s equation:
Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is
[tex]y=3x[/tex]
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is
[tex]y=3+2x[/tex]
Therefore, the equations of Nancy and Juan are [tex]y=3x[/tex] and [tex]y=3+2x[/tex] respectively.
HELP HAVING BAD DAY
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
If Stanley swam for t hours yesterday, what was his running time?
Answer:
9
Step-by-step explanation:
9 (t3+0.5)
his running time is 9
Answer:
1.5 Hrs
Step-by-step explanation:
SWIM: Time: T Rate: 2.5mph Distance: 2.5T
RUN: Time: T+0.5 Rate: 9mph Distance: 9T+4.5
BIKE: Time: 2T+1 Rate: 16mph Distance: 32T+16
2.5T+9T+4.5+32T+16 = 64
43.5T+20.5=64
43.5T=43.5
T=1
RUN: T+0.5= 1+0.5=1.5
Is it correct? Please tell me I’m not sure lol I’ll give brainliest
The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $32 for each room. (a) How many rooms can a hotel pay the company to clean for $500? Write and solve an equation.
Answer:
15 rooms.
Step-by-step explanation:
32x=500
x=15.625
Rounding down (since you can't get a fraction of a room), you get 15 rooms.
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
Which method represents a correct way to solve the equation?
-x+(-3+x)2 = 6
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OA.
Square -3.
Square x.
Subtract -7x from both sides.
OB. Subtract 9 from both sides.
Take the square root of both sides.
Square -3.
Square x.
Combine like terms
OC. Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OD
Square the quantity (-3 + x).
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Answer:
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Step-by-step explanation:
Given:
-x (-3 + x )2 = 6
-x (-3 + x )2 = 6
-x (-6 + 2x) = 6
-6x + 2x^2 = 6
2x^2 - 6x - 6 = 6 - 6
2x^2 - 6x - 6 = 0
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)
Answer:
Your answer is: y = 1/3x + 3
Use the formula y = mx + b
Step-by-step explanation:
Hope this helped : )
can someone help me with this problem
Answer:
A because the angles add to 180, which is what angle ABC is.
A secret recipe requires you mix chocolate and cream cheese in the ratio 3:2, based on weight. If you use 21 oz of chocolate, how much cream cheese do you need?
Answer:
14
Step-by-step explanation:
21/3
7*2
Help me pleaseeeeeeeeeeeee
Answer:
b
Step-by-step explanation:
Answer: B
Explanation there is nothing for me to explain
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?
Answer:
0.625
It has 3 digits (finite) after the decimal point.
Step-by-step explanation:
Given that :
Total number of pitches = 384
Total number of fasfballs = 240
To make an update :
Ratio of the number of fastballs and total number of pitches
240 : 384
240/384
= 0.625
The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.
1. Find the Least Common Multiple of these two monomials:
See picture
Answer:
The last choice is correct
[tex]LCM=120a^4b^7c^5[/tex]
Step-by-step explanation:
Least Common Multiple (LCM)
To find the LCM we can follow this procedure:
List the prime factors of each monomial.
Multiply each factor the greatest number of times it occurs in either factor.
We have two monomials:
[tex]12a^4b^2c^5[/tex]
[tex]40a^3b^7c^1[/tex]
The prime factors of the first monomial are:
[tex]2^2,3,a^4,b^2,c^5[/tex]
The prime factors of the second monomial are:
[tex]2^3,5,a^3b^7c^1[/tex]
LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]
These are all the factors the greatest number of times they occur.
Operating:
[tex]LCM=8*15*a^4*b^7*c^5[/tex]
[tex]\boxed{LCM=120a^4b^7c^5}[/tex]
The last choice is correct
3x-100 what does x equal?
Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?
Find the measure of the labeled angles
Answer:
x would equal 23, so (x+92) would equal 115°, & (5x) would equal 115°.