Answer:
5c + 30
Step-by-step explanation:
An easy way to create an equivalent expression is to simplify the equation given to you. In this case, distribute 5 to all terms within the parenthesis:
5(c) = 5c
5(6) = 30
5c + 30 is an answer choice.
~
Distribute the 5 inside the parenthesis to create an equivalent expression.
Answer:
5c + 30
A community center is going on a trip to Philadelphia via several buses. The ratio of men to women to children is 1:2:3. If there are 150 people going on the trip, how many men are going? How many women are going? How many children are going? Show the steps you use to solve the problem
An item has a listed price of $45.If the sales tax rate is 5%,how much is the sales tax (in dollars)?
Answer:
sales tax = 2.25
Step-by-step explanation:
To find the sales tax, we multiply the list price by the tax rate
We need to convert the tax rate of 5% to decimal form 5% = .05
sales tax = 45 * .05
sales tax = 2.25
On a piece of paper, graph this system of inequalities. then determine which answer choice matches the graph you drew and identify the number of solutions.
y>3x+9
Y<3x-1
Answer:
(0) no solutions.
Step-by-step explanation:
You are given two inequalities:
[tex]y>3x+9,\\ \\y<3x-1.[/tex]
The signs of both inequalities are > and < (without notion "or equal to"), then the boundary lines should be dotted lines. Each of these dotted lines divides the coordinate plane into two parts. You have to determine which of these parts you have to choose.
Substitute the coordinates of the origin (0,0) into these inequalities:
[tex]0>3\cdot 0+9\Rightarrow 0>9,\\ \\0<3\cdot 0-1\Rightarrow 0<-1.[/tex]
Both results are false inequalities, this means that origin doesn't belong to the shaded region. So you have to choose those parts, that do not contain origin (see attached diagram).
As you can see, shaded regions do not intersect (because lines y=3x+9 and y=3x-1 are parallel), so the system has no solutions.
Answer:
no solution
Step-by-step explanation:
Mark cycled 25 miles at a rate of 10 mph how long did it take Mark two cycle 25 miles?
Answer:
2.5 hours
Step-by-step explanation:
25 miles/10 mph= 2.5 hours
Answer:
The awnser is 2.5 because,
Step-by-step explanation:
.25 divided by 10 = 2.5
The decimal moves one time to the left because there is ONE zero (0) in 10.
please help | A department store buys 400 shirts at a cost of $6,400 and sells them at a selling price of $20 each. Find the percent markup.
The department store's percent markup on the shirts is 25%. This was determined by dividing the markup price by the cost price and then multiplying by 100.
Explanation:The question asks to find the percent markup of shirts by a department store. First, we need to determine the cost per shirt, which we do by dividing the total cost by the number of shirts. In this case, $6,400 divided by 400 gives us a cost of $16 per shirt.
Next, we subtract the cost from the selling price to find out the markup per shirt. So, $20 (selling price) minus $16 (cost price) gives us a markup of $4 per shirt.
To find the percent markup, we divide the markup by the cost price and multiply by 100. Hence, $4 (markup price) divided by $16 (cost price), and then multiplied by 100, results in a 25% markup.
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What is 1.67 × 104 in standard form?
A) 1,670,000
B) 16,700
C) 0.1670
D) 0.0167
Answer:
B is the answer
Step-by-step explanation: B is the answer because 10^4 is 10*10*10*10 which is 10000 so 10000 times 1.67 is 16700
Jin spent 32 hours on math and language arts homework last month. She spent about 30% of this total time on math. About how many hours were spent on math?
Answer: 9.6
Step-by-step explanation: A percent is like a decimal so 15% would be 0.15 so if you use that for this you must multiply 32 hours by the 30%/0.30 to find the answer
HELP! solving systems of equations by substituting (find x and y)
Answer:
First solve for x or y in the first equation. Then substitute that number in the second equation for its same variable. Solve the second equation for that variable. Now you have your first number. Now you want to take that number and substitute it back into the first equation to find your second value. Put your two values in an ordered pair (x, y)
Step-by-step explanation:
Which is the following sum in simplest form? sqrt 8+ 3 sqrt2 +sqrt 32
Answer:
Exact Form:
9√2
Decimal Form:
12.72792206
Step-by-step explanation:
Simplify expression
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
sqrt 8+ 3 sqrt2 +sqrt 32
[tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]
Simplify each square root
[tex]\sqrt{8}=\sqrt{2*2*2}=2\sqrt{2}[/tex]
[tex]\sqrt{32}=\sqrt{4*4*2}=4\sqrt{2}[/tex]
Given expression becomes
[tex]2\sqrt{2} +3\sqrt{2} +4\sqrt{2}[/tex]
All are like terms so we add it
[tex]9\sqrt{2}[/tex]
A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in dollars, per fluid ounce between the two brands of juice?
Answer:
$.02 per ounce
Step-by-step explanation:
To find the cost per ounce, we take the cost and divide by the ounces
Brand A
$1.28 / 8
$.16 per ounce
Brand B
$1.68/12
$.14 per ounce
To find the difference, we subtract the smaller from the larger
$.16 -$.14
$.02 per ounce
Answer:
oof
Step-by-step explanation:
Solve the inequality.
x/8>4 ??
Answer:
x > 32
Step-by-step explanation:
x/8 > 4 Multiply both sides by 8
x > 32
(I NEED HELP PLEADE) I will give brainliest
Answer:
C is the correct answer.
how would i graph y=-x-6
Answer:
Step-by-step explanation:
-6 is your (y) while -x is your (x), for -x turn that to (-1/1) which is down 1 and right 1. That's your answer
find the x and y-intercept of the line -6x+12y=24
[tex]-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)[/tex]
PLZ HELP I DONT UNDERSTAND
Answer: 90%
Step-by-step explanation:
Step 1: You would get the greater value (50) and the lower value (26). You would subtract those numbers.
Step 2: You would get 24 when you subtract those numbers. Divide that number by 26.
Step 3: This is optional. You can simply those numbers to make it easier to divide.
Step 4: Divide
Step 5: You would get 0.9230769
Step 6: Move the decimal point 2 times to the right. So you would get 92%
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
Graph 2.
Step-by-step explanation:
When you replace x with x - h, the functions shifts horizontally h units.
Here you are replacing x with x + 4. To write x + 4 in the x - h form, you must write x - (-4) making h = -4. f(x + 4) has a shift of -4 units, or 4 units to the left, compared to f(x).
The function f(x) = x^3 included point (0, 0). It goes up to the right of (0, 0), and down tot eh left of (0, 0).
The answer is graph 2. which shows a shift of 4 units to the left compared with the graph of f(x) = x^3.
Factor the expression using the GCF.
21a squared b to the 5th power + 49a to the 4th power b cubed
[tex]21a^2b^5+49a^4b^3=(7a^2b^3)(3b^2)+(7a^2b^3)(7a^2)=7a^2b^3(3b^2+7a^2)[/tex]
Connor has $9.00 in dimes and quarters. If he has twice as many quaters as dimes, how many of each coin does he have?
Hi There!
Answer:
30 quaters.
15 dimes.
Step-by-step explanation:
Quarter = $0.25
Dime = $0.10
Quarters: 0.25 * 30 = $7.50
Dimes: 0.10 * 15 = $1.50
Check: 7.50 + 1.50 = $9
Hope This Helps :)
The formula for the volume of a pyramid is V=1/3Bh. Which of the following equations is equivalent to the given formula?
A) B=3V/h
B) B=3h/V
C) B=V-1/3/h
D) B=V+1/3/h
A) B=3V/h
Multiply both sides by 3 to get 3V=Bh. Divide both sides by h, and you get 3V/h=B
Answer:
A) B = 3V/h
Step-by-step explanation:
Given: The formula for the volume of a pyramid is V=1/3Bh.
From the above equation, we have to solve for B.
We use inverse operation to find B.
Multiply by reciprocal of 1/3 on both sides. the reciprocal of 1/3 is 3.
So, multiply by 3 on both sides, we get
3V = 3*1/3*B*h
3V = B*h
Now divide both sides by h, we get
3V/h = Bh/h
3V/h = B
Therefore, the answer is A) B = 3V/h
Ye has his own business. He checks his sales receipts three times a day, his afternoon sales were 50$ more than his mourning sales, and his evening sales were three times his afternoon sales. if his total sales for the day were $1,000, what were his evening sales?
Answer:
The answer is 150
Step-by-step explanation:
It's 150 because ye evening sales are three times of his afternoon sales.
SO that means you have to times 50x3=150 or you can add 50+50+50=150. there is your answer.
Answer:
150
the answer is 150 need points for a challenge
Please help out with this if you can.
Answer:
3/7 and 4/17
Step-by-step explanation:
a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.
To find the odds in favour of his character unlocking the treasure chest.
Since probability = 3/10 we have favourable and total are in the ratio 3:10
i.e. favourable:Favourable+unfavourable= 3:3+7
Hene odds= favourable:unfavourable =3/7
Answer is 3/7
b) Given that odds against choosing a blue block are 13/4
This means there are 4 blue blocks and 13 other colour blocks.
Total blocks= 13+4 =17
No of blue blocks = 4
Probability of selecting blue block=4/17
Ms. Hussain told her class that some dilations make figures bigger, some make figures smaller, and some make figures stay the same size.
Select two of the scale factors that support Ms. Hussain's claim that some dilations make figures smaller.
Answer:
To make the figures smaller, scale factor must be divided.
Step-by-step explanation:
1) Firstly, consider a pentagon ABCDE, if we take the scale factor 1\3, the dilations will be smaller.
As distance between A and B = 6
after dilation, distance between A' and B' = 2
Similarly continuing for each side, we get the figure smaller A'B'C'D'E' which is smaller than the original figure.
2) Secondly, consider a hexagon ABCDEF, if we take scale factor 1\2, the dilated figure will be smaller.
A s distance between A and B = 4
After dilations, distance between A' and B' = 2
Similarly continuing for each side, we get the figure A'B'C'D'E'F' which is smaller than the original figure.
Final answer:
Two scale factors that make figures smaller, according to Ms. Hussain's claim, are 2 inches to 8 feet (1/48) and 6 inches to 48 feet (1/96), as they are both less than one and would result in smaller dilated figures.
Explanation:
To support Ms. Hussain's claim that some dilations make figures smaller, we look for scale factors that are less than one because these scale factors reduce the size of the original figure. When reviewing the scale factors presented:
2 inches/8 feet13 inches/12 feet6 inches/24 feet11 inches/33 feet16 inches/32 feet18 inches/36 feet6 inches/48 feet6 inches/12 feetThe scale factors that make the figures smaller are 2 inches to 8 feet (which simplifies to 1/48) and 6 inches to 48 feet (which simplifies to 1/96), since both are less than 1. The original figures are 48 times and 96 times larger than their dilated figures, respectively. Both of these would result in a decrease in size when the original figures are dilated using these factors.
Convert 2 3/8 into a decimal
Answer:
The Answer is 2.25
Answer:
2.375 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
2 3/8 = 2.375
divide 3 by 8 and you will get the .375
The whole number of 2 will be to the left of the decimal to represent a whole number.
Find the x-intercept and y-intercept of -x+2y=8
y-intercept: (0,4)
x-intercept: (8,0)
Y-intercept:
I made x=0
[tex]0+2y=8\\[/tex]
divide by 2 on both sides
[tex]y=4[/tex]
x-intercept
I made y=0
[tex]x+2(0)=8\\x=8[/tex]
a factory makes parts for toys in different quantities,as shown in the table. how much would 11 parts costs
Based on the given table, the cost for 11 parts would be approximately $4.95.
How to determine the cost for 11 parts
To determine the cost for 11 parts, find the corresponding cost per part from the given table.
Let's analyze the given data:
Number of parts: 2, 7, 12, 15
Cost ($): 0.90, 3.15, 5.40, 6.75
We can observe that the cost per part increases as the number of parts increases.
To calculate the cost for 11 parts, interpolate between the quantities given in the table.
Using linear interpolation, find the cost for 11 parts as follows:
First, determine the cost per part for 7 parts and 12 parts:
Cost for 7 parts = $3.15
Cost for 12 parts = $5.40
To find the cost for 11 parts, interpolate between these two values:
Cost for 11 parts ≈ Cost for 7 parts + [11 - 7] / [12 - 7] * (Cost for 12 parts - Cost for 7 parts)
Cost for 11 parts ≈ $3.15 + [11 - 7] / [12 - 7] * ($5.40 - $3.15)
Calculating this expression:
Cost for 11 parts ≈ $3.15 + 4/5 * ($5.40 - $3.15)
Cost for 11 parts ≈ $3.15 + 4/5 * $2.25
Cost for 11 parts ≈ $3.15 + $1.80
Cost for 11 parts ≈ $4.95
Therefore, the cost for 11 parts would be approximately $4.95.
A factory makes parts for toys in different quantities, as shown in the table. how much would 11 parts costs
number of parts: 2, 7, 12, 15
cost($): 0.90, 3.15, 5.40, 6.75
The value of a car decreases about 7% percent each year after it is manufactured.The 2017 Honda Civic costs $19,540
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
The value of a car such as the 2017 Honda Civic decreases approximately 7% per year after manufacture. This is an example of exponential decay. After the first year, the car's value would be close to $18,172.
Explanation:The value of a car declining annually after its manufacture is an example of exponential decay in mathematics. In the case of the 2017 Honda Civic costing $19,540, the value decreases by approximately 7% each year. To calculate this, we can use the formula for exponential decay which is A = P(1 - r), where A is the final amount, P is the initial amount (price of the car), r is the rate of decrease (in decimal form), and n is the number of time periods (years in this case).
Now, if you want the value of the car after its first year, replace P with $19,540, r with 0.07, and n with 1. When calculating this, you should get a value close to $18,172, which is the approximate value of the car one year after it was manufactured.
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help me please i keep getting stuck on this question
Answer:
-3 <= x <=8
Step-by-step explanation:
-16 -3|2x-5| >= -49
The first step is to get the absolute value alone. We need to add 16 to each side.
-16+16 -3|2x-5| >= -49+16
-3|2x-5| >= -33
Now divide each side by -3. This will flip the inequality.
(-3/-3)|2x-5| =< -33/-3
|2x-5| =< 11
This is where we can separate the absolute value inequality into 2 pieces, one positive and one negative. Remember to flip the inequality symbol when we take the negative inequality.
2x-5 <=11 and 2x-5>=-11
Add 5 to each side.
2x-5+5 <=11+5 and 2x-5+5>=-11+5
2x<=16 and 2x>=-6
Divide by 2 on each side.
2x/2<=16/2 and 2x/2>=-6/2
x <=8 and x >=-3
Rewrite as a compound inequality
-3 <= x <=8
What is the volume of a cylinder with a radius of 4m and a height of 5m
Answer:
1. Use this form V = πr²h to obtain around π(4)² * 5 ≈ 251.3 m³
2. Multiply all the lengths of the sides to obtain this volume 42 in³
3. Multiply all the lengths of the sides and divide that by 2 to obtain 154 cm³
Try the rest of the problems by yourself... Remember that:
V = Ah where A is the area of the base.
Step-by-step explanation:
Question :-
What is the volume of a cylinder with a radius of 4 m and a height of 5 m?Answer :-
The volume of a cylinder is 251.2 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(16 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (50.24 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 251.2 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 251.2 m³.[tex]\\[/tex]
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Have a great day! <33
simplify the expression. (3x/y)^-3
a. 27x^3 y^3
b. 27/x^3y^3
c. y^3/27x^3
d. 27x^3/y^3
Answer:
y^3/(27 x^3)
Step-by-step explanation:
Simplify the following:
((3 x)/y)^(-3)
((3 x)/y)^(-3) = (y/(3 x))^3:
(y/(3 x))^3
Multiply each exponent in y/(3 x) by 3:
(y^3)/((3 x)^3)
Multiply each exponent in 3 x by 3:
y^3/(3^3 x^3)
3^3 = 3×3^2:
y^3/(3×3^2 x^3)
3^2 = 9:
y^3/(3×9 x^3)
3×9 = 27:
Answer: y^3/(27 x^3)
5. Grayson a green number cube and a white number cube. the faces of the cubes are number 1 through 6. Graysen roll each cube one time. What is the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up?
A.1/9
B.1/36
C.1/3
D.1/6
Answer: P(G even and W>2) = 1/3 or 0.333 or 33.3%
Step-by-step explanation:
Independent events multiply probabilities,
P(G even)=1/2, P(W>2)=2/3, P(G even and W>2)= 1/2 × 2/3 = 1/3.
Without using definition of "independent events", or rules referring to them, I use sample space S of 36 points, and P(event) = #(event)/#(sample space).
Points are labeled with two digits, left is green die, right is white die. S = {11,12,13,14,15,16,21,...26,...,61,...,66}, and #(S)=36.
An event E is a subset of S, and
0 <= #(E) <= #(S) = 36.
Event G even is GE={21,22,23...,41,42,...,61,...,66},
#(G even)=18
Event "W>2" = W2 ={13,14,15,16,23,24...,63,64,65,66},
#(W>2)=24.
Event G even and W>2 GEW2={23,24,25,26,43,44,45,46,63,64,65,66),
#(GEW2)=12
P(GEW2)=#(GEW2)/#(S)=12/36=1/3=33.3%
To find the probability of the green cube landing with an even number face up and the white cube landing with a number greater than 2 face up, multiply the probabilities of each event happening. The probability is 1/3.
Explanation:To find the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The green cube has 3 even numbers (2, 4, and 6) out of 6 faces, so the probability of the green cube landing with an even number face up is 3/6 or 1/2.
The white cube has 4 numbers greater than 2 (3, 4, 5, and 6) out of 6 faces, so the probability of the white cube landing with a number greater than 2 face up is 4/6 or 2/3.
To find the probability of both events happening, we multiply the probabilities: (1/2) * (2/3) = 1/3.
Therefore, the probability that the green cube will land with an even number face up and the white cube will land with a number greater than 2 face up is 1/3. Option C, 1/3, is the correct answer.