But these are graphs, not numbers! What do you think Diego and Mai are thinking?
Answers
Answer:
Diego and Mai are thinking of the slopes of the graphs!
Step-by-step explanation:
The slopes of the graphs are as follows:
Right: Negative slope
Center: Zero slope
Left: Positive slope
Therefore, you can conclude that the graphs are organized in order of slope.
(Let me know if you need more explanation as to why we know the slopes are positive, negative, zero, etc.)
Related Questions
What is 6+5+2-15? Best explanation gets brainliest!! Good luck :)
Answers
Answer:
[tex]-2[/tex]
Step-by-step explanation:
Step 1: Use PEMDAS
Parenthesis, Exponent, Multiplication, Division, Addition, Subtract
Addition first so, start adding from the left
[tex]6 + 5 + 2 - 15[/tex]
[tex](6 + 5) + 2 - 15[/tex]
[tex]11 + 2 - 15[/tex]
[tex](11 + 2) - 15[/tex]
[tex]13 - 15[/tex]
Now, subtract the last two numbers
[tex]13 - 15[/tex]
[tex](13 - 15)[/tex]
[tex]-2[/tex]
Answer: [tex]-2[/tex]
Answer:
Your answer would be -2
Step-by-step explanation:
Use the rules of PEMDAS.
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
For your question you have only subtraction and addition
Addition comes first so:
6+5= 11
then 11+2=13
then subtract 15
and you get -2
Hope this helps and mark me Brainliest please.
:):):):):)
Mia wants to spend less than $500 on new tile and installation fee is $275, and each tile costs $0.25. Let x represent the number of tiles. Which inequality describes the number of tiles Mia can purchase to keep her total cost less than $500?
Answers
Answer:
900 tiles
Step-by-step explanation:
Ok, so first you have to subtract $500 by $275 which equals $225. then multiply $225 by .25 and you get 900.
As the SAT is used for college admissions, the GRE is used for graduate school admissions. A sample of vorbal and
quantitative scores from the GRE are both normally distributed, with the values of H and are given below
Verbal Quantitative
1170 550
121 148
Kevin scored 610 on the verbal section and 700 on the quantitative section. Use the standard deviation as a unit of
measurement to compare Kevin's verbal and quantitative scores on the GRE
Answers
Answer:
Step-by-step explanation:
Dividing fractions
1. 4/5 divided by 1/3
Let’s see if you can answer this
Answers
Answer:
2 2/5
Step-by-step explanation:
4/5 x 3/1
12/5
=2 2/5
Answer:
Step 1: [tex]\frac{4}{5} /\frac{1}{3}[/tex]
Step 2: Change the fraction 1/3 into a whole number (Reciprocal of 1/3 is 3) [tex]\frac{4}{5} x 3[/tex]
Step 3: Multiply 4 (the numerator of the fraction) by 3.
Step 4: The product is 12/5.
Step 5: Simplify the answer to 2 2/5
Have a nice day and stay safe!
Choose the statement that is not true based on these diagrams.
38° + m∠2 + 108° = 180°
m∠A + 108° + 34° = 180°
m∠A = m∠2
m∠2 = 34°
Answers
Answer:
m∠A = m∠2
Step-by-step explanation:
38° + m∠2 + 108° = 180°
The above statement is true because the sum of angles on a straight line is 180°
m∠A + 108° + 34° = 180°
This is also true because the sum of angles in a triangle is 180°.
m∠A = m∠2
This statement is false because 34°≠32°
m∠2 = 34°
This statement is true because:
m∠2 = 180-38-108=34°
Answer:
C. m∠A = m∠2
Step-by-step explanation:
Placing the interior angles of a triangle adjacent to each other forms a straight angle.
Thank me if you learned from me and give me 5 stars it it is right!
When I went to the store, I purchased four items. The following shows the cost of three of the items:
$1.50
$3.00
$4.00
The line to the checkout was pretty long, so to quench my boredom I started playing with my pocket calculator while waiting.
I found out, to my surprise, that the four prices of the four items I purchased added to the same number as I got when I multiplied the four prices together.
What was the price of the fourth item?
Answers
The price of the 4rth item is $0.50.
How to find the price of the 4rth item?The three prices add to 1.50 + 3.00 + 4.00 = $8.50.
The three prices multiply to 1.50 x 3.00 x 4.00 = $18.00.
You might see that adding another $0.50 will take the total to $9.00, and multiplying by another $0.50 will take the product to $9.00 also, but the answer can also be found using algebra. Let's call the unknown price P:
1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P
8.50 + P = 18.00 x P
8.50 = 18.00 x P - P
8.50 = 17.00 x P
8.50/17.00 = P
P = 0.50.
Problem-solving is defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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Final answer:
To solve the puzzle, we create an equation with the fourth price as 'x' and set the sum of the prices equal to the product of the prices. After simplifying, we find that the fourth item must cost $2.00 to satisfy the condition.
Explanation:
The student is faced with a mathematical puzzle involving the addition and multiplication of prices of items purchased. The condition is that the prices added together equals the product of the prices. Given three of the prices as $1.50, $3.00, and $4.00, let us assume the price of the fourth item is x. Therefore:
Sum of prices: $1.50 + $3.00 + $4.00 + xProduct of prices: $1.50 × $3.00 × $4.00 × xThe equation to solve is:
$1.50 + $3.00 + $4.00 + x = $1.50 × $3.00 × $4.00 × x
Simplifying the equation:
$8.50 + x = $18.00 × x
Subtracting $8.50 from both sides gives us:
x = $18.00 × x - $8.50
Dividing both sides by x:
1 = $18.00 - $8.50 / x
Finally, solving for x:
x = $18.00 / ($18.00 - 1)
x = $2.00
Thus, the price of the fourth item is $2.00.
jim has an 8 foot board that he wants to cut into pieces that are 1/4 foot in length. how many 1/4 foot pieces can be cut from the 8 foot board?
Answers
Answer:
32 1/4ft pieces
Step-by-step explanation:
To get the answer divide 8 by one-fourth:
4*8 = 32 pieces
Support me by selecting my answer as brainiest.
Answer: The answer to you question is 2
Step-by-step explanation:
Step one: Divide the 8 by 1/4
Step two: Simplify the amount you get (which should be 2)
Step three: Box your answer
If an instrument measures in units of 0.5, then any value between which two values would be measured as 6?
Answers
Answer:
c.4.5 and 5.5
Step-by-step explanation:
Answer:
5.75 and 6.25
Step-by-step explanation:
i had it on a test
Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x – 4)
2 - 5x = 7x – 12
4(3 – x) = 2(6 - 2x)
5(x + 2) = 2(x – 4)
-4(x + 3) = 4(x - 1)
ANSWERS (A,E)
Answers
The equation that have no solution is: 6x + 1 = 3(2x - 4).
The correct option is the first option.
Here, we have to check which of the equations have no solution, we need to solve each equation and see if they lead to a contradiction or an inconsistency.
If the variable (x) cancels out during the solving process, it means that the equation has no solution.
1) 6x + 1 = 3(2x - 4)
Expand the right side: 6x + 1 = 6x - 12
Subtract 6x from both sides: 1 = -12
In this case, we end up with a contradiction (1 = -12), which means there is no solution.
2) 2 - 5x = 7x - 12
Add 5x to both sides: 2 = 12x - 12
Add 12 to both sides: 14 = 12x
Divide by 12: x = 14/12 = 7/6
This equation has a solution.
3) 4(3 - x) = 2(6 - 2x)
Expand both sides: 12 - 4x = 12 - 4x
Subtract 12 from both sides: -4x = -4x
In this case, the variable (x) cancels out, which means any value of x would satisfy the equation.
So, this equation has infinitely many solutions.
4) 5(x + 2) = 2(x - 4)
Expand both sides: 5x + 10 = 2x - 8
Subtract 2x from both sides: 3x + 10 = -8
Subtract 10 from both sides: 3x = -18
Divide by 3: x = -18/3 = -6
This equation has a solution.
5) -4(x + 3) = 4(x - 1)
Expand both sides: -4x - 12 = 4x - 4
Add 4x to both sides: -4x - 4x - 12 = 4
Combine like terms: -12 - 4 = 8x
Combine like terms on the left side: -16 = 8x
Divide both sides by 8 to isolate x: x = -2
This equation has a solution.
So, the equation that have no solution is: 6x + 1 = 3(2x - 4).
Hence, The correct option is the first option.
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Final answer:
To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. The equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x).
Explanation:
To determine which equations have no solution, we need to solve each equation and see if any values of x make the equation false. Let's go through each equation:
6x + 1 = 3(2x – 4)Simplifying both sides, we get 6x + 1 = 6x - 12. Subtracting 6x from both sides gives us 1 = -12, which is not true. Therefore, this equation has no solution.2 - 5x = 7x – 12
Combining like terms, we get -5x - 7x = -12 - 2, which simplifies to -12x = -14. Dividing both sides by -12, we find that x = 7/6. Therefore, this equation has a solution.4(3 – x) = 2(6 - 2x)
Simplifying both sides, we get 12 - 4x = 12 - 4x. This equation is true for all values of x. Therefore, this equation has infinitely many solutions.5(x + 2) = 2(x – 4)
Expanding both sides, we get 5x + 10 = 2x - 8. Combining like terms, we get 3x = -18. Dividing both sides by 3, we find that x = -6. Therefore, this equation has a solution.-4(x + 3) = 4(x - 1)
Expanding both sides, we get -4x - 12 = 4x - 4. Adding 4x to both sides gives us -4 = 8x - 4. Adding 4 to both sides gives us -8 = 8x. Dividing both sides by 8, we find that x = -1. Therefore, this equation has a solution.
So, the equations that have no solution are 6x + 1 = 3(2x – 4) and 4(3 – x) = 2(6 - 2x). The correct answers are A and E.
The Donut Spot is a local bakery that Steve
and Hannah visit each morning on their way to
work. One day Steve purchased 3 doughnuts
and 2 cups of coffee for $10.45. Hannah
purchased 2 doughnuts and 1 cup of coffee for
$6.17. What is the individual price for a single
doughnut and a single cup of coffee?
Answers
Kendall's credit card has an APR of 29%, calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of Previous New Payment Finance Principal N ew
month balance charges received charges
paid balance
$0.00 $188.00 $0.00 $0.00 $0.00 $188.00
S188.00 $105.00 S297.54 $4.54 $293.00 $0.00
50.00 $73.00 $27.34 $0.00 $27.34 $45.66
$45.66 $278.00 $48.11 $1.10 $47.01 $276.66
$276.66 $21.00
$6.69 $136.29 $161.36
$161.36 $ 193.00 $32.99 $3.90 $29.09 $325.27
$325 27 $344.00 $22.94 $7.86 $15.08
What is the new balance at the end of month 7?
OOOO
O A. $297.54
O B. $654.19
O C. $0
O D. $325.37
PREVIOUS
Answers
Answer:
i think its B
Step-by-step explanation:
try to make the q more simple
Can someone plz help? I suck at these lol. Thanks :3
Answers
Answer:
im not sure but it might be 75
Step-by-step explanation:
What is the area of the trapezoid?
20 ft
24 ft
Answers
A linear function has a slope of 5/3 and crosses the y-axis at -12. What is the equation of the line?
Answers
Answer:
y=[tex]\frac{5}{3}[/tex]x-12
Step-by-step explanation:
slope= 5/3
y intercept= -12
Answer:
y=\frac{5}{3}x-12
A circular flower bed is 22 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk is "blank" m to the power of 2
Plz answer will give brainiest plz i need help fast
Answers
Answer:
The area of the blank M is 326.56m²
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes
Given data
Diameter of flower bed d=22m
Radius of flower bed r= 11m
Width of side walk x =4m
To solve for the area of the blank we need to subtract the area of the side walk from the area of the flower bed
But we don't know the diameter of the side walk
Let the diameter of the side walk be D= diameter of flower bed +2(width of the side walk )
D= 22+2(4)
D=22+8
D=30m
Radius of side walk is R=30/2 =15m
Area of blank =area of side walk minus area of flower bed
Area of circle =πr²
Area of blank M = πR²-πr²
M= π(R²-r²)
M= 3.14(15²-11²
M=3.14(225-121)
M=3.14(104)
M= 326.56m²
The area of the blank M 326.56m²
M to the power of 2 =326.56²=106641.43
Study the steps shown to solve the given equation.
(√30 - 2x)= x - 3
30 - 2x = x2 - 6x + 9
0 = x2 - 4x - 21
0 = (x + 3)(x - 7)
Based on the above work, possible solutions of the equation are
and
Check the answers in the original equation. The extraneous solution
is x=
Answers
The possible solutions are -3 and 7, and the extraneous solution is x = -3,
From the steps shown, the last step is:
[tex]0 = (x + 3)(x - 7)[/tex]
Rewrite as:
[tex](x + 3)(x - 7)=0[/tex]
Split
[tex](x + 3)=0\ or\ (x - 7)=0[/tex]
Remove brackets
[tex]x + 3=0\ or\ x - 7=0[/tex]
Solve for x
[tex]x =-3\ or\ x =7[/tex]
So, the possible solutions are -3 and 7
Substitute -3 and 7 for x in the original equation to determine the extraneous solution.
[tex]\sqrt{30 - 2x}= x - 3[/tex]
[tex]\sqrt{30 - 2(-3)}= -3 - 3[/tex]
[tex]\sqrt{36}= -6[/tex]
Take square root of 36
[tex]6= -6[/tex]
[tex]\sqrt{30 - 2x}= x - 3[/tex]
[tex]\sqrt{30 - 2(7)}= 7- 3[/tex]
[tex]\sqrt{16}= 4[/tex]
Take square root of 16
[tex]4= 4[/tex]
Hence, the extraneous solution is x = -3, because [tex]6 \ne -6[/tex]
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The both the correct answer's displayed in the image below.
Helllpppp): please !!
Answers
Answer:
x = 4
Step-by-step explanation:
If the triangles are similar then the ratios of corresponding sides must be equal, that is
[tex]\frac{EF}{YZ}[/tex] = [tex]\frac{DE}{XY}[/tex] , substitute values
[tex]\frac{2x-1}{14}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10(2x - 1) = 70 ← distribute left side
20x - 10 = 70 ( add 10 to both sides )
20x = 80 ( divide both sides by 20 )
x = 4
Answer:
Answer is x=4
Step-by-step explanation:
[tex]given \: that \: def \: is \: similar \: to \: xyz \\ by \: similarity \: theorem \\ \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz} \\ \\ \frac{5}{10} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ \frac{1}{2} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ therefore \\ \frac{1}{2} = \frac{2x - 1}{14 } \\ 2x - 1 = 7 \\ 2x = 8 \\ x = 4[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
what is the volume of the square with radius of 5 cm. Use 3.14 for π.
Answers
Answer:
523.3 cubic centimeters
Step-by-step explanation:
I'm assuming you mean sphere, not square.
Volume of a sphere:
V = 4/3 * πr^3
Plug in our value for radius:
V = 4/3 * π5^3
Simplify:
V = 4/3 * 3.14 * 125 = 523.3 cubic centimeters
so we have to do 8 1/4 + 3 5/6
Answers
Hope this will help u...
Answer:
145/12 or 12.08333333
Step-by-step explanation:
Help me please thanks
Answers
Answer:
24 pi/3 or approximately 25.12 cubic feet
Step-by-step explanation:
A cone's volume is a third of a cylinder's volume.
Mrs. Gomez has two kinds of flowers in her garden. The ratio of lilies to daises in the garden is 5:2
If there are 20 lilies, what is the total number of flowers in her garden?
Answers
Answer: 28 flowers
Step-by-step explanation: if the ratio is 5 : 2 that means that the ratio was multiplied by four to get 20 for the number of lilies . multiply 2 times 4 to get 8 and then add that to the totally number of lilies to get 28 flowers in total .
There are 28 flowers in her garden.
Ratio of flowers lilies to daises are 5:2, Number of lilies = 20 by this information total number of flowers in Mrs. Gomez to be determine.
The ratio can be defined as between two quantity the quantity of 1 present relative to quantity 2.
Let there are "d" number of daises in garden, than ratio can be.
20/d = 5/2
d = 8
Number of daises = 8
Now,
Total number of flowers = 20+8
= 28
Thus, there are 28 flowers in her garden.
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y varies directly as x and y=0.5 when x=2. What is y when x=10?
Answers
y=0.25x
Step-by-step explanation:
the initial statement is
y
∝
x
to convert to an equation multiply by k the constant of
variation
⇒
y
=
k
x
to find k use the given condition
y
=
0.5
when
x
=
2
y
=
k
x
⇒
k
=
y
x
=
0.5
2
=
0.25
Answer:
y=2.5
Step-by-step explanation:
Proportion
(2/.5)=(10/y)
Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6
Answers
Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
[tex]y = 3x - 2.[/tex]
[tex]10(x + \frac{3}{5} ) = 2y[/tex]
A. [tex]y = 5x + \frac{3}{10}[/tex]
B. [tex]y = 5x + 3[/tex]
C. [tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]
D. [tex]y = \frac{1}{2} x + 6[/tex]
Answer:
B. [tex]y = 5x + 3[/tex]
Step-by-step explanation:
Given
Equation 1: [tex]y = 3x - 2.[/tex]
Equation 2: [tex]10(x + \frac{3}{5} ) = 2y[/tex]
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2
[tex]10(x + \frac{3}{5} ) = 2y[/tex]
Open the bracket
[tex]10*x + 10 *\frac{3}{5} = 2y[/tex]
[tex]10x + \frac{30}{5} = 2y[/tex]
Simplify fraction
[tex]10x + 6 = 2y[/tex]
Divide through by 2
[tex]\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}[/tex]
[tex]5x + 3 = y[/tex]
Re-arrange
[tex]y = 5x + 3[/tex]
The next step is to compare each of option A through D with [tex]y = 5x + 3[/tex]
A.
[tex]y = 5x + \frac{3}{10}[/tex] is not equal to [tex]y = 5x + 3[/tex]
We check the next available option
B.
[tex]y = 5x + 3[/tex] is equal to [tex]y = 5x + 3[/tex]
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.
[tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]
Convert fraction to decimal
[tex]y = 0.2x + 0.12[/tex]
This is not equal to [tex]y = 5x + 3[/tex]
D.
[tex]y = \frac{1}{2} x + 6[/tex]
Convert fraction to decimal
[tex]y = 0.5x + 6[/tex]
This is not equal to [tex]y = 5x + 3[/tex]
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
Answer:
The answer is B
Step-by-step explanation:
Can i have Brainliest
3. d-6 = -10
4. m-14=-17
5. w-23=59
6. x-57= -15
7. x-31= -7
8. x + 51= -9
Answers
Answer: 3. d= -4 , 4. m= -3 , 5. w= 82 , 6. x=42 , 7. x=24 , 8. x= -60
Step-by-step explanation:
3. Step 1: Add 6 to both sides.
d−6+6=−10+6
d=−4
4. Step 1: Add 14 to both sides.
m−14+14=−17+14
m=−3
5. Step 1: Add 23 to both sides.
w-23+23=59 + 23
w= 82
Continue to repeat the step for the other ones. If there is a positive then subtract on both sides!
What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.
–11
–2
0
2
11
Answers
This is because if you do 2•2 you get 4. 2•9 you get 18. Add 4+18=22
22-22=0
Answer:
The correct answer is 2 and -11
Step-by-step explanation:
Find the product of (x − 5)2. (1 point) x2 + 10x + 25 x2 − 10x + 25 x2 − 25 x2 + 25
Answers
Answer:
x² - 10x + 25
Step-by-step explanation:
Given
(x - 5)²
= (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25
What is the speed for this question
Answers
Answer:
No
Step-by-step explanation:
La pagina e bloccata
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The relationship between speed, distance, and time is ...
speed = distance/time
distance = speed×time
__
Use the given time & distance to find the speed. Apparently, we're to assume the speed remains constant, so the remaining distances will be the product of speed and time.
The plane flies 610 miles in one hour.
Task Directions: Ms. Chang's class decides to order posters that advertise a walkathon to raise money for
a local charity. Ichiro obtains quotes from two different companies.
Clear Prints charges $2 per poster
Posters by Sue charges $15 plus $.50 per poster.
a. Write an equation Ichiro could use to calculate the cost for any number of
posters Clear Prints.
Answers
Answer:
a.
Clear Prints = [tex]2p[/tex]
Sue = [tex]15 + 0.5p[/tex]
b. 10 posters
c. See Below
d. Clear Prints
e. See Below
Step-by-step explanation:
Complete Question:
Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.
a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.
b. For what number of posters is the cost the same for both companies? Explain.
c. Which company do you think the class should buy posters from? Explain your reasoning.
d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?
e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?
Solution:
a.
Let the number of posters be "p" so
Clear Print would take 2 * p or "2p"
Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"
b.
We want cost of both to be same. So we can equate:
[tex]2p=15 + 0.5p[/tex]
Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:
[tex]2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10[/tex]
So, for 10 posters, the cost of both will be same
c.
It depends.
If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.
d.
If the budget is $18, they can get:
Clear Prints = 18/2 = 9 posters made
Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3
At 0.5 per poster, 3/0.5 = 6 posters
So, taking Clear Prints would be better.
e.
The budget of 18 is increase by 10, so the budget is:
18 + 10 = $28
From clear prints, you can get:
28/2 = 14 posters
From Sue, you can get:
28 - 15(fixed cost) = 13 left for posters
13/0.5 = 26 posters
Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.
Ben is 3 times as old as Daniel and is also 4 years lolder than Daniel.
How old is Ben?'
Answers
To find Ben's age, we establish an equation based on the given information that Ben is three times as old as Daniel and four years older. Solving this equation reveals that Daniel is 2 years old, therefore, Ben is 6 years old.
Explanation:The question states that Ben is 3 times as old as Daniel and also 4 years older than Daniel. To solve for Ben's age, let's assign the variable D to represent Daniel's age. Therefore, Ben's age can be expressed as 3D. It's also stated that Ben is 4 years older than Daniel, which gives us another equation, Ben's age equals Daniel's age plus 4 (D + 4).
Setting these two expressions for Ben's age equal to each other gives us: 3D = D + 4. By solving this equation, we subtract D from both sides to get 2D = 4. Dividing both sides by 2 gives us D = 2, which is Daniel’s age.
To find Ben's age, we multiply Daniel’s age by 3, as Ben is three times older than Daniel. So, Ben's age is 3 * 2 = 6 years old.
A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket?
Answers
Answer:
square root of 80 or about 8.9 feet
Step-by-step explanation:
Use the Pythagorean Theorem:
8 squared times 4 squared=80
=square root of 80