Answer:
The company can manufacture 135 boxes of stuffed animals for $5000
Step-by-step explanation:
To find b, substitute $5000 for c(x), so
5000 = 20b + 2300Then subtract 2300 from both sides of the equation, so
5000 (-2300) = 20b + 2300 (-2300)2700 = 20bFinally divide both sides of the equation by 20, so
2700/20 = 20b/20135 = bTo check your answer substitute 135 in as b...
c(x) = 20(135) + 2300c(x) = 5000Denise guessed that the elephant at the zoo weighed 10,000 pounds. It actually weighed 12,400 pounds. Yesia guessed that the hippopotamus weighed 2,500 pounds and it actually weighed 3,600 pounds.Whose guess had the smaller percent error?
Answer: weight of elephant has smaller percent error.
Step-by-step explanation:
Percent error = [tex]\dfrac{|\text{estimated value -actual value}|}{\text{actual value}}]\times100[/tex]
Estimated weight of elephant = 10,000 pounds
Actual weight of elephant = 12,400 pounds
Percent error of weight = [tex]\dfrac{|12400-10000|}{12400}\times100\%\approx19.35\%[/tex]
Estimated weight of hippopotamus = 2,500 pounds
Actual weight of hippopotamus = 3,600 pounds
Percent error of weight = [tex]\dfrac{|2500-3600|}{3600}\times100\%\approx30.55\%[/tex]
Since 19.35 < 30.55
hence, weight of elephant has smaller percent error.
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. 2, 7
Answer:
x²-9x+14
Step-by-step explanation:
So the roots are 2,7
So the equation is
(x-2)(x-7)
=x²-2x-7x+14
=x²-9x+14
Evaluate the expression -36/-9
Which unit rate is the lowest price per ounce? Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18 *
Answer:
Choice B.
Step-by-step explanation:
2.98 divided by 6 = 0.4966∞ (rounded to the nearest hundredths) 0.50
7.18 divided by 13 = 0.5523076923 (rounded to the nearest hundredths) 0.55
The difference is 5 cents.
~~~Hope this helps~~~ :)
Answer:
choice b
Step-by-step explanation:
Which measure of Center would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20
Answer:
The mean.
Step-by-step explanation:
The mean because 50 is a lot bigger number than the numbers in the list.
The median (the middle number in an ordered list) would still be 15. Also the mode (15) will also stay the same.
The original mean = sum of the 6 numbers divided by 6
= 92/5 = 15.3.
When 50 is added the mean is (92 + 50) / 7 = 20.3.
Answer:
The mean
Step-by-step explanation:
Because mean is the main measure of center that we solve first before solving the others
please help please
Which relations are functions? Select all that apply.
A. (3, 2), (-1, 7),(-3, 1), (0.9), (2, -4)
В.
х
-4
-2
у
9
12
15
c
x
1
2
3
4
y
2
4
6
13
D
Answer:
A and C
Step-by-step explanation:
For any relation to be considered a function, each domain value (x-value) must have exactly one range value (y-value). If a relation contains an x-value that has two or more y-value related/mapped to it, the relation is not a function.
Let's examine each option given.
Option A: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.
Option B: the x-value, 4, has two y-values, 12 and 15 assigned to it. Therefore, the relation is NOT A FUNCTION.
Option C: each x-value has exactly one y-value related or assigned to it. Therefore, the relation is A FUNCTION.
Option D: the x-value, 1, has two y-values, -1 and 1 assigned to it. Also, x-value, 3, has two y-values, 2 and -2 assigned to it. Therefore, the relation is NOT A FUNCTION.
Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)
Answer: 3/16(x+4)(x-4)(x-2)
Step-by-step explanation:
How do I solve this equation and check the solutions?
Answer:
The value of x is 10.
Step-by-step explanation:
The steps to do this :
[tex]x - \sqrt{2x + 5} = 5[/tex]
[tex]x - 5 = \sqrt{2x + 5} [/tex]
[tex] {(x - 5)}^{2} = {( \sqrt{2x + 5}) }^{2} [/tex]
[tex] {x}^{2} - 10x + 25 = 2x + 5[/tex]
[tex] {x}^{2} - 12x + 20 = 0[/tex]
[tex] {x}^{2} - 2x - 10x + 20 = 0[/tex]
[tex]x(x - 2) - 10(x - 2) = 0[/tex]
[tex](x - 2)(x - 10) = 0[/tex]
[tex]x = 2 \: (rejected)[/tex]
[tex]x = 10[/tex]
Assume Katelyn's loan was for $5,000 and that she will make 48 monthly payments of $117.42 to repay the loan. How much total interest will she pay over the life of the loan?
Answer:
Step-by-step explanation:
48*117.42=5636.16
Principle of the loan is $5000. Payback is $5636.16. She pays $636.16 in interest or 12.7232%. I got that by dividing the 636.16 of interest by 5000.
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?
Answer:
i. $26.16ii. He cannot afford the video gameStep-by-step explanation:
Step one:
given
selling price = $48
discount is 50%
tax= 4.5%
Step two:
let us first compute the amount in discount
=50/100*48
=0.5*48
=$24
also, let us compute the tax added
=4.5/100*48
=0.045*48
=$2.16
The total amount Garry has to pay is
=48-24+2.16
=$26.16
Step three:
If he has $25, he cannot afford the video game, he will have a deficit of $1.16
Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.
Step-by-step explanation:
First, subtract the $48 and 50% to find how much the video game costs.
So, $48-50%=24
Then, add the price of the video game, $24, to the 4.5% tax.
24+4.5%=25.08
Thus, Gary will need to pay $25.08 in all.
Given f(x) = 17x - 18, find x when f(x) = 33.
Answer:
f(x) = 17x - 18
y=17x-18
y=17(33)-18
y=561-18
y=543
f(x)=543
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Plug in 33 for f(x) into the first equation:
33 = 17x - 18
17x = -51
x = -3
what is the solution 4x-10=x+3x-2x
Answer:
x=5
Step-by-step explanation:
4 divided by 2/3
pls pls pls pls pls help pls pls
Answer:
4 divided by 2/3 (4 ÷ 2/3) = 6
Step-by-step explanation:
When you divide one number by another , this is the same as multiplying that one number by the reciprocal of that other number. So a/b = a × 1/b = a × b^-1.
Also a reciprocal is the same as taking something to the power of -1.
When you take the reciprocal of a fraction, just flip the numerator, and denominator.
b^-1 = 1/b.
b^-n = 1/b^n.
(a/b)^-1 = b/a
a/b^-1 = ab
Therefore 4 / (2/3) = 4 × 3/2 = 12/2 = 6.
Answer:
6
Step-by-step explanation: 4 ÷ (2 ÷3)=6
Can someone plz help me
Answer:
16.3 N
Step-by-step explanation:
subtract if the forces are opposite
Please help me answer number 12
Answer:
It is same.
The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.
Thank you and please rate me as brainliest as it will help me to level up
three segment measures are given. the three points named are collinear. determine which point is between the other two.
1. XY = 15, AY = 31, AX = 46
2. AB = 12, BC = 20, AC = 32
3. MO = 75, MC = 34, OC = 41
4. DE = 58, GE = 12, DG = 70
Answer:
1.
Step-by-step explanation:
31+25=46
AY+YX=AX
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation
(x – 8)2 = 144, x represents the side measure of the original lawn.
Answer:
The answer is 20 feet by 20 feet. Let's solve the equation: (x – 8)^2 = 144. (x - 8)^2 = 12^2. Since a^2 = b^2 is the same as a = b, then (x - 8)^2 = 12^2 can be simplified to: x - 8 = 12. Now, solve for x. x = 8 + 12. x = 20. Therefore, the dimensions of the original lawn were 20 feet by 20 feet.
I need this answer ASAP
Answer:
Step-by-step explanation:
Multiply 13*5 is 65
Answer:
I'm pretty sure the answer is 5
Step-by-step explanation:
A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.
PLEASE ANSWER FAST
Answer:
ayy
Step-by-step explanation:
sup
Answer:
12 4/5
Step-by-step explanation:
you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve
In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answer:
None of them like the android tablet
What steps would you follow in order to solve the equation?
w/8 - 4 = 20
add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8
Answer:
Step-by-step explanation:
w/8-4=20
add 4 to each side
w/8=24
multiply by 8 to clear out the w on one side
w=192
Plot the image of triangle \triangle ABC△ABCtriangle, A, B, C under a reflection across line \ellℓell.
Answer:
Please find attached the required plot of the reflection of ABC across line l
Step-by-step explanation:
The reflection of the coordinates of the points of a preimage across a line is given by points with distances on the other side of the line of the same length as the distances of the coordinates of the points of the preimage are from the given line;
Therefore, the image of the preimage is drawn by selecting points on the other side of the reflecting line that are equidistant from the line as the points of the preimage, and that are directly (vertically) opposite the points on the other side of the line as shown in the attached graph drawn with Microsoft Word
If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed
what the slope of(12,7) (5,9)
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?
Answer:
He can buy 5 pounds of peaches.
Step-by-step explanation:
2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.
Cindy struck out 7, 14, 6, 4, 5, and 6 batters in softball games this season. In discussing her stats with a newspaper reporter, Cindy's coach mentions that the average number of Cindy's strikeouts is 7. Is the coach's statement misleading? Explain why or why not.
Answer:
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
Step-by-step explanation:
The average is taken out by adding the observations and dividing by the total number of observations.
X`= ∑x/n where n is the number of observations.
Average = 7 + 14 + 6 + 4 +5 +6 /6
Average = 42/6= 7
The coach's statement is not misleading because her average strikeouts is 7.
Where as the coach also tells that it is 7.
Find the measurement
Answer:
AC = 40
Step-by-step explanation:
AC and BD are equal to each other in length. So:
4x-4 = 3x+7
Now you solve for x. Add 4 to each side.
4x= 3x + 11
Then subtract 3x from both sides.
X = 11. There you have X, now you plug 11 in for x in the AC= 3x+7
3(11) + 7 = AC
33 + 7 = AC
40 = AC
After every eighth visit to a restaurant you receive a free beverage. After every tenth visit you receive a free appetizer. If you visit the restaurant 100 times, on which visits will you receive a free beverage and a free appetizer? At which visit will you first receive a free beverage and a free appetizer? Drag and drop the correct value into each box to complete the statement. You will receive a free beverage and a free appetizer on the and visits, and you will first receive a free beverage and a free appetizer on the visit.
Answer:
40th and 80th visit
the first visit where you receive both is the 40th
Step-by-step explanation:
personally, I believe that the simplest way to solve this is use an excel spreadsheet to see which visits would include both a free beverage and a free appetizer:
both rewards would happen only twice, at the 40th and 80th visit.you can also calculate it mathematically since multiples of 8 and 10 do not repeat themselves very much, only when 8 is multiplied by 5 and 10.
Answer:
Step-by-step explanation:
Please help you get 14 points
Answer:
false
Step-by-step explanation:
because 17.5×4 doesnt equal 20
4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes?
Answer:
560 $
Step-by-step explanation:
4 shoes is 80
so, we have to multiply
$140
Or
£140
You are American so its the first one