Answer:
14.0625 = [tex]\frac{225}{16}[/tex]
6.41666666666... = [tex]\frac{77}{12}[/tex]
Hope that this helps!
The marginal cost function for manufacturing perfume is given by c(x) = 7x + 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10.
A.
$56
B.
$57
C.
$62
D.
$67
Answer:
A. $56
Step-by-step explanation:
the change of cost =
[7(10) + 28] - [7(2) + 28] = 98-42=56
What is the slope of the line that contains the
points (-6, 1) and (4,4)?
Answer:
3/10
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - 1 / 4 - (-6)
3/ 10
Answer:
Step-by-step explanation:
y1-y2
--------
x1-x2
so
and (x1,y1) and (x2,y2) are those points so plug it in
(1-4)/(-6-4) so that simplifies to -3/-10 so just 3/10 is the slope.
Hope this helps!
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.
units2
Answer:
A = 64 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi * 8^2
A = 64 pi
Ashley goes to the fair. She is charged $15.00 for admission plus $0.50 for each ride ticket. Ashley has $24.00 to spend at the fair. Write and solve an inequality to represent this situation. Explain what the solution to the inequality means in this situation.
Answer:
15 + x(.5) = 24 ; x = 18
Step-by-step explanation:
15 + 18(.5) = 24
15 + 9 = 24
Step-by-step explanation:
t is the number of ride tickets she can buy.
=>
[tex]15 + t \times 0.5 \leqslant 24[/tex]
she has to pay $15 just for entering. the rest of the money she can use for ride tickets.
so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.
the $15 admission goes off the $24 available money. that leaves $9.
each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.
so, again
[tex]15 + t \times 0.5 \leqslant 24[/tex]
[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]
[tex]t \times 0.5 \leqslant 9[/tex]
[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]
[tex]t \leqslant 18[/tex]
Find the next 3 terms of the following sequence 10,17,24
Answer:
31,38,45
Step-by-step explanation:
Answer:
31, 38, & 45
Step-by-step explanation:
The sequence 10, 17, 24 increases by 7 each term.
10 + 7 = 17
17 + 7 = 24
24 + 7 = 31
31 + 7 = 38
38 + 7 = 45
Andre currently runs a total of 12 Miles each week. he plans to increase the number of miles he runs each week by a 1.5 miles until he is running a total of 26 miles each week. how many weeks will it take Andre to reach his goal?
Answer:
1.5x+12=26
Step-by-step explanation:
Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.
Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.
Can anyone help me with this plz
Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure will consist of four square-based, two-inch thick slabs of clay, with each slab two inches less wide than the one beneath it. Fernando has one-half of a container of clay left after forming the first two slabs. Does he have enough clay to finish the structure?
Answer:
Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.
Step-by-step explanation:
Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.
Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.
We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.
So, 3V/2 = 2w² + 2(w - 2)²
= 2w² + 2(w² - 4w + 4)
= 2w² + 2w² - 8w + 8
= 4w² - 8w + 8
= 4(w² - 2w + 2) (1)
Also we want to know if V/2 is equal to the volume of the two top-most slabs.
So, V/2 = 2(w - 4)² + 2(w - 6)²
= 2(w² - 8w + 16) + 2(w² - 12w + 36)
= 2w² - 16w + 32 + 2w² - 24w + 72
= 4w² - 40w + 104
= 4(w² - 10w + 26)
From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)
Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.
what is the volume of a cube that has a height of 10 inches.
I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?
Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h
1/7h=3
What is the value of h in the equation?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{7}h= 3}[/tex]
[tex]\large\text{MULTIPLY 7 to BOTH SIDES}[/tex]
[tex]\mathsf{7\times\dfrac{1}{7}h = 7\times3}[/tex]
[tex]\rm{CANCEL: 7\times\dfrac{1}{7}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: 7\times3\ because\ that\ gives\ you\ the\ h-value}[/tex]
[tex]\larg\text{TEMPORARY new EQUATION: }\mathsf{7\times3=\bf h}[/tex]
[tex]\mathsf{7\times3=h}[/tex]
[tex]\mathsf{7\times3=\bf 21}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf h = 21}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
pls help im so bad at math
Angle E and D are supplementary and need to equal 170 when added together.
Angle D = 180-35 = 145
Angle D is split into two with part of it being 44
The missing angle is 145-44 = 101 degrees
The answer is 101
can someone help me with this question? will give thanks!
Answer:
B. 63
Step-by-step explanation:
There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.
Therefore:
(6 + 3)/3 = x/21
9/3 = x/21
3 = x/21
Cross multiply
21*3 = x
63 = x
x = 63
Please help me and if you can, could you please explain. Thank you :D
Answer: you said help so I’m not going to give the actual answer, just how to do it.
Step-by-step explanation:
You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.
Answer:
Step-by-step explanation:
Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that
is 10 cm by 10 cm.
How many times as toll is the box with the smaller base?
times as tall
Can somebody please help me out this test is due tomorrow and this is hard
Answer:
4 times
Step-by-step explanation:
Hope this helps!
The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.
Answer:
1
Step-by-step explanation:
Is anyone willing to do my ixl? I have loads of work to do and I need my ixl due tonight. It’s 8th grade math and I’d appreciate any help
8 divided by 3 over 5
Answer:
15.625
Step-by-step explanation:
5x5x5 =125 /8 = 15.625
Answer:
13.33333333 or 40/3
Step-by-step explanation:
hope this helps
have a great day/night
math is hard
I'll mark someone the brainlyest
Answer:
1/w^6 or w^-6
Step-by-step explanation:
You add the two exponents
I recommend putting 1/w^6
Please mark brainliest
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Figures are
not drawn to scale.
L
O
2
J
K
1.4
M
N
0
Answer:
4.2
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
2/1.4 = 6/MN
6•1.4/2 = MN
MN = 4.2
A sector with an area of 30pi cm^2 has a radius of 10 cmWhat is the central angle measure of the sector in degrees?
How much should you invest at 4.8% compounded continuously to have $5000 in 2 years?
Answer:
The total compound interest is $502.74 i think
Step-by-step explanation:
24/5
[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]
Please help me out with this problem :)
Find the maximum value of P= x + 6y subject to the following constraints
Answer:
I cant tell what the answer is cause X and Y dont have a value
Step-by-step explanation:
Answer:
p=9
Step-by-step explanation:
Solve 2x - 3y - 11 3x + 3y - 9 by elimination. Express your answer as an ordered pair.
Answer:
x= 4, y = -1
Step-by-step explanation:
2x-3y=11
3x+3y=9
do addition and you should get
5x=20
x=4
plug in x into any equation
12+3y=9
3y= -3
y=-1
Construction crew is using heavy equipment to dig a hole in which the foundation of a house will be built. The whole will be in the shape of a right rectangular prism with dimensions of 4 feet in depth, 100 feet long, and 50 feet wide. The soil will be removed using a truck that can hold a maximum of 40,000 pounds. The soil weighs 90 pounds per cubic foot. What is the least number of truckloads needed to remove all of the soil ?
Answer:
5
Step-by-step explanation:
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help asap thank you no links please and thank you .
Answer:
p = 4n
p = 312 passengers
n = 19.5 cars
Step-by-step explanation:
Let
n = number of cars
p = number of passengers
a. p = 4n
b. p = 4n
Find p if n = 78
p = 4n
p = 4 * 78
p = 312 passengers
c. Find n if p = 78
p = 4n
78 = 4n
Divide both sides by 4
78 / 4 = 4n / 4
19.5 = n
n = 19.5 cars
The perimeter of a regular pentagon is 60 meters. How long is each side of the
pentagon?
Answer and Step-by-step explanation:
To find out how long each side is, divide 60 by 5 (since there are 5 sides in a pentagon).
60 divided by 5 = 12.
Each side is 12 meters long.
#teamtrees #PAW (Plant And Water)
If x= -2, then what’s
4+x
——
3x
Answer:
a). 2 b). -6
Step-by-step explanation:
4+x
4 + (-2)
= 2
3x
= 3(-2)
= - 6
Answer:
Exact Form: [tex]-\frac{1}{3}[/tex]
Decimal Form: -0.333...
Simplify for ez fast points!
Answer:
-81
Step-by-step explanation:
-3 ^4
The negative is not included in the exponent
- (3)^4
- 3*3*3*3
-81
The hypotenuse of a right triangle is one inch longer than the longer leg. The shorter leg is seven inches shorter than the longer leg. Find the length of the hypotenuse.
Answer:
Length of hypotenuse is 13 unit or 5 unit
Step-by-step explanation:
Find;
Length of hypotenuse
Computation;
Assume;
Length of hypotenuse = h
Length of longer leg = h - 1
Length of shorter leg = h - 1 - 7
Using Pythagorean theorem
hypotenuse² = longer leg² + shorter leg²
h² = (h - 1)² + (h - 1 - 7)²
h² = (h - 1)² + (h - 8)²
h² = h² - 2h + 1 + h² - 16h + 64
h² = 2h² - 18h + 65
h² - 18h + 65 = 0
h² - 13h - 5h + 65 = 0
h(h - 13) -5(h - 13)
(h - 13)(h - 5)
So,
Length of hypotenuse is 13 unit or 5 unit