Answer: t= 10 c= 1.5
Step-by-step explanation:
NO LINKS!!!
A mechanic charges $45 to inspect your heater, plus $80 per hour to work on it. You owe the mechanic a total of $385. Write and solve an equation to find the amount of time (h) (in hours) the mechanic works on your heater.
What is the equation and and the answer?
Answer:
385=80x+45
x=4.25 hours
A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.
Answer:
i. The company should use the cylindrical tubes.
ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
Step-by-step explanation:
i, Which packaging should the company choose?
The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.
For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.
So, ,A = 2(lb + lh + bh)
,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)
A = 2(24cm + 56 cm + 21cm)
A = 2(101 cm²)
A = 202 cm²
For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.
Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.
So, A' = 2πr(r + h)
A' = 2π(3 cm)(3 cm + 6cm)
A' = (6π cm)(9 cm)
A' = 54π cm²
A' = 169.65 cm²
Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
The company should use the cylindrical tubes.
ii. Justify your choice.
This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
find the slope of the line:
The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph
Answer:
How many volunteers worked a total of 4 hours
Step-by-step explanation:
Its right i got a one hundred my test
Answer:
How many volunteers worked at a total of 4 hours?
Step-by-step explanation:
kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%
Answer:Im pretty sure it's 25% percent loss
Step-by-step explanation:
sorry if im wrong
Exponential functions
Answer:
oh no i dunno how to do this
Step-by-step explanation:
Answer:
36, 6, (1/)36
1/6 ^ -2 = 6^2 = 36
1/6 ^ -1 = 6^1 = 6
1/6 ^2 = 1/36
25
What is the solution to the equation 12(x+5) = 4x?
Answer:
x = -7.5
Step-by-step explanation:
12(x+5) = 4x
12x+ 60 = 4x
60 = -8x
-7.5 = x
for brainiest:):):):):):):):):):):):)
Answer:
a) 12.5 in
b) 9.6 ft
Step-by-step explanation:
Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.
You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!
Hope this helps! :)
Which point on the graph represents the y-intercept?
The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle
Answer:
the answer is 20
Step-by-step explanation:
in the question they want the shortest side length of the triangle and they gave you the perimeter.
what we want to find is the x value.
so,
perimeter= the sum of all sides.
substituting,
80= 5x + 32 + 2 (3x+2)
80= 5x +32+6x+4
80=11x+36
80-36=11x
44=11x
44/11=x
4=x
so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.
5*4=20
32
2 (3*4+2)=28
so the shortest length is 20.
we can also check our answer to see if it is correct.
20+33+28= 80.
if p and q vary inversely and p is 17 when q is 15, determine q when p is equal to 5
Answer:
Step-by-step explanation:
q = 51
Writing these statements symbolically, we get p = k/q. This is inverse variation.
Solving for k, we get k = pq. Thus the governing equation is k = pq, or k = (17)(15) = 255.
We then have a specific equation: p = 255/q, or q = 255/p.
If p is 5, q is q = 255/5 = 51
Evaluate the expression for the given value.
2w+2l, when w=7, l=5
Answer:
2w+2l.
2(7)+2(5).
14+10.
24.
Diana finished 5/8 of her homework. what percentage is equivalent to the fraction of homework that Diana completed
Answer:62.5%
Step-by-step explanation:
Find the length of BC. Round your answer to the nearest tenth.
Answer:
6.8cm
Step-by-step explanation:
I dont have an explanation
On a certain hot summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $619.2. How many children and how many adults swam at the public pool that day?
Answer:
57
Step-by-step explanation:
Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = -
$70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
A: y=5x+7 b:y= 3x+5 c: y=2x+5
Answer: A: y=5x+7
Step-by-step explanation: Hope this help :D
Please help!!!!! 8th grade mathHint not A
Answer:
c
Step-by-step explanation:
it passes vertical line test and is linear
Answer:
C
Step-by-step explanation:
The answer is C. Hoped it helped.
Thomas is opening a savings account. Which integer represents his possible balance after making a deposit
A -10
B-5
C 0
D 10
Help??? The answer I put was an accident and I can’t take it away
Answer:
try clicking on another option?
Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.
Answer:
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
Step-by-step explanation:
A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:
[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]
[tex]x = \frac{\pi}{6}\,rad[/tex]
The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.
Find the 8th term of the geometric sequence 3, 9, 27, ...
Answer:
The geometric sequence given is:
3, 9, and 27
When provided with a geometric sequence we must first calculate the common ratio
r is obtained by dividing a term by its preceding term.
1) 9
---- = 3
3
2) 27
---- = 3
9
for the sequence
Common ratio r = 3First term a = 3n = 8The 8th term can be obtained through formula
n-1 (8 - 1)
T = ar = 3 × 3
n
7
= 3 × 3
= 3 × 2187 = 6561
Questions are in the image above.
Answer:
hope this helps
you will find all answer in the photo i sent
Which one? Do i chose
Answer:
226 inches cube
Step-by-step explanation:
The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.
Answer:
151 in^3
Step-by-step explanation:
pi x 3^2 x 5.5 (the approximate water level)
= 155
151 is the closest answer
help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
v=-16
Step-by-step explanation:
-2=2+v/4
(we know that 2+-4=-2 so we can see if that works)
(4*-4=-16)
2+-16/4=-2
(-16/4=-4)
2+-4=-2
Anyone please me on this!!
Answer:
27 degrees
Step-by-step explanation:
So looking at this rhombus, we can make out 4 seperate traingles.
How many degrees are in a traingle? 180.
Looking at the traingle with z angle in it, we can see that it is a right traingle.
Now, lets subtract that 90 degrees from the 180.
This leaves us with the 63 degrees and x that make up the 90 degrees that are left.
Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.
90 minus 63 is 27, so the angle of z is:
27 degrees
I hope this helps!
Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.
100 POINTS PLEASE HELP QUICKLY
A savings account starts with $312.50. After 9 years of continuous compounding at an interest rate, r, the account has $1250.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
P = 312.50
t = 9
r = ?
P(t) = P(9) = 1250
P(t) = Pe^(rt)
P(t) = Pe^(rt)
1250 = (312.50)e^(9r)
1250/312.5 = e^(9r)
4 = e^(9r)
ln(4) = ln(e^(9r))
ln(4) = (9r)ln(e)
[cancel out the e with ln on right side]
ln(4) = (9r)
ln(4) /9 = r
0.15 = r
ANSWER: 0.15 is the interest rateThe compound interest is computed both on the principal and the interest year on year. The rate of the interest is 0.16 or 16%.
What is savings account?A savings account is a type of account where an individual can save money for future purposes.
Here we havethe following information;
Principal = $312.50
Time = 9 years
Amount = $1250.
rate = ?
Using the formula;
A = P(1 + r/n)^nt
Where n =1
1250 = 312.50( 1 + r)^9
1250/312.50 = ( 1 + r)^9
4 = ( 1 + r)^9
1.16 = 1 + r
r = 1.16 -1
r = 0.16 or 16%
Learn more about compound interest: https://brainly.com/question/9904853?
PLEASE HELPLPPPpppppp
Answer:
40
Step-by-step explanation:
it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor
Answer:
Nosotros teníamos 120 dólares.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:
(i) Tu tienes la mitad de lo que tenías:
[tex]y = \frac{1}{2}\cdot x[/tex] (1)
(ii) Tendrás el triple lo que tienes:
[tex]z = 3\cdot y[/tex] (2)
(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:
[tex]x+y+z = z + 180[/tex]
[tex]x + y = 180[/tex] (3)
En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:
[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)
[tex]3\cdot y - z = 0[/tex] (2)
[tex]x + y = 180[/tex] (3)
La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].
Nosotros teníamos 120 dólares.
You can buy a 6 back of Gatorade for $4.99 or you can buy 1 for $0.89. Which is
the better buy?
6 for $4.99
1 for $0.89
Answer: 6 for $4.99
Step-by-step explanation: You would be better off buying 6 for $4.99 because the unit rate of each bottle is cheaper. You can find the unit rate by dividing 4.99 by 6 which equals .83
If you were to buy 6 for .89 you would end up spending $5.34.
Hope this helps :)
Answer:
6 for 4.99
Step-by-step explanation:
.89 x 6= 5.34
(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7
Answer:
The answer is D
