Answer:
The side lengths are 10 by 7
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = (x - 11)(x - 8)
FOIL
70 = x^2 -8x-11x+88
Combine like terms
70 = x^2 -19x +88
Subtract 70 from each side
0 = x^2 -19x +88-70
0 = x^2 -19x+18
Factor
What number multiplies to 18 and adds to -19
-18*-1 =18
-18-1 = -19
0=(x-18)(x-1)
Using the zero product property
x-18=0 x-1=0
x=18 x=1
But x cannot x=1 because then the side lengths would be negative
x-18 = 10
x-11 = 7
The side lengths are 10 by 7
What is the domain of the function?
Answer: -6 ≤ x < 4
Step-by-step explanation:
Open circles on a graph mean that that point is not included
Filled in circles on a graph mean that that point is included
As a result, the end point (-6, -6) is included while (4, 8) is not
The domain is all possible x-values so the graph can be anywhere from:
-6 ≤ x < 4
Note that there are no possible values for the x-value of 4
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
Joe buys 6 adult tickets and 4 child tickets for the movies. Each adult ticket cost $9. Each child ticket cost the same amount. Joe pays with a $100 bill and gets $22 in change. How much does each child ticket cost?
Answer:
Each child ticket cost = $6
Step-by-step explanation:
Joe has = $100
His balance after tickets purchase = $22
Actual amount spent on tickets = $100 - $22 = $78
But,
Each adult ticket cost = $9
Total no of adult = 6
Total amount spent (adults) = $9 x 6 = $54
Balance remaining = $78 - $54 = $24
Amount spent of 4 child tickets = $24
No of children = 4
Therefore,
Amount spent on 1 child (1 ticket),
= $24/4 = $6.
It could be seen that each child ticket cost six dollars.
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Convert to pints: 10 quarts
20 pints
1 pints
100 pints
5 pints
Answer:
20
Step-by-step explanation:
20 pints because your convert 10 quarts into pints
Answer:
i think 100 pints
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
not sure but i think c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
10
9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
Reset
Submit
Submit
8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15
Answer:
A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
Step-by-step explanation:
Given
Ryan: 3 boxes per hour
Daniel: [tex]y = 4h[/tex]
Required
True statement about their functions
First, we calculate Ryan's function.
In 1 hour, he can pack 3 boxes.
In hours, he can pack 3h boxes.
So, the equation is:
[tex]y = 3h[/tex]
So, we have:
[tex]y = 3h[/tex] ---- Ryan
[tex]y = 4h[/tex] --- Daniel
Both functions represent direct proportional functions.
So, when h increases y also increases.
However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
HELP HAVING A BAD DAY
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?
I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER
Answer:
Rodger and Trish will finish the homework together for 30 hours. x=30
Step-by-step explanation:
This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)
To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)
6 5
12 10
18 15
24 20
30 25
30
And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.
Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is Expression?An expression is combination of variables, numbers and operators.
Let the total amount of work in the math homework is 1.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ3
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
I seem to be getting my questions wrong or be going on the wrong trail. Can someone help me decode this?
Answer:
A=4
B=3
C=2
D=1
Step-by-step explanation:
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
Right answers will get brainliest!
Answer:
42 = C (y ≤ 2)
43 = G (-x + 4x - 2)
44 = B (Its axis of symmetry is x = 14)
45 = H (x = 2)
Mr. Bucci goes to the grocery store and purchases
17 bags of raisins and a $2.97 jar of peanut butter.
His total cost was $34.76. What was the cost for a
bag of raisins?
Help
1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
18 is 14 percent of what?
Answer:
18 is 14% of 128.5714
Step-by-step explanation:
it's 77.78
Step-by-step explanation:
14: 18*100 =
(14*100): 18 =
1400: 18 = 77.78
Now we have: 14 is what percent of 18 = 77.78
Question: 14 is what percent of 18?
Percentage solution with steps:
Step 1: We make the assumption that 18 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=18$100%=18.
Step 4: In the same vein, $x\%=14$x%=14.
Step 5: This gives us a pair of simple equations:
$100\%=18(1)$100%=18(1).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418
$\Rightarrow x=77.78\%$⇒x=77.78%
Therefore, $14$14 is $77.78\%$77.78% of $18$18.
A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.
Answer:
C
Step-by-step explanation:
What is the measure of angle RTV?
Answer:
25 degrees
Step-by-step explanation:
70 degrees times 2 to get 140 for the outside arc on the left, then add 140 plus 90 plus 80 to get 310, then do 360-310 to get 50, then divide that by 2 to get angle RTV which is 25 degrees.
can someone help please
half of the triangle is a right angle triangle, so we use the phythagoras theorem and multipy our answer by 2
Please answer the question above.
Answer:
∠2 = 80°
Step-by-step explanation:
∠1 and ∠2 are supplementary angles (their sum is 180°)
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
1) Gary makes $15.00 per hour for a five-day
forty-hour work week. Also, he makes double-
time for holidays. This week, he works three
regular days and two holidays. What will be his
paycheck for this week?
A) $$40
B) $850
C) $860
D) $870
E) $880
Answer:
A) $840
Step-by-step explanation:
15•40 gives us how much money he makes a week normally
divide the result, 600, by 5 to find out how much he makes a day normally which is $120
now that we know how much he normally makes a day we can double $120 to $240 to show how much he makes on holiday days
so he makes $120 normally and $240 on holiday
120•3= 360
240•2= 480
then add
360+ 480= $840
hope this helps <3
Find x and y with ray theorem
Answer:
x = 12 and y = 9
Step-by-step explanation:
Using the similarity theorem to fid the value of x and y
16/x = 16+6/16.5
16/x = 22/16.5
22x = 16*16.5
22x = 264
x = 264/22
x =12
Similarly
24/x = 24+y/16.5
24/12 = 24+y/16.5
2 = 24+y/16.5
24+y = 2 * 16.5
24+y = 33
y = 33-24
y = 9
Hence x = 12 and y = 9
Find the output, y, when the input, c, is 6. HELP ASAP
Is parallelogram BCDE a rectangle?
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
Help please!!! I don’t knowwwwwwwww
Answer:
4th dot
Step-by-step explanation:
because