Divide the number of wooden cabinets by the number of days.
24 / 8 = 3
Carlos installed an average of 3 cabinets each day.
Explanation:To find the average number of cabinets installed each day, we divide the total number of cabinets installed by the number of days. In this case, Carlos installed 24 cabinets in 8 days, so we divide 24 by 8 to get an average of 3 cabinets installed each day.
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One side of a rectangle is 6 yd longer than three times another side. The area of the rectangle is 72 yd2. Find the length of the longer side.
Answer:
18 yds
Step-by-step explanation:
Let the length and width be L and W respectively.
Then L· W = area = 72 yd², so that L = (72 yd²) / W.
But also L = 3W + 6 yd. Subbing this into L· W = area = 72 yd², we get:
(3W + 6) · W = 72, or
3W² + 6W - 72 = 0. Since all four terms are evenly divisible by 3, we get:
W² + 2W - 24 = 0, which factors as follows:
(W + 6)(W - 4) = 0. Then W + 6 = 0, or W = -6 (makes no sense for a length), and W - 4 = 0 yields W = 4 yds.
If the shorter side is of length 4 yds, then the longer side is of length
L = 3(4 yds) + 6 yds = 18 yds
Answer:
18 yd
Step-by-step explanation:
(3x + 6) * x = 72
Use the distributive property
3x^2 + 6x = 72
3x^2 + 6x - 72 = 0
3(x^2 + 2x - 24) = 0
X^2 + 2x - 24 = 0
X can equal -6 and 4.
4 only works for this problem
4 * 3 = 12
12 + 6 = 18
So, the answer is 18 yd.
Let’s check our work.
3 * 4 = 12
12 + 6 = 18
18 * 4 = 72
So, we know for a fact that the longer side is 18 yd long.
I hope I helped!
Let me know if you need anything else!
~ Zoe
In Aunt Peggy’s attics there are spiders and ants, the total of 160 legs. And, there is one more ant than spider! How many spiders and how many ants? (A spider has 8 legs and an ant only 6.)
Answer:
let X represent the number of spider.
8x+6*(x+1)=160
8x+6x+6=160
14x=154
x=11
x+1=11+1=12
So the number of ants is 12, the number of spiders is 11.
Step-by-step explanation:
Which set of measures would give a clear conclusion about the data. Help please.
24,042 in expanded form
Answer:
20,000
+ 4,000
+ 0
+ 40
+ 2
Step-by-step explanation:
Brainiest please!
I think it's 4,000 I could be wrong
Match each injury with a long-term consequence.
Spinal cord injury
Headaches
B. Traumatic brain injury
Quadriplegia
C. Knee injury
Limited ability to walk and run
Answer:
I think
"Quadriplegia" would go with a "spinal cord injury".
Quadriplegia is a spinal cord injury that causes you to lose feelings in all four limbs.
A "knee injury" would go with "Limited ability to walk and run."
"Headaches" with "traumatic brain injury."
Hope this helps!
Answer:
Quadriplegia-Spinal cord injury
Headaches-Traumatic brain injury
Limited ability to walk and run-Knee injury
Step-by-step explanation:
Quadriplegia is the state in which a person can´t move any of its extremities, this is often cause by an accident to the spinal cord and it causes the nerves that connect the brain and the muscles in the bosy to stop functioning properly.
Headaches can be the consequence of a traumatic brain injury that didn´t healed well.
A knee injury often has as result the limited ability to walk and run.
A cabin cruiser travels 48 miles upstream (against the current) and 48 miles downstream (with the current). The speed of the current is 4 miles per hour. Find the total time traveled if the cabin cruiser travels at 12 miles per hour in still water.
The answer is:
The total time traveled is equal to 9 hours.
Why?To solve the problem, we need to write two equations using the given information about the travel upstream and downstream.
So, we need to write two equations:
Let be "x" the speed of the cabin cruiser (12 mph in still water)
Let be "y" the speed of the current (4 mph).
Then,
For the travel against the current (upstream), we have:
[tex](x-y)*t_{upstream}=48miles\\\\(x-y)*t_{upstream}=48miles\\\\(x-4mph)*t_{upstream}=48miles[/tex]
For the travel with the current (downstream), we have:
[tex](x+y)*t_{downstream}=48miles\\\\(x+y)*t_{downstream}=48miles\\\\(x+4mph)*t_{downstream}=48miles[/tex]
Also, we know that the speed of the cruise traveling in still water is equal to 12mph.
So,
Calculating the time traveled upstream, we have:
[tex](x-4mph)*t_{upstream}=48miles[/tex]
[tex](12mph-4mph)*t_{upstream}=48miles[/tex]
[tex](8mph)*t_{upstream}=48miles[/tex]
[tex]t_{upstream}=\frac{48miles}{8mph}=6hours[/tex]
Calculating the time traveled downstream, we have:
[tex](x+4mph)*t_{downstream}=48miles[/tex]
[tex](12mph+4mph)*t_{downstream}=48miles[/tex]
[tex](16mph)*t_{downstream}=48miles[/tex]
[tex]t_{downstream}=\frac{48miles}{16mph}=3hours[/tex]
Now that we know the time traveled upstream and downstream, we need to calculate the total time traveled using the following equation:
[tex]TotalTime=t_{upstream}+t_{downstream}\\\\TotalTime=6hours+3hours=9hours[/tex]
Hence, we have that the total time traveled is equal to 9 hours.
Have a nice day!
a quadradic polynomial has a degree of 2 true or false
Answer: True
Step-by-step explanation:
We know that the quadratics polynomials have this form:
[tex]f(x)=ax^2+bx+c[/tex]
You need to remember that the degree of a polynomial is given by its highest exponent.
You can observe in the quadratic polynomial [tex]f(x)=ax^2+bx+c[/tex] that the highest exponent is "2", which is the exponent of the term [tex]ax^2[/tex]
Therefore, since the highest exponent is "2", you should conclude that the degree of the polynomial is 2.
Then, you can say that a quadradic polynomial has degree 2.
The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.8 and 16 10 and 14 11 and 13 15 and 9
Answer:
10 and 14
Step-by-step explanation:
You need only check the answers to see which one satisfies the problem requirements. The differences between the second and first numbers are ...
8, 4, 2, -6
Only one pair has the second number 4 more than the first: 10 and 14.
_____
Since you are given variable definitions, perhaps you're expected to write and solve equations.
a + b = 24 . . . . . the sum of the two numbers is 24
-a +b = 4 . . . . . . the second number is 4 more than the first
Adding these two equations gives ...
(a +b) +(-a +b) = (24) +(4)
2b = 28 . . . . . simplify; next, divide by 2
b = 14 . . . . . . . identifies 10 and 14 as the correct answer
Answer:
10 14
Step-by-step explanation:
James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?
Answer: 17
Step-by-step explanation: 66 - 49 = 17
Answer:
He has 32 1 dollar bills and 17 2 dollar bills I THINK
32 + 17 = 49 and 32 + 17(2) = 66
(17 is wrong I can confirm)
can someone help me please ? :(
Answer:
last one
Step-by-step explanation:
Answer:
The second graph.
Step-by-step explanation:
The graph is the only possible answer. In the table, both values are shown to be rising, the second graph is the only one with both increasing values.
In the first one, only D is rising
In the third, only C is increasing
In the last, d is decreasing while C is increasing.
Which only leaves the second option.
There are 48 cookies at the holiday
party. 8 of the party guests are
going to share the cookies. How
many cookies will each guest
receive?
Answer:6
Step-by-step explanation: Each of the guest will have 6 cookies because 48/8
6 cookies for each guests u can do 48 divided by the number of guests to get 6
what is 43.2÷16= in partial quotients
43.2\16= 2.7 hope this helps
Answer:
2.7
Step-by-step explanation:
well 43.2/16 is 2.7 hopefully this is helpful :3
Translate to algebraic expression
29 increased by n
Answer:
29 + n
Step-by-step explanation:
To increase 29 by n, we add n to 29. Then we get 29 + n.
hope it helps.
PS plzzzz mark me brainliest
Answer:
29 + n
Step-by-step explanation:
When we increase a number by another number, we're performing the operation of addition, so the phrase here would translate to the expression 29 + n.
A store marks up merchandise 40% to make a profit. If the item costs the store $12, what is the selling price?
Answer:
$16.80
Step-by-step explanation:
The item costs the store $12.00
12 x 40% or 12 x 0.4 = 4.8
Add 4.8 to 12
And you get the price the store sells the product for profit, $16.80
What is the discriminante of 9x^2 + 2 = 10?
Answer:
C
Step-by-step explanation:
Use the formula for the discriminant.
[tex]b^2-4ac[/tex]
[tex](-10)^2-4(9)(2)[/tex]
[tex]100-72[/tex]
[tex]28[/tex]
BRAINLIEST!!!!
Identify the equation of the translated graph in general form
Answer:
Hyperbola:
[tex]x^2-y^2-8x+6y-1=0[/tex]
Step-by-step explanation:
the given hyperbola has equation:
[tex]x^2-y^2=8[/tex]
This is an equation of a hyperbola centered at the origin.
This hyperbola is translated so its center is now at T(4,3)
[tex](x-4)^2-(y-3)^2=8[/tex]
We expand to get:
[tex]x^2-8x+16-(y^2-6y+9)=8[/tex]
[tex]x^2-8x+16-y^2+6y-9=8[/tex]
[tex]x^2-8x-y^2+6y+7=8[/tex]
[tex]x^2-8x-y^2+6y+7-8=0[/tex]
[tex]x^2-y^2-8x+6y-1=0[/tex]
Answer:
Its B
Step-by-step explanation:
it just is lol
In an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are run.
The table shows the frequency of any number of 5s occurring in the trials.
Number of 5s 0 1 2 3 4
Frequency 6 9 33 9 3
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answer:
Step-by-step explanation:
Given that in an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are run.
No of 5's Freq Prob
0 6 0.1
1 9 0.15
0 33 0.55
3 3 0.05
4 9 0.15
60 1
The above is the probability distribution of the discrete variable.
lisa says that 43 is a 2 digit odd number that is composite. Is she correct.
No, even though 43 is a 2 digit odd number it’s not a composite.
[tex]\text{Hey there!}[/tex]
[tex]\text{Odd numbers are basically numbers that isn't evenly divided by 2}[/tex]
[tex]\text{Even numbers counts by 2 because you could find half of those numbers, you}[/tex] [tex]\text{can't find half of 43 which means that it is an odd number}[/tex]
[tex]\text{Yes, 43 is a(n) odd number but it is not a composite number}[/tex]
[tex]\boxed{\boxed{\text{Thus, Lisa is incorrect}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Suppose you are simplifying 4 + 3(8 - 3·2)2.
Choose all the steps which will be part of your work.
7(8 - 6)2
4 + 3(2)2
4 + 3(8 - 3·4)
4 + 3(5·)2
4 + 3·4
4 + 3(8 - 6)2
4 + 12
4 + 62
Answer:
4 + 3(2)2
4 + 3·4
4 + 3(8 - 6)2
4 + 12
Step-by-step explanation:
I am assuming the *2 after the parentheses is a power? if so, these would be your correct choices
Answer:
The steps used are 2,5,6,7.
Step-by-step explanation:
Given : Expression [tex]4+3(8-3\cdot 2)^2[/tex]
To find : Simplify and choose all the steps which will be part of your work ?
Solution :
Step 1 - Write the expression,
[tex]4+3(8-3\cdot 2)^2[/tex]
Step 2 - Solve the multiplication in bracket,
[tex]=4+3(8-6)^2[/tex]
Step 3 - Solve the bracket,
[tex]=4+3(2)^2[/tex]
Step 4 - Solve the square term,
[tex]=4+3\cdot 4[/tex]
Step 5 - Solve the product,
[tex]=4+12[/tex]
Step 6 - Add the terms,
[tex]=16[/tex]
Therefore, The steps used are 2,5,6,7.
asap asap asap now now now plz 12 20 and 21
Answer:
12. AM= 2x+4
MB= 5x-8
AB= ?
So to get AB, you would need to find the total measurements of AM and MB.
AM=MB
2x+4=5x-8
2x=5x-12
-3x=-12
x=4
20. AE= 37
21. AC= 16
Step-by-step explanation:
Which expression can be used to find the area of triangle RTS?
answer is 13 but I can't understand the question
I think there is no correct answer in this question!
you can solve this by analytic geometry rules easily!!
To ensure an excellent bond when brazing, the clearance gap between pipe and fitting must be _______ inches.
Step-by-step Answer:
Gap must be a maximum of 0.005 inches, and uniform all around. Round out with a sizing tool if necessary.
When brazing, the clearance gap between pipe and fitting should be between 0.002 and 0.006 inches.
This clearance gap is important to allow the brazing material to flow via capillary action and to create a strong, sealed joint. The exact clearance can vary depending on the materials and the application, but staying within this range is a good practice.
For brazing larger diameter pipes and fittings, a slightly larger gap may be acceptable, but generally it is best to maintain the smallest gap that will still allow for proper capillary action of the filler metal.
Express each ratio as a unit rate. Round to the nearest tenth or cent.
1. 68 miles per 2 gallons of gas
2. $10.50 for 2 lbs of rice
Answer:
1=0.84 per gallon
2=5.25 per lb
Step-by-step explanation:
Divide the cost or amount by how many of what there is. Ex= 10.5/2=5.25
Evaluate the expression when m= 6 and n = 7.
4n+m
Answer:
34
Step-by-step explanation:
4(7)+6
Answer:
34
Step-by-step explanation:
Substitute the m and n : 4(7) + 6
Solve: 28 + 6 = 34
At a pizzeria one day, 15% of the pizzas sold were topped with mushrooms.If 12 pizzas were topped with mushrooms, what was the toal number of pizzas sold that day?
15% = 12 out of 100%
100% = 80
What is the median of the data set?
Math Test Scores
5 | 0 3
6 | 5 4
7 | 5 7 8
8 | 2 4 5 6 7 7
9 | 0 1 2 3 4 6 7 9
5 | 0 = 50
49
85
86
87
The median of the data set is 6.0.
Data set
= 5, 0, 8, 6, 5, 6, 8, 9, 7, 0, 3, 5, 8, 8, 0, 6, 7, 7, 7, 9, 0, 1, 3, 5, 6, 8, 9, 9, 5, 0
Sort the data
= 0, 0, 0, 0, 1, 3, 3, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9
Find the middle value
= 6
The median of the data set is 6.0.
Complete question:
What is the median of the data set? History Test Scores 5 0 8 6 5 6 8 9 7 0 3 5 8 8 0 6 7 7 7 9 0 1 3 5 6 8 9 9 5 0 = 50 points
The median of the data set is 86
How to find the median
To find the median of a data set, you need to arrange the data in ascending order (from smallest to largest) and then find the middle value.
In the stem and leaf plot, we have to express the numbers as follows
50 53 65 64 75 77 78 82 84 85 86 87 87 90 91 92 93 94 96 97 99
The data set is 21. The meidan is the number in the middle. This will be the 11 position in this case
The number in the 11th positon here is 86
Help me please?????????????
Please give brainliest!
Answer: The answer to the first one is 99m. The answer to the second one is 62cm.
Step-by-step explanation: You would multiply 63 by 2 to get 126. You would subtract 126 from 324 to get 198. Then you would divide 198 by 2 which would equal 99 which is your answer.
You would divide 5828 by 94 to get 62 wich would be your answer.
Hope this helps!
Have a blessed day :)
The last time Esteban checked his credit score, it was 740, and his only credit event since has been applying for a store credit card. Which of these is most likely to be his credit score now?
According to the information, it can be inferred that the current credit score for Esteban is 730 because he has not used more transactions than eleven of his credit score.
What is the credit score?A credit score is a term that refers to an index that is intended to predict the chances that you will repay a loan on time.
This takes into account different factors related to your economy, so it is likely that the more movement of money you have, your score will be higher.
Based on the foregoing, it can be inferred that Esteban's score dropped because he has not made important transactions in recent months. Additionally, it has no recent transaction history.
Note: This question is incomplete due to missing information. Here is the complete information:
Options.
A. 730
B. 740
C. 750
D. 760
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Evaluating expressions for the value of x 4.5x-12 x=2
X = 2
4.5(2) -12
9 -12
= -3
Answer is -3
Find the surface area of the right square pyramid. Round your answer to the nearest hundredth.
ANSWER
C. 145.75 yd²
EXPLANATION
First we need to calculate the area of the four triangular faces.
The lateral surface area
[tex] = 4 \times \frac{1}{2} \times 5.3 \times 11.1[/tex]
[tex] = 117.66 {yd}^{2} [/tex]
The area of the base is
[tex] = 5.3 \times 5.3[/tex]
[tex] = 28.09[/tex]
To find the total surface area, we add the area of the square base to the area of the 4 triangular faces.
Therefore the total surface area is
[tex] = 117.66 + 8.09 = 145.75 {yd}^{2} [/tex]
Answer: Option C.
Step-by-step explanation:
To calculate the surface area of the right square pyramid, you need to use the following formula:
[tex]SA=\frac{1}{2}(4s)(l)+(s^2)[/tex]
Where "s" is the length of any side of the base and "l" is the slant height.
You can identify in the figure that:
[tex]s=5.3yd\\l=11.1yd[/tex]
Therefore, substituting these values into the formula, you get this result:
[tex]SA=\frac{1}{2}(4(5.3yd))(11.1yd)+((5.3yd)^2)\\\\SA=145.75yd^2[/tex]