Answer:
5. 27
6. -12
7. -15
Step-by-step explanation:
add and subtract
Ed’s den is 6 feet longer than it is wide. If the den's area is 352 square feet, what are the dimensions of the room?
Let's set W as the width of the room and L as the length of the den. We know that the den is 10 ft longer than it is wide so that means:
W + 10 = L
Let's call this equation 1.
So also know that the area of the den is 144 ft2. Knowing that the equation for the area of a square is W x L, we know that for this den:
W x L = 144
Let's call this equation 2.
So now we have 2 equations and 2 unknowns. Let's take equation 1 and solve for W:
W = L - 10
Now we can substitute this value into equation 2.
(L - 10) x L = 144
L2 - 10L = 144
This looks very close to a quadratic equation. In fact, if we subtract 144 from both sides, we get the quadratic equation of:
L2 - 10L - 144 = 0
Now we can factor this equation into:
(L+8)(L-18) = 0
That means the two answers for L are -8 ft and 18 ft.
We can now substitute these values for L into equation 1 to solve for W.
W = L - 10
W = 18 - 10 or W = -8 - 10
So our 2 values for W are 8 ft and -18 ft.
Let's just make sure we did this correctly. We know that the area is 144 so (-8*-18) and (18*8) should equal 144 and it does! That means we did it correctly. Give that a den exists, it does not make sense that it has negative values, so the one real answer for this problem is that the width is 8 ft and the length is 18 ft.
The dimensions of the room were 16 feet wide and 22 feet long.
Given that Ed's den is 6 feet longer than it is wide, to determine if the den's area is 352 square feet, what are the dimensions of the room, the following calculation must be performed:
15 x (15 + 6) = X 15 x 21 = X 315 = X
16 x (16 + 6) = X 16 x 22 = X 352 = X
Therefore, the dimensions of the room were 16 feet wide and 22 feet long.
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pleaseee help meeee 42 + 1 x 4
Answer:
46
Step-by-step explanation:
4 x 1=4 then 42+4=46
4.2: Weekend Earnings
Jada has time on the weekends to earn some money. A local
bookstore is looking for someone to help sort books and will pay
$12.20 an hour. To get to and from the bookstore on a workday,
however, Jada would have to spend $7.15 on bus fare.
Answer:
Step-by-step explanation:
5.15 for the first hour after subtracting 12.20(7.15)
a number is less than 15
Answer:
14,13,12,11,10,9,8,7,6,5,4,3,2,1,0,-1.-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14,-15
Step-by-step explanation:
just go left on a horizontal number line from 15
Solve for c.
a(c+b)=d
Answer:
is this correct
Step-by-step explanation:
(c+b)=d/a
c=d/a -b
Given the functions, f(x) =3x -2 and g(x) = x+2/3, complete parts 1 and 2.
Find f(g(x)) and g(f(x)). Include your work in your final answer. Use complete sentences to explain the relationship that exists between the composition of the functions, f(g(x)) and g(f(x)).
20 Points' !
A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is an inequality that could represent this situation?
Answer:
7
Step-by-step explanation:
A garbage company recycles ½ tons of plastic every 3 minutes. At this rate, approximately how many tons of plastic does the company recycle in two days?
Answer:
Total number of minutes in 2 days = 2880
Total time used for recycling garbage in 2 days = 2880/3 = 960
If 3 minutes = 1/2 tons
Then 960 minutes = 960*1/2 = 960/2 = 480
Therefore 480 tons of garbage where recycled in 2 days
What is the slope of the function?
A -6
B -4
C 4
D 6
Answer:
b
Step-by-step explanation:
Which polynomial is in standard form?
Answer:
C
Step-by-step explanation:
Standard form is [ ax² + bx + c ]
The exponents and variables determine what comes first. In [ 11x³ - 6x² + 5x ], we can see that the exponents are going from greatest to least and the last number doesn't have an exponent so it goes last. Essentially we can think of this as sorting each part from greatest to least using exponents -> variables -> number to determine that.
Best of Luck!
simplify the expression 9 – 4x – 2 + 8x
Find the distance between (4,3) and (10,11) ??
Answer:
10 units
Step-by-step explanation:
Formula is [ d = √(x2-x1)²+(y2-y1)² ]
= √(10-4)²+(11-3)²
= √6²+8²
= √36+64
= √100
= 10
Best of Luck!
someone help plz ASAP this is hard
Answer:
The first answer.
Step-by-step explanation:
Answer:
7x-6= -20
Step-by-step explanation:
7 times a number would be known as 7x because we don't know the number so we would put that as x.
6 less than would be -6
=-20
answer would be
7x-6=-20
PLEASE HELP ME:
John took a 5-mile walk to his friend's house.
.
He left at 11 a.m. and arrived at his friend's house at 12:45 p.m.
What was his average speed of walking in miles per hour?
Answer:
it would take 21 minutes per mile
Step-by-step explanation:
A factory makes car parts in different quantities as shown in the table. How much would 9 parts cost?
Number
of Parts
3
7
14
17
Cost
$1.65
$3.85
$7.70
$9.35
9 car parts would cost a total of $
nothing.
(Type an integer or a decimal.)
Answer:
$4.95
Step-by-step explanation:
Divide any number of parts by its corresponding price
Example 1.65/3 = .55
This value represents what each part is worth. Then multiply the price per part by the amount you are trying to find in this case 9
9 x .55 = 4.95
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The cost of 9 parts will be $4.95.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the cost of 3 parts is $1.65. Therefore, the cost of a single part will be,
Cost of single part = Cost of 3 parts / Number of parts = $1.65/3 = $0.55
Now, the cost of 9 parts will be,
Cost of 9 parts = Cost of a single part × Number of parts
= $0.55 × 9
= $4.95
Hence, the cost of 9 parts will be $4.95.
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1.8c+32
c=50
1.8(50)+32
Answer:
122
Step-by-step explanation:
1.8 times 50 is 90, and 90 plus 32 is 122
So, here we have the following equation... [tex]>See\;Below<[/tex]
[tex]1.8c+32[/tex]
We know that [tex]C=50[/tex] so the equation changes too the following... [tex]>See\;Below<[/tex]
[tex]1.8(50)+32[/tex]
So, lets remove the unneeded parentheses and add a multiplication sign [tex](*)[/tex]
[tex]1.8x50+32[/tex]
So, [tex]1.8*50=90[/tex] and [tex]90+32=122.[/tex]
So, [tex]122[/tex] is your final answer!
Fraction form: [tex]\frac{122}{1}[/tex]Decimal form: [tex]122.0[/tex]This is my way of saying thanks for the answer on the fishing story question. :D
s the value of the expression below when z = 3? 10z² - 2z - 2
Answer:
82
Step-by-step explanation:
10(3)² - 2(3) - 2
10(9) - 6 - 2
90 - 6 - 2
82
Best of Luck!
z = 3
Given Equation:10z² - 2z - 2
Solution:by putting the value of z, we get
10(3)² - 2(3) - 2
= 10(9) - 6 - 2
= 90 - 8
= 82
Answer:82
6(5x) =(x +14)+(x+17) + ( 8x+9)
Answer:x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
6 (5x) = (x +14) + (x+17) + (8x+9)
30x = 14 + 17 + 9 + 2x + 8x
20x = 40
x = 40/20
x = 2
Jose and Anna are both finding the square root of 75.
-Jose thinks √75 ≈ 8.3.
- Anna thinks √75 ≈ 8.6.
Who is closer to the approximation of √75? Explain how you know.
Answer:
Anna is closer she guessed 8.6, 8.6x8.6 is 73.96. Jose said it was 8.3, 8.3x8.3 is 68.89
Which rays are part of line BE?
Ac and
O AB and AĖ
AC and AB
AB and F
Answer:
We are given a diagram with different rays and lines.
Note: A line can be extend more and more upto infinitely length from both of the ends but a ray can be extend from end only.
We need to find the rays for the line BE.
We can see BE line has a point A in between line.
So, we can name the rays formed with end point A as AB and AE.
Therefore, AB and AE rays are part of line BE.
So, the correct option is 2nd option :
AB and AE.
Step-by-step explanation:
A 4-column table with 4 rows. Column 1 is labeled Service with entries Restaurant, Florist, Cab Fare, Dog Groomer. Column 2 is labeled Cost with entries 40 dollars, 94 dollars, 32 dollars, 62 dollars. Column 3 is labeled Gratuity with entries 18 percent, 12 percent, 20 percent, 26 percent. Column 4 is labeled Tax with entries 8.5 percent, 12 percent, 0 percent, 5.75 percent. Sheri made the list shown of costs she expects this week. To what percent should Sheri round the gratuity for the restaurant server in order to come up with a good estimate? 10% 15% 20% 30%
Sherri should round the estimate of gratuity of the restaurant server to 20% in order to get a good estimate.
What percent should Sheri round off to?In order to round off the gratuity of the restaurant server, which is 18% to a good estimate, we would be rounding off to the nearest ten. Because the unit digit is greater than 5, 1 would be added to the tens digit while the units digit would become 0. 18% becomes 20%.
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Answer:
C. 20%
( Hope this helps ) <3 ( Give person above brainliest )
5-7*
Someone please answer this
Answer:
-2
Step-by-step explanation:
hope i helped!
Answer:
The answer is - 2
Step-by-step explanation:
5-7= - 2
write the possible numbers between 1000 and 1100by by 11
Answer:
There are 10 terms
Step-by-step explanation:
Partition segment MR into a 2:1 ratio with point L. What are the coordinates of L?
M-(-2,-3)
R-(7,9)
Answer:
The coordinates of L are (4,5)
Step-by-step explanation:
Partition
Given the points M(-2,-3) R(7,9), we must find a point L(x,y) such that the distance from M to L is double the distance from L to R. This means:
[tex]\overline{ML}=2.\overline{LR}[/tex]
We'll apply that relation on both axes separately:
[tex]x_M-x=2(x-x_R)[/tex]
[tex]-2-x=2(x-7)[/tex]
Operating:
[tex]-2-x=2x-14[/tex]
Joining like terms:
[tex]3x=12[/tex]
Solving:
[tex]x= 12/3=4[/tex]
Now for the y-axis:
[tex]y_M-y=2(y-y_R)[/tex]
[tex]-3-y=2(y-9)[/tex]
Operating
[tex]-3-y=2y-18[/tex]
Joining like terms:
[tex]3y=15[/tex]
Solving
[tex]y=15/3=5[/tex]
Thus the coordinates of L are (4,5)
10x + 5
Please help me out
Answer:
-1/2 or -0.5
Step-by-step explanation:
10x +5 = 0
10x = -5
x= -5/10
x= -1/2 or 0.5
How do we find a common denominator
Answer:
It is very easy. Most of the time all you have to do is multiply the two denominators by each other, then multiply the numerators by the opposite numerator.
step-by-step explanation:
For example, if you have 1/3 and 1/4. The common denominator of both is 12, because 4 times 3 = 12. Then you have to multiply the numerators, so it would look like this in the end: 4/12 and 3/12. 4/12 when simplified is 1/3, and 3/12 when simplified is 1/4.
Find the value of this expression if x = 5.
x2 + 2
x+4
Answer:
If x=5, the solution would be 3.
Answer:
3
Step-by-step explanation:
Mkay, let's do this.
If x = 5 we can replace all the x-values with 5. Like so,
[tex]5^{2} + 2[/tex] alright, now [tex]5^{2} = 25[/tex] then add two.
For the bottom it's just 5+4=9 we've now got a new fraction.
[tex]\frac{27}{9} = 3[/tex]
Hope that helps and have a great day!
how can you tell whether a square root of a whole number is rational or irrational
Answer:
Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).Step-by-step explanation:
(4.2 x 10^2) x (2 x 10^3)
Answer: 840000
Step-by-step explanation:
The thickness of a notebook is i inch. If you stack one million
notebooks, how hight would they reach? Give the approximate height in
miles.
a. 16 miles
c. 1,578 miles
b. 189 miles
d. 83,333 miles
Answer:
A
Step-by-step explanation:
