Answer:
A=61.8\ units^2
Step-by-step explanation:
The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that
2x^2 - 5x - 18 = 0 and hence find the value of length AB.
Answer:
The value of AB is 9/2 or 4.5
Answer:
4.5 cm
Step-by-step explanation:
The total area is the sum of areas of two rectangles:
x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2 discarded as negative2x-9=02x=9x=4.5AB=4.5 cm
PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *
x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality
Answer:
The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-2 = x + 28[/tex]
Turn the equation over:
[tex]x + 28 = -2[/tex]
-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:
[tex]x + 28 - 28 = -2 - 28[/tex]
[tex]x = -30[/tex]
So, the final answer is [tex]x = -30[/tex] .
7(+5)=21
can you please help with math problem
You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?
Select the correct choice below and fill in the answer box to complete your choice
A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is
(Simplify your answer. Do not include the $ symbol in your answer)
B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist
(Simplify your answer. Do not include the 5 symbol in your answer.)
minutes can be rented for $26
(Round to the nearest minute as needed)
A linear model
reasonable for this situation
Answer:
(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t +8
The time that can be rented for $26 = 1min
Step-by-step explanation:
Based on the information given:
Setup charge on Rent at local copy center = $9
an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.
For every 5min = $150
For 1 min = $150/5
For t min = 150t/5
Where t = number of minutes of rental time
Rental cost = set up charge + additional cost
Let Rental cost = R(t)
R(t) = 9 + 150t/5
Writing it in form of a linear equation: y = mx + c
R(t) = 150t/5 +9
R(t) = (150/5) ×t + 9
R(t) = 30t + 9
The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is
R(t) = 30t + 9
The time that can be rented for $26:
Rental cost = $26
R(t) = 30t +9
26 = 30t +9
26-9 = 30t
17 = 30t
t = 17/30 = 0.57
t is approximately = 1min (nearest minute)
The time that can be rented for $26 = 1min
the volume of a cylindrical container is 1500 cm cube if the base area of the container is 120 cm cube what is the height of the container
Answer:
12.5cm
Step-by-step explanation:
The height is found in the following way:
Volume divided by Area of Cross section.
So,
1500 divided by 120 = 12.5 cm
Match the graph to the correct inequality below.
Answer:
x > -3
Its an open dot so its not the one with the line under it.
Which question should you expect to be answered with variable data?
How many seventh graders are at school today?
How tall is the Empire State Building?
What is the age of my science teacher?
In what months were my family members born?
Answer:
The correct answer is the last one.
Step-by-step explanation:
Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.
The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).
The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.
Hope this helps!
the answer is D.
here is proof
Which numbers are written in scientific notation check all that apply
Answer:
2.7 x 10⁻³
6.1 x 10⁵
9.582 x 10⁶
Step-by-step explanation:
The first digits part should be more or equal 1 and less 10
Answer:
Step-by-step explanation:
B c and d
At the end of the first round of a game, Luis has a score of -5 points. At the end of the second round, he has a score of 3 points. How many points did he score in the second round? Complete this model to represent the problem: score at the end + = ? of the first round
Plzzzzz i need help fast
Answer:mode is 0
`
Step-by-step explanation:mode is the most repeated value
Which expression is equal to -3b^4(6b^-8)? Assume b=/0
Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
Please do quickly Thank you
Answer:
21x+4
Step-by-step explanation:
To find the perimeter you have to add up all the sides
Q: 3
^Ignore above^
Just help me again please
Answer:
d. 192 m^2
Step-by-step explanation:
just multiply length and width
evaluate 1/2^-2x^-3y^5
A) -1/32
B) 16
C) -16
D)-4
Answer:
To answer this question you need to x and y
Step-by-step explanation:
n over 24 = 15 over 18?
Answer:
n = 20
Step-by-step explanation:
cross multiply and divide
18n = 360
n = 20
Point S(6,-2) is translated 3 units left.What would be the coordinates of the resulting point,S’?
Answer:
S'(3,-2)
Step-by-step explanation:
m 1 = a) 40 b) 130 c)50
Answer:
C) 50
Step-by-step explanation:
You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.
Please help me ASAP!!
Answer:
[tex] \boxed{[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] } [/tex]
Step-by-step explanation:
[tex]3 \times 1 = 3 \\ \\ 3 \times ( - 4) = - 12 \\ \\ 3 \times 5 = 15 \\ \\ 3 \times ( - 7) = - 21 \\ \\ \\ = > 3.[1 \: \: \: - 4 \: \: \: \: \: \: 5 \: \: \: - 7] =[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] [/tex]
Write a polynomial function of least degree with zeros 1, -2, -3
Answer:
f(x) = (x - 1)(x + 2)(x + 3)
Step-by-step explanation:
The function would be f(x) = (x - 1)(x + 2)(x + 3). This is of the third degree.
You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9 years
Answer:
1498.17
Step-by-step explanation:
formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.
r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months
n = 9 x 12 = 108 ( 9 years in months)
A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167
Answer:
Step-by-step explanation:
A = I(1+r/n)^nt
A = ?
I = $1000
r = 4.5% = 4.5/100 = 0.045
n = 12
t = 9
A = 1000(1+0.045/12)^108
A = 1000(1.00375)^108
A = $1498.17
calcule abc + bca+cab (a + b + c) =225
Answer:
Step-by-step explanation:
learn it
the volume of a cylindrical container is 1500cm. if the base area of the container is 120cm. what is the height of the container
Answer:
12.5 cm
Step-by-step explanation:
Find the height of a prism in the following way:
height = Volume divided by Area of cross section.
Substitute the values and so you have:
1500 divided by 120 = 12.5
. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2 1/2 times 4 7/84.3 3/5 times 2 3/85. 3 1/2 times 3 3/8Whoever can solve at least 2 from each set is awesome!
Answer:
Step-by-step explanation:
4/18×2/92
=1/9×1/23
=1/207
1/9×3/63
=1/3×1/23
=1/69
12/14×1/84
=1/14×1/7
=1/98
1/7×5/65
=1/7×1/13
=1/91
17/20×1/61
=17/1220
4 1/4 ×3 1/22
=17/4×67/22
=1,139/88
=12 83/88
3 5/6×4 1/23
=23/6×93/23
=93/6
=15 3/6
=15 1/2
2 1/2×4 7/84
=5/2×343/84
=1715/168
=10 35/168
I have answered more than 2 from each set
7^2=49 in log form pls
Answer:
log7(in the baes)49=2
Step-by-step explanation:
5
and
4i
What is the distance
Answer:
=√41
Steps:
D=√(5-0)²+(4-0)² = √25+16 = √41
The answer for this question is =√41
1: D=√(5-0)²
2: +(4-0)²
3: = √25+16
4: = √41
Please mark brainliest
Hope this helps.
Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw
Answer: 27
Step-by-step explanation:
111/4= 27.75
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need help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3/5
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In this case, that is 6/10, which can be simplified to 3/5. Hope this helps!
6/10, or 3/5. (sine is opposite/hypotenuse)
The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?
Answer:
80 Degrees celsius
Step-by-step explanation:
176 - 32 = 144
144 * 100/180 = 80
please help me with question b) and please explain!!
look at the attached image
Answer:
17
Step-by-step explanation:
let x be the number of boxes to be shaded to make it 80%
x = 80% of total number
= 80/100 of 25
= 80/4
= 20
So 20 need to be shaded to fill 80%
Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13
= 17 squares
What is $ 1.20 x 5 =? My brain is not working! LOL!
Answer:
6.25
Step-by-step explanation:
=1.20*5
=6.25
Answer:
6
Step-by-step explanation:
1.20 x 5 = 6
6/5 = 1.20