Answer:
8
Step-by-step explanation:
Height, h = 17
Let :
Width = x
Length = 2x + 4
Volume = 2720 in³
Volume of rectangular prism = Length * width * height
2720 = 17 * x * (2x + 4)
2720 = 34x² + 68x
34x² + 68x - 2720 = 0
x² + 2x - 80 = 0
x² + 10x - 8x - 80 = 0
x(x + 10) - 8(x + 10)
(x + 10) = 0 or (x - 8) = 0
X = - 10 or x = 8
Width can't be negative
Hence, width, x = 8
Help
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.
Answer:
The mistake McGill made was to eliminate 4 and 16 from both sides before solving fro x
Step-by-step explanation:
Given the expression
42x = 163
To get the values of x, we are to divide both sides by the coefficient of x i.e 42 as shown;
42x = 163
42x/42 = 163/42
x = 163/42
x = 3.88
Hence the mistake McGill made was to eliminate 4 and 16 from both sides before solving fro x
I really need someone’s help I don’t remember how to do this
Answer:
3
Step-by-step explanation:
cubed root means _x_x_= the number
so in this case it would be _x_x_=27
and what times what times what equals 27?
3x3x3=27
Find the volume of a cone that has a radius of 14ft and a height of 18.9ft
Answer:
[tex]v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272[/tex]
Consider the system of equations.
3x − y = 5,
2x + 3y = −15
Which value can the first equation be multiplied by to form opposite values on the y-term? A=-3 B= -2 C=2 D=3
The solution to the system of equations is .A= (-5,0) B= (5,0) C= (0,-5) D=(0,5)
Answer:
D and C
Step-by-step explanation:
Given the 2 equations
3x - y = 5 → (1)
2x + 3y = - 15 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
9x - 3y = 15 → (3)
Add (2) and (3) term by term to eliminate y
11x + 0 = 0
11x = 0 ⇒ x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (2)
2(0) + 3y = - 15
0 + 3y = - 15
3y = - 15 ( divide both sides by 3 )
y = - 5
solution is (0, - 5 )
Answer:
d and c my guy
Step-by-step explanation:
just did it
evaluate show the solution of 14C6 and 15C4
Answer:
Evaluate each expression for a = 4, b = 2, and c = 5.
c − a
Beth is making fruit saladShe adds 5 grapes for every strawberriesshe uses 12 strawberries, how many grapes will use? Please help me!!
Answer:
She will use 60.
Step-by-step explanation:
12 x 5 = 60
Hope this helps ⭐
Answer:
Hello! Answer: 60
Step-by-step explanation:
If she is using 5 grapes per strawberries then we would do 12 x 5 = 60 and 60 is our answer.
Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000. Based solely on this information, what should you do?
1. Use the given key to answer the questions.
0.1
tenth
0.01
hundredth
0.001
thousandth
0.0001
ten-thousandth
a.
What number does this diagram represent?
b. Draw a diagram that represents 0.216.
c. Draw a diagram that represents 0.304.
Answer:
please where is the diagram
A Choir director made a histogram showing his ages of the members in choir which statement about the data in the histogram must be true
Answer:
C) The choir has a total of 100 members
Step-by-step explanation:
Histogram is the graphical representation of data with the use of bars of different heights.
From the histogram attached:
A) Number of people fro 46 to 73 years = 30 + 5 + 15 = 50
Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100
Therefore half of the people are from 46 to 73 years.
Therefore the statement that more than half of the people are from 46 to 73 years is wrong.
B) The histogram shows the number of members between each age range, it does not show the number of male and female members. Hence we cannot determine the number of male and female members.
C) Total Number of people = 15 + 20 + 5 + 10 + 30 + 5 + 15 = 100
The choir has a total of 100 members
D) Number of people less than 32 years = 15 + 20 = 35
Therefore the statement that exactly 20 members are less than 32 years is wrong
The graph shows a line and two similar triangles which expression finds the equation of the line?
Answer:c
Step-by-step explanation:
Answer:
hello, sorry i'm late, your answer would be: option b, y/x = 2/3
Step-by-step explanation:
proof:
Need help ASAP PLEASE !!!
Answer:
B.(-6,-1)
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE
Answer:
x = 4, y = -3
Step-by-step explanation:
Find the slope intercept form first (y = mx + b):
the one going down is y = -1/2x - 1 (slope is negative, down 1 over 2, and the y-intercept is at (0, -1) )
the one going up is y = 1/4x - 4 (slope is up 1 over 4, and the y-intercept is at (0, -4)
Convert them into standard form (Ax + By = C):
1st equation: multiply the entirety of both sides by 2 to get rid of the fraction:
2y = -1x -`2
add 1x to both sides: 1x + 2y = -2
2nd equation: multiply the entirety of both sides by 4 to get rid of the fraction:
4y = 1x - 16
subtract 1x from both sides: -1x + 4y = -16
Isolate a variable:
-x + 4y = -16
-x = -4y - 16
x = 4y + 16
Plug that into other equation:
1(4y + 16) + 2y = -2
6y + 16 = -2
6y = -18
y = -3
Substitute y into the isolated equation:
x = 4(-3) + 16
x = -12 + 16
x = 4
d. You can multiply cand 8
by in 1(c + 8) to find
an equivalent expression. True
False
Answer:
i don't think you can (but i could be wrong)
Step-by-step explanation:
my thinking is that since there is still an unknown variable even after you've multiplied that there can't be an equivalent expression
1(c+8)*8
=?
good luck :)
i hope this helps
**please let me know if this was incorrect**
have a nice day!
13. Connie wants to paint one wall in her living room. Along the wall, she
counted 60 pieces of hardwood that are each 6 cm wide. The wall is 8 feet
tall. Estimate the area of the wall she plans to paint. Round to the nearest
square foot. (1 foot approximately 30 cm)
Answer: Approximately 96 square feet
======================================================
Work Shown:
1 ft = 30 cm
1 ft = (5*6) cm
1 ft = 5*(6 cm)
1 ft = 5*(1 board width)
1 ft = 5 board widths
12*(1 ft) = 12*(5 board widths)
12 ft = 60 board widths
12 ft = 1 full wall length
The wall is 12 feet horizontally across and 8 feet tall, so its estimated area is 12*8 = 96 square feet approximately. This is approximate because of the fact we used the approximation of 1 ft = 30 cm.
Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's collection?
A- 12
B- 14
C- 120
D- 140
Answer:
672
Step-by-step explanation:
7×95=665
665+7=672
help plsss-
it’s not letting me post omh :/
Answer:
20 fl ounce = 1 pt and 4 fl oz
Step-by-step explanation:
We want to convert fluid ounce to pint and fluid ounce
Mathematically;
Mathematically, 1 pint = 16 fluid ounce
Now we can write 20 fluid ounce as;
16 fl ounce + 4 fl ounce
Since 16 fl ounce is a pint, we have it that;
20 fluid ounce is 1 pt 4 fl oz
13. The coefficient in 8p + 897 is?
A. 8
B. p
C. =
D. 897
Answer:
the correct answer is A. 8
A box has a surface area of 450 cm². Its length and width are 6 and 8 respectively. What is its height?
Answer:
9.4 cm
Step-by-step explanation:
Given: Box; Length = 6 cm, Width = 8 cm, Surface area = 450 cm²
To Find: Height
Solution:
Divide the volume by the product of the length and width to calculate the height of a rectangular object.
6 × 8 = 48
450 ÷ 48 = 9.4
For this box, the rectangular object has a length of 6 cm, a width of 8 cm, and a volume of 450 cm². The product of 6 and 8 is 48, and 450 divided by 48 results in 9.4.
The height of the object is 9.4cm.
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MODE of the temperatures.
Answer: 78
Step-by-step explanation:
The mode is the number that appears the most number of times. In this case the number 78 appears twice unlike the other numbers that only appear once. Hence, 78 is the mode :)
Answer:
78
Step-by-step explanation:
The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
What value of z makes this equation true?
Z+32=73+25
A.
66
B.
67
C.
80
D.
79
Answer:
a
Step-by-step explanation:
73+25=98
66+32=98
It costs $3.95 to print a 12 in. by 16 in. color page. A friend needs to print a poster that is twice as long and twice as wide. At this rate, how much would he expect
to pay for the poster?
Answer:
$7.90
Step-by-step explanation:
Its is double both so u double $3.95
can someone help me with this please^
Answer:
a) 126degrees
b) 47degrees
Step-by-step explanation:
The sum of two supplementary angles is 180 degrees.
Let the other angle be x
x + 54 = 180
x = 180 - 54
x = 126degrees
The supplement is 126degrees
b) The sum of two complementary angles is 90 degrees.
Let the other angle be y
y + 43 = 90
y = 90 - 43
y = 47degrees
Hence the complement is 47 degrees
Can the probability of an event be greater than 1
Consider the ready-made tent with flooring included that is shown in de diagram below.
What is the least amount of fabric needed to make the four-foot high tent?
Answer:
136 ft²Step-by-step explanation:
Total surface area is the amount of fabric:
S = 2(1/2*6*4) + 2(7*5) + (7*6) = 136 ft²y=2x+3 y=4x+7 solve by elimination
Answer:
[tex]\displaystyle [-2, -1][/tex]
Step-by-step explanation:
To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :
[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]
I am joyous to assist you at any time.
answer the question for 10 points and brainilest
Answer:
The one at the bottom left. C
Step-by-step explanation:
How do I solve this arithmetic sequence?
Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist
15 points!
Solve n = 2xy-1/zy for x
please dont guess<3!!!
Answer:
I'm sorry I wont guess, I dont know
The right rectangular prism below is made up of 8 cubes. Each cube has an edge length of 12 inch.
Answer:
1 in³
Step-by-step explanation:
Complete question
The right rectangular prism below is made up of 8 cubes each cube has an edge length of 1/2 inch what is the volume of this prism
Volume of a cube = l³
If each cube has an edge length of 1/2 inch, then:
Volume of each cube = 1/2³
Volume of each cube = 1/8
Volume of the prism = 8×1/8
Volume of the prism = 1 in³