The value of x and the dimensions of the rectangular prism are as follows;
x = 7.5 m
length = 8 m
width = 5.5m
height = 12.5 m
volume of a rectangular prism = lwh
volume = 550 m³
l = 8
w = x - 2
h = x + 5
Therefore,
v = lwh
550 = (x + 5)(x - 2)8
550 = (x² - 2x + 5x - 10)8
550 = (x² + 3x - 10)8
550 = 8x² + 24x - 80
8x² + 24x - 80 - 550 = 0
8x² + 24x - 630 = 0
4x² + 12x - 315 = 0
using quadratic formula,
where
a = 4
b = 12
c = -315
-b ± √b² - 4ac / 2a
Therefore,
x = -10.5 or 7.5
x cannot be negative .
so, x = 7.5
x = 7.5 m
length = 8 m
width = 7.5 - 2 = 5.5 m
height = 7.5 + 5 = 12.5 m
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An electronics store had a special sale on two different models of calculators. The more high-tech model sold for $33.02 and
the older model sold for $18.55. All together, 28 calculators were sold. Total sales came out to $736.45. Which system of
equations can be used to determine how many high-tech models were sold, x, and how many older models were sold, y?
Answer:
$736.45/$33.02 = 22.30 high tech
x($33.02) = $736.45
$736.45/$18.55 = 39.70 older models
y($18.55) = $736.45
Molly drew a map of her town. She graphed the point L(−1.75, −3) for the library. The ice cream shop is located at L′, a reflection of L across the x-axis. The fire station is located at L′′, a reflection of L′ across the y-axis. Identify the ordered pair that describes the location of the fire station. Express your answer using decimal notation.
(__,__)
Answer:
(1.75, 3)
Step-by-step explanation:
Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).
This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and the x coordinate changes sign, going to it's final destination (1,75, 3)
help me with math!!!!
Answer:
5+4 < 10+2
Step-by-step explanation:
5+4=9
10+2=12
90,891 rounded to the thousands place
Answer:
Well thousands place is in this case 0 here in the 90,891
Now we look at the digit to the right which is suppose to be 5 or above in order to round up or 4 or below to stay the same.
91,000 is the answer
help help help help help
Answer:
2
Step-by-step explanation:
I need help asap look at last question
Answer:what’s the question
Step-by-step explanation:
Answer:
i answer your question correctly, please mark it as brainliest and thank you.
Erin finds 5% sales tax for a shirt that costs $21. She calculates the tax as
0.05 * 21 = 1.05 or $1.05.
Erin notices that she can add 21 + 1.05 = 22.05 to find the total cost, $22.05.
She uses the Distributive Property to write (1 * 21) + (0.05 * 21) = 1.05 * 21.
For each item, write the total cost of
the item as the product of two
numbers.
Tax
1.05 x 21
a.
b.
c.
d.
Item Name Price Tax Rate
shirt
$21.00 5%
bicycle $45.90 7%
shoes
$67.50 6%
laptop $299.99 8%
$39.95 4%
Credit Debit Subtotal
Check Cash
Tax
Order total
Print Receipt Cash
video game
$474.34
Answer:
Step-by-step explanation:
a. Bicycle (1.07 x 45.90)
b. Shoes (1.06 x 67.50)
c. Laptop (1.08 x 299.99)
d. Video Game (1.04 x 39.95)
integer operations
11. -60
12. 10
13. -9
14. 14
15. 37
Answer:
[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]
Can I get some help on this I have so many assignments to do and I just want to go to sleep
when 1760 is divided into 14 equal parts, the remainder is 10. what is the correct way to write the quotient?
Answer:
125 R10
Step-by-step explanation:
You have to do (1760-10)/14=125
Kent has paid a total of $589 For internet service. Each month of service cost $19. How many months, m, of internet service has Ken't paid for? Use the model.
Giving brainliest
Answer:
589/19=31 dollars a month
Step-by-step explanation:
Hope this helps!
You can wash a car 1.5 times as fast as your friend. Working together, the two of you can wash 1 car in 6 minutes. How long does it take each of you to wash the car when working alone? Leave your answer as a fraction!
If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]
Substitute x = 1.5y into the equation above
[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
Learn more here: https://brainly.com/question/25547756
The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.57. What is the probability that it will rain on at least four of the
seven days they are there? Round your answer to the nearest thousandth.
Answer:
0.650
Step-by-step explanation:
The probability of rain on 4 or more days is the sum of the probabilities of rain on 4, 5, 6, and 7 of the days.
The probability of rain on 4 days is ...
7C4×(0.57)^4×(1 -0.57)^(7-4) ≈ 0.29375
On 5 days, it is ...
7C5×(0.57^5)(0.43^2) ≈ 0.23363
On 6 days, it is ...
7C6×(0.57^6)(0.43^1) ≈ 0.10323
And on all 7 days, it is ...
0.57^7 ≈ 0.01955
The sum of these probabilities is ...
P(≥4) = 0.29375 +0.23363 +0.10323 +0.01955 = 0.65016
The probability of rain on 4 or more days is about 0.650.
Which of the following is a perfect square trinomial?
A. x²-6x+9
B. 4x²-20x-25
C. 4x²+20xy+9y2
D. 9a²-6a²bc+a²b²c²
Help me please!! This is timed and I’m stuck
Let's solve
[tex]\\ \sf\longmapsto 2x^2+7x-15=0[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{7^2-4(2)(-15)}}{2(2)}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{169}}{4}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-7\pm13}{4}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-7+13}{4}\:or \:\dfrac{-7-13}{4}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{6}{4}\:or\:\dfrac{-20}{4}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{3}{2}\:or -5[/tex]
Subtract
[tex]\\ \sf\longmapsto 3/2-(-5)=3/2+5=13/2[/tex]
Option B
Answer:
Option (B.)
Step-by-step explanation:
Answer in the picture.hu
1 2 3 4 01 6 7 8 00 9 A laptop has a listed price of $590.99 before tax. If the sales tax rate is 6.25%, find the total cost of the laptop with sales tax included Round your answer to the nearest cent, as necessary.
Answer: $627.93
Step-by-step explanation:
If tax is 6.25%
6.25% of $590.99= $36.94
Price + tax = total cost
Total cost = $590.99 + $36.94 = $627.93
help? plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
you're right, d measures 180 degrees
Step-by-step explanation:
the protractor is measuring a straight line and straight lines measure 180 degrees
hope this helps
Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?
Answer:
10 hours
Step-by-step explanation:
let x be the total number of hours
Amazing design total charge = 45x+250
super structures total charge = 60x+100
both companies charge the same amount when both equation equals
45x+250=60x+100
60x-45x=250-100
15x=150
x=10
therefore at 10 hours both companies will charge the same amount
You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
Answer:
You tutor for 4 hours
Step-by-step explanation:
If you count all the boxes, there are 6
12/6 is 2
You have 2 boxes so you do 2*2 which is 4
THE ANSWER IS 4
Answer:
24
Step-by-step explanation:
i added the time frame of you both tutoring ig.
What is the product of (3^5) (2^5) (3^4)
what fraction is this shape is shaded
16.093 x 10 to the third power
HELP ME PLEASE GOD
Answer:
16093
Step-by-step explanation:
I hope this helps!
Answer:
Your answer is 6,960,212.797357.
End of Answer
Step-by-step explanation:
(19.093 * 10)^3 OR
19.093 * 10 = 190.93
190.93^3 = 6,960,212.797357
End of Step-by-step explanation
Edit: I'm probably wrong this is the actual answer: 16093
find the mode of the following set data
3, 10, 36, 26, 19, 2, 2, 40
Answer:
2
Step-by-step explanation:
it is the only number that occurs more than once
IM TIMED PLEASE HELP ILL GIVE U BRAINLIEST D:
what is 8.52 divided by 12
show your work in partial quotient
Answer:
look at the photo...............Complete the missing factors
6a^2 + 11b - 35b^2 = ( 3a _______)(2a______)
please help me, thank you.
Functions or Not a Function? Explain?
Answer:
not a function
Step-by-step explanation:
the last box (3-5) does not follow the rule +5
What is a Jump Discontinuity?
brainliest is on the line and up for grabs
Answer:
Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't equal. Asymptotic/infinite discontinuity is when the two-sided limit doesn't exist because it's unbounded. Image result for What is a Jump Discontinuity?Jump Discontinuity is a classification of discontinuities in which the function jumps, or steps, from one point to another along the curve of the function, often splitting the curve into two separate sections. While continuous functions are often used within mathematics, not al functions are continuousStep-by-step explanation:
hope this helps
can i have brainliest please
please help soon i need to get this pre-test. done
Answer:
65.5 in
Step-by-step explanation:
Ok, the two triangles are similar, since they're both right triangles, the angle in C are congruent, and the third has to be by difference. It means that the distance DC is proportional to 44 inches, on the proportion[tex]x:44 = 11.5:23.5 \rightarrow x= 44\frac{11.5}{23.5} = 21,5 in[/tex] To this we need to add the 44 inches traveled in the first part, to get a total of 65.5 in
Answer:
A.
Step-by-step explanation:
The triangles are similar, so we can estimate that the ratio between them is 1:2 (23.5/11.5~~2). Now we have that 44/2 is 22 and 44+22 is 66. The closest answer to 66 is 65.5, which is A.
6. Three bunches of flowers can be bought for $9.48. Four bunches can be bought for $10.64. Which is the better buy?
Find the X- and Y-intercepts of the given equation: 3x + 5y = 15
Answer:
Using the slope-intercept form, the y-intercept is 3 Since the equation '3x + 5y = 15' is transformed to slope-intercept form 'y = (-3/5)x + 3' the slope is (-3/5).