To find the volume of a rectangular prism, we can use the following formula:
[tex]V=lwh[/tex]
l = lengthw = widthh = heightConverting between mL and L1000 mL = 1 L
Solving the QuestionWe're given:
Fish tank measurements: 75 cm by 45 cm by 35 cmJug capacity = 1.75 LTo solve this question, we could follow these steps:
Find the volume of the tankDivide the volume of the tank by the jug capacityFind the volume of the tank
[tex]V=lwh[/tex]
⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]
Divide the volume of the tank by the capacity of the jug
There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:
1.75 × 1000
= 1750
118125 ÷ 1750
= 67.5
AnswerIt takes 68 full jugs of water to fill the tank.
What is the length of PR?
Answer:
c 6
Step-by-step explanation:
since angles are equal then the sides can be equal
(AB÷PQ)=(AC÷PR)
(20÷5)=(24÷X)
4=24÷X
X=6
Question 4 of 10
You have $10.00 and want to buy all of the items below. How much change
will you have left after you make your purchase? Do not include $ in your
answer.
COST
ITEM
Pancake Mix
Eggs
Syrup
$2.18
$2.28
$3.98
PLS HELP!’
Answer: 1.56
Step-by-step explanation:
Add all the cost together, the subtract the ten dollars.
2.18 + 2.28+ 3.98 = 8.44
10.00 - 8.44 = 1.56
Let T be the set of things found in a toy store, and V be the set of things that cost more than $50.
Select the words from the drop-down menus to correctly complete the sentences.
The set T∪V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T∩V is the set of things that
Choose...
.found in a toys store and cost more then 50$
found in a toys store or cost more then 50$
The set T′ is the set of things that
Choose...
cost under 50$
not found in toy store
not found in toy store and cose more then 50
Answer:
found in a toys store and cost more than 50$
Step-by-step explanation:
it makes the most sense don't you think?
The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two people know the secret on day 0, and 20 people know it on day 2, how long will it take for the whole school (4000 people) to know?
Answer:
between 222 and 223 days
Step-by-step explanation:
This relation includes the point (0, 2).
A proportional relation must include the point (0, 0).
This is not proportional, but it may be linear.
Points: (0, 2), (2, 20)
y = mx + b
20 = (20 - 2)/(2 - 0) × 2 + b
20 = 18/2 × 2 + b
b = 2
y = 18x + 2
When 4000 people know, y = 4000.
y = 18x + 2
4000 = 18x + 2
3998 = 18x
x = 3998/18
x = 222.111...
Answer: between 222 and 223 days
enrollment is a business seminar increased from 50 people to 62 people. what was the percent increase?
well, it went up from 50 to 62, so it really went up by 12 folks.
if we take 50 to be the 100%, what is 12 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50 & 100\\ 12& x \end{array} \implies \cfrac{50}{12}=\cfrac{100}{x}\implies \cfrac{25}{6}=\cfrac{100}{x} \\\\\\ 25x=600\implies x=\cfrac{600}{25}\implies x=24[/tex]
8. A 140-pound female has three mixed drinks one right after the other.
a. What is her BAC after consuming the three drinks?
BAC =
b. What is her BAC three hours after finishing the last drink?
The BAC of the female is an illustration of proportion
The BAC after consuming the three drinks is 0.029wThe BAC three hours after consuming the drinks is 0.087 wHow to calculate the BAC?BAC is calculated using:
BAC = Alcohol consumed/(Body Weight * R)
The weight is given as:
Body weight = 140 lb
Convert to kg
Body weight = 63.5 kg
For female
R = 0.55
So, we have:
BAC = Alcohol/(63.5 * 0.55)
BAC = Alcohol/34.925
BAC = 0.029Alcohol
The weight or volume of the alcohol consumed is given.
So, we represent it with w.
BAC = 0.029w
Hence, the BAC after consuming the three drinks is 0.029w
How to calculate the BAC after 3 hours?We have:
BAC1 = 0.029w
Time (t) = 3 hours
The BAC after 3 hours is
BAC = BAC1 * (t - 0.015)
So, we have:
BAC = 0.029w * (3 - 0.015)
Evaluate the product
BAC = 0.087w
Hence, the BAC three hours after consuming the drinks is 0.087 w
Read more about BAC at:
https://brainly.com/question/1781657
A figure is made up of a triangle and a rectangle. The triangle has a height of 8 inches and a base of 9 inches. The rectangle has dimensions of 7 inches×9 inches. What is the area of the figure?
Step-by-step explanation:
area of triangles
1/2*9*8= 36
area of.rectangle
8*9= 72
36+72=108 square inches
Pls help thanks to who ever does and please do NOT put links
Answer:
C
Step-by-step explanation:
Remark
The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.
Volume Original Shape
Each side of the figure is one side of a square.
So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)
The window is 2*2 which is 4.
The volume of the original shape is 36 - 4 = 32
Volume new shape
Each side of the figure is 12 by 12 = 144 With no window
The size of the window is 4 by 4 = 16 With the window (Subtract)
The size of the modified figure is 128
Answer and discussion
The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet. So you need Subtract to find the difference..
Answer: 128 - 32 = 96 which is C.
Will give BRAINLIEST!! Write a polynomial and show all the steps you would take to factor this polynomial completely. Please explain each step thoroughly.
I am not accepting links. Thank you:)
Step-by-step explanation:
Consider this polynomial,
[tex]8 {x}^{2} + 2x - 3[/tex]
First, I do the AC memethod. To find my two numbers,
That is to find two numbers that multiplied will equal my leading coeffeicent, A times my constant, C
And that will also add to 2, my middle term.
So using that
[tex]8 \times - 3 = - 24[/tex]
So let find factors of-24:
Factors can be positve or negative
The factors of 24 are : 1,2,3,4,6 8,12,24.
So which one of these add up to 2.
[tex]6 + ( - 4) = 2[/tex]
and
[tex]6 \times - 4 = - 24[/tex]
So six and negative four is our numbers.
Now, let set up our binomials
Step 1: Rewrite the orginal equation by using 6x and -4x instead of 2x.
Disclaimer: The placement of these numbers doesn't matter.
So we have
[tex]8 {x}^{2} + 6x - 4x - 3[/tex]
Step 2: Group the first two terms and last two terms
[tex](8 {x}^{2} + 6x) + ( - 4x - 3)[/tex]
Factors the first group by finding the GCF.
x is the greatest common variable, and 2 is the gcf so we have
[tex]2x(4x + 3) + ( - 4x - 3)[/tex]
Next, factor the next group by -1.
[tex]2x(4x + 3) - 1(4x + 3)[/tex]
Combine the outside factors.
[tex](2x - 1)(4x + 3)[/tex]
So those are the factors.
I want to know how to find EF and what the answer is.
[tex]\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}[/tex]
Step-by-step explanation:
5x+12=6x+7 (opposite sides of a parallelogram are equal) 12=x+7 (subtract 5x from both sides) x=5 (subtract 7 from both sides) Now put x in any of the equations-- 5(5)+12=37 or 6(5) +7=37Mr. Jones and Mr. Griebel each bought new shoes, Mr. Jones used a 20% off coupon and paid $82. Mr. Griebel used a $20 off coupon. How much Mr Griebel pay for his shoes?
Please help meee
Answer:
Assuming they bought the same shoes, $82.5
Step-by-step explanation:
80% of Original Shoe price = $82
Divide by 0.8 to find the original price.
82 / 0.8 = 102.5
102.5-20=82.5
Can someone please help me with this question?
Answer:
x< -6 or x > 0 (C is correct for question 1.) x ≤ 2 (C is correct for question 2)
Step-by-step explanation:
You have given me 2 questions:
| x + 3 | + 7 > 10
3x + 6 ≤ 12
Let's solve the first one:
| x + 3 | + 7 > 10
Before we start, the greater-than sign means that the point on the number line has to not be filled in.
| x + 3 | + 7 > 10
**Along with this equation you need to do a negative one meaning you need to flip the sign to a less than one and make 10 and 7 negative.
| x + 3 | - 7 < -10
| x + 3 | + 7 > 10
**Notice that this one is the original one.
Subtract 7 both sides
| x + 3 | > 10 -7
Now do 10-7
| x + 3 | > 3
Now subtract 3 both sides
x > 0
The negative case:
| x + 3 | - 7 < -10
Add 7 both sides
| x + 3 | < -10 + 7
Do -10 + 7
| x + 3 | < -3
Subtract 3 both sides
x < -3-3
Solve -3-3
x < -6
Your inequalities:
x< -6 or x > 0
The or statement is for greater than and the "and" is for less than.
Answer Choice C is correct.
Next Question:
3x + 6 ≤ 12
**Before we do anything, we have a less than or equal sign**
The point will be filled on the number line.
This is a typical inequality two-step:
3x + 6 ≤ 12
Subtract 6 from both sides
3x ≤ 12-6
Do 12-6
3x ≤ 6
Now divide 6 by 3
x ≤ 2
Answer Choice C is correct.
A map is placed on a coordinate grid. On the map, city 1 is located at the
point (35, 78), and city 2 is located at the point (47, 122). What are the
coordinates of a city located halfway between city 1 and city 2?
Answer:
its b trust me i had that one (12,44)
Step-by-step explanation:
What is the correct answer for this?
Volume:-
side³a³5³125cm³Form and solve an equation to find x
Perimeter = 42 cm
2x
- 3
Х
Х
2x – 3
-
what numbers between the number 7-15 make 33
help please, can you figure it out?
Answer:
4,333$
Step-by-step explanation:
There are 12 months in a year so we divide 52,000 by 12 and it equals 4,333 if you rounded it.
Simplify −4(x+1)+6x . Write your answer in factored form.
Answer:
2(x - 2)
Step-by-step explanation:
- 4(x + 1) + 6x ← distribute parenthesis by - 4
= - 4x - 4 + 6x ← collect like terms
= 2x - 4 ← factor out 2 from each term
= 2(x - 2)
=================================================
Let's simplify this expression.
The first step is to use the distributive property, which states:-
[tex]\bigstar{\boxed{a(b+c)}[/tex]
Simplify:-
[tex]\bigstar{\boxed{-4(x+1)}[/tex]
[tex]\longmapsto\sf{-4x-4}[/tex]
Add 6x:-
[tex]\longmapsto\sf{-4x+6x-4}[/tex]
Combine Like Terms:-
[tex]\longmapsto\sf{2x-4}[/tex]
Now, we should write our answer in factored form, so we factor 2 out:-
[tex]\longmapsto\sf{2(x-2)}[/tex]
=============================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
A rectangular-shaped badminton court has an area of 880 square feet. The width of the court is 20 feet. What is the length of the badminton court?
Answer:
length = 44 ft.
Step-by-step explanation:
A = lw
[tex]880 = 20l\\[/tex]
Solving for l gives us l = 44 ft.
A ratio of boys to girls in the classroom is 4 to 5 if there are 20 girls how many boys would there be
Answer:
16 to 20
Step-by-step explanation:
Let's do our math.
4 to 5
8 to 10
12 to 15
16 to 20
In order to get to 20, you'd have to multiply 5 by 4. So in order to get an equal ratio, you multiply 4 by 4 and get 16.
I hope this helps!
-No one
What is the value of In e^4
a 0
b 1
c 2
d 4
Answer:
[tex]4[/tex]
Step-by-step explanation:
[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]
this question is too hard
Answer:
There are 33 nuts in the bag, to 21 dried fruits.
Total number of dried fruits is 21, while the total number of nuts is 33.
Step-by-step explanation:
what is the answer for this also?
Answer:
64 cm^3
Step-by-step explanation:
V = lwh
V = 4 x 4 x 4
V = 64 cm^3
Hope this helps!
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{volume \: of \: square = {x}^{3} }[/tex]
[tex] \mathsf \pink{v = {4}^{3} }[/tex]
[tex] \mathsf \purple{v = {64cm}^{3} }[/tex]
Does anyone know the answer to these?
You are starting a savings account for college. You put $1,000 in as your starting balance. You earn simple interest at 10% every year. You also must pay 30% income tax on the interest earned annually. Calculate the balance for the account after 5 years
Answer:
$1,350
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $1,000r = 10% = 0.1t = 5 years⇒ Total interest earned = 1000 × 0.1 × 5 = $500
If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.
⇒ 70% of $500 = 0.7 × $500 = $350
Account balance = principal + interest earned after tax
= $1,000 + $350
= $1,350
What is the area of this figure?
Answer:
234 mm^2
Step-by-step explanation:
These questions are tricky but to make them easier, try to break down the shape into smaller regular shapes and work them out.
I would divide this shape into 2 rectangles and one triangle
Area of small bottom rectangle: 4 x 11 = 44mm^2
Area of rectangle in the middle: 14 x 8 = 112mm^2
Area of triangle: 12 x 13/2 = 78mm^2
Add all the areas together = 44+112+78 = 234mm^2
Rowan has 3 pieces of yarn, as described below. *a red piece of yarn that is 3/4 foot long *a yellow piece of yarn that is 6/8 foot long * a blue piece of yarn that is 4/12 foot long Wich number sentence correctly compares the lengths of 2 of these pieces of yarn. A 3/4 < 3/6 B 4/12 < 3/4 C 3/4 > 6/8 D 4/12 > 6/8
Answer:
b
Step-by-step explanation:
because all the orher ones are wrong and not correct.
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
Answer:
150ft^2
Step-by-step explanation:
FINDING THE LENGTHS
50 = x + 5 + x + x + 5 + x
50 = 4x + 10
50 - 10 = 4x
40 = 4x
40/4 = x
10ft = x
AMOUNT OF FLOORING
area = l x b
= (10 + 5) x 10
= 15 x 10
= 150ft^2
These triangles are similar. Solve for the scale factor.
Answer:
Scale factor = 3
Step-by-step explanation:
A - B = 1-3
3 - 1 = 2
A' - B' = 3-9
9 - 3 = 6
6 / 2 = 3
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. a 4-column table has 3 rows. the first column has entries third-row seats, no third-row seats, total. the second column is labeled 4-wheel drive with entries 18, 7, 25. the third column is labeled no 4-wheel drive with entries 12, 28, 40. the fourth column is labeled total with entries 30, 35, 65. what is the probability that a randomly selected car with no 4-wheel drive has third-row seats? 0.3 0.4 0.7 0.8
The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
For this case, the table given is:
Entries 4-wheel drive No 4-wheel drive Total
Third Row Seats 18 12 30
No Third Row Seats 7 28 35
Total 25 40 65
Let we take
A = event that a randomly selected car has no-4 wheel drive
B = event that a randomly selected car has third row seats
The total ways a car can be selected = 65 = n(S)
Total ways A can happen = n(A) = 40 (from the table).
Similarly, n(B) = 30
P(A) = n(A)/n(S) = 40/65
P(B) = n(B)/n(S) = 30/65
P(A∩B) = n(A∩B)/n(S) = 12/65
As by chain rule, we have:
P(A∩B) = P(A)P(B|A) = P(B)P(A|B)
We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)
which is symbolically P( B | A)
Thus, we use: P(A∩B) = P(A)P(B|A)
or
[tex]12/65 = (30/65)(P(B|A))\\\dfrac{12/65}{30/65} = P(B|A)\\\\P(B|A) = \dfrac{12}{30} = \dfrac{2}{5} = 0.4[/tex]
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
Learn more about probability here:
brainly.com/question/1210781
Answer:
b. 0.4
Step-by-step explanation:
took the test