Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]
Volume of given rectangular prism = [tex]12 in^3[/tex]
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]
[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
3 inches
Step-by-step explanation:
Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?
Answer:
The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7
Step-by-step explanation:
The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where, 6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰
We have;
The last two digits of the powers of 6 are;
6¹ = 6, last two digits = 06
6² = 36, last two digits = 36
6³ = 216, last two digits = 16
6⁴ = 1,296, last two digits = 96
6⁵ = 7,776, last two digits = 76
6⁶ = 46,456, last two digits = 56
6⁷ = 279,936, last two digits = 36
6⁸ = 1,679,616, last two digits = 16
6⁹ = 10,077,696, last two digits = 96
6¹⁰ = 60,466,176, last two digits = 76
6¹¹ = 362,767,056, last two digits = 56
Therefore, the last two digits repeat itself every 5 times
For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76
The last two digits of the powers of 7 are;
7¹ = 7, last two digits = 07
7² = 49, last two digits = 49
7³ = 343, last two digits = 43
7⁴ = 2,401, last two digits = 01
7⁵ = 16,807, last two digits = 07
7⁶ = 117,649, last two digits = 49
7⁷ = 823,543, last two digits = 43
7⁸ = 5,764,801, last two digits = 01
Therefore, the last two digits repeat itself every 4 times
For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01
Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
Is 1.6 or 1.25 bigger
Can somebody answer this
Please help me ASAP! I’m stupid so I don’t know what to do
Answer:
Step-by-step explanation:90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Answer:
∠5
Step-by-step explanation:
So basically it's what it sounds like. They alternate inside. If it was alternate exterior it would means that they would alternate on the outside. Kinda hard to explain, but easy once you understand it.
I need help solving and checking the answer before my test tomorrow. ♀️im gonna fail so if you know anything please solve it and show how to check the answer
Step-by-step explanation:
-3+5=-10
−3x+5−5=−10−5
−3x=−15
−3x÷−3=−15÷-3
x=5
(-2 4/5)(1 4/5)
=-14/5×19/5
=-14×9/5×5
=-126/25
=-5 1/25
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
Question 3 Solving:
your equation is -3x + 5 = -10
subtract 5 from both sides to get the term with x alone: -3x = -15
divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5
To check:
plug in 5 to x and see if you get -10 on both sides
-3(5) + 5 = -10
first multiply -3 and 5:
-15 + 5 = -10
then add 5 to -15:
-10 = -10
if the number are equal then you solved the equation correctly
Question 4:
multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)
so multiply 2 and 5 to get 10, then add 4 to get 14
your new fraction is -14/5
practice doing the same thing to the other mixed fraction
you should get a new fraction of 9/5
multiply the numerators and denominators
so multiply -14 and 9, and multiply 5 and 5
you now have -126/25
divide 126 by 25 to get your whole number of the mixed fraction
you should have -5 ?/25
to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction
126-125 = 1
now you have an answer of -5 1/25
Based on what you see here, what is the domain of this function?*
Your answer
This is a required question
Answer:
Domain seems to be all real numbers.
Step-by-step explanation:
The diagram shows a triangle.
108°
42°
15c
What is the value of c?
2x+7=19 solving two-step equations
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify
Answer:
6
Step-by-step explanation:
First what you do is you subtract 7 from both sides to get 2x by itself.
2x + 7 - 7 = 19 - 7
2x = 12
Then you divide 2 from both sides to get x by itself.
2x/2 = 12/2
x = 6
Your answer is then x = 6.
Help!!!!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
[tex]m=\frac{-1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -4)
Point (-8, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+4}{-8-0}[/tex]Add/Subtract: [tex]m=\frac{4}{-8}[/tex]Simplify: [tex]m=\frac{-1}{2}[/tex]A passenger train travels 528 miles in 8 hours
Answer:
66 miles per hour
Step-by-step explanation:
528/8 = 66 miles per hour
Answer:
66 miles/hour.
Step-by-step explanation:
Its average speed is 528/8
= 66 miles/hour.
18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]
__________________21-
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]
_________________22-
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]
_________________23-
[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]
Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases
Answer:
pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw
apply appropriate methods in solving rationalequations and inequalities.
What is the answer to this math problem; -2.4x+3.8x-x
Answer:
0.4x
Step-by-step explanation:
Answer: =0.4x
Step-by-step explanation: hope this help
Let's simplify step-by-step.
−2.4x+3.8x−x
=−2.4x+3.8x+−x
Combine Like Terms:
=−2.4x+3.8x+−x
=(−2.4x+3.8x+−x)
=0.4x
Yoo how yall doinnnnn
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
Im great... how bout you?
Step-by-step explanation:
5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?
Answer:
25 times
Step-by-step explanation:
If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish
The proportion is therefore 5/12
In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.
Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years
To check if we are correct, we check the proportion to see if it still evaluates to 5/12
25/60= 5/12 when reduced to lowest terms
please help and thanks
Every term is
a constant
a variable
an expression
There are 12 pieces of candy in Miguel's Halloween bag. 3 are Reese's, 4 are M&M's, 3 are lollipops and 2 are sour gummy worms. What is the ratio of Reese's to the total number of pieces of candy in the bag and is this a part to part, part to whole or whole to part relationship?
Pick the correct answer
1. 3:12 part to part
2. 12:3 part to part
3. 3:12, part to whole
4. 12:3 part to whole
don’t use this question for points plz!
Answer:
3. 3:12 part to whole
Step-by-step explanation:
because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.
find 426 plus 315. write the missing numbers on the open number line below
Answer:
426+315=741
Step-by-step explanation:
Answer:
426+315 = 741
Step-by-step explanation:
i need help. it’s due tonight.thank you
Answer:28
Step-by-step explanation:
Hi everyone,Can someone please explain me these I am confused I really need help if you can help please help me.
Answer:
36
Step-by-step explanation:
Just add the students with doing this: number of studentsxsiblings
Answer:
For number one count all dots and for two start counting from 4 siblings
Step-by-step explanation:
a pool of linen container 100 meters. three butete brought 15.75 meters, 22.50 meters and 12.25 meters respectively. how many meters of line was left after the sale
49 m
Answer:
49.5 meters of linen were left after the sale.
Step-by-step explanation:
Given that there are 100 meters of linen
And 15.75, 22.50 and 12.25 meters are sold.
This means that the sold linen has to be added to find the total linen sold.
And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.
[tex]Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters[/tex]
Left linen will be:
[tex]=100-50.5 = 49.5[/tex]
Hence,
49.5 meters of linen were left after the sale.
Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?
Which value of b results in infinitely many solutions for the system?
9x+6y=b
3x+2y=1
6
1
5
3
Answer: 3
Step-by-step explanation:
I just finished the test and this was the answer I put and it was right.
9x+6y=b
6y=b-9x
y=b/6 -9/6x
y=b/6-3x/2
y= -3x/2 +b/6
3x + 2y = 1
2y = 1 - 3x
y = 1/2 -3/2x
y = -3/2x + 1/2
b/6=1/2
b=3
Answer:
Step-by-step explanation:
An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.
2 x ² + 16x+63 2x² +19x+a
Answer:
\557
Step-by-step explanation:
can i get some help on this i am confused!!!
Answer:
st=pq su=rp and for the other ones angle q is 75 degrees so just add 59 and 75 then subtract it from 180 because that's how many degrees is in a triangle and angle s is 59
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Both triangles are congruent, Hence Angles of both triangle will be equal,
We have got two angles,
LP = 59°, LT = 75°
let the third angle be x
The sum of all angles of a triangle is 180°
So,
59° + 75° + x = 180
x = 46°
a) ST = 8m
b) SU = 7m
c) mLR = 75°
d) mLQ = 46°
e) mLS = 59°
PRESSSSSSSSSSS CTRL W
:D
Answer:lol
Step-by-step explanation: