Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
1
2
What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
-3
02
4
Answer:
x = 4
Step-by-step explanation:
2x − y = 11 ⇒ -y = - 2x +11 ⇒ y = 2x - 11
x + 3y = -5
x + 3(2x - 11) = -5
x + 6x - 33 = -5
+33 +33
7x = 28
÷7 ÷7
x = 4
The solution of x in the system of linear equations is x = 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2x - y = 11 be equation (1)
x + 3y = -5 be equation (2)
Multiply equation (1) by 3 , we get
6x - 3y = 33 be equation (3)
Adding equation (2) from equation , we get
7x = 28
Divide by 7 on both sides , we get
x = 4
Hence , the equation is solved and x = 4
To learn more about equations click :
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1) 4(p + 8) = 8p – 8(p – 6)
Answer:
4(p + 8) = 8p – 8(p – 6)
4p+32=8p-8p+48
4p=16
p=4
Answer: P=20
Step-by-step explanation:
Hope this helps ;)
A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?
Which equation represents the scenario?
How many people went to the movies?
Answer:There would be 3 people at the movies.
Step-by-step explanation:
A store is selling T-shirts. Which is the best deal?
8 for $26
5 for $30
4 for $15
12 for $39
10 for $45
divide cost by quantity. The lowest rate is the best buy:
26/8 = 3.25 each
30/5 = 6.00 each
15/4 = 3.75 each
39/12 = 3.25 each
45/10 = 4.50 each
The 8 for 26 and the 12 for 39 are both the same price each and are the better buys.
Which of the following is a solution to this inquality
Answer:
(0,-2)
Step-by-step explanation:
Determine whether the given value of the variable is a solution to the inequality 3b + 2 < 14 when b = 4
Answer:
I dont think it that would be the solution because 14 has to be greater and not equal.
Step-by-step explanation:
3(b) + 2 < 14
3(4) + 2 < 14
12 + 2 < 14
14 < 14
Solve for b.
-t = 9(t - 10)
(WILL GIVE BRAINLIEST)
Answer:
Do you mean solve for t?
If you do, the answer is 9.
Step-by-step explanation:
If we expand the equation out, we get:
-t = 9t - 90
If we move the -90 over to the left side and the -t to the right side, we get:
90 = 10t
Dividing both sides by 9, we get:
t = 9
A. The rate of change of function A is -2 The rate of B is 8
B. The rate of hangs function A is 1 The rate of change of function B is 8
C. The rate of change of function A is -2 The rate of change of function B is 4
D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4
PLEASE HELP ASAP! FOR BRAINLIEST
Selecting an SUV with a blue exterior?
1/12 is the answer there wasnt much specified but thats what i came up with and btw if your just asking a question i honesty dont think blue looks good on a suv :)
Answer:
yes
Step-by-step explanation:
Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,
Answer:
X = 65.
Step-by-step explanation:
The range is the greatest number - least, so we have:
X - 12 = 53
X = 53 + 12 = 65.
Answer:
I think x=65
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?
Answer:
y = -⁴/₅x + 14Step-by-step explanation:
Changing to slope-intercept form:
-10x + 8y = 3 {add 10x to both sides}
8y = 10x + 3 {divide both sides by 8}
y = ⁵/₄x + ³/₈
Two lines are perpendicular if the product of their slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
y = ⁵/₄x + ³/₈ ⇒ m₁=⁵/₄
⁵/₄×m₂ = -1 ⇒ m₂ = -⁴/₅
The line y=-⁴/₅x+b passes through point (15, 2) so the equation:
2 = -⁴/₅×15 + b must be true
2 = -12 + b
b = 14
Therefore equation in slope-intercept form:
y = -⁴/₅x + 14
Please someone help me
Answer:
a) the height ...................Im not sure though .....................................
Step-by-step explanation:
.............................................
Guys I need help will mark brainliest
Answer:
mean= sum of the terms/ (over) number of terms
HELP WILL MARK BRANNIEST!
Answer:
up all the way right all the way down allthe way
Step-by-step explanation:
A bread recipe calls for 1/4 tsp of salt. How much salt is needed to make 6 loaves of bread?
Answer:
1 1/2 tsp
Step-by-step explanation:
Multiple Choice
Which of the following represents a unit rate?
A. four dollars over twelve books
B. five pages over two minutes
C. eighty beats over one minute
D. seventy two inches over two yards
Answer:
c
Step-by-step explanation:
unit rate is a rate with one in the denominator
Neeeeeeeeeeed helppppppppp plssssssss
of the following functions represent
exponential growth?
f(x) = 001(1.77)*
f(x) = 2(1.5)
f(x) = 5(0.5)*
f) = 5e+
DONE
PLEASE HURRY 100 POINTS
Answer:
a,b,c
Step-by-step explanation:
edg
Answer:
A. f(x) = .001(1.77)x
B. f(x) = 2(1.5)^x/2
C. f(x) = 5(0.5)^-x
Step-by-step explanation:
Correct on Edge 2022
how many degrees is the measurement of angle 1? show you work GVING BRAINLY
Answer:
m<1 = 79°
Step-by-step explanation:
12x + 19 + 22x - 9 = 180
add the numbers
34x + 10 =180
minus 10
34x = 170
divide by 34
x = 5
plug 5 into the equation of angle 1
12(5) + 19 =
79
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
Answer:
Approximately 45%.
Step-by-step explanation:
We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.
So, as a fraction of the total won over the total games, we can write:
[tex]\displaystyle\frac{15}{33}[/tex]
So, by dividing, the percent the team won is:
[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]
The team won approximately 45% of its games.
Equivalent expression for m-(8-3m)
Answer:
4m-8
Step-by-step explanation:
answer
Answer:
4m - 8
Step-by-step explanation:
Given expression,
→ m - (8 - 3m)
Simplifying the expression,
→ m - (8 - 3m)
→ m - 8 + 3m
→ 4m - 8
→ 4(m - 2)
Hence, answer is 4m - 8.
You are a big baseball fan. You have a goal of attending a baseball game in every major league stadium in the country. Every time you go to a different stadium, you buy a baseball hat. You keep your hats in a display case that holds 25 hats. You have 8 baseball hats so far. What are the possible numbers of hats you can collect without needing another display case?
Answer:
17
Step-by-step explanation:
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
please help
Answer:
x≤2 or x≥-6
Step-by-step explanation:
Isolate the variables on both equations
3x-4≤2
3x≤6
x≤2
2x+11≥-1
2x≥-12
x≥-6
What’s the solution for 6x =36
Answer:
in this equation x would equal 6. because 6*6=36
Find the length of side a.
A. 2
B. 3
C. 34
D. 9
8+4x≥12
x≤5
x≥1
x≤1
x≥5
Solve for n.
(33)^2 = n^6
Answer is
n=3.207534,−3.207534
Step-by-step explanation: looked it up lol.
Answer:
Rewrite the equation as
n6 =
33
2
.
n
6
=
33
2
Take the 6th root of both sides of the equation to eliminate the exponent on the left side.
n
=
±
6
√
33
2
Simplify the right side of the equation.
Tap for more steps...
n
=
±
3
√
33
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
n = 3√33,−3√33
The result can be shown in multiple forms.
Exact Form:
n = 3√33,−3√33
Decimal Form:
n = 3.20753432,−3.20753432
Step-by-step explanation:
what is the equation of the line that passes through the point (-2,-2) and has a slope of 4
Answer:
y=4x+6
Step-by-step explanation:
M/6 = -9
answer m=?
Answer the ? Mark pls
Answer:
[tex]\frac{m}{6}[/tex] = -9 6 × (-9) = -54
Step-by-step explanation: