Answer: The three numbers are 10, 11, and 12.
10+11+12 = 33
=========================================================
Work Shown:
x = smallest numberx+1 = middle numberx+2 = largest numberEach is a positive whole number
Add them up and set the result equal to 33. Solve for x.
(x) + (x+1) + (x+2) = 33
3x+3 = 33
3x+3-3 = 33-3 .... subtract 3 from both sides
3x = 30
3x/3 = 30/3 ..... divide both sides by 3
x = 10
x+1 = 10+1 = 11
x+2 = 10+2 = 12
Note how 10+11+12 = 33 to help confirm our answer.
Solve: 1+^3√5x=3
1. Isolate the radical. ^3√5x=2
2. Raise each side of the equation to the same power
as the index of the radical to eliminate the radical.
(3√5x)^3 = (2)^3
Answer: it’s D
Step-by-step explanation:
Answer:
x= 8/5 or D
Step-by-step explanation:
edg 2021
A right cubic prism has edges of 2 1/2 inches. How
many cubes with side lengths of inches would
be needed to fill the prism?
A. 125 cubes
B. 37.5 cubes
C. 18.75 cubes
D. 15.625 cubes
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Which model below represents a fraction that is equivalent to
4
8
Answer:
4/8 is one half
Step-by-step explanation:
You deposit $400 in an account. The account earns $18 simple interest in 9 months.What is the annual interest rate?
Use the formula,
I = Prt
P = Principal amount = 400
I = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4
so,
18 = 400*r*3/4
r = 0.06
so the annual interest rate is 0.06 or 6%
This partial circle has a radius of 11 inches.
What is the area of this figure?
Use 3.14 Pi.
A circle with a quadrant missing. The length of one side of the quadrant is 11 inches.
Answer:
284.96
Step-by-step explanation:
What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?
12
15
17
18
Question 2 (Fill-In-The-Blank Worth 1 points)
(06.04 LC)
If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)
Answer for Blank 1:
Question 3(Multiple Choice Worth 1 points)
(06.07 HC)
Which expression is equivalent to 12x − 8x + 3 and why?
3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x
7x, because 12x − 8x + 3 = 4x + 3 = 7x
12x − 5, because 12x − (8x − 3) = 12x − 5
x, because 12x − 8x + 3 = 12x − 11x = x
Question 4(Multiple Choice Worth 1 points)
(06.07 MC)
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Question 5(Multiple Choice Worth 1 points)
(06.04 MC)
What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
8.2
9.2
18.6
19.6
Question 6(Multiple Choice Worth 1 points)
(06.06 LC)
Which of these shows 8 + 3m rewritten using the commutative property of addition?
8m + 3
8 − 3m
3m − 8
3m + 8
Question 7(Multiple Choice Worth 1 points)
(06.02 LC)
Which of these is the algebraic expression for "5 times the sum of 2 and y?"
5 ⋅ 2 + y
2 + 5 ⋅ y
2(5 + y)
5(2 + y)
Question 8(Multiple Choice Worth 1 points)
(06.06 MC)
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Question 9(Multiple Choice Worth 1 points)
(06.03 MC)
Which statement best describes the expression 3 + y ÷ 2?
The quotient of 2 and the sum of 3 and y
The quotient of the sum of 3 and y, and 2
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
Question 10(Multiple Choice Worth 1 points)
(06.01 MC)
What is the value of the expression 22 + 62 ÷ 22?
10
13
16
36
Question 11 (Fill-In-The-Blank Worth 1 points)
(06.01 LC)
34 + 2 ⋅ 5 = ____. (Input whole numbers only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 12(Multiple Choice Worth 1 points)
(06.06 LC)
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Distributive property
Associative property
Commutative property of multiplication
Commutative property of addition
Question 13(Multiple Choice Worth 1 points)
(06.02 LC)
Which statement best describes the expression 4y ÷ 9?
9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Question 14(Multiple Choice Worth 1 points)
(06.07 LC)
Which expression is equal to 5p?
p + p + p + p + p
4p + 1
p + 5
p3 + p2
Question 15(Multiple Choice Worth 1 points)
(06.04 MC)
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 5 unit and width fraction 1 over 2 unit?
fraction 1 and 2 over 5 units
fraction 1 and 1 over 5 units
fraction 4 over 7 unit
fraction 2 over 7 unit
Question 16(Multiple Choice Worth 1 points)
(06.03 MC)
Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
Question 17(Multiple Choice Worth 1 points)
(06.02 MC)
Which of these is the algebraic expression for "4 less than the product of 3 and some number?"
4m − 3
3m − 4
3 − 4m
4 − 3m
Question 18(Multiple Choice Worth 1 points)
(06.03 LC)
What is the coefficient of y in the expression 2 ⋅ 4 + 3y?
2
3
7
8
(a) The value of 9 + (1/2) /4 * 48
We have:
[tex]9 + (1/2) /4 * 48[/tex]
Evaluate the quotients
[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]
Evaluate the products
[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]
[tex]9 + (1/2) /4 * 48 = 15[/tex]
Hence, the value of the expression 9 + (1/2) /4 * 48 is 15
(b) If x = 2.7, 5x =
The value of x is given as 2.7.
So, we have:
[tex]5x = 5 * 2.7[/tex]
[tex]5x = 13.5[/tex]
Hence, the value of 5x is 13.5
(c) Equivalent expression of 12x - 8x + 3
The expression is given as: 12x - 8x + 3
So, we have:
12x - 8x + 3 = 4x + 3
Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3
(d) Equivalent expression of 3(x + 3y + 2x - y)
The expression is given as: 3(x + 3y + 2x - y)
So, we have:
3(x + 3y + 2x - y) = 3(3x + 2y)
Also, we have:
3(x + 3y + 2x - y) = 9x + 6y
Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y
(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3
We have: 1/2x^3 + 5.2y
So, the expression becomes
[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]
[tex]1/2x^3 + 5.2y = 19.6[/tex]
Hence, the value of 1/2x^3 + 5.2y is 19.6
(f) The commutative property of addition of 8 + 3m
The commutative property of addition of 8 + 3m is 3m + 8
(g) The algebraic expression for "5 times the sum of 2 and y?
The algebraic expression is 5(2 + y)
(h) The error of the student
The student's first error is in step 2: 4(2) + 4x(2)
(i) The statement that describes the expression 3 + y ÷ 2
The correct statement is (d) the sum of 3 and the quotient of y and 2
(j) The value of an expression
We have:
22 + 62 ÷ 22
Evaluate
22 + 62 ÷ 22 = 24.8
Hence, the value of the expression 22 + 62 ÷ 22 is 24.8
(k) Complete the blanks
We have: 34 + 2 ⋅ 5 = ____
Represent the blank with x
34 + 2 ⋅ 5 = x
Evaluate
44 = x
Hence, the blank is 44
(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the (c) commutative property of multiplication
(m) The statement that best describes the expression 4y ÷ 9
The statement is: (c) 4 times y divided by 9
(n) The expression is equal to 5p
The expression is equal to 5p is (a) p + p + p + p + p
(o) The coefficient of y in the expression 2 ⋅ 4 + 3y
The coefficient of y in the expression is 3
Read more about equivalent expressions at:
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Simplify -18b^-4 Pliz help, I don’t understand math, especially Algebra II
Answer:
B. -[tex]\frac{18}{b^4}[/tex]
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
Answer:
b
Step-by-step explanation:
Seventy-two is what percent of 45?
Answer: 160%
Step-by-step explanation:
72/45 = 1.6 x 100 = 160%
About 8 out of 15 homes have a dog as a pet. On a street with 165 homes, how many would you expect to have a dog for pets?
Please explain how you got your answer.
Answer:
88
Step-by-step explanation:
create a proportion:
8/15 = x/165
cross-multiply:
15x = 1320
x = 88
Suppose f(x) = abx + c is an exponential function. One value which b CANNOT have is
Answer:
b cannot be 1
Step-by-step explanation:
Given
[tex]y = ab^x + c[/tex]
Required
Values b cannot have
In an exponential equation, the value of b can be:
[tex]b > 1[/tex] ---> This represents growth
[tex]b < 1[/tex]----> This represents decay
[tex]b \ne 1[/tex] ---> The value of b can't be 1. If b is 1, then it is not an exponential function
(-7, y) and (-2,-4); m = -6/5 find the slope
Answer:
y = 2
Step-by-step explanation:
Use the slope formula so y2-y1/x2-x1 = -6/5
so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6
3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11
Answer:
it goes by 2 two times then subtracts 3 then again
Step-by-step explanation:
10,12,9,11,8,10,7
Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
were 175 adult tickets sold and 103 child tickets sold. There was a total of $13796 in ticket sales. The
Jones family bought two adult tickets and two child tickets and spent a total of $184. How much does an
adult ticket cost and how much does a child ticket cost?
Answer:
Adult ticket is $60
Child ticket is $32
Step-by-step explanation:
Let x = price of adult ticket
y = price of child ticket
(1) 175x + 103y = 13796 (2) 2x + 2y = 184
x + y = 92
y = 92 - x
175x + 103(92 - x) = 13796
175x + 9476 - 103x = 13796
72x = 4320
x = 60 y = 92 - 60
y = 32
A pizza box measures 14 inches by 14 inches by 3.5 inches. What is the volume of the pizza box?
Answer:
Your answer would be 686in
Step-by-step explanation:
I say this because were suposed to use the formula V= l x w x h nd when applied it looks like this 686in = 14 x 14 x 3.5. Your welcome
The Volume of Pizza box is 686 inches³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
We have pizza box of shape Cuboid
length = 14 inches
width = 14 inches
height= 3.5 inches
So, Volume of box
= l x w x h
= 14 x 14 x 3.5
= 686 inches³
Learn more about Volume here:
https://brainly.com/question/46030
#SPJ6
What is the answer:
15x+10= -20x+150
Answer: 1
5+10=−20+1501+10−10=−20+150−10
Subtract the numbers
15=−20+140
15=−20+14015+20=−20+140+20
Combine like terms
35=140
35=1403535=14035
=4
What is the area of the triangle?
4
:10
2
units
Answer:
Your answer is 20
Step-by-step explanation:
as the formula 1/2*4*10=20.
hope it help you if yes then please make me the brainiest.
Thank you
parshv
use the guess and check method
4(x+2)+2=14
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
4(x+2)+2=14
4x+8+2=14
4x+10=14
4x=14 - 10
4x=4
x=4/4
x = 1
Larry deposits $36,000 into each of two savings accounts.
Account I earns 2.6% interest compounded annually.
Account II earns 2.6% annual simple interest.
There are no additional deposits or withdrawals.
What is the sum of the balances of these accounts at the end of 9 years?
$89,779.37
$90,710.74
$90,958.61
$93,069.22
Answer:
$90,710.74
Step-by-step explanation:
Answer:
it's the 3rd one
Step-by-step explanation:
it's so easy
The plot below shows the length of each of the 7 bulletin boards hanging in the fifth grade hallway. All measurements are rounded to the nearest 1/2 fraction meter.If the 3 longest bulletin boards were side by side, what would their total length be?
Answer:
[tex]Total = 11m[/tex]
Step-by-step explanation:
Given
See attachment for dot plot
Required
The length of the 3 longest boards
From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2
The frequency is gotten by counting the total dots on each length.
So, the total is:
[tex]Total = 4 m* 1 + 3\frac{1}{2} m* 2[/tex]
[tex]Total = 4m + 7m[/tex]
[tex]Total = 11m[/tex]
How many times larger is 3.172 x 106 than 2.44 x 105?
Answer: 2 times larger.
Step-by-step explanation:
Calculating area of rectangle with a diagonal of 5m height of 3m and length of 4m
Answer:
area = 12 m²
Step-by-step explanation:
area = L x W
area = 4 x 3 = 12 m²
Answer:
12m ²
Step-by-step explanation:
Area of rectangle = l × b
= 4m × 3m
= 12m²
Please help me please please ASAP ASAP please ASAP
Answer:
5Step-by-step explanation:3y - 1 = 28 / 2
3y - 1 = 14
3y = 14 + 1
3y = 15
y = 15 / 3
y = 5
Hope that helps!
carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6 y 3 en promedio ¿cuantas horas al dia esta Carmen frente al televisor?
A compact disc player costs £50 plus 17 1/2 % VAT.
Calculate the total cost of the compact disc player.
Answer:
£58.75
Step-by-step explanation:
Given data
Cost = £50
VAT= 17 1/2%= 17.5%
Let us find the amount of the VAT
=17.5/100*50
=0.175*50
= £8.75
Hence the total cost of the compact disk is
=50+ 8.75
=£58.75
14 = p + 19 I need some help with this one?
Answer:
p=-5
Step-by-step explanation:
have a lovely day!!
What is the area of this trapezoid?
26 cm²
32 cm²
40 cm²
72 cm²
Answer:
area = 26 m²
Step-by-step explanation:
4x5 = 20
3x4x0.5 = 7.5
20 + 6 = 26 m²
GIVING BRIANLIEST PLS HELP
a) Which lines are parallel?
b) Which line/lines act as a transversal?
c) Which angles are vertical angles that are not on parallel lines?
d) If angle 7 is 120 degrees, find the measure of the following angles:
Angle 8:
Angle 6:
Angle 5:
Angle 4:
Angle 3:
Angle 2:
Angle 1:
Step-by-step explanation:
a) Line AB ll DC
b) Line GH acts as a transversal.
c) <10 ; <12 , <9 ; <11
d) <8 = 180° - 120° = 60°(Ans)
<6 = 120°(Ans)
<5 = 60°(Ans)
<4 = 60°(Ans)
<3 = 120°(Ans)
<2 = 120°(Ans)
<1 = 60°(Ans)
Answer:
a) AB and DC are parallel
b) GH and EF act as a transversal
c) Angle 11 and 9 and Angle 10 and 12
d)Angle 8: 60
Angle 6: 120
Angle 5: 60
Angle 4: 120
Angle 3: 60
Angle 2: 60
Angle 1: 120
Hope it helps!!!
14. Given that 2a = 8b, find the ratio of a
to b in simplest form.
Answer:
1;4
Step-by-step explanation:
2a=8b/2
1a=4b
you cant simplify any more so this is the answer
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use? Laws of Sines or Laws of Cosines? and why?
Answer:
We would use the Law of Cosines to solve the question.
m∠ W = 121.8°
Step-by-step explanation:
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use?
The Law we would use to find find m∠W is the Law of cosines, this is because in the question above we are given 3 known sides of a triangle and we are asked to find an unknown angle.
Law of cosines when we are to find an unknown angle =
m∠ W = arc cos [u² + v² - w²/ 2uv]
m∠ W = arccos [ 20² + 47² - 60²/ 2 × 20 × 47]
m∠ W = 121.81159°
Approximately = 121.8°
Can someone help me and show how to do it
Answer:
Step-by-step explanation:25