Answer:
I need more info
Step-by-step explanation:
The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.
The length of the side of the smaller cube is 3.48cm
Let the length of the smaller side be xThe length of the bigger side will be x + 2Volume of the smaller cube = x^3Volume of the larger cube = (x+2)^3If their volumes differ by 152 cm^3, then;
x^3 - (x+2)^3 = 153
Expand
x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153
x^3-x^3-12x^2-24x + 16 = 153
-12x^2-24x + 16 = 153
12x^2 + 24x - 16 - 153 = 0
12x^2 + 24 -169 = 0
On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm
Learn more on volume of cubes here: https://brainly.com/question/1972490
If each quadrilateral below is a square, find the missing measures
solve for X
Answer:
i think x = 18.5
Step-by-step explanation:
6x-21 = 90°
6x = 90+21
6x = 111
x = 111/6
x = 18.5
how many steps will it take you to get to 100 if every even number you double and every odd number u take 1 away
Help me with this please.......
Step-by-step explanation:
12 x + 124⁰ = 360⁰
12x = 236⁰
x = 19.67 Is your answer
solve 3x/7= 1/2
pls show working out thanks <3
Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)
1/7x^2+1=3/7x
smaller value of x =
larger value of x=
[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]
find the domain of f(x). f(x) = √9x+36
Answer:
The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]
Step-by-step explanation:
I'm assuming the 9x and the 36 are in the root
[tex]\sqrt{9x+36}[/tex]
first we must solve for x
[tex]{9x+36}\geq 0[/tex]
substract 36 to both sides
[tex]{9x}\geq -36[/tex]
divide by 9 to both sides
[tex]\frac{9x}{9} }\geq \frac{-36}{9}[/tex]
simplify left side
[tex]x\geq \frac{-36}{9}[/tex]
simplfy right side
[tex]x\geq -4[/tex]
The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]-4}
Solve the equation.
7- 3n = 11n+ 2
The quotient of s and three
Answer:
s/3
Step-by-step explanation:
The quotient means you divide the two values.
2/9 dived 1/2 helpppp
Answer:
.44 or 11/25
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
2/9 divided by 1/2 can be changed to multiplication by using the inverse of the fraction you are divining by, which makes 2/9 times 2/1, or 2/9 times 2, which is 4/9
what is 5 7/20 written as a decamal
Answer:
5 7/20 as a decimal is 5.35
Hope that helps. x
Answer:
Step-by-step explanation:
If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35
The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?
Answer:
They need to wash 72 cars
Step-by-step explanation:
2000 - 1640 = 360
360/5 = 72
Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour
Answer: $14.9/hr
Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour
The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.
true
false
Step-by-step explanation:
Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true
to convert 25 hours to minutes would you use the ratio 1/60
Answer:
Yes
Step-by-step explanation:
1 hour = 60 min
25 hours = 60 x 25 min
A candy company used 8 pints of chocolate to
make 2 boxes of candy. How much chocolate would
they need to make 6 boxes of candy?
Answer:
They would need 24 pints of chocolate to make 6 boxes of candy
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answer:
a is possible
b is not possible
c is possible
4 1/2 x 5 Multiply and answer with a mixed number in the simplest form.
Answer:
[tex]22\frac{1}{2}[/tex]
Step-by-step explanation:
(4.5)(5) = 22.5
[tex]22.5 = 22\frac{1}{2}[/tex]
What is the best estimate for this sum?
1/8+1/6
Options here:
The sum will be close to 1/4
The sum will be close to 1/2
The sum will be close to 1
*Disclaimer* show work
Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)
With the center of dilation at the origin, the image is given by the product
of the corresponding point on the preimage and the scale factor.
The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]Reasons:
The center of dilation of quadrilateral MNOP = The origin
The image following the dilation of MNOP = M'N'O'P'
The scale factor of dilation = 1.5
Required:
The coordinates of N'
Solution:
The coordinates of N in MNOP = N(3, 3.5)
The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;
(x', y') = Scale factor × (x, y)Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
The coordinates of N' = C) (4.5, 5.25)Learn more about dilation transformation here:
https://brainly.com/question/12561082
Answer:
C) (4.5, 5.25)
Step-by-step explanation:
Need help NOW on HS geometry
plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
Toya has a car loan of $8500. Over the course of the loan, she paid a total of $5526 in interest at a rate of 13%. How many months was the car loan?
Answer:
42 months
Step-by-step explanation:
3(x+3/4+5-x/4-x/6)=10
3(x+3-4+5-x-4-x-6)=10
-3x/-3= -28/3
x= -28/3
Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza
Answer:
pointsss
Step-by-step explanation:
Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex].
To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.
Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.
If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.
Complete the statement. Round the nearest hundredth if necessary.
6.5L=. Gal
Answer:1.72Gal
Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72
Fred mixes 3 1/2 cups of flour, 1 1/4 cups of sugar, 2/3 cup of rye flour, and 1/3 cup of wheat flour. Will the ingredients fit into a 6-cup bowl?
The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]
Answer:
4:7
Step-by-step explanation:
We know that
Area of square = s²
For square 1
16 = s²
√16 = s
4 = s
For square 2
49 = s²
√49 = s
7 = s
Scale factor = 4:7
Find the inequality represented by the graph.
Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
find the slope and y-intercept and write equation in form of
y = mx + b; m = slope and b = y-intercept
if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3
we can see by looking at the graph that the y-intercept is 1
therefore, y ≤ -1/3x + 1
Elena received a $30 gift for her birthday. She plans to use it to buy one or more books. Elena will have to pay 8% sales tax on the books and $1.50 bus fare to get to and from the shopping center. If c = the amount in dollars Elena spends on books, this situation can be represented by the inequality below.
1.08c + 1.5 ≤ 30
The cost of book has to be less than or equal to 26.39.
The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.
(1 + tax)cost of books + cost of bus fare ≤ value of the gift
1.08c + 1.5 ≤ 30
In order to determine the maximum cost of books, take the following steps:
Combine similar terms
1.08c ≤ 30 - 1.5
Add similar terms together
1.08c ≤ 28.50
Divide both sides of the equation by 1.08
c ≤ 28.50 / 1.08
c ≤ 26.39
To learn more about taxes, please check: https://brainly.com/question/25311567