We know that:
[tex]1. \space\ V_{Rectangular \space\ prism} = 10 \text\] units^{3}\\\\2. \space\ L_{Small \space\ cube} = \frac{1}{2} \space\ units\\\\ 3. \space\ V_{Small \space\ cube} = L ^{3}[/tex]
Step-1: Find the volume of the small cube.
[tex]V_{Small \space\ cube} = L ^{3}[/tex]
[tex]V_{Small \space\ cube} = (\frac{1}{2}) ^{3}[/tex]
[tex]V_{Small \space\ cube} = (\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})[/tex]
[tex]V_{Small \space\ cube} = \frac{1}{8} \space\ units^{3}[/tex]
Step-2: Divide.
[tex]\frac{10}{\frac{1}{8} }\\\\ \Rrightarrow(10)(8)\\ \\ \Rrightarrow 80[/tex]
Hence, 80 cubes can be fit in the rectangular prism.
volume of rectangular prism = 10 units³
volume of each cube = [tex]\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} = \frac{1}{8} units^3[/tex]
required cubes = [tex]\frac{10}{ \frac{1}{8} }= 80[/tex]
solve: |x-1|=1
can someone help fast im confused
Answer:
The equation has two answers
X = 0
X = 2
Step-by-step explanation:
The answer is absolute value or positive or negative, So it is
[tex] |x - 1| = 1[/tex]
[tex] |x - 1| = - 1[/tex]
We solve the equations and the answer is obtained
Hey there!
|x - 1| = 1
TRANSLATE:
x - 1 = 1 or x - 1 = -1
SOLVING for: x - 1 = 1
x - 1 = 1
ADD 1 to BOTH SIDES
x - 1 + 1 = 1 + 1
CANCEL out: -1 + 1 because it give you 0
KEEP: 1 + 1 because it help solve for the current x-value
NEW EQUATION: x = 1 + 1
SIMPLIFY IT!
x = 2
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x - 1 = -1
x - 1 = -1
ADD 1 to BOTH SIDES
x - 1 + 1 = -1 + 1
CANCEL out: -1 + 1 (the LEFT SIDE) because it give you 0
KEEP: -1 + 1 (the RIGHT SIDE) because it give you the current x-value
NEW EQUATION: x = -1 + 1
SIMPLIFY IT!
x = 0
Thus, your answer is: x = 0
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your overall answer is:
x = 2 or x = 0
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Select the three measurements that could be side lengths that form a right triangle.
Answer:
61^2=60^2 +11^2
3721=3600+121
11,60 ,61
Find the value of the trig functions indicated.
Answer:
Step-by-step explanation:
secθ = 17/15
What is the area of the parallelogram shown below?
A.
B.
C.
D.
The area of the parallelogram is base times height
base: 8 cmheight: 4 cmThus the area = 8 * 4 = 32 square centimeters or choice (c)
Hope it helps!
Greg is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges 69 and allows unlimited mileage. Company B has an initial fee of 55 and charges an additional 0.70 for every mile driven. For what mileage will Company A charge less than Company B? Use for the number of miles driven, and solve your inequality for m .
Can anyone tell me why I got this wrong?
-3(x+2)>15 or x-3 ≤ -1
my answer was ( -7, 2 )
The options are
A. ( - infinity, 2)
B. (-7, -2)
C. [ - 7, infinity)
D. ( -7, 2)
Answer:
The answer should be A. [tex]x \in (-\infty,\, 2)[/tex].
Step-by-step explanation:
Start with the second inequality, which is more straightforward than the first. Add [tex]3[/tex] to both sides of this equation to separate [tex]x[/tex] from the numbers:
[tex]x - 3 + 3 \le -1 + 3[/tex]. The direction of the inequality sign shall stay the same.
[tex]x \le 2[/tex].
On the other hand, simplifying the first inequality takes a bit more work. Start by dividing both sides by [tex](-3)[/tex]. However, keep in mind that dividing or multiplying both sides of an inequality with a negative number will invert the direction of the inequality sign. For example, the left-hand side of an inequality might have been greater than the right-hand side. When both sides are multiplied with a number less than zero, the new left-hand side would become smaller than the new right-hand side.
Because [tex](-3)\![/tex] is a negative number, dividing both sides of the first inequality inequality by [tex](-3)[/tex] will turn the "greater-than" sign into a "less-than" sign.
The inequality used to be:
[tex]-3\, (x + 2) > 15[/tex].
After dividing both sides by the negative number [tex](-3)[/tex], it becomes:
[tex]\displaystyle \frac{(-3)\, (x + 2 )}{(-3)} < \frac{15}{(-3)}[/tex].
[tex]\displaystyle (x + 2) < -5[/tex].
[tex]x < -7[/tex].
The question connected the two original inequalities with "or". Therefore, the conditions will be satisfied as long as either of at least one of the two inequalities is true. Note, that [tex]x < 2[/tex] is true whenever [tex]x <-7[/tex] is true. Therefore, any real number that is smaller than [tex]2[/tex] will meet the requirements- not just those that are smaller than [tex](-7)[/tex].
The corresponding interval will be [tex](-\infty,\, 2)[/tex].
How many lines of symmetry does the picture have ?
Answer:
A. 3Step-by-step explanation:
Salamat po ikaw na pong bahala kung Tama po
Tutorial
A cylinder has a height of 17 centimeters and a radius of 15 centimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.
Answer:
Volume of the cylinder is 12016.5 cm³[tex] \\ [/tex]
Step-by-step explanation:
Using formula:
[tex] \: \: \: \: \: \: \: \: \: \: {\underline{\boxed {\pmb{ \sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star [/tex]
[tex] \\ [/tex]
Where,
Height of cylinder is 17 cmRadius of the cylinder is 15 cm.Value of π = 3.14[tex] \\ [/tex]
Substituting the required values in the above formula :
[tex] \\ [/tex]
[tex] \dashrightarrow \sf \: \: Volume = 3.14 \times {(15)}^{2} \times 17 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 225 \times 17 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 706.5 \times 17 \\ \\ [/tex]
[tex]\dashrightarrow~~{\boxed {\pink{\pmb{\sf {Volume = 12016.5 \: {cm}^{3}}}}}} \\ \\ [/tex]
Hence,
Volume of cylinder is 12016.5 cm³Answer :
12000 cm³⠀
Explanation :
We know,
[tex]{ \longrightarrow \qquad{\boldsymbol {\pmb{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}}[/tex]
Where,
r is the radius of the cylinder. Here, the radius is 15 cm . h is the height of the cylinder. Here, height is 17 cm Here, we will take the value of π as 3.14 approximately .⠀
Substituting the values in the formula :
[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({15})^{2} \times 17 \: }}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \: \times 225 \times 17}}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 3825 }}}}[/tex]
⠀
[tex]{ \longrightarrow \qquad{ \pmb{ \sf{ Volume_{(cylinder)} = 12010.5 }}}}[/tex]
⠀
Therefore,
The volume of the cylinder is 12000 cm³ . (Rounded to nearest hundredth) The ratio of children to adults at a play is 2:3. The ratio of children under 10 to those over 10 is 7: 3. What % are younger children?
Answer:
28%
Step-by-step explanation:
Let number of children be 2x, then number of adults be 3x
Total number is 5x
Let number of children under 10 be 7y, number of children be 3y,
then total number of children is 10y
so 2x = 10y, x = 5y, y/x = 1/5
younger children = children under 10, number is 7y
so the % is 7y/5x = 7/5 * y/x = 7/5 * 1/5 = 7/25 = 28/100 = 28%
If Nathan scoops 8.5 cups of ice cream in 2 minutes, how many scoops of ice cream can he do in 8 minutes?
Answer:
34
Step-by-step explanation:
in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups
Answer:
34 scoops
Step-by-step explanation:
If I were you I would find how many cups nathan can scoop in a minute because not only its the easiest way it's the fastest so what you can do to find that is divide 8.5 by 2 which is 4.25.
since you know how many he can scoop in a minute you can do 8 times 4.25 because their is 8 minutes and 8 times 4.25 is 34
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.
A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50.
Which value could replace x on the table?
(4 – g) 1.5
(4 – g) + 1.5
4g – g(1.5)
(4 – g)g
Answer:
A (4-g)1.5
Step-by-step explanation:
hope this helps if you need a explanation just ask in the comments and I will.
If x equals 8 - (-2.25) and y equals 6 - 4.2 - (-4.9), what is the value of x - y?
Answer:
3.55
Step-by-step explanation:
This is simply combining like terms.
First, lets evaluate the terms separately.
x = 8 - (-2.25)
x = 8 + 2.25 (Negative signs cancel out)
x = 10.25 (Combine like terms)
y = 6 - 4.2 - (-4.9)
y = 6 - 4.2 + 4.9 (Negative signs cancel out)
y = 6.7 (Combine like terms)
Now, lets plug in these values to x - y.
(10.25) - (6.7)
3.55
The value of x - y is equal to 3.55.
People attending a basketball game either supported the home team or the visiting team. If 576 of the people attending supported the home team and 1224 supported the visiting team, what percentage supported the home team?
Answer:
32%
Step-by-step explanation:
1224 + 576 = 1800
100% = 1800
1% = 18 (divide by 100)
576 / 18 = 32
32% = 576
Answer:
32%
Step-by-step explanation:
576+1224=1800
576/1800=32/100
32%
Based on the information in the table, is the cost of the apples proportional to the weight of apples?
A pound of apples:
2
3
4
5
Cost of apples:
$3.76
$5.64
$7.52
$9.40
Answer:
I think it is the 3.76 I am 85%sire
Answer:
YEAH IT IS :D
Step-by-step explanation:
First you need to get 1 pound. 2 pounds is 3.76 divide it by 2 and get 1.88. Multiply it by so you can get 3 pounds: 1 x 3 = 3 pounds. 1.88 x 3 is 5.64. Now to get 4 pound you add 1.88 again to 3 pounds to add a pound and you get 7.52. Now add 1.88 to 4 one more time to get 5 pounds: 4 + 1 = 5 pounds. And 7.52 + 1.88 = 9.40. Now you checked the whole table and they are right so yes it is proportional to the weight of apples!
4.5(8-x)+37=103-2.5(3x+24)
Answer:
x= -10
Step-by-step explanation:
Answer:
If i did it right...im not sure if i did...but it should be: - 2.5 = x
Step-by-step explanation:
4.5 (8 - x) +37 = 103 - (7.5x + 60)
(36 - 4.5x) + 37 = 103 - (7.5x + 60)
+ 4.5x + 4.5x
36 + 37 = 103 - (12x + 60)
73 = 103 - (12x + 60)
- 103 - 103
-30 = -12x - 60
+ 60 + 60
30 = - 12x
/-12 /-12
- 2.5 = x
Really need help with this problem
Answer:
(-1, 6)
Step-by-step explanation:
f(x) = g(x) this means when they intersect
What is the slope of the line in the graph?
5
4
3
2
1
-54-3
-1
1
2
3
5
X
2
3
5
Answer:
Slope = 1
Equation: y= 1x + 1 or y= x + 1
Step-by-step explanation:
The slope is one because the rise over run from point (-1,0) to (0,1) is 1/1, and 1/1 is equal to 1. This means in the form y=mx + b the slope would be put in for m. y= 1x + 1. The plus one is because the line crosses the y axis at y = 1. When you are writing the equation technically you do not need to write it as y= 1x +1 you can just do y = x + 1 because there is only 1 x.
GIVING BRAINLIST ON TIMER
✏️VOLUME
Solution:
Figure #1.
Since the given is a rectangular prism, use the formula:
V = lwhWhere:
l - lengthw - widthh - heightGiven:
l = 15 in.w = 6 in.h = 8 in.» Substitute the givens on the formula.
V = lwhV = (15 in.)(6 in.)(8 in.)V = (90 in.²)(18 in.)V = 1 620 in.³Therefore, the volume of the rectangular prism is 1 620 in.³
Figure #2
Since the given a cube, use the formula:
e³Where:
e - edgeGiven:
e = 9 in.» Substitute the given on the formula.
e³(9 in.)³(9 in.)(9 in.)(9 in.)729 in.³Therefore, the volume of the cube is 729 in.³
Figure #3
Since the given is a cylinder, use the formula:
V = πr²hWhere:
π - pi (3.14)r - radiush - heightGiven:
r = 8 in.h = 14 in.» Substitute the givens on the formula.
V = πr²hV = (3.14)(8 in.)(14 in.)V = (25.12 in.)(14 in.)V = 351.68 in.³Therefore, the volume of the cylinder is 351.68 in.³
Answer:
Number #1
1 620 in.³Number #2
729 in.³Number #3
351.68 in.³•••••••••••••••••••••••••••••••••••••••••••••••••
#CarryOnLearning
Classify the triangle by its sides.
Answer:
equilateral triangle
Step-by-step explanation:
because only equilateral triangle has all three angles of 60 degree
Cindy is driving 345 miles. She put 16 gallons in her car to fill it up. What is her average MPG?
21.5
16
18.75
20
Answer:
MPG is miles per gallon so we just need to divide the miles by the gallons
345/16=21.56
so i guess a?
i mean thats rounded wrong but its the closes one
a
Hope This Helps!!!
100 POINTS AND BRAINLY I NEED THIS ANSWER IMMEDIATLY!!
Step-by-step explanation:
SORRY FOR MESSING WITH YOU MATE
HERE YOU GO
The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.
Select from the drop-down menu to correctly complete the statement.
The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.
Correct answers:
1
45 oz less than
what is the midpoint between (-1,4) and (7,12)
Step-by-step explanation:
solve accordingly to the picture
A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank.
How many gallons of water are in the fish tank? HURRY PLS :(
Answer:
90090090 quarts to fill the fish tank
An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.
Answer:
5 gigabytes
Step-by-step explanation:
gb = gigabytes
bill - monthly service charge = gigabytes only bill
gigabytes only bill divided by charges per gigabyte = gb of data used
78 - 18 = 60
60 divided by 12 = 5
18
78
Written in the given rational numbers into the correct
Answer:
-4/3, -4/5, -2/3, 7/10, 7/8
Step-by-step explanation:
The order from left to right is:
1. -4/3
2. -4/5
3. -2/3
4. 7/10
5. 7/8
Hope this helps :)
Solve the equation 3/5(x-10)=18-4x-1
Answer:
x=5
Step-by-step explanation:
pls heart and give brainliest
1. Simplify both sides of the equation
3/5 (x−10) = 18 − 4x − 1 ( 3/5 )(x) + ( 3/5 ) (−10) = 18 + − 4 x + − 1 (Distribute)
3/5x + − 6 = 18 + − 4x + − 1 3/5 x − 6 = (−4x) + (18+−1) (Then Combine Like Terms)
3/5 x−6=−4x+17 3/5 x−6=−4x+17
2. Add 4x to both sides
3/5 x−6+4x=−4x+17+4x 23/5 x−6=17
3. Add 6 to both sides
23/5 x−6+6=17+6 23/5 x=23
Step 4: Multiply both sides by 5/23.
( 5/23 )*( 23/5 x)=( 5/23 )*(23)
x = 5
Therefore the answer to this equation is "x = 5"
what is the mean of these numbers
5
4
1
8
5
Answer:
4.6
Step-by-step explanation:
to find mean you add up all the numbers then divide by how many numbers there are. 5+4+1+8+5= 23 Since there are 5 numbers you divide 23 by 5 which equals 4.6
monster helping overcome essay.
Answer:
OK Heres a story but dont expect me to do more stuff like this k rate five stars pls and thanks
Step-by-step explanation:
Once upon a time i was laying in bed on my phone then i herd i noise in my closet so i got up out of bed and looked in the closet and nothing was there.Then i decided to go to sleep because it was getting late than while i was sleeping i woke up to a weird noise like a growl. That's when i saw it the monster he ran when i saw him or her. The i found him hiding in the same closet i heard the weird noise.Ten i realized he was just a little scared monster. He was probibly more scared than i was i thought to my self. I asked him are you ok? he didint repliy i told him my name and he looked like he felt better so i gave him a snack sice i thought he was hungry. he gobbled it up really fast than i asked him or her whats you name? There was no repliy. Then i realized they didin't speak english. but i wanted them to be happy so i showed the little monster some of my toy cars i ad around my room he was entertained so i thought we could be freinds and we did The end.
Evaluate whether each value makes a true or false statement.
5. k+ 6 ≥ 19, if k = 11
True
False
Answer:
False.
Step-by-step explanation:
Let's just plug in k, there's no easier way to do it really. 11+6 ≥ 19. Is 17 ≥ 19. No, it isn't. For future problems like this, just plug in the variable if you have it.
Answer:
False
Step-by-step explanation:
What is the value of 3 to the power 2 over 3 to the power 4?
1 over 81
1 over 27
1 over 9
1 over 3
Answer:
1 over 9
Step-by-step explanation:
3^2= 9 =1
3^4= 81 =9
Ans:1over9