Answer:
27
Step-by-step explanation:
108 ÷ 4 = 27
proportion
if 1/x = 4/108
4x = 108
x = 108/4
x = 27
4+3÷3(67)-5×8
What is the answer
The maximum weight for the elevator is 599 pounds. Write an inequality that shows the weight.w. it can hold.
Answer:
599>w
Step-by-step explanation:
Since the max was 599 we need to show that the weight or w has to be less than 599
Answer:
599 ≥ w
Step-by-step explanation:
The other person is wrong
It can hold 599 pounds, and anything less than that, so we use this symbol
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
6a²
Step-by-step explanation:
6×5² = 6×25 = 150cm²
thank you
Answer:
150 centimeters cubed
Step-by-step explanation:
[tex]6x2^2= 150[/tex]
Which statute generates statistical data that is generally cited to support findings.
The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.
What is statistical data?It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.
In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.
Learn more about statistics on:
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Express the ratio below in its simplest form
2.5 : 3.5
Answer:
5 : 7
Step-by-step explanation:
Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7
Answer:
5:7
Step-by-step explanation:
The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7
Solve this on your own and find the unit rate of miles per hour.
0.6 litres in the ratio 7:5
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Answer:
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Step-by-step explanation:
Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)
Step-by-step explanation:
the formula for the mid point is:
{(x1 + x2)/2 , (y1 + y2)/2}
so using the formula we get:
(15, 5)
also are you sure that the question wants the midpoint? since the answer is not included in the choices
Answer:
C(15,3)
Step-by-step explanation:
Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]
= [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]
= 15,5 (which is closest to C, i think there is a mistake in the question as there is only one formula to find midpoint so y coordinate has to be 5)
The diameter of a semicircle is 30 miles. What is the semicircles radius ?
Answer:
D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle
A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages
Answer:
teacher's age: 30
student's age: 15
Step-by-step explanation:
T = 15 + S
from above,
(T+15)/(s+15) = 3/2
by substitution,
(15+S +15)/(S+15) = 3/2
cross multiply,
2(S+30) = 3(S+15)
2S + 60 = 3S + 45
60 = S + 45
s = 15
T = 30
Mrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.
Which students have correct responses to Mrs. Mueller's inequality?
Select ALL that apply.
Answer:
Maya, Pablo
Step-by-step explanation:
We solve the inequality to find how big x must be to fit the inequality.
[tex]\frac{3}{5}x > 6\\ x > 10[/tex]
Since x has to be greater than 10, anyone with an answer above that is correct.
Maya and Pablo are the only two.
h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for . Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Answer:
the answer is 725.71
Step-by-step explanation:
chris took a spelling quiz last week.she got 12 out of 16 problems correct.what percentage did chris get correct
Answer:
Chris got 75% correct.
Step-by-step explanation:
[tex]\frac{12}{16}[/tex] x 100 = 75
So, the percentage chris got correct is 75%
Answer:
He got 75% correct
Step-by-step explanation:
you can do it like this:
[tex]\frac{12}{16}[/tex] × 100 = 3× 25= 75%
Hope you understood and it helped!!
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer:
16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.
Therefore 48 * 4 = 192 servings.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,
As we know,16 cups are in a gallon,
1 gallons = 16 cups
3 gallons = 3 × 16 cups
3 gallons = 48 cups
If 1 cup of milk works for 4 servings,
The number of servings that can be made from three gallons will be,
=48 × 4
= 192 servings.
Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
Learn more about the arithmetic operation here:
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algebra elimination- 13x+8y=-2 and 2x+y=-1
Answer:
x=-6/29
y=-17/29
Step-by-step explanation:
we have the system of equations
-13x+8y=-2 ------> equation 1
2x+y=-1 ------> equation 2
Solve by elimination
step 1
Multiply equation 2 by -8 on both sides
-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3
step 2
Adds equation 1 and equation 3
-13x+8y=-2
-16x-8y=8
-----------------
-29x=6
x=-6/29
Find out the value of y
substitute the value of x in any equation
2x+y=-1
2(-6/29)+y=-1
-12/29+y=-1
y=-1+(12/29)
y=-17/29
therefore
The answer is
x=-6/29
y=-17/29
How much paper is needed to make a cone with a radius of 6cm, a height of 8cm, and a slant height of 10cm?
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]
[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]
[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] As we know that,
Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]
On substituting the value of radius(r) and slant height(l) in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]
Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.
_____________________________
Hope it helps:)
Step-by-step explanation:
Given:-
Radius of cone :- 6cmHeight of cone :- 8cmSlant height of cone :- 10 cmTo find :-
How much paper is needed to make a coneConcept :-
We need to find the Curved surface area of cone to find the amount of paper needed to make the cone of given dimensions.Solution :-
As we know ,
the formula for finding the curved surface area of cone :- πrl
putting the known values ,
CSA :- 3.14 × 6 × 10 cm²
CSA of cone :- 188.4 cm²
Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?
Answer:
3 1/4 pounds
Step-by-step explanation:
Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.
He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375
Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.
Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.
Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is
Answer:
12 cmStep-by-step explanation:
Let O be the centre of the circle of radii 10 cm and 8 cm.
In given figure,
AP = PB and OP⊥AB
Applying Pythagoras theorem in ∆OPA, we get
↠ OA² = OP² + AP²
↠ (10)² = (8)² + AP²
↠ 100 = 64 + AP²
↠ 100 - 64 = AP²
↠ 36 = AP²
↠ √36 = AP
↠ 6 = AP
Now,
↠ AB = 2AP
↠ AB = 2(6)
↠ AB = 12 cm
Hence,
The length of the chord of the larger circle 12 cmDevaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?
Answer:
37 and 43
Step-by-step explanation:
There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.
Can someone please help
Ahhh, the graph! Such an interesting thing. I think I can help you...
The answer is B - (3, -4).
My explanation is this.
In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)
If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.
But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.
Therefore the answer (3, -4)
I hope this answers your question.
-Toremi
This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.
Answer:
The Answer Is 240in^3
Step-by-step explanation:
I Took The Test And Got It Right.
The Volume of the fish tank is 240 in³.
The correct option is (D).
What is the volume of plane shapes?The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.
Given:
The figure can be differentiated into two shapes;
A rectangleA triangleThe volume of the rectangle is known as:
= Length × Breadth
= 7 inches × 5 inches
= 35 inches²
The volume of the triangle is:
= 1/2 × base × height
= 1/2 × 2 × 5
= 5 inches²
The total volume of the base of the fish tank now is:
= 35 inches² + 5 inches²
= 40 inches²
Now, the volume of the fish tank is:
= Height × base of the fish tank
= 6 inches × 40 inches²
= 240 in³
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If sally had 5 apples and Sam took 3 how many apples are left
Answer:
2 apples are left
Step-by-step explanation:
the volume inside a rectangular storage room is 2,025 cubic feet. the room is 9 feet high. find the the area of the floor.
Answer:
(Sorry if this answer is not correct, if it is or is not, please tell me in the comments!)
232.777778 feet squared (feel free to round the answer)
Step-by-step explanation:
The formula on how to find the volume is:
(the area of the floor) x (the height of the room) = 2025 cubic feet
We already know the height, so we need to plug it in.
(the area of the floor) x 9 feet = 2095 cubic feet
To get the area of the floor, we need to divide 2095 by 9.
So, the area of the floor is exactly 232.777778 feet squared.
Answer:
225 ft²
Step-by-step explanation:
Formula
Volume = Base Area x HeightVolume = 2,025 ft³Height = 9 ftSolving :
Base Area = Volume / HeightBase Area = 2,025 / 9Base Area = 225 ft²Gloria is an artist. She sets a goal to paint 2 pieces every month. She has already painted 5 pieces. The number of pieces that Gloria will paint will depend on how many months for which she paints. Which statements describe the total number of pieces "p" Gloria will have painted after "t" months, if she meets her goal? Select all the statements that are true.
Answer:
O The independent variable is T and P is the dependent variable
O The P increases by 2 as T increases by 1
1. Simplify the radical V3c^2/v27
Hi! To solve this problem, your first step is to:
c2
Simplify ———
v27
The Equation is at the end of step 1: c2
(v3) • ———
v27
Now STEP 2:
Dividing exponential expressions :
2.1 v3 divided by v27 = v(3 - 27) = v(-24) = 1/v24
After we done this, your Final result is: c2
———
v24
It's not really a specific question, but can someone pleeeeease explain how to do constant of proportionalities from tables! I've watched the khan videos on it, but it's just not clicking for me. Please help!
Answer:
by looking in the copy and learning the tips or step how to do it
Answer:
For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.
Step-by-step explanation:
Hope this helped you understand it better
~Heaven~
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A is (arithmetic sequence)
and D is 1 2 3 4 5 6 7
Unfortunately, I only know the answer to those two.
Sorry.
solve using completing the square method
Answer:
x=3.48 or -1.98
Step-by-step explanation:
2x^2-3x-8=0
x^2-1.5x-4=0
(x-0.75)^2=0
x^2-1.5x-0.5625=0
(x-0.75)^2-7.4375=0
(x-0.75)=√(7.4375)
x=0.75±√(7.4375)
x=3.48 or -1.98
Use the diagram below to answer the
following questions.
2x - 1
x + 7
B
X-4
What is the value of x?
X =
=
What is the perimeter of triangle ABC?
The perimeter is
units.
Answer:
34
Step-by-step explanation:
Since this an isosceles triangle we can say the length of AB = AC
2x - 1 = x + 7
2x - x = 7 + 1
x = 8
The perimeter is calculated by adding all side lengths
2x - 1 + x + 7 + x - 4 = Area add like terms
4x + 2 = Area replace x with the value we found
4*8+2 = 34 units square
