Step-by-step explanation:
There are 48.7 cups in total
2/18 of 48.7 cups is needed for volcano
Total amount needed for experiments are :
2/18 of 48.7 = 97.4/18 = 5.411 cups
If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411
What is fraction ?fraction is a mathematical expression representing the division of one whole number by another
Here given that Rocco has 48.7 cups of flour in his storage unit. He needs 2/18 that amount to use for his homemade volcano.
Hence total number of cups needed for his experiment can be written as :
[tex]\frac{2}{18}\times \text{Total cups}[/tex]
[tex]\frac{2}{18}\times 48.7\\\\\\\frac{2}{180}\times 487\\\\\\\\\frac{974}{180}\\\\ = 5.411[/tex]
If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411
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Use equivalent ratios to find the unknown value.
Answer:
66 is equal to K
Step-by-step explanation:
if 4 times 6 equal 24
then 11 time 6 equals 66
in this case, the scale factor is 6.
Have a wonderful day!
Answer:
K = 66
Step-by-step explanation:
[tex]\frac{k}{24} = \frac{11}{4}[/tex]
when taking a look at this, first try to see if you can solve the denominator.
24 to 4 equals 6 meaning you divide k by 6 will be equal to 11
Then 11 x 6 = 66!!
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6m 10m what is the area of the shaded triangle
Answer:
6 x 10 = 60, 60 divided by 2 ( x 1/2 ) = 30
Step-by-step explanation:
Formula area of a triangle:
B(base)H(height) x 1/2
In this case 10 is your base and 6 is your height.
The area of the shade triangle is 30m².
Area of a triangleBy convention, the area of a triangle is given as;
Area = (1/2) × base × height
Hence, Area, A of the shaded triangle is;
A = (1/2) × 10 × 6A = 30m².Read more on area of a triangle;
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The ratio 2.5 metres to 70 centimetres can be written in the form 1 :n
Find the value of n
Answer:
n = 28.
Step-by-step explanation:
70 divided by 2.5 is 28
x = A 21.6 B 12.9 C 9.1
Answer:
B: 12.9
Step-by-step explanation:
If A B and C are the alternatives, the answer is B: 12.9
The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.
And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6
Any questions, comment.
Answer:
B
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin57° = 12 ( divide both sides by sin57° )
x = [tex]\frac{12}{sin57}[/tex] ≈ 12.9 ( to 1 dec. place ) → B
A total of 15000 is invested at an annual percentage rate of 12.5%. Find the accumulated amount after 3 years if it is compounded quarterly.
Answer:
24542.26 is the final balance
Find the missing height
Answer:
first one
Step-by-step explanation:
Which expression could be used to determine the perimeter of the triangle?
A 9x + 4
B 9(x + 4)
C 13x
D 13(x + 1)
Answer:
A. 9x + 4
Step-by-step explanation:
Perimeter of a triangle = side A + side B + side C
Side A = 2.5x + 3
Side B = x + 6
Side C = 5.5x - 5
Perimeter of a triangle = side A + side B + side C
= (2.5x + 3) + (x + 6) + (5.5x - 5)
= 2.5x + 3 + x + 6 + 5.5x - 5
= 2.5x + x + 5.5x + 3 + 6 - 5
= 9x + 4
Perimeter of a triangle = 9x + 4
The correct answer is A. 9x + 4
Find the volume of this cylinder. Use 3 for T.
5 ft
12 ft
V [?]ft
IM DESPERATE HELP
Answer:
V=about 900 cubed feet
Step-by-step explanation:
V=pi(5^2)12
V=pi(25)12
V=pi(300)
V is about 900 cubed feet
Brainliest plz?
Answer:
900 ft cubed
Step-by-step explanation:
v=pi*r sqaured* h
The radius is 5 and sqaure 5 to get to 25. Multiply that by pi, which in your case is 3, and you get 25. Then mulitply that by 12, height, and you get your answer is 900.
Lmk if you need more help
Also, to do this on the calulator is easy as well. Just times pi(3 for you) by the raduis twice and then times that by the height. For example, for this question, I just typed in my calculator, 3 times 5 times 5 times 12 and I got 900.
Sorry if this doesn't make sense lol I'm not good at explaining things.
9.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (0, –2); minimum
B. (–2, 0); maximum
C. (–2, 0); minimum
D. (0, –2); maximum
Answer:
D. (0, –2); maximum
Step-by-step explanation:
To plot
( 0 , − 2 )
, start at the origin
( 0 , 0 )
and move right
0
units and down
2
units.
( 0 , − 2 )
To plot
( − 2 , 0 )
, start at the origin
( 0 , 0 )
and move left
2
units and up
0
units.
( − 2 , 0 )
To plot
( − 2 , 0 )
, start at the origin
( 0 , 0 )
and move left
2
units and up
0
units.
( − 2 , 0 )
To plot
( 0 , − 2 )
, start at the origin
( 0 , 0 )
and move right
0
units and down
2
units.
( 0 , − 2 )
please help mee!!!lol
Answer:
X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answer:
x = 10.8
Step-by-step explanation:
Cos∅ = adj/hyp
Cos26 = x/12
Multiply both sides by 12
12 * cos26 = x
Use calculator
10.785528555590004 = x
Round
x = 10.8
Solve for x.Enter the solutions from least to greatest. 3x^2+4=436
Answer:
Step-by-step explanation:
Write a formula for the given measure. Let P represent the perimeter in inches, and w represent the width in inches. Identify which variable depends on which in the formula.
Complete Question:
Write a formula for the given measure. Let P represent the perimeter in inches, and w
represent the width in inches. Identify which variable depends on which in the formula.
*The perimeter of a rectangle with a length of 5 inches
Answer:
P = 2(5 + w)
Or
P = 20 + 2w
P is the dependent variable
w is the independent variable
P depends on w.
Step-by-step explanation:
Given:
Perimeter of rectangle = P
Width of the rectangle = w
Length of the rectangle = l = 5 in.
Formula for perimeter of a rectangle = 2(length + width)
Plug in the values. Formula for the given measure would be:
P = 2(5 + w)
Or
P = 20 + 2w
P is the independent variable, while w is the dependent variable.
This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,
P depends on w.
Andre can run 2 1/2 miles in 3/4 hour. Find his average speed in miles per hour.
Answer:
3 1/3 miles per hour
Step-by-step explanation:
(5/2 ÷ 3/4) = (s ÷1)
(5/2 ÷ 3/4) = 10/3
10/3 = s/1
cross-multiply:
3s = 10
s = 10/3
s = 3 1/3 miles per hour
Answer:
3 1/3 mph
Step-by-step explanation:
-____________________-
A cross section of a rectangular pyramid is made perpendicular to the base and through the vertex as shown. What is the area of the cross section?
Answer:
20 cm²
Step-by-step explanation:
1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20
If my answer is incorrect, pls correct me!
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-Chetan K
PLEASE PLEASE PLEASE help me
Answer:
Step-by-step explanation:
i dont know
What is the median for 46 47 52 55 64 69 70 78
2x-14 factorise fully
Answer:
2(x-7)
Step-by-step explanation:
Factor 2x−14
2x−14
=2(x−7)
Answer:
2(x−7)
Wich systems of equations would have NO solution?
(Answer with work for branliest)
comparing value
3x+2=-3x-2
6x=-4
x=-4/6Have solution.
for 2nd.y=-2x+10
y=-2x+10
both are equal So no solution.
3rd
y=-x+4
y=-x+4
both are equal So no solution
4th
3x+y=8
3x+y=9
both are equal So no solution
4 1/2 ft
2 ft
5 1/2 ft 3 1/2 ft the diagram above depicts a
conference room table. If the table
top is being painted, then what is a
reasonable estimate for the number
of square feet?
Answer:
4 1/2 ft
Step-by-step explanation:
.
The sum of David and Jacobs age is 39. Two years ago David was four times Jacobs age. How old are three now?
Answer:
David is 30
Jacob is 9
Step-by-step explanation:
The sum of David and Jacobs age is 39
d + j = 39
d = 39 - j
----------------------
Two years ago David was four times Jacobs age
(d - 2) = 4(j - 2)
d - 2 = 4j - 8
d = 4j - 6
---------------------
Set the equations equal
4j - 6 = 39 - j
5j = 45
j = 9
d = 4(9) - 6
d = 30
l = [?] ft
9 ft
4ft
PLEASE HELP MEMEMEMEME
AXYZ has vertices X(-4,2), Y(4.2), and Z(0, - 1). Is AXYZ scalene, isosceles, or equilateral?
Is AXYZ scalene, isosceles, or equilateral?
Answer:
Isosceles triangle.
Step-by-step explanation:
In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;
For XY;
X(-4,2), Y(4.2)
XY = √(2-2)²(4-(-4)²)
XY = √(4+4)²
XY = √8²
XY = 8
For XZ;
X(-4,2), Z(0, - 1)
XZ = √(-1-2)²(0-(-4))²
XZ = √(-3)²+4²
XZ = √9+16
XZ = √25
XZ = 5
For XZ;
Y(4.2), Z(0, - 1)
YZ = √(-1-2)²(0-(4))²
YZ = √(-3)²+(-4)²
YZ = √9+16
YZ = √25
YZ = 5
Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.
NB: Isosceles triangle only have two of its sides and angles equal
Jeannie wants to buy her llama a sweater for $32. It's on sale for 20% off. Sales tax is 6.75%. What is the final cost?
Answer: Your total payment: $27.33
How much you saved: $6.83
The tax: $1.73
Step-by-step explanation:
Lulu has raised 34 3 4 of the money she needs for a field trip. 12 1 2 of that money came from candy sales. What fraction of the total money needed for the field trip came from candy sales?
Answer:
3/8
Step-by-step explanation:
Lulu raised 3/4 of a money for field trip
1/2 of that money came from candy sales
The money that came from the candy sales can be calculated as follows
= 1/2 × 3/4
= 3/8
There are 140 milligrams of caffeine in a
12-ounce cup of coffee. How many
milligrams of caffeine are in 3 ounces of the
same coffee?
Answer:
35 milligrams
Step-by-step explanation:
To get from 12 ounces to 3 ounces, you need to divide by 4.
Do the same with 140 milligrams and you get 140/4=35 milligrams.
Find the answers to the following:
A. What is slope-intercept form of
an equation?
B. What is the slope of a line?
C. What is the formula for slope?
D. What is the rate of change of
a line?
E. What is the y-intercept of
a line?
F. What is the x-intercept of
a line?
G. What is the point slope formula?
H. What does HOY stand for?
I. What does VUX stand for?
J. If two lines are parallel, what does this mean?
K. If you are told that two lines are perpendicular, what does this mean?
L. What are the similarities between parallel lines?
M. What is the relationship between two lines that are perpendicular?
Answer:
A) y=mx+b
B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.
C) m= rise/run =y2-y1/x2-x1
D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.
E)The y-intercept of the line is the value of y where the line crosses the y-axis.
F)The x-intercept of the line is the value of x where the line crosses the x-axis.
G) The point-slope formula is y-y1=m(x-x1)
H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant
I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant
J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.
K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees
L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.
M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
than the height, as shown in the diagram below.
L= h +4 and H = h
A. Write a polynomial expression, in simplified form, that represents the area of the
canvas.
Keng adds a 3-inch-wide frame around all sides of his canvas.
B. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame.
Part A
Answer: h^2 + 4h-------------------
Explanation:
We multiply the length and height to get the area
area = (length)*(height)
area = (h+4)*(h)
area = h(h+4)
area = h^2 + 4h .... apply the distributive property
The units for the area are in square inches.
===========================================================
Part B
Answer: h^2 + 16h + 60-------------------
Explanation:
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Similarly, along the vertical side we'd have the h go to h+3+3 = h+6
The old rectangle that was h by h+4 is now h+6 by h+10
Multiply these expressions to find the area
area = length*width
area = (h+6)(h+10)
area = x(h+10) ..... replace h+6 with x
area = xh + 10x .... distribute
area = h( x ) + 10( x )
area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6
area = h^2+6h + 10h+60 .... distribute again twice more
area = h^2 + 16h + 60
You can also use the box method or the FOIL rule as alternative routes to find the area.
The units for the area are in square inches.
The area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, Keng is painting on a rectangular canvas with a width that is four inches longer than the height,
w = h+4, height = h
Area = (length)x(height)
area = (h+4)x(h)
area = h(h+4)
area = h² + 4h
With the frame,
If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.
Keng added a 3-inch-wide frame around the painting,
Therefore,
The h+4 will become h+4+3+3 = h+10
Similarly, along the vertical side = h+3+3 = h+6
Area = (h+10)(h+6) = h²+16h+60
Hence, the area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.
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Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
Aaron is planning to attend a public university after he graduates from high school in 4 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $42,600. His family has promised to contribute $22,500 each year he is in school. What is the minimum amount of money Aaron must contribute to his savings per month for the next 4 years to have enough money to pay for his first year of tuition?
a
$389.52
b
$418.75
c
$298.35
d
$435.85
Answer:
b, 418.57
Step-by-step explanation:
subtract the total his family is contribution from tuition then divide by total months remaining
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