Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.
Answer:
7/21=3/9
Step-by-step explanation:
7/21=3/9=1/3 - Ratios are basically the same as fractions
Answer:
[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]
[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]
a^4 divided by a^-2
please help
Answer:
hope this helps
Step-by-step explanation:
[tex]a^{6\\}[/tex]
to do this you factor the numerator and denominator and then you cancel the common factors
Slove system of equation.
2x - 6y = 8
-3x + 9y = 12
The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
Learn more about Pythagoras's theorem here:
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Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.
Linear equation:
1/4a+ 1/3 a + 8 = 22
Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?
Answer:
Step-by-step explanation: she can read 15 pages an hour but she read for 2 hours so she read 30 pages
Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answer: i think its D
Step-by-step explanation:
What is the equation of the line shown in the graph?
Answer:
slope-intercept form. y = _ + _ 阿ㄐ高
Step-by-step explanation:
some one please help
Answer:
i can't see the photo
Step-by-step explanation:
pleas send it again
Answer:
Step-by-step explanation:
f(x) = 3-x/5
Explanation:
The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation
y=3x -5
turns into
x = 3y+5
Then solve the equation for y
x=3 y- 5
x+5 = 3y
the divide all by three
1/3x + 5/3 =y
f ( x ) − 1 = 3/1 x + 5/3
make y the subject of the formula
x=13(t-4y) over y
Answer:
make y the subject of the formula
x=13(t-4y)
Step-by-step explanation:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
The subject of the formula for y is y = 13t / x(1 + 52/x).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given the equation as:
x = 13(t - 4y) / y
We have to make y the subject of the formula
x = 13(t - 4y) / y
Cross multiplication to get,
y = 13(t - 4y) / x
y = (13t - 52y) / x
y = 13t / x - 52y / x
Now group the y terms together and we get
y + 52y / x = 13t / x
The factor out the y to get
y(1 + 52/x) = 13t / x
y = 13t / x(1 + 52/x)
Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).
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Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?
Answer:
Ben has 19 marbles
Step-by-step explanation:
First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]
Now we put all of these equations into a set to answer them.
[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]
First we solve for j
[tex]2j = r\\ j=\frac{1}{2} r[/tex]
Then substitute j
[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]
Then simplify and multiply by 2 to even out
[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]
Now eliminate the b variable and combine equations
[tex]2b+3r=140\\-2b+2r=30[/tex]
[tex]5r=170[/tex]
Now divide and solve for r
[tex]5r=170\\r=34[/tex]
Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation
[tex]-b+34=15\\b=19[/tex]
Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well
[tex]j=\frac{1}{2}(34)\\j=17[/tex]
And now we know how much everyone has, to check we rewrite all the equations with their respective numbers
[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]
[tex]70=70\\34=34\\34=34[/tex]
Which means the ordered pairing of (b, j, r) is (19, 17, 34)
slope and y intercept for 2y-8=6x
Answer:
slope = 3
y intercept = 4
Step-by-step explanation:
Rearrange the equation so y is the subject.
1. Add 8 to both sides
2y = 6x + 8
2. Divide both sides by 2
y = 3x + 4
Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.
Anyone got any ideas?
Answer: 36
Step-by-step explanation:
AB = 16 cm
BC = CA = 10 cm
so it's 16 + 10 + 10 = 36
Write equations for the horizontal and vertical lines passing through the point (1,7) .
Answer:
horizontal line: y = 7
vertical line: x = 1
Step-by-step explanation:
Solve for x
5-3x - 1 = 25
Answer: Solve for x
x = -7
Answer:
= − 7
Step-by-step explanation:
5 - 3x -1 = 25
4 - 3x = 25
-3x + 4 = 25
-3x + 4 - 4 = 25-4
An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?
Answer:
sorry hindi amo marunong ng math
The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the cuboid = length × height × width.
The volume of the cube = side³.
Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,
Volume of the box = (L - 2h)² × h
(12 - 2h)² × h = 128
4h(6 - h)² = 128
h(36 + h² - 12h) = 32
h³ - 12h² + 36h - 32 = 0
(h - 2)(h² - 10h + 16) = 0
(h - 2)(h² - 8h - 2h + 16) = 0
(h - 2)(h(h - 8) - 2(h - 8)) = 0
(h - 2)(h - 2)(h - 8) = 0
h = 2,8
Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".
To learn more about volume,
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Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2
Will give brainliest if right
Answer:
y=-5x-12
y=-0.5x-5
y=-0.5x+0.5
y=-4.5x+3
y=-2x+7
y=2.5x+10
Step-by-step explanation:
Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?
Answer:
57 seconds
Step-by-step explanation:
55.7 + 1.3 = 57
Hope this helps!
Answer:
57 seconds
Step-by-step explanation:
Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.
Help me pls i need help
Answer:
I'm pretty sure it is LINEAR.
I may be wrong
Step-by-step explanation:
BRAINLIEST?
Answer:
linear
Step-by-step explanation:
the inputs are not the same.
im not exactly sure, but im taking this lesson and thats what i learned :)
Someone plz help me :(
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
please help and show work
Answer:
Just do scan and solve by brainly really helpful ngl
Step-by-step explanation:
If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?
Answer:
Yes
Step-by-step explanation:
If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:
60 * 3.5 = 210 miles
Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.
3w-4z=8
2w+3z= -6
What is w and z for these two equations?
6. (4. 1) and (1, 4) are on the line
Answer: This is used by
Step-by-step explanation:
pls help!!!!
Sandra uses 6.39 ounces of beans in a recipe. If she triples the recipe, how many ounces of beans will Sandra need?
Answer:
19.17 ounces
Step-by-step explanation:
If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.
Due to that fact we now know what our equation is:
6.39 x 3 which equals 19.17
I hope this helps have great day :)
Answer: 19.17
Step-by-step explanation: 6.39 x 3 = 19.17
Please help and no links!!!!
Answer: 18
Step-by-step explanation:
A line has a slope of 5 and passes through the point (-1,2).
Write the equation in point-slope form.
Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
By point-slope form:
[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
Substitute the values in formula:
y-2=5(x+1) (It is the point slope form)
Now,
Slope intercept form:
y-2=5x+5
y=5x+5+2
y=5x+7
If you need to ask any questions, please let me know.
The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?
2(1×10^2) CAN ANYONE PLEASE PUT THIS IN SCIENTIFIC NOTATION!?
Answer: 2 x 10^2 in scientific notation The answer would be 200
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.