Answer:
The length is 16 and the width is 19.
Step-by-step explanation:
We'll represent width with the letter w, and length with l.
w = l + 3
The perimeter is all four sides, so perimeter = 70ft = (2w) + (2l)
We will replace w with l + 3.
70 = 2(l + 3) + (2l)
2 (l + 3) = (l + 3) + (l + 3)
and 2l = l + l, so
70 = l + 3 + l + 3 + l + l = 4l + 6
We subtract 6 from both sides.
64 = 4l
then we divide both sides by 4
16 = l
Remember width = length + 3, so
16 + 3 = w
19 = w
Just to check:
2(length) + 2(width) = perimeter
2(16) + 2(19) = 70
32 + 38 = 70
Find all factors of 18. Then, write the prime factorization of 18 and all its factors
Answer:
18 = 2 x 3²
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Prime factorization: 18 = 2 x 3 x 3
Find the average rate of change of the functionf(x)=(12)x+12 over the interval [0, 1]
We know that f(x) = 12x + 12
f(1) = 12 * 1 + 12= 24
f(0) = 12*0 + 12 = 12
The formula of the average rate of change is : f(1) - f(0) / (1 - 0)
(24 - 12) / 1 = 12/1 = 12
So the average rate of change is 12
Good Luck
picture below just look
Answer:
y = 2(x-5)(x+2)
Step-by-step explanation:
First make points out of the number!
(5,0), (-2,0), and (0,-20)
Plug it into this, p and q being the roots
y=a(x-p)(x-q) ---> y=a(x-5)(x+2)
Now plug in x and y from our y-intercept
-20 = a(0-5)(0+2) --> -20 = -10a ---> 2 = a
Now plug in "a" in orginal equation
y = 2(x-5)(x+2)
One book cost $8.00. How many books can i buy with $42.00?
Answer:
around 5 books
Step-by-step explanation:
hope this helpsss :D
What is the length of AB
Answer:
12.64
Step-by-step explanation:
cos 53 = Adjacent side/Hypotenuse
cos 53 = Adjacent side/21
21 * cos 53 = (Adjacent side/21) * 21
21 cos 53 = Adjacent side
Adjacent side (AB) ≈ 12.64
Find the value of Y - triangle measurments
PLEASE HELP! GIVE BRAINLIEST!
Adjacent angles will be same
[tex]\\ \sf\longmapsto <N=<P[/tex]
[tex]\\ \sf\longmapsto 6y=8y-16[/tex]
[tex]\\ \sf\longmapsto 8y-6y=16[/tex]
[tex]\\ \sf\longmapsto 2y=16[/tex]
[tex]\\ \sf\longmapsto y=8[/tex]
Answer:
[tex]y = 8[/tex]
Step-by-step explanation:
If two sides of a triangle is equal the opposite interior angles are also equal.
Therefore,
[tex]6y = 8y - 16 \\ 16 = 8y - 6y \\ 16 = 2y \\ \frac{16}{2} = \frac{2y}{2} \\ 8 \degree = y[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Select the final image of AABC after the given sequences of transformations. Translate AABC by (4,4),
rotate 90° counterclockwise around A, and reflect over the y-axis.
Answer:
Step-by-step explanation:
given A(-1, 2), B(-3, 4), C(-2, 5)
after translating by (4, 4)
points are A(-1 + 4, 2 + 4), B(-3 + 4, 4 + 4), C(-2 + 4, 5 + 4)
A(3, 6), B(1, 8), C(2, 9)
to rotate 90° counter clockwise (x, y) ----> (-y, x)
now it is rotated around point A(3, 6).That means A remains same and we need to find new coordinates of B and C. To find B and C let us make origin as A and find B ,C coordinates from it.
B'(1 - 3, 8 - 6) = (-2, 2)
C'(2 - 3, 9 - 6) = (-1, 3)
now it becomes (-y, x)
B'(-2, -2)
C'(-3, -1)
now we have to move origin from (3,6) to (0,0) again.
so B'(-2 + 3, -2 + 6) = (1, 4)
C'(-3 + 3 , -1 + 6) = (0, 5)
now reflection over y axis means (x, y) --> (-x, y)
A'(-3, 6)
B'(-1, 4)
C'(0, 5)
it is different from the options
but this is the process, tell me if you find any step different from the question
see the figure below
Simplify 20/64 help pls
Answer:
5/16
Step-by-step explanation:
BRAINIEST answer this question and I'll give you brainiest
Answer:
C: 16 is a constant
B:3
A: 4
Answer: C: 16 is a constant
B:3
A: 4
Step-by-step explanation:
1. The ratio of children to adults at a swimming pool is 8:3. If there are 40 children at the pool, how many people are at the pool?
Answer:
55
Step-by-step explanation:
You multiply 5 on both sides of the ratio, and you get 40 children : 15 adults. Adding that up, you would get 55 people.
Answer:
Step-by-step explanation:
Write and solve an equation of ratios. The given ratio is 8:3. The number of children is 40 and that of adults is 40 - c. Note that c + (40 - c) = 40.
Solve the following equation of ratios for c: 8 40
---- = ----------
3 a
Cross multiplying, we get 8a = 120, of 15. Then a = number of adults = 24.
Here a = 15 and c = 40. Check the ratio 40/15; does it equal 8/3? YES
The total number of people at the pool is 40 + 24, or 64
consider these functions:
f(x)=3x-7
g(x)=x+1/x-1
what is the value of f(g(3))
a. -1
b. 0
c. 3
d. 5
Answer:
Step-by-step explanation:
g(3)= (3+1)/(3-1)= 4/2= 2
f(2)= 3(2)-7 = 6 - 7 = -1
answer is a. -1
The prime
factorizations of A and B are shown. Find the
value of n that needs to be listed as a prime
factor of B so that the greatest common factor
(GCF) of A and B is 9.
Prime factorization of A: 3 x 3 x3
Prime factorization of B: 2 x 2 x 3x n
9514 1404 393
Answer:
n = 3
Step-by-step explanation:
In order for 3 × 3 = 9 to be a factor of both numbers, we must have ...
n = 3
Please help me solve this problem
Answer:
what is it
Step-by-step explanation:
On Halloween 18 pirates came to my door to trick or treat. 9 of the pirates had cutlasses 11 of the pirates had eyepatches 3 of the pirates neither cutlasses nor eye patches. How many pirates had both cutlasses and eye patches?
Answer:
9
Step-by-step explanation:
Well since 11 of the pirates had eyepatches, and 11 is greater than 9, all 9 of the pirates that had cutlasses had eyepatches as well. I don't know if this is completely correct but it's the only thing that makes sense to me.
Which of the following describes angle b? B=98degrees. A - Acute B - Obtuse C - Right D isosceles
9(a+2)=9
con comprobación plisss!!
Answer:
9a+18=9
9a=-9
a=-1
Step-by-step explanation:
The measure of an angle is 22° greater than it’s complement. Find the angle
Answer:
56
Step-by-step explanation:
Let the angle be " x ".
Complement of the angle = ( x - 22 )
To find : x = ?
x + x - 22 = 90
2x - 22 = 90
2x = 90 + 22
2x = 112
x = 112 / 2
x = 56
Therefore, the angle is 56.
The sum of the measure of the angles in triangle ABC is 180 degrees. The sum of the measures of angle B and angle C is twice the measure of angle A. The measure of angle B is 32 degrees less than the measure of angle C.
Answer:
[tex]a=60\\b=44\\c=76[/tex]
Step-by-step explanation:
You can write these equations to represent the problem:
[tex]a+b+c=180\\b+c=2a\\b=c-32[/tex]
Now, just solve it as a system of equations. I'll solve by substitution, starting from the bottom as b is already defined there.
[tex]b=c-32\\b+c=2a\\(c-32)+c=2a\\c+c-32=2a\\2c-32=2a\\a=c-16[/tex]
That's the middle equation done, now I'll do the top one:
[tex]b=c-32\\a+b+c=180\\a+(c-32)+c=180\\a+2c-32=180\\a+2c=212\\a=-2c+212[/tex]
Now we have just 2 equations with 2 variables. That's another system of equations, but this one is much easier to solve. Using substitution again:
[tex]a=c-16\\a=-2c+212\\c-16=-2c+212\\3c-16=212\\3c=228\\c=76[/tex]
Finally, we have one variable solved. Using the value of C, now we can solve for A:
[tex]c=76\\a=c-16\\a=76-16\\a=60[/tex]
Thats 2 done. Now, pick any equation that has all 3 variables and solve for B:
[tex]a=60\\c=76\\a+b+c=180\\60+b+76=180\\b+136=180\\b=44[/tex]
All 3 variables done.
[tex]a=60\\b=44\\c=76[/tex]
Now, we can confirm that they're correct by checking with the original equations:
[tex]a+b+c=180\\60+44+76=180\\180=180\\\\b+c=2a\\44+76=2(60)\\120=120\\\\b=c-32\\44=76-32\\44=44[/tex]
They all work fine.
Solve for y
6 = 4x + 9y
Answer:
-4/9
Step-by-step explanation:
solve for x using parallel lines and angles
Answer:
x = 20
Step-by-step explanation:
The 2 given angles are adjacent on a straight line and sum to 180° , then
123 + 2x + 17 = 180
140 + 2x = 180 ( subtract 140 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Pls help me with this it for my sister
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
g(x) = (x - 1)³
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) is the graph of f(x) shifted 1 unit to the right , then
g(x) = (x - 1)³
A student bought a hot dog and juice for $3.75. If she had bought two hot dogs and three juices she would had paid $9.00. Calculate price of a hot dog and a juice
Answer:
hot dog= $2.25
juice= $1.50
Step-by-step explanation:
Let the price of a hot dog be $H and that of a juice be $J.
H +J= 3.75 -----(1)
2H +3J= 9 -----(2)
(1) ×2:
2H +2J= 7.5 -----(3)
(2) -(3):
2H +3J -(2H +2J)= 9 -7.5
Expand:
2H +3J -2H -2J= 1.5
J= 1.5
Substitute J= 1.5 into (1):
H +1.5= 3.75
H= 3.75 -1.5
H= 2.25
∴ The price of a hot dog and a juice is $2.25 and $1.50 respectively.
MFERS PLEASE HELP IMAO
Answer:
A)
6x - y = 8
3x + 2y = 9
(Graph is attached for you⤴⤴⤴)
Step-by-step explanation:
Line m ordered pairs = (-4,-32), (2,4),
(5, 22)
Line n ordered pairs = (-5,12), (1,3), (5,-3)
Use this formula⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
For line m, we'll use (2,4) and (5,22):
22 - 4 = 18
5 - 2 = 3
18 ÷ 3 = 6
Slope of line m = 6
For line n, we'll use (1,3) and (5,-3):
-3 - 3 = -6
5 - 1 = 4
Slope of line n = -6/4 or -3/2
We'll turn all the options to slope-intercept form, so we can tell which has the slopes we need.
A) - Subtract 6x on both sides to get
-y = -6x + 8, then flip all the signs to get y = 6x - 8.
- Subtract 3x on both sides to get 2y = -3x + 9, then divide 2 on both sides to get y = -3/2 x + 9/2.
B)
- Subtract 6x on both sides to get
y = -6x - 8.
- Subtract 3x on both sides to get
-2y = -3x + 9, then divide -2 on both sides to get y = -3/2 x - 9/2.
C)
- Add 6x on both sides to get -y = 6x - 8, then flip all signs to get y = -6x + 8.
- Add 3x on both sides to get 2y = 3x + 9, then divide 2 on both sides to get
y = 3/2 x + 9/2.
D)
- Subtract 6x on both sides to get
-y = -6x - 8, then flip all signs to get
y = 6x + 8.
- Add 3x on both sides to get -2y = 3x + 9, then divide -2 on both sides to get
y = -3/2 x - 9/2.
Hope this helps :)
Converting Measurements between Systems
Answer:
kikjnknj
Step-by-step explanation:
48,184 divided by 152
Answer:
317 is the finally awnser
The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b
represent the number of bracelets and n represent the number of necklaces. This situation can be represented by
the system of equations below.
Answer:
2b + 3n = £15.50
4b + 1n = £13.50
2 ( 2b + 3n = 15.50 )
4b + 6n = 31.00
4b + 6n = 31.00
- 4b + 1n = 15.50
5n = 15.50
n = 3.1
subtitue n in to the equation
2b + 9.3 = £15.50
2b = £6.20
b = 3.10p
Step-by-step explanation:
both the bracelets and necklace cost £3.10
The cost of one bracelet is $2.50
How much is the cost of one bracelet?b = cost of the bracelet
n = costs of necklace
⇒ 2b + 3n = 15.50
⇒ 4b+1n = 13.50
Multiply the first equation by -2
⇒ -4b - 6n = -31
⇒ 4b + n = 13.50
---------------------------
-5n = -17.50
--------------------------
Divide each side by -5
⇒ -5n / -5 = -17.5 / -5
⇒ n = 3.50
Now we can find b
⇒ 4b + n = 13.50
⇒ 4b + 3.50 = 13.50
⇒ 4b + 3.50 - 3.50 = 13.50 -3.50
⇒ 4b = 10
Divide by 4
⇒ 4b / 4 = 10/4
⇒ b = 2.50
The cost of one bracelet is $2.50.
A system of equations comprises two or more equations and seeks common solutions to the equations.
Learn more the system of equations about here: brainly.com/question/14323743
#SPJ2
If f(x) varies directly with x, and f(x) = 36 when x = 9, find f(x) when x = 5.
23
22
21
20
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
What is the slope and Y-intercept of this graph below?
Y-intercept - 4
Slope - 3
Slope intercept form - y=3x + 4
Hope it's correct and it helped:)
Four bottles of wool will make eight knitted caps. How many balls of wool will Malcolm need if he wants to make six caps?