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
Which of the following describes angle b? B=98degrees. A - Acute B - Obtuse C - Right D isosceles
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
Pls help me with this it for my sister
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 :)
Four bottles of wool will make eight knitted caps. How many balls of wool will Malcolm need if he wants to make six caps?
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
Please help me solve this problem
Answer:
what is it
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.
Converting Measurements between Systems
Answer:
kikjnknj
Step-by-step explanation:
48,184 divided by 152
Answer:
317 is the finally awnser
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.
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
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:
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.
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
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
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 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:)
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 :-)
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)
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:
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
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
9(a+2)=9
con comprobación plisss!!
Answer:
9a+18=9
9a=-9
a=-1
Step-by-step explanation:
Solve for y
6 = 4x + 9y
Answer:
-4/9
Step-by-step explanation:
Simplify 20/64 help pls
Answer:
5/16
Step-by-step explanation:
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.
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
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
