Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/tex]
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
find the value of x and y
Answer:
5 = y
6.5 = x
Step-by-step explanation:
Since all the angles are the same, you can determine that all the sides are the same lengths.
8 = y + 3
8 - 3 = y
5 = y
8 = 2x - 5
8 + 5 = 2x
13 = 2x
13/2 = x
6.5 = x
Answer:
2x - 5 = 8
+5 +5
2x = 13
Divide by 2 on both sides:
X = 6.5
Y + 3 = 8
-3 -3
Y = 5
They must equal 8 since all sides are the same.
use the picture to find each of the following
[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]
[tex] \large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}[/tex][tex] \large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}[/tex][tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]
[tex] \large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}[/tex][tex] \large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}[/tex][tex] \large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}[/tex]
[tex] \large{ \tt{✺ \: TIPS} }: [/tex]
If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]
https://brainly.com/question/17147541ツ Hope I helped! ♡
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A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.
Answer:
the height of a square pyramid is 139.3 cm
1. Find the value of y when x = 3.
y = 3(x+7) + 12
Sonya worked as a dog walker for $9.30 per hour and worked 20 hours each week. Later that year she moved and had to get a new job. Her new job was washing dishes. She was paid $7.50 per hour working 40 hours each week. What is the difference in income per week between the dog walking and dishwashing jobs.? *
Answer:
She makes $114 more doing dishes.
Step-by-step explanation:
(9.30x20)-(7.50x20)
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
How many blocks having 2m² volume of each are there in a wall having volume 600m³?
9514 1404 393
Answer:
300 blocks
Step-by-step explanation:
The number of blocks is ...
(600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks
What is the estimate of 35214
Answer:
4000
Step-by-step explanation:
PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU
Answer:
-2 2/5
Step-by-step explanation:
What is the length of the missing leg?
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
i need the answer!!! please
Answer:
sinx = e/f
cosx = d/f
tanx = e/d
Step-by-step explanation:
soh cah toa
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT
What are the zeroes of f(x) = x2 − 2x − 3?
x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1
Answer:
x=3 x = -1
Step-by-step explanation:
f(x) = x^2 − 2x − 3
Set the function equal to zero
0 = x^2 − 2x − 3
Factor
What two numbers multiply to -3 and add to -2
-3 *1 = -3
-3+1 = -2
0 = (x-3)(x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x = -1
PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP.
Answer:
Slope: 2
This is because it is going up two blocks within one block space.
Feel free to mark it as branliest :D
gradient = 2
Rise over Run = 5 / 2.5 = 2
NEED HELP PLSSSS I DONT KNOW THE ANSWER
Answer:
[ 3 , ∞ ) Set-Builder Notation:
{ x | x ≥ 3 }
Step-by-step explanation:
Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help
Answer:
Loss of $.35
Step-by-step explanation:
Income per t-shirt = 1302/120 = 10.85
Expense per t-shirt = 1344/120 = 11.20
Loss per t-shirt = 11.20 - 10.85 = .35
Please HELP ME ASAP quick
3 trips-
2 * 2 = 4
3 * 2 = 6
5 * 2 = 10
Therefore, working together, the squirrels would only collect 20 acorns during two trips.
This means they would need to take three trips to collect 24 acorns with a remainder of 6 acorns.
2 * 3 = 6
3 * 3 = 9
3 * 5 = 15
30
30-24 = 6
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answer:
IDENTITY PROPERTY i hope it is helpful plz marks me branily9514 1404 393
Answer:
Identity Property
Step-by-step explanation:
The identity property of addition is illustrated.
The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.
determine the value of x
Answer:
12x-4 =80
12x =84
x. =7 ,,
Which other parts must be equal for triangle ABC= triangle MTR by
Answer:
see below
Step-by-step explanation:
ASA stands for Angle-side-Angle
thus, for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle C \cong \angle R[/tex]
SAS stands for Side-angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \overline{ MR }\cong \overline{MT}[/tex]
likewise,
AAS stands for Angle-Angle-Side
thus,for ∆ABC[tex]\cong[/tex]∆MTR
[tex] \displaystyle \angle M \cong \angle T[/tex]
Subtract 14pqr − 2qrs + 10prs from 6pqr - 5qrs - 7prs
Help needed and quick!!!!!!
Answer:
- 8pqr - 3qrs - 17prs
Step-by-step explanation:
(6pqr - 5qrs - 7prs) - (14pqr − 2qrs + 10prs) = (6pqr - 14pqr) + (-5qrs - - 2qrs) + (-7prs - 10prs)
= - 8pqr - 3qrs - 17prs
What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.
Answer:
3rd one
Step-by-step explanation:
The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
If they played 43 games, how many did they lose?
А.
36
B. 32
C. 28
D. 24
E. 20
Answer:
a.36
Step-by-step explanation:
tie is not sure of winning or lose
so,5 tied may consider as lose too
If A and B are supplementary angles and A is times as large as B, find the measures of A and B.
Long division method of 47089. What’s the square root of 47089 in long division method? Do write it in simple way please.
Answer:
use math.way
Step-by-step explanation:
What is the slope of the line?
PLEASE HELP!
Answer:
0
Step-by-step explanation:
horozontal lines are always 0
i hope im not wrong, sorry if i am but im 90% sure im right
Look at the two 2s in this number
Answer: What number?
Step-by-step explanation:
Answer:
In what number... is this a trick question or did you just not finish your question??
Step-by-step explanation:
Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]
Answer:
17
Step-by-step explanation:
the following equation can be derived from the question
7 = 1/3(4 + n)
multiply both sides of the question by 3
21 = 4 + n
combine like terms
21 - 4 = n
n = 17