Answer:
Original rectangle
Length = 20 inches
Width = 10 inches
Step-by-step explanation:
Let
Original rectangle
Width = x
Length = 2x
When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches
New rectangle
Width = x + 5
Length = 2x + 5
Perimeter = 80 inches
Perimeter of a rectangle = 2(length + Width)
80 = 2{(x+5) + (2x+5)}
80 = 2( x + 5 + 2x + 5)
80 = 2(3x + 10)
80 = 6x + 20
80 - 20 = 6x
60 = 6x
x = 60 / 6
= 10
x = 10 inches
The length and width of the original rectangle
Width = x
= 10 inches
Length = 2x
= 2(10)
= 20 inches
A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?
Answer:
588
Step-by-step explanation:
Because 7x21=147 then you take 147x4 and that equals 588 seats
2
Find the equation of a parabola with a vertex at (2, 4) and a known point at (-5, 2).
f (x) =
Answer:
f(x) = -²/₄₉(x - 2)² + 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex is (2, 4) so p = 2, q = 4
so:
f(x) = a(x - 2)² + 4
the parabola goes through the point (-5, 2) so x=-5, f(x)=2
2 = a(-5-2)² + 4
- 2 = a(49)
a = -²/₄₉
Therefore the equation of the parabola in vertex form:
f(x) = -²/₄₉(x - 2)² + 4
Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?
Answer:
It equals -2
Step-by-step explanation:
On the first play, Calob gained 11 yards. But
during the second play he lost 4 yards. He
gained 3 yards on the third play. Which
expressions represent this situation?
Answer:
-12 + 5(3) = total yards at the end
So your answer would be 3 yards
Step-by-step explanation:
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
[tex]6y + 13y - 10 = 180[/tex]
[tex] 19y - 10 = 180[/tex]
[tex]19y = 180 + 10[/tex]
[tex]19y = 190[/tex]
[tex]y = \frac{190}{19} [/tex]
[tex]y = 10[/tex]
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
[tex]60 + 9x + 12 = 180[/tex]
[tex]9x + 72 = 180[/tex]
[tex]9x = 180 - 72[/tex]
[tex]9x = 108[/tex]
[tex]x = \frac{108}{9} [/tex]
[tex]x = 12[/tex]
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500
Answer:
c
Step-by-step explanation:
bc
if there is 1$ in taxes on 25$ worth of clothing, what percent is paid for the 25$ in clothing?
Answer:
Well it would be 4 percent
Step-by-step explanation:
Thinm of it this way, if you mutliply 25 times 4 it equals 100 then mulitply then 1 dollar by 4 getting 4 dollars worth of tax making it 4 percent of the total ckst
The other answer on the red box is 7.
Answer:
8
Step-by-step explanation:
that is an isosceles triangle. they have 2 sides that are the same
8*4 is 32+7 is 39
9*8 is 72-33 is 39
Evaluate the following . 3^7 x 3^4
Answer:
Step-by-step explanation:
This is about the rules of indices.
Multiplication of number with powers are addition for example:
a^n × a^m = a^n+m
So 3^7 × 3^4
3^7+4
3^11
Adiosss
By the way if I'm wrong let me know
Answer:
3^11 or 177147 or 1.77147x10^5
Step-by-step explanation:
7+4=11
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m2 = m3
none
Correct answer is C) none
I did the assignment, the other answer is incorrect.
Write in simplest form. 12/15 Divided by 4/9
Answer:
9/5
Step-by-step explanation:
12/15 / 4/9
12/15 * 9/4
108/60
54/30
27/15
9/5
Which expression is NOT equivalent to 4 x 3/8
Answer:
yea
Step-by-step explanation:
(x - 9) (x + 1)
Use F.O.I.L to expand
ok f.o.i.l
Farting.On.Iggy.Lucky
Answer:
x²-8x-9 i think?
Step-by-step explanation:
A number increased by
7 is less than 14
Answer:
7
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
x+7 < 15
x < 8
...........
Help me Plzzzzz!! ASAP!
Multiply the polynomials (3x+4)(5x+1)
Answer:
15x^2 + 23x + 4
Step-by-step explanation:
(3x+4)(5x+1)
You put them around a square, like in the picture.
You then cross multiply them.
After that, add all the numbers together.
Hope this helped!
y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither
Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope, in this equation it is a slope of 5.
The given lines are parallel in nature.
What is slope?Numerical measure of a line's inclination relative to the horizontal.
Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.
Given:
y = 5x + 2 and y = 5x – 1
The slope for line 1 is 5.
and, the slope for line 2 is 5.
For, perpendicular line the slope of both lines are negative inverse relation.
But here the slope of both line are same which have parallel nature.
Hence, both lines are parallel in nature.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Angle Pairs Relationships HW
Accessibility Mode
Pictures above
Find the value of each variable
1. A= ?
B= ?
C=?
2. A=?
3. A=?
B=?
C=?
Answer:
Step-by-step explanation:
1. A = 68
B = 112
c = 68
2. A = 127
3. A = 70
B = 55
C = 25
Please help!!!
Geometry
Answer:
estimately 10.3
Step-by-step explanation:
2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.
Answer:
x=20-y
y=20-x
Step-by-step explanation:
divide by 2 on both sides: x+y=20
to find x, subtract y:
x=20-y
to find y, subtract x:
y=20-x
nothing else can be done unless you know either y or x.
Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
fafg and then do the 2a ab 2b
Step-by-step explanation:
The table shows how fast four students ran the 200-meter dash.
200-Meter Dash Results
Student Time (seconds)
Ben 40.53
Katie 34.02
Griffin 29.80
Kristin 44.56
How much faster did Griffin run the 200-meter dash than Ben? Enter your answer in the box.
Answer:
Griffin was 10.73 seconds faster than Ben
Step-by-step explanation:
Here, given the information in the question, we want to know how faster was Griffin than Ben in the race
Mathematically, that will be;
|29.80 - 40.53| = 10.73
This shows that Griffin was 10.73 seconds faster than Ben
Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation
B.How much was Candice paid
(x - 45) / 3 = 192
Let's solve for x to find how much Candice was paid. Multiply both sides by 3
(x - 45) = 576
Add 45 to both sides.
x = 621
Candice was paid $621
Which set of expressions are not equivalent? (4 1/2a + 2) + 3 and 5 + 4 1/2 a
Answer:
not equivalent
Step-by-step explanation:
2a+11
5+9/2a
answer both please :))))
Answer:
Y-intercept (0,4)
X-intercept (0,2)
Step-by-step explanation:
It the point where the line crosses the y or x intercept
the equation for the graph
Y=mx+b
Hope this helps, brainliest pls!
Solve for indicated variable 4y + 3x= 5 for x
Answer:
4y + 15
Step-by-step explanation:
A scale drawing of a playground is shown below.
PLAYGROUND
2.5 in.
KEY
1 in. = 40 ft.
3 in.
1 in.
4.5 in.
Using this scale, what is the area, in square feet, of the playground?
540 square feet
450 square feet
440 square feet
380 square feet
If you read 28 pages a hour how many for hours per 1 page
Answer: 46.7
Step-by-step explanation:
Answer:
1/28
Step-by-step explanation:
[tex]\frac{x}{1}= \frac{1}{28}[/tex]
cross multiply and you get 1/28
please help!!
Find the measure of angle Q and length of QR.
The perimeter of QRS is 344 cm. m
QR= _______
Answer:
[tex]m\angle {Q}[/tex] = 56°
QR = 167
y = 136
Step-by-step explanation: