Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
Is , divisible by , , , , , , or 0?
92
7683
What the answer
Answer:
9
Step-by-step explanation:
find the length of side a
Answer:
Step-by-step explanation:
Answer:
the anser wouold be 5
Step-by-step explanation:
1 is too small 25 is too big 313 is out rageesty to big
HelP I have to turn this in tomorrow!!!
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.
Answer:
[tex]-21 < 109[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$109[/tex]
[tex]Checking = -\$21[/tex]
Required
Represent as an inequality
On a number line -21 comes before 109 (from left to right)
This means that -21 is smaller/lesser than 109.
So, the inequality that compares the two account values is:
[tex]-21 < 109[/tex]
Which table does NOT represent a linear function?
Answer:
table 4 does NOT represent a linear functionStep-by-step explanation:
HOPE IT HELPS ❤❤❤❤❤Answer:
it's the one with 15,18,20,21
Step-by-step explanation:
Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant
Which inequality is graphed on the coordinate plane?
Answer:
B
Step-by-step explanation:
The slope is 4/1 which equals 4
the y int is 2
this gives us 4x+2
the line is dotted which mean there is no equal sign with the inequality
The shaded area is above the line, meaning y is greater
VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me
what equation represents the line shown on the graph
Answer:
y = - x + 2
Step-by-step explanation:
the slope is negative, so eliminate choice 2 and 3.
the y intercept is 2 and the slope is -1, hence the answer is choice 4
(4x−3)(3x+6) how can i find the terms
Step-by-step explanation:
(4x-3)(3x+6)
4x(3x+6)-3(3x+6)
12x+24-9x-18
12x-9x+24-18
3x+6
x=6/3
x=2
A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?
(A) 4/5
(B) 9/4
(C) 9/13
Answer:
(C) 9/13
Plzzzzz give me Brainliest!!!!!
Answer:
C. 9/13
Step-by-step explanation:
It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously
Between afternoon and evening, the temperature dropped by 8 degrees. The weather forecast predicted that the evening temperature would be lower than -12 degrees F.
Write an inequality for this situation where t represents the temperature. *
Answer: t-8 < -12
Step-by-step explanation:
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
-4 + -7 ?
HELLPP
Can somebody explain to me please
Answer:
−4−7
=−4+−7
=−11
Step-by-step explanation:
if its the same sign add, different signs keep the sing of the larger number
There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?
Answer:
by taking Hcf of 96 and 72 we get 4 so each team have 4
'24' teams can be made with each team having 4 girls and 3 boys.
Given that,
No. of girls = 96
No. of boys = 72
Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.
96 = 2 * 2 * 2 * 2 * 2 * 3
72 = 2 * 2 * 2 * 3 * 3
GCF = 2 * 2 * 2 * 3 = 24
Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:
No. of girls in each team = Total girls/no. of teams
= 96/24
= 4 girls
No. of boys in each team = Total boys/no. of teams
= 72/24
= 3 boys
Thus, each team will have 4 girls and 3 boys.
Learn more about 'Greatest Common factor' here:
brainly.com/question/1983426
At a sale, you purchased a $20 scarf for $15. What
was the percent of change?
Part 3 of i need these
Answer:
x=11
a=116°
b=29°
c=35°
hope is helpful
(05.05) Which of the following inequalities matches the graph? (1 point)
Answer: Choice A. [tex]x \le -7[/tex]
=====================================================
Explanation:
Every point in the shaded region has an x coordinate that is equal to -7 or smaller.
Example points include
(-8, 0)(-10, 2)(-9, -5)The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.
3x - 4y = 44
can someone help me get Y by it self
Answer:
y= 3 /4 x−11
Step-by-step explanation:
3x - 4y = 44
Add -3x to both sides.
3x−4y+−3x=44+−3x
−4y=−3x+44
Divide both sides by -4.
−4y /−4 = (−3x+44 )/−4
y= 3 /4 x−11
Please helpoppplllll mei need to complete this I will give brainly
Answer:
(5,-6) I think
Step-by-step explanation:
x-y=5 and x+y=-10 is this parallel, perpendicular, or neither?
Answer:
Its perpendicular
Step-by-step explanation:
You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.
A new tablet was originally $180. It was on sale for 10% off the original price. The amount of the tablet after 10%
Answer:
$162
Step-by-step explanation:
10% of 180 is 18
180-18=162
(-6.5)
( 7, 5)
What is the slope
Answer:
m = 0
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]
Hope this helps
Katie invested a total of $4000, part at 2% simple interest and part at 3% simple interest. At the end of 1 year, the investments had earned $90 interest. How much was invested at each rate?
Answer:
$3000
$1000
Step-by-step explanation:
the formula for simple interest = principal x time x interest rate
let the amount invested in the 2% investment be a
let the amount invested in the 3% investment be (4000 - a)
(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90
0.02a + 120 - 0.03a = 90
Collect like terms and solve for a
0.01a = 30
a = $3000
The amount invested in the 3% investment be (4000 - a) = $4000 - $3000 = $1000
I NEED HELP PLEASE !!!!!
Answer:
75°
Step-by-step explanation:
Find the difference between the angles.
112 - 37 = 75
please answer this question I would highly appreciate it if it was answered or looked on, please
Answer:
The correct answer would be C
Step-by-step explanation:
Here is a rectangle ABCD.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answer:
it will increase 5 percent
Answer:
8%
Step-by-step explanation:
Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer at the senior center on both days?
Answer:
Saturday 3 9/10 hours = 60/10 = 6, 6 X 9 =54
3 hours 54 mins
Sunday 5 1/6 hours = 60/6 = 10, 10 X 1 = 10
5 hours 10 mins
3 hrs 54 mins + 5 hrs 10mins = 9 hrs 4 mins
Answer:9 4/10
Step-by-step explanation:
A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?
Answer:
t=9.40865\approx 9.4 \text{ years}
t=9.40865≈9.4 years
Step-by-step explanation:
help me please..... :))