Find the solution to the system of equations
−8x+9y=−21
-3x+9y=−36
Answer:
(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation
Each box is 20 inches long, 30 inches wide, and 20 1/2 inches in hieght.
What is the volume of the box?
Answer:
Volume = 12,300
Step-by-step explanation:
20 x 30 = 600
600 x 20.5 =12300
Answer:
Volume of the box is length ×breadth×height
[tex]20 \times 30 \times 20 \frac{1}{2} \\ = 600 \times \frac{41}{2} \\ = 12300[/tex]
12300 inches cube is the right answer.What is the vertex of the function f(x) = 2+3x+ 3/2
Answer:
0=2+3x+3/2
0=7/2+3x
-3x=7/2
divide by -3 on both sides
x=-7/6
hope this helps
Step-by-step explanation:
PLEASE ANSWER THIS IN SLOPE INTERCEPT FORM!!!
Answer:
The answer is
[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]
What is –2 5/12 written as a decimal?
what's 5x5800000000000000000000000000 help
Step-by-step explanation:
so why you are asking?????
Terry drove 228 miles in 6 hours at a constant speed. How long would it take him to drive 285 miles at the same speed?
Answer:
7.5 hours
228 ÷ 6
38 × 7.5 = 285
Catty Couture is a company that make designer socks for cats.
134 cats are waiting for their socks to be made.
How many socks is this in total?
Answer:
536
Step-by-step explanation:
4 paws on each cat, multiply by the amount of cats = 536
ABC is a triangle.
B
х
5.6 cm
9.3 cm
50°
Α'
78°
D
С
Work out angle x.
Give your answer correct to 3 significant figures.
Answer: 50.5
Step-by-step explanation:
If it’s mathswatch you don’t need an explanation just type in the answer it gives you all the marks <3
The value of the angle,x=50.531°. The angle is obtained by the sin law.
What is the triangle?A triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
From the sin rule;
[tex]\rm \frac{AB}{sin \angle ACB} =\frac{BC}{sin \angle BAC} \\\\ \rm \frac{5.6}{sin \angle ACB} =\frac{9.3}{sin \angle 50^0} \\\\ \angle ACB=27.49^0[/tex]
For the same angles;
[tex]\rm \angle ACB=\angle BCD[/tex]
From the exterior angle theorm ;
[tex]\rm \angle BCD+\angle CBD= \angle ADB[/tex]
∠CBD=x
∠ABD=78°
Putting the obtained values;
27.469°+x=78°
x=78°-27.469°
x=50.531°
Hence,the value of the angle,x=50.531°.
To learn more about triangle refer;
https://brainly.com/question/25813512
#SPJ2
If the population in Charleston, SC grew exponentially from 90,620 people in 1990 to 120,083 people in 2010. Write a function to model Charleston's population from 1990 to 2010 assuming the population grew at a constant growth rate during that time period where P (population) is a function of time, t, (where t represents t).
What is the rate?
What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38
Answer:
[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]
please help me i need help quick plz
Answer:
Step-by-step explanation:
L is 11
H is 48
Q2 = (32 + 33) / 2 = 32.5
Q1 is 23
Q3 is 46
2) The distribution is skewed right
hope this helps :)
simplify 1/2 (4x+2) - (-2x)
Answer:
4x + 1 is the simplified expression
Step-by-step explanation:
We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.
The first step involves mulitplication and distribution property:
1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)
2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).
Bow the expression is almost simplified as it is:
2x + 1 -(-2x)
The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:
3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.
4) Now we know that -(-2x) is the same as: + 2x.
5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.
Hope you understood this and have a nice day!
WILL GIVE BRAINLIEST!!!
What is the approximate average rate of change for f(x) = 20(0.5) from
x = 2 to x = 2?
Answer:
It is: (f(2) - f(0))/(2 - 0)
f(2) = 250(0.5)(2) = 250
f(0) = 250 (0.5)(0) = 0
So: (250 - 0)/(2 - 0) = 250/2 = 175
The average rate of change is 175.
Step-by-step explanation:
HELP HELP HELP HELP Pi =?
Answer:
Pi = 3.14159265359
Step-by-step explanation:
3.14159, this is π
Followed by 2-6-5-3-5-8-9
Circumference over diameter
7-9, then 3-2-3
OMG! Can't you see?
8-4-6-2-6-4-3
And now we're on a spree
38 and 32, now we're blue
Oh, who knew?
7, 950 and then a two
88 and 41, so much fun
Now a run
9-7-1-6-9-3-9-9
Then 3-7, 51
Half way done!
0-5-8, now don't be late
2-0-9, where's the wine?
7-4, it's on the floor
Then 9-4-4-5-9
2-3-0, we gotta go
7-8, we can't wait
1-6-4-0-6-2-8
We're almost near the end, keep going
62, we're getting through
0-8-9-9, on time
8-6-2-8-0-3-4
There's only a few more!
8-2, then 5-3
42, 11, 7-0 and 67
We're done! Was that fun?
Learning random digits
So that you can brag to your friends
on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?
Answer:
slope is zero
Step-by-step explanation:
zero slope is neither positive or negative; it indicates no change whatsoever
help me, please............
Answer:
reflected over the y axis
Mark: 1.00
The volume of a cuboid is 140 cm
The area of its base is 88 cm2. Then
its height is
5cm
6 cm
8 cm
7 cm
Volume of cuboid =l×b×h
area of base of the cuboid =l×b
hence
volume of cuboid is = area of base × height
140=88×h
h=140÷88
h=5
Which inequality is represented by the graph?
t > -2
t < -2
t ≤ -2
t ≥ -2
Answer:
t > -2
Step-by-step explanation:
Since the graph is not continuous at -2, thus it is not included!
A person deposited Rs 60000 in a bank for 2 years at the rate of 10%pa compounded annually.But after one year,bank has changed the policy and decided to pay semi-annual compound interest at the same rate.What is the percentage difference between compound interest of first year and second year?
Answer:
[tex]1.159\%[/tex]
Step-by-step explanation:
Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].
Rate or R [tex]=10\%[/tex] per annum compounded annually.
Time or T [tex]=2[/tex] years.
To find: Percentage difference between compound interest of first year and second year.
Solution:
First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].
First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].
For the second year, the interest is compounded semi-annually.
So, time is doubled and the rate is halved.
Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].
Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].
Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].
Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].
Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].
Mom buys a rectangular rug with an area of LaTeX: 7\frac{1}{6}7 1 6 square meters. The length of the rug is LaTeX: 3\frac{1}{3}3 1 3 meters. What is the width of the rug?
Answer:
2 3/20 metres
Step-by-step explanation:
Area of the rug = Length × width
Given
Area = 7 1/6 metres = 43/6 m
Length = 3 1/3 metres = 10/3 m
Required
Width
From the formula
A = LW
W = A/L
Substitute the given values
W = 43/6÷10/3
W = 43/6×3/10
W = 43/2 ×1/10
W = 43/20
W = 2 3/20 m
Hence the width of the rug is 2 3/20 metres
Answer:
32
Step-by-step explanation:
7 x 6 is 32 so u get that
if 3x - 6.59 = 11.41 what is the value of x
Answer: x = 6
Step-by-step explanation:
3x - 6.59 = 11.41
Add 6.59 to both sides
3x = 18
Divide both sides by 3
x = 6
Hope that helped!
Answer:
I have the same question,
Step-by-step explanation:
Put these expressions in order of size, from smallest to larg-
est, when a = 3 and b = 5.
46
3
2a + 3b
Answer:
that hiw you do it .hope it helps
ask me if you don't understand something
Step-by-step explanation:
thankyou...
11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?
A. octagon
B. decagon
C. hexagon
D. pentagon
Answer:
the answer is a octagon that has rotation of 45degrees
hi can you guys help with this ? thx
Answer:
a) 13%
b) 45%
c) 16%
Step-by-step explanation:
To calculate what percentage is one number (a) of another (b), you have to divide a by b and then multiply result by 100. In this case number of students with grade A is 4, total number of students is 31, therefore 4/31 * 100 = 12.9%. Rounding it to the nearest percentage will give you 13.
Just repeat the same steps for the remaning questions.
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
Learn more about prism here; https://brainly.com/question/24606047
What are the Slope and y- Intercept of the graph y= -4x - 5
Answer:
slope: -4, y intercept: (0, -5)
Step-by-step explanation:
can someone help me please?
Answer:
72/100
Step-by-step explanation:
The graph of an equation drawn through which two points would best represent the
relationship between the number of miles and the cost of the trip?
Plis helppp
Answer:
The answer is A
Explanation:
I just took this quiz.
please help me please will give brainliest to anyone who is good
Answer:
C
Step-by-step explanation:
N = st
Number of toothpicks = (number of students) x (toothpicks)
D.
Step by step explanation