Answer:
27
Step-by-step explanation:
Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:
x - 4 + 3x - 4 + 4 = 32
4x - 4 = 32
4x = 36
x = 9
Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.
Answer:
27
Step-by-step explanation:
Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
Find the value of Y.
What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?
Answer:
The area of the rectangle would be 20 square units.
Step-by-step explanation:
The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle. The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.
Answer:
Area = 20
As B = -4
Where -3-1 = -4
We look at x for first measure = -8 -3 = 5
We look at y first sequence change for second measure = -B
x/y = -3-8 /-8 + B
= -3-8 = -8(-8)+B
B = -3+B = -3+1
B= -3+1 = -4
Second measure = -8-4 = 4
Therefore, using both measures in bold : the Area = 4 x 5 = 20
Step-by-step explanation:
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
y=-2
x=-2y=6
y=-2
x+2y=6
x=-2
2x-y=3
x=-2
2x+y=-3
Answer:x+y=24
is the respuesta
pls help will mark brainliest
Answer:
[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]
Step-by-step explanation:
[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]
[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]
[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into
[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into
[tex]123456654321 - 12345654321[/tex] subtract turns into
[tex]111111000000[/tex]
Answer: 111,111,000
Step-by-step explanation: Logically it should be that
PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches
Answer:
48.5
Step-by-step explanation: i just did the problem
Answer:
48.5 is your answer
Step-by-step explanation:
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answer:
[tex]A = 20,000(0.85)^t[/tex]
Step-by-step explanation:
We will use the formula for compound interest here
where [tex]A = p( 1 + r)^t[/tex]
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula [tex]A = p( 1 + r)^t[/tex]
[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]
Thus, model equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]
Help will give brainliest
Answer:
C
Step-by-step explanation:
55% is the same thing as 0.55. 0.55(300) equals 165
Hope this helps! Please give brainliest!!
The sum of three consecutive integers is 270. Find the integers
Answer:
Step-by-step explanation:
89,90,91
Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
Step-by-step explanation:
-3.25a+4a=2-5
0.75a=-3
a = -4
Tell me if its right
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
x^2 + 6x + 5 show equation
Answer:
[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]
Step-by-step explanation:
[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]
so
[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]
hope this helps
1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer
Answer:
3
Step-by-step explanation:
1/2(8+6)-2=4+x-2
1/2*14 -2 = 2+x
7-2=2+x
5=2+x
x=5-2
x=3
A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?
Answer:
4000 N
Step-by-step explanation:
this question should be in physics actually
m = 1200 kg
initial velocity = vo = 15 m/s
final velocity = vt = 0 because it stops
time needed = t = 4.5
so we can find the Force F by these step
first find deacceleration
vt = vo + at
0 = 15 + a(4.5)
15 = -4.5a
a = - 15/4.5 = - 10/3 = - 3.33 m/s²
F = m.a = 1200 . 10/3 = 4000 N
HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)
Step-by-step explanation:
a p e x , just took the quiz
if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31
Answer:
The answer is a
Step-by-step explanation:
Becuase its right
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be: [tex]4b\leq 96[/tex]
Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).
Answer:
Please see attached image
Step-by-step explanation:
We start by finding the actual algebraic expression for g(x):
g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2
Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:
for x = 0 g(x) = 2
for x = 1 g(x) = 6
for x = -1 g(x) = -2
and joining them with a line.
Which of the following are solutions to lx-1|=5x+2? Check all that apply
Answer:
x=-3/4 x=-1/4
Step-by-step explanation:
x-1=5x+2
-3=4x
x=-3/4
x+1=5x+2
-1=4x
x=-1/4
PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism
1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!
Answer:
224
Step-by-step explanation:
Khan hehe
hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Please help me ASAP!!!
Answer:
Yes
No
Yes
No
Step-by-step explanation:
9, 15 have 3 as the GCF
12, 18 have 6 as the GCF
15, 27 have 3 as the GCF
30, 45 have 15 as the GCF
[tex]( {x}^{2} + 6x - 5) - ( {8x}^{2} - 7x + 5)[/tex]Find..
A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?
Answer:
24
Step-by-step explanation:
It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.
Answer: 24
Step-by-step explanation:
40/5=8
So 8hrs per pool, and there are 3 pools so 8*3=24min
6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?
Answer:
1.2 million
Step-by-step explanation:
First multiply the equation by 100. You get:
600,000 = 100bu + 400,000
Now recognize that you can substitute:
600,000 + 100bu + 400,000
= 600,000 + (600,000)
= 1,200,000
That’s 1.2 million.
The value of the equation given is 1.2 millions.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,
So, In the equation 1, multiply by 100, we get,
6,000 = bu + 4,000
600000 = 100 bu + 400000
Now, put this in equation 2,
600,000 + 100 bu + 400,000
= 600000 + 600000
= 1200000
= 1.2 millions
Hence, the value of the equation given is 1.2 millions.
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What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
Point S is located at(9,−3). Point T is located at (4,-3)
Answer:
if 52x=1 what is the value of x
Answer:
5.
Step-by-step explanation:
Khan academy (I tried 5 and it was correct)
Find the average rate of change of the function
f(x) = x² + 9x from x1 = 1 to x2 = 5.
Answer:
15
Step-by-step explanation:
The function is;
f(x) = x² + 9x
We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5
Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex] where h is the change in x-axis
When x = 1 , f(x) = 1² + 9(1) = 10
When x = 5, f(x) = 5² + 9(5) = 70
f(x + h) - f(x) = 70 - 10 = 60
h = 5 - 1 = 4
So average rate of change = [tex]\frac{60}{4}[/tex] = 15
The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to
x₂ = 5 will be 15.
What is Average rate?
The average rate change is defined by divide the change in y - values by the change in x - values.
Given that;
The function is defined as;
⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5
Now,
The formula for the average rate change is given as;
Average change = f (x + h) - f (x) / h
Where, h is change in x - axis.
Since, The function is;
f(x) = x² + 9x
When, x₁ = 1
f(x) = x² + 9x
f(1) = 1² + 9
f (1) = 10
When, x₂ = 5
f(x) = x² + 9x
f(x) = 5² + 9 x 5
f (5) = 25 + 45
f (5) = 70
So, Average change = f (x + h) - f (x) / h
Average change = 70 - 10 / (5 - 1)
= 60 / 4
= 15
Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.
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