4
Which equation will solve the following word problem? Sue's class has 50 students. 20% of the students are in art class. How many students are NOT in art class?
50/(50 * 0.20) = x
50 + (50 * 0.20) = x
50 - (50/0.20) = x
50 - (50 * 0.20) = x
Answer:
50 - (50 * 0.20) = x
Step-by-step explanation:
Student in art class = 20% or 20/100 or 0.2
Student NOT in art class = 80% or 80/100 or 0.8
Total number of students = 100% or 100/100 or 1, which equivalent to 50 students
x = total number of students - 20%
= 50 - ( 50 x 0.2 )
= 50 - 10
= 40 students
Two glasses of milk and three snack bars have a total of 72 carbs. and 4 glasses of milk and 2 snack bars have a total of 88 carbs. Determine how many carbs are one glass of mild and one snack bar.
Answer:
one glass of milk = 15 carbs
one bar = 14 carbs
Step-by-step explanation:
let 'm' = one glass of milk
let 'b' = one snack bar
system of equations:
2m + 3b = 72
4m + 2b = 88
I used the elimination method and multiplied the 1st equation by -2
-4m - 6b = -144
+ 4m + 2b = 88
-4b = -56
b = 14
now solve for 'm'
2m + 3(14) = 72
2m + 42 = 72
2m = 30
m = 15
At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. Machine 2 produced 180 satisfactory pistons and 20 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Answer:
[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory
Step-by-step explanation:
The two events are independent of each other.
Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2
Substituting the given values we get
Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]
=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]
=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]
Common ratio of 135,45, 15, 5,
9514 1404 393
Answer:
1/3
Step-by-step explanation:
If the ratio is common, you can choose any successive numbers to compute it. Smaller numbers may be more familiar. The ratio is ...
5/15 = 1/3
Suppose a day from this city is selected at random. Let
event A = heavy traffic and event B = bad weather. Are
events A and B independent?
Answer:
The two events are not independent
Step-by-step explanation:
Two events are said to be independent only when the change in one event affect the other event.
Here the two given events are not independent.
Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.
Hence, the two events are not independent as the traffic is affected by the weather conditions.
Find the volume of prism
Answer: 343 ft^3
Step-by-step explanation:
To find the volume of a cube, the one side length is raised to the power of three whihc comes to 343 ft^3
which ordered pair would form a proportional relationship with the point graphed below?
Answer:
[tex](x,y) = (-30,10)[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (60,-20)[/tex]
Required:
Determine a pair with a proportional relationship
A proportional relationship is:
[tex]k = \frac{y}{x}[/tex]
Where k is the constant of proportionality.
[tex](x,y) = (60,-20)[/tex]
So, we have:
[tex]k = \frac{-20}{60}[/tex]
[tex]k = -\frac{1}{3}[/tex]
This means that for a pair to have a proportional relation, k must be -1/3.
This is true for (c).
Where:
[tex](x,y) = (-30,10)[/tex]
So, we have:
[tex]k = \frac{10}{-30}[/tex]
[tex]k = -\frac{1}{3}[/tex]
Find the square root of the following decimal numbers.
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful.......
Answer:
square root of
2.56=√(2.56)=1.618.49=√(18.49)=4.368.89=√68.89=8.384.64=√84.64=9.2Find the equation of a line perpendicular to 3x−4y=6 that contains the point (2,−4).
Answer: y= -4x/3 - 4/3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=3x4−32.
The slope of the perpendicular line is negative inverse: m=−43.
So, the equation of the perpendicular line is y=−4x3+a.
To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.
Thus, a=−43.
Therefore, the equation of the line is y=−4x3−43.
Answer:
Step-by-step explanation:
y=mx+b
3x-4y=6
4y=3x-6
y=(3x-6)/4
So the slope, m, is 3/4
For lines to be perpendicular m1(m2)=-1, in this case
3m/4=-1
m=-4/3 so our line so far is
y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b
-4=-4(2)/3+b
b=-4/3 so
y=(-4x-4)/3
Expression Name
Expression
E
–8 + 4∕7
F
7 – 0.5
G
9 + (–3)
H
3.8 – 6.7
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Answers
A)
H
B)
F
C)
E
D)
G
Answer:
G
Step-by-step explanation:
9+(-3) = 6
Find x for the trapezoid.
J
K
(2x+15).. (3x-20).
(x +15).
N4
M.
Answer:
50°
Step-by-step explanation:
All quadrilaterals' interior angles sum to 360°:
(x + 15)° + (2x + 15)° + (3x - 20)° + x° = 360°
x + 15 + 2x + 15 + 3x - 20 + x = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 50°
Can someone please help me with these A B C D it’s urgent zoom in if needed I’ll also mark brainliest don’t just randomly answer I will report u
Answer:
First doing it by mental math.
a. you do the same thing that you do when evaluating the expression but do it in your mind. First add the numbers before the decimal point and then add the numbers after decimal point. Then add the decimal where in the equation the decimal point lies. I got 13.0 or 13 when I did it in my mind.
b. Over we see that we have a negative number in the beginning and then positive number. You must be thinking that this is going to be hard to calculate it in your mind, but actually it is very easy. add 5 + 4.6 + 1 in your mind. You will get 10.6. Now subtract 10.6 - 5.6. You will get 5.
c. This is also easy. You are given a mixed number. What you will do is first solve the whole numbers in your mind (3, 4, 1). 3 - 4 + 1 = 0. Now you are only left with fraction. Solve the fractions in your mind. This is a trick that I use that doesn't work in all fraction. Sometimes I will have to solve it on paper, but sometimes I can just use my mind to solve. If you see in the equation you have 2 fractions with same denominator. So, add 1/6 + 5/6 = 1. Now subtract 1 - 3/4. It will give you 1/4.
Now let us solve it on paper. I have attached a picture of it.
Shivani has two pieces of wire, one 48 feet long and the other 21 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them?
Answer:
3 feet
Step-by-step explanation:
48 = 2⁴×3
21 = 3×7
Greatest common factor of 48 and 21 is 3.
Each piece will be 3 feet long.
Sam has a bag
full of 25 marbles
that contain 9 red,
7 blue, 5 green, and
the rest are purple.
What is the probability
that a randomly selected
marble will be purple?
Answer:
4/25
Step-by-step explanation:
25 - 9 - 7 - 5 = 4
There are 4 purple marbles.
Out of the 25 marbles, 4 are purple so the probability of getting a purple is 4/25
A rocket is fired into the air modeling the equation h = -16t2 + 512t + 50, where "t" is the time in seconds and "h" is the
3
height in feet
Kenji feeds his cats a mixture of wet and dry food at every meal. He mixes 5 spoonfuls of dry food and 10 spoonfuls of wet food for Tiger, his adult cat. He mixes a smaller meal with 3 spoonfuls of dry food and 5 spoonfuls of wet food for his kitten, Smokey. Do the two meals have the same ratio of dry food to wet food?
Yes or No
What are the zeros of F(x)=(x-2)(x+7)
Answer:
Zero's are X = 2 and X = -7
Step-by-step explanation:
you would set the factorized parts equal to zero, as in x - 2 = 0 and x + 7 = 0, then solve for x, and whatever you get is where y will be zero
Answer:
zeros: x = 2 and x = -7
Step-by-step explanation:
use zero product property - set the polynomial equal to 0
(x-2)(x+7) = 0
then set each factor separately to 0:
x - 2 = 0 x + 7 = 0
solve for x by adding 2 to both sides in the equation on the right, and subtracting 7 from both sides in the equation on the left
x = 2 x = 7
find the value of 7 in 47298
Answer:
Thousands place
Step-by-step explanation:
47,298 is written below. The place value is written next to it:
4 - ten thousands place
7 - thousands place
2 - hundreds place
9 - tens place
8 - ones place
I hope this helps!
Jenna has a rectangular pig pen that measures 8m wide by 10m long. She wants to increase the area to 168 m^2 by increasing the length and width by the same amount. What would you enter into desmos to represent the equation?
A) x^2 + 18x – 88
B) x^2 + 10x + 80
C) (8x)(10x)-168
D) None of the above
Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was the answer!
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
The correct option is (A).
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.
As per the given data:
The dimensions for the pig pen Jenna has is given.
The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.
Length of the rectangular pig pen = 10 m
Width of the rectangular pig pen = 8 m
Now, let's say that the length and width of the pig pen is increased by x m.
length = 10 + x
width = 8 + x
The expression for the area of the pig pen will be:
Area = length × width
168 = [10 + x][8 + x]
168 = 80 + 10x + 8x + x²
x² + 18x - 88 = 0
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
To learn more about surface area, click:
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surface area of a sphere with radius 19
Answer:
A≈4536.46
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Answer:
Radius 19
A ≈ 4536.46 .....ans
Fred went to catch a minimun of 2 pounds of fish.He caught 5/16 pounds.He caught another fish that was 7/8 pounds.How many pounds of fish did he catch so far? What shoud be the minimun weight of the third fish so that he can catch at least 2 pounds of fish in total?
Answer:
12
Step-by-step explanation:
i think this because 7 + 5 = 12 but i'm not quite sure if this is right to be honest I haven't masterd this question before.
In ΔABC, a = 660 cm, b = 680 cm and c=100 cm. Find the measure of ∠B to the nearest degree.
Answer:
m∠B = [tex]97^{o}[/tex].
Step-by-step explanation:
Since the three sides of the triangle are given, then we apply cosine rule.
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
But, a = 660 cm, b = 680 cm, and c = 100 cm.
So that;
[tex]680^{2}[/tex] = [tex]660^{2}[/tex] + [tex]100^{2}[/tex] -2(660 x 100) Cos B
462400 = 435600 + 10000 - 132000 Cos B
462400 = 445600 - 132000 Cos B
132000 Cos B = 445600 - 462400
= -16800
Cos B = [tex]\frac{-16800}{132000}[/tex]
= -0.1273
B = [tex]Cos^{-1}[/tex] -0.1273
= [tex]97^{o}[/tex]
Thus, measure of ∠B is [tex]97^{o}[/tex].
Answer:
M∠B = 97 degrees
Step-by-step explanation:
correct 96897 to the nearest thousand
Which value should be added to this data set to produce a mean of 13?
should be added to the data set to produce a mean of 13.
,Answer:
18
Step-by-step explanation:
edg 2021, i got this question correct, please mark me brainliest, I hope this helps, sorry for the late reply
If a window is 10 in + 14 in + 4 in what is the area of the window
Answer:
10 x 14 x 4 = 560
Step-by-step explanation:
You have to multiple all the numbers to get the area of a surface. Dont forget to include your measurements
Hope this helps
Lorrie bought 3 1/2 yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner. How many inches of ribbon did Lorrie use for the banner?
Answer:
7 ft 11 inches
Step-by-step explanation:
Convert 3 1/2 yards into 10 ft 5 inches.
Subtract 2 ft 6 inches from 10 ft 5 inches.
Lorrie used 88 inches of ribbon for the banner.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Lorrie bought 3 1/2 yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner.
We have to determine the number of inches of ribbon did Lorrie use for the banner.
Here the quantity of ribbon bought by Lorrie = 3 1/2 yard = 3.5 yard
The quantity of ribbon she has left.
⇒ 2 ft 6 inches
⇒ 2×12 + 6
∵ 1 feet = 12 inches
⇒ 30 inches
Since we know that 1 yard = 36 inch
So 3.5 yard = 36×3.5 inches = 126 inches
The quantity of ribbon which is trimmed :
⇒ 126 - 30 = 88 inches
Therefore, Lorrie used 88 inches of ribbon for the banner.
Learn more about Arithmetic operations here:
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Six copies of the sum of nine fifths and three
Answer: What is the complete question? Can you comment it?
Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.
If Q is the midpoint between P and R, PQ = 3x + 2 and QR = 7x - 18, find the value of x.
Answer:
x = 5
Step-by-step explanation:
Since Q is the midpoint of PR,
PQ = QR
=> 3x + 2 = 7x - 18
=> 3x - 7x = -18 - 2
=> -4x = -20
=> x = -20/-4
=> x = 5
Hope it helps :)
Please mark my answer as the brainliest
I need help fast I appreciate it
⅔n = 10
pls help me again