Answer: 0.6x = 87
Step-by-step explanation:
Hi, to answer this question we have to write en equation:
We have to multiply the variable x by the percentage given (60%) in decimal form (divided by 100). That expression must be equal to 87.
Mathematically speaking:
x (60/100) = 87
0.6x = 87
Feel free to ask for more if needed or if you did not understand something.
This equation states that 60% (or 0.60) of x is equal to 87.
To express the relationship between 60% of x and 87, we can set up an equation. Since 60% can be written as 0.60, we can write:
0.60x = 87
To solve for x, we divide both sides of the equation by 0.60:
x = 87 ÷ 0.60
So, x will be:
x = 145
This shows that 60% of 145 is equal to 87.
Mr. Viviano would like to report to the principal the smaller measure of center between the mean and the median for the distribution of test scores of his AP Calculus class. The test scores are as follows: 60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100. What number will he report?
Step-by-step explanation:
Given data,
Test scores =60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100
Mean= (60+65+70+75+80+80+80+85+85+90+95+100)/11
= 885/11
= 80.45
Median= 80
A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a diameter of 6 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity? Use 3.14 for pi.
Answer: Your answer is 3.77
Step-by-step explanation:
Answer:
its actually $11.30
Step-by-step explanation:
1. 9 x 3.14(pi) x 5
2. 141.3x 0.08
3. 11.304
4. if im incorrect im not sorry since its not gonna help you
#7: At the gym on Saturday, Reese ran 5 miles on the treadmill and then
completed 1 mile on the elliptical machine, and burned 725 calories. On Sunday
she ran 3 miles on the treadmill and completed 1 mile on the elliptical, and burned
505 calories. Write and solve a linear system to find the number of calories Reese
burns on each machine.
Treadmill:
Elliptical:
Answer: The equations are 5t + e = 725 and 3t + e = 505
Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence we shall call the treadmill t, and we shall call the elliptical machine e.
If on Saturday, she ran 5 miles on the treadmill and 1 mile on the elliptical machine and she burned 725 calories in the process, we can express this as
5t + e = 725 ------(1)
Also on Sunday, she ran 3 miles on the treadmill and 1 mile on the elliptical machine and burned 505 calories in the process, that too can be expressed as
3t + e = 505 ------(2)
We now have a pair of simultaneous equations which an be solved by the elimination method (reason being that on of the unknowns have the same coefficient, that is variable e).
Subtract equation (2) from equation (1) and you arrive at;
2t = 220
Divide both sides of the equation by 2
t = 110
Having calculated the value of t, substitute for the value of t into equation (1)
5t + e = 725
5(110) + e = 725
550 + e = 725
Subtract 550 from both sides of the equation
e = 175
The above calculations shows that the calories burned on each gym equipment are;
Treadmill = 110 per hour
Elliptical = 175 per hour
Factor by using GCF:
10x2 + 15x-5
Answer: The answer is : 5 ( 2 x^ 2 + 3 x − 1 ) (Friend me )
Step-by-step explanation: You know that 5 can go into 10, 5, and 15 evenly. Therefore, 5 must be the GCF. So, you factor five and basically rewrite the equation to fit the number 5.
The sides of a whiteboard are 3 feet by 1 foot. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whiteboard?
Board:
Width = 3 feet = 3*12 = 36 inches
Height = 1 foot = 1*12 = 12 inches
36 in (board width) / 2 in (posit width) = 18
12 in (board height) / 2 in (posit height) = 6
Area = base * height
Area = 18 post-its wide * 6 post-its height = 108 post-its
Answer:16
Step-by-step explanation:I think
6.25 in.
Apply
9. Poppy is using wire to make metal wall hangings
radius shown for her friends. Her older sister is
hangings with a diameter that is 12 inches longer
How much more wire did her sister use per
Poppy? Use 3.14 for it. Write your answer as a
the nearest hundredth.
all hangings that have the
sister is making her wall
thes longer than Poppy's.
per wall hanging than
er as a decimal rounded to
To determine how much more wire the sister used, we calculate the difference in circumference based on the increased diameter of 12 inches using the formula C = πd. The extra wire length is 3.14 • 12, which is the difference in circumference between the sister's and Poppy's wall hangings.
Explanation:The student's question focuses on comparing the length of wire used by Poppy and her sister for making metal wall hangings. Poppy's wall hangings have an unspecified radius, while her sister's hangings have a diameter that is 12 inches longer than Poppy's. The amount of wire corresponds to the circumference of the wall hangings, which can be found by using the diameter to calculate the circumference with the formula C = πd, where C is the circumference and d is the diameter.
To find out how much more wire the sister used per wall hanging than Poppy, we first determine the diameter of Poppy's hangings. Let's denote it as d, then her sister's hangings' diameter would be d + 12 inches. Using 3.14 for π, the difference in wire used would be 3.14 • (d + 12) - 3.14 • d, which simplifies to 3.14 • 12. After calculating and rounding to the nearest hundredth, we get the answer.
Exponential function question
Answer:
The correct answer is A.
In A, the set of ordered pairs can be generated by the exponential function f(x) = 3^x.
PLS ANSWER ONLY IF YOU KNOW IT Sea World has 9 aquariums with small fish in them and the number of fish in each tank are shown below:
45, 10, 48, 19, 36, 25, 63, 14, 39
What is the mean of the number of fish?
Question 2 options:
40
33
53
36
Answer:
33
Step-by-step explanation:
add all the numbers together and divide them by the number of values given
Answer:
33, 33.2 to be precise
Step-by-step explanation:
Mean is the average of a set of numbers, so just add all of them and divide by the amount of numbers (9)
109/10 in simplest form explain
Answer: 109/10
Step-by-step explanation:
1. Find the GCD (or HCF) of numerator and denominator
GCD of 109 and 10 is 1
2. Divide both the numerator and denominator by the GCD
109 ÷ 1
----------------
10 ÷ 1
3. Reduced fraction:
109
-----------
10
Therefore, 109/10 simplified is 109/10
Evaluate log 12y^2 given 12y=16
Answer:
y=
Step-by-step explanation:
16²=256 sooo....
12y^2=256
6y*6y=256
find what y equals
Answer:
B
Step-by-step explanation:
E2021
What is 7 x 10^22 in its expanded form?
Answer:
70,000,000,000,000,000,000,000
Step-by-step explanation:
a worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?
To make 1 spring, 1.5 inches of steel wire are needed.
Explanation:To find out how many inches of steel wire are needed to make 1 spring, we can set up a proportion. We know that the worker uses 450 inches of steel wire to make 300 springs. Let x represent the number of inches of steel wire needed to make 1 spring. The proportion would be:
450 inches/300 springs = x inches/1 spring
To solve for x, we can cross multiply:
450 * 1 = 300 * x
450 = 300x
Dividing both sides by 300, we get:
x = 450/300 = 1.5 inches
Therefore, 1.5 inches of steel wire are needed to make 1 spring.
In 2000, 2200 students attended Algebra High School. The enrollment declines by 3% each year. How many students will be enrolled in 2020?
A.1,196
B.1,444
C.1,248
Answer:
the answer is c
Step-by-step explanation:
For the given functions FNG, find the indicated composition.
Answer:
A
Step-by-step explanation:
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(2x - 1)
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11 → A
Grayson baked 24 sugar cookies. His family ate 1/3 of the cookies. How many cookies did they eat? How many cookies are left?
Answer:
His family ate 8 sugar cookies.
16 sugar cookies are left.
Step-by-step explanation:
His family ate 1/3 of the 24 sugar cookies: 1/3 x 24= 8How many are left: 24-8=165. Mrs. Parker is providing lunch at her next staff meeting. She will pay $15.75 for 3 people
to eat lunch. At this rate, how much will it cost Mrs. Parker to feed 40 people?
11 inches of snow were predicted. 16 inches of snow fell. Calculate the percent error?
Answer : The percentage error will be, 45.5 %
Step-by-step explanation :
To calculate the percentage error, we use the equation:
[tex]\%\text{ error}=\frac{|\text{Experimental value - Accepted value}|}{\text{Accepted value}}\times 100[/tex]
We are given:
Experimental value = 16 inches
Accepted value = 11 inches
Now put all the given values in above equation, we get:
[tex]\%\text{ error}=\frac{|16-11|}{11}\times 100\\\\\%\text{ error}=45.5\%[/tex]
Hence, the percentage error will be, 45.5 %
Find the length of the hypotenuse to the nearest whole number if a'= 5
and b = 2.
Answer:
The answer is 10
Step-by-step explanation:
Equation to find the hypotenuse (c) is [tex]\sqrt{a^{2} +b^{2} }[/tex]
[tex]5^{2}[/tex] x [tex]2^{2}[/tex] = 100 (which is your [tex]c^{2}[/tex])
[tex]\sqrt{100}[/tex] = 10
24xy = 6y; x = -2; y = 3 evaluate the expression
Answer:
-144 = 18
Step-by-step explanation:
1). 24xy = 6y
x = -2; y = 3
24(-2)(3) = 6(3)
-144 = 18
Which number is both a factor and a multiple of 14? A, 1 7 B. 14 C.28
Answer:
Step-by-step explanation:
The multiples of 14
Answer : 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280,294,308,322,336,350,364,378,392,406,420,434,448,462,476,490,504,518,532,546,560,574,588,602,616,630,644,658,672,686,
Answer:
A 1
Step-by-step explanation:
1, 2, 7, 14 14 28 42 56 70 84 98 112 126 140
plus question on edge please give me brain list please or rate good
URGENT PLEASE HURRY WILL MARK BRAINLIEST PLS GIVE EXPLANATION
The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there is 1 dot above the second mark, there is 1 dot above the third mark, there is 1 dot above the fourth mark and there are two dots above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)
1.2
1.4
2.4
2.8
Answer:
(B)1.4
Step-by-step explanation:
The mean absolute deviation(MAD) of a set of data is the average of the absolute deviations from the mean. It gives us statistics on the variability of the given set of data.
From the given information:
The first set of data represents the height of the sixth graders. The mean absolute deviation (MAD) for their heights is 1.2.The second set of data represents the height of the seventh graders. The mean absolute deviation (MAD) for their heights is 1.7.1.2 and 1.7 are the measures of the variability of the height of the sixth and seventh graders respectively.
To find out approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders,
Let the number of times=x
MAD of the 6th graders X x=MAD of the 7th graders
1.2x=1.7
x=1.7/1.2
x=1.42[tex]\approx 1.4[/tex]
Answer:
1.4
Step-by-step explanation:
0.34 as a fraction in simplest form
Answer:
17/50Step-by-step explanation:
0.34 x 100 / 100
= 34 / 100
Reduce the fraction:
34/100 by 2
2 x 17 = 34
2 x 100 = 50
= 17/50
^ These are the lowest terms.
Answer:
17/50
Step-by-step explanation:
First, write as a fraction :
34/100 since it is thirty-four hundredths
then, simplify by finding GCD(greatest common divisor):
34 divided by 2=17; 100 divided by 2=50 so the fraction becomes:
17/50 in simplest form.
Please answer, will mark brainliest
Answer:
4. B 5. C
Step-by-step explanation:
Answer:
B; C
Step-by-step explanation:
The data contains 10 separate values.The only plot with 10 "x"s is the 2nd one, therefore the answer is B.
The only stem-and-leaf plots in the proper format are the last 2. The only one containing "89" as a value is the 3rd one (It was one of the values in the data set). Therefore, it is C.
The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?
© (-6, 0) and (-4,0)
(-2, 0) and (-12, 0)
(4,0) and (6,0)
(12, 0) and (2,0)
Mark this and return
Save and Exit
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Submit
Answer:
(4, 0) and (6, 0)
Step-by-step explanation:
The function that we have is:
[tex]g(x)=x^2-10x+24[/tex]
This is the function of a parabola.
to find the points where the function crosses the x-axis, we need to find the values of x for which g(x) (which is the value of the y-axis) is equal to zero.
so we need [tex]g(x)=0[/tex] for the function to be crossing the x-axis.
Thus our equation becomes:
[tex]x^2-10x+24=0[/tex]
and we can solve this equation with the quadratic formula or by factoring.
I will sove by factoring:
To factor this type of equations we need to find 2 number that satisfy the following:
when multiplied result in +24 (the independent number of the equation) and when added or substracted result in -10 (the coefficient of the x in the equation)In this case those 2 number are: -6 and -4 because:
(-6)(-4)=+24
-6 - 4 = -10
Thus we arrange our factored equation as follows:
from [tex]x^2-10x+24=0[/tex] through factoring we get:
[tex](x-6)(x-4)=0[/tex]
and because of the zero factor property (if two things when multiplied result in zero one of them or both must be zero), thus our x values are:
[tex]x-6=0\\x=6\\[/tex]
and
[tex]x-4=0\\x=4[/tex]
thus, our points are those with and y coordinate of 0 and an x coordinate of 6 and 4:
(4,0) and (6,0)
The output of a function or relation, or the set of y-values that a graph is defined for, is called the ___.
Answer:
Range
Step-by-step explanation:
The range of a graph tells you all of the possible y-values for it.
There is also the domain, which tells you all of the possible x-values.
For example, if you have this relation, that only has these points:
(1, 2) (2, 4) (3, 6)
Then the range is {2, 4, 6}. This means the "y" can ONLY be the numbers stated here.
The domain would be {1, 2, 3}.
In a regular deck of cards, calculate the probability that a diamond is drawn given that it is a face
card.
HURRYYYY PLEASEEE
Answer: 3/52
Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.
Answer: 0.25 or 25%
Step-by-step explanation:
you have to do 3 (the number of diamond face cards) divided by 12 (the total number of face cards) which is 0.25
Factor completely 16x^3−36x
Answer:
4x(2x+3)(2x−3)
Step-by-step explanation:
Factor 16x3−36x
16x3−36x
=4x(2x+3)(2x−3)
Look at the attached picture ⤴⤴
Hope this will help u...
Ben sharpened 5 pencils he has 8 more unsharpened pencils than sharpened. How many unsharpened pencils does Ben have?
how are the 4 areas of a coordinated grid label ?
The number of toys donated by students in 12 classes is shown below. The principal says the average number of toys donated by each class is 26. Explain how this could be misleading.
16, 16, 17, 19, 20, 23, 24, 25, 29, 31, 33, 59
Answer:
59 is an outlier in the numbers, which increased the average of the toys.