Answer:
72 85 23
Step-by-step explanation:
Equation
(x - 13) + (x/5 + 6) + x = 180 Multiply the equation by 5
Solution
5(x - 13) + 5(x/5 + 6) + 5x = 180*5 Remove the brackets
5x - 65 + x + 30 + 5x = 900 Combine like terms on the left
11x - 35 = 900 Add 35 to both sides
35 35
11x = 935
x = 85
Answer
x - 13 = 85 - 13 = 72
x = 85
x/5 + 6 = 17 + 6 = 23
Total = 180
It might be easier not to multiply through by 5 at the beginning
(x - 13) + (x/5 + 6) + x = 180 Remove the brackets
x - 13 + x/5 + 6 + x = 180 Combine like terms
2x + x/5 -- 7 = 180
x/5 = .2x Put 0.2x in for x/5
2.2x - 7= 180 Add 7 to both sides
7 7
2.2x = 187 Divide by 2.2
x = 187/2.2
x = 85
Take your pick. Both methods will give the same answer.
Explain how this diagram shows
That 6(3 + 4) = 6(3) + 6(4)
Answer:
[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]6(3 + 4) = 6(3) + 6(4) \\ 6(7) = 6(3) + 6(4) \\ 6 \times 7 = 6 \times 3 + 6 \times 4 \\ 42 = 18 + 24 \\ 42 = 42[/tex]
→ LHS = RHS
•°• Hence proved.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net? 12 inches squared 24 inches squared 36 inches squared 48 inches square
Answer:
Surface area of triangular pyramid = 48 inch²
Step-by-step explanation:
Given:
Base length of triangle = 6 inches
Height of triangle = 4 inches
Find:
Surface area of triangular pyramid
Computation:
Surface area of triangular pyramid = 4 x [Surface area of triangle]
Surface area of triangular pyramid = 4 x [(1/2)(b)(h)
Surface area of triangular pyramid = 4 x [(1/2)(6)(4)
Surface area of triangular pyramid = 4 x [(1/2)(24)]
Surface area of triangular pyramid = 4 x 12
Surface area of triangular pyramid = 48 inch²
The Louvre pyramid in Paris is built of glass panes. The top row has 4 glass panes, and each row after it has 4 more panes than the previous row. How many panes of glass are in the 16th row?
Answer:
Number of glass panel in 16th row = 64
Step-by-step explanation:
Given:
Number of glass panel in first row = 4
Each next row added number of glass panel = 4
Find:
Number of glass panel in 16th row
Computation:
An = a + [n-1]d
An = given term = A16
a = first term = 4
n = number of term = 15
d = Common difference = 4
An = a + [n-1]d
An = 4 + [16-1]4
An = 4 + [15]4
An = 4 + 60
An = 64
Number of glass panel in 16th row = 64
Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped
Answer:
C. Not symmetric; not bell-shaped.
Step-by-step explanation:
In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.
On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.
The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.
Answer:
c
Step-by-step explanation:
Please help
the diagram shows a cube and a cuboid
Answer:
2197 cm³
Step-by-step explanation:
surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014
surface area of cube = 6 * x² .... x: side length of cube
6x² = 1014
x² = 169
x = 13
volume of cube = x³ = 13³ = 2197 cm³
A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
A) The true relationship between heart rate and maximal oxygen uptake is linear.
B) The correlation between heart rate and maximal oxygen uptake is not equal to zero.
C) The confidence interval is not biased.
D) The point (x_,y_) falls on the regression line. The X and Y have a line on top.
E) The slope is not equal to zero.
Answer:
C) The confidence interval is not biased.
Step-by-step explanation:
When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.
The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
What are explanatory and response variables?Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.
The response variables are also called dependent variables and their values depend on the values of the explanatory variables.
For this case, it is considered that:
Explanatory variable: Heart rateResponse variable: Maximal oxygen uptakeIt is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.
Thus, the most important condition that must be checked is:
Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).
Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero
Learn more about correlation here:
https://brainly.com/question/10725272
Find the slope that passes through the points (1,4) and (-4,14)
A: 1
B: -2
C: 1/2
D: -1
Answer:
B: -2
Step-by-step explanation:
14-4/-4-1 = 10/-5 or -2
Answer:
-2...................
A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70
per pound. He wants to mix a total of 21 pounds and sell it for $0.95 per pound. How many pounds of
each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
HELP IM TIMED. ILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
find the next number 2,5,12,25,54
Answer:
Step-by-step explanation:
The next number is 110
Helppppp plz
Times New Roman, 14px
1.5pt B I U Ꭶ A Ꭺ
Part 1: Use a sequence to represent the air loss in a bike tire.
A manufacturer of bicycle tires performs an experiment to determine the daily loss of air when the cap on
a bicycle inner tube is loose. At the end of the experiment, the company concluded that customers can
expect to lose an average of 2.8 psi (pounds per square inch) per day when the bike is not in use.
1. One bike owner fills his tires to 98 psi on the first day of August, but does not realize that the caps are
loose.
I
a) Make a table showing the expected daily psi for the tires if no air is added for a week. (3 points)
b) What type of sequence can be used to represent the expected psi of the tires? Explain. (2 points)
c) Write the formula for the nth term in the sequence. (2 points)
Answer:
Have you gotten the answers yet?
Step-by-step explanation:
Answer:
here you go
Step-by-step explanation:
the second picture is to part D if you can't see it
what is 873 divided by 35?!!
873 divided by 35= 24 33/35
Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21
Answer:
The median of the following numbers is 14
Step-by-step explanation:
A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the next carton of yogurt sold will be raspberry?
Answer:
Step-by-step explanation:
10/16
Carl can do a particular job in 4 hours. It takes Mike 7 hours to do the same job. Approximately how long will it take them to do the same job working together?
Answer:
28/11hr or about three hr
Step-by-step explanation
1/4+1/7=11/28
or 28/11 hr
Answer:
2 hours and 32.7 minutes. This is a good problem to become familiar with. It comes up in physics quite frequently.
Step-by-step explanation:
1 job/4 hours + 1 job / 7 hours = 1/x
1/4 + 1/7 = 1/x
(7 + 4)/28 = 1/x
11/28 = 1/x
x / 1 = 28/11
x = 2.54 hours repeating.
1 hour = 60 minutes
0.54 hours = x minutes
1/.54 = 60/x
x = 0.54 * 60
x = 32.7 minutes
1x5x89x78x0x6x8x67x87x897x7799
Answer:
just use the calculator
The answer is 0 because the equation has something being multiplied by zero, and anything multiplied by 0 is 0, and the same applies to any subsequent multiplications..
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
what is the square root of 377.68
Answer:
19.4339908408
Evaluate the following equation for the given x value. Round your answer to
the nearest hundredth. *
у
600(0.732)"; x = 3
Answer:
585856859686
Step-by-step explanation:
546786676
PLEASE HELPPP!!!!!!!!
Answer:
A
Step-by-step explanation:
If you get that right, follow Sammy Revv on Spotify please
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
Do as the question asks. I promise I will award a brainliest answer :)
1st picture is a PENTAGON
2nd picture is a OCTAGON
3rd picture is a HEPTAGON
Answer:
Step-by-step explanation:
hope this helps! :)
-2 x -4 =
please help
Answer:
8
Step-by-step explanation:
Two negatives mean you make a positive and 4 x 2 is 8
Answer:
8
Step-by-step explanation:
Negative times negative = positive
Cancel out the negative symbol
Now multiply: 2*4=8
Help with this equation please
Answer:
[tex]y=-\frac{2}{3}x+6[/tex]
Step-by-step explanation:
Let the equation of the line representing the given table is,
y = mx + b
Here, m = slope of the line
b = y-intercept
From the given table,
Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,
m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]
= [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]
= [tex]-\frac{2}{3}[/tex]
Therefore, equation of the line will be,
[tex]y=-\frac{2}{3}x+b[/tex]
Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],
By satisfying the equation with the given point,
[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]
[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]
[tex]b=\frac{18}{3}[/tex]
[tex]b=6[/tex]
Therefore, equation of the line will be,
[tex]y=-\frac{2}{3}x+6[/tex]
For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.
first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent
second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular
9514 1404 393
Answer:
can be congruent or not congruentmust be perpendicularStep-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.
Your blanks can be filled with ...
can be congruent or not congruentmust be perpendicularWe would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).
Pls help I’ll brainlest
Answer:
(D) 13/15
Step-by-step explanation:
Well there are 15 marbles in total.
There are 2 marbles that are blue
The qusection asks for the probability of NOT a blue
so 13/15
a)How many similar figures can be drawn inside the following figures?
Find the limit of area and perimeter
Do -16 and 16 have the same value
Answer:
No they do not
Step-by-step explanation:
16 is positive -16 is negative they have different values. Hope this helps!
What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro
Answer:45
Step-by-step explanation:
The value of x by the given data is 190/3 or 63.33
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The angles between the lines
Now,
To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:
30° + (3x)° + (-40)° = 180°
Simplifying, we get:
(3x)° - 10° = 180°
Adding 10° to both sides, we get:
(3x)° = 190°
Dividing both sides by 3, we get:
x = 190/3
Therefore, by algebra the answer will be 190/3 or 63.33.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ7
Help me please help ASAP help me ASAP please please help ASAP
Answer:
P = 10π + 30 ≈ 61.4
Step-by-step explanation:
Perimeter = s1 + s2 + s3 + s4
= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4