Answer:
2, 6, 6, 8, 8
Step-by-step explanation:
First, we know that the mean is the sum of the number divided by the amount, so if we take the answer we have, 6, and multiply that by the amount of number, 5, then we get 30.
Now we add the numbers in the ratio, so 1 + 3 + 3 + 4 + 4 = 15
15 x 2 = 30
This means we need multiply the numbers in the ratio by 2 to get
2 + 6 + 6 + 8 + 8 = 30
Answer:
2, 6, 6, 8, 8
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex], thus
[tex]\frac{sum}{5}[/tex] = 6 ( multiply both sides by 5 )
sum = 30
sum the parts of the ratio, 1 + 3 + 3 + 4 + 4 = 15 parts
30 ÷ 15 = 2 ← value of 1 part of the ratio, thus
3 parts = 3 × 2 = 6
4 parts = 4 × 2 = 8
Thus the 5 numbers are
2, 6, 6, 8, 8
What is the equivilent of +367 on a numberline?
Answer:
367
Step-by-step explanation:
367 because it is positive
Write the equation of the line that passes through the point (1,4) and is parallel to y=5
Answer:
The equation of the desired line is thus y = 4
Step-by-step explanation:
A line parallel to y = 5 is a horizontal line. The x-coordinate of every point on this line can take on any x-value; the y-coordinate is always 5.
The line that passes through the point (1, 4) has the constant y-coordinate 4, whereas x can take on any value.
The equation of the desired line is thus y = 4; this line passes through (1, 4) as required and is parallel to y = 5.
-4w + 4 = 12
help math ahh
Answer:
[tex] - 4w + 4 = 12 \\ - 4w = 12 - 4 \\ - 4w = 8 \\ w = - \frac{8}{4} \\\boxed{w = - 2}[/tex]
w=-2 is the right answer.A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
OKK almost done pls tell me if you can!!!!
Step-by-step explanation:
(3*4+1) / 4. * (2*5+3) / 5
= 13/ 4 * 13 /5
= 169/20
Answer:
(8 9/20)(x)
Step-by-step explanation:
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
Need help asap! What is x and y?
Answer:
C
Step-by-step explanation:
I THINK THAT IS THE ANSWER.
Which one is linear
If a tennis ball has a diameter of 14.6cm, and is cut in half.
What is the volume of the half of the tennis ball? Use 3.14
for pi
help please !! thank you!
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
Frank made $80 for 5 hours of work,
At the same rate, how much would he make for 17 hours of work?
Answer:
$272
Step-by-step explanation:
We're going to make an equation
we'll make x hours
5x=80
solve for x and you get 16 dollars an hour
16 times 17 is 272
what is the degree of the polynomial -x^4+10x^3+x-7
Answer:
7
Step-by-step explanation:
You can find the degree of a polynomial by adding all of the exponents on a specific variable.
the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.
Answer:
256 m and 3840 m²
Step-by-step explanation:
The 3 part of the ratio represents 48 m , then
48m ÷ 3 = 16 m ← value of 1 part of the ratio, so
5 parts = 5 × 16 m = 80 m
Then breadth = 48 m and length = 80 m
perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m
area = lb = 80 × 48 = 3840 m²
What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
Answer:
slope or m= -5/2
Step-by-step explanation:
-18v^2 + 23v^2 =
Please show work
You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.
Answer: 5D = T
Step-by-step explanation:
A dollar spent will give 5 tokens.
The amount of dollars spent therefore will increase the number of tokens you by fivefold.
Formula is therefore:
5D = T
Testing it.
Assume you spent 5 dollars, how many tokens would you have:
5D = T
5 * 5 = 25 tokens
(3k + 4 1/5) + 8 3/5
3x+8 if x=2
15
13
16
14
Answer:
14
Step-by-step explanation:
3*2+8
=14
Solve for the variable.
1. 78 = x - 11
Answer:
x = 89
Step-by-step explanation:
78 = x - 11
add 11 to both sides of the equation
78 + 11 = x - 11 + 11
78 + 11 = x
89 = x
Answer:
x = 89
Step-by-step explanation:
78 = x - 11
+ 11 = +11 <— we add 11 since we are doing inverse operation
89 = x
li can walk 2 miles in 45 minuets. At the rate,how far can she walk in 135
Answer:
6 miles
Step-by-step explanation:
Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles
write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)
Answer:
y = -2/3x + 4/3
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
comparing what we have with the general form;
y = mx + b
The slope of the given equation is 3/2
To get the slope of other;
3/2 * m = -1
3m = -2
m = -2/3
So we want to write the point-slope equation
y-y1 = m(x-x1)
y-2 = -2/3(x + 1)
3y - 6 = -2x -2
3y = -2x -2 + 6
3y = -2x + 4
y = -2/3x + 4/3
A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24
Answer:
I think it's maybe 11:55
Answer:
11:13
Step-by-step explanation:
Just simplify 55:65, by dividing by 5
Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
View One Minute Version
Answer:
The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)
Step-by-step explanation:
The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing
The given parameters of the scale drawing are;
The scale of the drawing is 1 cm = 2 m
The dimensions of the rectangle representing the garden in the scale drawing is given as follows;
The width of the rectangle = 2.5 cm
The length of the rectangle = 4 cm
The required location where the tree is to be planted = 7 m from A and 4 m from point C
Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C
Taking the coordinate of point A as the origin, we have;
The coordinates of point A = (0, 0)
∴ The coordinates of point C = (4, 2.5)
The general equation of a circle is (x - h)² + (y - k)² = r²
Where, (h, k) is the coordinate of the center of the circle
The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C
Therefore, for point A, we have;
(x - 0)² + (y - 0)² = 3.5²
x² + y² = 12.25...(1)
For point C, we have;
(x - 4)² + (y - 2.5)² = 2² = 4
Which gives;
x² - 8·x + 16 + y² - 5·y + 6.25 = 4
x² + y² - 8·x - 5·y + 22.25 = 4
We have x² + y² = 12.25 from equation (1), therefore, we have;
12.25 - 8·x - 5·y + 22.25 = 4
- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5
∴ 8·x + 5·y = 30.5
y = (30.5 - 8·x)/5
Therefore, we have;
x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25
Using a graphing calculator we get;
356·x² - 1952·x + 2496 = 0
Which gives;
x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)
x = 3.452197227 or 2.03094884081
To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;
Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368
or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547
y = 0.5764844368 or 2.8504818547
To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;
(3.45, 0.58) or (2.03, 2.85)
We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.
Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)
Answer:
Step-by-step explanation:
Make sure to use protractor and cross tools to get full marks
Thank you
Answer the question below please.
DUE TODAY
CORRECT ANSWER GET'S BRAINLIEST :)
Answer:
23.5
Step-by-step explanation:
I'm not sure if its correct or not
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
The ratio of the number of adults to the number of children at a restaurant is 3: 7. Identify the choice(s) below
that represent an equivalent ratio.
A 15:35
B 6:14
C 21:9
D 8:12
E 30 : 70
Answer:6:14
Step-by-step explanation:
from the adjoining figure, find the value of x
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
Which section of the function is constant? (4 points)
OA
OD
ОС
ОВ
Answer:
C
Step-by-step explanation:
Here, we want to select the constant section
The constant section is the one represented by a horizontal line
As we can see from the image, we have this as section C
The mass of a large car is 1200 kg. How much force would be required to accelerate the car at a rate of 5 m/s2?
Answer:
6000/s^2
Step-by-step explanation:
Answer 6000/s^2
Step-by-step explanation:
Riley can dribble a basketball 50 times and 1/2 minute with her right hand and 30 times and 1/2 minute with her left hand what is the ratio of her right hand or left hand dribbling rate
Answer:
right 50:30 left
divide both sides by a common factor. (I've used 10 hcf)
right 5:3 left
