Answer:
{5, 6, 7}
Step-by-step explanation:
The solution to the inequality is ...
16 -r > 8 . . . . . given
16 -8 > r . . . . . add r-8
8 > r . . . . . . . simplify
The values in the replacement set that are less than 8 are {5, 6, 7}.
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].
To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.
Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].
Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
consider the equation n=2/5m-30 for what value of m is n equal to 50?
Answer:
m = 200
Step-by-step explanation:
Substitute n = 50 in the equation
n = 2/5m - 30
50 = 2/5m - 30
50 + 30 = 2/5m
80 = 2/5m
m = 80 ÷ 2/5
m = 200
Please help me with this math problem!! :)
Answer:
16.67%, 50%, 16.67%
Step-by-step explanation:
There are 6 different ways that the 4 kids can be paired up, so any one of the ways is rounded to 16.67%. So a and c are 16.67%
Not Zack is any pairing that doesn't have a Z. That is 3 out of 6, which is 50%.
I need help on this question
Answers : A and D
Step - by - step explanation :
tip : when finding constant of proportionality it's always Y divided by X
A = what is 22.5 divided by 3 ? 7.5 ( now multiply 7.5 by the next X [ 4 ] )
what is 7.5 x 4 ? 30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )
B = what is 12 divided by 3 ? 4 ( now multiply 4 by the next X [ 5 ] )
what is 4 x 5 ? 20 ( and because the graph says 25 then you know it's NOT a proportional relationship )
C = what is 8.5 divided by 2 ? 4.25 ( now multiply 4.25 by the next X [ 5 ] )
what is 4.25 x 5 ? 21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )
D = what is 10 divided by 2 ? 5 ( now multiply 5 by the next X [ 3 ] )
what is 5 x 3 ? 15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )
( sorry it took me so long to write this )
Determine the slope of the line. what does it represent about the plant?
Answer: slope is 2/3
Step-by-step explanation:
The table shows a function. Is the function linear or nonlinear?
Answer:
nonlinear
Step-by-step explanation:
HELPPPP The volume for the above figure is
A. 7297 cm3
B. 817 cm2
C. 486 cm3
D. none
of the above
Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.
Answer:
k = {3, 11}
Step-by-step explanation:
Taking the square root of the given equation, we find ...
x +k = ±4
For x = -7, this is ...
-7 +k = ±4
k = 7 ±4 = {3, 11}
Possible values of k are 3 and 11.
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
Taking square root on the both sides of equation (x + k)² = 16 we get,
[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]
[tex]\implies\rm{x + k = ± 4}[/tex]
Making two conditions for ± 4 i.e
1) x + k = 4
[tex]\implies\rm{ - 7 + k = 4}[/tex]
[tex]\implies\rm{k = 4 + 7}[/tex]
[tex]\implies\rm{k = 11}[/tex]
2) x + k = -4
[tex]\implies\rm{ - 7 + k = - 4}[/tex]
[tex]\implies\rm{k = - 4 + 7}[/tex]
[tex]\implies\rm{k = 3}[/tex]
Thus the values of k can be either 11 or 3.find x and y for this triangle
Answer:
x = 1.25
x = 1.75
Step-by-step explanation:
I marked the points of this triangle in the attached image so it's easier to explain.
ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.
[tex]\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}[/tex]
The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.
[tex]\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25[/tex]
Now, you can do the exact same thing for y:
[tex]\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75[/tex]
Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.
Answer:
both Elias and Greyson
Step-by-step explanation:
You guys are awesome with these questions I'm really struggling with this one p[lease help me out.
Try 12.
Hope it helps?
Answer:
12
Step-by-step explanation:
12 x 4 = 48
48 + 9 = 57
yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
Answer:
6
Step-by-step explanation:
5% of 120 were late
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
Maya’s bird feeder holds 1/2 of a cup of bird seed. Maya is filling the feeder with a scoop that hold 1/6 of a cup of birdseed how many scoops will maya put into the feeder
Answer:
3 scoops
Step-by-step explanation:
If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.
1/6 + 1/6 + 1/6
= 3/6
= 1/2
Scott is shopping for juice at the grocery store. He is deciding between two bottles of juice:
•16 oz. of juice for $2.00, and
•24 oz. of juice for $2.40.
Which bottle of juice is the better buy?
Answer:
24 oz
Step-by-step explanation:
16 + 16 is 24. and if you were to buy two 16 oz juices, it would make the price $4.00. So, you're getting double the amount of 16 oz juice for $1.60 off.
what is10 + 9
i really dont know
can someone help me
[tex] \huge \green{ \boxed{ANSWER}}[/tex]
[tex]10 \: + \: 9 \: = {\boxed{19}}[/tex]
USE CALCULATOR -_-
[tex] \mathfrak{JazmineChoi}[/tex]
STAN TREASURE
Answer:
19
Step-by-step explanation: 10 +9 = 19
WILL GIVE BRAINLIEST
y = 2x - 9
y = 1/2x + 3
These two lines are:
parallel
perpendicular
neither
Answer:
neither
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 9 ← is in slope- intercept form
with slope m = 2
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel
2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular
Put the numbers in order from least to greatest.
39% , 0.42 , 11/25
Answer:
39%, 0.42, 11/25
Step-by-step explanation:
First, let's convert the percentage and the fraction into decimals, to make out lives so much easier.
39% = 0.39
11/25 = 0.44
Now, we reorder.
0.39, 0.42, 0.44
Finally, we convert the percentage and the fraction back into their original forms, and adjust the order.
39%, 0.42, 11/25
-hope it helps
Complete the equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,−2)left parenthesis, 7, comma, minus, 2, right parenthesis.
Answer:
Your answer would be y= -x + 5
Step-by-step explanation:
Hope I helped!
Answer:
-x+5
Step-by-step explanation:
khan told me ;p
rectangle A and B are identical. each has a perimeter of 40cm. they are put together to make a new rectangle. the perimeter of the new rectangle is 68cm. work out the length and width of rectangle A.
Answer:
6 cm by 14 cm
Step-by-step explanation:
The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...
(40 cm) +(40 cm) -(68 cm) = 12 cm
Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...
(40 cm)/2 -6 cm = 14 cm
The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.
Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.
Which family is farther from the marina? Explain your reasoning.
Answer:
A
Step-by-step explanation:
We can solve this by drawing it out
Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.
Write the following equations.
Answer:
Step-by-step explanation:
4. 2x + 1 = 17
5. x-13 = 94
6. x/2 = 7
7. 5x = 35
8. x + 43 = 84
9. x-18 = 36
10. x = 8y
11. x = y - 5
12. x + (x+1) + (x+2) = 18
13. x = y + 4
14. 2x + 8 = 24
1/4 of 90. …………………????
Answer:
22.5
Step-by-step explanation:
Problem 1: Solution to the system of equations
A line is parallel to the line for the equation: -9y = 2x + 35.
What is the slope of the parallel line?
Answer:
-2/9
Step-by-step explanation:
if the line is parallel it has the same slope.
The equation can be written as y = -2/9x - 35/9
so the slope is -2/9
Find the value of x.
Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
PLEASE HELP SOMEBODY!!!!!!!!!! I uploaded a picture below.
PLEASE HELP ME!!!
Maggie's brother is 7 years younger than four times her age. The sum of their ages is 68.
How old is Maggie?
=============================================
Explanation:
m = Maggie's age (some positive whole number)
4m = four times her age
4m-7 = seven years younger than 4m = brother's age
Add up her age (m) and her brother's age (4m-7) to get a sum of 68.
m+(4m-7) = 68
5m-7 = 68
5m = 68+7
5m = 75
m = 75/5
m = 15
Maggie is currently 15 years old.
Her brother is currently 4m-7 = 4*15-7 = 60-7 = 53 years old.
Their current year ages add to: 15+53 = 68 which confirms the answer.
∣ x + 1 − x 2 ∣ = 2 ( 2 x 2 − 1 )=
Answer:
X = 7
Step-by-step explanation:
∣ x + 1 − x 2 ∣ = 6
∣ -x + 1 ∣ = 6
-7 + 1 = -6
Absolute value of -6 is 6
x = 7
The value of x for the expression is equal to 7.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of x is solved as,
∣ x + 1 − x 2 ∣ = 6
∣ -x + 1 ∣ = 6
-7 + 1 = -6
The absolute value of -6 is 6
x = 7
Therefore, the value of x for the expression is equal to 7.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with???
Answer:
46.85
Step-by-step explanation:
He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85
What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?
Answer:
Step-by-step explanation:
Let's find an equation by starting with the slope intercept form:
y = mx + b
where m is the slope and b the y-intercept (the value of y when x=0).
We are given the slope, so:
y = -(1/3)x + b
Now we need to find a value for b that will force the line to go through point (-6,-6). We can determine by putting the point (-6,-6) into the equation and solving for b:
y = -(1/3)x + b
-6 = -(1/3)(-6) + b [Enter the point (-6,-6]
-6 = 2 + b
b = - 8
The equation becomes y = -(1/3)x - 8.
See the attachment.
Which expression has been solved with the following number line?
Answer:
Step-by-step explanation:
Add 116 to 123 and then subtract it by the larger number and 323