1. Jose is planning a sixteenth birthday party for his friend. The invitations
cost $15, and each invitation will cost $0.39 to mail.
a. Write a linear function if C is the total cost and p is the number of
people invited.
Answer:
C= 0.39p
or
15=0.39p
Step by Step
$0.39 times the amount of people the invitation is being sent to
A bus driver made 100 stops on his route in 5 days. The double number line shows the relationship between the number of stops and the number of days. What is the rate of stops per day? What is the unit rate?
Answer: 20 stops a day
Unit rate:20
Step-by-step explanation: since the number of stops is 20 times the number of days, the rate is 20 stops per day so the unit rate is 20
What are the coordinates of G, H, and I after a rotation about (0,0) by 90 degrees clockwise? Plot these points on the grid, and label the, G', H', and I'. G = (-1,3) H = (-4,0) I = (3,-2)
Given :
Three points G ( -1,3 ) , H ( -4,0 ) and I ( 3,-2 ) .
To Find :
These points on rotating 90° clockwise about ( 0,0 ).
Solution :
Rotation of point ( h,k ) about (0,0) by 90° clockwise is ( k,-h ) .
So points :
G' is ( 3,-(-1) ) = ( 3,1 )
H' is ( 0,-(-4) ) = ( 0,4 )
I' is ( -2,-3 ) .
Therefore , rotation about (0,0) by 90 degrees clockwise is ( 3,1 ), ( 0,4 ) and ( -2,-3 ) .
Hence , this is the required solution .
what is the answer to
9(2r-5)-3<7r-4
Answer:
4
Step-by-step explanation:
[tex]18r - 45 - 3 < 7r - 4 \\ 11r < 44 \\ r = 4[/tex]
Find the circumference and area of a circle with a radius of 7 m. Use the π key on your calculator and round to the nearest tenth.
Answer:
The answer is 44.0 mStep-by-step explanation:
The circumference of a circle = 2πr
where
r is the radius of the circle
From the question
r = 7 m
Substitute this value into the above formula and solve
That's
C = 2(7)π
= 14π
= 43.9822971502
We have the final answer as
44.0 m to the nearest tenthHope this helps you
Circumference formula: C = 2πr
C = 2π(7)
C = 14π
C ≈ 43.98
Area formula: A = πr²
A = π(7)²
A = 49π
A ≈ 153.94
Best of Luck!
Which of the following is not a characteristic of a point?
12. You are saving for a bike and can save $10 per week. You have $25 when you begin saving.
# of weeks
1
2
3
4
5
6
7
Amount of money saved
Explanation:
Answer:
$95
Step-by-step explanation:
I you need to see how much you would save after 7 weeks, and you save $10 a week, that would be 7*$10 and if you start with $25 you add it.
$25 + 7*($10) =
$25 + $70 = $95
After 7 weeks you would have saved $95.
If you need to know your savings each week, start with $25, and add $10 to it each week.
$25
Week 1 - $25 + 10 = $35
Week 2 - $35 + 10 = $45
Week 3 - $45 + 10 = $55
Week 4 - $55 + 10 = $65
Week 5 - $65 + 10 = $75
Week 6 - $75 + 10 = $85
Week 7 - $85 + 10 = $95
5. Given that ABD and DBC form a linear pair, find the value of x if ABD = x° and DBC =80°.
Step-by-step explanation:
ABD+DBC=180°
x+80°=180
x=100°
Calculate the midpoint of segment EF if E (3, 4) and F (7,2).
Answer:
The answer is
( 5 , 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E (3, 4) and F (7,2)
The midpoint is
[tex]M = ( \frac{3 + 7}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( \frac{10}{2} \: , \frac{6}{2} )[/tex]
We have the final answer as
( 5 , 3)Hope this helps you
.-4x - 5 - 3x = x +7
Answer:
x = -1 1/2 , x = 1.5
Step-by-step explanation:
Answer:x=12
Step-by-step explanation:
Subtract
3x
from both sides of the equation.
4x−5−3x=7
Subtract
3x from 4x.x−5=7Move all terms not containing x to the right side of the equation.
Add 5
to both sides of the equation.
x=7+5Add 7and 5
.
x=12
Jesse plays table tennis for 60 minutes every week. how much time foes jessie spend time playing table tennis in 3 weeks?
Hey there! I'm happy to help!
Jesse plays for 60 minutes every one week. To find the amount in 3 weeks, we just multiply by 3.
60(3)=180
Jesse plays table tennis for 180 minutes in 3 weeks.
Have a wonderful day! :D
Triangle M is also a scaled copy of S. The scale
factor from S to M is 3/2 What is the scale
factor from M to S?
Answer:
I believe it’s 2/3
Step-by-step explanation:
If s to m is 3/2 then m to a should be 2/3 not 100% sure though
is 5/16 irrational or rational
Step-by-step explanation:
m/n is a rational number if and only if both m and m are integers.
Since 5 and 16 are integers, the fraction 5/16 is rational.
Use the drop-downs to choose the value for the
variables in the table.
The table represents the function f (x) = 5x - 8.
Find f(-4):
f(-4)= 5(-4)-8
f(-4) = -28
Answer:
a=-18
b=7
c=27
Step-by-step explanation:
Given the function f (x) = 5x - 8 ,for different value of f(x)
f (-2)=-18
f (-2)=7
f (-2)=27
How to solve function?
A) for f (x) = 5x - 8 where f (-2).
⇒ f (-2) = 5x - 8
⇒ f (-2) = 5(-2) - 8
⇒ f (-2) = -10 - 8
⇒ f (-2) =-18
B) for for f (x) = 5x - 8 where f (3).
⇒ f (3) = 5x - 8
⇒ f (3) = 5(3) - 8
⇒ f (3) = 15 - 8
⇒ f (3) =7
C) for f (x) = 5x - 8 where f (7).
⇒ f (7) = 57 - 8
⇒ f (7) = 5(7) - 8
⇒ f (7) = 35- 8
⇒ f (7) =27
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Convert 60 to a fraction,
Answer:
3/5
Step-by-step explanation:
explain proportionality to me 7th grade math
If two quantities a and b are directly proportional to one another, then both a and b change in the same direction.
For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.
Both a and b don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor k, so that
a = kb
Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is a, then the amount of coffee I pour in is b = 1/2 a. So the relationship of these two quantities is governed by the equation,
a = 2b
and in this case, k = 2.
If instead a and b are inversely proportional, this means as one quantity changes, the other changes in the opposite direction.
Suppose I have two cups that I use for coffee that can both hold the same amount k if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.
The cups are cylindrical, so that their volumes are equal to the products of the area of their base a and their height b. If one cup is twice as tall as the other, then for the smaller cup we could have
ab = k
and for the taller one,
a (2b) = k
But in order to get the same volume, the quantity a for the shorter cup must be cut in half to preserve equality:
(1/2 a) (2b) = ab = k
So one quantity is doubled (increases), while the other gets halved (decreases).
1-3x=3x+1 ANSWER NUMBER FORM NO WORDS AT ALL
Answer: x=0
Step-by-step explanation:
1-3x=3x+1
6x=0
x=0
5(5t + 1) = 25t-7
Can someone help me with this solution??
Simplify and determine the coefficient of (- 2/3x)(-x)(3y)(-2x)
Solving square root equations
8 = square root of 15x + 4
Answer:
x is 4.
Step-by-step explanation:
8 times 8 is 64
64 minus 4 is 60
60 divided by 15 is 4
The intersection of two planes contains at least two points.
A.) always
B.) Sometimes
C.) Never
Answer:
A
Step-by-step explanation:
The solution is Option A. Always
The intersection of two planes contains at lease two points
What is intersection of two planes?
When two planes intersect, they form a line.
The vector equation for the line of intersection is given by
r = r₀ + tₓ
where r₀ is a point on the line
tₓ is the cross product of the normal vectors of the two planes.
The parametric equations for the line of intersection are given by
x = a , y = b and z = c
where a, b and c are the coefficients from the vector equation
r = a (i) + b (j) + c (k)
The line of intersection will be perpendicular to the normal of both the planes
The line of intersection lies on both the planes
Therefore , a line is observed at the intersection of two planes
Hence , the intersection of two planes always contains at least two points and it forms a line
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A herd of 98 horses has 19 white and some black horses. What is the ratio of black horses to all horses?
Answer:
79 : 98
Step-by-step explanation:
Total horses = 98
White horses = 19
Black horses = 98 - 19 =79
Ratio of black horses to all horses = 79/98 = 79 : 98
Answer:
79:19
Step-by-step explanation:
Given
y=x²+4x+3
find the vertex,
focus and
directrix
Answer:
Step-by-step explanation:
The given y=x²+4x+3 should be re-written in "vertex form," which is
y = a(x - h) + k, where (h, k) is the vertex.
Here y=x²+4x+3 = y=x²+4x + 4 - 4 +3 (completing the square), or
y = x^2 + 4x + 4 - 1. which condenses to y = (x + 2)^2 - 1
Thus, h = -2 and k = 1, and so the vertex is at (h, k), or (-2, 1). This parabola opens up. The axis of symmetry is the vertical line x = -2.
An alternative equation for a vertical parabola that opens up is:
y - k = 4p(x - h)^2. Rewriting y = (x + 2)^2 - 1 to fit this form leads to:
y + 1 = 4p(x + 2)^2. We must find the value of p that makes this equation true at any (x, y) on the graph. Suppose we arbitrarily choose x = 1. Then, according to y=x²+4x+3, y = 1^2 + 4(1) + 3, or y = 8 when x = 1.
Then y - k = 4p(x - h)^2 becomes 8 - 1 = 4p(1 + 2)^2, or
7 = 4p(9), or p = 7/36
The focus is thus 7/36 units above the vertex: (-2 + 7/36), and the directrix is the horizontal line which is 7/36 units below the vertex: y = -2 - 7/36.
Vertex: (-2, 1)
Focus: (-2, 2 7/36)
Directrix: y = -2 7/36
Solve for X. Type in your numerical answer only, do not type the degree symbol.
20x + 5
24x - 1
Answer:
x = 4
Step-by-step explanation:
Due to the Consecutive Interior Angles rule, c + e = 180. So, 20x + 5 + 24x - 1 = 180.
If you solve, you will get x = 4
Work:
20x + 5 + 24x - 1 = 180 [Add like terms]
44x + 4 = 180 [Isolate the variable]
44x = 176 [Solve]
x = 4
Measuring Angles. Please help me this is due at 11:59. Please and thank you
Answer:
X=5
Step-by-step explanation:
17x-3+17x+8=175
17×+17×+8-3=175
34x+5=175
34x=175-5
34x=170
X=5
8x:2+9=3x+13 What is the result of this equation? Plssss Qual é o resultado dessa equação? Pfv
The local gym charges a monthly membership fee of $5 and $2.25 Per day
Answer:
y=2.25x+5, where y is the total cost and x is the number of days
You recently received a gift card from Game Stop for $75. You want to rent only games. The cost for renting a game is
$3.25. How much is on the card after renting 1 game? 2 games? 3 games? 15 games? X games? After renting how many
games will you run out of money? Will there be any money left on the card? How much?
Solve for x when f(x) = 0
The answer what?
Answer:
3.25×2= 6.50
3.25×3=9.75
3.25×15= 48.75
3.25×23= 74.75
he will run out of money after renting 74 games.
HELP ASAP
SOLVE FOR X -x = -5 5/7
x = 4 3/8
x = -4 3/8
x = 5 5/7
What is 5/6=x-10/3x+6
Answer:
x = 31/14
Step-by-step explanation:
Step 1: Multiplying Sides.
5 = 6x - 20x + 36
Step 2: Collecting Like Terms.
5 = -14x + 36
Step 3: Moving the Terms
14x + 5 = 36
Step 4: Subtracting the numbers
14x = 36 - 5
Step 5: Dividing. 14 / 31
Answer:
31/14
Hope this helped
Brainliest is appreciated.