Step-by-step explanation:
Camilla started her collection with 20 buttons, meaning that this number is a constant, and that it will not change: (+20)
She then collects 5 buttons per month. Month is represented by the variable, x (given by the question), and there are 5 per month (so you multiply).
Set the equation:
Total pins = Amount of pins per month x amount of months + Amount of pins started.
y = 5x + 20
In this case, plug in the amount of months (x) to obtain your total (y):
When x = 0, y = 20
y = 5(0) + 20
y = 0 + 20
y = 20
When x = 1 , y = 25
y = 5(1) + 20
y = 5 + 20
y = 25
When x = 2, y = 30
y = 5(2) + 20
y = 10 + 20
y = 30
When x = 3, y = 35
y = 5(3) + 20
y = 15 + 20
y = 35
When x = 4, y = 40
y = 5(4) + 20
y = 20 + 20
y = 40
~
Note: This is a linear graph, so you can choose any of these given points (and more if you want to plot more). I would choose two that aren't too close to each other, unless you want a really small graph size.
Juan exercises more than 30 minutes per day.
Use t to represent Juan's amount of exercise (in minutes per day).
Use the clues and each of the numbers on the sign to complete the grid.
Clues
. All four numbers in a row must have a common factor greater than 1.
. Pairs of numbers in a column must have a common factor greater than 1.
Answer:
prayers lang po katapat nyan
A line with a slope of
–
1
8
passes through the points (4,
–
7) and (
–
4,k). What is the value of k?
A number x increased by 4 is less than or equal to 27.
Answer:
x + 4 < 27
-4. -4
x > 24
Step-by-step explanation:
put lines under signs
Which value for x makes the following equation true?
−2x−4=−6
Answer:
Step-by-step explanation:
−2x − 4 = −6
−2x − 4 + 4 = −6 + 4
−2x = −2
−2x/-2 = −2/-2
x = 1
The equation is,
→ -2x - 4 = -6
Let's solve for the value of x,
→ -2x - 4 = -6
→ -2x = -6 + 4
→ x = (-2)/(-2)
→ x = 2/2
→ [ x = 1 ]
Thus, the value of x is 1.
A woman can invest some money at 10% simple interest or at 8% compound interest. If
she invests $8000 for 3 years, find which is the more profitable investment and by how much.
Answer:
3/12 percent
Step-by-step explanation:
If the equation of the line is f(x) = 1/3x - 5 , what would be the new equation if there was a reflection over the y- axis, a dilation of -6, and a translation of 4 units up?
pls help I already solved but I'm not sure if I did a step out of order
Answer: Thus, after the transformation, the graph consists of points (x,y) satisfying y=2(x−3)2. This is the equation of the transformed graph.
Step-by-step explanation:
Consider the graph y=x2. Suppose the graph is dilated from the x-axis by a factor of 2, and then translated 3 units to the right. What is the equation of the resulting graph?
Solution
The transformation given is Trans(3,0)∘Dilx-axis,2. Denote by (x′,y′) the image of a point (x,y) under this transformation. A point (x,y) is sent to (x,2y) by the dilation, and then to (x+3,2y) by the translation, so (x′,y′)=(x+3,2y).
The original graph consists of points (x,y) such that y=x2. Then it is transformed so that (x,y)↦(x′,y′)=(x+3,2y). We must find what equation is satisfied by x′ and y′.
Since x′=x+3 and y′=2y, we have x=x′−3 and y=y′/2. Thus y=x2 implies
y′2=(x′−3)2or equivalentlyy′=2(x′−3)2.
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
1. If she eats 2 servings of granola, how many calories does she eat?
calories
2. If she wants to eat 1050 calories of granola, how many servings should she eat
servings
3. Write an equation that will give us the number of calories (c) from the number of servings (s) eaten.
Answer:
1. 700 calories
2. 3 servings
3. c = 350s
Step-by-step explanation:
1. 5 servings = 1,750 calories
divide by 5 on both sides
1 serving = 350 calories
multiply both sides by 2
2 servings = 700 calories
2. 1 serving = 350 calories
1050 calories = 350 calories X 3
3 servings = 1,050 calories
3. 1 serving = 350 calories
# of calories = 350 per serving
c = 350s
_8+5 I need helpplz
Answer:
8 plus five is 13..
Step-by-step explanation:
-3, -8, -13, -18,.. Find the nth term
Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
8.
Identify the point corresponding to Q.
A. Q′ (−4, 1)
B. Q′ (−1, −4)
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Answer:
C. Q′ (−3, −4)
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
50° x
how to find value of unknown angle
Answer:
a) 50
b) 86
c) x = 130 y = 50
Step-by-step explanation:
Opposite angles that share the same lines are always the same.
A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each.
How many bolts of muslin cloth does the pattern maker use each month?
Answer: 35.067 or 36, depending on if you need to round or not.
Step-by-step explanation:
The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.
Determine the correct equation for the following verbal sentence:
The ticket price, t, for a concert attended by 220 people equals the total revenue, r, divided by the number of people who attended.
a.
t = StartFraction r Over 220 EndFraction
c.
t = 220r
b.
t = 220 - r
d.
t = 220 + r
Answer:
t =
Given:
The total ticket price =t
Total number of people attended the concert = 350
Total revenue = r
To Find:
The expression for finding the t value
Solution:
The ticket price t =
Substituting the total number of people who attended the concert
t =
Step-by-step explanation:
Hope this helps:)
ZA and B are vertical angles. If mZA = (6x – 11)° and m B = (5x + 4)º,
then find the measure of ZB.
9514 1404 393
Answer:
∠B = 79°
Step-by-step explanation:
Vertical angles are congruent, so you have ...
6x -11 = 5x +4
x = 15 . . . . . . . . . . . add 11 -5x to both sides
5x +4 = 5·15 +4 = 79
The angles measure 79°.
_____
Checkk
∠A = 6x -11 = 6·15 -11 = 90 -11 = 79
What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water
Answer:
B. Petri dishes and sterile droppers
9,962÷41. What dose it =
Answer:
242.975609756
Step-by-step explanation:
Answer:
242.975
Step-by-step explanation:
TIP: u can use a calculator if your teacher allows you, it would be faster :)
Find the area of a rectangle with sides measurements 8 inches and 17 inches
Answer:
136 inches or 354.44cm
Step-by-step explanation:
17*8 = 136
Answer:
136 inches
Step-by-step explanation:
17 X 8 = 136 inches
What is the answer I’m so stuck on this one
Answer:
The answer is A
Step-by-step explanation:
answer me......
...................
......
........
...........
Answer:
Step-by-step explanation:
Okay! What times 9 is 90? 10!
what times 8 is 72? 9!
what times 7 is 56? 8
what times 6 is 42? 7!
what times 5 is 30? 6!
what times 4 is 20? 5!
what times 3 is 12? 4!
Do you see the pattern?
9=90
8=72
7=56
6=42
5=30
4=20
3=12
2=6
1=2
HOPE THIS HELPPEDD :3
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}
Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,
Answer:
[tex]a_n=-1+(n-1)(-2)[/tex]
Step-by-step explanation:
The arithmetic sequence formula looks like this:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:
[tex]a_n=-1+(n-1)(-2)[/tex]
Just to confirm:
[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]
And it works, -5 is the 3rd term in the sequence.
Answer:
[tex]a_{n}[/tex] = 1 - 2n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then
[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n
change the following numbers to decimals and round to the nearest hundredth 3÷4 and ✔10
Answer:
0.75 and 10.00
Step-by-step explanation:
Which steps show how to use the distributive property to evaluate 5 * 58?
Answer:
B.
Step-by-step explanation:
When using the distributive property, you distribute the leading number to each number inside the parentheses.
Answer:
Option B is correct.
Step-by-step explanation:
The answer of Option B is correct. 58 × 5 = 290.
Therefore, Option B is correct.
Introduction to Dividing Whole Numbers
Five friends shared $87 and kept this record of how they did it. What does the 2
represent?
Answer:
probably a
Step-by-step explanation:
You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4
A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.
to Linear Fun -unctions Which of the following terms in the equation y=xy + x + 20 makes it nonlinear? y DOOO ху 20
Answer:
xy
Step-by-step explanation:
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on he first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
n x¯¯¯ s x¯¯¯ s x¯¯¯ s
Coached 427 500 92 529 97 29 59
Uncoached 2733 506 101 527 101 21 52
Construct, using the conservative estimate for degrees of freedom, a 98% confidence interval for the difference, μc−μu between the mean gain of all students who are coached and the mean gain of all students who are uncoached.
An oil barrel contains 20.3 gallons of oil. One gallon is equal to 3.8 L. How many liters of oil are in the barrel?
Answer:
77.14L
Step-by-step explanation:
20.3x3.8=77.14L