Answer:
19
Step-by-step explanation:
multiply then add
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
28x
Step-by-step explanation:
Linear Equations
word problems
Mrs. Dyal starts the year with 150 pencils and
gives away an average of 10 pencils per week.
Represent with a function Represent with a graph
f(x)
Domain =
Range =
140
120
100
Pencils remaining
80
When will Mrs. Dual run
out of pencils?
Answer:
Part 1
The given information represented as a function, f(x) is;
f(x) = 150 - 10·x
Part 2
Please find attached the given information represented as a graph is created with Microsoft Excel
Part 3
Mrs. Dyal will run out of pencils after giving away pencils for 15 weeks
Step-by-step explanation:
The word problem relates to linear functions of the form f(x) = y = m·x + c
The given parameters are;
The number of pencils Mrs. Dyal has at the start of the year = 150 pencils
The number of pencils Mrs. Dyal gives away per week = 10 pencils
Part 1
Let "x" represent the number of weeks at which Mrs. Dyal is giving away the pencils
Given that she gives away 10 pencils each week, we have the function that represent the number of pencils remaining after "x" weeks is given as follows;
f(x) = 150 - 10×x.
The number of weeks, "x", that passes before Mrs. Dyal runs out of pencil (f(x) = 0) is given as follows;
f(x) = 0 = 150 - 10 × x
∴ 150 Pencils = 10 Pencils/Week × x
x = 150 Pencils/(10 Pencils/Week) = 15 Weeks
x = 15 Weeks
Therefore Mrs. Dyal will run out of Pencil at when x = 15 Weeks
Part 2
The function can be represented as a graph using the table of values as follows ;
Pencil remaining [tex]{}[/tex] Number of weeks
150 [tex]{}[/tex] 0
140 [tex]{}[/tex] 1
130 [tex]{}[/tex] 2
120 [tex]{}[/tex] 3
110 [tex]{}[/tex] 4
100 [tex]{}[/tex] 5
90 [tex]{}[/tex] 6
80 [tex]{}[/tex] 7
70 [tex]{}[/tex] 8
60 [tex]{}[/tex] 9
50 [tex]{}[/tex] 10
40 [tex]{}[/tex] 11
30 [tex]{}[/tex] 12
20 [tex]{}[/tex] 13
10 [tex]{}[/tex] 14
0 [tex]{}[/tex] 15
The domain = 0 ≤ x ≤ 15 {x ∈ N including 0}
The range = 0 ≤ f(x) ≤ 150
From the graph of the function created with Microsoft Excel, Mrs Dyal has no more Pencils left when x = 15 weeks
FILL IN THE BLANKS: To solve an algebraic equation, we must go in ______ order and use the ______ operations.
Elaina misses 2 free throws for every 10 attempts. How many free throws can you expect Elaina to make if she shoots 15 free throws in a game? Input your answer as a number with NO spaces!
Answer:
12
Step-by-step explanation:
Please answer this question
Answer:
I think the scale factor would be 1/6
Answer:
1/6
Step-by-step explanation:
3 feet = 3*12 = 36
Scale factor = 6/36 = 1/6
Use the Distributive Property. -9(2x-4y)
Answer:
-18x-36y
Step-by-step explanation:
Distributive Property:
-9*2x=-18x
-9*4y=-36y
-18x-36y
Write an algebraic expression for the verbal expression: three times the sum of X and Y increase by five times the product of x and 3y.
Answer:
3(x+y)+15xy
Step-by-step explanation:
Write an algebraic expression for the verbal expression: three times the sum of X and Y increase by five times the product of x and 3y.
Sum of x and y = x+y
three times the sum of X and Y = 3(x+y)
product of x and 3y = x(3y) = 3xy
five times the product of x and 3y = 5(3xy) = 15xy
Three times the sum of X and Y increase by five times the product of x and 3y will be expressed as;
3(x+y) + 15xy
Hence the required algebraic expression is 3(x+y)+15xy
(x + 3)2 – (2x – 1)2
Answer:
-2x+8
Step-by-step explanation:
A model baseball bat was designed using a scale factor of 1:3. If the
model bat is 10 inches long, how many inches long is the real bat?
Use the Rational Zeros Theorem to write a list of all potential rational zeros.
Answer:
Your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.
Is the following sequence arithmetic?
-14, 86, 186, 286, ...
A.No
B.Yes
Which function had the same y-intercept as the function y= 2/3 x-3
Answer:
y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.
Step-by-step explanation:
We need to find the function that had the same y-intercept as the function [tex]y=\frac{2}{3}x-3[/tex]
(Note: Since the options are not given, so I will find the y-intercept of the given equation and you can match it with the functions and find the y-intercept of the required function)
The equation given [tex]y=\frac{2}{3}x-3[/tex] is written in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Comparing equation [tex]y=\frac{2}{3}x-3[/tex] with [tex]y=mx+b[/tex] we get the value of b = -3
So, y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.
Now, for the options (not included) in the question, you can find y-intercept and function that have y-intercept = -3 will be the answer.
(4x2 + 6) + (2x2 + 6x + 3)
Answer for the points
6 − (9 − 2) + 3 × 6
Answer:
17
Step-by-step explanation:
USING BIDMAS (Brackets Indices Division Multiplication Addition Subtraction)
6 − (9 − 2) + 3 × 6
9-2=7
3x6=18
6-7+18=17
A rocking horse has a weight limit of 60 pounds. a)What percentage of the weight limit is 33 pounds?
Answer:
55%
Step-by-step explanation:
Par quelle fraction est multipliée l'aire d'un rectangle si l'on augmente sa longueur de son cinquième et sa largeur de son tiers ?
Répondre:
8/15
Explication étape par étape:
Prendre:
Longueur = x
Largeur = y
Zone du rectangle = Longueur * largeur
Un cinquième de longueur = x / 5
Un tiers de largeur = x / 3
Zone d'origine = xy
Nouvelle dimension:
Longueur = x + x / 5 = (5x + x) / 5 = 6x / 5
Largeur = x + x / 3 = (3y + y) / 3 = 4y / 3
Nouvelle zone = 6x / 5 * 4y / 3
Nouvelle zone = (24/15) xy
Fraction de la nouvelle zone par rapport à la zone d'origine:
(24/15) xy: xy
24/15: 1
24/15
= 8/5
Tracy ran a lap around the school track in 74.2 seconds. Malcolm ran a lap in 65.92 seconds. Estimate the difference in the times in which the students completed the lap.
Answer:
8.28 is the difference in times in which the students completed the lap.
Step-by-step explanation:
Subtract 74.20 and 65.92 and that gives you your answer.
Someone pls help ??:)
HELP PLS ILL MARK AS BRAINIEST !!!!
Answer:
Slope is -3/4
Y intercept is 7
y= -3/4x+7
Please help im stuck .-_-.
Answer:
y = 4
Step-by-step explanation:
y/16 = 5/20 = 2/8
y/16 = 1/4 = 1/4
Answer: 4
Step-by-step explanation:
My previous explanation got deleted
Find the value of x
11x-1+20x-3=151
Answer:
x = 5
Step-by-step explanation:
11x - 4 + 20x = 151
31x - 4 = 151
31x - 4 + 4 = 151 +4
31x = 155
31x/31 = 155/31
x=5
given g(x)=-3x-5, find g(-4)
Answer:
7
Step-by-step explanation:
Answer:
i got 7
Step-by-step explanation:
10. Determine if the triangles are congruent.
Answer:SAS
Step-by-step explanation:
Two similar rectangles have a scale factor of 3:2. The perimeter of the small rectangle is 50 feet. What is the perimeter of the large rectangle measured in feet?
Answer: The perimeter of the large rectangle measured 75 feet.
Step-by-step explanation:
For two similar rectangles,
[tex]\dfrac{\text{Perimeter of image }}{\text{Perimeter of pre-image }}=\dfrac{3}{2}[/tex]
The perimeter of the small rectangle is 50 feet.
Given ratio between two similar rectangles: 3:2
So,
[tex]\dfrac{\text{perimeter of large rectangle}}{\text{perimeter of small rectangle}}=\dfrac{3}{2}\\\\\Rightarrow\ \dfrac{\text{perimeter of large rectangle}}{50}=\dfrac{3}{2}\\\\\Rightarrow\ \text{Perimeter of large rectangle} =\dfrac{3}{2}\times50\\\\\Rightarrow\ \text{Perimeter of large rectangle} =75[/tex]
Hence, the perimeter of the large rectangle measured 75 feet.
The perimeter of a rectangle is the sum of the dimension of the rectangle
The perimeter of the larger rectangle is 75 feetThe ratio of the side length is given as:
[tex]Ratio = 3 : 2[/tex]
Represent the perimeters of both rectangles with
P1 and P2.
So, we have:
[tex]P1 : P2 = 3 : 2[/tex]
The smaller rectangle has a perimeter of 50 feet.
So, we have:
[tex]P1 : 50 = 3 : 2[/tex]
Express as fraction
[tex]\frac{P1 }{ 50 }= \frac 3 2[/tex]
Multiply both sides by 50
[tex]P1= \frac 3 2 \times 50[/tex]
[tex]P1= 75[/tex]
Hence, the perimeter of the larger rectangle is 75 feet
Read more about perimeters at:
https://brainly.com/question/24571594
Use the tables to help you compare the two ratios.
2 tables. One table has 2 rows. The first row has entries 3, 6, 9. The second row has entries 10, 20, 30. The second table has 2 rows. The first row has entries 1, 2, 3. The second row has entries 5, 10, 15.
Compare the ratios 1:5 and 3:10.
The ratio 1:5 is less than 3:10
The ratio 1:5 is greater than 3:10
The ratio 1:5 is equal to 3:10
The ratios cannot be compared
Given the data from the question, the correct statement is: the ratio 1:5 is less than 3:10
Data obtained from the questionFirst table:Row 1 = 3, 6, 9Row 2 = 10, 20, 30Second table:Row 1 = 1, 2, 3Row 2 = 5, 10, 15Comparison of ratio 1:5 and 3:10 =?How to determine the comparison of ratio 1:5 and 3:10To otain the comparison of both ratios, we shall determine the value of each ratio. This is illustrated below:
1 : 5 = 1 / 5
1 : 5 = 0.2
3 : 10 = 3 / 10
3 : 10 = 0.3
SUMMARY
1 : 5 = 0.23 : 10 = 0.3Thus, we can conclude that 1:5 is less than 3:10
Learn more about ratios:
https://brainly.com/question/2462048
#SPJ1
ella purchased 9 rews & umpts for about $24. Rews are $1 each and umpts are $6. write a system of equations in standard form to model relationship between rews (x) and umpts (y)
What is the equation, in standard form, of a parabola that models the values in the table?
x= -2, 0, 4
f(x)= 2.5, 1.5, -60.5
Answer:
y=-2.5[tex]x^{2}[/tex]+4.5x+1.5
Step-by-step explanation:
standard form of equation of parabola is,
y=a[tex]x^{2}[/tex]+bx+c
For x=0
1.5=0a+0b+c
1.5=c
For x=-2,
2.5=4a-2b+c
substituting the value of c
2.5=4a-2b+1.5
on solving,
4a-2b=1____________(1)
For x=4,
-60.5=16a+4b+c
substituting the value of c,
-60.5=16a+4b+1.5
on solving,
16a+4b=-62_______(2)
Multiplying equation 1 by 2,
8a-4b=2_______(3)
adding equation 2 and 3
16a+4b+8a-4b=-62+2
24a=-60
on solving,
a=-2.5
substituting the value of a in equation 1,
10-2b=1
2b=9
b=4.5
hence, equation of parabola in standard form is,
y=-2.5[tex]x^{2}[/tex]+4.5x+1.5
10+8+5+ ? HELPPPPPPPPPPPPPP
Answer: the answer is 23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
10+8+5=23
1. Sara bought cartons of raspberries that cost $1.50 and cartons of blackberries cost $2. Sara spent $11 buying raspberries and blackberries. She bought a total of 6 cartons. How many cartons of blackberries did she buy?
Sara brought a total of 5 cartons of blackberries. Since it said that Sara brought 6 cartons and you know that the cost of the blackberries are $2, you multiply 6 with 2 but its 12. But if Sara brought 2 cartons of raspberries it will be $3. Now you subtract 6 with 2 since you used 2 cartons on raspberries and now multiply $2 with 4 and get 8. 8+3=11, which is exactly how much she needs. This means that Sara brought 4 cartons of blackberries.
find the value of x
A) 3
B) 14
C) 5
D) 2
Answer:
C) 5
Step-by-step explanation:
The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)
The sum of all the angles of a triangle is 180° as well.
You can write an equation to solve for x.
12x + 9x + 75 = 180
Isolate x.
12x + 9x = 180 - 75
12x + 9x = 105
Add the 12 and the 9.
21x = 105
Find what x is.
x = 105 ÷ 21
x = 5
