Given:
Initial speed of typing = 35 words per minute
At the end of the course her typing speed = 77 words per minute
To find:
The percent of increase in her typing rate.
Solution:
We know that,
[tex]\text{Percent of increase in her typing rate}=\dfrac{\text{New speed - initial speed}}{\text{Initial speed}}\times 100[/tex]
[tex]\text{Percent of increase in her typing rate}=\dfrac{77-35}{35}\times 100[/tex]
[tex]\text{Percent of increase in her typing rate}=\dfrac{42}{35}\times 100[/tex]
[tex]\text{Percent of increase in her typing rate}=120\%[/tex]
Therefore, her typing rate is increased by 120%.
Caleb and his sister are combining their trading cards. He has 29 cards, and she has 16 cards. They then trade an equal number of cards to 9 friends. How many cards does each friend get?
Answer:
The answer is 5 cards.
Step-by-step explanation:
Yu have to add 29 and 16 . When yu do that yu get 45 cards total. Divide 45 by 9 (friends) yu get 5 cards per person.
Pedro and John are going on a field trip with school. Together the boys have $62 to spend on the trip. If Pedro has $15 more than John, how much money does John have? Write a function rule (equation) that represents the situation.
Answer:
John has $23.5Step-by-step explanation:
Step one:
we are told that their joint amount is $62
let John's amount be x
and Pedro's amount be y
so that y=x+15
Step two:
The equation to represent the situation is
62=x+(x+15)
open the bracket and solve for x we have
62=x+x+15
62=2x+15
2x=62-15
2x=47
divide both sides by 2
x=47/2
x=23.5
John has $23.5
11/6 = 1/3 + p
(Find the common denominator first.)
Answer:
p = 3/2
Step-by-step explanation:
-2x-5=4 solve for x and please tell me how you got it
Answer:
x = -9/2 or -4.5
Step-by-step explanation:
-2x-5=4
Add 5 to each side
-2x-5+5=4+5
-2x = 9
Divide each side by -2
-2x/-2 = 9/-2
x = -9/2 or -4.5
The number of scares a clown will get for the night can be modeled with the equation `y=2x`. Vampires have an equation that is parallel to clowns and passes through the point (4, 11). What is the vampire's equation?
Answer:
ghvucycygifud5duvufysyvkcyxhvucydycibkx
Step-by-step explanation:
huh gg xtdy"#gicyfufucyxyhhjv ycyf cyst
Answer:
the answer is 3×2+2
Step-by-step explanation:
3x2=9+2=11
Edward deposited $9,500 into savings account 2 years ago. The simple interest rate is 4%. How much money did Edward earn in interest ? What would be his new account balance
Answer:
$760 earned in intrest
$10260 new account balance
Step-by-step explanation:
First we have to find 4% of 9500
use the formuala
[tex]\frac{4}{100} =\frac{x}{9500}[/tex]
4×9500=38000
38000÷100=380
now 380×2=760
add 760 to 9500 for new account balance
Question 2 (2 points)
(08.06)
Using the graph below, calculate the average rate of change for f(x) from x = 0 to x=2.
a: x=-4
b: x=-2
c: x= 2
d: x= 4
Answer:
Option (D)
Step-by-step explanation:
Formula to get the average rate of change of the function f(x) between two points x = a and b is,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
We have to calculate the average rate of change between x = 0 and x = 2.
From the graph attached,
f(0) = -2
f(2) = 6
Therefore, average rate of change = [tex]\frac{6-(-2)}{2-0}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4
Option (D) will be the correct option.
Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, but does not want to put the Steelie and the Tiger next to one another. In how many ways can she do this?
Answer:
Step-by-step explanation:
Oops I meant "there are 3! = 6 ways to permute ABTS that have TS."
There are 12 different combinations to display marvel that doesn't involve Steelie and the tiger.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf but does not want to put the Steelie and the Tiger next to one another.
We want the number of ways to permute the string ABST that has S and T separated.
Total ways of displaying marbles = 4! = 24
If S and T are together, then the permutation contains the consecutive pair ST or TS somewhere. We can count these possibilities by regarding ST or TS as a single symbol
permutation of getting them together = 2 * 3!
permutation of getting them together = 12
Thus,
total desired combination = Steelie and tiger do not come together
total desired combination = 24 - 12 = 12
therefore, There are 12 possible combinations of displaying marvel without making Steelie and tiger together.
Learn more about Permutation and combination here:
https://brainly.com/question/15268220
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what cannot be rational??
Answer:
the 4th one
Step-by-step explanation:
3.05 Quiz: Congruent Polygons and Their Corresponding Parts. Pls help ;-;
Answer:
The correct options are presented as follows;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent
Step-by-step explanation:
The coordinate of the preimage point A = (-2, 1)
The coordinate of the image point A' = (2, 1)
Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)
Which is equivalent to a reflection across the y-axis
Similarly, we have;
The coordinate of the preimage point A' = (2, 1)
The coordinate of the image point A'' = (-1, 2)
Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)
Similar for points B and B', C and C'
Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent
Therefore, we have;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.
if you need help with Math:)
Answer:
Thanks!
Step-by-step explanation:
I already have it on my phone tho lol
47 multiplied by 6 is?
Answer:
282
Step-by-step explanation:
47*6=282
Forty seven six times.
What is the area of the following trapezoid 210 280 420 140
Answer:
Step-by-step explanation:
A= a+b/2 h (area = a +b over 2 times H) plug in your numbers
I dont have a picture, if i did i could solve it, but here is the formula
This is the last one, can u help me
Answer:
B
Step-by-step explanation:
Answer:
B) SAS
Step-by-step explanation:
The side is marked equal, they are both 90 degrees and they share a side. Side Angle Side.
Three pumpkins are catapulted at a contest. How much farther does Pumpkin C travel than Pumpkin A? • Pumpkin A travels 0.61 mile. • Pumpkin B travels 0.28 mile farther than Pumpkin A. • Pumpkin B travels 0.06 mile farther than Pumpkin C.
Answer:
0.22 miles
Step-by-step explanation:
Let
A = Distance pumpkin A travels = 0.61 miles
Distance pumpkin B travels is 0.28 mile farther than Pumpkin A
[tex]B=0.28+A\\\Rightarrow B=0.28+0.61\\\Rightarrow B=0.89\ \text{miles}[/tex]
Distance pumpkin B travels is 0.06 miles further than pumpkin C
[tex]B=0.06+C\\\Rightarrow C=B-0.06\\\Rightarrow C=0.89-0.06\\\Rightarrow C=0.83\ \text{miles}[/tex]
To calculate how much farther pumpkin C travels than pumpkin A we have the subtract their distances
[tex]C-A=0.83-0.61=0.22\ \text{miles}[/tex]
So, pumpkin C traveled 0.22 miles more than pumpkin A.
Function g is represented by the graph. For what input value or values is g (x) = 4?
Answer:
-2 and 2
Step-by-step explanation:
When you look at the graph, you see that the line is in a U shape. We are trying to see what the value of g(x)=4. Since g is represented by the graph, the equation equals 4. The 4 in the equation is positive so you would look at the graph for a positive 4. There are 2 positive 4's on the graph; one on the x axis and one on the y axis. If you look at the U-shaped line, you see that it passes the 4 on the y axis. (the point -2,4 has the 4 as y and the point 2,4 has 4 as y). This makes the answer -2 and 2 because both the numbers have 4 as the y when you put them as points.
Solve for n, 4 x n = 7 x 16
Answer:
n=28
Step-by-step explanation:
Do I have to explain how i got the answer?
Answer:
4n=112
n=112/4
n=28
Step-by-step explanation:
Please give me brainliest, if I helped you
A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?
Answer:
210
Step-by-step explanation:
Percentage Calculator
The value of the phone after 2 years will be equal to $388.8.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.
Given that the cell phone costs $750 and loses 28% of its value each year. The value of the phone after 2 years will be,
The value of the phone after 2 years will be calculated as,
Cost of phone = 750 x ( 0.28 )²
Cost of the phone = $388.8
To know more about an expression follow
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What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16
Answer:
-3.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve for X
[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex]
Answer:
[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]
[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
who can ask me a question about addition?
What's 7.778 to the nearest hundred
Answer:
7.78
Step-by-step explanation:
Answer:
The answer is 7.78
Step-by-step explanation:
I had this on a test and got it correct
MARK THE BRAINLIEST PLEASEEE
Don't go by my answers pls
Answer:
19) ( [tex]\frac{-2}{5}[/tex])^2 = [tex]\frac{4}{25}[/tex]
20) -[tex]9^{2}[/tex] = -81
21) [tex]2^{4}[/tex] = 16
Step-by-step explanation:
The only wrong ones are
19) ( [tex]\frac{-2}{5}[/tex])^2 = [tex]\frac{4}{25}[/tex]
20) -[tex]9^{2}[/tex] = -81 ... negative is not inside a parenthesis that's why it is still negative
21) you can add another way is [tex]2^{4}[/tex] = 16
Everything else looks good. Great job!
Dustin says the product of 4.5 x 0.8 is equal to 3.6. Which explains whether or not his answer is correct
Find the value of 4x2 – 2y when x = 3 and y = 2.
Answer:20
Step-by-step explanation:
4(3)2-2(2)
12(2)-4
24-4=20
PLZ HELP! WILL MARK BRAINLIEST!! The graphs of linear functions f and g are shown on the graph. Which function is best represented by the graph of g?
A. g(x) =f(x)-4
B. g(x) = 1/3 f(x)
C. g(x) = f(x)-2
D. g(x)=3f(x)
Answer:
B
Step-by-step explanation:
f(x)=x (slope is 1, y-intercept is zero)
g(x) = (1/3)x (slope is (1/3), y-intercept is zero)
(1/3)x = (1/3)f(x)
Answer:
B
Step-by-step explanation:
as u notice the slop of f function is higher than g function so g(x) is approximately one third of function f and there are no shifts in g(×) so no need for sum of subtract .
what about this one? can this be answered please? : )
Answer:
c. y=7x-2
Step-by-step explanation:
hope this can help
if two people were to go to the movies and share the cost of what they paid. how much would they both pay? $2 for snacks $13 for the tickets. p.s. it could be a decimal of fraction ig
Answer: $7.50
Step-by-step explanation: they spent 15 n if they split that it’s 7.50
1 - 0.27
6
can you subtract this
Answer:
yes the answer would be 0.724
The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive positive integer is x + 1, and the third is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.)
Answer:
There's two answers.
-5, -4, and -3
3, 4, 5
Step-by-step explanation:
[tex]x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\[/tex]