Answer:
The hiking club's member count increased by 48%.
Step-by-step explanation:
We are given two data values: 25 members and 37 members. We need to determine how many members the club gained first. We can set up an equation where we solve for an unknown, or x, in this case.
[tex]25 + x = 37\\\\x = 12[/tex]
The club increased by 12 members, so now we can divide this value by the initial amount of members and multiply the decimal we receive by 100 to express it in percentage form.
[tex]\frac{12}{25} =0.48\\\\0.48 \times 100 = 48\%[/tex]
Therefore, the club's member count increased by 48%.
Answer:
25+12=37
There would be 48%.
In a chest there are some gold coins. Captain takes half the
coins. Sally takes a fourth of the coins. There are 3 coins left.
How many coins were in the chest at the start?
Answer:
7
Step-by-step explanation:
4+3=7
Answer:
There were 12 gold coins in the chest at the start.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = Number of gold coins in a chest
1/2x = Number of gold coins taken by the captain
1/4x = Number of gold coins taken by Sally
3 = Number of gold coins left
2. How many coins were in the chest at the start?
Let's write the following equation to solve for x:
1/2x + 1/4x + 3 = x
2x + x + 12 = 4x (Lowest Common Denominator is 4)
4x - 2x - x = 12 (Like terms)
x = 12
There were 12 gold coins in the chest at the start.
Hope this helps :D
Write an equation in slope-intercept form of the line that passes through the given points.
х
у
-2
2
0
1
2.
0
4
-1
Answer:
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).
Step-by-step explanation:
Was i right?!?
Which of the following equations would have to be the second equation so that the system has no solutions?
A. y = -x
B. 9y = 6x
C. y = x - 4
D. 6x - 4y = 6
Answer:
I put 9y=6x
Step-by-step explanation:
I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .
5x-3(x-2)=4
This is for Algebra 1
Answer:
5x-3(x-2)=4
5x-3x+6=4
2x+6=4
2x= 4-6
2x= -2
x = -1
Can you find the slope-intercept of the line? Thank you!
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = x + 2 ← equation of line
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
Triangle P'Q'R is the image of PQR under a transformation
Answer:
what is your question
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no picture....
what is x times x times y times y plz
Answer:
im sorry if im wrong but im sure its xy
Step-by-step explanation:
Answer: x^2y^2
Step-by-step explanation:
x*x=x^2
y*y=y^2
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
Which expression is equivalent to 8c + 6 - 3c - 2 ?
A)5c + 4
B)5c + 8
C)11c + 4
D)11c + 8
Answer:
I believe the answer is 5c + 4.
Step-by-step explanation:
The first step in simplifying expressions like this is to combine the values with the same coefficient and rearrange them so that they are next to each other in the expression. When you do this, you also have to keep the operation that comes before it if possible. 8c + 6 -3c - 2 will be turned into 8c - 3c + 6 - 2. Now you can simplify the expression in different parts. 8c - 3c = 5c, and 6 - 2 = 4. Keep the addition operation in the middle and combine the numbers:
5c + 4.
what is the measure of <x?
Answer:
31 degrees
Step-by-step explanation:
...........
What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64
Answer:
The diameter of a circle with the equation is 16.
Step-by-step explanation:
Given the equation
[tex]\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64[/tex]
We know that the circle equation with radius 'r', centered at (a, b)
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]
[tex]\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]
[tex]\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2[/tex]
Here,
radius = r = 8
center = (4, -6)
Hence, the radius of the circle is: r = 8
we know that
diameter = 2r
= 2(8)
= 16
Therefore, the diameter of a circle with the equation is 16.
Answer:
They are correct. The answer is c. 16
Step-by-step explanation:
Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️
The school bought a new computer for me for $960. If that is 120% of what
the store paid for it, how much did the store pay for it?
Answer:
The store paid $800 for it
Step-by-step explanation:
let x be the value the store paid for it
120/100 * x = 960
120x = 96000
x = 96000/120
x = $800
Decrease £40 by 70%
please help!
Answer: £12
Step-by-step explanation: To decrease £40 by 70%, you’ll have to find what 70% of £40 is, which is 28. Lastly, subtract 40 by 28. You should end up with a final result of £12.
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?
Answer:
18 / 6 = 3
The scale is 1:3
3 * 4.5 = 13.5
13.5 * 18 = 243 square feet
The answer is 243 square feet.
Step-by-step explanation:
Hope this helped!
ab (3a-5b) equals to?
Answer:
3a^2b-5ab^2
Step-by-step explanation:
Answer:
3a²b-5ab²
Step-by-step explanation:
Distribution method:
ab (3a-5b) = 3a²b-5ab²
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
1. The fair coin is tossed once. What is the
probability of obtaining obtaining i
a) A head
b) A tail
c)no head
d)No tail
12x² + 8x = 0
What are the zeroes?
Answer:
The zeros are at 0 and -2/3
Enter the first four terms.
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
how many times bigger is 2 times 10 to the 10th power than 150 million
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
Use the equation to answer the question 12 equals 3x + 6 what is the value of x makes the equation true
4x/3+3=x-2
value of x ?
Answer:
x = - 15
Step-by-step explanation:
Given
[tex]\frac{4x}{3}[/tex] + 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
Step-by-step explanation:
find the LCM of 3 and 1 which is 3
then you have
4x/3 +3/1 =4x+9/3
now equate the above with x-2
4x+9/3=x-2
Cross multiply
3(x-2)=1(4x+9)
3x-6=4x+9
3x-4x=9+6
-x=15
x = -15
Write an equation in point -slope form with given information
slope is -5
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]
(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880
Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is x +
0.2x.
Which expression is equivalent and why?
O A. (0.2) because the cost of the haircut can be factored out.
B. 1.02x because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
C. 1.2x because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x because adding $20 to the haircut is the same as multiplying
the cost by 1.2.
Answer:
it is c
Step-by-step explanation:
Answer:C.
Step-by-step explanation:
Ape x
Which number line correctly shows –3 – 1.5?
Answer:
A
Step-by-step explanation: