Answer:
168
Step-by-step explanation:
This is a proportion problem, but with a small trick.
Boys/Girls = 7/6
Here is the trick: add 1 to each side of the equation
(boys/girls) + 1 = (7/6) + 1
(boys + girls)/girls = 13/6
364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168
Answer:
[tex]168[/tex] girls
Step-by-step explanation:
Since the ratio of girls to boys is [tex]6:7[/tex], we can let the number of girls be [tex]6x[/tex] and the number of boys be [tex]7x[/tex]. We are given that there are a total of [tex]364[/tex] students, so we can write the following equation to solve for [tex]x[/tex]:
[tex]6x+7x=364[/tex]
Solving for [tex]x[/tex], we get:
[tex]6x+7x=364[/tex]
[tex]13x=364[/tex] (Simplify LHS)
[tex]\frac{13x}{13} =\frac{364}{13}[/tex] (Divide both sides of the equation by [tex]13[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=28[/tex] (Simplify)
Therefore, there are [tex]6x=6*28=168[/tex] girls in the 6th Grade. Hope this helps!
Slope = 3/4 and y intercept of 1
Answer:
It's in the attached file below :)
Step-by-step explanation:
Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month, and she will be making this purchase on the last day of the month. If her finance charge will be $51, write and solve an equation to determine her current balance on her credit card.
Answer:
Average date*Interest=Finance charge
Previous debt*2%´+1400*2%=51
Previous debt=1150
Step-by-step explanation:
X=Previus Debt
Debt= Previus debt + 1400
Finance Charge 51.
Debt=1400+1150= 2550
Average debt= Previus debt + 1400
Average date*Interest=Finance charge
Previous debt*2%´+1400*2%=51
Previous debt=1150
Interest capital Debt Payment
1 51 213 2,338 264
2 47 213 2,125 259
3 43 213 1,913 255
4 38 213 1,700 251
5 34 213 1,488 247
6 30 213 1,275 242
7 26 213 1,063 238
8 21 213 850 234
9 17 213 638 230
10 13 213 425 225
11 9 213 213 221
12 4 213 0 21
PLEASE HELP! A chemist is estimating the volume of a solution in a test tube. The actual volume of the solution is 33.4 ml. The chemist's estimate is 35 ml.
Find the absolute error and the percent error of the chemist's estimate. If necessary, round your answers to the nearest tenth.
Absolute error is actual- estimate=33.4-35=-1.6 that in percent can be found using a rule of three, we say that 33.4 is the 100% and we find the % for -1.6
33.4ml -------- 100%
-1.8ml-----------x
x=(-1.8)(100)/33.4
x=-5.4
the percentage error is -5.4%
Please find the length x.
The length of the triangle ABC is given by the equation x = 5
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ABC
Let the second triangle be represented as CDE
The measure of side AB = 2.5
The measure of side AC = x
The measure of side CE = 7
The measure of side ED = 3.5
Now , the two triangles are similar
So , corresponding sides of similar triangles are in the same ratio
Substituting the values in the equation , we get
AC / AB = CE / ED
On simplifying the equation , we get
x / 2.5 = 7 / 3.5
Multiply by 2.5 on both sides of the equation , we get
x = ( 2.5 x 7 ) / 3.5
x = 2.5 x 2
x = 5
Therefore , the value of x is 5
Hence , the measure of side x = 5
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ2
which ratios are equivalent to 12:24? I have to select each correct answer.
Answer: 1:2, 2:4, 3:6, 4:8, 5:10, 6:12, 7:14, 8:16, 9:18, 10:20, 11:22, 13:26, 14:28, 15:30
Step-by-step explanation:
These r just a few.
Hope this helps :)
(11x + 2) + (9x -4) can someone help me plzz
Answer: if you are simplifying its 20x-2
Step-by-step explanation:
Find the slope of the line passing through the points (3,9) and 12,-5)
Answer:
9/-24 or ~ -0.38
Step-by-step explanation:
x y
3 9
12 -15
from 9 to -15 it will be subtracting 24
From 3 to 12 it will be adding 9
y/x = 9/-24 or -0.375 ~ -0.38
Write an equation to represent the number of pages Jesse has read. Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Question:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
It will take 6 days
Step-by-step explanation:
For Jesse:
[tex]Rate = 30\ pages/day[/tex]
This implies that Jesse will cover 30y in y days
For Amir:
[tex]Rate = 35\ pages/day[/tex]
This implies that Amir will cover 35x in x days
Because Amir starts a day later,
[tex]y = x + 1[/tex]
So, we have the following equations:
[tex]Jesse = 30y[/tex]
[tex]Amir= 35x[/tex]
[tex]y = x + 1[/tex]
To get the number of days when they read the same number of pages, we have:
[tex]Jesse = Amir[/tex]
Substitute values for Jesse and Amir
[tex]30y = 35x[/tex]
Substitute x + 1 for y
[tex]30(x+1) = 35x[/tex]
Open bracket
[tex]30x+30 = 35x[/tex]
Collect Like Terms
[tex]30 = 35x-30x[/tex]
[tex]30 = 5x[/tex]
Solve for x
[tex]\frac{30}{5} = \frac{5x}{5}[/tex]
[tex]\frac{30}{5} = x[/tex]
[tex]6 = x[/tex]
[tex]x = 6[/tex]
Is -4 a integer and a whole number pleaseeeeeeee
Answer:
-4 is an integer however NOT a whole number.
Step-by-step explanation:
Integer include numbers that can be written as a fraction(whole number) and their negative selfs. So: 1,2,3,4... and -1,-2,-3,-4...
Whole numbers are numbers that can be written as a fraction but do not include negative, so any number like: 1,2,3,4... but it can't be negative.
Ace
The difference between 16.03 and 7.385 is …….
Need help asap
Answer:
8.645
Step-by-step explanation:
use the algorithim to show your work :
16.03
- 7.385
8.645
don't forget to line up the decimal points
i hate callmecarson
he is so mean and evil
Answer:
who is he and what has he done, if you don't mind me asking
simplifly the expression 2(x - 5)
Answer:
2x - 10
Step-by-step explanation:
2(x - 5)
distribute
2*x - 2*5
2x - 2*5
2x - 10
find x !!?????!!!????????????
Answer:
x = 15
Step-by-step explanation:
Given
See attachment
Required
Find x
The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.
So, we have:
90 + 6x + 5+ 10x - 40 + 4x + 5 = 360
Collect like terms
6x + 10x + 4x = 360 - 90 - 5 + 40 - 5
20x = 300
Divide both sides by 20
x = 15
Hence, the value of x is 15
Is -351 in the sequence below 27,25,23,21,19
Answer:
Yes
Step-by-step explanation:
To find the next number in the sequence, you have to subtract 2 from the last number.Because it started on 27 (which is an odd number) and we're subtracting 2 each time, every number in the sequence will be odd. And because -351 is an odd number, it will be in the sequence.I hope this helps!
Haley worked 287 hours during the summer and earned $16 for each hour she worked.
Which is the closest estimate for the total amount she earned?
$4,500
$5,000
$5,500
$6,000
Answer: The closest estimate for the total amount she earned = $4,500
Step-by-step explanation:
Given: Total hours worked = 287 hours
Earning for each hour = $16
Total earning = (Total hours worked ) x (Earning for each hour)
= $ (287 x 16)
= $ 4592 ≈ $4500
The closest estimate for the total amount she earned = $4500
The price of shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars and cents, how much did the price of each share drop in the past year?
Answer:
$0.342 ; 34.2 cents
Step-by-step explanation:
Given that:
Share price fell by 76% in past year :
current price per share = $0.45
Drop in price of share in past year :
76% of current price
0.76 * $0.45
= $0.342
Price dropped by $0.342 per share
In cent, 0.342 * 100 = 34.2 cents
Which expression can be used to find the price of a 400$ telescope after a 32% markup?
A. 400 x 0.32
B. 400 x 3.2
C. 400 x 1.32
D 400 + 400 (0.32)
E. 400 x 400(1.32)
Answer:
A
Step-by-step explanation:
A because a markup means the price times the number given which was 32% and 32% is the same as 0.32.
What part of the story does this portion of the graph represent?
Answer:
Step-by-step explanation:
Area of the Velocity-Time graph gives the displacement of the motion .
2. 2 more than the four times a number r
Translate this to an expression
Can anyone help please
Answer:
16 cups
Step-by-step explanation:
8 fluid ounces in 1 cup
So 128/8=16
16 cups
Can anyone help me with this?
Answer:
D. -6m²n² + 10m²n + 8mn² - 10mn
Step-by-step explanation:
(-7mn + 8mn² - 8m²n²) + (10m²n + 2m²n² - 3mn)
Apply the distributive property to remove the parentheses
-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn
Combine like terms together and arrange in standard form
-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn
-8m²n² + 2m²n² + 10m²n + 8mn² - 7mn - 3mn
-6m²n² + 10m²n + 8mn² - 10mn
The blue dot is at what value on the number line?
12
8
Answer:
20
Step-by-step explanation:
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
A
Step-by-step explanation:
the answer is vertical angles are angles that are opposite from each other
A TV has an original price of $599. Enter the new price after the given percent of change.
20% increase
The percent decrease is ? %
Answer:
The new price = $718. 8
Step-by-step explanation:
Original Price = $599
Given that the increase is 20%.
i.e.
Thus,
The amount of 20% Percentage increase = 20/100 × 599
= 0.2 × 599
= $119.8
Therefore,
New price = Original price + 20% increase amount
= 599 + 119.8
= $718. 8
Therefore, the new price = $718. 8
Which expression gives the best estimate of 30 percent of 61?
1/5(60)
1/10(60)
1/4(60)
1/2(60)
Answer:
The answer is 1/5 (60)
Why does it have be at least 20 words before I can send it
Answer: C is correct also 1/4(60)
Step-by-step explanation:
ur welcome buddo
What is the x-intercept of the graph that is shown below?
Answer:
(-2, 0)
Step-by-step explanation:
The x-intercept is where the line meets the x-axis, so that is (-2, 0).
Answer:
(-2,0)
Step-by-step explanation:
i hope it's helpful
8. Simon is saving his money to buy an Xbox. He earn money by mowing lowns for his
neighbors. The situation can be represented using the equation 35x - 2y = -42 where x
represents the number of lawns mowed and y represents the amount of money Simon has in his
bank account.
( explainations are muc appreciated:) )
a. How much money does Simon earn for mowing each lawn?
b. How much money was in Simon's bank account before mowing any lawns?
Answer:
a. $35
b.$21
Step-by-step explanation:
a. It is what your are multiplying the number of lawns mowed by
b. -2y = -42
divide by -2 on each side
y=21
(you don't need the 35x because we are trying to find how much before he started mowing)
Somebody please help me :(
If someone was to conduct a study in the field of microeconomics, which of the following questions might the arrempt to answer?
Answer:
When will a firm decision expand, downsize, or close?
hope this helps!!:)
Step-by-step explanation:
find the slope of the line
Answer:
y= 3 + 3/4x sooooooo 3/4 is the slope... I think
Answer:
3/4
Step-by-step explanation:
You can use the x- and y--intercepts since they are easy-to-read points.
x-intercept: (-4, 0)
y-intercept: (0, 3)
To go from (-4, 0) to (0, 3), go up 3 and right 4. That is a rise of 3 and a run of 4.
slope = rise/run = 3/4
Answer: slope = 3/4