Answer:
boys=119, girls= 153
Step-by-step explanation:
let the number of boys and girls be 7x and 9x respectively
Then, ATQ
9x=7x+34
or, 9x-7x=34
or,2x= 34
or, x=17
therefore, the number of boys is 17×7=119
and number of girls is 17×9=153
devide 840 in the ratio 3:4
Answer:
360:480
We know the total (840) so add the ratio: 3 + 4 =7
Divide 840 by 7 = 120
Multiply each part of the ratio by 120
3 x 120 = 360
4 x 120 = 480
Step-by-step explanation:
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Please help me with this ASAP!!!!!
Answer:
Volume = 1099 cm³
Step-by-step explanation:
Volume = πr²h = 3.14(5²)(14) = 1099 cm³
Does anyone wanna play iMessage games
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Thank you to anyone who answers .
Answer:
last one
Step-by-step explanation:
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
For a line, as the x-values increased by 1, the y-values increased by 4. Find the slope of this line
Answer:
4
Step-by-step explanation:
The slope of a line is given as the ratio of change in y to the change in x :
Change in y(dy) / change in x (dx)
Change in x = 1 ; change in y = 4
Slope = 4 / 1
The slope of the line = 4
ABC is a right-angled triangle.
Given that cos x = 3/4 and that the length of the side adjacent to the angle x is 9 cm,
work out the length of the hypotenuse.
Answer:
cosx=3/4x=41,41cosx=adjacent/hypotenusecos41,41=9/hypotenusehypotenuse=9/Cos41,41hypotenuse=9/Cos41,41 =12 cmThe length of the hypotenuse in the triangle ABC is 12 cm.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Given that, ABC is a right-angled triangle.
We know that cos θ =Adjacent/Hypotenuse
Here, cos x = 3/4 and that the length of the side adjacent to the angle x is 9 cm.
From triangle ABC,
cos x=BC/AC =9/b
⇒ 3/4 = 9/b
⇒ b=12 cm
Therefore, the length of the hypotenuse in the triangle ABC is 12 cm.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
Which set of decimals are in the correct order from smallest to largest?
A. 0.3,0.34,0.334,3.4
B. 0.34,3.4,0.3,0.334
C. 3.4,0.334,0.3,0.34
D. 0.3,0.334,0.34,3.4
Answer:
A
Step-by-step explanation:
Mia wants to purchase a pair of jeans that cost $36. They are on sale for 20% off. What are two ways that Mia can find the cost of the jeans? Write your answers in the blanks. Mia can find the difference of 36 and of 36 or she can multiply 36 by
please help
Answer:
multiply 36 by .20 and subtract that from 36
Step-by-step explanation:
20% is the amount off. if you multiply .20 and subtract it you'll get $7.20 so 36-7.20 which is $28.80.
Answer:
28.80 is 36 dollars 20 percent off.
Step-by-step explanation:
take the original price
divide the original price by 5
alternatively, divide the original price by 100 and multiply it by 20
subtract this new number from the original one
the number you calculated is the discounted value.
more simple steps:
1. subtract the final price from the original price
2. divide this number by the original price
3. multiply the result by 100
other explanation: a 20 percent discount is 0.20 in decimal format. secondly, multiply the decimal discount by the price of the item to determine the savings in dollars. for example: if the original price of the item equals 24$, y I u would multiply 0.2 by 24$ to GET $4.80
hope this helps!
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number 16)
Answer:
A) 15
Step-by-step explanation:
20 x 0.75= 15
There are 300 pages in your independent reading book for English. You have read 78% of the book. How many pages have you read?
Answer:
234
Step-by-step explanation:
300 x .78 = 234
Answer:
234 pages.
Step-by-step explanation:
Remark
78% = 78/100
78% of 300 = 78/100 * 300 = 23400/100 = 234
Help with math homework Will mark brainlest no matter what
Answer:
(x-3)^2 + (y+2)^2 = 25
Step-by-step explanation:
Center is (3,-2) Radius is 5
3=h -2=k r=5
Formula (x-h)^2 + (y-k)^2 = r^2
Plug it in and switch the signs inside the ( )
(x-3)^2 + (y+2)^2 = 25
Captionless Image ...............................................................................................................
Answer:
um what?
Step-by-step explanation:
I don't understand this
is it possible to have ordered number pair (72;
[tex] \frac{1}{3} [/tex]
) on the graph . explain
Answer:
Step-by-step explanation:
Yes, the ordered number pair (72, 1/3) can readily be located on on a rectangular grid. The x-coordinate is 72: draw a vertical line through 72. The y-coordinate is 1/3; draw a horizontal line through y = 1/3.
The point of intersection of these two lines is the graphical representation of the ordered number pair (72, 1/3).
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answer:
pretty sure its 18
Step-by-step explanation:
can someone please help me with this question???
Answer:
52.36 rounded to hundredth place
Step-by-step explanation:
8 is the height and radius is half of the diameter. Just plug those into the equation
A company created a new container in the shape of a triangular prism that will hold sunflower seeds. A three-dimensional image of the container is shown below, as well as a two-dimensional image of the base.
Part A:
The container will be made from cardboard. How many square inches of cardboard are needed to make one container? Assume there are no overlapping areas.
Part B:
How many cubic inches of sunflower seeds will fit into the container?
Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing store at a 35% markup.
a. Write the mark up as a decimal.
b. Write two expressions for the retail price of the dress shirt.
c. What is the retail price of a dress shirt that Dana purchased for $32.00?
d. How much was added to the original price of the dress shirt?
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answer:
The mean is 30
Use f ( x ) = x 2 − x , f(x)=x 2 −x, g ( x ) = 9 − 2 x g(x)=9−2x, and h ( x ) = x 2 + 2 x − 63 h(x)=x 2 +2x−63. Find ( f + h ) ( x ) (f+h)(x).
Given:
The functions are:
[tex]f(x)=x^2-x[/tex]
[tex]g(x)=9-2x[/tex]
[tex]h(x)=x^2+2x-63[/tex]
To find:
The function [tex](f+h)(x)[/tex].
Solution:
We know that,
[tex](f+h)(x)=f(x)+h(x)[/tex]
Substituting the values of given functions, we get
[tex](f+h)(x)=x^2-x+x^2+2x-63[/tex]
[tex](f+h)(x)=2x^2+x-63[/tex]
Therefore, the required function is [tex](f+h)(x)=2x^2+x-63[/tex].
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
A car is stuck in a ditch. The car weighs 500kg. How much force will it take to take the car out of the ditch.
Which CANNOT be the third side of a triangle with side lengths 4ft, and 6ft?
5ft
8ft
10ft
2ft
Answer:
2ft
Step-by-step explanation:
2ft is small than the other options.
what is the equivalent ratio for 3:4
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
100-121k^2=0 What are solutions to this equation?
Answer:
k = ±[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
121k² - 100 = 0
(11k + 10)(11k - 10) = 0
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5
Given:
The equation of a line is
[tex]y=-4x+10[/tex]
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=-4x+10[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-4[/tex]
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m\times m_1=-1[/tex]
[tex](-4)\times m_1=-1[/tex]
[tex]m_1=\dfrac{-1}{-4}[/tex]
[tex]m_1=\dfrac{1}{4}[/tex]
The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+6=\dfrac{1}{4}x-1[/tex]
[tex]y=\dfrac{1}{4}x-1-6[/tex]
[tex]y=\dfrac{1}{4}x-7[/tex]
Therefore, the correct option is B.
WILL GIVE BRAINLIEST
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
The dot plot shows the number of flowers each science student was able to identify. A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12. Select from the drop-down menus to correctly complete the statement. The distribution of data is skewed right , with a mode of Choose... , and a range of Choose... .
Answer:
The dot plot shows the number of flowers each science student was able to identify.
A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12.
Select from the drop-down menus to correctly complete the statement.
The distribution of data is 1 "skewed right", with a mode of 2 "3", and a range of 3 "12".
Step-by-step explanation:
I took the test!