Complete Question
We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys
Answer:
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Step-by-step explanation:
Let
The number of boys = x
The number of girls = y
We have 420 students
2 times 3 times the number of girls is equal to 2 times the number of boys
x + y = 420..... Equation 1
2 × 3y = 2x
6y => 2x
x => 6y/2 = 3y
We substitute 3y for x in Equation 1
3y + y = 420
4y = 420
y =>420/4
y => 105
Solving for x
x = 3y
x = 3 × 105
x = 315
Therefore,
The number of boys = x = 315 boys
The number of girls = y = 105 girls
can you help me with this
Answer:
do they want it in F?
Step-by-step explanation:
Answer:
umm that is the absolute value of -20 so it is the opposite which is 20
Step-by-step explanation:
the perimeter of a rectangle is 32cm, its length is more than its width by 2 what's the area
Answer:
63 cm^2
Step-by-step explanation:
p = l + w + l + w
32 = 2l + 2w
32 = 2(w + 2) + 2w
32 = 2w + 4 + 2w
32 = 4w + 4
28 = 4w
7 = w
l = w + 2
l = 7 + 2
l = 9
Check your work:
32 = 9 + 7 + 9 + 7
32 = 32
Correct
A = l × w
A = 9 × 7
A = 63
A 1200 kg car and a 2400 kg car are lifted to the same height at a constant speed in a auto service station. Lifting the more massive car requires ____ work.
to be honest with you, I dont know
The work required to lift the massive car of 2400 kg is more than lifting the car with 120 kg
What is Work?Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is defined as the product of the force's magnitude and the distance traveled. The dimensions of work is
ML²T⁻² and the SI unit of work is Joule
Work = Force x Distance
The SI unit for work is the joule (J), or newton meter ( Nm ). One joule equals the amount of work that is done when 1 N of force moves an object over a distance of 1 m
Given data ,
Let the work required to move the 2400kg car be W₁
Let the work required to move the 1200kg car be W₂
Now , the force in moving the 2400 kg car = F₁
The value of F₁ = 2400 ( a )
And , the force in moving the 1200 kg car = F₂
The value of F₂ = 1200 ( a )
where a is the acceleration
Let the distance moved be height H
Now , the work W₁ = Force x Distance
Substituting the values in the equation , we get
W₁ = 2400 ( a ) H
And , W₂ = 1200 ( a ) H
Now , W₁ > W₂
Hence , the work required to move 2400 kg car is greater
To learn more about work click :
https://brainly.com/question/9678365
#SPJ6
A number x, rounded to 2 decimal places is 7.42 write down the error interval for x
Answer:
7.415 ≤ x < 7.425
Step-by-step explanation:
The number x was rounded to 2 decimal places to give 7.42.
Since rounded off to 2 decimal places, the error interval for x is half of 0.01 subtracted from and added to 7.42.
Thus;
7.42 ± (0.01/2)
(7.42 - 0.005),(7.42 + 0.005)
7.415, 7.425
Now, 7.425 will not be included in the internal because approximating it doesn't give 7.42.
Thus,the error interval is;
7.415 ≤ x < 7.425
Giving brainlist to whoever answers
Answer: B is 44 degrees.
Step-by-step explanation:
(6x+22)=(7x+16)=90.
x=4
(7(4)+16)=44
hey guys i kinda need help with this one assignment for today THANKS
Answer:
Basic physics and common sense would say that of course they'd reach the same height if placed an equal distance away. I don't really know what else to do
A plane travels a distance of 21,000 kn in a time of 3.2 hours what is its average speed rounded to the nearest whole number
Answer:
6563kmph
Step-by-step explanation:
take 21,000 divided by 3.2 hours to get the speed
21,000/3.2 = 6562.5
It says to round 6562.5 to the nearest whole number so its 6563
Help fast please due in 10 mins
Answer: 465
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 57
Step-by-step explanation:
Angles of a triangle all add up to 180 so:
x + 78 + 45 = 180
x + 123 = 180
x = 180 - 123
x = 57
MY FRIEND NEEDS THIS RN (40points) PLEASE AND TYY
Answer:
(2,2)
Step-by-step explanation:
If all the angles are equivalent (the same), the angles must each be 60 degrees because 60 times 3 angles equals 180.
A. True
B. False
Answer: A
Step-by-step explanation: true true true
The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball?
Give the exact solution.
HELPP
Answer:
523.6
Step-by-step explanation:
Here is the equation to get that answer:
V=4/3πr3=4/3·π·53≈523.59878
hey can yall help me
what's 9+10=21
Answer:
69,420
Step-by-step explanation:
Jayden invests money in an account paying a simple interest of 7.6% per year. If he
invests $100 and no morley will be added or removed from the investment, how
much will he have in one year, in dollars and cents?
Answer:
$107.60
Step-by-step explanation:
100 [1 + (0.076 * 1)] = 107.6
= $107.60
Find the cost of tiling the floor of a room which is 250m long and 100m wide at the rate of Tk.
80 per m2.
Answer:
2000000Taka.
Step-by-step explanation:
Area of the room= 250x100
=25000m²
Each m²= Tk 80
so, 25000x80
=2000000 Taka.
plz mark me as brainliest !
please answer this question for me
Answer:
200
Step-by-step explanation:
2*5=10
4*5=20
20*10=200
Which expression is equivalent to 4c + 7 -2C - 3?
a. 2c + 4
b. 2c + 10
C. 6C +4
d. 60 + 10
find the value of given expression
[tex] \sqrt{24 \times 5 + 1} [/tex]
Answer:
11
Step-by-step explanation:
sqrt(24×5+1)
sqrt(120+1)
sqrt(121)
11
What is the fractional portion of the circle represented
by the sector?
Answer:
A - 1/8
Step-by-step explanation:
just did it 2021
Answer:
1/8
Step-by-step explanation:
A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?
546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
which is not equivalent to 24y-12
Answer:
what are the answer choices
Step-by-step explanation:
The linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a linear expression:
= 24y - 12
From the above linear expression take 2 as a common factor:
= 2(12y - 6)
Take 2 as common factor again:
= 2(2)(6y - 3)
= 4(6y - 3)
Now, take 3 as a common factors:
= 12(2y - 1)
The expression 24y - 12 is equivalent to the expressions 2(12y - 6), 4(6y - 3), and 12(2y - 1).
Thus, the linear expression 24y - 12 is not equivalent to the expression 2(12y - 12) option (A) 2(12y - 12) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
A gallon of milk costs $3 nowIf the price is increasing 10% per year, how long before a gallon of milk costs $10 a gallon? Round your answer to the nearest thousandth, and you do not need to include units
Answer:
The answer is 33 years.
Step-by-step explanation:
10% of 3 is .3
Just move the decimal to the left.
.3 times 33=9.9
9.9~10
PWEASE HELP ME, AREA OF A CIRCLE
Answer:
Step-by-step explanation:
A= πr2 = π·72 ≈153.93804
Step-by-step explanation:
The formula for an area of a circle is: π[tex]r^{2}[/tex]
In this instance you are using 3.14 for pi.
3.14 ([tex]7^{2}[/tex])= 153.86
Area= 153.86[tex]ft^{2}[/tex]
Correct answer will be brainliest
Answer:
Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .
Step-by-step explanation:
Given :
A quadrilateral with its coordinates as follows:
Where A (3, 1), B (4,4), C (7,5), D (6,2).
We will measure the length of the congruent sides by applying distance formula.
Distance formula = square root (x^2 - x^1)^2 + (y^2 - y^1)^2
So,
AB = ( insert the coordinates using the formula )
BC = ( insert the coordinates using the formula )
CD = ( insert the coordinates using the formula )
DA = ( insert the coordinates using the formula )
It all equals = squareroot 10
From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.
In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.
State if the triangles in each pair are similar. If so, state how you know they are similar
A.They are similar by the AA rule
B.They are not similar
C.They are similar by the SSS rule
Answer: C. They are similar by the SSS rule
Step-by-step explanation:
There are three ways to prove triangle similar
AA similar theorem--Two corresponding angles in two triangles are the congruentSAS similar theorem--Two corresponding pairs of sides of two triangles are proportional, and the angle in between two sides are congruentSSS similar theorem--All corresponding sides of two triangles are proportional--------------------------------------------------------------------------------
Here, we see in the figures, the side lengths are given, and there are no angles. So, supposedly, we are going to use SSS similar theorem.
Solve
MN corresponds to UV
ML corresponds to UT
LN corresponds to TV
MN/UV=24/8=3
ML/UT=33/11=3
LN/TV=42/14=3
∴MN/UV=ML/UT=LN/TV
∴They are similar
Hope this helps!! :)
Please let me know if you have any questions
If you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.
Answer:
If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.
Answer:
A rectangle
Step-by-step explanation:
A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid. In this case, a rectangle.
What is the solution set of the quadratic inequality x^2+x-2 ≥ 0
{x| x ≤ -2 or x ≥ 1}
{x| x ≤ -1 or x ≥ 2}
{x| x ≥ -2 or x ≤ 1}
{x| x ≥ -1 or x ≤ 2}
Find the area of the shape shown below
Answer:
12 units squared
Step-by-step explanation:
You need to find the area of each individual shape, and then add them together. The area of the square is 4 units squared. The triangle on the left is two units squared (base times height, divided by two,) and the area of the triangle on the left is 6. Add them all together, and you get 12 units squared.
Answer:
24
area is round the outside times them together and you will get the inside
Please help!!!!!!!!!
Answer:
2
Step-by-step explanation:
The radical rule : [tex]\sqrt[3]{2^{3} }[/tex] = 2 when the number inside is greater than or equal to 0
Some students reported how many pairs of shoes they have. The dot plot shows the data collected: A dot plot is titled Students Pairs of Shoes and labeled Number of Pairs. The values on the horizontal line are 1, 2, 3, 4, and 5. There is 1 dot above 1, 3 dots above 2, 5 dots above 3, 3 dots above 4, and 1 dot above 5. What do the dots above the number 4 indicate? (3 points) a There are exactly 3 students with less than 4 pairs of shoes. b There are exactly 4 students with less than 3 pairs of shoes. c There are exactly 4 students with 3 pairs of shoes. d There are exactly 3 students with 4 pairs of shoes.
Answer:
There are exactly 3 students with 4 pairs of shoes.
Step-by-step explanation:
Given
[tex]Pairs \to Dots[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 3[/tex]
[tex]3 \to 5[/tex]
[tex]4 \to 3[/tex]
[tex]5 \to 1[/tex]
Required
What does the 3 on 4 represents?
First, we plot the dot plot.
See attachment for plot
The dots represent the number of student
So 3 dots on 4 means that:
[tex]Students \to 3[/tex]
[tex]Pairs \to 4[/tex]
This implies that there are 3 students have exactly 4 pairs
Answer:
D) There are exactly 3 students with 4 pairs of shoes.
Step-by-step explanation:
It says number of pairs on the bottom which means how many and 1, 2, 3, 4, 5 are the pairs of shoes.
At the top it says Students' pairs of shoes which is the dots and that means how many students have that amount.
Hope I helped!!