Answer:
400 boys
Step-by-step explanation:
First use the fraction along with the given information (240 girls)
If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80
80 multiplied by 5 = 400
There are 400 boys in the school. (640 total students in school)
Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8
Hope this helps :)
Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000
Answer: A, D, F
Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000
G: 10
The number of students in sixth grade is 1.03 times the number of students in seventh grade. What percent is equivalent to 1.03?
Solve the equation -4x^3=32
Answer:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]
What is the solution of the inequality shown
below?
x-1 < -10
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
x < -9
Step-by-step explanation:
Bring like terms to one side⇒ x - 1 < -10
⇒ x < -10 + 1
⇒ x < -9
The solution is x < -9 or x is less than negative 9What is the measure of the unknown angle?
A 72°
B 74°
C 76°
D 79°
Answer:
C. 76 degrees.
Step-by-step explanation:
n = 180 - 104
= 76.
Answer:
C
Step-by-step explanation:
a straight line is 180 degrees
so we can say that n is equal to 180 - 104
n is equal to 76 degrees
a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?
Answer:
225 men
This conversion leads to the answer:
30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 men
This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.
What is the area of the rectangle?
( ) square millimeters
What is the area of the triangle?
( )square millimeters
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
What is an area?The area is the amount of space occupied by a two dimensional shape or object.
Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²
Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
Find out more on area at: https://brainly.com/question/25292087
perform the indicated operation 7/2x-2/3x
Answer:
Ans: n−√5
Step-by-step explanation:
A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?
~Denki~
Answer:
the length of "AC" should be the same as it was before it was reflected over the y-axis.
(there is no picture so i cant get as specific as intended)
hope this helps :D
Order -3,5, 16, and -10 from least to greatest.
Then order the same numbers from closest to
zero to farthest from zero. Describe how your
lists are similar.
Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)
The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Point-slope form of an equation of a lineFrom the question, we are to determine the point-slope form of the given line
The point-slope form of an equation of a straight line is written as
[tex]y-y_{1}=m(x-x_{1})[/tex]
Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line
From the given information,
m = -3
And in the diagram,
One of the points on the line is (2, -2)
Therefore, we can write that
x₁ = 2 and y₁ = -2
Substituting into the point-slope form of an equation of a line,
We get
y - (-2) = -3(x - 2)
This becomes
y + 2 = -3(x - 2)
Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231
The diagram for the question is attached below.
Alexa can follow the sidewalk from the library to the school or she can travel across the grass
directly. Which route is longer?"
Sidewalk-78m
13m
The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.
How to calculate the distance?From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.
In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.
Learn more about distance on:
https://brainly.com/question/17273444
Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)
Answer:
purple
Step-by-step explanation:
30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you
My math teacher did it the same way so I would go with your teacher's way
Water is pouring into a conical vessel of diameter 5.2m and slant height 6.8m (as shown in the adjoining figure), at the rate of 1.8 m per minute. How long will it take to fill the vessel?
Answer:
31.6m
Step-by-step explanation:
First, find area of the vessel [ (πr2h)/3 ]
Radius = 5.2/2= 2.6
Using Pythagorean theorem, find the height of the cone:
[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38
Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] = 56.88 [tex]cm^{3}[/tex]
Do cross multiplication using ratios:
1.8 = 1
56.88 = [tex]x[/tex]
[tex]\frac{56.88}{1.8}[/tex]= 31.6
Pleaseeeeee helppp!!!!! Will mark brainliest!!
Answer:
the first one (3x-2)(2x-3)
a) write 2 2/3 as an improper fraction in its simplest form.
B) work out 2 2/3 x5 give your anwser as an improper
fraction in its simplest form.
Step-by-step explanation:
a) write 2 2/3 as an improper fraction in its simplest form....
[tex] = 2 \frac{2}{3} \\ [/tex]
[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]
[tex] = \frac{8}{2} \\ [/tex]
[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]
[tex] = \frac{4}{1} = 4 \\ [/tex]
B) Work out 2 2/3 x5 give your anwser as an improper...
[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]
[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]
[tex] = \frac{8}{3} \times 5 \\ [/tex]
[tex] = \frac{40}{3} \\ [/tex]
Choose the correct problem for the fraction 12/13
A. 13 ÷ 12
B. 12 ÷ 13
C. 12 x 13
D. 12 ÷ 10
Answer:
B. 12 ÷ 13
Explanation:
13 ÷ 12 = 13/1212 ÷ 13 = 12/13 12 x 13 = 156 12 ÷ 10 = 12/10 = 6/5HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. Write a direct variation equation relating Lee’s pay x to the hours worked y. Then find her pay if she works 25 hours in a week. y = 7.6x; $190
Answer: 90$
Step-by-step explanation:
PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!
Answer:
c and d
Step-by-step explanation:
hope it helps bud
What’s the scale factor? Quick
This is on ixl and I have to get at least a 90
Answer:
4
Step-by-step explanation:
We start with the smaller shape. We look at each coordinate and we multiply by 4. That will give us the coordinates for the bigger shape.
The difference of x and a number is 6. What is the other number?
Answer:
Answer: The other number is y = x + 6.
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
15.8 :D
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
9^2 + 13^2 = c^2
81 + 169 = c^2
250 = c^2
Now we need to find the square root!!
[tex]\sqrt{250}[/tex] = 15.8 :)
Have an amazing day!!
Please rate and mark brainliest!!!
Hi please help with an explanation as well, I’ll reward branliest!!!
Answer:
1. B = 6 m²
2. h = 2 m
3. V = 12 m³
Step-by-step explanation:
the base is a right triangle
Then
[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]
____________
The height of the prism is the length of the segment that join the base to its opposite face
Then
h = 2m (given)
___________
The volume of the prism :
[tex]V=B\times h=6\times 2=12 m^3[/tex]
Manuel starts with $30. He earns $8.00 per hour plus an additional
bonus of $12 each day. He spends $8.00 for lunch. If he has $94 at
the end of the day, how many hours did he work?
Answer:
He worked about 5.5 hours
Step-by-step explanation:
Im pretty sure
Answer:
7.5 hours
Step-by-step explanation:
h=hours
30+8h +12-8 =94
8h+34=94
8h =60
h= 7.5
Please help me with algebra question will mark brainliest to first person with a real answer
Answer:
367/90
Step-by-step explanation:
As [tex]4.\bar{7}=4\frac{7}{9}[/tex], this means that [tex]0.4\bar{7}=4\frac{7}{90}=\frac{367}{90}[/tex], 1/10th of 4.7 repeated.
What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)
Answer:
(4, -18)
Step-by-step explanation:
First Use this formula for the x -axis -b/2a
-8/2(1) is -4
Then plug in -4 to the equation
(-4)^2+8(-4)-2 = -18
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
See picture for full problem. Please and thank you so very much!
Answer:
Step-by-step explanation:
You find an apartment which charges 925 a month rent. each year the rent increases by 6% a. write a sequence that represents the rent paid each year for the first 5 years.
Answer:
In the first 5 years, 138,750$ worth of rent will already have been paid.
Step-by-step explanation:
Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.
y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points
Answer:
I think you are incorrect
Step-by-step explanation:
this was the answer i got 121
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).