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
Use the distributive property to expand (simplify): 14(2t - 10y)
Answer:
28t-140y
step by step explanation:
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - -
[tex]\textsf{We're asked to expand the expression using the distributive property.}[/tex]
[tex]\textsf{But we need to be familiar with it first. \quad This is what it states :}[/tex]
[tex]\textsf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{Now we simplify. \quad 14(2t-10y)=14*2t-14*10y=28t-140y}[/tex]
[tex]\textsf{\textbf{Answer: 28t-140y}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
please help with 13, giving brainliest
Answer:
6
Step-by-step explanation:
m《 Q+ m《R +m《S =180 (Angles of a triangle add up to 180 degrees )
8x-17 +19x +4 +5x+1=180
32x-12=180
32x =180+12
32x =192
32X /32=192 /32
x=6
substitute x to angle Q, R and S
mQ=8 (6)-17
=31
mR=19 (6)+4
=118
mS=5 (6)+1
=31
15. Which line is parallel to the line
y= x +7?
A. x - y=5
B. x+y=-2.
C. y=1
D. x=1
Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?
Answer:
Hi there, $4.04 should be his finance charge.
Step-by-step explanation:
Amount
Expense
Mortgage
Gasoline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget was spent on groceries?
F
12%
13%
H
896
J
1.18%
Answer:oline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80oline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget w
About what percent of Davon's monthly budget w
Step-by-step explanation:
oline
$650
$150
$130
Groceries
Car Insurance
590
Clothes
$80
About what percent of Davon's monthly budget w
Answer:
the one i got is 12%
Step-by-step explanation:
but im not sure if its correct
DO NOT ROUND YOUR ANSWER! Answer _________________ m2
Answer:
Gotcha!
I will be letting Ms. Gilbert know about this..
tell whether the angles are adjacent or vertical. Then find the value of x
Step-by-step explanation:
8.Solution:
x+35=90(adjacent)
x=90-35
x=55
9.Solution:
x=128(vertical)
10.Solution:
x+117=180(adjacent)
x=180-117
x=63
11.Solution:
75=4x-25(vertical)
75+25=4x
100/4=x
x=25
12.Solution:
4x+2x=90(adjacent)
6x=90
x=90/6
x=15
13.Solution:
7x+x+20=180(adjacent)
8x=180-20
x=170/8
x=21.25
Y’all how do I do this-
Answer:
The measure of angle A is: 27
Step-by-step explanation:
The measure of an angle made by a circle and a chord is 1/2 the measure of the arc that it creates.
Convert 54 km/h into metres per second (m/s)
Answer:
1.5m/sec is the answer
Step-by-step explanation:
54×1000m/60×60sec
54000m/3600sec
1.5m/sec
Answer:
15 m/s
Step-by-step explanation:
54 ÷ 3.6 = 15 m/s
work out 5/9 0f 100. give your answer to nearest whole number
Answer:
56
Step-by-step explanation:
hii please help i’ll give brainliest
Answer:
H
Step-by-step explanation:
the point H is (-3, 2) which fits the requirements
Answer this question to get marked as barinliest!!!!!
Answer:
32 degrees
Step-by-step explanation:
114° - 82° = r°
=> r = 32°
need help with working perimeter and area please
Answer:
Area = 228 m²
Perimeter = 60 m
Step-by-step explanation:
The figure given shows a rectangle that has a cut triangular portion.
✔️Area of the figure = area of rectangle - area of the triangular cut portion
= L*W + ½*bh
Where,
L = 20 m
W = 12 m
b = 20 - (8 + 8) = 4 m
h = 6 m
Plug in the values
Area = 20*12 - ½*4*6
Area = 240 - 12
Area = 228 m²
✔️Perimeter = perimeter of rectangle - base of the triangular cut portion
= 2(L + W) - b
L = 20 m
W = 12 m
b = b = 20 - (8 + 8) = 4 m
Plug in the values
Perimeter = 2(20 + 12) - 4
= 2(32) - 4
= 64 - 4
Perimeter = 60 m
Voltage (V), varies directly with resistance (R) in a circuit. If the voltage is 150 volts when the resistance is 480 ohms, find the voltage when the resistance is 200 ohms.
what is 100x2453= i really need help asap
HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:i would say 1
Step-by-step explanation:
20 points
14 The base of a rectangular prism has a length of 15 inches and a width of 13 inches.
What is the area of this base of the prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
195 square inches
28 square inches
56 square inches
Answer:
195 sq. in.
Step-by-step explanation:
area = length * width
area = 15 in. * 13 in. = 195 sq. in.
combine like terms 23x + 3y -5x
Answer:
18x + 3y
Step-by-step explanation:
23x - 5x combine to 18x.
Then the given expression becomes 18x + 3y.
Answer:
18x+3y
Step-by-step explanation:
can somebody help me with this ty!!
Two of the angles in a triangle measure 81° and 86°. What is the measure of the third angle?
Answer:
13°
Step-by-step explanation:
The reason is because the sum of all the angles in a triangle add up to 180°, so to find the last angle you add 81°+86°=167°
Subtract: 180°-167°=13°
Hope this helped!
Stay safe and have a wonderful day/night!
Your friend Bella was here :)
The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?
Answer:
x = 5, 2
Step-by-step explanation:
x^2 = 7x - 10
x^2 -7x + 10 = 0
(x - 2)(x - 5) = 0
x = 5, 2
A science test had 32 true or false questions. Malik answered 75% of the questions correctly. How many of the questions did he NOT answer correctly?
Answer:
If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.
HELP ASAPPPPPP( i need it before 5:30)
Answer: I would say that x = 10 degrees
Step-by-step explanation:
The angle has a square, meaning it is a right angle. Right angles are 90 degrees, and you're given 80 degrees + x.
90 - 80 = 10
Hope this helps!
Answer:
10 degrees
Step-by-step explanation:
First off complementary angles require the sum of both adjacent angles to equal 90 degrees. You are already given the degrees of one of the adjacent angles so all you need to do is a geometric proof. 90 = 80 + x and subtract 80 from each side to get 10 = x.
A car rental company charges 45.95 per day plus 0.35 per mile Rachel rented a car for two days and was charged 117.10 how many miles did Rachel drive the car 25 miles? 72 miles 117 miles 203 miles
Answer:
203.28 miles
Step-by-step explanation:
Given data
charge per day= $45.95
charge per mile= 0.35
The expression for the total is
y= 45.95+0.35x
where x is the number of miles
We want to find the value of x when y= 117.10
substitute
117.10=45.95+0.35x
117.10-45.95=0.35x
71.15=0.35x
x= 71.15/0.35
x=203.28 miles
what is the equation of the following line? Please help
Answer:
D
Step-by-step explanation:
just trust me on this one
Answer:
y= -1/3x
Step-by-step explanation: use y=mx+b
m is the slope (rise over run)
x stays as x
b = is the coordinate on the y-axis where the graph crosses the y-axis.
PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH
What 2-dimensional shapes do you see when you look at the Hexagonal Prism? Choose ALL that you see.
Squares
Rectangles
Triangles
Hexagons
Pentagons
Trapezoids
Answer:
All of the above EXCEPT pentagonsStep-by-step explanation:
Well I already explained in the comments and I am pretty sure you already answered the question but for the points :)
Good day!
a car is traveling 22 miles in 1/2 hr.. How much miles in an hour
Answer:
44
Step-by-step explanation:
1/2×2=1
22×2=44
The car is going 44 miles in 1 hour
Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?
Answer:
$8000
Step-by-step explanation:
Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.
Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.
To find: Gale's net worth
Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.
Firstly, calculate the total amount of assets by adding them together;
Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =
$9,500 + $7,400 + $6,000 + $3200 =$26,100
Secondly, calculate the Liabilties by adding them together;
Car loan + Student loan =
$7,400 + $6,000 = $13,400
Then, calculate the Intangible Assets by adding them together;
Savings account + The balance on her credit card =
$1500 + $3200 = $4700
Finally substact the total amounts;
$26,100 - $13,400 - $4700 = $8000
(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)
Emerson swims 1/2 a miles every 1/4 of an hour. How far can she swim in one hour?
(Complex fractions)
Answer:
he swims 1/2 miles in 1/4 hours
multiply both them by 4
we get
2 miles in 1 hour
h(x) = x ^ 2 - 7x - 8 1) What are the zeros of the function? Write the smaller first, and the larger second smaller I largerx = 2 ) What is the vertex of the parabola ?
Answer:
The zeros are x = -1 and x = 8
The vertex is (3.5, -20.25)
Step-by-step explanation:
When we have a quadratic equation like:
y = a*x^2 + b*x + c
The zeros of the function are the values of x such that:
a*x^2 + b*x + c = 0
And the solutions are given by the Bhaskara's equation, which is:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
And the vertex is at:
x = -b/2a
The y-value at the vertex is the function evaluated in that point.
In this case, we have the equation:
h(x) = x^2 - 7*x - 8
Then:
a = 1
b = -7
c= -8
Replacing these in the Bhaskara's equation we get:
[tex]x = \frac{-(-7) \pm \sqrt{(-7)^2-4*1*(-8)} }{2*1} = \frac{7 \pm 9 }{2}[/tex]
Then the two solutions are:
x = (7 - 9)/2 = -2/2 = -1 (this is the smaller one)
and
x = (7 + 9)/2 = 16/2 = 8 (this is the larger one)
And we will have the vertex at:
x = -(-7)/2*1 = 7/2 = 3.5
Evaluating h(x) in 3.5 we get:
h(3.5) = (3.5)^2 - 7*(3.5) - 8 = -20.25
Then the vertex is the point:
(3.5, -20.25)