Answers
The equation representing the total number of students in the class: b+g=36
The equation representing the total number of boys in the class: b=2g-3
Sentence representing solution: The number of boys in the class is 13 and the number of girls in the class is 26
Related Questions
The sun of two numbers is 10. The difference between the two numbers is 4.
Answers
Answer:
7 and 3
Step-by-step explanation:
Find the amount of the principal on a loan at 6% interest for 140 days if the interest was $253.15, using the exact interest method. (Round to the nearest whole dollar amount)
Answers
Answer:
$11,000
Step-by-step explanation:
Given that :
Time, t = 140 days = 140/365 = 0.3835years
Interest paid = 253.15
Interest % = 6%
Principal, p =?
Using the relation :
Interest = principal * rate * time
253.15 = p * 0.06 * (140/365)
253.15 = 0.0230136p
P = 253.15 / 0.0230136
P = 11000.017
Hence, the principal amount = $11,000
A culture started with 2,000 bacteria. After 8 hours, it grew to 2,400 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number.
Answers
Answer:
2950 [Starting from 2,000 bacteria.]
Step-by-step explanation:
400/8 = 50
Bacteria grown/time = bacteria per hour
19x50 = 950
time x bacteria per hour = bacteria grown
2000 + 950
bacteria started + bacteria grown
someone plz help this is due today
Answers
3x+5x+1=17
x=2
y=5•2+1
y=1
(x, y)=(2, 11)
3x+2(4x+5)=43
x=3
y=4•3+5
y=17
(x, y)=(3, 17)
I think I did it right and I hope I helped you
if a loan is taken out for $991 at 3% and cost 267.57 dollars how long was the loan for
Answers
Answer:
9 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
t = 267.57 / ( 991 × 0.03 ) = 9
t = 9 years
The time required to
accumulate simple interest of $ 267.57
from a principal of $ 991.00
at an interest rate of 3% per year
is 9 years.
4
Write the equation of the line in slope-intercept form given the following:
Slope 3, yintercept (0,8)
5
Write the equation of the line in point-slope form given the following:
Point : (-5,2), Slope : -3
1
Show Your Work
Answers
Answer:
\bold{\text{Slope (m)}=\dfrac{1}{4}}Slope (m)=41
Step-by-step explanation:
A linear equation is of the form: y = mx + b where
m is the slope
b is the y-intercept (where it crosses the y-axis)
x + 4y = 16
4y = -x + 16
y = -\dfrac{1}{4}x+\dfrac{16}{4}y=−41x+416
y=-\dfrac{1}{4}x+4y=−41x+4
The y-intercept (b) = 4
Next, find the slope given point (4, 5) and b = 4
\begin{gathered}y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}\end{gathered}y=mx+b5=m(4)+41=4m41=mSlope(m)=41
in the diagram below, de is parallel to xy. what is the value of y
Answers
Please can you help me on this equation.I just cant seem to solve this though i mostly don't need help.Thank you [tex]\frac{1}{x^2+1} -\frac{x^4}{x^2+1}+\frac{x^4}{x^2-1} -\frac{1}{x^2-1}[/tex]
Answers
Answer:
2
Step-by-step explanation:
combine like denominators:
(1-x^4)/(x^2+1)+(x^4-1)/(x^2-1)
factor:
(1-x^2)(1+x^2)/(x^2+1)+(x^2+1)(x^2-1)/(x^2-1)
reduce:
(1-x^2)+(x^2+1)
1+1=2
what is the vertex of y=-x^2+12x-31?????
Answers
[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]
Vertex Form[tex]y = a{(x - h)}^{2} + k [/tex]
Where the a-term determines how wide, narrow, upward or downward the graph is.
The h-term determines the horizontal shift of graph. (x-axis)
The k-term determines the vertical shift of graph. (y-axis)
The vertex of graph is at (h,k). We can find the vertex by using the given formulas.
Find the vertexFrom the equation, the coefficients are:
[tex] \begin{cases} a = - 1 \\ b = 12 \\ c = - 31 \end{cases}[/tex]
Substitute these values in the formulas.
Find the value of h
[tex]h = - \frac{12}{2( - 1)} \\ h = - \frac{12}{ - 2} \\ h = - \frac{ - 6}{1} \longrightarrow - ( - 6) = 6 \\ h = 6[/tex]
Hence, the value of h is 6.
Find the value of k
[tex]k = \frac{4( - 1)( - 31) - {(12)}^{2} }{4( - 1)} \\ k = \frac{124 - 144}{ - 4} \\ k = \frac{ - 20}{ - 4} \longrightarrow \frac{5}{1} = 5 \\ k = 5[/tex]
Hence, the value of k is 5. Then we substitute both value of h and k in the vertex form
Rewrite the equation of vertex form by substituting the value of h and k[tex]y = a {(x - h)}^{2} + k \\ y = - 1 {(x - 6)}^{2} + 5 \\ y = - {(x - 6)}^{2} + 5[/tex]
AnswerSince the vertex is at (h,k). Therefore the value of h is 6 and k is 5. Therefore:
[tex] \large{(h, k)=(6, 5)}[/tex]
(6,5) is the vertex.
Choose the correct inequality symbol for the following statement.
-4 - (-2) _____ -6
options:
>
<
=
Answers
Jonas is buying a fence for his garden if his garden has a perimiter of 36 feet and fencing cost 10.00 a yard
Answers
Answer:
120
Step-by-step explanation:
3 feet in a yard
36÷3=12
12×10=120
Could someone help me with this im so confused
Answers
Lonnie has saved 80% of the money she needs to buy a new video game if she has saved$36 how much does the video game cost
Answers
Answer:
$45
Step-by-step explanation:
Pls mark me brainliest
15 POINTS & BRINILY IF RIght!
Solve for r.
r + 12 / 5 = 5
R =?
Answers
R = 13/5
What would you multiply by to decrease a number by 22.5%
Answers
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
what is the square root of 8
Answers
Answer:
2.82842712475
Step-by-step explanation:
√8 = 2.82842712475
can you help me please
Answers
Please... I just gave out 70 points and no one helped me. They just took the points and left
7. A computer software manufacturer wanted to know if its customers were satisfied with
the graphics in a new game program called Zinger they released six months ago. The
company randomly polled 1000 of the 50,000 people who had purchased the program.
Here is part of the results of the poll:
Zinger Program Graphics Percent
Satisfied with Graphics 42%
Not Satisfied with Graphics
No Opinion 13%
a. What percent of the 1000 game users surveyed were not satisfied with the graphics
of Zinger? (2 points)
b. Based on the survey findings, how many of the current 50,000 game users would the
company expect to not be satisfied with the graphics or to have no opinion? (3
points)
c. Based on the survey findings, the software manufacturer has decided to create a new
version of the game program with improved graphics. Why did they make this
decision? (2 points)
Please I don't have any more points
Answers
Answer:
A)
45% of customers were not satisfied with the graphics.
B)
22,500 people are expected to not be satisfied with the graphics.
6,500 people are expected to have no opinion.
C)
The majority of people are unsatisfied with the graphics.
Step-by-step explanation:
The company polled 1,000 out of the 50,000 people who had purchased the program.
42% was satisfied with the graphics.
And 13% had no opinion.
Part A)
When totaled, those satisfied, unsatisfied, and with no opinion should be 100%.
Since 42% are satisfied and 13% have no opinion, this leaves 100 - 42 - 13 or 45%.
So, 45% of customers were not satisfied with the graphics.
Part B)
Since 45% of the polled were unsatisfied with the graphics, 45% of the total 50,000 can also be expected to not be satisfied.
45% of 50,000 is 0.45(50000) = 22500.
So, 22,500 people are expected to not be satisfied with the graphics.
Likewise, 13% had no opinion.
So, 13% of 50,000 is 0.13(50000) = 6500.
6,500 out of the current 50,000 customers are expected to have no opinion with the graphics.
Part C)
Since the majority of people are unsatisfied with the graphics (45% > 42%), it is reasonable to create a new version with improved graphics.
The answers are in the photo. Hope this helps! ;)
Sarah drove 116 miles in 4 hours .If she drove at a constant rate,how far did she travel each hour?
Answers
Answer:
29 miles
Step-by-step explanation:
116 divided by 4
Answer: 29 mph
Hope this helps :)
Charlotte has a piece of yarn in her craft kit. She uses 3/8
of the length of the yarn to make a bookmark. What part of the yarn is left?
Answers
Answer:
5/8
Step-by-step explanation:
8/8-3/8=5/8
please help last question 50 X 2 - 10
Answers
the answer is 90
50 ×2 = 100
100 - 10 = 90
What is the slope the line?
Answers
Answer:
the slope is 3/4x
Step-by-step explanation:
if you need it in slope intercept form too its y=3/4x-1
Would it be better to have a higher interest rate on a loan or on an investment? Explain.
Answers
Answer:
When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.
Step-by-step explanation:
Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?
1 2x3 4x + 7x²+7
x² + 2x-1
DIVIDE
Answers
Answer:I think its 2×-3
Step-by-step explanation:Hope it helps kiddo
How do I find volume of the cylinder?
Answers
Each box on this grid represents one square inch. Roger cut out a quilt block pattern and placed it on the grid (Square A). From the
pattern he made a larger sized quilt block (Square B). What is the ratio of the area of Quilt A to the area of Quilt B?
A.1:4
B.1:2
C.4:1
D.1:1
Answers
Answer:
1:4
Step-by-step explanation:
Quilt A covers 4 squares. Quilt B covers 16 squares.
4/16 = 1/4
So, the ratio of A to B is 1:4.
Answer:
A.1:4
Step-by-step explanation:
pls, tell me if wrong have a good night/day <3
A block exerts a force of 120 Newton's on the ground the block has an area of 2meTers squared Work out the pressure
Answers
Pressure= 120/2 = 60N/M
Hope this helped :)
The pressure exerted by the block can be obtained as 60 N/m².
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Since, the pressure is obtained as the ratio of Force to area.
It can be worked out using the following operation as,
Pressure = Force ÷ Area
⇒ 120 ÷ 2 = 60 N/m².
Hence, the pressure can be obtained as 60 N/m².
To know more about arithmetic operation click on,
https://brainly.com/question/25834626
#SPJ2
What is the ratio of the number
of sides of a square to the number
of edges of a cube.
Answers
Answer:
1:2
Step-by-step explanation:
The ratio of the number of sides of a square to the number of edges of a cube is- A)1:2.
(0,5), (1,6), (2,9), and (3,14) are points on the graph of a function. Which of the following equations represents that function?
O A. g(x)= x2 + 5
O B. g(x)=522 +5
O C. g(x)= 3x2 +5
o D. g(x)= x + 5
Answers
Answer:
Step-by-step explanation:
It's with c or d I am confused with those two
Please help!! will mark brainlyest!!!
find the measure of angle b
Answer all 4 please
Answers
10 is 43°
11 is 55
12 is 27
Answer: 130, 43, 55, 27
Step-by-step explanation:
9) 130 / it's supplementary to 180
10) 43 / its vertical to 43 meaning its 43
11) 55 / will add up to 360 meaning b = 55
12) 27 / its a 90-degree angle with 63 degrees needing 27