1. H+S=40
2. 19H+25S=922
From 1,
19H+19S=760
Subtract this from 2 to eliminate H,
19H+25S-19H-19S=922-760
6S=162
Solve for S, then use either equation to solve for H.
In a class of the students in a class are girls.
There are 28 boys.
What fraction of the class are boys?
How many students are in the class?
Answer:
[tex]Boys = 1 /4[/tex]
[tex]Total =112[/tex]
Step-by-step explanation:
Given
[tex]Girls= 3/4[/tex] --- missing information
[tex]Boys = 28[/tex]
Solving (a): The fraction that are boys
We have:
[tex]Girls= 3/4[/tex]
This implies that
[tex]Boys = 1 - Girls[/tex]
[tex]Boys = 1 - 3/4[/tex]
[tex]Boys = 1 /4[/tex]
Solving (b): Students in the class
If 1/4 are boys, then:
[tex]Boys = \frac{1}{4} * Total[/tex]
We also have that: [tex]Boys = 28[/tex]
So:
[tex]28= \frac{1}{4} * Total[/tex]
[tex]28 * 4 = Total[/tex]
[tex]112= Total[/tex]
[tex]Total =112[/tex]
Point Z is at a horizontal distance of 15 meters from the left- most point of the dam . What is the height of the dam at point Z?
Complete Question:
The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
Answer:
The height is 36 meters
Step-by-step explanation:
Given
[tex]y = 24 * \frac{x}{10}[/tex]
Required
The interpretation of the question is to determine the value of y when x = 15
Substitute 15 for x in: [tex]y = 24 * \frac{x}{10}[/tex]
[tex]y = 24 * \frac{15}{10}[/tex]
[tex]y = 24 * 1.5[/tex]
[tex]y = 36[/tex]
The height is 36 meters
Answer:
54
Step-by-step explanation:
edge
Racer's average driving speed
for a 4-hour trip was 45 miles per
hour. During the first three hours he
drove 40 miles per hour. What was his
average speed for the last hour of his
trip?
A 70 miles per hour
B. 60 miles per hour
C. 50 miles per hour
D. 65 miles per hour
Answer:
the answer is C.
Step-by-step explanation:
(50+40)/2=45
Answer:
so to average 45mph for 4 hours, he had to drive 4x45 miles total
4x45= 180miles
now we know he drove 120 miles (3x40) in the first 3 hours.
so he drove 180-120= 60 miles in the last hour.
60mph
Plzz help me I am timed!!
Answer:
B : 10 cm^3
Step-by-step explanation:
L x W x H = V
4cm x 2cm x 1 1/4 (1.25) = 10cm^3
1 1/4 = 4 x 1 = 4 + 1 = 5/4 = 1.25
Hope this helps!
I am pretty sure this is right.
I need help with this problem I'll give brainlist to whoever answers it right
4+2×3²-9
Answer:
The answer for 4+2×3²-9 is 13
Step-by-step explanation:
4+2×3²-9=13
Answer:
4+2×3-9 i think forgot
Step-by-step explanation:
What is the slope of the line below?
(-1,5)
(12,-1)
A. undefined
B. zero
C. negative
D. positive
Answer:
Positive
Step-by-step explanation:
What is the first step you would take to solve the equation shown?
4 + 4n = -12
1. Add 4
2. Subtract 4
3. Multiply by 4
4. Divide by 4
the sum of half a number, n, and 15 is 24. what is the vaule of the number n
Answer:
n = 18
Step-by-step explanation:
n/2 + 15 = 24
n/2 = 9
n = 18
Please please help
Think of your own statistical question and write it below:
Answer:
this will help u because my teacher just telled us about a statistical question
Step-by-step explanation:
The purpose of this task is to help students learn to distinguish between statistical questions and questions that are not statistical. A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
hope that help
A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. In the Microsoft Excel Online file below you will find a sample of data on years of experience of the salesperson and annual sales. Conduct a regression analysis to explore the relationship between these two variables and then answer the following questions.
Open spreadsheet
Compute b1 and b0 (to 1 decimal).
b1 =
b0 =
Complete the estimated regression equation (to 1 decimal).
= + x
According to this model, what is the change in annual sales ($1000s) for every year of experience (to 1 decimal)?
Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1.
r2 =
What percentage of the variation in annual sales ($1000s) can be explained by the years of experience of the salesperson (to 1 decimal)?
%
A new salesperson joins the team with 8 years of experience. What is the estimated annual sales ($1000s) for the new salesperson (to the nearest whole number)?
1 1 85
2 3 97
3 3 95
4 5 97
5 7 105
6 8 106
7 10 122
8 10 120
9 12 113
10 12 134
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Years of experience (X) :
1
3
3
5
7
8
10
10
12
12
Annual sales (Y) :
85
97
95
97
105
106
122
120
113
134
The estimated regression equation obtained is :
y = b0 + b1x
b0 = 82.82967
b1 = 3.46061
ŷ = 3.46061X + 82.82967
The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)
The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).
The Coefficient of determination gives the proportion of explained variance.
About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.
Using the regression equation :
ŷ = 3.46061X + 82.82967
Years of experience, x = 8
ŷ = 3.46061(8) + 82.82967 = 110.514
111 = (to the nearest whole number)
does 10,15,18 form an acute triangle
Step-by-step explanation:
Yeah, 10°+15°+18°=43°
Also, they individually are less than 90° so yes
i dont understand it
NEED HELP!!!
Find the value of X and Y
Answer:
x = 2
y = 152°
Step-by-step explanation:
✔️9x + 10 = 15x - 2 (corresponding angles theorem)
Collect like terms
9x - 15x = -10 - 2
-6x = -12
Divide both sides by -6
x = -12/-6
x = 2
✔️y + (15x - 2) = 180° (same-side interior angle theorem)
Plug in the value of x
y + (15*2 - 2) = 180
y + 28 = 180
y = 180 - 28
y = 152
Price of one CD after February discount $
Price of one CD after March markdown $
After both discounts were taken separately
60% off the regular price?
Explain why the application of two separ
discount of 60%
Answer:
vssguudgebseisiehjejsieheusssushsbddjdhfbbfjfjfnfnfnfnfnnfjfngjfjfjfjfjfjfjfjf
three years back , a father was 24 years older than his son .at present,the father is five times as old as the son.how old will the son be three years from now?
Answer:
The son is 5 I think
Step-by-step explanation:
24+3=27
27 divided by 5 = 5.4
round 5.4 to 5 since it is under .5
and you get 5
can some pals help me
Answer:
1/8th of a foot
Step-by-step explanation:
All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.
5 / 8 = 0.625 = 1/8
Is it b Brainly???Math question
Answer:
C is correct
Step-by-step explanation:
Which graph shows that y varies directly as x?
Answer:
Step-by-step explanation:
PLEASE HEELP IM GIVING BRAINLIEST TO THE FIRST CORRECT ANSWER!!!
What is an equation of the line that passes through the point (3.-1) and has a slope of 2?
y = 2x + 5
y = 2x -1
y = 2x-4
y= 2x -7
Answer:
y = 2x - 1
Step-by-step explanation:
-1 is the y-intersect of the slope
Plzz give the answers fast
Answer:
1. a. The decimal form of 1/3 is 0.33333333333...
b. To find the decimal form of (0.333333333333...)², we need to convert it to fraction. The fraction of 0.333333333333... is 1/3
(1/3)² is 1/9.
if we convert 1/9 back to decimal we get 0.11111111111111....
what is the area of this triangle?
Answer:
48
Step-by-step explanation:
Area of a triangle is 1/2(base*height)
Plug in:
1/2(6*16)
1/2(96)
48
Answer: 1,600 cm
~ i really hope that this is correct, have a gr8 day my friend!~
Step-by-step explanation:
What is 2/3 of 3/4 equal to
Answer:
3/4 Is equal to .74 and 2/3 is equal to 66.67
Step-by-step explanation:
Answer:
8/9
or
89% after being rounded to the nearest whole
Step-by-step explanation:
The connotation "of" means to divide to find the percent/part of the whole.
2/3 ÷ 3/4 = 2/3 x 4/3 = 8/9 = 0.88....
So it is either 8/9, or 89% (when rounded)
Ben hires some buses to take 768 people to a football match. Each bus can take 56 people.
Ben hires the least number of buses needed to take all 768 people. Then 19 of the people decide not to go to the football match. Does Ben still need all the buses he has hired? You must show how you get your answer.
Answer:
yes, he still needs all the buses he hired
Step-by-step explanation:
768 people/56 people per bus = 13.71, so 14 buses
768 - 19 = 749 people going
749people/56 people per bus = 13.37, so still need 14 buses
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Answer:
the answer is 9
Step-by-step explanation:
i used a caculator
Isaiah decided to build a fence around his property. He lives on a rectangular lot 70 feet long and 50 feet wide. How many feet of fence does he need to buy?
Answer:250 feet
Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do 4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it
Pls help me someone
Answer:
cos(49) = x/50
Step-by-step explanation:
(The answer to the equation is 32.8)
if anyone could help me would be much appreciated, i provided the question in a picture!!
Part A:
8t + 5h = 220
t + 5h = 112
Part B:
T-shirt cost $13.50
Hat cost $22.40
if y varies inversely with the square of x, and y=6 when x=4, find y when x=0.1
Answer:
9600
Step-by-step explanation:
y varies inversely with the square of x
y=k/(x^2)
for some non-zero constant k
y=6 when x=4
6=k/(4^2)
k=96
y=96/(x^2)
x=0.1
y=96/(0.1^2)
y=9600
Which function is graphed?
Answer:
B
Step-by-step explanation:
You can use Desmos to help with questions like these :)
A person places $9680 in an investment account earning an annual rate of 5.3%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer:
[tex]\displaystyle V \approx 25129.99[/tex]
General Formulas and Concepts:
Math
Euler's number e ≈ 2.718Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Continuously Compounded Interest Rate Formula: [tex]\displaystyle V = Pe^{rt}[/tex]
V is value of accountP is principle initially investede is base of lnr is rate of interestt is time in yearsStep-by-step explanation:
Step 1: Define
P = $9680
r = 5.3% = 0.053
t = 18 years
Step 2: Solve
Substitute in variables [Continuously Compounded Interest Rate]: [tex]\displaystyle V = 9680e^{0.053(18)}[/tex]Multiply exponents: [tex]\displaystyle V = 9680e^{0.954}[/tex]Evaluate exponents: [tex]\displaystyle V = 9680(2.59607)[/tex]Multiply: [tex]\displaystyle V = 25129.988684793[/tex]Round: [tex]\displaystyle V \approx 25129.99[/tex]