Answer:
A pencil costs $0.50
A binder costs $3.00
A notebook costs $2.50
Step-by-step explanation:
Represent Notebook with N, Pencil with P and Binder with B
For Anna:.
2N + P + 3B = 14.50
For Josh:.
N + 4P + B = 7.50
For Alex:
3N + 2P + 2B = 14.50
Required
Solve for N, P and B
Make N the subject in the second equation
N + 4P + B = 7.50
N = 7.50 - 4P - B
Substitute 7.50 - 4P - B for N in the first equation
2N + P + 3B = 14.50
2(7.50 - 4P - B) + P + 3B = 14.50
Open Bracket
15.0 - 8P - 2B + P + 3B = 14.50
Collect like terms
3B - 2B + P - 8P = 14.50 - 15.0
B - 7P = -0.50
B = 7P - 0.50
Substitute 7.50 - 4P - B for N in the third equation
3N + 2P + 2B = 14.50
3(7.50 - 4P - B) + 2P + 2B = 14.50
22.50 - 12P - 3B + 2P + 2B = 14.50
Collect Like Terms
2P -12P + 2B - 3B = 14.50 - 22.50
-10P - B = -8
Multiply through by -1
10P + B = 8
Recall that B = 7P - 0.50
10P + B = 8 becomes
10P + 7P - 0.50 = 8
17P - 0.50 = 8
17P = 8 + 0.50
17P = 8.50
Divide through by 17
P = 8.50/17
P = 0.50
This implies that a pencil costs $0.50
Substitute 0.50 for P in B = 7P - 0.50
B = 7 * 0.50 - 0.50
B = 3.50 - 0.50
B = 3.00
This implies that a binder costs $3.00
Substitute 3.00 for B and 0.50 for P in N = 7.50 - 4P - B
N = 7.50 - 4 * 0.50 - 3.00
N = 7.50 - 2.00 - 3.00
B = 2.50
This implies that a notebook costs $2.50
14) At a school 5/8 of the teachers are male
There are 72 teachers
work out how many teachers are female
Answer:
45
Step-by-step explanation:
72 ÷ 8 = 9. Every 9 teachers is [tex]\frac{1}{8}[/tex]. Since there are [tex]\frac{5}{8}[/tex]teachers that are male, 9 x 5 = 45 female teachers, which leaves 25 male as well
hope this helped
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.
Answer:
a. y-intercept = 23350 and x-intercept = 13
b. [tex]m = -\frac{23350}{13}[/tex]
c. [tex]y = -\frac{23350}{13}x + 23350[/tex]
Step-by-step explanation:
Given
[tex]Years = 13[/tex]
[tex]Total\ depreciation = \$23350[/tex]
Solving (a): The x and y intercepts
The y intercept is the initial depreciation value
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x intercept is the year it takes to finish depreciating
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Solving (b): The slope
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
So:
[tex]m = \frac{23350}{13}[/tex]
Because it is depreciation, it means the slope represents a deduction.
So,
[tex]m = -\frac{23350}{13}[/tex]
Solving (c): The straight line equation
The general format of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]b = y\ intercept[/tex]
In (a), we have that:
[tex]y\ intercept = 23350[/tex]
In (b), we have that:
[tex]Slope\ (m) = -\frac{23350}{13}[/tex]
Substitute these values in [tex]y = mx + b[/tex]
[tex]y = -\frac{23350}{13}x + 23350[/tex]
Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]
40 coins = 7.75 how many are quarters
Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.
Answer:
25
Step-by-step explanation:
because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.
(-4)100x(-4)20 answer in exponential form please
Answer:
the answer is (-4)^120
There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.
Answer:
Yes
Step-by-step explanation:
A = L x W
A = 236 x 85
A = 20,060
20,060 is more than 20,000 so yes
Write the slope intercept form of the equation of the line through the given point plz
Please graph this and if you do I'll give you brainliest (If you just say deijos or not enough info I will report and you may get banned *You have been warned* Please help though if you can.
Answer:
[tex]use \: the \: following \: ponts \: to \: graph \\ \: the \: equation \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]
Step-by-step explanation:
[tex]when \: \boxed{f(x) = 3x - 5} : \: if \: \boxed{x \leqslant - 1} \\then \to \: \boxed{x = - 1} \\ f(x) = 3( - 1) - 5 \\ f(x) = - 4 - 5 \\ f(x) = - 9 \: ......... \: hence \to \\ \underline{\boxed{( - 1, \: - 9)...... \boxed{is \: the \: first \: point}}} \\. \\ . \\ . \\ when \: \boxed{f(x) = - 2x + 3} : \: if \: \boxed{ - 1 < x < 4} \\then \to \: \boxed{x = 1} \\ f(x) = - 2( 1) + 3 \\ f(x) = - 3 + 3 \\ f(x) = 0 \: ......... \: hence \to \\ \underline{\boxed{( 1, \: 0)...... \boxed{is \: the \: second \: point}}} \\ . \\ . \\ . \\ when \: \boxed{f(x) = 2 } : \: if \: \boxed{ \geqslant 4} \\then \to \: \boxed{x = 4} \\ f(x) = 2 \: ......... \: hence \to \\ \underline{\boxed{(2, \: 4)...... \boxed{is \: the \: third \: point}}} [/tex]
Reflect the figure over the line y = -1/2x +1.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.
The reflected image is shown in the first attachment.
__
If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...
(x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)
Example:
C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)
Find the number of miles per hour in each of the following cases,
100 miles per hour 200 miles per hour 900 miles per hour
000 miles in 9 hours
9000 miles in 00 hours
100 miles in 5 hours
100 miles
100 miles
100 miles
100 miles 100 miles
100 miles ok?
what is 3х - 4<-19=
Answer:
x= -5
Step-by-step explanation:
3х - 4<-19=
add +4 to both sides
3x<-15
divide 3 on both sides
x<-5
might have to rewrite the final answer
Which of the following fractions is closest to
5/8
2/3
13/20
11/16
helpp plssssss i need
Answer:
3m^4
Step-by-step explanation:
x^y
x is the base and y is the exponent
AABC~ AQRS
Find the missing side length, m.
AR
В B.
h 7.2.
6
10
12.
А.
"C с
3
m
S
ol
You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?
identify two factors that have a product of 1 7/8
The cougars baseball team played 16 games last year and won 12 of them. They are scheduled to play 28 games. If they end up winning the same percentage,how many games will they win? Pls help ASAP!!
Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020
Answer: A
Step-by-step explanation:
Answer:
Its b
Step-by-step explanation:
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
Answer:
0.533 miles/min
Step-by-step explanation:
Calculate how fast the balloon is rising at the moment : dy /dt
location from the lift-off point = 4 miles
angle between the observer's line-of-sight and the horizontal ( ∅ ) = [tex]\frac{\pi }{6}[/tex]
d∅ / dt = 0.1 rad/min
tan ∅ = y / 4
derivate
sec^2 ∅ . d∅ / dt = 1/4 . dy/dt
= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt
= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt
dy/dt = 8 / 15 miles/min
What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300
Answer:
13000
Step-by-step explanation:
If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000
One zero added is one power in scientific notation
Answer:
C. 13,000
Step-by-step explanation:
You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros
Find the domain of the function. g(x)=√2+x Write your answer using interval notation.
Answer:
2+x=O
x= -2
x€ Real number [-2+ infinite )
Answer:
[tex]x\geq -2[/tex]
Step-by-step explanation:
[tex]g(x)=\sqrt{2+x}[/tex]
We know we can only take the square root of a number greater than or equal to 0.
[tex]2+x\geq 0\\x\geq -2[/tex]
Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me
Refer to question: https://brainly.com/question/18999872
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd
What is the percent of change from 10 to 3?
Answer:
Convert the fraction to a decimal, then multiply by 100100.
−70%
Step-by-step explanation:
Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.
There is -70% change when value change from 10 to 3.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
The original value is 10,
The value is change to 3
The difference of changed value and original value = 3 - 10 = -7
The percentage of change = (-7/10)x100
= -70%
The change in percent is -70%, negative sign shows that value decreases.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2
After a party there were 2 2/3 pepperoni pizzas and 1 5/6 cheese how many pizzas are left?
Answer:
4.5
Step-by-step explanation:
2+1=3
2/3+5/6=1.5
3+1.5=4.5
workout the value of (10^4)^2
Answer: the answer is 100000000
Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000
Please help me and explain this.
A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?
Write the equation in standard form using integers
y= -4/5x -6
Answer:
3x+5y=10 hope this helped !!
Helppppppp
I need to find the area for this
Answer:
126
Step-by-step explanation:
70+56
On a map, 12 inch represents 45 mile.
What distance on the map represents 1 mile?
25 in.
58 in.
135 in.
212 in.
I'll give brainlyest.
Answer: 5/8 inch represents 1 mile
Step-by-step explanation:
to get 1, multiply 4/5 by its reciprocal, 5/4
Then multiply 1/2 by 5/4
1/2 × 5/4 = 5/8
Answer: The correct answer is 5/8
Step-by-step explanation: Answer verified as correct on test