There are 40 GT students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each GT student be able to spend on lunch?
Step-by-step explanation:
There are 40 DuBois students going on a field trip.
Each one pays their teacher $8.75 to cover admission to the museum and lunch.
Admission for the students is $120 and each one gets an equal amount to spend on lunch.
To Find :
How much will each DuBois student be able to spend on lunch.
Solution :
Amount they paid for admission :
\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3
Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .
Hence, this is the required solution.
Answer:
Each GT student gets $3 for lunch
Step-by-step explanation:
40 GT student gave teacher $8.75 so you multiply 40 by 8.75= $350.00
To find how much they need to spend for lunch you divide $120 by 40 student because they paid for it. And you get $3!
I hope this helps!
what answer is it GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
The product mean multiplication
A field has an area of 64400m^{2} .
Calculate the area of the field. On the map in cm^{2} .
PLEASE HELP ME TO SOLVES IT SOON!
Answer:
[tex]644,000,000\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]
[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]
Find the inverse function of f(x)=15x-1
Answer:
f'(x) = (x + 1)/15
Step-by-step explanation:
f(x) = 15x -1,
Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.
f(x) = 15x - 1
+1 +1
f(x) + 1 = 15x
/15 /15
(f(x) + 1)/15 = x
This means that (denote in the way one would denote an inverse of a function);
f'(x) = (x + 1)/15
Helllllllllllllllllpppppppppppppppppp
Answer:
Help with what?
Step-by-step explanation:
how do you solve 4devided by
12 step by step long division
Answer:
3
Step-by-step explanation:
4 x 3 = 12
4 ÷ 12 = 3
its like multiplication just changing the way you solve it
Answer:
.33
Step-by-step explanation:
An amusement park sells child and adult tickets at a ratio of 3:1. On Saturday, they sold 63 adult tickets. How many child tickets did the amusement park sell?
Answer:
The number of child tickets sold by the amusement park is 189.
Step-by-step explanation:
Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:
3:1 = C:A .................... (1)
Where;
C = ?
A = 63
Substituting for the value into equation (1), we have:
3:1 = C:63
This can be converted to solve for C as follows:
3 / (3 + 1) = C / (C + 63)
3 / 4 = C / (C + 63)
0.75 = C / (C + 63)
0.75(C + 63) = C
0.75C + (0.75 * 63) = C
0.75C + 47.25 = C
47.25 = C - 0.75C
47.25 = 0.25C
C = 47.25 / 0.25
C = 189
Therefore, the number of child tickets sold by the amusement park is 189.
Evaluate the expression 3r^2 if r = 1/6.
Answer:
0.08333
Step-by-step explanation:
3(1/6)^2
1/6=0.1666
1/6^2=0.02777
3*0.02777=0.08333
Answer:
1/12
Step-by-step explanation:
This is the answer because:
1) 1/6^2 = 1/36
2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12
Therefore, the answer is 1/12.
Hope this helps! :D
Find the common difference of the arithmetic sequence 7, 2, -3,
Help me please!!!!!!
Answer:
1. Equatoin = y = 2/9x + 1 Slope = 2/9 Y- interpects= 1
2.Equatoin = y= 7/5x - 7 Slope = 7/5 Y- interpects= 7
Step-by-step explanation:
Select all that apply.
Which rates are equivalent to 25 miles per gallon?
50 miles
1.5 gallons
100 miles
.8 gallons
50 miles
gallons
75 miles
3 gallons
Answer:
75 miles- 3 gallons
Step-by-step explanation:
What is the gallons for 50 miles? It doesn't say...
A train covered first 120 km at a speed of 20 km an hour and then covered
the remaining 180 km at a speed of 45 km an hour. Find its average speed.
stap by step explanation
Answer:
Ans 30 km per hour............
The area of a circle varies directly as the square of its radius. A circle with radius 2 in. Has area 12.568 in.^2 . What is the area of a circle with radius 6.4in.?
Answer:
[tex]A_2=128.69\ in^2[/tex]
Step-by-step explanation:
The area of a circle varies directly as the square of its radius.
[tex]A=\pi r^2[/tex]
If r₁ = 2in, A₁ = 12.568 in₂, r₂ = 6.4 in, A₂ = ?
ATQ,
[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}\\\\A_2=\dfrac{A_1r_2^2}{r_1^2}\\\\A_2=\dfrac{12.568 \times 6.4^2}{2^2}\\\\=128.69\ in^2[/tex]
So, the new area of the circle is [tex]128.69\ in^2[/tex].
What is the slope of the line that contains the two ordered pairs (1, 3) and (2, 5)?
1. 192 students in 4 buses
in each bus
Answer:
48 students on each bus
Step-by-step explanation:
Divide 192/4
ez
Please help me out!!!!!
Answer:
The domain is the range of values that the function expands over.For example x^2 has a domain of all real values on the ordinary number line.Recognize that 4/x is simply a modification of 1/x.Hence the graph looks like two parabolic motions on the x-y plane So the domain is [tex]( - \infty, 0) U(0 ,\infty )[/tex]Note that X cannot equal 0.Hope this helps! Rate positively and give brainlistA scientist is worried about a new disease being spread by mosquitoes in an area. The
scientist captures a random sample of 137 mosquitoes from the area and tests them to find out whether they carry the disease. In this sample, 22 of the mosquitoes were carrying the disease.
Using this information, the scientist uses 100 simulations of additional samples with the
same proportion of disease-carrying mosquitoes from the sample to determine that the
standard deviation for the proportion of mosquitoes carrying the disease is approximately
0.029.
1. Estimate the proportion of mosquitoes in the area that carry the disease, and provide a margin of error. Explain or show your reasoning.
2. Why did the scientist run the simulations to find additional possible proportions of
mosquitoes in the area that carry the disease?
Answer:
1. The estimate of the proportion of mosquitoes in the area that carry the disease is approximately 0.1606 or 16.06%
2. To check for accuracy of the of the value of proportion of disease carrying mosquito in the area
Step-by-step explanation:
The given parameters are;
The number of mosquitoes in the sample = 137
The number of mosquitoes that carry the disease = 22
1. The estimate of the proportion of mosquitoes in the area that carry the disease = (Number of mosquitoes with the disease)/(The number of mosquitoes in the sample)
The estimate of the proportion of mosquitoes in the area that carry the disease = 22/137 ≈ 0.1606 or 16.06%
2. The reason the scientist run the simulations to find additional possible proportions of mosquitoes in the area that carry the disease is to check for variability and accuracy of the proportion of disease carrying mosquito in the area.
1. The proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.
2. To ensure that the proportion of disease-carrying mosquitos in the region is accurate.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
There were 137 mosquitos in the sample,[tex]\rm N_s[/tex]
The number of disease-carrying mosquitos is,[tex]\rm N_m[/tex]=22
The estimated proportion of disease-carrying mosquitos in the region is found as;
[tex]\rm D_m=\frac{N_m}{N_s} \\\\ \rm D_m=\frac{22}{137} \\\\ D_m=16.06 \ %[/tex]
2. The scientists used simulations to determine alternative probable proportions of disease-carrying mosquitos in the region in order to check for variability and accuracy in the proportion of disease-carrying mosquitos in the area.
Hence,the proportion of mosquitoes in the region that carry the illness is estimated to be 16.06%.
To learn more about the ratio, refer to the link;
https://brainly.com/question/14335762
#SPJ5
Can someone help me with this
Answer:
(-8;11] is the range of the graph
Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation
Answer:
$360
Step-by-step explanation:
Let the amount that she earned on the paycheck be represented by x
Hence,
15% of x = $54
Therefore:
15/100 × x = $54
15x/100 = $54
Cross Multiply
15x = $54 × 100
15x = $5400
x = $5400/15
x = $360
Therefore, the amount that she earned on that paycheck = $360
find the quotient of 3/4 and 5/6 in its simplest form
Answer:
= 1 R 2
= 1 2/3
Step-by-step explanation:
4/7 + 1/5 =
Show full steps
Topic: Adding fractions
Answer:
27/35
write all numerators above the LCD 35
20 + 7 over 35
add the numerators
The answer is in the two images below and one of them shows step-by-step on how to solve it.
Hope this helps my friend! :)
If the dividend is a whole number and the divisor is 3.68, how do you move the decimal point for the dividend? The one who answer thank you so much I need it for my math today!!! 12/23/20 Happy new year and Merry Christmas!!! <3
Answer:
Move it two places to the right
Step-by-step explanation:
For example:
10/3.68= 2.717
See attached snip
Giving Brainliest.
Using the substitution method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.
`2x+y=20`
`6x-5y=12`
Answer:
2x+y=20 and -5y=6x+12 are your equations.
You can turn 2x+y=20 into y=-2x+20
Substitute this value of y into the other equation.
-5(-2x+20)=-6x+12
10x-100=-6x+12
16x=112
x=7
Substitute this value of x into the other equation.
2(7)+y=20
y=6
Your answer is x=7 and y=6.
A pair of fair dice is thrown.what is the probability of obtaining a sum of
A) At least 8
Answer:
[tex]p(e) = \frac{5}{36} [/tex]
Step-by-step explanation:
A dice contains numbers from 1 to 6.
Number whose sum is 8
2 and 6
3 and 5
4 and 4
5 and 3
2 and 6
When two dice is thrown, There are 36 possibilities {6(from the first dice) × 6(from the second dice)}.
Probability of obtaining a sum of 8 is 5/36.
. The table below shows a relationship between x and y. x y -2 -5 0 1 2 7 4 13 Which of the following equations best represents this relationship? y = 3x + 1 y = 3x - 1 y = -2x - 5 y = x + 1
Answer:
the answer is B
Step-by-step explanation:
your welcome
Answer:
y=3x-17
Step-by-step explanation:
find the aspect ratio width/length of a ping-pong table which is 108 inches long and 5 feet wide. If child's
ping-pong table has the same aspect ratio and it has a width of 3 feet, how long is the table in inches.
Solve by any method -7x-4y=-4. 14x+10y=24
Answer: x=−4.895105y
Step-by-step explanation:
−7x−4y=−4.14x+10y
Step 1: Add 4.14x to both sides.
−7x−4y+4.14x=−4.14x+10y+4.14x
−2.86x−4y=10y
Step 2: Add 4y to both sides.
−2.86x−4y+4y=10y+4y
−2.86x=14y
Step 3: Divide both sides by -2.86.
−2.86x
−2.86
=
14y
−2.86
x=−4.895105y
the area of this figure is?
Answer:
i think its 81
Step-by-step explanation:
Answer:
106 sq meters
Step-by-step explanation:
Break the figure down. I have attached an image as you can see see below.
The figure consists of three rectangles
So Area of rectangle 1 is = 4 x 7 = 28 sq meters
So Area of rectangle 2 is = 10 x 5 = 50 sq meters
So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles
So area of the whole figure is = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of whole figure is = 28 + 50 + 28
Area of whole figure is = 106 sq meters.
An average American child aged 0-2 years old has about 915 minutes of screen time in 5 days. 6 times the difference between a child aged 0-2 years (915) and a child aged 3-5 years (X) is the same as the sum of 100 and a child aged 3-5 years (X). How much screen time does an average child (x) have?
Answer:
For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.
Step-by-step explanation:
For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
bags. Which type of grape is most expensive?
A Green grapes
B) Red grapes
They are both the same price
Answer:
Green grapes are less expensive.
Step-by-step explanation:
5.08/2 = 2.54
Multiply that by 5
You get $12.70 for 5 bags.