Given :
The ratio of the number of adults to the number of students at a field trip has to be 3:8.
During a current field trip, there are 190 more students on the trip than there are adults.
To Find :
How many students are attending the field trip? How many adults?
Solution :
Let, number of adults are x.
So, number of students are x + 190.
We know :
[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]
Number of students are 114 and number of adults are 114+190 = 304.
Hence, this is the required solution.
help!
Instructions: Write an expression to represent the given scenario.
Your friend Isabella is growing her hair out so that she can cut it and donate it to a charity that makes wigs for childhood cancer victims. On average, hair typically grows 1.5 cm per month. Write an expression that represents the total growth Isabella should expect based on the number of months, m, she lets her hair grow.
Answer:
y = 1.5m
Step-by-step explanation:
Since we are finding the length after a certain number per month, that means we will be multiplying.
1.5 for EVERY month so it would look like
_ = 1.5m
We can replace the blank with the variable y.
y = 1.5m
Hope that helps and have a great day!
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.
Let the Total fraction of caramel apples = 1
1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles
Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )
LCM of denominator = 30
= 1 - (6 + 10 + 9/30)
= 1 - 25/30
= 5/30
= 1/6
How many caramel apples are covered with sprinkles
This is calculated as :
Fraction of caramel apples covered in sprinkles × Total number of caramel apples
= 1/6 × 120
= 20 caramel apples covered in sprinkles.
the value of y varies directly with x. If x=13, ten y=65. What is the value of x when y=35?
Answer:
x=7
Step-by-step explanation:
direct variation is in the form y=kx
65 = k 13
by dividing both sides be 13, we see that 5 = k
thus, we can then take the next situation 35 = 5x
dividing both sides by 5 brings us to 7 = x
Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.
Answer:
C. The area of the blue circle is equal to the sum of areas of green square and black circle.
Step-by-step explanation:
The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.
. John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. *
Complete question :
John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. * 1 point A. The shirt will have the lowest price with the $20 off coupon. B. The shirt will have the lowest price with the 20% off coupon. C. The shirt will cost the same with either coupon. D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
Given two different coupon options :
First: 20% off
Second = $20 off
To our hase with one which enables one to pay the amount of money :
The price of the shirt will determine which of the coupons will give the least amount. For instance, a shirts which which cost below $100 will require the $20 off coupon in other to attain the least payment amount. However for shirts which cost above $100, the 20% coupon yield the least amount. Shirts which cost $100. Both coupons yields the same discount amount.
The ocean exploration institute has a submarine that is used to study patterns of fish moment the submarine started at the surface of the water and collected data at three different depths each time the submarine dove 40 feet down write an integer equation to model the situation and determine the lowest depth of the submarine
Answer:
120 feet
Step-by-step explanation:
Given that the submarine started at the surface of the water and collected data at three different depths.
As each time the submarine dove 40 feet down, so,
the depth covered in one dive = 40 feet.
From the surface, the depth covered in 1 drive, [tex]d_1= 40[/tex] feet
Similarly, the total depth covered in 2 drive, [tex]d_2 = 2\times 40= 80[/tex] feet.
So, for any integer [tex]n[/tex], the depth covered in [tex]n[/tex] drive,
[tex]d_n=40n[/tex]
This is the required integer equation to model the situation.
Since, for three different depths, there must be 3 drive and the submarine will be at the lowest depth after 3rd dive.
So, for the lowest depth, n=3
Hence, the lowest depth = 40x3= 120 feet.
I need help with this pls help
Answer:
Step-by-step explanation:
What is the measure of
Answer:
9
Step-by-step explanation:
3x+18+9x-27=99
12x-9=99
12x=108
x=9
A rational function in the form ax^m+.../bx^n+... has a slant (oblique) asymptote when ________.
(A.) a=b
(B). m=n
(C). m n
Answer:
M>N
Step-by-step explanation:
I got it right
Three friends order a pizza. Danny eats 1/2 of the pizza, Mike eats 1/3 of the pizza, and Chris eats 1/6 of the pizza. The next day they order a pizza and Danny eats 1/8, Mike eats 1/2, and Chris eats 3/8. Who ate the most pizza over the two days?
Answer:
It Mike who ate the most pizza
Step-by-step explanation:
The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB
Answer:
The area of the triangle AOB is 10
Step-by-step explanation:
The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.
To find the intercepts, we set the other variable to zero and solve the resulting equation.
Set x=0, the y-intercept is found as follows:
4(0)+5y-20=0
5y=20
y=20/5=4
The y-intercept is y=4
Set y=0, the x-intercept is now found:
4x+5(0)-20=0
4x=20
Solve:
x=20/4=5
The x-intercept is x=5
Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]
The area of the triangle AOB is 10
The function g(x) is defined as shown.
What is the value of g(0)?
27. Mrs. Smith bought stock valued at $142.00 per share and sold it
for $153.83. What was the percent of profit?
Answer:
8 1/3
Step-by-step explanation:
153.83/142=1.0833333, meaning she made an additional 8.33333 percent more profit.
At the grocery store, Mr. and Mrs. Bailey bought 24 apples and 18 pears. Write a ratio in simplest form to compare apples and pears.
Answer:
4:3
Step-by-step explanation:
Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.
What am I supposed to do?
Answer:
28
Step-by-step explanation:
ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28
14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?
O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in
What is the average rates of change of f(x) = x2-5 over the interval [-2,0].
Select the correct answer.
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18
Answer:
The answer is C, hope that helps:)
Step-by-step explanation:
Click through the graphs and select the one that best represents someone driving away from their house and having to stop for a stoplight at the corner.
Answer:
Its the last one
Step-by-step explanation:
I just did it and it was right
The graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)
What is graph?A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.
To make it clear let us consider we have two variables x and y where,
y=2x
The variable that is made to alter or change is called the independent variable. Here in our case x is an independent variable. Another variable that varies as a result of the change in the independent variable is called the dependent variable.
Here y is the dependent variable whose value changes with change in the value of x.
As, from the situation someone driving away from their house then the distance will increase which is shown as the rising line of the graph.
Now, stop for a stoplight at the corner then to stop the car the speed should be decrease which tends to zero which is shown by the down line in the graph.
Hence, the graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)
Learn more about graph here:
https://brainly.com/question/17267403
#SPJ2
Jack feeds his dog 34 cups of dog food every day. How many days will 6 cups of dog food feed Jack's dog?
Answer:
Dog food will be enough for 8 days
Brainliest pls
Step-by-step explanation:
There are 81 cal in a 3/4 cup serving of chicken noodle soup how many calories are in a 2/3 cup serving?
Answer:
There are 72 cal in 2/3 cup serving of noodle soup
Step-by-step explanation:
The given parameters are;
The amount of calories in 3/4 cup serving of chicken noodle soup = 81 cal
The amount of calories in a 2/3 cup serving is given as follows;
3/4 cup contains 81 cal
1 cup contains 81/(3/4) cal = 81 × 4/3 cal = 108 cal
1 cup contains 108 cal
2/3 cup contains = 2/3 × 1 cup = 2/3 × 108 cal = 72 cal
2/3 cup contains 72 cal
Therefore, there are 72 cal in 2/3 cup serving of noodle soup.
Need help with this please
Answer: -2
Step-by-step explanation:
Slope=rise/run
In this case we rise up 4
And we run 2 to the left which makes it a negative
So in this case the slope is -4/2
Which can be simplified to -2
.
The diameter of the handle of a softball bat is inches. What is the length in inches of the diameters of 8 if these bat handles?
The diameter of the handle of a softball bat is 1 ¾ inches.
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE AND THANK YOU?!
Answer:
AB is parallel to YZ, BC is parallel to XY, AC is parallel to XZ.
Solve the absolute value equation. |2x-31| = 17
Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!
Hurry quick I need help!!!!!!!!
A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35 teaspoons of blue paint, how much red paint would you need? Complete the double number line below to find the amount of red paint and circle this ratio.
Answer:
87.5 teaspoons
Step-by-step explanation:
Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.
So, Purple paint : Blue paint = 6 :15
To make the same shade the ratio of purple and blue paint must be the same.
In the new mixture, the amount of purple paint =35 teaspoon.
let the amount of red paint =x teaspoon.
So, in the new mixture,
Purple paint : Blue paint = 35 : x
So, to make the same shade, the ratio of purple and red paint must be the same, i.e
35 : x = 6 :15
[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]
[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]
Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.
Website A offers tickets to a local charity event for $7.50 each plus a $14.25 handling fee, while Website B offers the tickets for $8.50 plus a $3.25 handling fee. Which equation can be used to determine how many tickets need to be purchased in order for the cost to be the same?
Answer:
14.25+7.50x=3.25+8.50x
Step-by-step explanation:
From the information given, the equation that can be used to determine how many tickets need to be purchased in order for the cost to be the same would indicate that the price of purchasing tickets on website A would be equal to the price of purchasing tickets on website B, which is:
14.25+7.50x=3.25+8.50x, where x is the number of tickets purchased
14.25-3.25=8.50x-7.50x
11=x
x=11
Eight less a number is less than or equal to seventeen. I want the solution to be simplified and I want x with my answer.
Answer:
x-8≤17
x ≤ 25
Step-by-step explanation:In the diagram, which angles from a linear pair ? Select 3 options