A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry?
Find the value of the expression:
56 ÷ 7 + 7 × 3
I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct
A triangle has an angle that measures 90°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?
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he graph below shows the price of different numbers of cans of beans at a store: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 19, 38, 57, 76, and 95. Points are shown on ordered pairs 0, 0 and 2, 19 and 4, 38 and 6, 57 and 8, 76. These points are connected by a line. The label on the x axis is Number of Cans. The title on the y axis is Price in dollars. Which equation can be used to determine p, the cost of b cans of beans?
The equation which can be used to determine p, the cost of b cans of beans will be;
⇒ p = 9.5b
What is Equation of line?
The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The values on the x - axis are 0, 2, 4, 6, 8, 10.
The values on the y- axis are 0, 19, 38, 57, 76, and 95.
These points are connected by a line.
The label on the x axis is Number of Cans.
The title on the y axis is Price in dollars.
Now,
Find the equation as;
Let two points from the table are,
⇒ (0, 0) and (2, 19)
So, The equation of line passing through the points (0, 0) and (2, 19) is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 0 = (19 - 0) / (2 - 0) (x - 0)
⇒ y = 19/2x
⇒ y = 9.5x
So, The equation which can be used to determine p, the cost of b cans of beans will be;
⇒ p = 9.5b
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Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 333 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 333 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
The event "Atleast once" is the complement of event "None".
So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.
At Morning, the probability that Marvin does not teleport = 2/3
Likewise, the probability tha Marvin does not teleport during evening is also 2/3.
Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.
So, the probability that Marvin does not teleport during the day = [tex] \frac{2}{3}*\frac{2}{3}=\frac{4}{9} [/tex]
Probability that Marvin teleports atleast once during the day = 1 - Probability that Marvin does not teleport during the day.
Probability that Marvin teleports atleast once during the day = [tex] 1-\frac{4}{9}=\frac{5}{9} [/tex]
Answer:
5/9
Step-by-step explanation:
The chances he teleports in the morning is 2/3
Same for the evening.
so mulitply the two choices 2/3 * 2/3= 4/9
Then add 1 to account for teleports ONCE a day
1+4/9= 5/9
Sally has 20 feet of ribbon to use to cut the ribbon in the equal-sized links to make bracelet she wants to compare how many bracelets you can make if she uses different links right algebra expression that Sally can use to figure out how many bracelets you can make if she cuts the ribbon into a 7 and 1/2 inch or 6 and 3/4 inch length
Answer:
1) 32 bracelets if she cuts the ribbon into a 7 and 1/2 inch.
2) 35 bracelets if she cuts the ribbon into a 6 and 3/4 inch.
Step-by-step explanation:
1) Length of the ribbon = 20 feet = 240 inches
1 foot = 12 inches
Length of the ribbon required to make a bracelet = [tex]7\frac{1}{2}=\frac{15}{2}inches[/tex]
Let the number of bracelets Sally can make from 20 feet ribbon be x.
[tex]x=\frac{240 inches}{\frac{15}{2}inches}=32[/tex]
32 bracelets if she cuts the ribbon into a 7 and 1/2 inch.
2) Length of the ribbon = 20 feet = 240 inches
1 foot = 12 inches
Length of the ribbon required to make a bracelet = [tex]6\frac{3}{4}=\frac{27}{4} inches[/tex]
Let the number of bracelets Sally can make from 20 feet ribbon be x.
[tex]x=\frac{240 inches}{\frac{27}{4}inches}=35.555\approx 35[/tex]
35 bracelets if she cuts the ribbon into a 6 and 3/4 inch.
The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?
Rosa has a rectangle shaped backyard where the length is two less than twice the width. If the area of the garden is 420 square feet, find the dimensions of Rosa's garden?
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
[tex]x=50.6cm[/tex]
Step-by-step explanation:
Triangle MAB is similar to triangle MNP
Since the triangles are similar, the corresponding ratios are in the same proportion.
Therefore we can write the relation;
[tex]\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}[/tex]
[tex]\frac{x}{72.6}=\frac{46.2-14}{46.2}[/tex]
This implies that;
[tex]\frac{x}{72.6}=\frac{32.2}{46.2}[/tex]
We multiply both sides by 72.6 to get
[tex]\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6[/tex]
[tex]\Rightarrow x=50.6[/tex]
Hence the value of [tex]x[/tex] is 50.6 cm
Question: A chicken soup recipe calls for 11 cups of chicken stock. How much is this in quarts?
Image is the key
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Jim is painting the inside of a circular helicopter pad. How many cans of paint would he need if the pad is 50 feet across and each can of paint covers about 200ft^2?
Please add how you got your answer and thank you very much!
Final answer:
To find out how many paint cans Jim needs, calculate the area of the circular pad using the formula πr^2 and divide by the coverage area of one can. For a 50 feet diameter pad, Jim would need approximately 10 cans of paint.
Explanation:
To calculate the number of paint cans needed, we first need to find the area of the circular helicopter pad. The diameter of the pad is given as 50 feet, so the radius is half of that, which is 25 feet. The area A of a circle is calculated using the formula A = πr^2, where r is the radius.
Substituting the radius into the formula gives:
A = π(25 feet)^2
A = 3.14159 × (25 feet) × (25 feet)
A = 3.14159 × 625 feet²
A = 1963.495 feet²
Since each can covers about 200 square feet, we divide the total area by the coverage area per can:
Number of cans = 1963.495 feet² / 200 feet²/can
Number of cans ≈ 9.82 cans
Since Jim cannot buy a fraction of a can, he would need to round up, meaning he would need 10 cans of paint to cover the helicopter pad.
there are 6 flavors of candy in a bag strawberry lime lemon cherry or grape what is the probabilty of selecting blueberry
Can I get help on this please
A ladder is put against a wall of 8m high. If the foot of the ladder from the wall is 6m what is the length of ladder ( draw
diagram).
Research scientists need a certain type of bacteria to conduct an experiment. There are 100 bacteria in a certain culture. The culture grows at a rate of 70% daily. The scientists need at least 1,400 bacteria to conduct an experiment. What is the least number of days they must wait for the bacteria culture to reach a quantity of 1,400? (Hint: use a guess-and-check method to determine the lowest number of days that satisfy the requirement.) A. 4 days B. 5 days C. 6 days D. 7 days
1) Latricia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season?
a) 15
b)75
c) 150
d)200
Final answer:
The correct option is (d) 200. By using a proportion based on the sample data where 51 students (25% of the grade) chose summer, it can be predicted that approximately 204 students in total would choose summer. The closest provided option to this calculated number is 200.
Explanation:
Latricia surveyed 25% of the seventh-grade students, and out of this sample, 51 students chose summer as their favorite season. To find the total number who would choose summer, we assume that the sample is representative of the entire grade. If 51 represent 25%, then to find 100% (the whole grade), we use the following proportion:
Sample size (25%) : Number who chose summer in sample (51) = 100% : Total number who would choose summer
To solve the proportion for the total number who would choose summer, we set up a simple equation:
25% / 51 = 100% / x, where x is the total number we want to find.
To find x, we multiply both sides by x and divide by 25%:
x = (51 * 100%) / 25%
x = (51 * 4)
x = 204
Therefore, the most reasonable prediction for the number of seventh-grade students who would choose summer as their favorite season is 204. However, since 204 is not one of the options provided, we will choose the closest option, which is (d) 200.
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do question 28 and please explain how you got your answer.
Thank you so much for your time.
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Simplify.
3.5+2y−1+3y−6y
Enter your answer in the box.
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Help Find X
I am lost
Sabrina has designed a rectangular painting that measures 55 feet in length and 30 feet in width. Alfred has also designed a rectangular painting, but it measures x feet shorter on each side. When x = 3, what is the area of Alfred's painting?
The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
(a) Sketch the roof of the castle tower. Label the known lengths as described and label the unknown length as x.
(b)What is the slant height of the roof?
Answer:
a) See the attachment (measurements are in meters).
b) x = √(12² + 16²) = √(144 + 256)
= √400 = 20
The slant height of the roof is 20
meters.
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point P is the fourth vertex of the rectangle.
How long is the side of the rectangle connecting points L and P?
Enter your answer in the box.
A triangle has sides with lengths of 60 centimeters, 63 centimeters, and 87 centimeters. Is it a right triangle
Since the given lengths satisfied the Pythagorean theorem then the given triangle is a right angled triangle.
Use the concept of the triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
And the Pythagoras theorem for a right angled triangle is also defined as:
(Hypotenuse)²= (Perpendicular)² + (Base)²
The given length of sides are:
60 centimeters, 63 centimeters, and 87 centimeters.
Now take,
Hypotenuse = 87 cm
Base = 63 cm
Perpendicular = 60 cm
Apply the Pythagorean theorem,
87² = 60² + 63²
Calculating it,
7569 = 7569
Since the given sides satisfied the Pythagorean theorem,
Hence,
The triangle is a right angled triangle.
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:(( Pls help!! Chantel would like to buy a new pair of running shoes. The shoes she likes start at $85. She has already saved $62, write an inequality to show how much more money Chantal must save.
62+x≥85 is the inequality to show how much more money Chantal must save.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Chantel would like to buy a new pair of running shoes.
The shoes she likes start at $85.
Chantel has already saved $62.
We need to find the inequality to show how much more money Chantal must save.
Let x be the more money needed to purchase the shoes.
62+x≥85
Subtract 62 from both sides
x≥85-62
x≥23
Hence, 62+x≥85 is the inequality to show how much more money Chantal must save.
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Classify the following triangle as acute, right or obtuse. A triangle with side lengths of 12 in, 15 in, and 20 in. Explain why.
how do you solve:
18(18)=x(x+15)
What is one third of $17.55