A store has two brands of pencils on sale for the day. Brand A comes in packs of 4 and Brand B comes in packs of 10. If an equal number of each brand sold, what is the minimum number of each sold.
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A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a heart? a:15% b:25% c:27% d:35% Outcome Club Diamond Heart Spade Number of trials 8 12 14 6
Two congruent triangles fit together to form a parallelogram with a base of 14 inches and a height of 10 inches. What is the area of each triangle?
Final answer:
The area of each triangle is 140 square inches.
Explanation:
The area of a triangle is given by the formula A = ½ × base × height.
In this case, the base of the parallelogram is 14 inches and the height is 10 inches.
Since two congruent triangles form the parallelogram, we can consider one of the triangles.
Let's call the base of the triangle 'b' and the height 'h'.
We have the equation A = ½ × b × h = 14 × 10 = 140 square inches.
Therefore, the area of each triangle is 140 square inches.
Question number 7 please
For f(x)=3x-1 find the average rate of change on the interval [0,3]
Mentone, Indiana claims to have the wor d's largest egg sculpture. A 5 foot tall person standing next to the egg sculpture casts a shadow that is 3 feet long. if the egg casts a shadow that is 6 feet long, how tall is the sculpture?
The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
Given :
Volume of rectangular prism [tex]= x^4+4x^3+3x^2+8x+4[/tex]
Base Area of a rectangular prism = [tex]x^3+3x^2+8[/tex]
[tex]\rm Volume = Base \;Area\times Height[/tex] ---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
[tex](x^4+4x^3+3x^2+8x+4) = (x^3+3x^2+8)\times h[/tex]
[tex]\dfrac{x^4+4x^3+3x^2+8x+4}{x^3+3x^2+8}=h[/tex]
[tex]h = \dfrac{((x+1)(x^3+3x^2+8)-4)}{(x^3+3x^2+8)}[/tex]
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
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What is the value of mc020-1.jpg?
40
77
4,096
9,317
Answer:
The answer is 77
just took the test ;)
The value of the function (f/g) (5) is 270.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x)=7+4x
g(x) = 1/2x
We need to find the value of f/g(5)
(f/g) (x) = f (x)/g(x)
(f/g) (5) = f (5) / g(5)
Now we will put the value of x = 5
f (5) = 7 + 4 (5) = 27
g (5) = 1 / (2)(5) = 1/10
(f/g) (5) = 27 / (1/10)
(f/g) (5) = 270
Hence, the value of the function (f/g) (5) is 270.
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The given question is not complete.
The question will be like this, the function f(x)=7+4x, g(x) = 1/2x then value of f/g(5)?
What is 6.877 rounded to the nearest whole number
Which shows a correct order to solve this story problem?
To make a fruit smoothie, Jason needs 2.4 ounces of blackberries, 1.6 ounces of apples, and 3.4 ounces of blueberries. Jason makes 5 smoothies.
How many ounces of fruit will Jason need altogether?
A.
Step 1: Add together the weights of the three fruits.
Step 2: Multiply the sum by 5.
B.
Step 1: Add the weights of the apples and the blueberries.
Step 2: Subtract the weight of the blackberries from that sum.
Step 3: Multiply the difference by 5.
C.
Step 1: Multiply the weight of the blackberries by 5.
Step 2: Add the weights of the apples and the blueberries to that product.
Step 3: Multiply the sum by 5.
D.
Step 1: Add together the weights of the three fruits.
Step 2: Divide the sum by 5.
If the dimensions of a square pyramid are measured in meters, then the surface area of the pyramid is measured in
meters
square meters
cubic meters
Answer:
If the measurments are in meters, then the surface area of the pyramid will be in square meters.
Step-by-step explanation:
Which is dependent and independent
Time spent jogging and distance traveled
The point P(-4, -5) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, P′?
-6x+6y=6
-6x+3y=-12
Solve using elimination
How would 5,682,850,003 be written in expanded form?
A. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 1
B. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 10
C. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 1,000 + 3 x 1
D. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 100 + 3 x 1
A group of seventh and eighth graders were asked whether they prefer reading fiction or nonfiction.
This table shows the relative frequencies of the rows for the two-way table representing this situation.
Select from the drop-down menus to complete the statement.
The percent of seventh graders surveyed who prefer fiction is ____ the percent of eighth graders surveyed who prefer fiction.
A. greater than
B. less than
C. equal to
Answer:
Option A. greater than
Step-by-step explanation:
The percent of seventh graders surveyed who preferred fiction = 0.75 or 75%
The percent of eight graders surveyed who preferred fiction = 0.68 or 68%
Now we can say the percentage of seventh graders who preferred fiction is GREATER THAN the percentage of eight graders who preferred fiction.
Therefore option A. is the correct option.
at a local animal shelter there are 12 small size dogs and 5 medium sized dogs everyday the small sized dogs are each given 12.5 oz of dry food and the medium sized dogs are each given 18 oz of the same dry food how many pounds of dry food does the shelter serve in one day
The shelter serves a total of 15 pounds of dry food per day, after calculating the food given to both small and medium-sized dogs and converting the total from ounces to pounds.
To calculate the total amount of dry food served at the shelter in one day, you must multiply the amount of food each dog consumes by the number of dogs of that size. Then, add the totals for each size category. Since the pound is the most suitable unit for this calculation, you need to convert the ounces of food into pounds. There are 16 ounces in one pound.
First, calculate the total food for small-sized dogs: 12 dogs × 12.5 oz each = 150 oz.Then, calculate the total food for medium-sized dogs: 5 dogs × 18 oz each = 90 oz.Combine the amounts: 150 oz + 90 oz = 240 oz of dry food total.Finally, convert ounces to pounds: 240 oz ÷ 16 oz per pound = 15 pounds of dry food.Therefore, the shelter serves a total of 15 pounds of dry food in one day.
$27.99 shoes ; 7 1/2 tax find the total cost or sale price to the nearest cent
Answer:
$The total cost or sale price = $30.09
Step-by-step explanation:
The total cost or sale price is the absolute price of a commodity including the given tax.
From the question given, the tax is [tex]7\frac{1}{2}[/tex]% of the price. So that;
Tax = [tex]7\frac{1}{2}[/tex]% × 27.99
= 0.075 × 27.99
= 2.09925
∴ Tax = $2.09925
The total cost or sale price = price + tax
= $27.99 + $2.09925
= $30.08925
The total cost or sale price = $30.09
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Please explain thoroughly.
The area of a circle is represented by the following expression, where r is the radius of the circle.
Find the approximate area of a circular pool cover with a radius of 12.5 meters. Use 3.14 for .
If billy has 3 lemons and josh has 2 lemons then how many more lemons does billy have
what is 5 13/12 simplified
The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 5 ¹³/₁₂
Convert the mixed fraction number into a fraction number. Then we have
⇒ 5 ¹³/₁₂
⇒ 5 + 13 / 12
⇒ (5 x 12 + 13) / 12
⇒ (60 + 13) / 12
⇒ 73 / 12
The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.
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1) Given the data 12, 39, 21, 18, 24, 17, 12, 25:
What is the outlier in the data?
What is the mean with the outlier?
What is the mean without the outlier?
A)12; 21; 18.4
B)12; 18.4; 21
C)39; 21; 18.4
D)39; 18.4; 21
Solve for a.
a+(−4)=−13
What is the answer?
a=−17
a=−9
a = 9
a = 17
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Matias stacked his cubes to make this rectangular prism. rectangular prism with grid lines How many cubes did Matias use?
https://static.k12.com/calms_media/media/1451000_1451500/1451333/1/fa05fd502d1273bf0751cb02832848aa1b938634/Math_Purple_140218_131628.jpg
Answer:
The answer is 112
Which graph has a y intercept of 2 and a slope of 1/2?
rectangles. Please help!
What is the mean for 43005,43007,43006,43005,43007