Answer:
70in^3
Step-by-step explanation:
Ok so the the formula for volume for a cube is V= L x W x H
so if the dimensions are 5in by 3in by 8in, the volume of the cube is 5x8x3 = 70 inches^3
Write the two equations for each problem and explain please, thank you
1. Victoria has a total of 65 dimes and quarters worth $10.70. How many of each type of coin does she have?
2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the
weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?
Answer:
1) Let D be the number of dimes and Q be the number of quarters. We can set up the following system of equations to represent the given information:
D + Q = 65
0.1D + 0.25Q = 10.70
The first equation represents the total number of coins Victoria has, and the second equation represents the total value of those coins in dollars. Solving this system of equations will give us the number of dimes and quarters Victoria has.
2) Let M be the number of hours Max spends mowing lawns and T be the number of hours he spends tutoring. We can set up the following system of equations to represent the given information:
M + T = 14
12M + 15T = 192
The first equation represents the total number of hours Max worked over the weekend, and the second equation represents the total amount of money he made during that time. Solving this system of equations will give us the number of hours Max spent on each job.
Is 4,582 less than 4,862?
Answer:
yes it's smaller
James bought a new sweatshirt from Foot Locker for $39.98 with tax of 7% that was added at the register. James gave the cashier $45.00, how much change should he receive?
Answer: 2.2214
Step-by-step explanation:
0.07 x 39.98 = 2.7986 (is tax)
2.7986 + 39.98 = 42.7786
45.00 - 42.7786 = 2.2214
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number
the solution set of this problem?
O (-00,-21)
O (-00,-21]
O [-21, +00)
O (21, +00)
Answer:
Answer: Choice B.
Step-by-step explanation:
5(x + 27) >= 6(x + 26)
5x + 135 >= 6x + 156
-x >= 21
x <= -21
Abby is making tie dyed T-shirts for her class field trip each shirt costs 3.95. the dye costed 0.50 then she bought two boxes of salt to mix for 4.50 each. If she had 124.70 how many shirts can she make?
Answer:
3.95 + 0.50 + 4.50 × 2 = 13.45
13.45 × x = 124.70
x = 9
Therefore, she can make 9 shirts.
Here are 10 numbers. 3 7 2 4 7 5 7 1 8 8 what is the median
Answer: 7
Step-by-step explanation:
234577788
^
the number in the middle is 7
Using the graph, predict how many people will be needed to eat 300 pounds of meal?
Answer:
100 people
Step-by-step explanation:
if u notice the points are (2,6) and (6,18). 6÷2=3 and 18÷6=3, so if you catch this pattern than you can do 300÷3=100
Question 2
If a = -3,6= 4 and c= -5, then by how much is the product abc greater than the sum a + b + c?
The ratio of yellow houses to white houses on a street is 18 to 26.
Simplify the ratio.
Enter your answer by filling in the boxes.
to
Answer: The ratio 18:26 simplified is 9:13.
Step-by-step explanation:
To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.
The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13
Answer:9/13
explanation: k12
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (-x - 2) (-2x - 3)
lesser x =
greater x =
PLEASE I NEED HELPPPP
Answer:
lesser x= -2
greater x= -3/2 or -1.5
Step-by-step explanation:
f(x)=(-x-2)(-2x-3)
-x-2=0
+2 +2
-x=2
-1 -1
x=-2
-2x-3=0
+3 +3
-2x=3
-2 -2
x=-3/2
The zeros of the function are x = -2 and x = -1.5.
The lesser value of x is -2, and the greater value of x is -1.5.
What are the zeros of the function?A function's zeros, also known as roots or solutions in mathematics, are the values of the independent variable (typically represented as x) for which the function evaluates to zero. In other terms, a function's zeros are the x-values that make the function equal to zero.
To find the zeros of the function f(x) = (-x - 2) (-2x - 3), we set the function equal to zero and solve for x:
(-x - 2) (-2x - 3) = 0
To find the zeros, we need to consider each factor separately and set them equal to zero:
First factor: -x - 2 = 0
Solving for x, we add 2 to both sides:
-x = 2
Multiplying both sides by -1 to isolate x:
x = -2
Second factor: -2x - 3 = 0
Solving for x, we add 3 to both sides:
-2x = 3
Dividing both sides by -2 to isolate x:
x = -3/2 or -1.5
So, the zeros of the function are x = -2 and x = -1.5.
Therefore, the lesser value of x is -2, and the greater value of x is -1.5.
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The manager of a theatre recorded the number of people that brought tickets for each movie. What is the probability that next person in line will purchase a ticket to see movie #2
how many movies were there?
If AD = 18 units and AC = 30 units, what is the measure of CD?
Answer:
24.
Step-by-step explanation:
Because AD is equal to 18 that means that both parts together equal 18 divide 18 by 2, and you get 9. Same thing for AC and this time you get 15. Add them together and you get 24.
Find the LCM X^2+X,X^2‐1,X^2‐X
The LCM is
( x − 1 ) ( x + 2) ( x + 3)
Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.
(True or false)
Please help me
Answer:
False
Step-by-step explanation:
The slope in the graph is not negative.
The correct equation for the graph would be [tex]y = \frac{3}{2} x+3[/tex]
You and a friend went to Taco Bell for lunch.
You ordered 3 soft tacos and 3 burritos for
$11.25. Your friend ordered 4 soft tacos and
2 burritos for $10. How much do soft tacos cost?
How much do burritos cost
Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today no one ever answers it
What is the exact value of sin (7π/12)?
Answer:
0.9659
Step-by-step explanation:
sin 7π/12 = sin 105° = 0.9659
Answer:
The correct answer is sqr root of 6 + sqr root of 2 over/ 4. =)
Step-by-step explanation:
Physical Fitness Dino works out regularly. When he first started exercising, he
could do 10 push-ups. After the first month he could do 14 push-ups. After the
second month he could do 19, and after the third month he could do 25. Predict
the number of push-ups Dino will be able to do after the fifth month of
working out. How confident are you of your prediction? Explain.
Answer:
he will do 34 the next month
A dairy farmer milks his two cows every day. He determined the chance that he gets anywhere between 12 and 14 gallons of milk in one day is around 32%. Identify the method of probability the farmer used to reach this conclusion.
Answer:
Relative frequency
Step-by-step explanation:
Re
What’s does 1.56x-7.8 equal
Answer:-12.168
Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8
Answer: x=5
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable (x)
Rewrite the following phrase as a mathematical expression.
the sum of four times a number and five
4(5n)
4 + 5
4 + 5n
4n + 5
The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as
the cylinder?
O 3(40) ft
O
1
40
O (40) At
o 3 (402)
Answer:
Option (3)
Step-by-step explanation:
Volume of the cylinder = 40 ft³
Since, volume of a cylinder is given by the expression,
V = [tex]\pi r^{2}h[/tex]
Here, r = radius of the circular base
h = Height of the cylinder
40 = [tex]\pi r^{2}h[/tex]
[tex]h=\frac{40}{\pi r^2}[/tex] ------(1)
Volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]
By substituting the value of 'h' from equation (1)
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )[/tex]
= [tex]\frac{1}{3}(40)[/tex] ft³
Therefore, Option (3) will be the correct option.
Suppose a researcher compiled a data set of the following variables fora sample of 100 retired men
Answer:
The researcher compiled a data set consisting of variables such as age, income, and marital status for a sample of 100 retired men
Step-by-step explanation:
A discrete variable is a type of variable that can only take on specific, distinct values that can be counted. Examples of discrete variables include the number of countries visited, shoe size, and number of pets living in a household.
On the other hand, a continuous variable is a type of variable that can take on any value within a certain range through measurement. Examples of continuous variables include pounds of chocolate consumed in the past and height in inches.
Please help me with this question
Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.
Trigonometry is what?The study of relationships among triangle angles and angles is known as trigonometry. Mathematical modeling is a fundamental idea in all of geometry because it can be used to reduce any straight-sided form to a collection of triangles. Amazingly complex connections exist between trigonometry and other areas of mathematics, particularly mathematics, real or complicated, infinite series, logarithms, and infinite series.
Here,
Given : Cosx = 9/26 (First quadrant)
To find : Cos2x
We use the formula:
=>Cos2x = 2Cos²x -1
=> Cos2x = 2(9/26)² - 1
=> Cos 2x = -0.760355
Therefore , the solution of the given problem of trigonometry comes out to be Cos 2x = -0.760355.
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The difference between the largest and smallest number in a given set of data
A) Mean
B) Median
C) Mode
D) Range
I'll give brainliestttt
Which property is illustrated by the statement below? 4(3+2)=4(3)+4(2)
Distributive property is illustrated by the statement given as 4[3+2]=4[3]+4[2]
What is distributive property?The distributive property is defined as an expression of the form A(B + C). This property is known by distributive law and applies to subtraction also. This can be solved by a multiplication over addition operation that is written as:
A(B + C) = AB + AC
Distributive property is the sum of two numbers times a third number is equal to the sum of each add end times the third number.
Since the general rule is that:
a(b + c) = ab + ac
Then, 4[3+2]=4[3]+4[2]
Therefore, the given statement elaborates the Distributive property.
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$1,800 principal earning 5%, compounded annually, after 9 years
Answer:
$2792.39
Step-by-step explanation:
→ Work out interest rate
( 100 + 5 ) ÷ 100 = 1.05
→ Multiply the amount by the interest rate to the power of 9
1800 × ( 1.05 )⁹ = 2792.39
a funeral
(since the element in the domain is repeated.
1) {(-1, 8), (0, 15), (1,-4), (2, 0)} 2) {(-5,2), (5,2), (0, -3), (3,-8)} 3) {(-2, 7), (6, 2), (-2,-3), (0, 9)}
it is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2), (4, -9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
Practice: Determining if a Relation is a Function the Siven
6) {(1,-4), (2,-4), (3,-4), (4-4)}
2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.
3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.
4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.
5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.
6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one and many-to-one.
But a function can not be one to many means the same value of x can not lead to different values of y.
2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.
3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.
4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.
5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.
6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.
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HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the lowest ratio since 0.7 < 0.625
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of hits compared to total attempts is their batting average
Each player on the team wants to have the highest batting average to help their team the most.
Jana has hit the ball 7 times out of 10 attempts.
Average is 7/10=0.7
Tasha has hit the ball 10 times out of 16 attempts.
Tasha Average is 10/16=0.625
We need to find the player who has better batting average
Tasha, because she has the lowest ratio since 0.7 < 0.625
Hence, Tasha, because she has the lowest ratio since 0.7 < 0.625
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Select all the correct answers. What are the solutions of this equation? x2-x-56=0
The roots of the quadratic equation x² - x - 56 = 0 is x = -7 or x = 8
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - x - 56 = 0 be equation (1)
On simplifying the equation , we get
x² - 8x + 7x - 56 = 0
Taking the common terms in the equation , we get
x ( x - 8 ) + 7 ( x - 8 ) = 0
Now , on factorizing the equation , we get
( x + 7 ) ( x - 8 ) = 0
We have two factors which can solve the equation ,
when ( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
And , when ( x - 8 ) = 0
Adding 8 on both sides of the equation , we get
x = 8
Therefore , the roots of the equation are x = -7 and x = 8
Hence , the quadratic equation is solved
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Answer:
x = 8
x = -7
Step-by-step explanation:
To find the solutions of the quadratic equation x^2 - x - 56 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = -56. Plug these values into the formula and calculate the discriminant (the value inside the square root):
Discriminant (D) = b^2 - 4ac = (-1)^2 - 4(1)(-56) = 1 + 224 = 225
Now, calculate the two possible solutions:
x1 = (-(-1) + √225) / (2(1)) = (1 + 15) / 2 = 16 / 2 = 8
x2 = (-(-1) - √225) / (2(1)) = (1 - 15) / 2 = -14 / 2 = -7
So, the correct solutions to the equation x^2 - x - 56 = 0 are:
x = 8 (x = 0 is not a solution)
x = -7