Andy is scuba diving.He starts at sea level and then descends 10 feet in 2 1/2 minutes.
a. how would you represent Andy's descend as a unit rate? Express your answer as an integer.
b. How much feet can he descend in 6 minutes?
In march 1989 the exxon valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of alaska. one barrel of petroleum is equal to 42 gal. how many liters of petroleum were spilled?
13(21−3a)=6−a
no solution
−1
0
all real numbers
Answer:
No solution hope this helps:)
Step-by-step explanation:
hello i was trying to get the understanding on how is 4-6+6=4,,,,,,,my answer (4-6=2+6=8) but me being in high school i know its not that easy.... So someone please break it down please???
Which algebraic expression has no like terms?a.-x+4y-6x+9 B.-4x+y+4y C.-3xy-8+xy+y^2 D.-x+7+3xy-4y
Answer:D
Step-by-step explanation:
please round to the nearest tenth if possible.
Toss a fair coin 10 times what is the probability of getting 7 heads
What is the simplified form of the following expression? (y8)(y2) y10 y6 y16 y64
The simplified form of the expression (y^8)(y^2) is y^10, found by applying the laws of exponents that dictate adding the exponents when multiplying with the same base.
Explanation:The simplified form of the expression (y8)(y2) can be found using the laws of exponents which state that when multiplying two powers with the same base, you add the exponents. Here, since the base is y, and we have exponents 8 and 2, we add them together:
y8 × y2 = y8+2
This simplifies to y10, which is the compressed form of the given expression.
Final answer:
To simplify the expression (y⁸)(y²), use the rule of exponents which says that you add the exponents when multiplying powers with the same base, resulting in y¹⁰.
Explanation:
The question requires simplifying an algebraic expression with exponents. The given expression is (y⁸)(y²). To simplify this, we use the rule of exponents which states that when multiplying two powers with the same base, you add the exponents. Therefore, y⁸ × y² = y⁸₊²} = y¹⁰
What is the solution to the equation 5(x - 3) + 7 = 5x - 8?
A.-8
B.0
C.All real numbers
D.No solution
A copy machine makes 44 copies per minute. how long does it take to make 154 copies?
Final answer:
It takes 3.5 minutes for a copy machine to make 154 copies at a rate of 44 copies per minute.
Explanation:
To find out how long it takes for a copy machine to make 154 copies at a rate of 44 copies per minute, we need to perform a division calculation. First, we divide the total number of copies needed (154 copies) by the rate at which the machine produces copies, which is 44 copies per minute.
The calculation is as follows:
154 copies ÷ 44 copies per minute = 3.5 minutes.
This means it would take the copy machine 3.5 minutes to produce 154 copies.
Which of the following best defines the two quantities that are measured to find the call rate of a phone company? The quantity of price measured in dollars depends on the quantity of time measured in minutes. The quantity of time measured in minutes depends on the quantity of price measured in dollars. The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute. The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.
Answer:
A. the quantity of price measured in dollars depends on the quantity of time measured in minutes.
Step-by-step explanation:
The following best defines the two quantities that are measured to find the call rate of a phone company:
A. the quantity of price measured in dollars depends on the quantity of time measured in minutes.
In this way we can determine that how much money will it cost in dollars for each minute of phone call.
jennifer earns $39 for 6 hours of babysitting.how much will she earn for 10 hours
Suppose the measure of an angle is 67 degrees what is the measure of its complementary angle
I need help with the functions and graphing
If 3 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. what is the number?
The unknown number(n) is equal to - 2 satisfying asked statement.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the unknown number be 'n'.
Given, If 3 is added to twice a number,
and this sum is multiplied by 2,
the result is the same as if the number is multiplied by 3
and 4 is added to the product.
∴ (2n + 3)×2 = n×3 + 4.
4n + 6 = 3n + 4.
4n - 3n = 4 - 6.
n = - 2.
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What is 1/12 (12-v)=1/6(v-6)
Write -38.375 as a mixed number in simplest form.
What is the square root of 112 simplified?
Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less than 35. Let x represent Andy's age.
Final answer:
To represent the relationship between Matt and Andy's ages mathematically, let x be Andy's age, and express Matt's age as 2x + 5. The inequality x + (2x + 5) < 35 simplifies to x < 10, indicating Andy's age must be less than 10.
Explanation:
The question involves creating an inequality to represent the relationship between Matt and Andy's ages, where Matt is five years older than twice Andy's age, and the sum of their ages is less than 35.
Let x represent Andy's age. The formula for Matt's age would be 2x + 5. To find the range of possible values for Andy's age, you would write the inequality x + (2x + 5) < 35.
Solving this inequality involves combining like terms and isolating the variable x.
Step 1: Combine like terms.
x + 2x + 5 < 35
Step 2: Simplify the inequality.
3x + 5 < 35
Step 3: Subtract 5 from both sides to isolate the term with x.
3x < 30
Step 4: Divide both sides by 3 to solve for x.
x < 10
This tells us that Andy's age must be less than 10 for the conditions to be met.
A(n) _______________ force can cause an object to change its speed and/or direction.
Please help with this! Thanks!
B: measure of BCD=45; acute
C: measure of BCD=90; right
D: measure of BCD=42; acute
E: measure of BCD=17; acute
3x-6 = 2x+11
3x = 2x+17
x = 17
3(17)-6 = 45
2(17)+11 = 45
45+45 = 90
answer is C 90 degrees:right
express 3.01 as a mixed number
Answer:
3 1/100
hope this is helpful!
Two complementary angles are expressed as 4x - 16 and 2x 10. find the number of degrees in each angle.
Two complementary angles are given as 4x - 16 and 2x + 10. Solving for x we find x = 16. Substituting x into the expressions for the angles, we find the angles to be 48 and 42 degrees.
Explanation:The task here is to find the value of two angles that are complementary. Given the expressions for the angles are 4x - 16 and 2x + 10. As complementary angles, they sum up to 90 degrees. Hence, mathematically, we can express this as (4x - 16) + (2x + 10) = 90.
Solving the equation, combine like terms to get 6x - 6 = 90. Then, add 6 to both sides to get 6x = 96. Divide each side by 6 to find x, hence x = 16.
Substitute x = 16 into 4x - 16, therefore the first angle is 4×16 - 16 = 48 degrees. Similarly, substitute x = 16 into 2x + 10, hence the second angle is 2×16 + 10 = 42 degrees. The angles are thus 48 and 42 degrees, which adds up to 90).
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what is the light from a lazer pointer a point, line, line segment, ray or plane?
A rectangle has a length of 6cm by 8cm. Which is the length of a diagonal of the rectangle?
A.10cm
B.14cm
C.24cm
D.28cm
E.48cm
Answer:
Your answer would be A 10cm
The area of a rectangle is 440 square inches. The length of the rectangle is 29 inches more than its width. What is the length of the rectangle?
the length of the rectangle is either -11 inches or 40 inches.
Let the length of the rectangle be L.Let the width of the rectangle be W.Given the following data;
Area of rectangle = 440 square inchesTranslating the word problem into an algebraic equation, we have;
[tex]L = W + 29[/tex]
To find the length of the rectangle;
Mathematically, the area of a rectangle is given by the formula;
[tex]Area = L * W[/tex]
Substituting the values into the formula, we have;
[tex]440 = (W + 29) * W\\\\440 = W^{2} + 29W[/tex]
Rearranging the equation, we have;
[tex]W^{2} + 29W - 440 = 0[/tex]
W e would solve the quadratic equation by factorization;
[tex]W^{2} + 40W - 11W - 440 = 0\\\\W(W + 40) - 11(W + 40)\\\\(W + 40)(W- 11)[/tex]
Width, W = -40 0r 11 inches.
Next, we would find the length of the rectangle;
When Width, W = -40;
[tex]L = W + 29[/tex]
[tex]L = -40 + 29[/tex]
Length, L = -11 inches
When Width, W = 11;
[tex]L = W + 29[/tex]
[tex]L = 11 + 29[/tex]
Length, L = 40 inches
Therefore, the length of the rectangle is either -11 inches or 40 inches.
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jackson wants to divide 3\4 pound box of trail mix into small bags each of the bags will hold 1/12 pound of trail mix how many bags of trail mix can jackson fill
What value of c makes the statement true? -2x3(cx3 + x2) = -10x6 - 2x5
Answer: The required value of c that makes the given statement true is 5.
Step-by-step explanation: We are given to find the value of c that makes the following statement TRUE :
[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of c, we need to equate the coefficients of the same powers of the unknown variable x.
From equation (i), we have
[tex]-2x^3(cx^3+x^2)=-10x^6-2x^5\\\\\Rightarrow -2cx^{3+3}-2x^{3+2}=-10x^6-2x^5\\\\\Rightarrow -2cx^6-2x^5=-10x^6-2x^5.[/tex]
Equating the coefficients of [tex]x^6[/tex] on both sides of the above equation, we get
[tex]-2c=-10\\\\\Rightarrow c=\dfrac{-10}{-2}\\\\\Rightarrow c=5.[/tex]
Thus, the required value of c that makes the given statement true is 5.
the greatest common factor of 162, 378, and 414
Find the middle term of ([tex]( x^{2}+2) ^{20}
[/tex]