4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP
Answer:
d. 10a + 5bStep-by-step explanation:
5(a + a + b) = 5(2a + b)
use the distributive property:
a(b + c) = ab + ac
= 5 · 2a + 5 · b =10a + 5b
Answer:
\(\boxed{\sf{D. \quad 10a+5b}}\)
Step-by-step explanation:
Use a distributive property.
Distributive property:
\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)
⇒ 5(a+a+b)⇒ a+a=2a
Rewrite the problem down.
\(\Longrightarrow: \sf{5(2a+b)}\)
Multiply should be expanded.
⇒ 5*2a=10a
⇒ 5*b=5b
Rewrite the problem.
⇒ = 10a+5b
Therefore, the final answer is 10a+5b.I hope this helps you! Let me know if my answer is wrong or not.
4. A car is priced at $7200. The car dealer allows a customer to
pay a one-third deposit and 12 payments of $420 per month.
How much extra does it cost the customer?
Answer:
$240 extra
Step-by-step explanation:
1/3(7200) + 12(420) = 2400 + 5040 = 7440
7440 - 7200 = 240
The customer had to pay 1720 extra.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A car is priced at $7200.
If the deposit is one third = 7200/3
= 240
The amount after 12 payments will be
= 240 x 12
= 2880
total cost will be
= 2880 + 2400
= 5280
and, The customer had to pay extra amount
= 7200 - 5280
= 1720
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Billy grew 6 inches in 2 years.
What is his unit rate of growth in inches per year
Answer:
If Bill grows 6 Inc in 2 years than he grows 3 Inc every year... hope that helps :)
Step-by-step explanation:
Do you think school is good or bad why? (Use your own opinion) I just wanna see your guys opinions
Answer:
its good because it can help u with ur future it is bad because it is early in the morning and u go there tired
Step-by-step explanation:
Answer:
Good and bad
Step-by-step explanation:
Part of it is good since its actually getting me to my dream job. Bad because it causes a lot of stress (for me anyway).
help I did this before n teacher gave me a 0 on my whole assignment how salty
Explain how to factor when the leading coefficient is 1.
Question 1 options:
Find the factors of c that multiply to b.
Find the factors of c that add up to b.
Find the factors of b that add up to c.
Find the factors of b that multiply to c.
Answer:
find the factors of c that add up to b
Step-by-step explanation:
Assuming you mean how to factorize a quadratic in the form:
ax² + bx + c ?
So when a = 1
find two numbers that have a product of c and a sum of b
So the answer is "find the factors of c that add up to b"
Answer:
Find the factors of c that add up to b.
Step-by-step explanation:
For example, if you were factoring
x^2 + 12x + 35
a=1
b=12
c=35
In order to factor, we're looking for what multiplies to 35, and adds up to 12. What multiplies to 35 are the factors of 35. In this case its 5 and 7.
5 × 7 = 35
5 + 7 = 12
So you could factor
x^2 + 12x + 35
= (x + 5)(x + 7)
which of the following points is a solution to the system of inequalities shown graphed below?
1.(-3,1)
2.(-1,4)
3.(3,-2)
4.(-2,-4)
A can of soup has the shape of a cylinder.
The diameter of the base of the can is
3.4 inches, and the height of the can is
4.5 inches. What is the volume of the can
rounded to the nearest tenth of a cubic
inch?
Answer:
Step-by-step explanation:
Height h = 4.5 inches
Radius r = 3.4/2 = 1.7 inches
Area of base = πr² = 2.89π square inches
Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches
Answer:
The answer is 40.8
Step-by-step explanation:
The volume of a cone equals the area of a circle multiplied by the height
\(v = \pi \times {r}^{2} \times h \\ = 3.14 \times 1.7 \times 1.7 \times 4.5 \\ = 40.8\)
The mean SAT score in mathematics is 519. The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course want to carry out a hypothesis test to see if their claim has merit. State the null hypothesis and the alternative hypothesis that they would use. brainly
The alternative hypothesis that H1 : µ > 519
What is a hypothesis short answer?
A hypothesis is an assumption, an idea that is proposed for the sake of argument so that it can be tested to see if it might be true. In the scientific method, the hypothesis is constructed before any applicable research has been done, apart from a basic background review.Hypothesis Examples -
If I replace the battery in my car, then my car will get better gas mileage.If I eat more vegetables, then I will lose weight faster.If I add fertilizer to my garden, then my plants will grow faster.If I brush my teeth every day, then I will not develop cavities.The mean SAT score in mathematics = 519
\(H_{0}\) : µ = 519 or \(H_{0}\) : µ \(\leq\) 519
\(H_{1}\) : µ > 519
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Explain. What should the format of a problem be if using the Factoring Method? Can this method be applied for any quadratic problems? What are the limitations? Why do we make each factor equal to zero?
The factoring method is a technique used to solve quadratic equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. To use the factoring method, we need to find two numbers that multiply to give c and add to give b. We then use these two numbers to factor the quadratic expression into two binomials, set each binomial equal to zero, and solve for x.
The format of a problem that can be solved using the factoring method should be in the form of ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable. The quadratic expression should be factorable into two binomials.
The factoring method can be applied to any quadratic problem that is in the correct format and is factorable. However, not all quadratic equations can be factored. In cases where the quadratic expression cannot be factored, we need to use other methods such as the quadratic formula or completing the square.
The main limitation of the factoring method is that it only works for quadratic equations that can be factored into two binomials. If the quadratic equation cannot be factored or if it has complex roots, then the factoring method cannot be used to solve the problem.
We make each factor equal to zero because if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for x to find the roots of the quadratic equation.
If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using the table below.
The correct probability of outcome D, based on the given table, is 3/13.
To determine the probability of D, we need to look at the given probabilities for each outcome. According to the table, the probability of outcome A is 1/13, the probability of outcome B is also 1/13, and the probability of outcome C is 1/13. We are interested in finding the probability of outcome D.
Since the sum of probabilities for all possible outcomes must equal 1, we can subtract the probabilities of outcomes A, B, and C from 1 to find the probability of outcome D.
1 - (1/13 + 1/13 + 1/13) = 1 - 3/13 = 10/13.
However, none of the given options matches the calculated probability. Therefore, we can conclude that none of the provided options accurately represents the probability of outcome D.
In conclusion, the correct probability of outcome D, based on the given table, is 3/13.
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If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using the table below. outcome: A B C D Probability: 1/13 1/13 1/13 a. 10/13 b. 1/4 c. 1/13 d. 3/13
The total cost, C, of renting a van is $65 each day, d, the van is rented plus $.33 for
mile, m, the van is driven. What is the expression for C?
Answer:
.33m+65=C
Step-by-step explanation:
to solve the equation you will need to multipy .33 x the amount of miles drove after you get the answer for that you will need to add 65 then thats your final answer
A camera is able to capture 3/4 of a picture per second. How long will it take a camera to snap 6 pictures
i REALLY need answers, like if you see this PLEASE answer it
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2
3/4 - 1/8 how much is it? help me please
Answer:5/8
Step-by-step explanation:
\(\begin{gathered} \boxed{ \sf \frac{3}{4} - \frac{1}{8}} = \\ \\ \sf \frac{8 \div 4 \times 3 - 8 \div 8 \times 1}{8} = \\ \\ \sf\frac{6 - 1}{8} = \\ \\ \sf \boxed{ \sf\frac{5}{8}} \end{gathered}\)
Therefore, the result of this subtraction of fractions is five eighths.
How to subtract unlike fractions:
Heterogeneous fractions are fractions that have different denominators.
To subtract heterogeneous fractions we follow these steps:
We find the common denominator, which is the least common multiple of the denominators. We divide the common denominator by the other denominator and multiply by the numerator.We will write the above results as numerators with the subtraction sign between them.We subtract the numerators.We simplify the result if possible.The Alpha.multiple regression analysis: a) establishes a cause and effect relationship. b) does not produce measures of probable error. c) measures the change in one variable associated with the change in one other variable only. d) measures the change in one variable associated with the change in more than one other variable
The change in one variable related to the change in more than one other variable is measured using multiple regression analysis.
A statistical method known as multiple regression is used on datasets intended to show a link between a single response or dependent variable and a number of independent factors.
Even though linear regression is frequently employed, it can only be utilized with one independent variable and one dependent variable. Non-linear regression is not predicted by linear regression, which is also limited to the training dataset.
We employ multiple regression to account for the same restrictions. It focuses on removing one particular limitation, which is allowing for the analysis of multiple independent variables.
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17 Find the volume of the figure below. (1 Point) V = luh
Answer:
sorry I wish I could help but I'm stupid
If Tom has m marbles and Tim has three times as many, then
How many marbles does Tim have?
How many more marbles does Tim have than Tom?
How many marbles do they have together?
Answer:
3x, 2x, 4x
Step-by-step explanation:
Tom has x marbles
Tim has 3x marbles (3 times x)
tim has 2x more marbles than Tom (3x - x = 2x)
Together they have 4x marbles (3x + x = 4x)
Answer Hope it Helps!
Step-by-step explanation:
Tim has (3m) marbles
Tim has (3m-m) more marbles than Tom
Together they have (3m+m) marbles.
Simplify them please(a and b)
a. \(a^{3}\).
b. \(\frac{1}{2c^{6}}\).
Step-by-step explanation:Exercise "a".1. Write the expression.\(\frac{a^{4} }{a}\)
2. Subtract 1 from the exponent of both numerator and denominator.\(\frac{a^{4-1} }{a^{1-1} }=\\ \\\frac{a^{3} }{a^{0} }=\\\\ \frac{a^{3} }{1 }=\\ \\a^{3}\)
3. Final answer.\(a^{3}\)
----------------------------------------------------------------------------------------------------------
Exercise "b".1. Write the expression.\(\frac{2c^{-4} }{c^{2}}\)
2. Move the numerator down to the denominator by changing the sign of the exponent.\(\frac{1}{c^{2}*2c^{4} }\)
3. Multiply.\(\frac{1}{2c^{6}}\)
Model Summary Adjusted R Model R R Square Square 1 401 .161 .144 a. Predictors: (Constant), bullying Std. Error of the Estimate 5.215 a ANOVA df F Mean Square 255.105 Sig. .0045 1 9.380 Sum of Model Squares 1 Regression 255.105 Residual 1332.581 Total 1587.686 a. Dependent Variable: depression b. Predictors: (Constant), bullying 49 27.196 50 Coefficients a Standardized Coefficients Beta Unstandardized Coefficients Model B Std. Error 1 (Constant) 16.617 5.158 bullying .328 .107 a. Dependent Variable: depression Sig. .002 3.222 .401 3.063 .004
Therefore , the solution to the given problem of variable is "Is there a substantial association between bullying and depression?".
What is variable?A variable is a value that can be altered depending on the mathematical issue. Numerous mathematical expressions use the generic letters x, y, and z. Or to put it another way, a variable and equations is a symbol denoting a number whose value is unknown. Say that x +5 = 10. A variable is used here, "x."
Here,
To see if bullying and depression are significantly related.
Explained: To determine whether there is a meaningful link between the independent and dependent variables, simple linear regression analysis is utilized.
So the approach presented here is the most effective way to answer the research question, "Is there a substantial association between bullying and depression?".
Therefore , the solution to the given problem is "Is there a substantial association between bullying and depression?".
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A government starts off with a total debt of $5.5 billion. In year one, the government runs a deficit of $600 million. In year two, the government runs a deficit of $1.5 billion. In year three, the government runs a surplus of $400 million. What is the total debt of the government at the end of year three?
Assuming the government runs a deficit of $200 million in year three, what is the total debt of the government at the end of year three?
If a government runs a budget deficit of $5 billion dollars each year for ten years, then a surplus of $2 billion for five years, and then a balanced budget for another ten years, what is the government debt?
The total debt of the government at the end of year three is $7.2 billion.
How does the government's deficit and surplus impact the total debt by the end of year three?Starting with a total debt of $5.5 billion, the government's deficits of $600 million in year one and $1.5 billion in year two contribute to an increase in the debt. However, in year three, the government runs a surplus of $400 million, which helps reduce the debt.
Thus, the total debt at the end of year three is calculated by adding the initial debt and deficits, and subtracting the surplus. In this case, the total debt at the end of year three is $7.2 billion.
How does assuming a deficit of $200 million in year three affect the government's total debt at the end year three?Assuming the government runs a deficit of $200 million in year three, the calculation changes. With the initial debt of $5.5 billion, the deficits of $600 million in year one and $1.5 billion in year two, and the additional deficit of $200 million in year three, the total debt at the end of year three would be $7.8 billion. This demonstrates how the deficit amounts impact the overall debt accumulation.
If a government runs a budget deficit of $5 billion each year for ten years, resulting in a total deficit of $50 billion, followed by a surplus of $2 billion per year for five years, reducing the debt by $10 billion, and then maintaining a balanced budget for another ten years, the government debt would amount to $40 billion. The deficits over the initial ten years lead to a significant accumulation of debt, but the subsequent surpluses help mitigate the debt by reducing the deficit. Finally, the balanced budget in the later years ensures that there is no further increase in debt. Understanding the interplay between deficits, surpluses, and a balanced budget is crucial to grasp the long-term implications on government debt and fiscal stability.
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a = { x ∈ : x is even } c = { 3 , 5 , 9 , 12 , 15 , 16 } select the true statement. question 15 options: c−a={12,16} c−a={3,5,9,15} c−a={3,5,9,12,15} the set c−a is infinite.
The true statement is: c−a={3,5,9,15}.
Given sets a and c:
a = {x ∈ : x is even}
c = {3, 5, 9, 12, 15, 16}
To find c−a (the set difference between c and a), we need to subtract the elements of set a from set c.
Since set a consists of even numbers, and set c contains both even and odd numbers, the elements in set a will be subtracted from set c.
From the given sets, the common elements between c and a are 12 and 16. Thus, these elements will be removed from set c.
Therefore, c−a = {3, 5, 9, 15}. This is the set difference between c and a, which includes the elements that are in set c but not in set a.
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what is the explicit formula for arithmetic sequence calculator?
The explicit formula for an arithmetic sequence calculator is a_n = a_1 + (n-1)d.
The formula for an arithmetic sequence is:
a_n = a_1 + (n-1)d
where a_n is the value of the nth term in the sequence, a_1 is the value of the first term in the sequence, n is the position of the term you want to find, d is the common difference between consecutive terms in the sequence, To use this formula to find a specific term in the sequence, simply substitute the values of a_1, n, and d into the formula and evaluate.
For example, if you wanted to find the 10th term in an arithmetic sequence with a first term of 3 and a common difference of 4, you would use the formula
a_10 = 3 + (10-1)4
a_10 = 3 + 36
a_10 = 39
Therefore, the 10th term in this sequence is 39.
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WILL GIVE BRAINLIEST AND THANKS. find the value of x
Answer:
12
Step-by-step explanation:
20² - 16² = x²
400 - 256 = x
400 - 256 = 144
√144 = 12
A linear equation with one variable, x, can be solved to show that it has no solutions. Which of the following show that there are no solutions?
select all that apply.
a) x=1
b) x=x
c) 1=1
d) 1=3
e) x=3
f) 0=3
Answer:
a,d,e,f
Step-by-step explanation:
What is the slope of the line that contains the points (-3, -5/2) and (3,-8)? -11/4, -11/12, 11/4, 11/12
This means that for every unit increase in the x-coordinate, the y-coordinate decreases by 11/12 units.To find the slope of the line that contains the points (-3, -5/2) and (3, -8), we can use the formula for slope:
slope = (y₂ - y₁) / (x₂ - x₁)
Let's plug in the given coordinates into the formula:
slope = (-8 - (-5/2)) / (3 - (-3))
Simplifying the numerator and denominator:
slope = (-8 + 5/2) / (3 + 3)
To combine the fractions in the numerator, we need a common denominator:
slope = (-16/2 + 5/2) / 6
slope = (-11/2) / 6
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
slope = (-11/2) * (1/6)
Simplifying the multiplication:
slope = -11/12
Therefore, the slope of the line that contains the points (-3, -5/2) and (3, -8) is -11/12.
The negative sign indicates that the line is sloping downwards from left to right. The magnitude of the slope (11/12) represents the steepness of the line.
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ASAP!!! and no links please 25 points!!!!!
The radius of a can of soda is 0.75 inches. Find the area of the top of the can. Round to the nearest hundredth.
(Values only! No units!)
Answer:
2.36
Step-by-step explanation:
Multiply the radius (0.75) with the value of pi (3.14.....)
0.75 x pi = area
area = 2.35619449019
ROUNDED TO HUNDREDTHS = 2.36
hope this helps :)
6 apples to 2 mangoes
Answer:
6:2
Step-by-step explanation:
Answer:6:2 I hope this is helpful
Step-by-step explanation:
6 apples to 2 mangos is 6:2
Martiza's car has 16 gallons of gas in the tank. She uses 3/4 of the gas. How many gallons of gas does Martiza use?
Answer:
12
Step-by-step explanation:
4 x 4= 16 so 4 x 3=12 and 3/4 = 4 x 3
Select the correct answer.
What is 7^5 equal to?
A.
7 x 5
B. 5 x 5 x 5 x 5 x 5 x 5 x 5
C.
7 x 7 x 7 x 7x7
D. 5^7
Answer:
c
Step-by-step explanation:
7^5 means that there are 5 7s eg 2^4 would be 2×2×2×2