Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.
What is the missing step of her solution?
Add 10.4 to both sides.
Add negative 10.4 to both sides.
Multiply both sides of the equation by 10.4.
Divide both sides of the equation by 10.4.
Mark this and return
Answer: Last Option is correct.
Step-by-step explanation:
Since we have given that
[tex]2.3 + 8(1.3x-4.75) = 629.9[/tex]
We need to solve the above equation,
[tex]2.3 + 8(1.3x-4.75) = 629.9\\\\2.3+10.4x-38=629.9\\\\-35.7+10.4x=629.9\\\\10.4x=629.9+35.7\\\\10.4x=665.6\\\\\text{ Dividing 10.4 on both sides}\\\\x=\frac{665.6}{10.4}\\\\x=64[/tex]
Hence, Divide both sides of the equation by 10.4.
Therefore, Last Option is correct.
Answer:
D
Step-by-step explanation:
The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x
How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer
15x+1= y solve for x ...?
15x + 1=y subtract 1 from both sides
15x=y-1 divide both sides by 15
x=(y-1)/15
jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent for his party. answer must be written on a number line
Answer:
Jack can rent a maximum of 6 DVD's
Step-by-step explanation:
If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year? simple interest = P × r × t Select one of the options below as your answer: A. $10.50 B. $30.25 C. $105
Answer:
The option A. $10.50 is correct
Step-by-step explanation:
Principal = $350
Rate = 3%
⇒ Rate = 0.03
Time = 1 year
Now, Simple Interest is given by the formula : Principal × Rate × Time
Therefore, Simple Interest = 350 × 0.03 × 1
⇒ Simple Interest = $10.50
Hence, The option A. $10.50 is correct
What is the answer to 0.1 * n = 89.9 ?
If x=4, then 5x=20 select the property
The property being used when substituting x=4 into the expression 5x to get 5*4=20 is the Substitution Property.
Explanation:When given the statement If x=4, then 5x=20, we are looking at a basic arithmetic operation, specifically multiplication. The property illustrated here is known as the Identity Property of Multiplication, which states that multiplying any number by 1 gives the number itself. However, in the context of this problem, the property being used is actually the Substitution Property, where the value of a variable (x=4) is substituted into an expression (5x) to find its value (5*4=20).
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Larry Klaus withdrew $310.80 simple interest from an account after 4 years. If he invested $1,110.00, how much was his rate of interest?
7%
6%
4%
5%
Answer:
7% is the answer (hope this helps) or do you need explanations?
Step-by-step explanation:
Find the inverse of f(x)=2x^2+5
Charlie was carrying around the steps to solve Square root of 6x plus 4 = 8. On his way through the Math Factory, Charlie dropped them and they mixed with other steps. Put the correct steps in order to solve Square root of 6x plus 4 = 8.
A. Divide by 2 from both sidesB. Square root both sidesC. Divide by 6 from both sides
D. Subtract 4 from both sidesE. Subtract 8 from both sidesF. Square both sides
Answer:
First F, then D, then C
When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.
A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem
C. The alternative form of the law of cosines
When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.
Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or b² = a² + c² − 2 bc cos B, or c² = a² +b ² − 2 bc cos CTherefore; when given all the sides or edges of the triangle;
we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;12 liters is about how many quarts
Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold 5/8 of her boxes.which girl has sold a greater fraction of her boxes of fruit?Draw a model and Explain
A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. find p(b/not
a.
Factor the expression.
t^2 - 14t + 49
5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee
Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.
Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.
Explanation:A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.
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In which quadrant is point (4,5) located
Does it matter if you add azero when you divide a dcimal.
Answer:
no it does not matter
Step-by-step explanation:
URGENT! PLEASE HELP MATH!
Which shows the conversion of 0.427 kg to pounds?
There are 2.2 pounds in 1 kilogram.
A.
0.427 kg × 2.2 lb/kg = 9.39 lb
B.
0.427 kg × 2.2 lb/kg = 0.939 lb
C.
0.427 kg + 2.2 lb/kg = 2.627 lb
D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb
(3a2 + 2a - 2) - (a2 - 3a + 7)
What is the result if you divide -12x8y8 by 3x4y2? ...?
Answer:
-4x⁴y⁶
Step-by-step explanation:
To divide -12x⁸y⁸ by 3x⁴y², we can apply the rules of division for exponents.
When dividing variables with the same base, we subtract the exponents:
x⁸ / x⁴ = x⁸-⁴ = x⁴
Similarly, y⁸ / y² = y⁸-² = y⁶
Now, let's divide the coefficients:
-12 / 3 = -4
Putting it all together, the result of dividing -12x⁸y⁸ by 3x⁴y² is:
-4x⁴y⁶
Which of the following are valid names for the triangle below? Check all that apply.
A. KE
B. KMD
C. DKM
D. SKMO
E. MDK
F. SKD
Answer:
KMD,MDK,DKM
Step-by-step explanation:
factor 6x^2+11x+4 ...?
The recursive formula An+1 = 2∙An number of people with a virus in a school each week. If there are 96 people infected with the virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?
being timed help
What is the common ratio for the geometric sequence?
43,4,12,36,...
Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?
Answer:
Worker 1: 46 parts
Worker 2: 40 parts
The slope of a line is -, and the y-intercept is . What is the equation of the line written in general form?
A) 10x + 3y - 1 = 0
B)x + 3y + 10 = 0
C) x + 3y - 10 = 0
which is a factored form of 216p^3 + 125q^3?
The factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]
To find the factored form of the expression [tex]\(216p^3 + 125q^3\)[/tex], we can use the sum of cubes formula:
[tex]\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \][/tex]
Where a = 6p and b = 5q.
Substituting these values into the formula, we get:
[tex]\[ 216p^3 + 125q^3 = (6p)^3 + (5q)^3 \][/tex]
[tex]\[ = (6p + 5q)((6p)^2 - (6p)(5q) + (5q)^2) \][/tex]
[tex]\[ = (6p + 5q)(36p^2 - 30pq + 25q^2) \][/tex]
Therefore, the factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]
Complete question:
What is the factored form of 216p³+125q³?