The solution of the given equation is x=12. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3+4x=51.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Subtract 3 from both sides, we get
4x=48
Divide both sides by 4, we get
x=12
Therefore, option C is the correct answer.
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Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2, ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54
Answer:
The answer is B
Step-by-step explanation:
The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio is,
⇒ 3
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Now,
Since, The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Hence, The common ratio = 2/3 ÷ 2/9
= 2/3 × 9/2
= 3
So, The next three terms are find as,
⇒ 2 × 3 = 6
⇒ 6 × 3 = 18
⇒ 18 × 3 = 54
Thus, The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio = 3
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An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?
Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3
In December, 2003, the average price for a gallon of regular gas in the United States was $1.50. (A) Gerald paid $12.60 for a tank of gas. How much did he pay?
Answer: He paid for 8.4 gallons.
Step-by-step explanation:
Since we have given that
Average price for a gallon of regular gas = $1.50
Amount paid for a tank of gas = $12.60
So, Number of gallons would be
[tex]\dfrac{\text{Total cost}}{\text{Average price}}\\\\\\=\dfrac{12.60}{1.50}\\\\\\=8.4\ gallons[/tex]
Hence, He paid for 8.4 gallons.
2x+3y=-5
3x-5y=21
The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution
A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
60/25 = 2.4
2.4 x 2 = 4.8 inches = 60 miles
25/2 = 12.5 for 1 inch
12.5/4 = 3.125 miles for 1/4 inch
A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The function f(s) relates the perimeter of a cardboard piece, in inches, to the length of its side in inches. Which of the following shows a reasonable domain for f(s)?
a 23 < s < 46
b 23 < s < 92
c s ≥ 92
d s ≥ 23
Answer: d. s ≥ 23
Step-by-step explanation:
Let s be the side of the square.
We know that the perimeter of a square =4s
Let f(s)=4s
If the cardboard should have a perimeter equal to at least 92 inches, the inequality would look like
[tex]4s\geq 92[/tex]
Divide both sides by 4, we get
[tex]s\geq\frac{92}{4}\\\Rightarrow\ s\geq23[/tex]
Thus, d. is the right answer. The reasonable domain of f(s) is [tex]s\geq23[/tex]
Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
Answer:
Option D.
Step-by-step explanation:
As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.
When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.
so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
Which of the following side lengths can form a triangle?
16 cm, 21 cm, and 47 cm
1 in, 2 in, and 3 in
34 mm, 75 mm, and 100 mm
8 ft, 24 ft, and 33 ft
Which step comes last when using the divide-center method to find the trend line on a scatterplot?
A Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.
B Connect the two centers to produce the trend line.
C Disregard all outliers.
D Draw a vertical line so that each side has the same number of data points.
Answer: its B
Step-by-step explanation:
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A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?
Applicant 2 2/3 pages in five minutes how many pages per hour
Which table represents the same linear relationship as the equation y = 3x +5?
Write the linear equation 5x-15y=-8 in slope-intercept form?
You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?
A bed & bath company intends to ship out 28,457 blue blankets, and three times as many white blankets. If each box contains 55 blankets of either color, how many full boxes of blankets can be packed, and how many blankets are left over for the last box?
28457 x 3 = 85371 white blankets
85371 + 28457 = 113,828 total blankets
113828/55 = 2069.6 total boxes
so 2069 full boxes
and 55*.6 = 33 left over blankets
Rectangle ABCD is shown above. Find the midpoint of diagonal AC. (Please Help Me Find The Answer)
write a story problem that can be solved using the equation: 18.50÷0.5=x
what is the median of 2, 20, 19, 15, 11, 9, 7, 1
NEED HELP FAST!!!!!
4.
How many solutions does the equation 5p – 4p – 8 = –2 + 3 have? (5 points)
One
Two
None
Infinitely many
the product of 7 and a nimber increased by 3 is equal to twice the number subtracted from 39
How to factor quadratic expressions in General
Final answer:
To factor quadratic expressions in general, we can use the AC Method, which involves breaking down the middle term and finding two numbers that multiply to give a certain product and add up to the coefficient of the middle term.
Explanation:
To factor quadratic expressions in general, we can use the method known as the AC Method. This method involves breaking down the middle term of the quadratic expression and finding two numbers that multiply to give a certain product (the product of the coefficient of the leading term and the constant term) and add up to the coefficient of the middle term. Once we find these two numbers, we can rewrite the quadratic expression as a product of two binomials.
For example, let's say we have the quadratic expression [tex]2x^2[/tex] + 5x + 3. The product of the leading coefficient (2) and the constant term (3) is 6. We need to find two numbers that multiply to 6 and add up to the coefficient of the middle term (5). The numbers 3 and 2 fit this criteria. Therefore, we can rewrite the quadratic expression as (2x + 3)(x + 1).
Note that if the quadratic expression cannot be factored using this method, it is considered a prime polynomial and cannot be factored further.
An item on sale costs 45% of the original price. The original price was $15.
The selling price of the item in the sale after the discount of 45% will be $8.25.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A thing on special expenses 45% of the first cost. The first cost was $15.
Let the selling price of the item in the sale be 'x'.
The amount of discount is given as,
⇒ 0.45 × $15
⇒ $6.75
The selling price of the item in the sale is calculated as,
x = $15 - $6.75
x = $8.25
The selling cost of the thing in the deal after the rebate of 45% will be $8.25.
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a rectangular prism is completely packed with 84 cubes of edge length 1 over 3 inch without any gap or overlap
The question involves finding the dimensions of a rectangular prism packed with 84 smaller cubes of a certain size. The answer requires understanding of volume and consideration of the physical characteristics of a rectangular prism.
Explanation:The problem presents a rectangular prism completely packed with 84 cubes of edge length 1 over 3 inch. To find the dimensions of the prism, we must first understand the volume. Given the volumes of the small cubes (edge length cubed), we can multiply this by the number of cubes (84) to find the total volume of the prism.
Next, we use this total volume to derive the possible dimensions of the rectangular prism. The dimensions should be factors of the total volume, keeping in mind the shape of a physical rectangular prism (which usually has length longer than width and height).
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Oliver earns $9 per hour. Write and solve equation to find how many hours he mustwork to earn in your equation. $315. to define the variable you use
Ariana has 2/3 quart of milk. She uses 3/4 of it in a cookie recipe. How much milk did Ariana use In her recipe?
"EXPLAIN PLEASE" Which equation does the graph below represent
the smaller of two numbers is 7/8 of the larger. Their sum is 30. Find the two numbers
The smith family bought a new tent for a camping trip with a base of 9 by 15 and a height of 7. What is the volume of their new tent?
The volume of the tent is 472.5 cubic units.
What is a triangular prism?'A triangular prism is a three-dimensional shape with two identical faces in the shape of a triangle connected by three rectangular faces.'
According to to the given problem,
Length = 15 units
Base = 9 units
Height = 7
Volume of the tent =( [tex]\frac{1}{2}*9*15*7[/tex] ) cubic units
= 472.5 cubic units.
Hence, we can conclude, the volume of the tent is 472.5 cubic units.
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A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour? A. twenty-five seconds over one-fourth mile = 36 miles per hour B. one-fourth mile over twenty-five seconds = 36 miles per hour C. one-fourth mile over twenty-five seconds = 100 miles per hour D. twenty-five seconds over one-fourth mile = 100 miles per hour
Answer:
At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour. A 25 seconds/ 1/4 mile = 36 miles per hour
Answer:
B) one-fourth mile over twenty-five seconds = 36 miles per hour