You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.
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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Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.
Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
What are Similar Triangles?If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.
Thus:
BC/EF = AC/DF
Substitute8/2x = 3/5
Cross multiply40 = 6x
Divide both sides by 6x = 6⅔.
In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
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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
~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?
The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72
What is the initial value of y=-2x-5
This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:
y = - 2 x -5
y = - 2 (0) – 5
y = -5 (ANSWER)
Final answer:
The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.
Explanation:
The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.
A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)
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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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.
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
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.
The length of of a rectangle is 10mm and the width is 2.5mm, what is the area
Applicant 2 2/3 pages in five minutes how many pages per hour
A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.
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?
what is the median of 2, 20, 19, 15, 11, 9, 7, 1
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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Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°
no, the 3 angles of a triangle need to equal 180 degrees
70 +70 +50 = 190 degrees so it cant be a triangle.
Find the circumference of the following circle. (Use 3.14 for π.)
15.7 in.
78.5 in.
19.63 in.
31.4 in.
The circumference of the circle is 15.7 inches.
What is circumference?Circumference can be defined as the total distance around a circle.
To calculate the circumference of the circle, we use the formula below.
Formula:
P = πd............... Equation 1Where:
P = Circumference of the circled = Diameter of the circleπ = pie.From the question,
Given:
d = 5 inchesπ = 3.14Substitute these values into equation 1
P = 3.14×5P = 15.7 inches.Hence, The circumference of the circle is 15.7 inches.
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one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?
2x+3y=-5
3x-5y=21
The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution
f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?
Answer:
It's 8
Step-by-step explanation:
Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)
Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3
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
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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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:
I know
"EXPLAIN PLEASE" Which equation does the graph below represent
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
An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?
Rectangle ABCD is shown above. Find the midpoint of diagonal AC. (Please Help Me Find The Answer)
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?