An equivalent statement to '4 is 80% of x' is 'x is 5'.
Explanation:The statement '4 is 80% of x' can be written as the equation 4 = 0.8x. To find an equivalent statement, we can solve this equation for x.
To solve for x, divide both sides of the equation by 0.8: x = 4 / 0.8 = 5.
Therefore, an equivalent statement is: x is 5.
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2x+3y=-5
3x-5y=21
The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution
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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The length of of a rectangle is 10mm and the width is 2.5mm, what is the area
A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)
32.1in.×28.2in.×1ft.=
since 2 of the 3 are in inches convert the 3rd one to inches
1 foot = 12 inches
now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches
two consecutive even integers have a sum of 346. Find the smailler of these two numbers
Answer:
Smallest number = 172
Step-by-step explanation:
Two consecutive even integers have a sum of 346.
Let x be the smallest number.
We have other number = x + 2
We also have
x + x + 2 = 346
2x + 2 = 346
2 x = 344
x = 172
Smallest number = 172, Other number = 172 + 2 = 174
Smallest number = 172
what is the median of 2, 20, 19, 15, 11, 9, 7, 1
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 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?
Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??
Thank you so much :)
graph the opposite of the number shown on each number line
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
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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gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?
A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?
1/4 of an hour
68 miles per hour
multiply 68 by 1/4 = 68/1 *1/4 = 68/4
divide 68 by 4
68/4 =17
it can swim 17 miles
An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?
4.35 / 5 show the work
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.
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
68.32 divided by 2.8
Answer:
24.4
Step-by-step explanation:
We are asked to divide 68.32 by 2.8.
First of all, we will write our given problem as a division problem.
[tex]\frac{68.32}{2.8}[/tex]
We can see that our numerator has two digits after decimal and denominator has one digit after decimal, so we will multiply numerator and denominator by 100 as:
[tex]\frac{68.32\times 100}{2.8\times 100}[/tex]
[tex]\frac{6832}{280}=24.4[/tex]
Therefore, the quotient of our given problem is 24.4.
24.4
Further explanationWe will determine the quotient of 68.32 against 2.8.
Notes:
The division process is the arithmetic operation of the distribution of equal parts of a number. The division is the opposite of the multiplication process.24.4 __
2.8 ) 6 8 . 3 2
- 6 7 . 2 [tex]\downarrow[/tex]
1 . 1 2
- 1 . 1 2
0
Please see the attached picture.
The terminology of the division operation associated with the above scheme is as follows:
[tex]\boxed{ \ 68.32 \rightarrow the \ dividend \ }[/tex][tex]\boxed{ \ 2.8 \rightarrow the \ divisor \ }[/tex][tex]\boxed{ \ 24.4 \rightarrow the \ quotient \ }[/tex] [tex]\boxed{ \ 0 \rightarrow the \ remainder \ }[/tex]Therefore, 68.32 divided by 2.8 is divisible because the remainder is zero.
Thus, the quotient of 68.32 divided by 2.8 is 24.4.
- - - - - - - - - -
Alternative Strategy
[tex]\boxed{ \ 68.32 = 56 + 12.32 \ }[/tex]
[tex]\boxed{ \ 68.32 \div 2.8 = (56 \div 2.8) + (12.32 \div 2.8) \ }[/tex]
[tex]\boxed{ \ 68.32 \div 2.8 = 20 + 4.4 \ }[/tex]
[tex]\boxed{\boxed{ \ 68.32 : 2.8 = 24.4 \ }}[/tex]
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17.16 is 62.4%of what
divide
17.16/0.624 = 27.5
"EXPLAIN PLEASE" Which equation does the graph below represent
~~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?
if structural steel installed in 2.75 floors of a building 2 3/8 day , how long will it take to install steel in 11 floors
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?
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?
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
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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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.