Answer:
y= 9 ( 5 dollars bill)
x=10 ( one dollar bill)
Step-by-step explanation:
let x be the one dollar bill and y the 5 dollar bill
x+y=19 ⇒ x=19-y
x+5y=55 ( solve by substitute x=19-y)
19-y+5y=55
4y=55-19
4y=36 ⇒ y=36/4
y= 9 ( 5 dollars bill)
x+y=19
x+9=19
x=19-9
x=10 ( one dollar bill)
check :
x+5y=55
10+5(9)=
10+45 = 55 dollars
Which expression is equivalent to the given expression after using the distributive property?
9(x + 3) + 15x
9 · x + 9 · 3 + 15x
9(x + 3 + 15)x
9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
Answer:
the answer is b 9 · x + 9 · 3 + 15x
The expression 9(x + 3) + 15x is equivalent to the given expression.
Given,
9(x + 3) + 15x = 9 · x + 9 · 3 + 15x
9(x + 3 + 15)x = 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
We need to find which expression is equivalent to the given expression after using the distributive property.
What is distributive property?We have the distributive property of multiplication over addition and subtraction.
Example:
- distributive property of multiplication over addition
= a x ( b + c )
= a x b + a x c
- distributive property of multiplication over addition and subtraction.
= a x ( b - c )
= a x b - a x c
Find the expression using the distributive property.
We have,
- 9(x + 3) + 15x
= 9 · x + 9 · 3 + 15x
This is equivalent to 9 · x + 9 · 3 + 15x
- 9(x + 3 + 15)x
= ( 9 · x + 9 · 3 + 9 · 15 ) x
= 9 . x . x + 9 . 3 . x + 9 . 15 . x
This is not equivalent to 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x
Thus the expression 9(x + 3) + 15x is equivalent to the given expression.
Learn more about application of the distributive property here:
https://brainly.com/question/225641
#SPJ2
Help!! Short and sweet question any help is appreciated!
Answer: 2nd option
Step-by-step explanation: Infinity and beyond
Point M is on line segment LN. Given LN = 2x - 5, MN= x - 1, and LM = 3, determine the numerical length of LN.
Answer: 9
Step-by-step explanation: 3 is one half of the line and x-1 is the other. 2x-5 is the whole line so 3+x-1=2x-5 is our equation. Solve for x and you get 7. Then replace x with 7 in 2x-5 and you will get an answer of 9.
The numerical length of LN is 7 units.
It is required to determine the numerical length of LN.
What is midpoint ?The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Given :
Point M is on line segment LN.
LM = 3
LN = 2x-5
MN = x-1
Use the Segment Addition Postulate:
L------------M--------------------------N
LM + MN = LN
3 + x-1 = 2x-5
2+5=2x-x
7=x
Hence, the numerical length of LN is 7 units.
Learn more about midpoint here:
https://brainly.com/question/17404643
#SPJ2
3x^2 - 4x = 2
I have to solve the equation using the quadratic formula then write the answer in simplest form
Despite my many efforts, it's still marked as wrong, and photomath didnt get it right, either.
Answer:
Step-by-step explanation:
3x^2 - 4x - 2 = 0
4/6 + (sqrt(16 - 4(3)(-2)))/6
2/3 + (sqrt(16+24))/6
2/3 + (sqrt(40))/6
2/3 + 2(sqrt(10)/6
2/3 + (sqrt(10))/3
Answer:
[tex]x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3} [/tex]Step-by-step explanation:
3x² - 4x - 2 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 3 , b = - 4 , c = - 2
So we have
[tex] x = \frac{ - - 4\pm \sqrt{( { - 4})^{2} - 4(3)( - 2)} }{2(3)} \\ x = \frac{4\pm \sqrt{16 + 24} }{6} \\ x = \frac{4\pm \sqrt{40} }{6} \\ x = \frac{4\pm2 \sqrt{10} }{6} \\ x = \frac{4}{6} \pm \frac{ 2\sqrt{10} }{6} \\ x = \frac{2}{3} \pm \frac{ \sqrt{10} }{3} \\ x = \frac{2\pm \sqrt{10} }{3} [/tex]We have the final answer as
[tex]x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3} [/tex]Hope this helps you
what is the remainder when 31,671 divided by 68
Answer:
51
Step-by-step explanation:
Step 1:
31,671/68 = 465.75
Step 2:
31671 - 31620 = 51
Answer:
51
Hope This Helps :)
Answer:
51
Step-by-step explanation:
The length of a rectangle is twice the width. The area of the rectangle is 96 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
Answer:
The estimate part is D or the square root of 48 and the rectangle is 13.8 units long and 6.9 units wide. Have Fun on Savvas Bro
Step-by-step explanation:
The required answer is,
Width of the rectangle = 6.325 units
Length of the rectangle = 12.65 units
Side length of the square the 6.325 units.
What is rectangle?A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
Now it is given that,
The length of a rectangle is twice the width. The area of the rectangle is 96 square units.
The area of the rectangle = Length × Width
Length = 2W
96 square units = 2W × W
96 = 2W²
W² = 96/2
W² = 48
W = √48
Width of the rectangle = 6.928203 units
Approximately = 6.928 units
Now,
Length = 2 × Width
= 2 × 6.928
= 13.86 units
• Now,we need to divide the rectangle into two squares with equal area, and estimate the side length of each square,
When we divide a rectangle into 2 squares,
The length is divided into two.
Hence, the length of the rectangle = 13.86 units
13.86 units ÷ 2 = 6.928 units.
Hence, the side length of the square the 6.928 units.
More about rectangle and square :
https://brainly.com/question/18559001
#SPJ2
Solve for (-7)-9-((-4)-1)
Answer:
The answer is negative 11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
(-7)-9-((-4)-1)
-16-(-4-1)=-11
-16-(-5)=-11
-16+5=-11
-11
Also you can use the app called Microsoft Math Solver, it helps alot. :)
- 9y2 (2y2 + 3y - 9)
Answer:
=−18y4−27y3+81y2
Step-by-step explanation:
− y 2 − 8 y + 21
Hope this helped!!!
A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses 17 , 15 , 5 , 8 , 20 , 20 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Answer:15 hours
Step-by-step explanation:
15+5=20
20+20=40
13+17=30
Add
90 hours
90÷6= 15
15 hours
Consider the diagram shown below.
А
B
m
С
D
Which of the following statements best describes the construction in the diagram?
O AB || CD.
O ABCD
0 C is the midpoint of m.
OD is the midpoint of m.
Answer:
The correct option is;
[tex]\overline{AB} \cong \overline{CD}[/tex]
Step-by-step explanation:
From the diagram, we have that the segment [tex]\overline {AB}[/tex] is given as the measured distance between the points A and B while the measured segment [tex]\overline {CD}[/tex] is constructed on the line m, starting from a point C and using a compass whose width is adjusted to the length of the segment [tex]\overline {AB}[/tex] and with the metal tip of the compass placed at C, to draw an arc the crossed the line m at a point which is then marked and labelled as then point D
Therefore the length of the segment [tex]\overline {AB}[/tex] is equal to the length of the segment [tex]\overline {CD}[/tex] and the relation is expressed as [tex]\overline{AB} \cong \overline{CD}[/tex].
Is the function in the graph non linear?
Yes - if it were linear it would have be a straight line.
Answer:
B (yes, bc it does not have a constant rate of change)
Step-by-step explanation:
37 = −3 + 5(x + 6) multi step equation step by step pls
Answer:
x = 2
Step-by-step explanation:
37 = -3 + 5(x+6)
37 + 3 = 5*x + 5*6
40 = 5x + 30
40 - 30 = 5x
10 = 5x
x = 10/5
x = 2
Check:
37 = -3 + 5(2+6)
37 = -3 + 5*8
37 = 40 - 3
10 POINTTSSS answer fast The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = a − m n = −m − a n=a+m
Answer:
n = m - a
Step-by-step explanation:
Given:
a = m − n
Where,
Actual cost of the item = a
Original price of the item = m
Amount of Coupon = n
Solve the formula for the amount of the coupon
Making n the subject
a = m − n
Subtract m from both sides
a - m = m - n - m
a - m = - n
Divide both sides by -1
(a - m) / -1 = -n / -1
- a + m = n
Can also be written as
n = m - a
What is the Answer to 3m+4n
Answer:
7mn
Step-by-step explanation:
3 + 4 is 7
m + n is mn
7mn
please help me. I need to Convert 4.57 hectograms to milligrams.
Answer:
457000
Step-by-step explanation:
You are multiplying hectograms by 100000 in order to convert it into milligrams
twice the sum of a number and 400. Translate the verbal expression into an algebraic expression plz
Answer:
(a+b) ^2=400
Step-by-step explanation:
Follow me for more answers If you like my way of solving
Solve for w.
-24= -8w
How long does it take my mom to walk 5 meters if she is travelling at a speed of 1 km/h. (Hint: to change metres to kilometres divide the metres by 1000)
Answer:
0.005 hours
Step-by-step explanation:
1km per hour = 1000m per hour
5 divide 1000
0.005 hours
Simplify to 0.3 minutes (x60) or seconds (x60 again) 18 seconds
Hope this helps
6 Friends all use two dollars off coupon to buy them selves movie tickets they spend a total of $42 what is the price of one movie ticket without the coupon
Answer:
The answer is $7
Step-by-step explanation:
The answer is $7 because $42 divided by 6 = 7.
Answer:
The price of one movie ticket without a coupon would be $9.
Step-by-step explanation:
one movie ticket: x
$42 = 6(x- 2)
$42 = 6x- $12
Move the 12 to the other side.
42 = 6x - 12
+ 12 +12
____________
54 = 6x
Now divide 6 from both sides.
[tex]\frac{54}{6}[/tex] = [tex]\frac{6x}{6}[/tex]
9 = x
3p + 7 = -4(4 - 6p) + 2
p=1
Step-by-step explanation:
[tex]3p + 7 = - 4(4 - 6p) + 2 \\ 3p + 7 = - 16 + 24p + 2 \\ 3p - 24p = - 16 + 2 - 7 \\ - 21p = - 21[/tex]
[tex] \frac{ - 21p}{ - 21} = \frac{ - 21}{ - 21} \\ p = 1[/tex]
Answer:
p = 1
Step-by-step explanation:
Given
3p + 7 = - 4(4 - 6p) + 2 ← distribute and simplify right side
3p + 7 = - 16 + 24p + 2
3p + 7 = 24p - 14 ( subtract 3p from both sides )
7 = 21p - 14 ( add 14 to both sides )
21 = 21p ( divide both sides by 21 )
1 = p , that is p = 1
3x4y + 2xy - 7x + 9
The answer
x is greater than -9 and less than or equal to 4 use x only once in your inequality
Answer:
4≤x>-9
Step-by-step explanation:
Find the value of c and YZ if Y is between X and Z.
XY = 5.5. YZ = 2c. XZ = 8.9
Ć
YZ
IN
Answer:
c=3•6 between xy andxz is7•2
The path of a rotation is defined by a
Axis
Step-by-step explanation:
A rotation is a circular movement of an object around a center (or point) of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes . If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation around an external point, e.g. the planet Earth around the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole.
Write each expression using exponents x·x·x·x·y·y
Answer:
x^4*y^2
Step-by-step explanation:
Whenever you multiply a number by itself, add one to its power. X is actually x^1, but we don't write that. Keep on adding 1 to the power for every x you multiply together and do the same thing for y. You will get x^4*y^2 as the answer.
Answer:
x^4y^2
Step-by-step explanation:
because you have 4 x so you put x^4 and you have 2 y so you do y^2 which the answer is x^4y^2
How many millions are in a trillion?
10000 millions or 999 billion is 1 trillion
Use the drop-down menus to complete each equation so the statement about its solution is true. No Solutions 8x – 2 – 5x + 7 = x + One Solution 8x – 2 – 5x + 7 = x + Infinitely Many Solutions 8x – 2 – 5x + 7 = x +
No solution is 3x + 4
One solution is 2x + 4
Infinitely many solution is 3x + 5
Step-by-step explanation:
Choose the inequality that represents the following graph.
Answer:
The inequality that represents the second graph is: [tex]x\leq3[/tex]
Step-by-step explanation:
From the second number line, you can see that the circle is closed on positive 3 and the arrow is pointing left - the direction of negative numbers, so you know that the value of x must be less than or equal to 3. Thus, you can write the inequality: [tex]x\leq3[/tex] - X is less than or equal to 3
Hope this helps!
11. Tom is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a new fence post for the third vertex. The old posts are located at (- 5, 4) and (2, 6) , where the coordinates are given in feet. If he has 25 feet total of wire fencing available to close off the area , how much wire fencing will he have left, after he connects the two posts he has already placed ?
Answer:
18 Feet of fencing
Step-by-step explanation:
hope this helps
A cylinder has a volume of 120 cubic inches and a radius
of 6 inches. What is the height of the cylinder rounded to
the nearest inch?
Answer:
1 inch
Step-by-step explanation: