The lcm of 6 and 7 is 42.
The least common multiple of 6 and 7 is 42.
The least common multiple of 2 or more numbers, is the lowest multiple that all the numbers have in common. Here are the multiples of 6 and 7 up to 42, to show that 42 is the LCM.
6: 6, 12, 18, 24, 30, 36, 42.7: 7, 14, 21, 28, 35, 42.Thus making 42 the Least Common Multiple.
I hope this helps!
Find the product. (P+5)(p-2)
Answer:
p^2 + 3p - 10
Step-by-step explanation:
Use the so-called "foil" method of multiplication of binomials:
p^2 -2p + 5p - 10, or p^2 + 3p - 10
Given:-
... ( p+5 )( p-2 )
When we have an equation like,
( a + b ) ( a - c )
... a² + ba - bc - ac
We have,
( p+5 )( p-2 )
... p² - 2p + 5p - 10
... p² + 3p - 10 Is the answer.
Hope it helps!
Write and solve an equation.
9. In one baseball season, Peter hit twice the difference of home runs Alice hit and 6. Altogether, they hit 18 home runs. How many home runs did each player hit that season?
10. The perimeter of a pallalelogram is 72 meters. The width of the pallalelogram is 4 meters less than its lengh. Find the length and the width of the pallalelogram.
Final answer:
Alice hit 10 home runs and Peter hit 8 home runs that season. The width of the parallelogram is 16 meters and the length is 20 meters.
Explanation:
To solve this problem, we need to set up an equation. Let's say that Alice hit x home runs. Then, Peter hit twice the difference of home runs Alice hit and 6, or 2(x - 6). Together, they hit 18 home runs. Setting up the equation, we have x + 2(x - 6) = 18. Solving for x, we get 3x - 12 = 18, 3x = 30, and x = 10. So, Alice hit 10 home runs and Peter hit 2(10 - 6) = 8 home runs that season.
To find the length and width of a parallelogram, we need to use the information given in the problem. Let's say the width of the parallelogram is W. The length of the parallelogram is then 4 meters more than the width, or W + 4. The perimeter of a parallelogram is given by the formula 2(length + width), so we have 2(W + W + 4) = 72. Simplifying the equation, we get 4W + 8 = 72. Subtracting 8 from both sides, we get 4W = 64. Finally, dividing both sides by 4, we find that the width of the parallelogram is 16 meters and the length is 16 + 4 = 20 meters.
What expression is equivalent to 3/4-1/2? i know it equals 1/4 but what is an expression equivalent to 3/4-1/2?
An expression equal to 3/4 - 1/2 would be 6/8 - 2/4.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
The expression is given as
[tex]\dfrac{3}{4}-\dfrac{ 1}{2} = \dfrac{-1}{4}[/tex]
Also,
[tex]\dfrac{-1}{4}-\dfrac{ 1}{2} = \dfrac{3}{4}[/tex]
Any equation that equals 1/4 will work in this situation.
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A 32m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 34m.
Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Need help with dividing
1) 15/5 = 3 .
2) 27/3= 9
3)48/8 = 6
4) 84/7= 12
5)32/4= 8
6) 90/9 =10
7) 30/5= 6
8) 22/2 = 11
9) 60/12= 5
10) 21/3= 7
11) 44/11= 4
12) 54/6 = 9
13) 132/12 = 11
14) 70/ 10= 7
15) 99/9 = 11
HOPE THIS HELPS XD
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The ace telephone co. charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls. Sketch a graph of this equation for up to 100 minutes of calls
Simplify the following expression.
7d + 12 – 4d – 3
Hello!
[tex]7d + 12 -4d -3\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First this problem it should be the group like terms.
[tex]7d-4d+12-3[/tex]
Then you add similar elements.
[tex]7d-4d=3d[/tex]
[tex]3d+12-3[/tex]
You can also add or subtract by the numbers.
[tex]12-3=9[/tex]
[tex]=3d+9[/tex]
Answer⇒⇒⇒3d+9
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
we can solve this by first combining like terms: our like terms in this equation are d and plain numbers
so, this means that we can combine the d's with the d's and the plain numbers with the plain numbers
so,
7d + 12 - 4d - 3 = 0
3d+ 9 = 0
next, we have to get our plain numbers on one side of the equal sign, and our numbers with the d's on the other side of the equal sign: we do this by doing the opposite of what the number is doing on the side it is on, since the 9 is being subtracted from the left hand side, we will subtract it from both sides:
3d = -9
next, we want to get rid of the 3 next to the d
to do this, we would divide the 3 on both sides since it is being multiplied to the d on the left hand side:
d = -3
this is our final answer: d = -3
Find the value of x.
If 98 - 32 = 66,
then x = 66°
This is in integers.
Q: evaluate (+5)-(+9)-(-7)
can be simplified as 5-9+7=-4+7=3
Q: evaluate (+5)-(+9)-(-7
A: if you remember how to add integers correctly, your answer would have been 3
(i added a picture to help you a little bit more)
hope this helps! ❤ from peachimin
convert 1 1/3 to decimal
it will be 1.33= 1 1/3
SOMEBODY HELP ME PLEASE?! If planet 1 is 31.3 million miles farther from the sun then planet 2 then planet 3 is 23.2 million miles farther from the sun then planet 1. When the totals of the distances for these three planets from the sun is 193.8 million miles, how far away from the sun is planet 2?
All you have to do is add 31300000+23200000 which equals 54500000. Next subtract 54500000 from 193800000 which equals 139300000. So plant 2 is 139.3 million miles away from the sun
Let Planet 2 = X
Planet 1 = X + 31.3
Planet 3 = x +(31.3+23.2) = x + 54.5
Add the 3 distances together:
x + x +31.3 + x + 54.5 = 193.8
3x + 85.8 = 193.8
Subtract 85.8 from each side:
3x = 108
Divide both sides by 3:
x = 108 / 3
X = 36
Planet 2 = 36 million miles
Planet 1 = 36 + 31.3 = 67.3 million miles
Planet 3 = 36 + 54.5 = 90.5 million miles
36 + 67.3 + 90.5 = 193.8
Solve for
xx
x
x
.
n(17+x)=34x−rn(17+x) = 34x-r
n(17+x)=34x−r
n, left parenthesis, 17, plus, x, right parenthesis, equals, 34, x, minus, r
x=x=
x=
x, equals
Answer:
x = -[tex]\frac{17n+r}{n-34}[/tex]
Step-by-step explanation:
We have to solve the equation for the value of x.
n(17 + x) = 34x - r
17n + nx = 34x - r [By Distributive property ]
17n + nx - 17n = 34x - r - 17n [subtracting 17n from both the sides of the equation]
nx = 34x - r - 17n
nx - 34x = 34x - r - 17n - 34x [Subtracting 34x from both the sides of the equation]
x(n - 34) = -(r + 17n) [Division by (n - 34) on both the sides of the equation]
x = -[tex](\frac{17n+r}{n-34})[/tex]
This is the solution for x in terms of constants n and r is x = 17n + r/34 - n
Solving for x in the equation n(17 + x) = 34x − r
To solve for x, we begin by isolating x on one side of the equation. Given the equation:
n(17 + x) = 34x - r
First, distribute n on the left-hand side:
17n + nx = 34x - r
Next, rearrange the equation to place all terms involving x on one side:
17n + r = 34x - nx
Factor out x on the right side:
17n + r = x(34 - n)
Solve for x by dividing both sides by (34 - n):
x = 17n + r/34 - n
This is the solution for x in terms of constants n and r.
PLZ HELP ASAP
What is the equation, in point-slope form, for a line that goes through (8, −4) and has a slope of −56?
y+4=−56(x+8)
y−4=−56(x+8)
y+4=−56(x−8)
y−4=−56(x−8)
y + 4 = - 56(x - 8)
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 56 and (a, b) = (8, - 4)
y + 4 = - 56( x - 8 ) ← in point-slope form
What is 98/1000 in decimal form?
0.98 0.0 = tenths 0.00 = hundredths 0.000 = thousandths
Find the area of segment CFD given the following information: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54° Round your answer to the nearest hundredths if necessary.
A. 4.26 in2
B. 20.10 in2
C. 3.23 in2
D. 17.90 in2
Answer:
A. 4.26 in^2
Step-by-step explanation:
Step 1: Find the area of the sector DBC. Here we have to use the formula.
Area of a sector = Central Angle/360 *π[tex]r^{2}[/tex]
The area of the sector DBC = (54/360)*3.14*[tex]8^{2}[/tex]
= 30.16
Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD
= 30.17 - 25.9
Area of segment CFD = 4.27in^2
Answer:
4.24 in ^2
Step-by-step explanation:
extra added: Use 3.14 for the value of π. Round your answer to the nearest hundredths if necessary.
Q26. Meena bought a cake and left it on the table in the morning. When she came home in the evening, she saw that of the cake had been eaten. She ate of the remaining cake. Her brother ate of the remaining cake. Find the portion of the remaining cake?
The answer is; 24/75 of the entire cake remained
If 2/5 of the initial cake was eaten, the 3/5 is what remained
MInu ate 1/3 of the 3/5 = 3/15
3/5 – 3/15 = 6/15 remained
Her brother ate; 1/5 of 6/15 = 6/75
6/15 – 6/75 = 24/75 remained
Determine the standard form of the equation of the line that passes through (6,0) and (2,-7).
The equation of the line that passes through the points (6,0) and (2,-7) is '7x - 4y = 42' when transformed into the standard form.
Explanation:In mathematics, especially in linear algebra, the standard form of the line is a way of describing a specific line on the plane. We can get this by using two points through which the line passes. In this case, we have the points (6,0) and (2,-7).
First, we calculate the slope using the formula (y2 - y1) / (x2 - x1). Substituting our values, we have (-7 - 0) / (2 - 6) = -7 / -4 = 7/4. So, the slope is 7/4.
Next, we find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Using the point (6,0), we get 0 = 7/4 * 6 + b. Solving for b, we find that b = -21/2.
The equation is then y = 7/4x - 21/2. To convert this to the standard form, we multiply all parts by 4 to remove the fraction. The equation then becomes 4y = 7x - 42. After arranging, we obtain our final equation: 7x - 4y = 42.
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Owen used these steps to solve the equation 4x+7=1+2(2x+3)
4
x
+
7
=
1
+
2
(
2
x
+
3
)
. Which choice describes the meaning of his result, 7=7
7
=
7
?
The ratio 2.5 metres to 60 centimetres can be written in the form 1:n find the valur of n
To convert the ratio 2.5 metres to 60 centimeters to the form 1:n we first change metres to centimeters, which gives 250 cm to 60 cm, then divide 250 by 60 to get n = 4.1667.
To find the value of n when the ratio is converted to the form 1:n, we need to express both measures in the same unit. We know that 1 metre is equivalent to 100 centimeters, so we can convert 2.5 metres to centimeters:
2.5 metres times 100 cm/metre = 250 cm
Now, we have the two measures in centimeters: 250 cm to 60 cm. Next, we divide both these numbers to find the ratio in the form 1:n.
250 cm / 60 cm = n
We simplify the ratio by dividing both numbers by 60 cm:
n = 250 cm / 60 cm = 4.1667
Therefore, the ratio of 2.5 metres to 60 centimeters expressed as 1:n is approximately 1:4.1667.
Given: 5 > x + 7.
Choose the solution set.
{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}
Answer:
[tex]\huge\boxed{\{x|x\in\mathbb{R},\ x<-2\}}[/tex]
Step-by-step explanation:
[tex]5>x+7\qquad|\text{subtract 7 from both sides}\\\\5-7>x+7-7\\\\-2>x\to x<-2}[/tex]
How many square feet of carpet will be needed to recarpet the hallway?
A.
197 square feet
B.
321 square feet
C.
425 square feet
D.
554 square feet
E.
672 square feet
ANSWER
The correct answer is A
EXPLANATION
We divide the hallway into 2 rectangles as shown in the diagram attached.
The length of the longer is 25 and the with is 5 feet.
The area of this rectangle
[tex]=25\times 5[/tex]
[tex]=75[/tex] square feet
The smaller rectangle has length 6 feet and width 12 feet
The area of the smaller rectangle
[tex]=6\times 12[/tex]
[tex]=72[/tex] square feet
Adding the two areas gives the area of the hallway
[tex]=125+72=197[/tex] square feet
What is 254‾‾‾√+524‾‾‾√ in simplified radical form? Enter your answer in the box.
PLLEEEAASSE!!!
[tex]\bf 2\sqrt{54}+5\sqrt{24}\qquad \begin{cases} 54=2\cdot 3\cdot 3\cdot 3\\ \qquad 2\cdot 3\cdot 3^2\\ \qquad 6\cdot 3^2\\ 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 6 \end{cases}\implies 2\sqrt{6\cdot 3^2}+5\sqrt{2^2\cdot 6} \\\\\\ 6\sqrt{6}+10\sqrt{6}\implies \stackrel{\textit{adding like-terms}}{16\sqrt{6}}[/tex]
The simplest radical form of the equation [tex]2\sqrt{54} + 5\sqrt{24}[/tex] is [tex]16 \sqrt{6}[/tex].
We have to determine, the simplest radical form [tex]2\sqrt{54} + 5\sqrt{24}[/tex].
To convert the given equation into radical form following all the steps given below.
Equation; [tex]2\sqrt{54} + 5\sqrt{24}[/tex].
Step1; Converting 254 or 524 into small factors.[tex]= 2\sqrt{54} + 5\sqrt{24}\\\\=2 \sqrt{2 \times 3 \times 3 \times 3} + 5\sqrt{2 \times 2 \times 2\times 3}[/tex]
Step2; There are squares of 2 and 3 so the making square and remove from the square root.
[tex]=2 \sqrt{2 \times 3 \times 3 \times 3} + 5\sqrt{2 \times 2 \times 2\times 3}\\\\= 2 \sqrt{2 \times 3 \times 3^2} + \sqrt{2^2\times 2 \times 3} \\\\[/tex]
Step3; Now multiply the terms and solve the equation.[tex]= 2\times 3\ \sqrt{2 \times 3 } + 5 \times 2 \sqrt{2 \times 3}\\\\= 6 \sqrt{6} \ + 10 \ \sqrt{6}\\\\= 16\sqrt{6}[/tex]
Hence, The required simplest radical form of the equation [tex]2\sqrt{54} + 5\sqrt{24}[/tex] is [tex]16 \sqrt{6}[/tex]
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The sun produces 3.8*10^27 joules of energy per second . How much energy is produced in a year. The year is approximately 31,000,000 seconds
Open that attachment and that should be the answer.
Answer:
1.178 x 10^35 Joule
Step-by-step explanation:
Energy produced by sun in one second = 3.8 x 10^27 J
Energy produced by sun in a year = Energy produced by sun in one second x number of seconds in one year
According to the question, the number of seconds in one year
= 31,000,000 seconds
Energy produced by the sun in one year = 3.8 x 10^27 x 31,000,000
= 1.178 x 10^35 Joule
Thus, the energy produced by the sun in a year is 1.178 x 10^35 Joule.
elena has 80 unit cubes. what is the volume of the largest cube she can build with them?
3^3 = 27
4^3 = 64
5^3 = 125
The largest cube has volume 64 cubic units, and the sides are 4 units long.
The largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].
The volume of a cube is equals to the length of the side raised to the power of 3. Mathematically, [tex]V=(side)^3[/tex].
According to the question, Elena has 80 unit cubes.
So,
For [tex]side=1\;unit;\;Volume=1\;unit^3[/tex]
For [tex]side=2\;unit;\;Volume=8\;unit^3[/tex]
For [tex]side=3\;unit;\;Volume=27\;unit^3[/tex]
For [tex]side=4\;unit;\;Volume=64\;unit^3[/tex]
For [tex]side=5\;unit;\;Volume=125\;unit^3[/tex]
Hence, the largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].
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PLEASE HELP!!! This is a trigonometry question on right angle triangle. A bullet is found embedded in the wall of a room 2.9 m above the floor. The bullet entered the wall going upward of 38.2 degrees. How far from the wall was the bullet fired if the gun was held 1.3m above the floor?
I think it is 1.6m but I'm not sure
7.) Walter and Brian each have a CD collection.
Walter has x amount of CDs whereas Brian has 3 times the
number in Walter’s collection. The total number of CDs in both
collections is 144.
What is x, the number of CDs in Walter’s collection?
Find the x and y intercepts of the linear equation: 4x-3y=12 Please help!
The x- intercept would be (3,0) or 3
The y-intercept would be (0,-4) or -4
Corinne’s group was responsible for painting windows on the set of a school play. The group painted 18 windows in 90 minutes. If they continued painting at this rate, how many windows would they paint in 3 hours
90/18 equals 5 minutes for each window,so after 3 hours they would paint 36 windows. 180 minutes in three hours so 180/5=36
Find the value of x that will make L||M.
Please help me on this one!!!!!!! I need this done.
The given angles are known as alternate interior angles.
For line L and M to be parallel, the two given angles must be the same.
Set them to equal each other and solve for X.
7x - 7 = 4x +14
Add 7 to each side:
7x = 4x +21
Subtract 4x from each side"
3x = 21
Divide both sides by 3:
X = 21 / 3
X = 7
Answer:
7
Step-by-step explanation:
i need points
find the ordered pair whose x-coordinate is 5. 4x=6y+8
(6, 2 )
substitute x = 5 into the equation and solve for y
6y + 8 = 20 ( subtract 8 from both sides )
6y = 12 ( divide both sides by 6 )
y = [tex]\frac{12}{6}[/tex] = 2
the ordered pair is (5, 2 )
plug in 5
4(5)=6y+8
20=6y+8
12=6y
2=y
(5,2)