Answers
Answer:
8
Step-by-step explanation:
Note that 2 divides into 8 evenly, yielding the quotient 4. 8 is the LCD. To combine 3/8 and 11/2, we would rewrite 11/2 as
4·11
------ = 44/8
4·2
and then combine 44/8 with 3/8. The sum would be 47/8.
In summary, the LCD of 3/8 and 11/2 is 8; 3/8 stays as is and 11/2 is rewritten by mult. numerator and denominator by 4 each.
Related Questions
Find the arc length of the partial circle..
Answers
Answer:
The arc length of the partial circle is [tex]6\pi\ units[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
In this problem we have a 3/4 of a circle
so
the circumference is equal to
[tex]C=(\frac{3}{4})2\pi r[/tex]
[tex]C=\frac{3}{2}\pi r[/tex]
we have
[tex]r=4\ units[/tex]
substitute
[tex]C=\frac{3}{2}\pi (4)[/tex]
[tex]C=6\pi\ units[/tex]
which value of b makes the trinomial a perfect square
Answers
Answer:
12
Step-by-step explanation:
Given trinomial is [tex]x^2-bx+36[/tex].
Now we need to find the value of b that will make the trinomial [tex]x^2-bx+36[/tex] a perfect square.
[tex]x^2-bx+36[/tex]
[tex]=x^2-bx+36[/tex]
[tex]=x^2-bx+6^2[/tex]
compar with [tex]=a^2-2ab+b^2=(a-b)^2[/tex]. we get:
a=x and b=6
then middle term -2ab=-2(x)(6)=-12x
compare -12x with -bx, we get b=12
Hence choice C. 12 is correct.
Answer:
The correct answer is option C. 12
Step-by-step explanation:
It is given a quadratic expression
x² - bx + 36
To find the value of b
From the above expression we can see that 36 is a perfect square,
6² = 36
We can write this expression as ( x - 6)² if b = 12
(x - 6)² = x² - 12x + 36
Therefore the correct answer is option C. b = 12
find the x and y-intercepts of the line that passes through the points (-6,-6) (4,-2), I will mark brainliest!!
Answers
Answer:
The x intercept will be (9,0) and the y intercept will be (0,-3.6)
Step-by-step explanation:
If you graph both of these points on the graph you can see the x intercept clearly but you have to solve for the y intercept by plugging it into y=mx+b equation.
Is √1/√49 rational ???
Answers
The number √1/√49 is a rational number.
Given a number √1/√49.
Here the numerator and the denominator includes the square root.
We can see that both the numbers inside the square root is a perfect square.
So the number can actually be written in the integer form.
So,
√1/√49 = 1/7, since 7² = 49
Now rational numbers are numbers which can be written in the form of p/q where p and q are integers with q not equal to 0.
Here the number can be written as 1/7, where 1 and 7 are integers.
Hence it is rational.
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Carol’s last credit card statement said that she had an account balance of -$130. Which of the following accounts balances represents a debt greater than Carol’s?
Answers
A debt greater than Carol's would bear a value that is numerically larger but still under the negative sign. In simpler terms, any debt greater than -$130 is indeed a greater debt.
Explanation:The question asks, 'Which of the following account balances represents a debt greater than Carol's?' When working with debts in math, it's important to remember that the larger the number, the greater the debt. So any number larger than -$130 represents a debt greater than Carol's.
For example, a balance of -$150 would be a larger debt than Carol's -$130. Why? Because when you owe $150, it's more than owing $130, despite the negative sign. Conversely, a balance of -$100 would be less of a debt than Carol's, because owing $100 is less than owing $130.
It's a somewhat counterintuitive part of working with negative numbers, but once you understand that the negative sign represents a debt, it starts to make sense. The concept of debt here is similar to examples provided where people often have a tendency to hold onto a savings account while carrying a credit card debt.
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An account balance which represents a greater value than Carol's account balance is -$165
Using the parameters given for our Calculation;
Carol's account balance = -$130Values which represents a greater debt than Carol's are values which falls farther to the left of 130 on a number line.
From.the values given, only -165 falls further to the left of -130 on a number line.
Hence, the correct answer is -$165.
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Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
Answers
Answer:
[tex]8\pi\ ft[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter
we have
[tex]D=8\ ft[/tex]
substitute
[tex]C=\pi (8)=8\pi\ ft[/tex]
Answer: [tex]8\pi\ \text{ft.}[/tex]
Step-by-step explanation:
We know that formula to calculate the circumference of a circle is given by :-
[tex]\text{Circumference}=\pi d[/tex], where d is the diameter of the circle.
Given: The diameter of the circle : [tex]d=\ 8\ ft.[/tex]
Then , the circumference of a circle is given by :-
[tex]\text{Circumference}=\pi (8)=8\pi\ \text{ft.}[/tex]
Hence, the exact circumference of a circle with diameter equal to 8 ft = [tex]8\pi\ \text{ft.}[/tex]
PLEASE HELP WITH THIS QUESTION
Answers
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
3/5 divided by 3/10 equals what
Answers
Answer:
2
Step-by-step explanation:
[tex] \frac{3}{5} \div \frac{3}{10} = \\ \frac{3}{5} \times \frac{10}{3} = \\ 2 \: is \: the \: answer[/tex]
A rectangular flowerbed is 22 inches long by 8 inches wide. The flowerbed is filled to a depth of 6 inches with dirt. What is the volume, in cubic inches, of the dirt in the flowerbed?
176
180
712
1056
Answers
Answer:
The volume of the dirt in the flowerbed is [tex]1,056\ in^{3}[/tex]
Step-by-step explanation:
we know that
To find the volume of the dirt in the flowerbed, multiply the long by the width by the depth
so
[tex]V=(22)(8)(6)=1,056\ in^{3}[/tex]
Final answer:
To calculate the volume of dirt in a rectangular flowerbed with dimensions of 22 inches by 8 inches by 6 inches, use the formula Volume = length × width × height, resulting in 1056 cubic inches.
Explanation:
The question asks for the volume of dirt a rectangular flowerbed can hold. To find the volume, we use the formula Volume = length × width × height. Given the dimensions are 22 inches (length) by 8 inches (width) by 6 inches (height), we calculate the volume as:
Volume = 22 in. × 8 in. × 6 in. = 1056 cubic inches. Therefore, the volume of the dirt in the flowerbed is 1056 cubic inches.
URGENT!!! Write the product as a sum or difference.
18cos(29x)cos(17x)
Select the correct answer below:
9sin(46x)+9sin(12x)
9sin(46x)−9sin(12x)
9cos(46x)+9cos(12x)
9cos(46x)−9cos(12x)
9cos(46x)+9sin(12x)
9sin(46x)−9cos(12x)
Answers
Answer:
9cos(46x) + 9cos(12x)
Step-by-step explanation:
18cos(29x)cos(17x)
According to Product-Sum identities
cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]
Putting α=29x and β=17x in Product-Sum identity we get
= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]
Dividing 18 by 2 we get 9
= 9[cos(46x)+cos(12x)]
Multiplying 9 with both the terms we get
= 9cos(46x)+9cos(12x)
Kyle grates 4/8 pound of cheese for enchiladas. He grates 2/8 pound of cheese for tacos. How much cheese does Kyle grate in all?
Answers
He grates 6/8 pounds of cheese in all.
For this problem, you just have to add the numerators and keep the denominators.
4/8 + 2/8 = 6/8.
Remember, if the denominator is the same, just add the numerator.
When you add fractions remember only add the numerator. There has to be a common denominator. Like 8.
4/8 + 2/8
4+2=6
So the answer is 6/8
Solve the system of equations: y−2x=1 6x−y=7
Answers
y - 2x = 1
6x - y = 7
Adding equations,
4x = 8
x = 2
y = 2x + 1 = 5
Answer: (2,5)
Check:
5-2(2)=1, good
6(2)-5=7, good
To solve the system of equations y - 2x = 1 and 6x - y = 7, we use the elimination method. By aligning the equations and setting the right sides equal, we can solve for 'x' and then 'y', resulting in the solution x = 2 and y = 5.
Solving the System of Equations
To solve the system of equations:
y - 2x = 1
6x - y = 7
We can use the method of substitution or elimination. In this case, the elimination method seems efficient. Let's align the equations:
y = 2x + 1
6x - y = 7
We can eliminate y by adding the two equations. First, rearrange the second equation:
y = 2x + 1
y = 6x - 7
By setting the right sides equal to each other, we get 2x + 1 = 6x - 7. Solving for x gives us x = 2 and substituting x back into either equation yields y = 5.
Therefore, the solution to the system of equations is x = 2 and y = 5.
A farmer has 1600 yards of fencing to enclose a rectangular garden. Express the area A of the rectangle as a function of the width x of the rectangle. What is the domain of A?
Answers
Answer:
A = (800 yd - x)x, [0, 800]
Step-by-step explanation:
The farmer fences in this rectangular garden using 1600 yds of fencing. Using the formula for the perimeter of a rectangle,
P = 2x + 2L, where x is the width and L is the length. Here P = 1600 yd.
Solving for L: 1600 yd = 2x + 2(L) → 800 yd = x + L → L = 800 yd - x.
The area of the rectangle is A = L·x. Subbing (800 yd - x) for L, we get:
A = (800 yd - x)x. This is the desired formula for the area of the rectangle as a function of x alone. Neither length nor width can be negative, so the domain of this function A is x ≤ 800 yd.
Let the length of the rectangular garden = l yards
And the width of the garden = w yards
Farmer has the fence in length = 1600 yards to cover all the sides of the garden
Therefore, Perimeter of the rectangular garden = 1600 yards
Since, perimeter of the rectangular garden is given by the expression,
Perimeter = 2(l + w)
By substituting the values in the expression,
1600 = 2(l + x)
l + x = 800
l = 800 - x -------(1)
Since, area of the rectangle = Length × Width
= l × w
= lx
Therefore, by substituting the value of 'l' in terms of 'x' in from equation (1),
Area of the rectangular garden = (800 - x)x
If the area of the garden is represented by by the function A(x),
A(x) = (800 - x)x
A(x) = 800x - x²
Since, Area can not be negative or zero,
Domain of the function will be 0 < x < 800
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joshua,steve,antonioare baking pie.joshua has 1/2 cups of flour, steve has 1 3/4 cups of flour ,and Antonio has 1 4/6 cups of flour . how may cups of flour do they have all together ?
Answers
Answer:
They all have 3 cups together.
Step-by-step explanation:
I added 1/2 plus 1 3/4 plus 1 4/6 on a calculator and got 3.91666666667
Basically 3.
I was supposed to determine the length of the winding path through the circle.
my answer is
[tex]12.56 \: in {}^{2} [/tex]
Is this correct?
Answers
Check the picture below.
the idea being, the winding path is made out of semi-circles, each semi-circle has a diameter of 3, as you see there in the picture.
now, if we could just take two semi-circles, we'd have a full circle, with a diameter of 3, so from all 4 semi-circles we can actually get two full circles, as you see there, and the circumference of those two full circles, is the length of the winding path.
[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=3 \end{cases}\implies C=3\pi \qquad \stackrel{\textit{two circles added together}}{3\pi +3\pi \implies 6\pi ~~\approx~~18.85}[/tex]
Students are painting the backdrop for the school play. the backdrop is 15 feet wide and 10 feet high. Every 16 inches on the scale drawing represents 5 feet on the backdrop. What is the area of the scale drawing?
15 points
Answers
A=bh for a rectangle. 16x3= 48in(width/base) 16x2= 32in (height) so A=48x32. A= 1,536
State how the measure of a central angle and its intercepted arc are related.
Question 4 options:
The central angle is the same measure as the intercepted arc.
The central angle is double the measure as its intercepted arc.
The central angle is ½ the measure of its intercepted arc.
The central angle’s measure is not related to the measure of its intercepted arc.
Answers
Answer:
Step-by-step explanation:
The measure of a central angle is equal to the measure of its intercepted arc. A chord is a segment that has is endpoints on a circle. ... A line is called a straight angle and it forms a 180 degree angle. A central angle is an angle with its vertex at the center of a circle and its sides are radii of the same circle.
Carli made a photo book.she put 9 pictures on each page. She filled 6 pages with pictures of her trip to Fort Lauderdale and 4 pages with pictures of her trip to Las Vegas. How many pictures are in her photo book?
Answers
Answer:
90
Step-by-step explanation:
If you take 9 pictures on each page that is gonna be its own number so you than add 6 and 4 and get ten than multiply it by 9 and boom you get 90
Carli has a total of 90 pictures in her photo book, with 54 pictures from her trip to Fort Lauderdale and 36 pictures from her trip to Las Vegas.
Explanation:In order to find the total number of pictures in Carli's photo book, we need to calculate the number of pictures on each page for both trips and then sum them up. Carli put 9 pictures on each page. She filled 6 pages with pictures of her trip to Fort Lauderdale, so the number of pictures for this trip is 6 pages x 9 pictures per page = 54 pictures. Carli also filled 4 pages with pictures of her trip to Las Vegas, so the number of pictures for this trip is 4 pages x 9 pictures per page = 36 pictures. The total number of pictures in her photo book is 54 pictures + 36 pictures = 90 pictures.
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The reduced row-echelon form of the augmented matirx of a system of equations is given. Find the solution of the system.
Answers
Answer:
option C)
(19,2,5)
Step-by-step explanation:
| 4 | x
| 12 | y
| 5 | z
After reducing the matrix in row-echelon form we are left with three equation as following
Equation 1
0x + 0y + 1z = 5
Equation 2
0x + y1 + 2z = 12
Equation 3
1x + 0y -3z = 4
SolutionAs in first equation
0 + 0 + z = 5
z = 5
Put this value of z in equation 2 and 3
y + 2(5) = 12
y + 10 =12
y = 12 - 10
y = 2
x + 0 -3(5) = 4
x - 15 = 4
x = 4 + 15
x = 19
So the solution of the system is (x,y,z) = (19,2,5)
Given a=-3,b=4 and c=-5, evaluate a-b-c
A.-12
B.-6
C-2
Answers
Answer:
C
Step-by-step explanation:
a-b-c
-3-4-(-5)
-3-4+5 [as - - = +]
-2
7x^2−5x=9x^2+7x
SOLVE THE EQUATION
PLZZZ SOLVE QUICKLY
Answers
Answer:
x=0 x = -6
Step-by-step explanation:
7x^2−5x=9x^2+7x
subtract 7x^2 from each side
7x^2-7x^2−5x=9x^2-7x^2+7x
-5x = 2x^2 +7x
Add 5x from each side
-5x+5x = 2x^2 +7x+5x
0 = 2x^2 +12x
Factor out a 2x
0 = 2x(x+6)
Using the zero product property
2x =0 x+6 = 0
x=0 x = -6
What is the length of a rectangle whose perimeter is P, if the width is 6?
Answers
Answer:
(P-12)/2 = L
Step-by-step explanation:
1. Start off with an equation in terms of perimeter
P = (2)(6) + (2)(L)
2. Multiply the two and the six
P = 12+ (2)(L)
3. Move the terms around so only "L" is on one side
(P-12)/2 = L
hope this helped :)
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Step-by-step explanation:
Answer:
And for people struggling with simpler answers, here!
Step-by-step explanation:
P-12
———-
2
or
P-12/2
Justin walked his dog 2 blocks west,6 blocks north,2 blocks east,and 6 blocks south.Then he walked he walked his other dog the same route.How many blocks did Justin walk in all?
Answers
Answer:
32
Step-by-step explanation:
Thankyouuuuuuuuuuuuuuuuuu
in a game the player wins if he rolls a 6 on a number cube .if the number cube is rolled 18 times then what is the reasonable
prediction for the number of unsuccessful rolls
Answers
Prediction for the number of unsuccessful rolls is 15.
Step-by-step explanation:There is [tex]\frac{1}{6}[/tex] chance of rolling number 6 on the cube. If we want to find out what is the prediction for rolling number 6 in 18 rolls, we need to multiply [tex]6*\frac{1}{6}[/tex] which is 3. So if we roll a cube 18 times, we will probably got number 6 three times. When we subtract 3 from 18 (18-3), we get 15. That is the answer to your question.
I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David
If sinv=-5/13, pi
1. cos(u+v)=
2. sin(u-v)=
Answers
the answer is number 2 sin (u-v)÷
Chen completed the division problem below.
Answers
Answer:
B. He multiplied the dividend by 100 instead of 10.
Step-by-step explanation:
Chen had to divide [tex]1.926[/tex] by [tex]0.9[/tex]. To make it easier to divide, he thought of multiplying both the dividend and the divisor by 10.
Chen multiplied the divisor by 10 but mistakenly multiplied the dividend by 100 instead of 10.
So his whole division problem was changed.
Therefore, the correct answer option is B. He multiplied the dividend by 100 instead of 10.
Answer:
option B
He multiply the dividend by 100 instead of 10
Step-by-step explanation:
Given that,
divisor = 0.9
dividend = 1.926
Chen decided to multiply each by 10 to get
divisor = 0.9 x 10 = 9
dividend = 1.926 x 10 = 19.26
but unfortunately he multiply the dividend by 100
As,
1.926 x 100 = 192.6
So,
Chen's error was that he multiply the dividend by 100 instead of 10.
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test predicts it has oil?
Answers
Answer:
Don't take my word for it but I think it would be 55% chance. I'm Probably wrong.
Step-by-step explanation:
Answer:
9% or 0.09
Step-by-step explanation:
Given, chance of land having oil is 45%. Which is 0.45
So, chance of land NOT having oil is percent. Which is 0.55
Given, kit's accuracy rate of finding oil as 80%. Which is 0.80
So, kit's accuracy rate of NOT finding oil is percent. Which is 0.20
These 2 events are INDEPENDENT, which means that the probability of one event occurring does not affect the probability of another event occuring.
The formula, if we let the two evens be A and B, is:
P(A and B)=P(A) * P(B)
Now, "the probability that the land has oil (event A)AND the test predicts that there is no oil (event B)" will be:
P(A and B) = P(A) * P(B)
Hence, the probability is 0.09 or 9%
Which number is 4 units from-1
Answers
Or -1 - 4 = -5
I would put 3.
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
Answers
Answer:
The perimeter of rectangle is [tex]18\ cm[/tex]
Step-by-step explanation:
Let
x------> the length of rectangle
y----> the width of rectangle
we know that
The area of the constructed figure is equal to
[tex]A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}[/tex]
so
[tex]120=xy+2x^{2} +2y^{2}[/tex] -----> equation A
[tex]x=y+5[/tex] -----> equation B
substitute equation B in equation A
[tex]120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0[/tex]
using a graphing calculator to resolve the quadratic equation
the solution is
[tex]y=2\ cm[/tex]
Find the value of x
[tex]x=2+5=7\ cm[/tex]
Find the perimeter of rectangle
The perimeter of rectangle is equal to
[tex]P=2(x+y)\\P=2(7+2)=18\ cm[/tex]
243 is 60% of what amount
Answers
Answer:
60% of 243 = 145.80
Hope this helps,
Davinia.
60% × 243 =
(60 ÷ 100) × 243 =
(60 × 243) ÷ 100 =
14,580 ÷ 100 =
145.8
how to make sure it is right we do the reverse of what we did
145.8 ÷ 243 =
0.6 =
0.6 × 100/100 =
0.6 × 100% =
(0.6 × 100)% =
60%
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