r = 3n + 2m
where
r = 6840
n = 1740
m = ?
\(\begin{gathered} 6840=3(1740)+2m \\ 6840=5220+2m \\ 6840-5220=5220+2m-5220 \\ 1620=2m \\ \frac{1620}{2}=\frac{2m}{2} \\ m=810 \end{gathered}\)answer m = 810
Please help. Plotting mixed numbers on a number line is really confusing for me.
Answer:
Go to the whole number of the mixed number then find that whole number on the line plot. Then skip 4 out of 5 jumps. For example, skip 4 jumps then you will get the fraction 4/5. So now we move onto 2 7/10. (2.7 as a decimal) Go to the whole number 2 on the line plot. Then jump 7 times in. Each jump should represent 1/10 or 0.1. So now you found the line plots of 1 4/5 and 2 1/10.
Step-by-step explanation:
I explained everything above. :)
Please mark brainliest.
What is the slope of the following equation?
y = -5x -2
At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's play, 125 tickets were sold, totaling $1,140. Which system of equations correctly represents this situation where a represents the number of adult tickets sold for Saturday night's play and c represents the number of child tickets sold?
1. a + c= 125 and 12a+6c=1140
2. 12a+6c=125 and a+c=1140
3. a+c=125 and 6a+12c=1140
4. 6a+12c=125 and a+c=1140
Answer:
a + c = 125 & 12a + 6c = 1140
Step-by-step explanation:
adult ticket total + child ticket total = 125 total tickets
($12 x adult ticket total) + ($6 x child ticket total) = $1140
Tommy divided 768 by 8 and his answer was 97 r2. He made a mistake. What did he do wrong?
The answer is 96.
/\___/\
(=θωθ=)
( > >) \/ \/_____It costs $145 for 10 people to attend a concert. How much does it cost a group of 8 people?
Answer:
It would cost $116 for a group of 8 people.
Step-by-step explanation:
You would divide 145/10 to find the cost for 1 group (which would be $14.5). Then, you would multiply 14.5x8 to get your answer of $116.
Answer:
$116
Step-by-step explanation:
1. First, let's find how much it costs for 1 person to attend a concert by dividing 145 by 10.
\(\frac{145}{10}\) \(14.5\)2. Next, let's multiply 14.5 by 8.
\(14.5 * 8\) \(116\)Therefore, it costs a group of 8 people $116 to attend a concert.
What is the volume of the cone below?
27
OA. 216 units³
B. 432 units3
units3
OC. 144
OD. 108 units³
The volume of the cone is 144π units³.
How to find volume of a cone?The volume of a cone can be calculated as follows:
volume of a cone = 1 / 3 πr²h
where
r = radius of the coneh = height of the cone.Therefore, the height of the cone is 27 units and the radius of the cone is given as 4 units.
Let's find the volume using the formula,
r = 4 units
h = 27 units
Therefore,
volume of a cone = 1 / 3 πr²h
volume of a cone = 1 / 3 × π × 4² × 27
volume of a cone = 1 / 3 × π × 16 × 27
volume of a cone = 432 / 3 π
Therefore,
volume of a cone = 144π
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A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 980 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 47.3. The angle of elevation from sea level to the top of the lighthouse is 51.3. Find the height of the lighthouse from the top of the cliff.
Using the tangent ratio, the height of the lighthouse from the top of the cliff ≈ 161.2 meters.
What is the Tangent Ratio?For solving a right triangle, the tangent ratio that can be applied is: tan ∅ = opposite length / adjacent length.
Find the height of the light house and the cliff using the tangent ratio:
tan 51.3 = height/980
Height of lighthouse + cliff = (tan 51.3)(980)
Find the height of the cliff only using the tangent ratio:
tan 47.3 = height/980
Height of cliff = (tan 47.3)(980)
Height of the lighthouse from the top of the cliff = (tan 51.3)(980) - (tan 47.3)(980)
Height of the lighthouse from the top of the cliff ≈ 161.2 meters.
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Solve the matrix equation AX=B for X.
Answer:
I think this is the solution
By calculating the inverse of matrix, X = \(\left[\begin{array}{ccc}0.5&2\\1.5&1\\\end{array}\right]\).
What is inverse of matrix?The inverse of matrix is another matrix, which on multiplying with the given matrix gives the multiplicative identity.
\(A = \left[\begin{array}{ccc}3&1\\4&2\end{array}\right] \\\\B = \left[\begin{array}{ccc}3&7\\5&10\end{array}\right] \\\\AX = B\\\\X = A^{-1}B\\ \\A^{-1} = adjA/|A| = \left[\begin{array}{ccc}1&-0.5\\-2&1.5\end{array}\right] \\\\X = \left[\begin{array}{ccc}0.5&2\\1.5&1\end{array}\right]\)
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Find the slope using the points (2,1) and (7,5). Justify your answer
Evaluate the power (-2)^4.
a)-16
b)8
c) -8
d) 16
Answer:
D) The answer is 16.
Step-by-step explanation:
1) An even exponent will make any negative number turn into a positive number, so your answer must be positive.
2) You can just go by 2*2*2*2=16 to find out that the answer is 16.
find the LCD of 1/3and2/7
Answer:
21
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
A student ran out of time on a multiple-choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices –a,b,c,d – and only one correct answer. What is the probability that he answered both of the problems correctly?
Do not round your answer.
\({\huge{\fbox{\tt{\blue{ANSWER}}}}}\)
______________________________________
The probability of answering a single problem correctly by randomly guessing is 1/4, since there are 4 answer choices and only one correct answer. Since the student randomly guessed the answer to both problems, the probability of answering both problems correctly is:
(1/4) x (1/4) = 1/16
Therefore, the probability that the student answered both problems correctly is 1/16.
Pls help me with this
Answer:
f(X)=2x is the correct answer
If the surface area of a cylinder is 288 picm2 with radius of 8 cm, what is the volume of the cylinder? (in terms of m)
A)
320pi cm3
B)
640pi cm3
9.
720pi cm?
D)
980pi cm3
help me pls hurry thanku
Answer: The volume of the cylinder is 640π cm³
Step-by-step explanation:
The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height
The formula of the volume of a cylinder is V = πr²h
Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume
∵ The surface area of a cylinder is 288π cm²
∵ Its radius is 8 cm
∵ SA = 2πrh + 2πr²
- Substitute the SA by 288π and r by 8 in the formula
∴ 288π = 2π(8)h + 2π(8)²
∴ 288π = 16πh + 128π
- Subtract 128π from both sides
∴ 160π = 16πh
- Divide both sides by 16π
∴ 10 = h
∴ The height of the cylinder is 10 cm
Now let us find the volume of the cylinder
∵ V = πr²h
- Substitute r by 8 and h by 10
∴ V = π(8)²(10)
∴ V = π(64)(10)
∴ V = 640π
The volume of the cylinder is 640π cm³
Which statement is true about the graphs of the two lines y = –6 and x = ?
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x = is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x = is a horizontal line with a slope that is undefined.
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x = is a vertical line with a slope that is undefined.
Answer:
if x is positive the answer is the 4th statement and if it is negative the answer is the 3rd statement
Step-by-step explanation:
We have the statement that tells us: "the graphs of the two lines y = –6 and x =?" x, we do not know it, but from the y coordinate we can do it by discard.
In the case of y-coordinate we have that y = -6 is a horizontal line with a slope of 0, therefore of the 4 statements it is reduced to 2, the third and the fourth.
Depending on the sign that has the value of x, if it is positive or negative it would be the 3rd and 4th answer.
if x is positive it is a vertical line with a slope that is undefined, but if it is negative it is a horizontal line with a slope that is undefined.
kx^2+k=8x-2xk
Find the range of values of k- there are two distinct roots.
I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step
Answer:
i cant understans the quedtoion its worng bro
What is the sum of
5x² + 3x - 7 and 12x + 12?
O 5x² + 15x+5
O 5x² +15x + 19
O 17x² + 3x +5
○ 17x² + 15x + 12
O 20x4 +5
Write as a
single fraction
X-2
X+ 3
X+1
x-11
Answer:
x-2/1
X+3/1
x+1/1
x-11/1
Step-by-step explanation:
just put over 1 in the bottom for all the equation
Question 2
Use properties of operations to determine whether or not the expressions 0.5x+and 1(0.5x) are equivalent
The expressions are Select Choice
Based on the identity property of 1, the expressions are equivalent.
What is the Identity Property of Multiplication?The identity property of multiplication states that if a number is multiplied by 1, it will yield the same number itself.
For example, a × 1 = a.
Given the following expressions:
0.5x and 1(0.5x)
0.5x will maintain its identity if multiplied by 1.
Therefore, based on the identity property of 1, the expressions are equivalent.
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The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Catalinas mother recorded her Height each year. The table below shows her height in inches
Evaluate the equation. H divided by 3 = 69 2/3
Answer:
138
Step-by-step explanation:
Do the inverse. 69 2/3 multiplied by 3 is 138.
If - 3y = 1 and 11y - x = -5, then what does x - 10y = ?
The answer for x - 10y = 14/3.
Solving for x and y by substitution methodTo solve for x and y, we can use the first equation to solve for y in terms of x:
-3y = 1
y = -1/3
Now we can substitute this value of y into the second equation and solve for x:
11y - x = -5
11(-1/3) - x = -5
-x = -5 + 11/3
-x = -4/3
x = 4/3
Now that we have found the values of x and y, we can substitute them into the expression x - 10y:
x - 10y = (4/3) - 10(-1/3)
x - 10y = 4/3 + 10/3
x - 10y = 14/3
Therefore, x - 10y = 14/3.
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PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
Answer:
B
Step-by-step explanation:
Only need to check m:
m^-6 / m^-2 = m^(-6 - -2) = m^-4 = 1 / m^4
Answer:
B
Step-by-step explanation:
A number has the digits 6, 8, and 2. To the nearest hundred, the number rounds to 900.
What is the number?
Answer:
862
Step-by-step explanation:
Consider two points A(0,0) and B(1, 1) on a Cartesian plane. The equation of the axis of the segment AB is: A. y = 1 2 − B. y = 2 − C. y = 1 − 2 D. y = 1 − E. y = 1 − 2
So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
The slope of the line passing through points A and B can be calculated as follows:
slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1
The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
To find the y-intercept, we can use point A (0,0) and substitute the slope value.
y = mx + b
0 = 1(0) + b
b = 0
Therefore, the equation of the line passing through points A and B is:
y = 1x + 0
Simplifying, we get:
y = x
So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:
y - 0 = 1(x - 0)
y = x
This confirms our earlier answer.
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45% of a school brought in permission slips for Skateland. If the school received 150 permission slips, how many students are there in the school?
Step-by-step explanation:
What is 45% of 150?
Y is 45% of 150
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 45% * 150
Converting percent to decimal:
p = 45%/100 = 0.45
Y = 0.45 * 150
Y = 67.5
Brainliest?
Mrs. Tollett's class is working on a
recycling project. The students
are collecting aluminum cans. Over
three days, they collected 88 cans,
113 cans, and 73 cans. How many
cans did they collect in all?
Answer:
274
Step-by-step explanation:
113+88+73