65 adult tickets were sold whereas 40 student tickets were sold as well
What approach is appropriate to solve the word problem?
The most suitable approach to determine the number of each type of tickets sold is by simultaneous equation such the word problems are modelled into equations which are solved together to ascertain the number of adult and student tickets sold altogether
let x be adult tickets sold
let y be student tickets sold
x+y=105........ equation 1
4x+3y=380........ equation 2
from equation 1, x=105-y
substitute for x in equation 2
4(105-y)+3y=380
420-4y+3y=380
420-y=380
420-380=y
40=y
y=40
x=105-40
x=65
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Sam had 233 dollars to spend on 7 books. How much did each book cost ?
Answer:
0
3
3
7
2
3
3
-
0
2
3
-
2
1
2
3
-
2
1
2
Step-by-step explanation:
SOOOOOOOOOO THE ANSWER 33 with the reamder of 2
Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Jessica has been adding money. Suppose that x and y are related by the equation =+55030xy.
After differentiating, the amount when x=0 yields starting amount,
300 dollars.
What is diffrentiation?
A technique for determining a function's derivative is differentiation.A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.In mathematics, differentiation is used to determine change rates.Differentiating the given equation with respect to x,
Given equation,
y= 55x+ 300
[tex]\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55[/tex] dollars.
The amount when x=0 yields starting amount,
y=55(0)+300=300
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2x - 3 = -5
What is X?
Answer: x=-1
Step-by-step explanation:
2x - 3 = -5
2x - 3 +3= -5+3
2x=-2
x=-1
Answer:
x = -1
Step-by-step explanation:
To find x, we have to get x by itself.
2x - 3 = -5
Add 3 to both sides
2x - 3 +3 = -5 +3
2x = -2
Divide by 2 to both sides
2x ÷2 = -2 ÷2
x = -1
Have a good rest of your day! :)
Question Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.
Answer:
y = - 2x + 2
Step-by-step explanation:
[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]
[tex]y-8=-2x-6[/tex]
[tex]y=-2x-6+8[/tex]
[tex]y=-2x+2[/tex]
Hope this helps
Use the given point, P, on the unit circle to find the value of sine and cosine of t. Answer exactly.
sin(t)
P is at the point (0, - 1).
cos(t)
=
=
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Value of Sine and Cosine of T is -1 and 0 respectively.
According to the question statement, P is at the point (0,-1)
We are supposed to find the value of trigonometric ratios sine and cosine of T
Let Point P (0,-1)
[tex]x=0, y=-1[/tex] and radius r = 1
[tex]sin(t) = \frac{y}{r}\\sin(t)=\frac{-1}{1} \\sin(t)=-1[/tex]
Therefore, sine of t is -1
[tex]cos(t)=\frac{x}{r} \\cos(t)=\frac{0}{1} \\cos(t)=0[/tex]
Therefore, cosine of t is 0
Trigonometric ratios: Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Trigonometric ratios are therefore assessed in relation to sides and angles.To learn more about trigonometric problems, click on the link given below:
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-1/3y+4x=3 solve for y
Answer: y = 12x − 9
Step-by-step explanation:
Let's solve for y
-1/3y +4x = 3
Step 1: Add -4x to both sides.
4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3
Step 2: Divide both sides by (-1)/3.
-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9
Please I need help asp!!!
Answer:
See the picture below.
Step-by-step explanation:
Use units to help you answer the question. If necessary, round your answer to two decimal places.
An acre is equal to 43,560 square feet, and there are 5280 feet in a mile. If a farm has the shape of a rectangle measuring 0.9 miles by 1.5 miles, what is the area of the farm in acres?
The area of the farm in acres is 864 acres.
How to find the area of a farm?An acre is equal to 43,560 square feet, and there are 5280 feet in a mile.
Therefore,
1 mile = 5280 feet's
The farm has the shape of a rectangle measuring 0.9 miles by 1.5 miles. Therefore, let's convert to feet's
1 mile = 5280 feet's
0.9 miles = ?
cross multiply
length = 0.9 × 5280 = 4752 feet
1 mile = 5280 feet's
1.5 miles = ?
width = 1.5 × 5280 = 7920 feet's
Hence,
area of the farm = 4752 × 7920
area of the farm = 37635840
Therefore, the area of the farm in acres can be calculated as follows:
43560 ft = 1 acre
37635840 ft = ?
cross multiply
area of farm = 37635840 / 43560
area of the farm = 864 acres.
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Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
Which of the following is not a function for all values of x?
Answer:
f(X) = ( - X) ½
is the answer
pls brainliest
Find the -intercept and the slope of the line 4x8y=3. Write your answers in simplest form.
The slope of the straight line is -1/2 whereas the y-intercept is 3/8.
What is defined as the equation of line in slope intercept form?Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.
Determine the slope first, then the y-intercept. For the time being, just consider if the slope is either positive or negative.The following are the variables that we will begin to use in our function:slope = mb = the y-interceptThe formula is y = mx + b. The variables x and y remain alphabets, but m and b have been replaced by numbers (for example, y = 2x + 4, slope = 2, and y-intercept = 4).Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.
y = mx + b
Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.
The given equation is;
4x + 8y = 3
Re-arranging the equation;
8y = -4x + 3
Divide the whole equation by 8.
y = -4x/8 + 3/8
Further simplifying;
y = -x/2 + 3/8
Comparing the result with the general form of equation.
m = -1/2; which is the slope.
c = 3/8; which is the y-intercept.
Thus, the values for slope and y-intercept are estimated.
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The correct question is-
Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.
-14= -4 + u/5
Solve for u
Answer:
u = -50
Step-by-step explanation:
First let's carry the -4 to the other side and get u/5 by itself
-14 = -4 + u/5
+4 +4
-10 = u/5
The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides
-10 = u/5
*5 *5
-50 = u
So u should equal -50.
_____
You can also check this answer by plugging it back into the original problem
-14 = -4 -50/5
-14 = -4 -10
-14 = -14
The statement is true, so -50 is our answer for sure.
Hope this helps :)
4 x 13
4x( ) +( )
(4x ) +(4x )
______+______
nafissa have eaten 60 apple 1day. so how many apple will she eat within 1week
Answer: 420
Step-by-step explanation:
60 apples per day times 7 days in a week = 420
Susan Marciano invested part of her $12,000 bonus in a fund that paid 8% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $300 .
Answer:y=mx+b
Step-by-step explanation:
Answer:
Let x be the amount invested in funds that earned 8%.
Then the amount invested in stock that suffered 3% loss is 18,000 - x.
The profit from investment in funds is 8%x
The loss from investment in stock is 3%(18,000 - x).
The net profit is 8%x - 3%(18,000 - x).
As the net profit given in the problem is $780, we have:
8%x - 3%(18,000 - x) = 780
Step-by-step explanation:
Communicate and Justify Which is
Greater, 4/7 x 1/4 or 4/7 x 1/6? Explain.
It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
How to illustrate the information?It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.
Therefore 4/7 x 1/4 will be:
= 4/7 × 1/4
= 1/7
Also 4/7 x 1/6 will be:
= 4/7 × 1/6
= 2/21
Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
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A 10-lb bag of flour costs $3.69. A
5-lb bag costs $1.55. How much can
you save if you buy the big bag
instead of 2 small bags?
$0.29 you save if you buy the big bag instead of 2 small bags .
The unitary method is a strategy that determines the value of many units based on the value of a single unit in addition to calculating the value of a single unit using the values of multiple units.
We must divide the value of one thing by the number of other items we wish to calculate the value of before multiplying that result by one.
From the question,
A huge bag of flour weighing 10 lbs costs $3.69 in total.
Currently, one 5-lb small bag costs $1.55.
Consequently, two 5-lb little bags cost $3.10 each.
Cost difference equals big bag cost minus two small bag expenses.
The price difference is equal to $3.69 minus $3.10.
$0.29 is the cost difference.
By purchasing two small bags of floor instead of one large bag, you will save $0.29.
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For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
x - y = 4
Answer:
Please see picture below.
Step-by-step explanation:
A teacher records your grade points as 197. Your notes say that you have 205 points. What is
your percent error?
The percent error is 8%
How to calculate the percent error ?The formular for percent error is approximate value -exact value/exact value multiplied by 100
The approximate value is 197 points
The exact value is205 points
Percent error = 197 - 205 /205 × 100
= -8/205 × 100
= 0.0390 × 100
= 3.9
Hence the percent error is 8%
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9x = 7x + 22 need help
Answer:
x=11
Step-by-step explanation:
9x=7x+22
9x-7x=22
2x=22
2x/2=22/2
x=11
HELP PLEASE I NEED HELP! Please solve
4(0.5n-6)=n-0.25(12+8n)
Brainiest given
Answer: -21
Step-by-step explanation:
$2,000 is the average price of a square foot. How much would you have to pay if you want to buy a 2 bedroom (1,200 sq ft) apartment in Manhattan ?
Answer:
$2,400,000
Step-by-step explanation:
Just multiply them together
The formula for the nth pentagonal number is
[tex]P_{n}[/tex] = n(3n-1)/2
Use the formula to find the 16th pentagonal number.
The 16th pentagonal number is 376
What is a function?A function can be defined as an expression that explains the relationship between a dependent and an independent variable.
Given the function for the nth pentagonal number as;
Pn = n( 3n -1 )/ 2
To determine the 16th pentagonal number, we need to substitute the value of n as 16
We have;
P16 = 16(3(16) - 1)/ 2
P16 = 16( 48 - 1)/ 2
P16 = 16(47)/ 2
expand the bracket
P16 = 376
Thus, the 16th pentagonal number is 376
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Mia has 7 boxes of cherry tarts. Each box has 8 cherry tarts. Explain how to use an open number line to solve.
Use of open number line is
7 boxes of cherry tarts
Each box has 8 cherry tarts.
Total cheny tarts is
[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]
A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.
A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.
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If the surface area is 275 square inches, then what is the radius r ? In other words, evaluate r(275) . Round your answer to 2 decimal places.
When the surface area is 275 square inches, the radius is approximately 6.17 inches.
The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.
Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.
Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]
Let the total surface area of the given cylinder be written as A(x).
[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]
Now given A(x)=275 and h=8 inches.
[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]
The radius is 6.17 inches when the surface area is 275.
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A rectangular picture has dimensions of length (2x-1) inches and width (x+7) inches. The area of the picture is 108 in^2. What are the length and width of the picture?
The numerical length and width of the rectangular picture are 9in and 12in respectively.
What are the length and width of the picture?Area of a rectangle is expressed as;
A = length × width
Given the data in the question;
Length = 2x -1Width = x + 7Area = 108in²To determine the numerical length and width of the rectangular picture, first plug the given values into the equation and solve for x.
A = length × width
108 = (2x -1)(x+7)
Expand
108 = 2x² + 14x - 1x -7
108 = 2x² + 13x -7
Reorder
2x² + 13x -7 = 108
2x² + 13x - 7 - 108 = 0
2x² + 13x - 115 = 0
Solve by grouping
(x-5)(2x+23) = 0
x-5 = 0, 2x+23 = 0
x = 5, 2x = -23
x = 5, x = -23/2
x = 5, x = -11.5
But the dimension cannot be negative, hence;
x = 5
Next, determine the numerical length and width.
Length = 2x - 1 = 2(5) - 1 = 10 - 1 = 9in
Width = x + 7 = 5 + 7 = 12in
Therefore, the numerical length and width of the rectangular picture are 9in and 12in respectively.
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7/20 convertir de fracción a decimal
Answer: 0.35
Step-by-step explanation:
7/20 = 0.35
0.35 x 20 = 7
What transformation carries the parallelogram below onto itself?
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
How to determine the transformation?The coordinates are given as:
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The rule of rotation by 180 degrees is
(x, y) = (-x, -y)
When the above rule is applied, we have
M(-2,3), = T(2,-3)
H(-4,-3) = A(4,3)
A(4,3) = H(-4,-3)
T(2,-3) = M(-2,3)
Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
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Rewrite 9/4 as a mixed number
Shermika practices basketball for two hours each day. Write an expression for the number of hours she practices in D days
The proportional relation that tells us how many hours she practices basketball in D days is:
H = 2*D
How to write an expression for the number of hours she practices in D days?
We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.
We want to find an expression that relates the number of hours practiced, H, in D days.
If she practices 2 hours per day, then in D days she will practice a total of:
H = 2*D
This is just a proportional relation that tells us how many hours she practices basketball in D days.
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