Answer:
Let's call the price of a student ticket "s" and the price of an adult ticket "a".
From the first day's sales, we know that:
3s + 1a = 38
From the second day's sales, we know that:
3s + 2a = 52
We can use these two equations to solve for "s" and "a".
First, we'll use the first equation to solve for "a":
3s + a = 38
a = 38 - 3s
Next, we'll substitute this expression for "a" into the second equation:
3s + 2(38 - 3s) = 52
Simplifying and solving for "s", we get:
3s + 76 - 6s = 52
-3s = -24
s = 8
So the price of a student ticket is $8.
We can substitute this value back into the first equation to solve for "a":
3(8) + a = 38
24 + a = 38
a = 14
So the price of an adult ticket is $14.
What is 521.3215 rounded to the nearest hundredth
Answer:521.32
Step-by-step explanation:
.3 represents your tenths
the 2 in .32 represents your hundredths
to round, you look at the number next to your two on the right which is 1
since 1 is less than 5 you leave it the same and eliminate the rest of the numbers that follow it
Brainliest for correct answer
Answer:
D
Step-by-step explanation:
2ft×6ft=12ft
12ft÷2=6
6×2=12ft for the two triangles
6×4=24ft for the rectangle
24ft+12ft= 36 square feet
so it's D 36 square feet
Answer:
[tex]\huge\boxed{\sf 36 \ ft.\²}[/tex]
Step-by-step explanation:
Given that,
Base = 2 + 4 = 6 ft.
Height = 6 ft.
Area of parallelogram:= Base × Height
= 6 × 6
= 36 ft.²[tex]\rule[225]{225}{2}[/tex]
Whats the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
9 = 3 x 3
Explanation:
Brainliest for correct answer
Answer:
b.40.3 ft2 is the answer hope it helps u u u BRAINLIST
Answer:
D. 41.7 ft.^2
Step-by-step explanation:
rectangle area: 5.2 x 6= 31.2
triangle area: (6 x 3.5)/2=10.5
31.2+10.5= 41.7
There are nine balls in an urn. They are identical except for color. Three are red, five are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.
(a)
Make a tree diagram to show all possible outcomes of the experiment.
(b)
Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.)
P(R, R) =
P(R, B) =
P(R, Y) =
P(B, R) =
P(B, B) =
P(B, Y) =
P(Y, R) =
P(Y, B) =
Answer: Diagram (B)
We have a total number of balls in the urn =9
Let us denote the red ball as R = 4
A doctor orders a prescription that has a recommended dosage of 5 mg/lb every 12 hours. Our supply of the drug is a 0.9 g/mL solution. The patient is 72.7 kg. How many mL of the solution should we use for each dose?
The doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.
What is the density?
Density is a physical property of matter that measures the amount of mass per unit volume. It is calculated by dividing the mass of an object or substance by its volume. The resulting number represents the amount of matter, or mass, that is present in a given volume.
The formula for density is:
Density = Mass / Volume
First, we need to convert the weight of the patient from kilograms to pounds, as the recommended dosage is in mg/lb:
72.7 kg x 2.205 lbs/kg = 160.305 lbs
The recommended dosage is 5 mg/lb, so for a 160.305 lbs patient, the total dosage per dose would be:
160.305 lbs x 5 mg/lb = 801.525 mg
Now we need to convert this dosage from mg to mL, using the concentration of the solution, which is 0.9 g/mL:
1 g = 1000 mg, so 0.9 g = 0.9 x 1000 = 900 mg
To convert mg to mL, we can use the density formula:
Density = Mass / Volume
Rearranging the formula to solve for volume, we get:
Volume = Mass / Density
So, the volume of solution needed for each dose would be:
Volume = 801.525 mg / 900 mg/mL
Volume = 0.8906 mL
Hence, the doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.
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Write the fraction as a sum of fractions three ways 7/10
First three sum 1/10 + 2/10 + 4/10 Proof: When the numbers in the denominator have the same value, fractions can be compute only with the sum of numerator values and the denominator doesn’t change. 1/10 + 2/10 + 4/10 = 1+2+4 / 10 = 7/10 Second three sum 1/10+1/5 + 2/5, Proof: such kind of fractions can be computed as follows: 1/10 + (1+2 )/5 (same denominators). 1/10 + (1+2 )/5= 1/10 + 3/5= 5x1 +10x3 / 5x10 = 5+30 /50 =35/50, by simplifying by 5, 35/50=7/10 The third three sum is 5/10+ 3/15+8/20,it can be computed by using the same method as given above
Hope it helps
Yayayayayayayavpleas e help
Answer:
<1 and <2 - Add to 180
<1 and <3 - Equal
<3 and <4 - Add to 180
<2 and <4 - Equal
Step-by-step explanation:
No such step-by-step explanation, but we can reason with theorems.
The Vertical Angle theorem states: the opposing angles of two intersecting lines must be congruent, or identical in value.
The Linear Pair theorem states: If two angles form a linear pair, then the measures of the angles add up to 180°.
<1 and <2
<3 and <4
These angle pairs criteria make them apply to the Linear Pair theorem. Therefore, when a pair of angles are a linear pair, they add up to 180.
<1 and <3
<2 and <4
These angle pairs' criteria make them apply to the Vertical Angle Theorem. Therefore, when a pair of angles are vertical angles, they will be congruent (equal, have the same measure).
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Electric current measures (in amperes or amps) the flow of electrons through wires. Like traffic flow, the current entering an intersection of wires must equal the current leaving it. Here is an
electrical circuit known as a Wheatstone bridge.
By measuring z, we can determine x, y, and w.
By measuring w, we can determine x, y, and z.
X
ASK YOUR TEACHER
(a) If the currents in two of the wires are a 18 amps and b-9 amps as shown, determine the currents in the other wires in terms of suitable parameters. (If there is no solution, enter NO
SOLUTION. If the system is dependent, express your answer using the parameters x, y, z, and/or w.)
(x, y, z, w) -
(b) Using the information obtained in part (a), in which wire should you measure the current in order to know all of the currents exactly? (Select all that apply.)
By measuring x, we can determine y, z, and w.
By measuring y, we can determine x, z, and w.
Need Help?
Read t
PRACTICE ANOTHER
Answer:
Step-by-step explanation:
(a) Since the current entering and leaving the intersection of wires must be equal, we have:
x + y = 18 (current entering the top intersection)
z + w = 18 (current leaving the top intersection)
x + z = 9 (current entering the bottom intersection)
y + w = 9 (current leaving the bottom intersection)
We can solve this system of equations using substitution or elimination. For example, we can eliminate w by adding the first two equations and subtracting the last two equations:
2x + 2y + 2z = 36
2y + 2z - 2x = 0
2z - 2x = 9
Solving for z in terms of x, we get:
z = (x + 9/2)
Substituting this into the first equation, we get:
x + y = 18
Substituting z in terms of x into the second equation, we get:
w = (18 - z) = (18 - x - 9/2) = (27/2 - x)
Therefore, the solution in terms of x, y, z, and w is:
(x, y, z, w) = (x, 18 - x, x + 9/2, 27/2 - x)
(b) To know all of the currents exactly, we need to measure the current in any one wire that is not already determined by the system of equations. From part (a), we see that w is determined in terms of x, y, and z. Therefore, we should measure the current in wire x or y to know all of the currents exactly.
4/5 is greater, less than, or equal to 8/10?
Answer: 4/5 is equal to 8/10
Step-by-step explanation:
Brainliest for correct answer
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * b * h. 1/2 * 9 * 2; 9 * 1 = 9.
Area of a rectangle is two triangles, so b * h. We use the same base and height from the triangle. b * h; 9 * 2 = 18.
So the correct answer would be C. Hope this helps.
Solve this system of equations for x using the addition method. (Must show steps of addition method to get credit. Do not solve using the substitution method. )
hi
here is the answer
i hope it helps
good luck:))
what is 2x32+5x20,ωωωωωω,,,,,,,,,,
Answer:
164
Step-by-step explanation:
1. Find the average of 16, 50, 14, 20 and 40.
Answer:
28
Step-by-step explanation:
you add up all the numbers and divide by the number of numbers there is
16+50+14+20+40=140
140/5=28
Evaluate the expression 1/3x2 For x=6
The value of the expression 1 / 3x² when x equals 6 is 1/108.
What is the value of the expression when x equals 6?Given the expression in the question;
1 / 3x²
When x = 6, value of expression = ?
The expression 1 / 3x² is a mathematical formula that involves the variable "x".
When we substitute x = 6 into the expression, we are asked to calculate the value of the expression when x is equal to 6.
To evaluate the expression, we simply substitute x = 6 into the expression and simplify:
1 / 3x²
Plug in x = 6
1 / 3(6)²
Raise 6 to the power of 2 and get 36
= 1/(3 × 36)
= 1/108
Therefore, the value of the expression is is 1/108.
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Evaluate the following piece wise function.
Find the following values:
F(4) =
F(-10) =
F(0) =
F(-5) =
13/4 is the value of x in function .
What exactly are function and example?
A function is a type of rule that produces one output from one input. This is illustrated by the equation y=x2. You only get one output for y if you enter anything for x.
Considering that x is the input value, we would state that y is a function of x.
f(x) = { 5; x< 1 }
{ -1/2x + 4 ; x≥ 1 }
f(4) = { -1/2 * 4 + 4 }
= { -2 + 4 }
= { 2 }
f( -10) = { -1/2 * -10 + 4 }
= { 5 + 4 }
= 9
f(0) = { -1/2 * 0 + 4 }
= { 0 + 4}
= 4
f(-5) = ( -1/2 * - 5 + 4 )
= 5/2 + 4
= 13/4
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Dividing integers. Question: A football team was penalized 30 points in 3 plays. Suppose the team was penalized an equal number of yards on each play. Write an integer that gives the yards for each penalty.
Answer:
The team was penalized 10 yards on each play.
amy and Brian want to fence in a circular portion of there backyard for a play space for their children. determine the area of the largest portion of the yard they can with 90 feet of fencing
The largest portion of the yard they can fence in with 90 feet of fencing has an area of 2025/π feet².
Explain area of circular portion?
The area of a circular portion is the amount of space within the boundary of the circular shape. It is given by the formula A = πr², where r is the radius of the circle.
Now,
To determine the area of the largest portion of the yard, we need to find the radius of the circular portion.
The circumference of a circle is 2πr. Since they have 90 feet of fencing, we can write:
90 = 2πr
Solving for r, we get:
r = 45/π
The area of the circular portion is given by the formula A = πr². Substituting r, we get:
A = π(45/π)² = 2025/π feet²
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Determine the domain and range
Step-by-step explanation:
To determine the domain and range of (g f) (x), we first need to find the composition of the functions f(x) and g(x):
(g f) (x) = g(f(x)) = g(2/(x^2-1)) = 2/(x^2-1) + 1
The domain of f(x) is all real numbers except x = -1 and x = 1, since these values would make the denominator equal to zero. Therefore, the domain of (g f) (x) is also all real numbers except x = -1 and x = 1.
To find the range of (g f) (x), we can start by finding the range of f(x). Since the denominator of f(x) is always positive (except at x = -1 and x = 1), the range of f(x) is all real numbers except 0.
When we add 1 to f(x), we shift the range of f(x) up by 1 unit. So, the range of (g f) (x) is all real numbers except 1.
Therefore, the domain of (g f) (x) is all real numbers except x = -1 and x = 1, and the range of (g f) (x) is all real numbers except 1.
Option B
in the poem hiawatha where did she grow up
Answer: Along the shores of Gitche Gumee
Tan (30,000)
5. One of the steepest streets in the United States is the 500 block of Highland Drive on Queen
Ann Hill in Seattle. If you measure horizontally 70 centimeters from a point on the road
surface, you must go down 14.2 centimeters to get back to the surface. What angle does
Highland Drive make with the horizontal?
A
14.2
=(80)
70
O
tant = 70
14.2
0=78.5%
112.455 =X
(cv) mot
P. Joj
Therefore , the solution of the given problem of trigonometry comes out to be forms an angle with the horizontal of about 11.71 degrees.
A Trigonometry is what?A relationships between cubic splines and triangle maths astrophysics is believed to have been created when the various fields came together. Many metric problems can be solved or the results of their calculation can indeed be determined with the help of precise mathematical methods. Trigonometry is the study of six basic trigonometric calculations. .
Here,
The tangent function, which is referred to as the ratio of the opposite side (the height drop) to the adjacent side, can be used to determine the angle that Highland Drive forms with the horizontal (the horizontal distance).
The angle's tangent in this situation can be written as:
=> tan(θ) = adjacent/opposite = 14.2/70
We can use a computer to determine that the angle's tangent is roughly 0.2029.
By taking the inverse tangent (also referred to as the arctangent) of this number, we can determine the angle itself:
=> 11.71 degrees are equal to theta = arctan(0.2029)
Highland Road thus forms an angle with the horizontal of about 11.71 degrees.
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QUESTION 9
Consider the following argument: If Benji's parents buy him a puppy for Christmas, he learns important care-giving skills.
Benji learns important care-giving skills. So, Benji's parents buy him a puppy for Christmas. What is the logical form of
this argument?
O a. Modus Ponens
O b. Hypothetical Syllogism
O c. Disjunctive Syllogism
O d. Denying the antecedent
O e. Affirming the consequent
e. Affirming the Consequent. The argument takes the form of "If P then Q. Q, therefore P."
What is Consequent?Consequent is an outcome or result of an event, action, or decision. It is the result of a cause or premise. Consequents are usually expected and predictable, and can be measured or observed. Consequents are important in the study of cause and effect relationships and can be used to determine the success or failure of certain actions. Consequents can also be used to measure the degree of success or failure of certain objectives. Consequents are often used in decision-making, as well as in research and problem-solving, to help determine the best course of action and the best solution.
In other words, the conclusion (Benji's parents buy him a puppy for Christmas) is based on the premise that Benji learns important care-giving skills.
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Find the remaining sides of a 45°-45°-90° triangle if the longest side is 4. Answer exactly.
Answer:
each of the other sides is 2√2 = 2.8284
Step-by-step explanation:
A 45°- 45°-90° triangle is also known as a right isosceles triangle because two of the legs are the same as two of the angles are the same at 45°
If a is the length of one of the legs then the hypotenuse, h, which is the longest side is given by the equation
[tex]h = \sqrt{a^2 + a^2}\\\\h = \sqrt{2a^2}\\\\h = a \sqrt{2}[/tex]
Or, dividing by √2 on both sides,
[tex]\dfrac{h}{\sqrt{2} }= a[/tex]
Given h = 4
[tex]a =\dfrac{ 4}{\sqrt{2}} = \dfrac{2\cdot2}{\sqrt{2}} = 2\sqrt{2} \quad\quad\quad(since $\dfrac{2}{\sqrt{2}}$ = \sqrt{2}})[/tex]
a = 2√2 = 2.8284
So each of the other sides is 2√2 = 2.8284
How much would 3 computers, 6printers, and 30 cd’s cost ?
The total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
What is cost?Cost is the amount of money that must be paid for goods or services. It can refer to the price of a single item, the total expense of a purchase, or the amount of money paid for a particular service. Cost is an important factor in calculations such as profit, budgeting, and pricing. It is also a factor in determining the value of goods and services when comparing different providers.
The total cost of 3 computers, 6 printers, and 30 CD's would depend on the type of products you are looking to purchase. Computers will vary in price depending on the make and model, as well as the features included. For example, a basic laptop might cost anywhere from $200 to $400, while a high-end gaming laptop could cost upwards of $2,000. Similarly, printers also vary in price depending on the features and type, ranging from $50 to $500. CDs can cost anywhere from $0.50 to $7.00 each, depending on the type and quality.
Therefore, the total cost of 3 computers, 6 printers, and 30 CD’s will depend on the specific combinations of each type of product. However, as an estimate, you can expect to pay anywhere from $1,000 to $4,000 depending on the quality of the products you purchase.
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SOLUTION
Which ratio is equivalent to 3 : 18?
Answer:
6:36
this is when you time both by 2.
The ratio is equivalent to 3:18 is 7:42.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 3:18
= 1:6
1. 6:21
= 3:7
2. 5:20
= 1:4
3. 7:42
= 1:6
4. 12:2
= 6:1
Hence, the ratio is equivalent to 3:18 is 7:42.
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10. Let's simplify = 3³- 3²-3.
Answer:
15.
Step-by-step explanation:
Given: simplify 3³- 3²-3
First, write the equation:
3³- 3²-3
Then using BODMAS, complete the 'power of' numbers:
27 - 9 - 3
Then subtract 27 from 9:
18 - 3
Finally subtract 18 from 3:
= 15
[tex] \: [/tex]
Solution:-[tex] \sf \: 3³ - 3² - 3[/tex][tex] \: [/tex]
[tex] \sf \: 27 - 9 - 3[/tex][tex] \: [/tex]
[tex] \sf \: 18 - 3[/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \sf{ \color{orange} \: 15 \: }}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
Write the pair of fractions has a pair of fractions with the common denominator 1/3 and 3/4
Answer:
4/12 and 9/12
Step-by-step explanation:
Given the probability histogram pictured for a discrete random variable X, what is μx?
Histogram with x-axis labeled X with scale from 0 to 5, y-axis labeled P(X) with scale from 0 to 0.5 with five bars. Bar 1 height is 0.3, bar 2 height is 0.45, bar 3 height is 0.05, bar 4 height is 0.1, bar 5 height is 0.1.
1.5
1.85
2.1
2.25
2.5
Answer:
2.25
Step-by-step explanation:
A daycare center has a weekly revenue of $18,000. The daycare director has created a monthly budget using the following percentages for expenses:
Sorry but I think the question is not completed, can you reupload the question properly? I'll answer it
15. [-/6.67 Points] DETAILS
AUFINTERALG9 4.4.019.
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A carpenter purchased 50 ft of redwood and 90 ft of pine for a total cost of $292. A second purchase, at the same prices, included 90 ft of redwood and 70 ft of pine for a total cost of
$406. Find the cost per foot of redwood and of pine.
redwood
dollars per foot
pine
dollars per foot
The cost per foot of redwood is $42.37, and the cost per foot of pine is $90.65.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Let's use the variables r and p to represent the cost per foot of redwood and pine, respectively.
From the first purchase, we can set up the following system of equations:
50r + 90p = 292 (equation 1)
90r + 70p = 406 (equation 2)
To solve for r and p, we can use the method of substitution. Solving equation 1 for r, we get:
r = (292 - 90p) / 50
Substituting this expression for r into equation 2, we get:
90[(292 - 90p) / 50] + 70p = 406
Multiplying both sides by 50 to clear the fraction, we get:
162 - 27p + 70p = 4060
Combining like terms, we get:
43p = 3898
Dividing both sides by 43, we get:
p = 90.65
So the cost per foot of pine is $90.65.
To find the cost per foot of redwood, we can substitute this value of p into equation 1 and solve for r:
50r + 90(90.65) = 292
50r = 2118.5
r = 42.37
So the cost per foot of redwood is $42.37.
Therefore, the cost per foot of redwood is $42.37, and the cost per foot of pine is $90.65.
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