The price of one senior citizen ticket is $7 and the price of one child ticket is $8.
What are the linear equations that represent this question?s + 13c = 111 equation 1
12s + 9c = 156 equation 2
Where:
c = price of one child ticket s = price of one senior citizen ticket What is the price of one children's ticket?Multiply equation 1 by 12
12s + 156c = 1332 equation 3
Subtract equation 2 from equation 3
1176 = 157c
c = $8
What is the price of one senior citizen's ticket?
Substitute for c in equation 1:
s + 13(8) = 111
s = 111 - 104
s = $7
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Can you help me with this
Answer:
Step-by-step explanation:
3x + 8 = 4x + 4
-x + 8 = 4
x = 4
answer is A
A helicopter is flying over a straight highway between
two exits, A and B. The angle of depression from the
helicopter to exits A and B are 28° and 45°,
respectively. If the exits are 4 miles apart, find the
height of the helicopter
Answer:
about 1.3885 miles ≈ 7331 ft
Step-by-step explanation:
The height of the helicopter can be found using the tangent relation, which we know relates the sides and angles of a right triangle by ...
Tan = Opposite/Adjacent
__
setupWith reference to the attached diagram, the above relation can be used to find the lengths of AC and BC, which we know total 4 miles.
tan(28°) = h/AC ⇒ AC = h/tan(28°) = h·tan(90° -28°) = h·tan(62°)
tan(45°) = h/BC ⇒ BC = h/tan(45°) = h·tan(90° -45°) = h·tan(45°)
The total distance between A and B is then ...
AB = AC +BC
4 = h·tan(62°) +h·tan(45°) = h(tan(62°) +tan(45°))
solutionDividing by the coefficient of h, we have the value of h:
h = 4/(tan(62°) +tan(45°)) = 4/(1.88073 +1) ≈ 1.38854 . . . . miles
In feet, that is ...
(1.38854 mi)(5280 ft/mi) = 7331 ft
The height of the helicopter is 1.38854 miles, or 7331 feet.
Which is a set of collinear points?
A) G, H, I
B) L, H, I
C) G, H, J
D) G, I, J
Josh must submit for paintings as part of his application to art school if he has 25 to choose from how many ways can he took 4?
A marketing executive earns an annual salary of $78,300, and she contributes $6,500 per year to her 401(k) plan. If she has a required deduction for income taxes (federal, state, and local combined) of 27% of pretax income, how much is withheld in income taxes per year?
Answer:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.
Answer:
Step-by-step explanation:
With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:
78,300 - 6,500 = 71,800 (this is your new taxable value)
71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.
Is the eye color of a student in class classified as a qualities or quantitive variable
Answer:
Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.
An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then what is the total number of offices in the 10 story building?
Answer:
70 offices
Step-by-step explanation:
21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices
Find the arc length of the subtending arc for an angle of 35 degrees on a circle of radius 10.
Step-by-step explanation:
arc length = radius × central angle in radian
= 10 × (35 × π/180)^c
= 10 × ( 7π/36)
= 70π/36
= 70/36 × 22/7
= 55/9
= 6.111cm
please!!!!! mark me as brainliest
and
i hope my ans is helpful
Answer:
formula for length of an arc = 0 / 360 × 2ūr
Given , 0 = 35 , ū = 22/7 ,r =10
therefore; 35/360 × 2 x 22/7 ×10
= 6.111 or 55 /9
please Mark as brainlest
Directions: Perform the indicated operation. Write your solution in a separate sheet of paper and change your answer to lowest term if necessary.
Addition
1.)
2.)
3.)
4.)
5.)
Subtraction
1.)
2.)
3.)
4.)
5.)
paki ayos po ng sagot
SALAMAT
For addition 1.) 28 / 5 2.) 27 / 4 3.) 45 / 8 4.) 4 / 3 5.) 23 / 18
For Subtraction 1.) 27 / 5 2.) 20 / 3 3.) 23 / 6 4.) 6 / 5 5.) 16 / 3
What is addition?The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.
Addition
1.) 28 / 5
2.) 27 / 4
3.) 45 / 8
4.) 4 / 3
5.) 23 / 18
Subtraction
1.) 27 / 5
2.) 20 / 3
3.) 23 / 6
4.) 6 / 5
5.) 16 / 3
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The cosine of an angle a is 0.8. what is the value of sin (a)
Solve for x. Round to the nearest tenth, if necessary.
In a sample of 45 7th graders, 24 chose baseball as their favorites sport. If there are 528 7th graders in the school, predict the number of students who prefers baseball
1 point
11
y
Find x and y.
DO
30°
x=11√2 y = 22
x = 22 y=11√/3
x = √√√3 y = 11
Answer:
x = 22, y = 11√3
Step-by-step explanation:
Here,
x is the Hypotenuse side
y is the adjacent side.
11 is the opposite side.
Formula : -
sin θ = Opposite side / Hypotenuse side
Here,
θ = 30
Note : -
The value of sin 30 = 1 / 2
1 / 2 = 11 / x
Cross multiply,
x * 1 = 2 * 11
x = 22
By Pythagoras theorem,
11² + y² = x²
11² + y² = 22²
y² = 22² - 11²
22² = 11² x 2²
11² = 11² x 1²
y² = 11² ( 2² - 1 )
y² = 11² x ( 4 - 1 )
y² = 11² x 3
Square root on both sides,
y = 11√3
Solve the system of equations below: 4x + 6y = 32 and 3x - 6y = 3
Pls show work will give brainliest :)
Answer:
x=5 y=2
Step-by-step explanation:
3x-6y=3
3x=3+6y
x=1+2y
Substitute x for 4x+6y=32
4+8y+6y=32
4+14y=32
14y=28
y=2
3x-12=3
3x=15
x=5
Andrea picked 21 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets.
How many ounces of peaches did Andrea put in each basket?
1. 1 pound = 16 ounces
2. 21 pounds * 16 ounces = 336 ounces
3. 336 ounces ÷ 4 baskets = 84 ounces per basket
OR
1. 1 pound = 16 ounces
2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket
3. 5.25 pounds * 16 oz = 84 ounces per basket
Hope this helps!!
In the diagram below, CFED is a rectangle. If m/CFD = 12x and m/DFE = 6x, find the value of x.
Answer:
5
Step-by-step explanation:
if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.
so:
18x=90
x=5
Tia's tent is in the form of a triangular prism as shown below.
If Tia plans to waterproof the tent, excluding the base, what
is the area in which she will waterproof?
(round to the nearest hundredth)
Answer: 279.43
Step-by-step explanation:
The area of the tent that she will need to waterproof is 279.43 feet².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a tent in the form of a triangular prism as given.
We have to find the surface area of the tent excluding the base.
There are 2 triangular faces and 2 rectangular faces.
Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles
Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²
Height of the triangular face = √(8² - 4²) = √48
Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²
Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²
Hence the area of the tent is 279.43 feet².
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Simplify each expression, and classify the result as rational or irrational.
The number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
= 2√5×3√6
= 6√30
= √1080 = 32.863353450309965
The number is irrational.
= √42/√168
= 1/2
The number is rational.
= 5(4√5 - 3√5)
= 5√5
= √125 = 11.180339887498949
The above number is irrational.
= √64/32
= 1/4
The above number is rational.
= (5√3—√3)/2√3
= 2
The above number is rational.
Similarly, we can find whether a number is irrational or rational
Thus, the number 2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.
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Is this true or false?
Answer:
true
Step-by-step explanation:
What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually? TA= P (1+i)^t
Answer:
10,099.80
Step-by-step explanation:
Given: The principal amount (P)= $8,000
The rate of interest (i)= 6 % = 0.06
Time = 4 years
The formula to calculate the compound amount in x years is given by :-
Then the compound amount received by Matthew after 4 years will be:_
Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80
Answer:
$10,099.82
Step-by-step explanation:
Given formula: [tex]\sf TA = P (1+i)^t[/tex]
where:
TA = total amountP = principal amounti = interest rate (in decimal form)t = time (in years)Given:
P = $8,000i = 6% = 0.06t = 4 yearsSubstituting the given values into the formula:
[tex]\implies \sf TA=8000(1+0.06)^4[/tex]
[tex]\implies \sf TA=10099.81568[/tex]
Therefore, the total amount the Matthew's bank will receive is $10,099.82
Solve for y y/8 = 4
Answer:
32
Step-by-step explanation:
Multiply both sides by 8.
y/8 = 4
y/8 × 8 = 4 × 8
y = 32
6% of a length is 390m what is the original length
The original Length is, 6500 m.
What is the Length?Length is the term used for identifying the size of an object or distance from one point to the other.
Given that 6% of a length is 390 m
Let original length be a
Therefore, 6% of a = 390
a*6/100 = 390
a = 390*100/6
a = 6500
Hence, The original Length is, 6500 m.
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Dray collects marbles of different colour. 7/8 of his marbles are red. 2/9 of the remaining marbles are blue. How many marbles does he have in total, if the number of green marbles that he has is 14?
What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?
Answer:
123456098765432112345678900000000000000000000000987654444443221111111111122222233333333333334444444444455555555555556666666666666667777777777888888888889999999000
Step-by-step explanation:
what is the exponent of 24?
Answer:
576
Step-by-step explanation:
24 squared which means 24 multiplied by itself(24)
I hope my answer is okay
longest bridge in the world
Answer:
the Danyang–Kunshan Grand Bridge
The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)
Answer:
Danyang–Kunshan Grand Bridge
Step-by-step explanation:
What is the value of y?
Answer:
I think that answer is 65....Broo 65 or what broo...
Select from the drop-down menu to explain how to find the quotient of 4.082 and 10,000.
To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.
Answer:
Move decimal points in 726.02, 3 points in the left direction
Step-by-step explanation:
Given
Quotient of 726.02 and 1000
This is represented as:
The denominator 1000 has 3 zeros.
This implies that the decimal points will be moved in the left direction by 3 points.
So:
I’m confused on where you got the numbers from. Did you get them from the amount of full squares each shape takes up?
A square simply means a shape that has four equal sides and four equal angles.
How to illustrate the square?Your information is incomplete. Therefore, an overview of a square will be given.
A square is a quadrilateral. It's also a rectangle that has two equal length adjacent sides. The four angles are equal to 90° each and are congruent to each other.
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find the zeros f(x)=x^2+4x-12
Answer:
Step-by-step explanation:
f(x)=x2−4x−
12Set x2−4x−
12 equal to 0.x2−4x−
12
=
0
Solve for
x
.
x
=
6
,
−
2