Answers
To translate something:
⇒ is to write out the equations
Let's examine what information this problem gives us:
Mrs. Albert has $400 ⇒ Total money = 400Mrs. Albert bought two adult tickets at $62.50 each⇒ with '2' being the number of adults tickets
⇒total charge from purchasing adult tickets = 2 * 62.5 = 125
Each child ticket costs $42.5⇒ with 'x' being the number of child tickets bought
⇒total charge from purchasing child tickets = 42.5x
Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:
⇒ 42.5x + 125 = 400 <== translated form
Let's solve:
[tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]
Since we can only buy whole tickets:
Mrs. Albert could have bought at most 6 child tickets
Answer: Mrs. Albert can bring 6 kids
Hope that helps!
Related Questions
Mario borrows $620 from his parents and agrees to pay them back the same amount each month without interest. After 6 months of payments, he still owes them $320. Write a linear function to model the remaining amount over time that Francisco has to repay. Identify the slope and the y-intercept in terms of the context.
Answers
A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.
What is the linear function?A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.
Where:
x = slope b = y -interceptThe first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50
The linear function: =620 - 50x.
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[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
need answer guys
Answers
Answer:
26. c. 6 cm
27. c. 70 cm³
Step-by-step explanation:
Question 26
Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cmQuestion 27
Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³Question 28 (not entirely visible)
Solve:
1)
Find Width
10 * W * 6 = 360
W = 360/60
W = 6 cm
2)
Volume
LWH
(2)(7)(5)
70 cm³
3)
Volume
LWH
(7)(3)(4)
84 m³
Help me please help me
Answers
the answer to that is -120
Step-by-step explanation:
-120+74=-46
Answer:
k = -120
Step-by-step explanation:
k + 74 = -46
Subtract 74 from both sides:
k + 74 = -46
- 74 - 74
k = -120
Final answer: k = -120
Hope this helps!
write down all the prime numbers
Answers
Answer:
The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Step-by-step explanation:
also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry
a triangle ABC like the one below suppose that a=40, B = 62 and c= 23 (the figure is not drawn to scale) solve the triangle carry your intermediate computations to at least four decimal places , and round your answers to the nearest tenth . if there is more than one solution , use the button labeled "or"
Answers
Answer:
Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
a = 34 ; b= 53; c = 74
Substituting the given values in the cosine law, we have
34² = 53² + 74² - 2*53 *74 * cos A
7844 cos A = 2809 + 5476 - 1156 = 7129
cos A = 7129/7844 = 0.9088
A = cos⁻¹ (0.9088) = 24.6600° = 24.7°
53² = 74² + 34² - 2 (74)(34) cos B
5032 cos B = 5476 + 1156 - 2809 = 3823
cos B = 3823/5032 = 0.7597
B = cos⁻¹ (0.7597) = 40.5622° = 40.6°
Also, A + B + C = 180°
24.7 + 40.6 + C =180
C =180 - 65.3 = 114.7°
∴ A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Im not sure if it is right. But hope it helps
how do u find the surface area of all the prisms?
Answers
please help me with this
Answers
Answer:
In the explanation
Step-by-step explanation:
AB = line segment
ABC = angle
AB = line segment
CD = intersecting line
AC = line segment
AB = line segment
EBC = angle
BC = line segment
como resolver
(-2 )² x (-2 )³
aplica propiedades de la potenciación en este caso seria potencia de un producto
Answers
Answer:
-32
Step-by-step explanation:
-2^2 is 4
-2^3 is -8
So 4•-8
=-32
Hope this helps. Brainliest would be appreciated.
What is the sum? startfraction x over x 3 endfraction startfraction 3 over x 3 endfraction 2 over x 3 endfraction five-thirds startfraction x 5 over x 3 endfraction startfraction x 5 over 3 x 27 endfraction startfraction 6 x over x 3 endfraction
Answers
The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
How to determine the sum?The expression is given as:
[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]
Take the LCM of terms of the expression
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]
Evaluate the quotient of x + 3 and x + 3
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]
Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
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Anyone know the value of x for these
Answers
3) 12
4) 6
Explanation: To find X, you can use the OW OW trick. OW = Outside, Whole.
For 3, the setup would be:
8(18) = x^2
144 = x^2
12
For 4, the setup would be:
5(8)=4(4+x)
40=16 + 4x
16 = 16 + 4x
24 = 4x
24/4 = 6
A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?
Answers
18-12 is 6 then add 45 to it, it’s obviously 51 foot this is 3rd grade math
Emilia has a pencil box that is 12 inches long, 5 inches wide, and 3 inches tall. Richard's pencil box is 8 inches long and 5 inches wide, but it is twice as tall as Emilia's pencil box. How many cubic inches larger is Richard's pencil box than Emilia's pencil box?
Answers
Answer:
Twice as large, or 180 cubic inches more
Step-by-step explanation:
To find the volume/ cubic inches of Emilia's pencil box, multiply base x width x height.
12 · 5 · 3 = 180
Do the same with Richard's pencil box, but multiply the height by 2
12 · 5 · 3(2) = 360
Subtract 180 from 360 to get 180.
Richard's pencil box is 180 cubic inches larger than Emilia's
Hope this helps!
Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.
Answers
The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2
How to determine the equation of the graph?The equations are given as:
y = x^2 - 4
y = 4 - x^2
When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:
Zeros = -2 and 2
Because the upper x-axis is open upwards, the equation of the graph is:
y = -(x - zeros)
So, we have:
y - (x - 2)(x + 2)
Evaluate
y = 4 - x^2
Hence, the equation of the upper part is:
y = 4 - x^2; -2 < x < 2
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Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =
Answers
The value of uv to the nearest tenth or as an integer is 3.1 units
How to find side of a right triangle?uv is the adjacent side of the right triangle.
uv can be found using trigonometric ratios as follows:
Therefore,
tan 63 = opposite / adjacent
Hence,
tan 63 = 6 / adjacent
cross multiply
uv tan 63 = 6
divide both sides by tan 63
uv = 6 / tan 63
uv = 6 / 1.96261050551
uv = 3.05716906145
uv = 3.1 units
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A fish is at 125 m below the sea level it rises 56m, then dives
48m and then rises 25m again. Find the fish’s position from the
sea level
Answers
Step-by-Step Explanation:
Fish is at => 125m below sea level
It rises => 56m
Therefore, Fish is now at:
= 125 - 56 = 69m below sea level
It dives => 48m
Therefore, Fish is now at:
= 69 + 48 = 117m below sea level
It rises => 25m
Therefore, Fish is now at:
= 117 - 25 = 92m below sea level
The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?
Answers
X-y=7.4
X+y=23
y=23-X
X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8
X+y=23
X+7.8=23
X=15.2
Therefore the two numbers are 7.8 & 15.2
Which biconditional statement is NOT true?
Answers
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.
What is a Biconditional Statement?A biconditional statement is one of the logical statements that contain the words "if and only if."
A biconditional statement is true for p ⇔ q provided that both p and q have an exact truth value, and it is false if otherwise.
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides. For a triangle to be equilateral, it is supposed to have three equal angles and three equal sides.
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Answer:
A quadrilateral is rectangle if and only if it has at least two right angles
Step-by-step explanation:
IMAGINE mATH!
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
(h – k)(3) =
Evaluate 3h(2) + 2k(3) =
.
Answers
so (h+k)(2) assuming it is a function
= 4 + 2 - 1
= 5
(h+k)(3) = 9 + 3 - 1
= 11
3h(2) = 3*(4+1)
= 15
2k(3) = 2*(1) = 2
so 3h(2) + 2k(3) = 15 + 2
= 17
Please, try to answer quickly Due in 1 hr!
Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit follow the example below and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24 (2 points: 1 point for each row)
The previous chart from question 2 is below. The chart I am trying to fill out is the bigger one That has the above question written on the picture.
All other times this question has been asked it has gone unanswered or with incorrect and incomplete answers please answer the question no matter how old it is because even if I have figured it out someone else can get help from this.
Answers
The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.
How to convert the value of temperature?In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:
F(t) = 9/5C(t) + 32
When t = 12, we have:
F(t) = (9/5 × 12) + 32
F(t) = 21.6 + 32
F(t) = 53.6°F.
When t = 24, we have:
F(t) = (9⁄5 × 24) + 32
F(t) = 43.2 + 32
F(t) = 75.2°F.
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A convoy must carry 44 tons of goods. Because there are 3 trucks that are assigned to other jobs, each of the remaining trucks has to carry an additional 1.5 tons. How many cars did the group have at the beginning? (Know that each truck carries the same number of goods).
please help me!!
Answers
Does anyone know how to do this please help
Answers
Step-by-step explanation:
the photo should explain
Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.
Answers
To find the area of the circle:
⇒ need to know the formula: [tex]\pi r^{2}[/tex]
r: radius or half of diameter's length ⇒ 7 metersLet's calculate:
[tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]
The problem asks us to round to the nearest hundreth:
[tex]Area = 153.94m^3[/tex]
Answer: [tex]153.94m^3[/tex]
Hope that helps!
Some newer phones provide a screen time summary, which shows the amount of screen time for a user in a given week. A student would like to estimate the mean screen time for all phone users. She asks a random sample of 50 students at her school to share their screen time for the past 24 hours. The mean screen time for the chosen students is 2.73 hours. Which statement is an appropriate interpretation of the results?
A.)All students probably have screen times close to 2.73 hours.
B.)To obtain a better estimate of mean screen time, more students should be surveyed.
C.)Because of undercoverage, 2.73 likely underestimates the mean screen time of all phone users.
D.)2.73 hours is a suitable estimate for mean screen time of all phone users because a random sample was taken.
Answers
Answer:
c
Step-by-step explanation:
got it right on edge
the factory makes light bulbs the probability that a bulb is defective is 1/15 if 300 light bulbs are tested about how many are expected to be defective
a 20
b 66
c 15
d 30
Answers
so the answer is 20 light bulbs
300x1 = 300
300/15 = 20
Need help asap
the garcia family has a monthly car loan payment of $400, and their average monthly credit card bill is $4,800. mr. garcia
is also paying $1,000 per month to support his elderly parents. compute the back-end ratio to the nearest percentage.
type the correct answer in the box. use numerals instead of words.
Answers
Answer:
70%
Step-by-step explanation:
A 13-foot ladder is leaning against a building, forming a right triangle.
The height where the ladder touches the building is seven feet more
than the distance from the base of the ladder to the building. At what
height does the ladder touch the building?
Answers
The height from the ground at which the ladder touched the building is 12feet.
What is a right-angled triangle?A right-angled triangle is a type of triangle that has three sides and one of its three angles as 90°.
Analysis:
The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.
let x, be the distance from the foot of the building to the foot of the ladder.
x+7 = height of ladder from building to foot of building.
length of ladder = 13 feet
using Pythagoras, we have
[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]
169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49
169 = 2[tex]x^{2}[/tex] + 14x + 49
2[tex]x^{2}[/tex] + 14x = 169-49
2[tex]x^{2}[/tex] + 14x = 120
divide through by 2
[tex]x^{2}[/tex] + 7x - 60 = 0
[tex]x^{2}[/tex] +12x -5x - 60 = 0
(x+12) -5(x+12) = 0
(x+12)(x-5) = 0
x = -12 or 5
Since measurement cannot be negative, therefore x = 5
Height the ladder touches the building is x+7 = 5+7 = 12 feet
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Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answers
Answer:
See below ~
Step-by-step explanation:
Question 3 : (x, y - 5)
K' = (-3, 2 - 5) = (-3, -3)L' = (1, 4 - 5) = (1, -1)M' = (-1, 0 - 5) = (-1, -5)N' = (-5, -2 - 5) = (-5, -7)Question 4 : (x + 4, y + 1)
D' = (-4 + 4, 3 + 1) = (0, 4)E' = (0 + 4, 2 + 1) = (4, 3)F' = (-2 + 4, -6 + 1) = (2, -5)G' = (-6 + 4, -5 + 1) = (-2, -4)Factor this trinomial
X^2 + 3x - 4
Answers
Answer:
(x - 1)(x + 4)
Step-by-step explanation:
What multiplies to (-4) but adds to (3)?
These two values are (4) and (-1). Therefore, these are the values that make up the factored trinomial.
x² + 3x - 4 -----> (x - 1)(x + 4)
You can check your answer by expanding the factors. This is done by multiplying each term within the first parentheses by each term within the second parentheses.
(x - 1)(x + 4) -----> x² - 1x + 4x - 4 -----> x² + 3x - 4
An equilateral triangle has all sides the same length and all angles the same measure.
Which is the measure of one angle of an equilateral triangle?
30°
45°
60°
90°
Answers
Let measure of each angle be x
In triangle , we know that sum of angles is 180°
In equilateral triangle , all angles are equal
So our angles are x , x , x
=> x + x + x = 180°
=>3x= 180°
=> x = 180/3
=> x = 60°
Option 3 is correct
Hope this explanation helps you :)
Have a good day :)
Which expression is equivalent to the one that is modeled?
Answers
Answer:
What are the equivalent expressions?
Two expressions are said to be equivalent if they have the same value regardless of the value of the variable(s) in them.
Step-by-step explanation: