Answer:
STUDENT TICKETS SOLD = 439ADULT TICKETS SOLD = 375814 - 64 = 750
750 ÷ 2 = 375
375 + 64 = 439
The problem can be solved by setting up two equations based on the given information, substituting one equation into the other, and then solving for the variable. In this case, 375 adult tickets were sold.
Explanation:The subject of this problem is mathematics, particularly a class of problems known as linear equations. Let's assign variables to each type of ticket: A for the number of adult tickets and S for the number of student tickets.
According to the problem, S = A + 64 (because there were 64 more student tickets sold) and S + A = 814 (because a total of 814 tickets were sold).
With these two equations, you can substitute the value of S from the first equation into the second equation. Therefore, (A + 64) + A = 814. Simplify this to get 2A + 64 = 814.
To find the number of adult tickets, solve the simplified equation for A. Subtract 64 from both sides to get 2A = 750, and then divide by 2 to find that A = 375.
So, 375 adult tickets were sold.
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the sum of 80 and 7
Answer:
87
The drawing will help
Answer:
87
Step-by-step explanation:
The smaller rectangle is a 1/4-scale drawing of the original figure.
Use the drop-down menus to show the missing dimensions of the scaled figure.
Answer:
l = 48(1/4) = 12 cm
w = 20(1/4) = 5 cm
Length: 48 cm
Width: 20 cm
The length of the smaller rectangle is 12 cm, which is one-quarter of the length of the original figure. Therefore, the length of the original figure is 12 cm * 4 = 48 cm.
The width of the smaller rectangle is 5 cm, which is one-quarter of the width of the original figure. Therefore, the width of the original figure is 5 cm * 4 = 20 cm.
what expression shows a way to find 20% of 950?
The expression that can be used to find 20% of 950 is 20/100 × 950
How to write percentage expressions?20% of 950
= 20/100 × 950
= 0.2 × 950
= 190
Therefore, the 20% of 950 is given by 190
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To find 20% of 950, you use the formula (Percentage / 100) × Whole. By applying the formula, 20% of 950 is calculated to be 190.
To find 20% of 950, you can use the formula for finding a percentage of a number:
Part = (Percentage / 100) × Whole
In this case, the percentage is 20 and the whole is 950. Now apply the formula:
Part = (20 / 100) × 950
Part = 0.2 × 950
Part = 190
Therefore, 20% of 950 is 190.
What is the best approximation of the solution to the system to the nearest integer values?
(7, 1)
(7, 0)
(1, 7)
(0, 6)
Graph of a system of linear equations. Equation 1 is x minus y equals negative 6. Equation 2 is 5x plus 3y equals 24.
Answer:
OPTION C: (1,7)
Step-by-step explanation:
The two equations are:
[tex]$ x - y = -6 \hspace{25mm} ....(1) $[/tex]
[tex]$ 5x + 3y = 24 \hspace{25mm} ...(2) $[/tex]
To solve these two equations, multiply (1) by 5 and subtract (1) and (2).
Therefore, we get the value of y.
[tex]$ y = \frac{54}{8} $[/tex]
This is approximately equal to 7.
Substituting y = 7 in (1), we get x - 7 = -6
⇒ x = -6 + 7
∴ x = 1
So, we say the approximate solution to the equations is: (1,7).
In other words, the two lines meet approximately at (1,7).
Answer:
(1,7)
Step-by-step explanation:
I took the k12 test And got it right.
1/4z-2/7=5/7 what is z
Answer:
z=4
Step-by-step explanation:
1/4z-2/7=5/7
1/4z= 5/7+2/7
1/4z=1
z=4
Given: △AKM, KD ⊥ AM , AK = 6, KM = 10, m∠AKM = 93º Find: KD
Final answer:
To find the length of KD in ΔAKM, where KD is perpendicular to AM, and given AK = 6, KM = 10, and m∠AKM = 93º, we use trigonometry. Using the sine function, we determine that KD ≈ 9.99.
Explanation:
The question is about finding the length of KD, where KD is perpendicular from K to AM in triangle AKM, given AK = 6, KM = 10, and the measure of angle AKM is 93º. To solve this, we can use trigonometry, specifically the functions related to a right-angled triangle.
Since KD is perpendicular to AM, ΔAKD is a right-angled triangle at D. We can use the sine function, which is defined as the ratio of the length of the opposite side to the hypotenuse. In this case, α = m∠AKM, opposite = KD, and hypotenuse = KM.
Therefore, sine(α) = opposite/hypotenuse = KD/KM. Since we know that sine(93º) ≈ 0.999, KM = 10, we can find KD by rearranging the equation: KD = KM × sine(93º). Substituting the values gives KD = 10 × 0.999 ≈ 9.99.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Mrs. Miller sells a house for $179,000. If she earns a commission of 6%, how much money does she earn? Write a proportion and show your work.
Please check my work.
I think that my answer would still be the same because $179,000
- 6%
-----------------------
$179,000
Answer:
The amount of money which she earn as commission after selling the house is $ 10,740 .
Step-by-step explanation:
Given as :
The selling price of the Mrs. Miller house = $ 179, 000
The percentage of commission which she earn = 6 % of the selling price
Let the amount of money she earn = $ x
Now, According to question
The amount of money she earn = 6 % of the selling price of house
I.e the amount of money she earn = [tex]\frac{6}{100}[/tex]×$ 179,000
Or, the amount of money she earn = 6 × 1790
∴ The amount of money which she earn as commission = $ 10,740
Hence The amount of money which she earn as commission after selling the house is $ 10,740 . Answer
Mrs. Miller earns a commission of $10,740 on selling a house for $179,000.
Explanation:To solve this problem, we need to calculate 6% of $179,000. The commission amount can be found by multiplying $179,000 by 6% (or 0.06). So, the commission earned by Mrs. Miller would be $179,000 * 0.06 = $10,740. Therefore, Mrs. Miller earns $10,740 as her commission.
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2. A magazine ad states that 4 out of 7 doctors
recommend Flash toothpaste. If 1400 doctors were
surveyed, how many doctors recommended Flash
toothpaste?
Answer:
800
Step-by-step explanation:
Answer:
x = 800
Step-by-step explanation:
This is a ratio problem.
4 / 7 = x / 1400
Cross multiply to get 7x = 5600.
Now divide both sides by 7 in order to isolate x.
x equals 800
Hope this helps you :)
what is 33/p=3/28
Solve the proportion
Answer:
280
Step-by-step explanation:
you multiply 10 to 33 and that is p
Answer:
p=308
Step-by-step explanation:
33/p=3/28
cross product
p*3=33*28
3p=924
p=924/3
p=308
y+4/12 – y–1/12 = y/2
The value of "y" is 3
Solution:Given that,
[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]
We have to solve for "y"
Let us simplify the given expression and solve for"y"
[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]
On cross multiplication in L.H.S we get,
[tex]\frac{12 y+4-12 y-1}{12}=\frac{y}{2}[/tex]
Cancelling denominator 12 from both sides, we get
12y + 4 -12y - 1 = y
Again cancelling +12y and -12y we get
4 - 1 = y
y = 3
Thus the value of "y" is 3
A landscaper charges customers a one time fee and an hourly rate of $25. For 3 hours of work, it charges $95
- I need the identity point in the scenario
- Write the equation in point-slope form
- write the equation in slope-intercept form
- Write the equation in standard form
Answer:
C = 20 + 25h ..... Required identity
(C - 20) = 25(h - 0) ..... Point-slope form
C = 25h + 20 ..... Slope-intercept form.
25h - C = - 20 .... Standard form.
Step-by-step explanation:
A landscaper charges customers a one time fee and an hourly rate of $25.
If for 3 hours of work, it charges $95.
Then, C = C' + 25h ......... (1)
Where C is the total charge, C' is the fixed charge and h is the number of hours he works.
Therefore, putting C = $95 and h = 3, we get from equation (1),
95 = C' + 75
⇒ C' = 20
Therefore, the equation (1) becomes C = 20 + 25h
Hence, this is the identity in the scenario. (Answer)
Now, the point-slope form of the equation is (C - 20) = 25(h - 0)
where slope is 25 and the point is (0,20).
Now, C = 25h + 20
is the slope-intercept form having slope 25 and y-intercept 20.
Now, the standard form of the equation is 25h - C = - 20 (Answer)
(3x+2x^4)+(3x-5x^4)
Answer:
6x -3x^4
Step-by-step explanation:
Eliminate parentheses. Since the multiplying coefficient is +1, the parentheses can simply be dropped:
= 3x +2x^4 +3x -5x^4
Add like terms (ones with the same exponent on the variable).
= 3x +3x +2x^4 -5x^4 . . . . . . . group like terms together
= (3+3)x +(2-5)x^4
= 6x -3x^4
Ace in pudge pink cucumbers to earn money to attend Bible college pudge picked 3 pounds for every 4 pounds ace picked if ace picked 716 pounds how many pounds did pudge pick
Pudge picked 537 pounds of cucumber.
Step-by-step explanation:
Ratio of picking cucumbers,
Pudge to Ace = 3:4
Cucumbers picked by Ace = 716 pounds
Let,
x be the cucumbers picked by pudge.
New ratio of pudge to ace = x:716
Using proportion;
Ratio of pudge to ace :: New ratio of pudge to ace
[tex]3:4::x:716[/tex]
Product of mean = Product of extreme
[tex]4*x=3*716\\4x=2148[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{2148}{4}\\x=537[/tex]
Pudge picked 537 pounds of cucumber.
Keywords: Ratio, proportion
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Using prime factorization what is the GCF of 42, 65
Answer:
1
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 65 are: 1, 5, 13, 65
Then the greatest common factor is 1.
To find the GCF using prime factorization for 42 and 65, determine their prime factors and find the common factors. The GCF of 42 and 65 is 1.
Explanation:To find the GCF (Greatest Common Factor) of 42 and 65 using prime factorization, we need to find the prime factors of each number and determine their common factors.
Step 1: Prime factorize 42:
42 = 2 x 3 x 7.
Step 2: Prime factorize 65:
65 = 5 x 13.
Step 3: Find the common factors:
The only common prime factor between 42 and 65 is 1.
Therefore, the GCF of 42 and 65 is 1.
The area of the parallelogram is 48 square miles. Find it’s base and height.
Answer:
4 × 12=48
Step-by-step explanation:
A=Bh
48=4×12
48=48
Final answer:
To find the base and height of a parallelogram with an area of 48 square miles, apply the formula Area = Base x Height and then solve for the base and height values using the given area. In this case, the base and height would be 6 miles and 8 miles, respectively.
Explanation:
To find the base and height of a parallelogram, you can use the formula: Area = Base x Height. Given that the area is 48 square miles, and the parallelogram formula, you can find the base and height by solving the equation.
Given: Area = 48 square miles
Formula: Area = Base x Height
Plug in the Area value: 48 = Base x Height
Find the factors that multiply to 48 (e.g., 6 x 8)
The base and height would be 6 miles and 8 miles, respectively.
Sarah is sellng bracelets for $5 and necklaces for $10. If the equation below represents her total revenue (R), what is the meaning of '10y'?
R = 5x + 10y
Question 10 options:
Number of bracelets sold
Money earned from bracelets
Number of necklaces sold
Answer:
Number of necklaces sold
Step-by-step explanation:
Every necklace sold becomes added up to make up y, and then you multiply that by $10(the money for necklaces).
Thomas decided to take the plane to save some time. Unfortunately, the plane was delayed for 1 5/6 hours. How long did the trip finally take?
Answer:
Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.
Step-by-step explanation:
1. Let's check all the information provided to answer the question:
Time of Thomas flight delay = 1 5/6 hours
Time of normal flight = x hours
2. How long did the trip finally take?
For calculating how long the trip finally took, we need to do the following sum:
Time of normal flight + Time of delay
Like we don't know the time of the normal flight, we will define it as x, then:
x + 1 5/6 hours
x + 1 hour and 50 minutes ⇒ 5/6 of an hour = 5/6 * 60 minutes = 50 minutes
Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.
Four photographers are taking pictures at a school dance. Photographer A takes 25 of the pictures, Photographer B takes 4%, Photographer C takes 0.29, and Photographer D takes 27100.
Which choice lists the photographers in order from least to greatest by the amount of pictures they take?
Answer:
1) Photographer B (4%)
2) Photographer D (27%)
3) Photographer C (29%)
4) Photographer A (40%)
Step-by-step explanation:
The correct question is
Four photographers are taking pictures at a school dance. Photographer A takes 2/5 of the pictures, Photographer B takes 4% , Photographer C takes 0.29 , and Photographer D takes 27/100 . Which choice lists the photographers in order from least to greatest by the amount of pictures they take?
we know that
1) Photographer A takes 2/5 of the pictures
That means
the amount of pictures take by photographer A in percent form is equal to multiply the fraction by 100
[tex]2/5(100)=40\%[/tex] ---> percentage form
2) Photographer B takes 4%
3) Photographer C takes 0.29
That means
the amount of pictures take by photographer C in percent form is equal to multiply the decimal number by 100
[tex]0.29(100)=29\%[/tex] ---> percentage form
4) Photographer D takes 27/100
That means
the amount of pictures take by photographer D in percent form is equal to multiply the fraction by 100
[tex](27/100)(100)=27\%[/tex] ---> percentage form
Lists the photographers in order from least to greatest by the amount of pictures they take
1) Photographer B (4%)
2) Photographer D (27%)
3) Photographer C (29%)
4) Photographer A (40%)
Two angles are supplementary. The measure of the first angle is 10 degrees more than three times the second angle. Find the measure of each angle
Answer:
137.5° and 42.5°
Step-by-step explanation:
supplementary angles are two angles whose sum is equal to 180°.
Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3(x)+10°.
we know that the sum of first and second angles is 180° (supplementary angles)
so, (3(x)+10°)+(x) = 180°
4(x) = 170°
x = 170°/4 = 42.5°
so, first angle is 3(42.5°)+10° = 137.5°, second angle is x that is 42.5°
therefore, the angles are 137.5° and 42.5°.
Answer:
THE OTHER ONE IS WRONG!!!
Expert verified FOX DUNG!
Step-by-step explanation:
The price of gasoline was $1.80 per gallon. Ed bought 13.4 gallons of gasoline.How much did he pay for gasoline
Answer: $24.12
Step-by-step explanation:
1.8 * 13.4 = 24.12
What number has 3 hundreds, 4 more tens than hundreds, and 1 more one than hundreds?
The number that has 3 hundreds, 4 more tens than hundreds, and 1 more one than hundreds is 374.
Explanation:The student is asking us to construct a number based on place value criteria. To assemble this number, we will assign the digits to their appropriate places based on the given conditions. Three hundreds means the hundreds place must be 3, so we have '3' in the hundreds place. Since there are 4 more tens than hundreds, we add 4 to 3, giving us 7, which becomes the digit in the tens place. Lastly, there is 1 more one than hundreds, meaning we need to add 1 to 3 to get 4 for the ones place. Therefore, our number is 374, as it meets all the conditions: 3 hundreds, 7 tens (which is 4 more than the hundreds), and 4 ones (which is 1 more than the hundreds).
38000000 times 460000000
Answer:
1.748*10^16
Step-by-step explanation:
(3.8*10^7)(4.6*10^8)=1.748*10^16
how do i solve 1/4 +1/3
Answer:
[tex]\large\boxed{\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{7}{12}}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{4}+\dfrac{1}{3}\qquad\text{find}\ LCD=(4)(3)=12\\\\=\dfrac{1\cdot3}{4\cdot3}+\dfrac{1\cdot4}{3\cdot4}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}=\dfrac{7}{12}[/tex]
Answer:
7/12
Step-by-step explanation:
Write all numerators above the least common denominator which is 12.Divide the denominator 12 by the first denominator 4 and add it to the first numerator 1, your result should be 3.Divide the denominator 12 by the second denominator 3 and add it to the second numerator 1, your result should be 4.Add the numerator since you have a + sign 3+4/12.Answer: 7/12.Write the inequality shown by the graph.
18.
2
3
4 5
6
Answer:
n>=4
Step-by-step explanation:
Since the inequality shows that n can equal or be greater than 4, that must mean that 4=n and 4>n, so 4>=n.
a ruby throated hummingbird is about 4 in long and is it noted for its annual non-stop migration of 500 miles across the Gulf of Mexico and for the rabbit flopping of its wings some hummingbirds flap their wings 55 times per second if the ruby-throated hummingbird is only 4 inches long and migrates 500 miles how many of the hummingbird the body length are equal to the distance of its migration
Answer:
7,920,000
Step-by-step explanation:
The question is asking the number of times that 4 inches fits in 500 miles. We need to divide 500 miles by 4 inches, but first we need to convert 500 miles into inches.
12 inches = 1 foot
5280 ft = 1 mile
500 miles * (5280 ft)/(1 mile) * (12 in.)/(1 ft) = 31,680,000 inches
Now that we know that 500 miles is the same as 31,680,000 inches, we divide that number of inches by 4 inches.
(31,680,000 inches)/(4 inches) = 7,920,000
Answer: 7,920,000
A segment is on a number line with endpoints at −5.3 and 8.7.
What is the length of the segment?
Answer:
about 6.3✔
Step-by-step explanation:
Answer:
Step-by-step explanation:
-5+8 =3
-3-7=4
Answer 3.4
What is the answer to 5-15n?
This is an expression so I can not solve it. But I can factor it if that is what you mean. Factor 5 out from both terms.
5-15n = 5(1-3n)
This is the factored form.
please help with steps:
18 - 24 (divide) (-6)
Answer:
Solution is 1 (one).
Step-by-step explanation:
The equation [tex]\frac{18-24}{-6}[/tex] can be solved by solving first the expression in the numerator. This is done by solving [tex]18-24=-6[/tex].Then, you just have [tex]\frac{-6}{-6}[/tex]. The negative is canceled when it appears twice, so we just have to solve [tex]\frac{6}{6}=1[/tex] (any number divided by itself equals to one).Solve the simultaneous equations
5x+2y=30
3x-2y=2
Answer:
x=4, y=5. (4, 5).
Step-by-step explanation:
5x+2y=30
3x-2y=2
------------------
8x=32
x=32/8
x=4
5(4)+2y=30
20+2y=30
2y=30-20
2y=10
y=10/2
y=5
f(j)=6j+5.
Find f(1/3)
Answer:
f(j)=6j+5
f(1/3)=6*(1/3)+5
=2+5
=7