A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
To learn more on systems of linear equations: https://brainly.com/question/21292369
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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
i need help as u can tell all the erasing
Answer:
x=10
Step-by-step explanation:
We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as
6x=5x+10 Then, subtract 5x from both sides
x=10
I'm assuming this is what the question is asking
simplify the expression
3( 2x - 4) -1n
pls hurry
Answer:
(3)(2x) + 3 (-4) + - 1n
6x + -12 + - n
Answer -n + 6x - 12
Rewrite the linear equation 2x = 13y – 9 in slope-intercept form
Answer:
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
Step-by-step explanation:
we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept
1) add 9 to both sides
2x = 13y - 9
2x + 9 = 13y
2)divide 13 on both sides
2x + 9 = 13y
2/13x + 9/13 = y
final equation is
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
What power would you multiply 22 by to get an answer of 22,000? 10^3? 10^5 10^2 10^4 also i dont know how to use this app.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathbf{\boxed{\textsf{EQUATION }\rightarrow \mathbf{[?]}} \times 22 = 22,000}}[/tex]
[tex]\large\textbf{Lets solve the choices into the equation to see which}\\\large\textbf{one will fit with the answer (22,000)}[/tex]
[tex]\large\boxed{\boxed{\bf 10^3}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times10}\times\bf 22}\\\large\boxed{= \boxed{1\bf ,000}\times\bf 22}\\\large\boxed{= \bf 22,000}\\\\\\\\\large\boxed{\mathbf{22,000 = 22,000}}\\\large\text{Thus, this means Option A. could possibly be your answer.}[/tex]
[tex]\large\boxed{\boxed{\bf 10^5}\times\bf22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10\times10}\times\bf 22}\\\large\boxed{=\boxed{\bf 100\times100\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100,000}\times\bf 22}\\\large\boxed{ = \bf 2,200,000}\\\\\\\\\large\boxed{\bf 2,200,000 \neq 22,000}\\\large\text{Thus, this means Option B. isn't your answer}[/tex]
[tex]\large\boxed{\mathbf{\boxed{\mathbf{10^2}} \times 22}}\\\large\boxed{= \boxed{\bf 10\times10} \times \bf 22}\\\large\boxed{= \boxed{\bf 100}\times \bf 22}\\\large\boxed{\mathbf{= 2,200}}\\\\\\\\\large\boxed{\mathbf{2,220 \neq 22,000}}\\\large\text{Thus, this means Option C isn't your answer}[/tex]
[tex]\large\boxed{\boxed{\bf 10^4}\times\bf 22}\\\large\boxed{= \boxed{\bf 10\times10\times10\times10}\times\bf 22}\\\large\boxed{= \boxed{\bf 100\times100}\times\bf 22}\\\large\boxed{= \boxed{\bf 10,000}\times \bf 22}\\\large\boxed{= \bf 220,000}\\\\\\\\\large\boxed{\bf 220,000\neq 22,000}}\\\large\text{Thus, this means Option D. isn't your answer}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{10^3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help please??????????
Answer:
D. 4+2 = 2+4
Step-by-step explanation:
Commutative property of addition states that the answer does not change when you change the order of the equation.
Example:
a+b = b+a
Hope this helps! Have a great day!
Answer: 4+2=2+4
Step-by-step explanation:
Commutative property of addition states that the answer does not change when you change the order of the equation.
Example:
a+b = b+a
100% correct
Rewrite the expression as only multiplication and evaluate.
2
1 -
Answer:
72
Step-by-step explanation:
1 * 3/2 * (-8) * 3 * (-2)
3/2 * (-8) * 3 * (-2)
(-24/2) * 3 * (-2)
(-12) * 3 * (-2)
24 * 3
72
Estimate the line of best fit using two points on the line.
Answer: i think it's b
Answer:
C.
Step-by-step explanation:
A and D are immediately wrong since the line is increasing.
Using the formula of rise over run, we can find the slope. We then use 40 as the rise and 5 as the run
40/5 is 8.
We can now put 8 as the slope in the y=mx+b equation. We can see the line intersect at 20 at the y-axis, which makes 20 the y-intercept. We can now insert that into the b part of the equation. This leaves us with y=8x+20.
Explain how 3/4 ×7, 7×3/4 and 3×7/4 are all related
Answer:
3/4×7
= 0.75×7
=5.25
7×3/4
=7×0.75
=5.25
3×7/4
=3×1.75
=5.25
all answer is same so, however we do all answer come 5.25
this way they all are related
What is the sum of the following
(k – 4) and (k + 3)
Please fast needed
Answer:
2k-1
Step-by-step explanation:
(k-4)+(k+3)
k+k=2k
-4+3=-1
Answer:
2k-1
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
0.35x4
please help me
Answer:
0.35*4=1.40
Step-by-step explanation:
Think of doing 35*4 but dividing the result by 100, or 2 decimal places to the left:
35*4 = 35*2*2 = 70*2 = 140
140/100 = 1.40
So, 0.35*4=1.40
Answer:
1.4
Step-by-step explanation:
You can use a calculator or you can try it using this method:
4 * 0.05 = 0.2
4 * 0.3 = 1.2
1.2 + 0.2 = 1.4
*PLEASE HELP*
If f(x)= 4x^2
+3 , find
f(0)
f(-2)
Answer:
f(0) = 3
f(-2) = 19
Step-by-step explanation:
f(x)= 4x^2 +3
1) f(x) = 4x^2 +3
f(0) = 4(0)^2 +3
f(0) = 3
2) f(x) = 4x^2 +3
f(-2) = 4(-2)^2 +3
f(-2) = 4(4) +3
f(-2) = 19
Luciano can type 190 words in 5 minutes. Which of the following ratios are in a proportional relationship with Luciano's typing speed?
Select all that apply.
38/1
74/2
230/45
290/105
570/15
950/25
Answer:
38/1570/15950/25Step-by-step explanation:
The given rate, in words per minute, is ...
(190 words)/(5 min) = 38 words/min
The offered ratios are ...
38/1 = 38 . . . . proportional
74/2 = 37 . . . . NOT proportional
230/45 ≈ 5.11 . . . NOT proportional
290/105 ≈ 2.76 . . . NOT proportional
570/15 = 38 . . . . proportional
950/25 = 38 . . . . proportional
. Find the average (mean) of the daily low temperatures
-13°F, 2°F, -7°F, -16°F, and 4°F.
Answer:
-6
Step-by-step explanation:
Add all the numbers together and then divide it by 5 because there are 5 numbers
The image of a point k(-3,4) under a translation 5/2 is
Answer:
try to use automath, it really helps
P(x)=3x 4 −2x 3 +2x 2 −1P, left parenthesis, x, right parenthesis, equals, 3, x, start superscript, 4, end superscript, minus, 2, x, cubed, plus, 2, x, squared, minus, 1 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis?
The remainder when the polynomial is divided by x + 1 is 2
Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:
P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1
P(-1) = 3(1) - 2 + 2(1) - 1
P(-1) = 1 + 1
P(-1) = 2
Hence the remainder when the polynomial is divided by x + 1 is 2
Learn more on polynomials here: https://brainly.com/question/4142886
Answer:
6
Step-by-step explanation:
:)
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?
Answer:
y > 3x - 4
Step-by-step explanation:
lmk if you want an explanation
The area of a square depends on the length of its sides. This can be written in function notation as a(s). What is the best interpretation of a(4) = 16?
A. The area of a square is always one-fourth of the side length.
B. The area of a square is always four times the side length.
C. A square with sides 4 units long has an area of 16 square units.
D. A square with sides 16 units long has an area of 4 square units.
Answer:
option d is the right answer
What is the y intercept and slope
true or false 3 x 10^4 is 5 times as much as 6 x 10^3
Answer:
True
Step-by-step explanation:
1. To find if this statement is true or false, we first have to evaluate the value of these numbers.
[tex]3 * 10^4 = 3 * 10 * 10 * 10 * 10 = 30 * 10 * 10 * 10 = 300 * 10 * 10 = 3000 * 10 = 30000[/tex] [tex]6 * 10^3 = 6 * 10 * 10 * 10 = 60 * 10 * 10 = 600 * 10 = 6000[/tex]2. Next, we divide 30,000 by 6,000. If our quotient is 5, then this is true.
[tex]30,000/6,000[/tex] [tex]5[/tex]Therefore, this is true.
Find the value of x and the indicated angles.
Answer:
x = 19
Indicated angles: 113°
Step-by-step explanation:
We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.
=> 6x - 1 = 2x + 75=> 6x - 2x = 1 + 75=> 4x = 76=> x = 19Since we have found the required variable, we can now solve the indicated variables.
Given angles:
6(19) - 12(19) + 75Let's solve 6(19) - 1 first.
6(19) - 1=> 114 - 1=> 113Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75
2(19) + 75=> 38 + 75=> 113We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
[tex]\sf 6x+4y-2x[/tex]
Answer:
4(x + y)
Step-by-step explanation:
6x + 4y - 2x
6x - 2x + 4y
4x + 4y
Taking 4 as common
4(x + y)
Solve the following for x: 7/x=100/75
Answer:
9.31
Step-by-step explanation:
7/x=100/75
7/x=1.33
x=9.31
Answer: x = 5 1/4
Step-by-step explanation: 7/x = 100/75 (7)(75) = (100)(x)
100x/100 = 525/100 x = 21/4 x = 5 1/4
what percent increase is 1/3 to 1/6
Answer:
50% increase
Step-by-step explanation:
half of 6 is 3 thus 50%, and vise versa.
I do believe i need help.
Answer:
A
Step-by-step explanation:
Can't have 0 in the denominator
Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.
Using the z-distribution, it is found that the value of the test statistic is z = 10.33.
At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:
[tex]H_0: p = 0.75[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.75[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]
[tex]z = 10.33[/tex]
A similar problem is given at https://brainly.com/question/24330815
You buy a sweater that is on sale for 20% off of the original price. The sweater cost $28. What was the original price?
Answer:
The original price was $50.
Step-by-step explanation:
Your sweater now cost $28 after 20% off.
To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.
$28/.80 = $35.
Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.
$35/.70 = $50
Find the area of the figure.
Answer:
780ft²
Step-by-step explanation:
I'd cut that lower part off into a separate section, and then its width would be the difference of 40 and 30, and its height the difference of 24 and 18. Then, with just 2 rectangles, you can easily calculate the area of each and add them up.
[tex]40-30=10\\24-18=6[/tex]
The lower rectangle is 10' × 6'.
Upper rectangle:
[tex]40\times18=720[/tex]
Lower rectangle
[tex]10\times6=60[/tex]
Add them up:
[tex]720+60=780[/tex]
780ft²
Which numbers is divisible by 5,10 and 15.
A) 15
B) 20
C) 21
D) 34
Hope you could get an idea from here.
Doubt clarification - use comment section.
its graphing linear inequalities
if u can help that would be nice
Answer:
y>_ 5/3x+3 is the answer.
Step-by-step explanation: