Mr Hernandez can go to movies with 4 kids and spend a total of $38 which is still within his budget of $40 i.e 1x10 + 4x7 = $38
Here is a simple maths to show how Mr Hernandez can spend $40The cost of 1 adult ticket is $10
The cost of 1 kid ticket is $7.
Total cost = (number of adults * cost of adult ticket) + (number of kids * cost of kid ticket)
Substituting the given values, we get:
Total cost = (1 * 10) + (x * 7)
where x is the number of kids
We know that Mr. Hernandez only wants to spend $40. Therefore, we can set up an equation:
Total cost <= 40
Substituting the expression for the total cost, we get:
(1 * 10) + (x * 7) <= 40
Simplifying the inequality, we get:
10 + 7x <= 40
Subtracting 10 from both sides, we get:
7x <= 30
Dividing both sides by 7, we get:
x <= 4.28 (rounded to two decimal places)
Since we can't have a fractional number of kids, we round down to the nearest integer:
x = 4
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Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
I have one quarter. if I flip up four times, what is the probability of the coin landing on Tails all four times
Answer:
25%
Step-by-step explanation:
i think it is
i am sorry if wrong
there were 55 questions on your chemistry exam , your score was a 94.5 %. how many questions did
you answer correctly to the nearest whole number?
there were 58 questions on your biology exam , you answered 54 of them correctly. what is the
percentage that you answered correctly to the nearest tenth ?
Answer:
You got about 52 (~51.975) questions right on your chemistry exam
You got a 93.1% on your biology exam
Step-by-step explanation:
55 multiplied by 0.945 gives you about 52
And for the second part just divide 54/58 to get the percentage
Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.
Answer: 7x + 1
Step-by-step explanation:
(6x-4)+(x+5)
Step 1: Remove Parentheses:
6x-4+x+5
Step 2: Combine Like Terms:
7x +1
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
Liam will spin the pointer one time. What is the probability that the pointer will land on red?
Answer:
Step-by-step explanation:
What are the other colors?
if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2
similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....
depends on how many colors are there
can i have help with this pls, no one will teach me it
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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To win a math game, Lamar has to pick a card with an
expression that has a value greater than 1. The card Lamar chooses
reads (1/2) to the -4 power. Does Lamar win the game? Explain.
:)
Answer:
YES,
AS ,
1/2^-4
=2^4=16.
16>1
HOPE IT HELPS
Help me please I need help x^2 - 8x + 16
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
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Can someone help with this question
Name an angle supplementary to AOB
PLS HELP ASAP ILL MARK U BRAINLEST
Answer:
I believe its DOB, I'm sorry if I'm wrong
Step-by-step explanation:
unit 7 right triangles & trigonometry homework 5: trigonometry : finding sides and angles
Answer:
1. 7.3
2. 33.3
3. 21.3
4. 31.9
5. 25.6
6. 11.0
7. 42°
8. 64°
9. 13°
10. 51°
Step-by-step explanation:
make sure if you're using a math calculator that it is in degree mode.
SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.
Cos is Adjacent(next to it)/hypotenus.
Tan is Opposite/Adjacent.
~~
PROBLEM 1:
So we have 63°, 16 as hypotenus, and x as one of the legs.
1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)
2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.
3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996
4. Don't forget to round to the nearest tenth, which gives you
x = 7.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 2:
Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.
1. Set it up, Tan 39° = 27/x can't solve this way so fix it.
2. rewritten as X = 27/tan39
3. round ur answer.
x = 33.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 3:
Given: 49°, adj is 14, hyp is x. So this is Cos.
1. Set up according to CAH, Cos 49=(14/x).
We can't solve it this way since the X is on the bottom. So we have to fix it!
2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.
3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)
4. Round.
x= 21.3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 4:
Given: 15°, 33 hyp, adj x. Which is Cos.
1. Cos 15= x/33 and rewrite.
2. Input as 33 cos(15 into calculator = 31.875...
3. Round to tenth.
x = 31.9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 5:
Given: 52°, 20 adj of °, and x opp of °. Will use TAN.
1. Tan 52° = x/20
2. 20 Tan(52 into calculator
3. Round
x = 25.6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 6:
Given: 27°, opp of ° is 5, hyp is x. Will use Sin.
1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.
2. Input into calculator as: 5/sin 27 which equals 11.01...
3. Round.
x = 11.0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 7:
Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.
We will be using SIN, x is still a °.
1. Sin X = 4/6 Rewrite.
2. X= Sin^-1 (4/6)
Make sure ur sin is negative in calculator when doing this.
3. It SHOULD give you 41.81, round.
x = 42°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 8:
Given: x°, 29 opp, 14 adj. TAN.
1. Tan x°= 29/14 or..
2. X = Tan^-1(29/14) solve..
3. gives u 64.23.... round.
x = 64°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 9:
Given: x°, hyp 54, opp 12. SIN
1. Sin x°=(12/54)
2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)
3. Don't Forget to round, answer unrounded: 12.839..
x = 13°
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PROBLEM 10:
Given: x°, adj 25, hyp 40. COS
1. Cos x°=25/40 rewrite.
2. X= Cos^-1(25/40) Solve.
3. Round.
X= 51°
Show all relevant steps.
If fire fighters response time to an emergency call is normally distributed with a mean of 9 minutes and a standard deviation of 2 minutes. Determine the percent of emergency calls with a firefighter response time:
(a) Between 7 and 11 minutes (b) Less than 12.2 mins (c) At least 7.8 minutes
Answer:
Step-by-step explanation:
A
Which equation is equivalent to 7 + 3 ( x+4 ) = 10 x -2
Answer:
X=3
Step-by-step explanation:
First, the 3 spread to the x and the 4 because of distribution property. Then, 3x is moved to the right, and the left turns into 19. The X's turn into 7x, and the -2 is moved to the left which makes it positive. The equation is simplified to 21=7x which means that x=3.
Hope this helps!
What is -4w + 7 = -10w + 37?
Please show me how to get it!
pls help its an image scroll down
Answer:
D. y = 3x + 9
Step-by-step explanation:
Use the point-slope formula to find the equation in slope-intercept form.
\(y-y_1=m(x-x_1)\\\\y-33=3(x-8)\\\\y-33=3x-24\\\\y=3x+9\)
Which of these inequalities means that
18 is greater than three times a number?
Let's write this verbal phrase as an inequality.
First of all, let the number be n.
"three times n" can be written like so:-
\(\pmb{3n}\)
Now, 18 is greater than 3n:-
\(\pmb{18 > 3n}\)
Which means 3n is less than 18:-
\(\bigstar{\boxed{\pmb{3n < 18}}}\)
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
what is the solution for 11 = y-6
Answer:
y = 17
Step-by-step explanation:
11 = y - 6
11 + 6 = y17 = yprove that the value of y is 17
11 = y - 6
11 = 17 - 611 = 11proven
Hello.
Let's solve this equation for y.
First, subtract 11 from both sides:
\(\mathrm{11-11=y-6-11}\)
\(\mathrm{0=y-6-11}\)
\(\mathrm{0=y-17}\)
Subtract y from both sides:
\(\mathrm{-y=-17}\)
\(\Large\boxed{\sf{y=17}}\)
I hope it helps.
Have a nice day.
\(\boxed{imperturbability}\)
HELP! Xochitl went into a movie theatre and bought 6 bags of popcorn and 4 drinks, costing a total of $65, Alonso went into the same movie theatre and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. Determine the price of each bag of popcorn and the price of each drink.
Each bag of popcorn costs $__ and each drink costs $__.
The cost of bag of popcorn is $7.5 and that of one drink is $5.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Xochitl who went into a movie theatre and bought 6 bags of popcorn and 4 drinks, costing a total of $65, Alonso went into the same movie theatre and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50.
Assume that the cost of one popcorn bag is $[x] and one drink is $[y]. Then we can write -
6x + 4y = 65
9x + 8y = 107.5
Plot the graph of both equations and the points of intersection would be the solution set. Refer to the graph below. We get x = $7.5 and y = $5.
Therefore, the cost of bag of popcorn is $7.5 and that of one drink is $5.
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I need these answers quickly. If I don't get them by midnight ill cry.
Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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A product costs $70 today, how much will the product cost in t days if the price is reduced by $5 a day
Answer:
P ($)=70-5(t)
Where p = price at t days
t = number of days
Step-by-step explanation:
The product price initially = $70
Now, every day , it reduces $5
The rate=$5 per day reduction
The price in the days will be determined by the formula below
P ($)=70-5(t)
Where p = price at t days
t = number of days
So let's assume it's on the second day
The price after the second day
P($) = 70-5(2)
P($) = 70-10
P($)= $60
The price after two days will be reduced to $60
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? A line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6. 4x + 2y = −2 x − 3y = 24 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. The slopes are the same, and the y-intercepts are the same.
The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, we have the following system of equations in standard form:
4x + 2y = −2
x − 3y = 24
By rewriting system of equations in slope-intercept form, we have:
y = -2x - 1 ⇒ m = -2, b = -1
y = x/3 - 8 ⇒ m = 1/3, b = -8
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Solve and graph.
2a − 10 < 2
The calculated solution to the inequality is a < 6
How to determine the solution to the inequalityfrom the question, we have the following parameters that can be used in our computation:
2a - 10 < 2
Divide through the equation by 2
So, we have
a - 5 < 1
Add 5 to both sides
a < 6
Hence, the solution to the inequality is a < 6 and the graph is attached
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Add. 34.700 + 98.428 98.775 132.435 132.980 133.128
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
Based on the line of best fit, which of these statements is true?
A. Each item requires about 12 minutes of production time.
B. The equipment starts producing items after about 25 minutes of
warming up.
C. The equipment starts producing items after about 20 minutes of
warming up.
D. Each item requires about 3 minutes of production time.
The true statement regarding the line of best fit is that C. the equipment starts producing items after about 20 minutes of warming up
What is the like about?The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points.
The equipment starts producing items after about 25 minutes of warning up. This is false because machine takes 20 minutes to produce the items.
The equipment starts producing items after about 20 minutes of warming up. This is True.
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Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
plz help I need help on math plz help the first one get bainys its actually for my lis sis
here is my picture
Answer:
Step-by-step explanation:
1. $5
2. 50 cents
3. 25 cents
4. 3 dollars
5. 70 cents
just subtract them
10 points
4. Which equation represents the correct unit rate (slope) for the
following: Hint..get y by itself in the following equation.*
Cost of blueberries:
2y = 5.76x
Where y=cost and
x=pounds
Oy=2.75x
Oy=2.88x
Oy=2.92%
Oy-2.41x