Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Todd's order before tax is $85.75. How many pictures did Todd order? Solve this problem using two different methods or strategies. Label your strategies.
Equation in slope intercept form
y=mx+by=7.5x+3.25So
Total paintings is x
85.75=7.5x+3.257.5x=82.5x=11 paintingsAnswer:
11 pictures
Step-by-step explanation:
Method 1Create an algebraic equation from the given information, defining the unknown quantity as a variable, then solve for the variable.
Given:
Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75Let x = number of pictures ordered
⇒ Cost of one picture × number of pictures ordered + shipping fee = total
⇒ 7.5x + 3.25 = 85.75
⇒ 7.5x + 3.25 - 3.25 = 85.75 - 3.25
⇒ 7.5x = 82.50
⇒ 7.5x ÷ 7.5 = 82.50 ÷ 7.5
⇒ x = 11
Therefore, Todd ordered 11 pictures.
Method 2Logic and trial and error.
Given:
Cost of one picture = $7.50Shipping fee (one time) = $3.25Total cost of order = $85.75If the shipping fee is a one time cost, then if we subtract this from the total cost of the order, we know how much Todd spent on the pictures alone:
⇒ $85.75 - $3.25 = $82.50
We have been told that each picture costs $7.50.
Therefore, 10 pictures costs $75.00 (when multiplying by 10, we simply move the decimal point one place to the right).
$75.00 is less than $82.50. So what happens if we add another $7.50 to $75.00?
⇒ $75.00 + $7.50 = $82.50
Therefore, Todd ordered 10 + 1 = 11 pictures.
A box contains six black balls and four white balls.
What is the probability of selecting a black ball at
random from the box?
(15 points!!!)
Thank you! :)
(PLEAse someone help me!) (No links!)
Answer:
<4 = 67 degrees
Step-by-step explanation:
angle 1 + angle 4 makes 180 degrees so since angle 1 is 113 degrres
180-113=67
Hope it helps:)
Find x and find angle b
simplify the expression by combing like terms. write the twins from the highest to the lowest power of the variable. 15a + 12b - 14c * 3a + 19b -6c
Answer:
−42+15+31−6
Step-by-step explanation:
Combine the terms
Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?
Answer: 6.04 inches
Step-by-step explanation:
The actual height of the monument = 604 feet
The scale used by Corbins is 1 inch = 100 feet
The height of the Corbins model in inches= [tex]\frac{604}{100}[/tex] = 6.04 inches
the height of the Corbins model = 6.04 inches
What does 3/4 + 3/4 + 3/4 + 3/4 =
Answer:
3
Step-by-step explanation:
3/4 = 0.75
0.75 x 4 = 3
0.75 + 0.75 + 0.75 + 0.75 = 3
Step-by-step explanation:
[tex] = \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} \\ [/tex]
[tex] = \frac{3 + 3 + 3 + 3}{4} \\ [/tex]
[tex] = \frac{12}{4} \\ [/tex]
change into lowest term
[tex] = \frac{6}{2} \\ [/tex]
[tex] = \frac{3}{1} \\ [/tex]
hope it helped !!!
6) Which of the following equations is of a parabola with a vertex at (3, 0)?
a) y = x2 + 3
b) y = x2-3
c) y = ( x + 3) 2
d) y = ( x - 3)2
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
We need a parabola with a vertex at (0,-3)
If we select the equation:
[tex]y=x^2-3[/tex]
When we put x = 0, we get
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
And similarly, when we put y = -3, we get
[tex]-3=x^2-3[/tex]
[tex]0=x^2[/tex]
[tex]x=0[/tex]
Hence, second option is correct.
Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior angle d is 149 degrees. what is the measure of angle bcd? 25º 40º 140º 155º
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The sum of the exterior angles of a regular polygon will always equal 360
Given that;
Exterior angle a = 25 degreesExterior angle b = 146 degreesExterior angle d = 149 degreesExterior angle c = ?25° + 146° + 149° + c = 360°
320° + c = 360°
c = 360° - 320°
c = 40°
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
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Answer:
C. 140 degrees
Step-by-step explanation:
Got it right Edge2022
The principal would like to assemble a committee of 7 students from the 13-member
tudent council. How many different committees can be chosen?
Lori wants to spend less than $20 on her school lunches this week. If she plans to buy all her lunches at school this week, on average, how much can she spend in a day?
Inequality:
Answer:
average = amount/ days
the answer is 4
Can someone help me with this question? Thanks!
The probability that the student loses his earbuds in cherry st. in the path of home to school is 0.2857 or 28.57%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The path of the student from the home to school consists of:
0.2 miles of cherry st.0.4 miles of park st.0.1 miles of pine st.Total distance of the path of student from the home to school is,
d=0.2+0.4+0.1
d=0.7 miles
Now, the distance of cherry st. is 0.2 miles. Thus, the probability that he loses his earbuds in this st. is,
P=(0.2)/(0.7)
P=0.2857
P=28.57 %
Thus, the probability that the student loses his earbuds in cherry st. in the path of home to school is 0.2857 or 28.57%.
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Please help!!!!!
A coin is tossed on the board shown. Which is the probability that it will land in region II?
A. 75%
B. 45%
C. 55%
Answer: B
Step-by-step explanation:
The area of the entire rectangle is (10+30)(15+10) = 1000, and the area of region II is (30)(15)=450. Hence, the desired probability is 450/1000 = 45%.
Which of the following examines relationships and patterns?
descriptive survey
predictive survey
exploratory survey
explanatory survey
4x-6+x+3 what is the value of x ?
Answer: [tex]5x-3[/tex]
Step-by-step explanation:
First, [tex]4x-6+x+3~ < --- Simplify ~the ~expression[/tex]
[tex]4x+x-6+3[/tex]
Add the numbers [tex]-6+3=-3[/tex]:
[tex]4x+x-3[/tex]
Add similar elements [tex]4x+x=5x[/tex]:
[tex]=5x+3[/tex]
Answer:
[tex]\boxed{\tt 5x−3}[/tex]
Step-by-step explanation:
[tex]\tt 4x−6+x+3 [/tex]
Combine 4x and x = 5x:-
[tex]\tt 5x−6+3[/tex]
Now, Add -6 and 3 = -3:-
[tex]\tt 5x−3[/tex]
- :)
For what value of k will k + 11, 2k – 1 and 2k + 7 are the consecutive terms of an A.P.?
1st answer will be marked brainliest and no glibberish answers
[tex]\text{For arithmetic series, the common difference will be same. }\\\\~~~~~~(2k-1)-(k+11) = (2k+7)-(2k-1)\\\\\implies 2k-1-k-11 = 2k+7-2k+1\\\\\implies k-12=8\\\\\implies k=8+12\\\\\implies k=20[/tex]
Question 1 (2 points)
You can prove two triangles are similar...
if they have three proportional sides
if they have two congruent angles
if they have a congruent included angle between two proportional sides
True or False
Answer:
true
Step-by-step explanation:
the answer is true hope it helps
A cube has an edge length of 9 meters. What is its volume, in cubic meters?
Work Shown:
volume = side*side*side
volume = 9*9*9
volume = 729
A slight shortcut would be to say 9^3 = 729
Is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
a medical device company knows that the percentage
of patients experiencing injection-site reactions with
the current needle is 11%. a nurse will collect data by
performing injections with this type of needle until five
people experience injection-site reactions.
yes, the geometric distribution is appropriate.
no, since each trial is not independent of the other
trials.
no, because it is not looking for the first occurrence
of success.
no, since the probability of success is not the same
for each of the trials.
The hypergeometric distribution should not be used, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
When the hypergeometric distribution should be used?These two conditions should be respected:
We should be looking for the probability of x successes on n trials, not the number of trials until n successes.The trials should not be independent, that is, the probabilities on each trial should be different.None of these conditions are true in this case, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
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3. Determine the 5-day SMA for the 10 consecutive-day closing prices for
Sherwin-Williams Co listed below.
$242.50 $273.98 $278.16 $293.94 $285.04
$290.80 S296.02 $291.01 $293.41 $286.85
The 5-day SMA for the 10 consecutive-day closing prices are:
Day 2-6=$284.384Day 2-6=$284.384Day 3-7=$288.792Day 4-8=$291.362Day 5-9=$291.256Day 6-10=$291.618 5-day SMA for the 10 consecutive-dayDay 1-5:
Day 1-5 =$242.50+$273.98+$278.16 +$293.94+ $285.04÷5
Day 1-5=$1,373.62÷5
Day 1-5=$274.724
Day 2-6:
Day 2-6=$273.98+ $278.16 +$293.94 +$285.04+$290.80÷5
Day 2-6=$1,421.92÷5
Day 2-6=$284.384
Day 3-7:
Day 3-7=$278.16 +$293.94+ $285.04+$290.80 +S296.02÷5
Day 3-7=$1,443.96÷5
Day 3-7=$288.792
Day 4-8:
Day 4-8= $293.94 +$285.04+$290.80+$296.02+ $291.01÷5
Day 4-8=$1,456.81÷5
Day 4-8=$291.362
Day 5-9:
Day 5-9=$285.04+$290.80+$296.02 +$291.01 +$293.41÷5
Day 5-9=$1,456.28÷5
Day 5-9=$291.256
Day 6-10:
Day 6-10=$290.80+$296.02+ $291.01 +$293.41+ $286.85÷5
Day 6-10=$1,458.09÷5
Day 6-10=$291.618
Therefore the 5-day SMA for the 10 consecutive-day closing prices are:
$284.384; $284.384; $288.792; $291.362; $291.256; $291.618.
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which expression represents four less than half a number, n? (show your work)
1. 4-1/2n
2. 1/2n-4
3. 1/2 (4-n)
4. 1/2 (n-4)
Solve the equation.
6x+7=8x-15
The answer to the question is 11
Answer:x=11
Step-by-step explanation:
Consider the parallelogram below.
Find the value of y.
Enter each line of work as an equation.
Answer: 10
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]
Trains Two trains, Train A and Train B, weigh a total of 355 tons. Train A is heavier than Train B.
The difference of their weights is 183 tons. What is the weight of each train?
Answer:
A = 269 T B = 86 T
Step-by-step explanation:
A-B = 183 or A = 183 +B
A+B = 355 SUB IN THE VALUE ABOVE FOR A
183 + B + B = 355
183 + 2B = 355
B= 86 THEN A = 183 +B = 269
What is the measure of y
Two people ran in a city election. The winner received 1 more than 3 times as many votes as the runner-up. Let w represent the number of votes the winner received. Let x represent the number of votes the runner-up received. The number of votes the runner-up received is known. Which equation represents the number of votes the winner received?
Answer:
w = 3x + 1
Step-by-step explanation:
Answer:
w=3x+1
Step-by-step explanation:
The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.
name four fractions whose values are between 1/4 and 3/4
Answer:
ok don't panic it's organic
Answer:
[tex]\frac{1}{3} , \frac{1}{2} , \frac{3}{8} , \frac{5}{8}[/tex]
Step-by-step explanation:
What is the solution to this equation?
X- 17 = -5
I know the answer just need someone explain to me how to solve it
The logarithm of a quotient can be written as a difference of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)[/tex]
You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)[/tex]
To summarize,
[tex]\log_b(mn) = \log_b(m)+\log_b(n)[/tex]
[tex]\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)[/tex]
[tex]\log_b\left(m^n\right) = n \log_b(m)[/tex]
Find the value of x.
Answer:
sum of an exterior angle is 360
2x+56+85+57+4x=360
6x+198=360
6x=360-198
6x=162
x=162/6
x=27
