Answer:
10
Step-by-step explanation:
you do the one plus the nine which gives you 11 then subtract 2 which gets you 9 then add 4 which gets you 13 then minus 3 which gets you 10.
Mikey biked 12 miles north to a park and then 5 miles west to the mall. Find how far Mickey is from the starting point.
Write your answer in the box.
Answer:
13 miles
Step-by-step explanation:
For this equation you would use the Pythagorean Theorem. \(a^{2}+b^{2} =c^{2}\) .
12 x 12 = 144
5 x 5 = 25
144 + 25 = 169
\(\sqrt{169}\) = 13
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
Solve the following system by substitution. CHECK the solution.
3y = 2x + 12
y + 3x = -7
We can use substitution to solve this system of equations. We can solve the first equation for y and get:
y = (2x + 12)/3
We can then substitute this expression for y into the second equation:
(2x + 12)/3 + 3x = -7
Multiplying both sides of this equation by 3 to eliminate the denominator, we get:
2x + 12 + 9x = -21
Simplifying this equation gives:
11x = -33
Dividing both sides by 11, we get:
x = -3
We can then substitute this value of x back into either of the two original equations to find y. Using the first equation, we get:
3y = 2(-3) + 12
3y = 6
y = 2
Therefore, the solution to the system of equations is x = -3 and y = 2.
To check the solution, we substitute these values back into both equations:
3y = 2x + 12 3(2) = 2(-3) + 12 6 = 6
This equation is true, so the solution (x = -3, y = 2) checks out.
for the following arithmetic sequences find the explicit formula and the value of the indicated term
This is an Arithmetic Progression.
The common difference is calculated as follows:
\(\begin{gathered} d=T_2-T_1 \\ d\text{ = -1.0 - (-0.6)} \\ d\text{ = -1.0+0.6} \\ d\text{ = -0.4} \end{gathered}\)The first term, a = -0.6
The explicit formula can be calculated using the formula for the nth term of an Arithmetic Progression.
\(\begin{gathered} a_n_{}=\text{ a + (n-1)d} \\ a_n=\text{ -0.6 + (n-1)(-0.4)} \\ a_n=-0.6\text{ -0.4n + 0.4} \\ a_n=\text{ -0.6 + 0.4 -0.4n} \\ a_n=\text{ -0.2 -0.4n} \end{gathered}\)The explicit formula is therefore:
\(a_n=\text{ -0.2 - 0.4n}\)To get the value of a15, substitute n = 15 into the explicit formula gotten above
\(\begin{gathered} a_{15}=\text{ -0.2 - 0.4(15)} \\ a_{15}=\text{ -0.2-}6 \\ a_{15}=\text{ }-6.2 \end{gathered}\)Express the area of the entire rectangle. Your answer should be a polynomial in standard form. An area model for a rectangle that has a height of x plus two and a width of x plus six. The rectangle is broken into four rectangles to isolate each term in the height and the width. The top left rectangle has a height of x and a width of x. The top right rectangle has a height of x and width of six. The bottom left rectangle has a height of two and a width of x. The bottom right rectangle has a height of two and a width of six.
The area of the entire rectangle as polynomial is x^2 + 8x + 12
Expressing the area of the entire rectangle as polynomialFrom the question, we have the following parameters that can be used in our computation:
Height = x + 2; Width = x + 6
Broken rectangles
Height = x; Width = xHeight = x; Width = 6Height = 2; Width = xHeight = 2; Width = 6The area of the rectangle is the product of the dimensions
Adding the heights and the width of the individual rectangles, we have
Height = x + 2; Width = x + 6
So, the area is
Area = (x + 2)(x + 6)
Expand
Area = x^2 + 8x + 12
Hence, the area expression is x^2 + 8x + 12
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PLEASE HELP MEEEEE!! WILL MARK BRAINLIST!!
The dot plots show the number of vehicles sold by salespeople at a dealership during two months. Which statement is best supported by the information in the dot plots?
A. The range of the number of vehicles sold is greater in March than in April.
B. The range of the number of vehicles sold is greater in April than in March.
C. The range of the number of vehicles sold each month cannot be determined, because the number of salespeople is different for each month.
D. The range of the number of vehicles sold is the same for each month.
a spaceship traveled 9/11 of a light-year from earth to planet x and 1/2 of a light year from planet x to planet x to planet y. Then it traveled 1/2 of a light from planet y back to earth. How many light years did the spaceship travel in all.
In this problem the spaceship made 3 travels, so we have to add the distance to find the total light years so:
\(\begin{gathered} \frac{9}{11}+\frac{1}{2}+\frac{1}{2}=\frac{18}{22}+\frac{11}{22}+\frac{11}{22}=\frac{40}{22} \\ \frac{20}{11} \end{gathered}\)Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
6
6
4.5
What type of triangle is the figure above?
acute
isosceles
scalene
✓
obtuse
Answer:
Isoceles
Step-by-step explanation:
Isoceles triangles have 2 sides that are the same length.
What is the measure of angle 1
Find the missing values X and Y on the triangle below
Answer:
Step-by-step explanation:
The total angle is 180 so 180 is 95 is 75
x=75
A traingle has a total of 180
180-50-75=55
y=55
What is the value of x for the triangle shown to the right?
Answer:
x = 6.24
Step-by-step explanation:
x =
Tan32° = OPP/ADJ
Tan32° = x/10
0.624 = x/10
cross-multiply
x = 6.24
working simultaneously for fudge machines complete a big order in 32 hours all the machines at the fudge factory work at the same pace. How many hours would it take to complete the order was four times the number of machines
The number of hours to complete the order is 64.
We have four fudge machines. The four fudge machines, working simultaneously, complete a big order in 32 hours. We know that all the machines work at the same speed.
If only half of the machines will work, then the time taken will be double. This is an inversely proportional relationship. An inverse proportion connection is a sort of proportionality relationship. When two quantities are inversely proportionate, one grows while the other falls.
T = 32/(1/2)
T = 32×2
T = 6
Hence, the order will take 64 hours to be completed if only two machines are working.
The complete question is given below.
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. If only half of the machines are working, in how many hours will the order be complete?
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What rigid motion maps the solid-line figure onto the dotted-line figure?
A reflection
B. rotation
C. translation
Answer:
A. Reflection
Step-by-step explanation:
I believe the answer would be reflection
4 +(5-2)
simplfy pease
Answer:
...7
Step-by-step explanation:
Parantheses first.
4+(3) = 7
Answer:
7
Step-by-step explanation:
\(4 + (5 - 2)\\4 + 3\\7\)
the diffrence of 54 and 32 mutlipted by the diffrence of 8 and 5
Answer:
66
Step-by-step explanation:
the difference of 54 and 32 is 54 - 32 = 22
the difference of 8 and 5 is 8 - 5 = 3
then
22 × 3 = 66
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
1.State the null and alternative hypotheses.
a. H0: µ = 0, Ha: µ > 11.88
b. H0: µ = 0, Ha: µ ≠ 11.88
c. H0: µ = 0, Ha: µ > 12
d. H0: µ = 0, Ha: µ ≠ 12
2.Specify the rejection region for = 0.01. Reject H0 if
a. t > 2.68
b. t < -2.68
c. |t| > 2.68
d. z < 2.68
3.Calculate the p-value
a. 0.01
b. 0.02
c. 0.005
d. 0.05
4. What is your conclusion?
a. Reject H0
b. Fail to reject H0
c. Reject Ha
d. Fail to reject Ha
The null and alternative hypotheses can be stated as follows:
c. H0: µ = 12, Ha: µ ≠ 12
The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.
The rejection region for α = 0.01 can be specified as:
c. |t| > 2.68
This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.
To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.
The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.
Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.
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Find 356*27+537*373-235*73=
Answer:
Using PEMDAS the answer would be 192758
Step-by-step explanation:
(356*27)+(537*373)-(235*73)=
9612+200301-17155=
Solve
192758
Happy learning!
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an amusement park charges $8 for parking in addition to $1.25 per ride ticket. write an equation to represent the total cost to visit the amusement park, then find the number of rides a person can go on, if they have $30. identify your variables.
Answer:
32/125 I think this is the answer
Step-by-step explanation:
Answer: 32/125
Step-by-step explanation:
Jus help im in a timed assigment
If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?
Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
\(A(t) = A(0)(1 + rt)\)
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
\(t = 22, A(t) = 984(22)(12) = 259776\)
Interest rate of 3%, hence \(r = 0.03\)
Then:
\(A(t) = A(0)(1 + rt)\)
\(259776 = A(0)[1 + 0.03(22)]\)
\(A(0) = \frac{259776}{1 + 0.03(22)}\)
\(A(0) = 156491.6\)
The principal loan amount was of $156,491.6.
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Evaluate the expression when c=9 and d=8. 4c+d
please help
Answer:
44
Step-by-step explanation
4c + d
this is an expression and since they provided c and d it is easy to solve
c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.
4(9) + (8)
4 times 9 is 36 so it leaves you with 36 + 8
36 + 8 = 44
I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.
-9x + 2 > 18 or 13x + 15 < -4
Answer:
-9x > 16 or 13x < -19
<=> x< -16/9 or x < -19/13
=> x belong ( - ∞ ; -16/9)
Please help ASAP!! I'm really struggling at this problem. Will give 10 points & to the brainliest!
Answer: B
Step-by-step explanation:
To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.
The answer is B.
1) Apply dilation
2)Find each one x coordinate (x,y)
3) Find the y coordinate for each one
4) See which one matches your answers
Hope this helps!
The sum of the digits of a certain two-digit number is 15. Reversing its digits increase the number by 9. find the number
Answer:
12
Step-by-step explanation:
If the sum of the digits of a certain two-digit number is 15 and reversing its digits increase the number by 9, then the numbers are 7 and 8
Let the two digits numbers be x and y
If the sum of the digits of a certain two-digit number is 15, then;
x + y = 15 .................... 1
If the digits are reversed and increased number by 9
10y + x = 10x + y + 9 ................ 2
From 1, x = 15 - y
Substitute into equation 1 to have:
10y + 15 - y = 10(15-y) + y + 9
9y + 15 = 150 - 9y + 9
18y = 159 - 15
18y = 144
y = 8
Since x = 15 - y
x = 15 - 8
x = 7
This shows that the numbers are 7 and 8
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Answer:
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:
A) 7*3*5 = 105
B) 8*9*1 = 72
C) 3*8*4 = 96
D) 12*3*2 = 72
E) 3*4*5 = 60
Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.
Pls I don't understand
The unit rate of the relationship will be 10/3. The correct option is C.
The given equation is,
y = 10/3x + 8
The general form of an equation of the line is,
y = mx + c
here, the slope will be 10/3
Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.
The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.
A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.
The unit relationship will be 10/3.
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Find the measure of the angle indicated.
Answer:
G = 109
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
12x-10 = 73+ 7x-3
Combine like terms.
12x-10 = 70+ 7x
Subtract 7x from each side.
12x-10-7x= 70+7x-7x
5x-10 = 70
Add 10 to each side.
5x-10+10 = 70+10
5x= 80
Divide each side by 5.
5x/5 = 80/5
x = 16
Now we can find angle G.
7x-3
7*16-3
112-3
109
G = 109
Find AB
Round to the nearest tenth.
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1