Suppose Tommy walks from his home at (0, 0) to the mall at (0, 5), and then walks to a movie theater at (7, 5). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
24 blocks
Step-by-step explanation:
He walks 5 blocks to get to the mall, another 7 to get to the theatre, and then walks 7 blocks to get to the store and then 5 more to get home.
Need help asp pleaseeeeeeee
Answer:
x=4
Step-by-step explanation:
You can use the app photo math, thats what I did you just take a pic of the problem and it shows you the steps and answer
A motorboat travels 189 kilometers in hours going upstream and 693 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water: km/h
Rate of the current: km/h
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Rate of the boat in still water:81 km/h
Rate of the current: 18km/h
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.
Given
b= speed of boat in still water c=speed of current
"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr = 693 km/7hr = 99 km/hr
b+c=99
"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63
Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81
b+c= 99, so c = 99 - b= 18
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M/2+ m evaluate if m =-6
(-3 + 3y = 9)(8x - 6y = -4)
Step-by-step explanation:
(3y=9+3)(8x-6y=-4)
(3y=12)(8x-6y=-4)
(y=12÷3)(8x-6y=-4)
(y=4)(8x-6y=-4)
Now putting the value of y in (8x-6y=-4)
8x-6*4=-4
8x-24=-4
8x=24-4
8x=20
x=20/8
x=5/2
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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A solid cube of side 8 cm was melted to form a solid circular cone. The base radius of the cone is 4 cm. Calculate, correct to one decimal place, the height of the cone. [Take π = 22/7 ]
A solid cube of side 8 cm was melted to form a solid circular cone.
Side of cube = 8 cm .
Volume of cube = a³where a is side of the cube.
Volume of cube = (8)³
Volume of cube = 8 × 8 × 8 = 512 cm³
The base radius of the cone is 4 cm.
Since the solid cube is melted to form a solid circular cone, but the volume will remains the same.
Volume of cone = Volume of cylinder = 512 cm³
Formula to calculate the volume of cone :
\( \rm Volume (cone) = \dfrac{1}{3} \pi { r}^{2} h\)
Plugging in the values of radius and volume
\(512 = \dfrac{1}{3} \times \dfrac{22}{7} \times {(4)}^{2} \times h \\ \\ 512 = \dfrac{22}{21} \times 16 \times h \\ \\ 512 = \dfrac{352}{21} \times h \\ \\ 512 = 16.76 \times h \\ \\ h = \dfrac{572}{16.76} \\ \\ h \approx 34.1\)
\( \therefore\) The height of the cone is 34.1 cm
Let X and Y be independent Bernoulli random variables with parameters 0.2 and 0.3, respectively. Find the distribution of X Y. List all possible values that X Y can take. Write your answer as a comma-separated list ordered from smallest to largest value. possible values: List the probabilities that X Y takes each of the values. Write your answer as a comma-separated list giving the probabilities in the same order as in (a)
Answer:
a) 0 , 1
b) 0.56 , 0.06
Step-by-step explanation:
X = 0.2
Y = 0.3
Find the distribution of X + Y
a) All the possible values of X + Y
The possible values of X + Y are ; 0,1
b) The probabilities that X + Y takes each of the values
P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56
P( X +Y = 1) = 0.2*0.3 = 0.06
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 7
120 to 179 24
180 to 239 14
240 to 299 1
300 to 359 4
Answer:
Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:
7 + 24 + 14 + 1 + 4 = 50
Therefore, there are 50 individuals included in the summary.
Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.
The revenue for Company A was $239 million, compared to $467 million for Company B. The revenue for Company A was ____% of the revenue for Company B. (Round to the nearest tenth as needed.)
Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B.
What is the percentage?It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.
It is given that, the revenue for Company A was $239 million, compared to $467 million for Company B.
We have to find the % by which A was revenue for Company B.
Suppose x% by which A was revenue for Company B.
⇒$467 of x =$239
⇒467×x=239
⇒x=239/467
⇒x=0.5177 ≈ 0.52
⇒x%=52%
Thus, the revenue for Company A was equal to 52% of that for Company B.
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Help this is really confusing i don’t know how
Find the domain of the rational expression: 6-x/4x+20
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.8% of those who received and opened an email request for a donation and 7.9% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p1 be the proportion who make a donation after receiving an email, and p2 be the proportion who make a donation after receiving a text message.)
The study described is an experiment with two treatments. What are the two treatments?
a. fundraisers
b. donations using text message
c. charitable giving
d. donations using email
e. deadlines
Answer:
b. donations using text message
d. donations using email
Step-by-step explanation:
From the question, it is clear that the people who received these requests were assigned to two groups and these 2 were assigned treatments of if they make donations after either receiving email or text messages after which their respective proportions p1 and p2 are determined.
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
Name a number that has the same absolute value as 23
Answer: A number with the same absolute value of 23 is -23.
Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.
Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.
−6 is 6 away from zero, so the absolute value of −6 is 6.
The number that has the same absolute as 23 is -23.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
An absolute number x is denoted by |x|
If x = -x,
|-x| = x
Now,
|23| = 23
|-23| = 23
So,
-23 has the same absolute value as 23.
Thus,
-23 is the number.
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What is 9.98- 2.53 and 7.68 + 13.07 and 100.03 - 16.28 show your work
Answer:
9.98- 2.53 = 7.45
7.68 + 13.07 = 20.75
100.03 - 16.28 = 83.75
Step-by-step explanation:
9.98
- 2.53
_____
7.45
1 1 - Process of carrying 10's
7.68
+ 13.07
_______
20.75
0000 13 ⇔ What the number becomes after carrying
↑↑↑↑↑
100.03
- 16.28
______
83.75
Happy New Year!
Help me out please. math
Answer:
dont know get a real tutor
Step-by-step explanation:
dontknow
Help please
Use the following figure to find the answer
help asap with this question please
Answer:
Here is the graph for the equation, which is y = 4^x
Step-by-step explanation:
Hope this helps =)
Choose which option shows the plan and which option shows the front elevation of this 3D shape.
Answer:
Think about what surfaces on are the indicated front side. And protrustions like the one shown will have a divider that separates the high side from the low side answer c
HELP PLEASE!!!! It's overdue :(
1: y = 3x + 42
2: y = 3(40) + 42
y = 162
3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657
Plz give brainliest.
If total sales are $54000 your food service total is 42% of your total sales what is your dollar target for food service
Answer:
Your dollar target for food service is $22,680
Step-by-step explanation:
It is given in the question that total sales are = $54,000
your food service is 42% of your total sales = 42% × $54,000
= × 54,000
= 0.42 × 54,000
= $22,680
John has 6 pairs of pants and 3 shirts. How many possible outfits consisting of one shirt and
one pair of pants can he select?
Answer:
4*5*7=140 ways
Step-by-step explanation:
First he has to decide on a pair of pants and he has 4 different choices.
For each of those choices he has a choice of 7 different shirts, so that gives him 4 times 7 = 28 different pant/shirt combinations. (I hope none of the pants are striped and none of the shirts have polka-dots).
For each those 28 possibilities, he has 5 different ties he could select, so altogether he has 28 times 5 = 140 different outfits, and some of them may be acceptable to wear in public.
It is simply , 4*5*7=140 ways.
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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I need help please. The photo is below
A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.
The scale factor for this problem is given as follows:
k = 3.
Hence the side lengths on the dilated image will be three times the side lengths on the original image.
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What is the slope of the line that passes through the points
(
−
8
,
−
3
)
(−8,−3) and
(
−
24
,
1
)
?
(−24,1)? Write your answer in simplest form.
Select the correct answer from the drop-down menu. The missing term in the denominator is
Answer: where is the answer choices
Step-by-step explanation:
Conic Sections - Part 1
The endpoints of a diameter of a circle are (6, 2) and (-2,5).
What is the standard form of the equation of this circle?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
6
Answer:
Step-by-step explanation:
The equation of the circle is
(x – h)²+ (y – k)² = r²
(h, k) = (2, 7/2) and r = 5/2
So,
(x - 2)² + (y - 7/2)² = 24/4
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as:
We have,
The equation of a circle is represented as,
(x – h)²+ (y – k)² = r²
where (h, k) is the center of the circle and r is the radius of the circle.
The coordinates of the center of the circle can be calculated using the endpoints of a diameter of a circle:
(6, 2) and (-2,5).
The midpoint of the diameter is the center of the circle.
x = (6 - 2) / 2 = 4/2 = 2
y = (2 + 5) / 2 = 7/2
The coordinate of the center of the circle is (2, 7/2).
Distance between (6, 2) and (-2, 5)
= √(-2 - 6)² + (5 - 2)²
= √(64 + 9)
= √25
= 5
The radius of the circle.
= 5/2
Thus,
The equation of the circle is
(x – h)²+ (y – k)² = r²
(h, k) = (2, 7/2) and r = 5/2
So,
(x - 2)² + (y - 7/2)² = 24/4
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The Strikers soccer team has 20 members, and 8 of them play offense. What percent of the team members play offense?
Answer:
40%
Step-by-step explanation:
We already have our first value 20 and the second value 8. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
Step 1 ⇒ Y = 8/20
By multiplying both numerator and denominator by 100 we will get:
Step 2 ⇒ Y = 8/20 × 100/100 = 40/100
Step 3 ⇒ Y = 40
Finally, we have found the value of Y which is 40 and that is our answer.