Answer:
126°Step-by-step explanation:
given <abd = 48 and <dbc = 78, hence the addition rule is true<abc = <abd + < dbc
Substituting the given values inti the formula;
< abc = 48+78
< abc = 126°
The measure of angle abc is therefore 126°
Which fraction is represented by point a on the number line
Answer:
the Answer is B
Step-by-step explanation:
Account Problem: A checking account is set up with an initial balance of $4,800, and $300 is removed from the account each month for rent (no other transactions occur on the account). How many months will it take for the account balance to reach $1,500?
Answer:
11 months
Step-by-step explanation:
Variable x represents number of months
4800 - 300x = 1500
4800 = 1500 + 300x
4800 - 1500 = 300x
3300 = 300x
3300 ÷ 300 = x
11 = x
Heather has the following averages in her math class:
Homework Avg.: 88
Quiz Avg.: 84
Test Avg.: 92
Final Exam: ??
If the teachers weights Homework at 20%, Quizzes at 20%,
Tests at 40%, and the Final Exam at 20%, what is the minimum
grade Heather can make on the final exam so that she scores a
90 in the class?
Answer:
94
Step-by-step explanation:
multiply the averages by their weighted percentage
x = final exam
88(.2) + 84(.2) + 92(.4) + x(.2) = 90
solve for x
x(.2) = 90 - 71.2 = 18.8
divide both sides by 0.2
x = 94
Last year sales at a bookstore increased from 5000 to 10,000 this year, sales decreased to 5000 from 10,000 what percentage did sales increase last year what percentage did sales decrease this year
Answer:
The answer is 100% for the first one and 50% for the second one.
Use the information below to answer the question: The Tigers scored 3
field goals. How many TOTAL points did the Tigers score from field goals?
Write the equation, make sure you solve it.*
The table shows how many points
are scored for different events in football.
Score
Points
Touchdown
6
Field Goal
3
Two-Point Conversion
2
Extra Point
1
Answer:
they either scored 18 or 9 points from the field goals but i think it is the 9 point if i'm wrong then it is the other one
Step-by-step explanation:
Answer:
3x3=9
Step-by-step explanation
The answer is 9 because the field goal is worth 3 points per goal and 3 x 3 =9
greatest common factor of 24 and 32
Answer:
The GCF is 8
Step-by-step explanation:
which one of the following distances is the longest. .1 meter, .001 km, 101 mm or 101 cm
Answer:
101cm
1000m= 1km,
When 1m is converted to km, it gives 0.001km=101mm.
Therefore the longest is 101cm because when we convert, we will get 1.1m.
Hope this answer will help
Which expression is shown using the model below? A model with 6 rows of 6 squares and 6 rows of 5 squares. 5 (6 + 6) 5 (6 + 5) 6 (6 + 5) 6 (6 + 10)
Answer:
C
Step-by-step explanation:
A model has 6 rows needs 5 8th squares
Answer
6 (6 + 5)
Step-by-step explanation:
i did the quiz ^_^
50 POINTS, PLEASE ANSWER
Part II: Graphically rotate parallelogram PARK counterclockwise 90 about the origin. On your graph, label the following:
1. parallelogram PARK and the coordinates of all four of its vertices
2. parallelogram P'A'R'K and the coordinates of all four of its vertices
3. center of rotation and its coordinate
4. the invisible circle of rotation, its radius and the length of the radius
5. use arrows to show the counterclockwise movement of the parallelogram
Step-by-step explanation:
Part 1:
Rotation counterclockwise 90 °ree; of a point is
Here is a table of the transformation of all four points:
P(-7,0)-> P'(-0,-7) =P'(0,-7)
A(-4,2)-> A'(-2,-4)
R(-3,0)-> R'(0,-3)
K(-6,2)-> K'(-2,-6)
The initial and rotated images are shown attached.
Part 2: it needs to be done with the technology tool that you have. We can check your work if you post what you did.
Answer:
in your final answer, name the equivalent counterclockwise rotation and show all of your work. on your graph, label the following: 1. parallelogram park and the coordinates of all four of its vertices 2. parallelogram p'a'r'k' and the coordinates of all four of its vertices 3. center of rotation and its coordinate 4. the invisible circle of rotation, its radius and the length of the radius 5. use arrows to show the clockwise movement of the parallelogram
Write an equation in slope-intercept forra for the line that passes through (1, - 2) and (3, 7)
Answer:
y = 9/2x -6.5
Step-by-step explanation:
m = (7-(-2))/(3-1)
m = 9/2
b = -6.5
y = 9/2x -6.5
What is the IQR of the data?
Some teenagers collected trash for a beach clean-up.
The data for the number of pounds of trash collected
by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
1 pounds
O 5 pounds
05.033 pounds
15 pounds
Answer:
b edge
Step-by-step explanation:
The interquartile range is 5.
Given,
The data for the number of pounds of trash collected by each teenager is shown below.
26, 26, 21, 22, 20, 25, 35
We need to find the interquartile range
What is the interquartile range?It is given by:
= Q(3) - Q(1)
Q(3) = median of the upper half
Q(1) = median of the lower half.
Arrange in ascending order.
20, 21, 22, 25, 26, 26, 35
We have,
Lower half
Q(1) = 21
Upper half
Q(3) = 26
Interquartile range:
= Q(3) - Q(1)
= 26 - 21
= 5
Thus the interquartile range is 5.
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Is the following relation a function?
Yes
No
Answer:
Step-by-step explanation: The answer of this question is functional because of the dilemma of fractions make it functional.
Answer: yes
Step-by-step explanation: I think that the least confusing way to do this problem is to first write down the ordered pairs that are represented by this mapping diagram.
So we have {(6, -1), (-1, 2), (4, 3), (0, 3)}.
In order for this relation to be a function, the x-coordinate can only
appear once unless we have the same ordered pair more than once.
Since each x-coordinate does appear once, it must be a function.
Students often make the mistake of saying this relation is not a function
because we have the same y-coordinate in two different ordered pairs, 3.
In other words, looking at the mapping diagram students will say that this relation is not a function because we have two x's paired with the same y.
Remember however that the definition of a function doesn't
say that each x must be paired with a different y.
It says that each x must be paired with exactly one y.
So in summary, a function can have the same y-coordinate in
two different points, just not the same x-coordinate.
The exception to this would be if the same ordered pair
is listed more than once in which it would be a function.
Please tell me the function( will mark as brainiest) thanks
Answer:
y = 8x+8
Step-by-step explanation:
We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)
Slope formula is: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the 2 points: [tex]m = \frac{16-8}{1-0}[/tex]
Simplify: m = 8
So now, for the equation y = mx+b, we have m which is y = 8x+b
Now we need to find b by using another point from this linear function.
We can use the point (2,24).
Plug this point into the equation y = 8x+b
24 = 8(2)+b24 = 16 + bb = 8We have now found the equation of the linear function: y = 8x+8
The final velocity of an object moving in one dimension is given by the formula v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.
Solve this equation for a.
a = (v + u)/t
a = t(v + u)
a = t(v – u)
a = (v – u)/t
Answer:
correct answer is a = (v - u)/t
Answer:
correct answer is a = (v - u)/t
Step-by-step explanation:
Need Help Urgently !!
Drag a reason to each box to complete the flowchart proof.
Answer:
1) Linear pair postulate
2) Definition of supplementary angles
Step-by-step explanation:
The required blank space will be filled by a linear pair postulate and definition of supplementary angles.
GIven that,
Proof of measures of angles is given to fill the blank statement.
The angle can be defined as the one line inclined over another line.
Here,
After the step
∠ABD and ∠DBC both are supplymentary angles implies,
linear pair postulate [blank 1]
And,
ABD + ∠DBC = 180
by definition of supplementary angles, the sum is 180. [blank 2]
Thus, the required blank space will be filled by a linear pair postulate and definition of supplementary angles.
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A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one hour how many toys does the new machine make in one hour
Answer:
I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.
Steph-by-step explanation:
The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour
Please hurry!!!
given g(x) = -x - 2, find g(3)
Answer:
-5
Step-by-step explanation:
Plug in 3 as x:
g(x) = -x - 2
g(3) = -3 - 2
g(3) = -5
The length of a rectangle is 3 m greater than two times the width the perimeter of rectangle is 30 m what is the length of the rectangle
Answer:
180m
Step-by-step explanation:
Victor is making recipes for smoothies. His first recipe calls for 2 cups of
strawberries and 7 cups of other ingredients. His second recipe says that 3
cups of strawberries are combined with 9 cups of other ingredients. Which
smoothie recipe has more strawberries compared to other ingredients? Use
ratio tables to justify your answer.
Answer:
His second smoothie recipe
Step-by-step explanation:
Given that Victor has two receipts for smoothies:
The first recipe requires 2 strawberries to 7 cups of other ingredients (2:7),
The second recipe requires 3 strawberries to 9 cups of other ingredients, (3:9).
Let's crate a ratio tables in order to determine which recipe has more strawberry compared to other ingredients.
Ratio tables for first Recipe:
Straw berry | Other ingredients
2 | 7
4 | 2(7) = 14
6 | 3(7) = 21
Ratio Table for Second Recipe:
Straw berry | Other ingredients
3 | 9
6 | 2(9) = 18
9 | 3(9) = 27
Comparing his first recipe and his second recipe, when using 6 strawberries, his second recipe requires more cups of strawberry compared to other ingredients (6:18) than that required in his first recipe (6:21).
Jason is solving a homework problem.
Arianna buys 4 boxes of granola bars. Each box contains 12 granola bars. Arianna eats 8 bars.
Jason writes a numerical expression to represent the situation. His expression, (12- 8) 4, has a mistake.
Complete the explanation of Jason's mistake.
and then subtracted 8 from this
Jason subtracted 8 from 12 when he should have multiplied 12 x
amount.
Enter an expression to show how many granola bars are left, and then solve it.
(12 x
- 8=
8=
Answer:
There are 54 granola bars left.
The sum of the digits of a three-digit number is 21. If the digits are reversed, the new
number is 198 greater than the original. The sum of the first and third digits is one
more than three times the second digit. Find the number.
Answer:
The anwser would be 230
Step-by-step explanation:
Find the standard form of the equation for the circle with the following properties.
Center (−6,−7/6) and tangent to the x-axis
Answer:
[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]
Step-by-step explanation:
So, we know that the center of the circle is at (-6, -7/6).
To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.
Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).
So, find our distance by subtracting our x-values:
[tex]d=r=0-(-7/6)[/tex]
Subtract:
[tex]d=r=7/6[/tex]
So, our distance, which is also our radius, will be 7/6.
Now, we can use the standard form for a circle, which is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:
[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]
We can confirm by graphing (using a calculator):
Name a point non-coplanar to plane Z
Can someone help me please
Answer:
160000
Step-by-step explanation:
4 x 10^4 = 40000
2 x 10^5 = 200000
200000-40000=160000
hope this helps :)
What is the answer for this?
Answer:
is no
Step-by-step explanation:
Answer:
f(g(x)) = x - 39/4g(f(x)) = x - 39B. NoStep-by-step explanation:
Given functions:
f(x) = 1/4(x + 13)g(x) = 4(x - 13)Simplified f(g(x)) and g(f(x))
f(g(x)) = 1/4(4(x - 13) + 13) = x - 13 + 13/4 = x - 39/4g(f(x)) = 4(1/4(x + 13) - 13) = x + 13 - 4*13 = x - 39Checking if f(x) and g(x) are inverse functions:
f(x) = 1/4(x + 13), substituting f(x) and x, with x and g(x)x = 1/4(g(x) + 13)4x = g(x) + 13/4g(x) = 4x - 13/4As we see g(x) is different from the given, so the functions are not inverse
712,350 - 342,802 round to the nearest ten thousands
Answer: 370,000
Step-by-step explanation:
712,350 - 342,802 round to the nearest ten thousands is 370,000.
What is rounding of digit?Rounding is a process to estimate a particular number in a context.
To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.
Now the given expression is,
712,350 - 342,802
Solving we get,
712,350 - 342,802 = 369,548
Now to round to the nearest ten thousands,
Digit at ten thousands is 6.
Digit to right of 6 is 9 which is greater than 5,
Thus round up the number.
So, we get 370,000.
Thus, 712,350 - 342,802 round to the nearest ten thousands is 370,000.
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Q2. What is the unit rate? Type 800 words in 12 minutes.
66 words per minute
The u it rate would be words per minute.
Divide total words by total minutes:
800/12 = 66.666 words per minute.
Round the answer to 66.7 or 67 depending on your choices.
Heeelp!!! Plz help me asap this is my last question for today
Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?
Step-by-step explanation:
10:10:10
If
[tex]x - y = 12[/tex]
[tex] \sqrt{xy } = 3[/tex]
find the valve of
[tex] {x }^{2} + {y}^{2} [/tex]
Answer:
162
Step-by-step explanation:
[tex] { \sqrt{xy} } = 3[/tex]
[tex] = > ( { \sqrt{xy} })^{2} = {3}^{2} [/tex]
[tex] = > xy = 9[/tex]
Also ,
[tex]x - y = 12[/tex]
[tex] = > {(x - y)}^{2} = {12}^{2} [/tex]
[tex] = > {x}^{2} + {y}^{2} - 2xy = 144[/tex]
Putting the value of 'xy' above gives :-
[tex] {x}^{2} + {y}^{2} - 2 \times 9 = 144[/tex]
[tex] = > {x}^{2} + {y}^{2} = 144 + 18 = 162[/tex]
Based on surveys, 97% of students own cell phones. What is the probability that 10 randomly selected
students all own cell phones? Round your answer to 4 decimal places.
Answer:
[tex]Probability = 0.7374[/tex]
Step-by-step explanation:
Given
Represent the probability that a student has a phone with p
[tex]p = 97\%[/tex]
Required
Determine the probability that 10 has
This is calculated as thus:
[tex]Probability = p^n[/tex]
Where n = 10
[tex]Probability = (97\%)^{10}[/tex]
[tex]Probability = 0.97^{10}[/tex]
[tex]Probability = 0.73742412689[/tex]
[tex]Probability = 0.7374[/tex] --- Approximated
