Answer:
x = 60
Step-by-step explanation:
(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)
(2x + 60)° = 180°
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7
(5x + 2) + (4x + 5)
= 5x + 2 + 4x + 5
= 5x + 4x + 5 + 2
= 9x + 7
plzz help me solve this question i need correct question i will mark you as a brainliest and I will give 5.0 rating anf thanks if ur answer will be correct
Answer:
I. p = 7
II. 17 litres
Step-by-step explanation:
I. Determination of the value of p
Mean = 17.7
p =.?
Let the number of litre be L
Let the number of motorist be M
Mean = summation LM / summation M
Summation of LM = (16×11) + (17×10) + (18×p) + (19×4) + (20×8)
= 176 + 170 + 18p + 76 + 160
= 582 + 18p
summation M = 11 + 10 + P + 4 + 8
= 33 + p
Mean = summation LM / summation M
17.7 = 582 + 18p / 33 + p
Cross multiply
17.7(33 + p) = 582 + 18p
584.1 + 17.7p = 582 + 18p
Collect like terms
584.1 – 582 = 18p – 17.7p
2.1 = 0.3p
Divide both side by 0.3
p = 2.1 / 0.3
p = 7
II. Determination of the median number of litre.
Let the number of motorist be M (i.e the frequency)
summation M = 11 + 10 + P + 4 + 8
p = 7
summation M = 11 + 10 + 7 + 4 + 8
summation M = 40
The median is the middle term i.e
Median = (summation M / 2)ᵀʰ motorist
Median = (40 / 2)ᵀʰ motorist
Median = 20ᵀʰ motorist
Considering the table in the question above, the 20ᵀʰ motorist has 17 litres.
Therefore, the median number of litres is 17 litres.
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
A tennis court is surrounded by a fence so that the distance from each boundary of
the tennis court to the fence is the same. If the tennis court is 72 feet long and 30
feet wide, what is the area of the entire surface inside the fence?
The area of the entire surface will be 2160 feet Wide/Long.
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x≥1
Step-by-step explanation:
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×[tex]2\frac{1}{2}[/tex]
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
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Find the value of x when 27 - 2x + 1 = 729+ 2x + 3
Answer:
[tex] - 2x - 2x = 729 + 3 - 27 - 1 \\ [/tex]
[tex] - 4x = 704[/tex]
[tex]x = -704 \div 4 = -176[/tex]
What is the value of a?
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]
A satellite television company charges a one-time installation fee of $55 and a monthly service charge of $46. Elizabeth was installed this year and has spent a total of $285.00 on her satellite connection. The equation 55 + 46x = 285 can be used to represent her expenses so far. What does the variable x represent in this situation?
Answer:
The monthly service charge
Step-by-step explanation:.
The table shows the number of hours spent practicing
singing each week in three samples of 10 randomly
selected chorus members.
Time spent practicing singing each week (hours)
Sample 1 12 13 11 8 9 7 4
8 9 10 Mean = 9.1
Sample 2 7 12 11 8 9 8 12 8 9 10 Mean = 9.4
Sample 3 11 9 8 12 8 10 7 8 7 9 Mean = 8.9
Which statement is most accurate based on the data?
A. A prediction based on the data is reliable, because the means of
the samples are close together.
OB. A prediction based on the data is reliable, because each sample
has 10 data points.
O C. A prediction based on the data is not completely reliable, because
the means are not the same.
D. A ediction based on the data is not completely reliable, because
the means of samples 1 and 2 are greater than 9 and the mean of
sample 3 is less than 9.
PREVIOUS
Answer:
A prediction based on the data is reliable, because the means of the samples are close together.
Step-by-step explanation:
Test approved
The most accurate statement is A. A prediction based on the data is reliable, because the means of the samples are close together.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
Given three data sets.
All the samples have 10 data points.
Number of data points = 10
Mean of sample 1 = 9.1
Mean of sample 2 = 9.4
Mean of sample 3 = 8.9
We can see that the mean of the three samples is so close to each other.
So the data is reliable.
Hence the option is A.
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WILL GIVE BRAINLST
hAVE A GOOD DAY
Answer:
really!!?? thank you!!! need one! ;w;
Step-by-step explanation:
Answer:
put it at 4.5
Step-by-step explanation:
put it at 4.5 because 20's square root is 4.472 but it says approximately so you need to round 4.472 to 4.5
How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.
A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.
Answer:
I don't know
Ich bin fett
I'm just a fat boy watching ph once a month
Step-by-step explanation:
bobo Ampt
Laura kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have left at the end of the month?
Answer:
$25
Step-by-step explanation:
she received$12 five times
12×5=60 ...(1)
she earned$5 two times for yard work
5×2=10....(2)
(1)+(2).... 60+10=70
Bought dog food and ticket
30+15=45
70-45=25
Answer $25 is what she is left with at the end of the month
Answer:
She would have 5 dollars left
Step-by-step explanation:
Need help on this please
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
Speed = distance / time
= 6/3 =2 ft/sec
Time = distance / speed
= 60/2
= 30 seconds
7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer
Answer:
12 square units
Step-by-step explanation:
The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the given grid, the following can be observed for triangle STU.
base SU = 6 units
height = 4 units
Thus,
area of triangle STU = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 6 x 4
= 3 x 4
area of triangle STU = 12 square units
The required area of triangle STU is 12 square units.
Olga saves $15 from every paycheck to save up for a new game system that cost $399. Currently, she has $360 saved. Ignoring any taxes on the purchase, how many more paychecks does she have until she has enough money saved to buy the game system?
Answer:
3
Step-by-step explanation:
399-360=39
Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.
Answer:
02920
Step-by-step explanation:
92823
Can someone please help ?!?
Answer:
the answer would be D
Step-by-step explanation:
sec = 1/cos
Plzzz help. Giving everything.
Answer:
d. 260. is the answer.
If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?
Hurry please!
Answer:
2nd answer choice :)
Step-by-step explanation:
The new figure produced is given below.
Option C is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the figure be in the first quadrant.
Now,
Rotation of 180-degree means,
The figure will be in the third quadrant.
Now,
Dilation with a factor of 1/2.
This means,
The figure will shrink by 1/2.
Thus,
The new figure is given below.
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A quality control inspector routinely takes random samples of 200 cans of fruit cocktail produced in a packing
plant and calculates the proportion of cans from each sample with at least 3 cherries. Suppose that 98% of
fruit cocktail cans produced in that packing plant contain at least 3 cherries
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.98
0.98
Answer:
A
Step-by-step explanation:
Khan Academy
WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!
Find the missing number in each sequence.
40, ___ , 37 1/3 , 36
An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Enter your answer in the box.
Answer:
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of red paint for one batch of orange paint = 1/3 of a cup
Amount of yellow paint for one batch of orange paint= 1/3 of a cup
Amount of red paint available = 2 cups
Amount of yellow paint available = 3 cups
2. How many batches of orange paint can she make?
2 cups of red paint = 6/3 = 6 batches of orange paint
3 cups of yellow paint = 9/3 = 6 batches and it remains one cup of yellow paint
The artist can make six batches of orange paint and it remains one cup of yellow paint
Step-by-step explanation:
Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6
Answer:
X Y
10 7
8 5
6 3
Step-by-step explanation:
Not much to explain - just put a number 3 smaller than X into column Y
The required table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The rule is given in the question, as follows:
y is 3 less than x
For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.
For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).
Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).
The table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
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FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
PLEASE ANSWER FAST!! I WILL GIVE BRAINLIEST :)
Which statement best describes the association between variable
X and variable Y?
A. moderate positive association
B. strong negative association
C. perfect negative association
D. no association
Kenji has 54 books, 17 of the books are mysteries. 22 of the books are adventure stories. The rest of the books are about animals. How many of the books are about animals?
Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help