Answer:
Step-by-step explanation:
68 1/4
The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.
What is a mixed fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Assume the distance covered before their first stop for gas be 'x'
Total distance travelled is 381 miles
We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is
x + 3x + 58 3/4 = 381
4x + 58 3/4 = 381
x=68 1/4 in mixed fraction
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97 term of-5,-23,-41
Answer:
-1147
Step-by-step explanation:
Answer:
-1733
Step-by-step explanation:
-5-96*18 = -1733
Which is greater?
48 fl oz
10 3/4 c
A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.
Answer:
24mph
Step-by-step explanation:
convert 20 mins and 30 mins to hrs by dividing by 60
4/(20/60)=12
6/(30/60)=12
12+12=24
Cyclist's average speed is 12 mph.
What is Speed?Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.
It can also be defined as the rate of change of position of anything in any direction.
Speed is a scalar quantity as it does not have direction.
Total distance travelled by the cyclist = 4 miles + 6 miles
= 10 miles
Total time taken by the cyclist = 20 minutes + 30 minutes
= 50 minutes
We need the average speed in mph or miles per hour.
We know that,
60 minutes = 1 hour
1 minute = 1/60 hour
50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour
= [tex]\frac{5}{6}[/tex] hour
Average Speed = Total distance travelled / Total time taken
= 10 miles / (5/6) hour
= 10 × [tex]\frac{6}{5}[/tex]
= 12 miles per hour
Hence the average speed of the cyclist is 12 miles per hour.
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Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?
Answer:
static electricty
Step-by-step explanation:
it is preserved charge
Answer:
its electroboom not boy
Step-by-step explanation:
lol its static
Please show work!! I'll give you brainliest
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answer:
b=34.2m
Step-by-step explanation:
equation for area of parallelogram
a=b×h
in which b is the base(length) and h is the height
[tex]690.84 = b \times 20.2[/tex]
[tex]b = \frac{690.84}{20.2} [/tex]
b=34.2m
What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).
What is the equation of the line that passes through the point (5, 6) and has a slope
of 2
Answer:
y = 2x - 4
Step-by-step explanation:
Given:
x1 = 5
y1 = 6
slope (m) = 2
Solution:
y - y1 = m ( x - x1 )
y - 6 = 2 ( x - 5 )
y - 6 = 2x - 10
y = 2x - 10 + 6
y = 2x - 4
Which property is shown here? (-3 + 9) + 1 = -3 + (9 + 1)
Answer:
Commutative property
Step-by-step explanation:
Answer:
Associative property I think
Step-by-step explanation:
Find the common ratio of the geometric sequence 9, -18, 36, ...
Answer:
-2.
Step-by-step explanation:
-18/9 = -2.
36/-18 = -2.
We multiply by -2 to get the next number in the sequence.
Common ratio is -2.
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?
Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]In this problem:
1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].The mean and the standard error are given by:
[tex]\mu = p = 0.62[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]
The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]
[tex]Z = -2.13[/tex]
[tex]Z = -2.13[/tex] has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
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I need help with these three questions I have the question and math problems all in the screenshots please help :)
Answer:
Screenshot 1 = Option B (5x-1)²
Screenshot 2 = (x+9)(x+9)
Screenshot 3 = Option 3 100x²-20x+1
Step-by-step explanation:
Screenshot 1 -
(5x-1)² = (5x-1)(5x-1)
5x · 5x = 25x²
5x · -1 = -5x
5x · -1 = -5x
(-1) · (-1) = 1
25x²- 5x- 5x + 1 = 25x² - 10x + 1
Screenshot 2 -
(x+9)(x+9)
x · x = x²
x · 9 = 9x
x · 9 = 9x
9 · 9 = 81
x² + 9x + 9x + 81 = x² + 18x + 81
Screenshot 3 -
100x²-20x+1
(10x-1)(10x-1)
10x · 10x = 100x²
10x · (-1) = -10x
10x · (-1) = -10x
(-1) · (-1) = 1
100x² - 10x - 10x + 1 = 100x² - 20x +1
A tank contained 35 liters of water. After some water was poured out, it was 2/5 filled. How much water was poured out from the tank?
Answer:
21litres
Step-by-step explanation:
2/5 of 35litres of water was left in the tank
2/5 × 35 = 14litres
14litres remained
Amount of water poured out= 35-14
= 21litres
Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?
Step-by-step explanation:
C(x) = 1550 - 50x
With C(x) the cash you have every month (x).
Now we solve:
1550 - 50x < 0
So it becomes:
50x > 1550
x > 31
The 32nd month you'll be broke.
The following circular spinner has 10 sections of equal size. If the spinner is spun twice, what is the probability that the spinner lands on an odd number both times?
Answer:
The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.
Step-by-step explanation:
hope this helps you mark me brinilylist
Which statements are true about Gretchen's adjusted data set?
The data set is approximately symmetric.
The center moved farther from the center of Manuel's data set.
a The center moved closer to the center of Manuel's data set.
The spread values are closer to the spread values of Manuel's data set.
The data set is skewed left.
The spread values are farther from the spread values of Manuel's data set.
Answer:
The spread values are closer to the spread values of Manuel’s data set.
The data set is approximately symmetric.
The data set is skewed left.
Step-by-step explanation:
i got it right.
The true statements bout Gretchen's adjusted data set are (1), (4), and (5).
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
It is given that:
Which statements are true about Gretchen's adjusted data set:
The options are:
The data set is approximately symmetric.The center moved farther from the center of Manuel's data set.The center moved closer to the center of Manuel's data set.The spread values are closer to the spread values of Manuel's data set.The data set is skewed left.The spread values are farther from the spread values of Manuel's data set.As we know,
The spread values are more similar to Manuel's data set's spread values, and the data set is roughly symmetric and tilted to the left.
The true statements are:
The data set is approximately symmetric.The spread values are closer to the spread values of Manuel's data set.The data set is skewed left.Thus, the true statements bout Gretchen's adjusted data set are (1), (4), and (5).
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Kiara bought fabric to make a dress and a sewing machine. The total cost of her purchase, $80.50, included both the cost of her sewing machine
Write an equation to determine the cost of fabric per foot
find the cost of fabric per foot
The formula for electrical energy, P, is P = I2R, where I is current and R is resistance. The formula for I in terms of P and R is ....
Answer:
[tex]i = \sqrt{ \frac{p}{r} } [/tex]
Please show your work !! 3and 4
Step-by-step explanation:
#3. 3^⅓ × 9^⅓ ......make the bases the same
3^⅓ × (3²) ^⅓
3^⅓ × 3^⅔ .....since the bases are the same, add the powers
3^ (⅓+⅔)
3^1
3
#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5
(x + 6) ^3/5 *5/3= 8^¹*5/4
x + 6 = 8^5/3
x + 6= ( 3√8)^5
x + 6 = 2^5
x + 6 = 32
x = 32 -6
x = 26
hope this helps!
Not sure though
3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?
O 23%
38.5%
061.5%
077%
The percentage of the people that were satisfied with the bus company's performance is: B. 38.5%
Given the following data:
Population = 200 peopleSatisfied people = 77 peopleTo determine the percentage of the people that were satisfied with the bus company's performance:
In this exercise, you're required to find the number of the people that were satisfied with the bus company's performance as a percentage of the total population in this survey.
Thus, we would use this formula:
[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]
Percentage = 38.5%
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Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue
The probability of picking a marble that is not blue is 5/6
The proportions of the balls are given as:
[tex]Red = \frac 12[/tex]
[tex]White = \frac 13[/tex]
[tex]Blue = 6[/tex]
The probability of picking a ball that is not blue is:
[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]
So, we have:
[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]
Rewrite the fractions as equivalent fractions
[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]
Take LCM
[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]
Add 3 and 2
[tex]P(Not\ Blue) = \frac {5}6[/tex]
Hence, the probability of picking a marble that is not blue is 5/6
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pleaseee help lol also show work if you can please
Answer:
Answer is x = 31.5
Step-by-step explanation:
Explanation is in the picture. Pls give brainliest. :D
Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
Answer:
75FT B
Step-by-step explanation:
if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B
triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²
What did the British hope to achieve by establishing the Dominion of New England? a stronger colonial stance against New France more self-government in the colonies firmer control over an increasingly independent New England the reestablishment of royal control over New York and New Jersey
Answer:
Britain's goal with the Dominion of New England was to conglomerate all the governance of the colonies under one governor, a governor that would be able to properly enforce British laws. Before the Dominion was created, New England colonies were ruled under individual charters that allowed for self-government.
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
C
Step-by-step explanation:
y = 10
x = 8
The y intercept is 0 and the line runs through (0,0)
m = y / x This formula can only be used when the y incept is 0.
m = 10/8
m = 5/4
Equation
y = 5/4 x
3
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
STUDY
1. Simplify the expression below
5p + 14p
4(x - 2) + 6x
2. Evaluate
Answer:
(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.
Step-by-step explanation:
Answer:
5p + 14p= 19p
4 (x-2)+6x
4x-8+6x
10x-8
how many roots does the quadratic function h(x)+=x2^2-3x+6 have
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic etc.
A quadratic polynomial has a degree of 2, hence it has only 2 roots.
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
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What is the y intercept of the line y + 11=-2(x+1.5)
[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]
what is the equation of this graph?
Answer:
y = x³ +2x² +x -1
Step-by-step explanation:
The attachment shows the four points we can read from the graph and the cubic regression function that fits them.
y = x³ +2x² +x -1
_____
Additional comment
It is useful to become familiar with the regression function capability of your graphing calculator or spreadsheet. Free or inexpensive apps are available for tablet or phone, and on the web.