Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
Help pls
Reasoning Each month, a shopkeeper spends 7x +19 dollars on rent and electricity. If he spends
5x – 2 dollars on rent, how much does he spend on electricity? Use pencil and paper. For which
value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you
found the value(s).
The amount spent on electricity is 2x + 21. And the value(s) of x is the amount the shopkeeper spends on electricity less than $100 is less than 39.5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Reasoning Each month, a shopkeeper spends 7x +19 dollars on rent and electricity. If he spends 5x – 2 dollars on rent.
Then the amount spent on electricity is given as,
⇒ (7x + 19) - (5x - 2)
⇒ 7x + 19 - 5x + 2
⇒ 2x + 21
The value(s) of x is the amount the shopkeeper spends on electricity less than $100 is given as,
2x + 21 < 100
2x < 79
x < 39.5
The amount spent on electricity is 2x + 21. And the value(s) of x is the amount the shopkeeper spends on electricity less than $100 is less than 39.5.
More about the Algebra link is given below.
https://brainly.com/question/953809
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MULTIPLE CHOICE QUESTION A car travels 120 miles in 2 hours. It goes an average of South East direction. What is its velocity? 60 mph south east 45 mph 45 mph south east 60 mph
Answer:
60 miles per hour southeast.
Step-by-step explanation:
We are told that the car is moving southeasternly, so that answers the question right off the bat. The car is moving 120 miles per 2 hours. We need to know how much it moves in one hour though, so we must divide hours and miles by 2. We ger 60 miles per hour.
Velocity will be 60 mph southeast.
What is the difference between velocity and speed?The distance that an item travels in a unit of time is referred to as its speed. It merely takes into account the size of the item and ignores its orientation. Speed is referred to as a scalar quantity in this way. When referring to velocity, however, it is said that velocity is the rate at which displacement changes. A vector quantity, that is.
Given distance traveled by car is 120 miles in 2 hours. Since speed is distance divided by time.
Speed = 60 mph
Also, there is a given direction which is southeast.
Therefore, the velocity of the car will be 60 mph southeast.
Learn more about velocity here:
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The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories are in 8 cups of the cereal?
Answer:
Total calories in 8 cup = 928 calories
Step-by-step explanation:
Given:
Calories in 3/4 cup of cereal = 87 calories
Find:
Total calories in 8 cup
Computation:
Total calories in 8 cup = 8 x 87 x [4/3]
Total calories in 8 cup = 928 calories
OBEJCTS ACCELERATION YOU DON’t have to give an explanation just the answer
Answer:
3m/s
Step-by-step explanation:
F=ma
F=(9)(7)
F=63
F=ma
63=21a
a=3
If a jar contains 5 red marbles, 4 blue marbles, 7 yellow marbles, and 3 green marbles, what is
the probably that a randomly selected marble is red or yellow?
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Answer:
Likely
Step-by-step explanation:
The answer is likely because out of 19 marbles the probablility o choosing a red or yelow marble is 12. When you divide 12 by 19 then you get 63 which is close to the likely side.
15=5x+45
What is the value of x?
15 = 5x + 45
15 - 45 = 5x
-30 = 5x
-30/5 = x
-6 = x
Answer:
x= -6
Step-by-step explanation:
15=5x+45
15-45=5x
-30=5x
-30/5=5x/5
-6=x
x= -6
Please help me in ASAP
Step-by-step explanation:
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PLEASE HELP!!!!!!!!!!! ASAP!!!!!!!!!!!
A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM, heading towards each other. The distance between the cities is 360 miles. The freight train is traveling at 50 mph, the passenger train is traveling at 70 mph.
At what TIME will the trains pass each other?
Answer:
at 1 pm
Step-by-step explanation:
can somebody help me solve for x.
Answer:
8/3
Step-by-step explanation:
x : 4 = 4 : 6
x = 16/ 6
x = 8/3
Help ill reward brainest
One in five 18-year-old Americans has not graduated from high school (The Wall Street Journal, April 19, 2007). A mayor of a northeastern city comments that its residents do not have the same graduation rate as the rest of the country. An analyst from the Department of Education decides to test the mayor's claim. She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school. Compute the point estimate for the proportion of 18-year-olds who have not graduated from high school in this city. (Round your final answer to 2 decimal places.)
Answer:
The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.
Step-by-step explanation:
The point estimate is the sample proportion.
She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school.
This means that:
[tex]p = \frac{20}{80} = 0.25[/tex]
The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.
ANSWER ASAP FOR BRAINIEST AND 100 POINT ASAP
Find the value of x in the triangle.
The total measure of all the angles in a triangle is 180°.
Since there is already a 90° angle, the other 2 angles must also add up to 90°.
The only answer that fits is x = 9.
Check:
9x7 = 63°
3x9 = 27°
Add up = 90°
:)
C (x=18)
is your answer
Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore.
a. Display the findings in a two-way table. What percent of the children in the study had myopia? What is that percent among the children living in Australia and among those living in Singapore?
b. The researchers obtained information for most of the children in the study about their weekly amount of time in hours) spent reading or writing and the weekly amount of time in hours) spent on outdoor activities. Here are the summary statistics:
Time reading/writing Number of children Mean Standard deviation
Australia 109 20.8 13.9
Singapore 611 17.8 8.8
Time outdoors Number of children Mean Standard deviation
Australia 102 13.75 1.02
Singapore 586 3.05 0.12
How do the children from both countries in this study differ in how they spend their time?
c. Does the study suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children? Does it suggest that more time spent outdoors is associated with a greater risk of myopia? Can we draw a conclusion of causality based on this study?
d. The children enrolled in this study were all of Chinese ethnicity. What is the advantage in this study of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity?
Answer:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are approximately 24.867%
iii) The percentage of children living in Australia with myopia are approximately 3.2258%
The percentage of children living in Singapore with myopia are approximately 29.14%
b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore
c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
The study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage is to reduce associated variables the generate more accurate findings or result
Step-by-step explanation:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are;
(4 + 183)/(124 + 628) × 100 ≈ 24.867%
iii) The percentage of children living in Australia with myopia is given as follows;
4/124 × 100 ≈ 3.2258%
The percentage of children living in Singapore with myopia is given as follows;
183/628 × 100 ≈ 29.14%
b. The data for the time spent reading and writing is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 109 [tex]{}[/tex] 20.8 13.9
Singapore [tex]{}[/tex] 611 17.8 8.8
The data for the time spent outdoors is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 102 [tex]{}[/tex] 13.75 1.02
Singapore [tex]{}[/tex] 586 3.05 0.12
From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore
c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore
Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results
which expression is a factor of x^2-5x-6
Answer:
(x - 6)(x + 1)Step-by-step explanation:
These are the factors
First, find the factors of 6 6 / / \ \ 1 2 3 61 and 6 make 52 and 3 also make 5But which one makes -5-3+2=-1 -2+3=1So not 2 and 3-1+6=5 -6+1=-51 and -6 worksThis means the factors as (x - 6) and (x + 1).Hope this helps,
Kavitha
P.S - Have an awesome day!!
(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: √13, 6, 7
Triangle 2: 7, 8, 13
Triangle 3: 10, 11, 12
Triangle 4: √10, 9, 8
Convert 2.88 x 10-12 into standard notation
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Answer: IF you meant 2.88 x 10^-12 The answer is: 0.00000000000288 OTHERWISE i don't know what you were asking
Explanation:
I hope this helped!
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Answer:1.6799999999999997 x 10^1
Helpssbwjmeekndhshhsbdh
Find the mean, median, mode, and range of the following data set.
15, 12, 19, 15, 16, 13, 15.
Mean:
Median:
Mode:
Range:
12 13 15 15 15 16 19
mean: 15
median: 15
mode: 15
range: 7
Answer:
12, 13, 15, 15, 15, 16, 19
Step-by-step explanation:
Mean: 15
Median: 15
Mode: 15
Range: 7
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes. For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes. (Round your answer to four decimal places.)
Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]
Probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3. So
X = 9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 7.2}{2.1}[/tex]
[tex]Z = 0.86[/tex]
[tex]Z = 0.86[/tex] has a pvalue of 0.8051
X = 3
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 7.2}{2.1}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Amira wrote the inequality p + 5 = 18. Which situation is best represented by this inequality?
Answer: Amira added 5 candy bars to the p pile of candy bars there were no more than 18 candy bars in the pile.
Step-by-step explanation: hope this helps
1. Select all the equations where x = 5 is a solution.* A. 2x + 4 = 14 B. 5x = 55 C. 6x + 3 = 14 D. 8 + 3x = 23 E. 6x = 30 F. 5x = 1
Answer:
A,D,E. Hope this helps!
Step-by-step explanation:
A. x=5
B. x=11
C. x=11/6
D. x=5
E. x=5
F. x=1/5
A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope-intercept equation is written out like so:
y = mx + b
M stands for your slope: 1/2
B stands for your y-intercept: 4
So, your equation is y = 1/2x + 4
What are the first six multiples of 18
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
The first six multiples of 18 are :-
18, 36, 54, 72, 90, 108Hope it helps!
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Which expression is equivalent to 6x^2+16x-6
The answer is (2x+6)(3x-1)
There was 7L punch for the birthday party. How many mL punch was there?
Answer:
7000 milliliters of punch for the birthday party
20% of ___ is 10 pls help me ✌
Answer:
200
Step-by-step explanation:
i hope this is right if not sorry
SOMEONE PLEASE HELP!! I NEED TO GET THIS RIGHT
Answer:
middle
Step-by-step explanation:
As you know, there are three doors. Behind one door is a fabulous prize.
Behind the other two doors are bogus prizes. When you pick the first door
another door will open and show you a bogus prize, leaving the door you
picked and the third door closed. You once again pick one of the two closed
doors. You will either get the fabulous prize or the bogus prize
Answer:
What do you mean
Step-by-step explanation:
The sea turtle dove down in the ocean 12 meters. Later the sea turtle was chasing his dinner of fish and dove 7 more meters.
If you are trying to find how deep the turtle is now, the answer would be 19 meters. 12 + 7 = 19.
Hope this helps. Have a nice day.
Select the correct answer.
Choose the number sentence that illustrates the distributive property of multiplication over addition.
6 × (5 + 8) = (6 × 5) + 8
6 × (5 + 8) = (6 + 5) × (6 + 8)
6 × (5 + 8) = (6 × 5) + (6 × 8)
Answer:
Probably B.
Step-by-step explanation: