Answer:
There were 6 guides on Sunday.
Step-by-step explanation:
Same ratio
On Saturday, 120 tourists and 18 guides.
On Sunday, 40 tourists and x guides.
Due to the same ratio:
[tex]\frac{120}{40} = \frac{18}{x}[/tex]
[tex]3 = \frac{18}{x}[/tex]
[tex]3x = 18[/tex]
[tex]x = \frac{18}{3}[/tex]
[tex]x = 6[/tex]
There were 6 guides on Sunday.
What is the solution to this system of equations?
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]
Adding both equations
[tex]-\frac{2}{3}x-y=2[/tex]
[tex]+[/tex]
[tex]\underline{\frac{2}{3}x+y=6}[/tex]
[tex]0=8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
The value of the expression 2(3) +3(2)–3x4–5(2)-5+(7x4) is
or
the value of 2 to the 3rd power + 3 to the second power - 3 * 4 - 5 to the second power divided by 5 + (7 * 4)
Answer: 28
When you simplify it down, you get:
8 + 9 - 12 - 5 + 28.
When you combine all like terms, you get 28.
Also, proof is shown in the image below.
The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.
We have,
Expression:
2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)
Using the PEMDAS rule.
Remove the parenthesis.
2³ + 3² – 3 x 4 – 5² ÷ 5 + 28
Simplify the exponents such as 2³, 3², and 5².
8 + 9 - 3 x 4 - 25 ÷ 5 + 28
Simplify the multiplication such as 3 x 4.
8 + 9 - 12 - 25 ÷ 5 + 28
Simplify the division such as 25 ÷ 5.
8 + 9 - 12 - 5 + 28
Simplify the addition and subtraction.
28
Thus,
The value of the expression is 28.
Learn more about expressions here:
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Plz help I will mark barinlest
Answer: try -2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.
Is this acute obtuse or no triangle
Answer:
Acute
Step-by-step explanation: Acute because it is less than a 50 degree angle and under that is considered an acute angle.
I have like 20 minutes to finish this
Step-by-step explanation:
[tex]6.[/tex]
[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex]7.[/tex]
[tex]Kenny = \frac{1}{8} [/tex]
[tex]Gail = \frac{2}{4} [/tex]
[tex] \frac{1}{8} ? \frac{2}{4} [/tex]
[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]
[tex] \frac{1}{8} < \frac{4}{8} [/tex]
[tex] \frac{1}{8} < \frac{2}{4} [/tex]
[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]
Jenny planned to solve 2/3 of her homework problems on Saturday. However, she got home late and had less time than planned. As a result, she solved only 7/8 of the problems she planned to solve. How many problems were in Jenny's homework if she solved 28 on Saturday?
Answer:
48 problemsStep-by-step explanation:
Jenny planned to solve 2/3 of homework
On Saturday she solved 28 problems, which is 7/8 of the planned number
Planned number is:
28 : 7/8 = 28 * 8/7 = 32 problemsJenny's homework was:
32 : 2/3 = 32 * 3/2 = 48 problemsAnswer:
48 problems
Step-by-step explanation:
trust me, I do RSM too.
The Sanchez family is planning a trip to an amusement
park. The park has two ticket plans.
Plan A offers a weekend pass for $12 plus $0.50 per ride.
Plan B is $1.25 for each ride.
Let x represent the number of rides each person will ride
and y represent the cost per person, in dollars. Which of
these systems of equations could be used to choose a ticket plan?
A. y=0.50x +12
y=1.25x
B. y=12x +0.50
y=x +1.25
C. y=0.50x
y=1.25x
D. y= x +12
y= x +1.25
Help plz:)))I’ll mark u Brainliest
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
We can write a proportion relating the short segment to the full length:
(x+1)/18 = 4/(4+5)
x +1 = 8 . . . . . . multiply by 18 and simplify
x = 7 . . . . . . . . subtract 1
On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snohomish River below. The swimmers stepped off the bridge, and I estimated that they hit the water 1.5 s later. (a) How high was the bridge
Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
4x – 3y = 18
Determine the missing coordinate in the ordered pair (5, ?) so that it will satisfy the given equation.
Answer:
Step-by-step explanation:
when x=5, 4(5)-3y=18
3y=2
y=2/3
The coordinate would be(5,2/3)
The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is
Answer:
[tex]r=\frac{5}{9}(y-32)[/tex]
Step-by-step explanation:
The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.
The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.
Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:
[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 416 grams with a standard deviation of 29. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Zstatistic < Zcritical ; then we reject the null
-0. 790 > - 1.96
Hence, we fail to reject the Null
Step-by-step explanation:
Define the null and alternative hypothesis :
H0 : μ = 421
H1 : μ < 421
Given that :
Sample mean (x) = 416
Sample standard deviation, s = 29
α = 0.025
Sample size, n = 21
This is a lef tailed teast, hence if ;
Decision Rule :
Zstatistic < Zcritical ; then we reject the null
Zcritical at α = 0.025 (1 tailed) = - 1.96
Zstatistic = (x - μ) s/sqrt(n)
(416 - 421) / 29/sqrt(21)
Zstatistic = - 5 / 6.3283188
Zstatistic = - 5 / 6.3283188 = - 0.79
-0. 79 > - 1.96
Hence, we fail to reject the Null
230 calories in a 48 g packet ñ how many calories in a9.6g bag
Answer:
46
Step-by-step explanation:
230 divided by 5
Help me !!!
!!
!!
!!
Answer:
They would weigh 47.5 pounds on the moon or if you want to use kilograms it would be 21.5 kilograms.
Step-by-step explanation:
Pound way If you want to find the answer in pounds you first want to add 175 and 110 to get 285. Next you divide it by 6 because you want to find 1/6 of it and you should get 47.5 pounds.
Kilogram way If you want to find the answer in kilograms you would first add 79 and 50 to get 129. After you find that, you would divide it by 6 because you want to find 1/6 of it. You should get 21.5 so 21.5 kilograms would be your answer.
I apologize if I made any mistakes.
A boat can travel 228 miles on 19 gallons of gasoline. How much gasoline will it need to go 204 miles?
Help, help!!! Please:)
Answer: b
Step-by-step explanation:
How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
Out of the 4,233 visitors at an art exhibition, 1,509 were men, 1,866 were women, and the rest were children. How many more adults than children went to the exhibition?
Answer:
2517
Step-by-step explanation:
1,509 were men, 1,866 were women 1,509 + 1,866 = 3,375
3,375 were adults, 4,233 total people 4,233 - 3,375 = 858
858 were children, 3,375 - 858 = 2517
. In a study, a radiologist correctly identifies 80 cases that contain a lesion (abnormality) and falsely diagnoses 10 cases as normal when they are not. In addition, he incorrectly diagnoses 15 cases as abnormal. However, he correctly identifies 165 normal cases. Calculate the diagnostic sensitivity and specificity.
Answer:
The sensitivity rate of the test is 88%. For its part, the specificity rate of the test is 91%.
Step-by-step explanation:
The sensitivity of a medical test is its ability to detect positive cases of the disease, while the specificity of the test is its ability to detect negative cases.
In total, there are 270 cases:
-80 positives
-10 false negatives
-15 false positives
-165 negatives
Thus, to calculate both concepts, the following calculations must be performed:
Sensitivity = positives / (positives + false negatives)
X = 80 / (80 + 10)
X = 80/90
X = 0.88
Thus, the sensitivity rate of the test is 88%.
Specificity = negatives / (negatives + false positives)
X = 165 / (165 + 15)
X = 165/180
X = 0.91
For its part, the specificity rate of the test is 91%.
HELP!!! LOTS OF POINTS
A bakery did a survey among 100 customers to find their food preference . The customers were asked about their preferences for cupcakes or brownies. Out of the total 72 people who liked cupcakes, 37 also liked brownies. There were 59 people who liked brownies.
Part A. Summarize the data by writing the values that the letters A to I in the table below represents
PART B. What percentage of the survey respondents did not like cupcakes or brownies ?
PART C . Do the survey results reveal a greater dislike for brownies or cupcakes? Justify your answer
(I added a picture down below)
Answer:
Answer:
put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle
For the ppl who can click on brainly:
Part A:
Like Cupcakes
Do Not Like Cupcakes
Total
Like Brownies
37
22
59
Do Not Like Brownies
35
6
41
Total
72
28
100
Part b: 6
Part c: You really have to figure out how to word this 37- 72=35 35-41=6
hope it helps
Question Help
Mia has 28 stamps. Alex has 49 stamps, and Michael has 77 stamps. Use the GCF and the
Distributive Property to find the total number of stamps Mia, Alex, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property
28 +49 +77 = 0
(Use the operation symbols in the math palette as needed. Do not simplity)
3
More
Enter your answer in the answer box and then click Check Answer
Clear Al
C
1
remaining
Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Step-by-step explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
what is 12.8 rounded to the nearest hundred
Answer:
13 will the answer of this qn
A rectangular park is 100 yards wide and 150 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.
Please help me
Answer:
ok
Step-by-step explanation:
The sides of a triangle have lengths 10, 16, and 18. What kind of triangle is it?
is it acute right or obtuse ?
Eva earned the following test scores in science: 82, 100, 96, 90, 91 Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply. After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. After adding the 0 test score, the mean would be affected. After adding the 0 test score, the median would be the most appropriate measure of center to describe the data. Before the missed test, Eva’s median score was 96. Before the missed test, Eva’s median score was 91. Before the missed test, Eva’s mean score was 91.8.
Answer:
2,3,5,6
Step-by-step explanation:
Answer:
2,3,5,6 just did test and im from future edge 2023
Step-by-step explanation:
6 more than a quotient of nine and a number p
Answer:
9/p+6
Step-by-step explanation:
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
Please include step by step explanation bc I've been having trouble with this