Answer:
23 is the prime number
Step-by-step explanation:
let n, n + 2, n + 4 be the consecutive odd numbers, then
n + n + 2 + n + 4 = 69 ← simplify left side
3n + 6 = 69 ( subtract 6 from both sides )
3n = 63 ( divide both sides by 3 )
n = 21 , then
n + 2 = 21 + 2 = 23 and n + 4 = 21 + 4 = 25
The 3 numbers are 21, 23, 25 with prime number 23
Answer:
[tex]let \: the \: first \: number \: be \: x \\ x + (x + 2) + (x + 4) = 69 \\ 3x + 6 = 69 \\ 3x = 63\\ x = 21 \\ first = 21 \\ second = 21 + 2 =23 \\ third = 21+ 4 = 25\\ prime \: number \: is \: 23 \\ { \boxed{prime = 23}}[/tex]
The English and Social Studies classes are participating in an Egyptian Exhibit. One class has 25 students and the other class has 35 students. The teachers want to divide the students into the largest possible equal groups, with no students left over. If all the groups have the same number of students, how many students are in each group?
Answer:
2 groups of 30
Step-by-step explanation:
If you add together the two classes, you get 60 students. because you want to find the largest possible equal groups, with no students left over, you can divide all the students (60) by two, and you get 30 students in two groups.
The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.
Answer:
The answer is 14.
Step-by-step explanation:
All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.
The nation of Finlandia has 120,000 people. Of these, 20,000 are children under 16, 72,000 have jobs, 8,000 don't have jobs but are looking for work, and 20,000 are retired. With this info, calculate the labor force participation rate and the unemployment rate.
Answer: labor force participation rate =60%
unemployment rate = 6.67%
Step-by-step explanation:
The labor force participation rate is computed as
[tex]\text{labor force participation rate}=\dfrac{\text{Total employed persons}}{\text{Total population}}[/tex]
i.e. [tex]\text{labor force participation rate}= \dfrac{72000}{120000}[/tex]
[tex]= 0.6\ or\ 60 \%[/tex]
The unemployment rate is computed as:
[tex]\text{unemployment rate}=\dfrac{\text{Number of personsdon't have jobs }}{\text{Total population}}\\\\\text{unemployment rate}=\dfrac{8000}{120000}\\\\\text{unemployment rate}=0.0667\ or\ 6.67\%[/tex]
Hence, labor force participation rate =60%
unemployment rate = 6.67%
Write an equivalent expression in expanded form. -1/4(-8x+12)
Answer:
2x - 3
Step-by-step explanation:
The Distributive Property of Multiplication applies here. Multiply each of the two terms inside parentheses by-1/4: 2x - 3
What is the arc length if θ = 2 pi over 3 and the radius is 4 cm?
8 pi over 3
16 pi over 3
pi over 6
3 pi over 4
will give brainiest
my answer is in the image above
Answer:
8 pi/3
Step-by-step explanation:
The arc length is equal to the radius times the angle ( given in radians)
s = r theta
s = 4 *(2 pi /3)
s = 8 pi/3
Four students simplify the expression below: 6 + 4 x 10 ÷ 2 Anshu's solution is 25 , David's solution is 46 , Jimmy's solution is 26 and Lahari's solution is 16 . Show who simplified the expression correctly?
Answer:
Jimmy; 26
Step-by-step explanation:
PEMDAS
Parentheses Exponents Multiplication Division Addition Subtraction
6 + 4 * 10 / 2 = 6 + 40 / 2
6 + 40 / 2 = 6 + 20
6 + 20 = 26
26
Is this true or false!!!
Answer:
true
Step-by-step explanation:
This is true because the basic graph of a fifth degree polynomial with a positive coefficient goes right and up forever(encapsulating y-values until infinity) and left and down forever(encapsulating y-values until negative infinity). This means the range is all real numbers.
Below is a graph to comprehend it more visually:
A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if students work too much and therefore are spending less time on their classes than they should be. The researcher chooses a sample of 150 students and found that the sample mean is 7.10 hours and the sample standard deviation is 5. Construct a 90% confidence interval estimate of the mean hours a week students are working. a. What is the point estimate: _____________b. Find the critical value: ________________ Round to 3 decimal places. c. What is the margin or error: __________________ Round the answer to three decimal places d. Construct the confidence interval: Express the answer as (x,x), ______________ round to one decimal place. e. State the final Conclusion.
Answer:
(a) Point estimate = 7.10
(b) The critical value is 1.960
(c) Margin of error = 0.800
(d) Confidence Interval = (6.3, 7.9)
(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
Step-by-step explanation:
Given
[tex]\bar x = 7.10[/tex] -- sample mean
[tex]\sigma=5[/tex] --- sample standard deviation
[tex]n = 150[/tex] --- samples
Solving (a): The point estimate
The sample mean can be used as the point estimate.
Hence, the point estimate is 7.10
Solving (b): The critical value
We have:
[tex]CI = 90\%[/tex] --- the confidence interval
Calculate the [tex]\alpha[/tex] level
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1 - 90\%[/tex]
[tex]\alpha = 1 - 0.90[/tex]
[tex]\alpha = 0.10[/tex]
Divide by 2
[tex]\frac{\alpha}{2} = 0.10/2[/tex]
[tex]\frac{\alpha}{2} = 0.05[/tex]
Subtract from 1
[tex]1 - \frac{\alpha}{2} = 1 - 0.05[/tex]
[tex]1 - \frac{\alpha}{2} = 0.95[/tex]
From the z table. the critical value for [tex]1 - \frac{\alpha}{2} = 0.95[/tex] is:
[tex]z = 1.960[/tex]
Solving (c): Margin of error
This is calculated as:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
[tex]E = 1.960 * \frac{5}{\sqrt {150}}[/tex]
[tex]E = 1.960 * \frac{5}{12.25}[/tex]
[tex]E = \frac{1.960 *5}{12.25}[/tex]
[tex]E = \frac{9.80}{12.25}[/tex]
[tex]E = 0.800[/tex]
Solving (d): The confidence interval
This is calculated as:
[tex]CI = (\bar x - E, \bar x + E)[/tex]
[tex]CI = (7.10 - 0.800, 7.10 + 0.800)[/tex]
[tex]CI = (6.3, 7.9)[/tex]
Solving (d): The conclusion
We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
The Sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.
Answer:
8 and 17
Step-by-step explanation:
Let the number x and y
Sum of numbers, x + y = 25 -----------( 1 )
One number exceeds other by 9,
that is difference between the numbers is 9, x - y = 9
=> x = 9 + y --------- ( 2 )
Substitute ( 2 ) in ( 1 )
( 9 + y ) + y = 25
2y = 25 - 9
2y = 16
y = 8
Substitute y = 8 in ( 2 ) : x = 9 + y
= 9 + 8 = 17
Therefore the 2 numbers are 8 and 17
Answer:
The answer would be that one number is 8 and the second is 17.
The sum of these two numbers is 25, ad 17 and 8 have a difference of 9
Step-by-step explanation:
Angle Measurements 1”” degree help find out what’s the other side
Answer:
80 degree
Step-by-step explanation:
missing angle + 100 degree = 180 degree (being co interior angles )
missing angle = 180 - 100
missing angle 80 degree
Can someone solve this and show it step by step
3(x + 1) − 5(y + 2) = 12
5(−3 + 2x) − 3(4 − y) = −3
Answer:
x = 3, y = - 2
Step-by-step explanation:
Simplify the 2 given equations
3(x + 1) - 5(y + 2) = 12 ← distribute left side
3x + 3 - 5y - 10 = 12
3x - 5y - 7 = 12 ( add 7 to both sides )
3x - 5y = 19 → (1)
----------------------------------
5(- 3 + 2x) - 3(4 - y) = - 3 ← distribute left side
- 15 + 10x - 12 + 3y = - 3
10x + 3y - 27 = - 3 ( add 27 to both sides )
10x + 3y = 24 → (2)
-------------------------------------------
Solve the 2 equations simultaneously
3x - 5y = 19 → (1)
10x + 3y = 24 → (2)
Multiplying (1) by 3 and (2) by 5 and adding the result will eliminate y
9x - 15y = 57 → (3)
50x + 15y = 120 → (4)
Add (3) and (4) term by term to eliminate y
59x = 177 ( divide both sides by 59 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3(3) - 5y = 19
9 - 5y = 19 ( subtract 9 from both sides )
- 5y = 10 ( divide both sides by - 5 )
y = - 2
Solution is x = 3, y = - 2
A counter in Spencer's kitchen is 4 feet wide and 8 feet long. Spencer wants to replace the
counter with a granite countertop, which would cost $19.00 per square foot. How much would
the granite countertop cost?
Answer:
The granite countertop will cost $ 608.
Step-by-step explanation:
Given that a counter in Spencer's kitchen is 4 feet wide and 8 feet long, and Spencer wants to replace the counter with a granite countertop, which would cost $ 19.00 per square foot, to determine how much would the granite countertop cost the following calculation must be performed:
(4 x 8) x 19 = X
32 x 19 = X
608 = X
Therefore, the granite countertop will cost $ 608.
Which best describes the circumcenter of a triangle?
• A. The point where the three angle bisectors of the triangle inters
•
B. The point where the perpendicular bisectors of the three sides
the triangle intersect
• c. The point where the three altitudes of the triangle intersect
D. The point where the three medians of the triangle intersect
Answer:
B
Step-by-step explanation:
Not much to say but that i the definition. You sing the midpoint of each side, make a perpendicular line and see where the three perpendicular bisectors intersect.
A is the incenter, C sounds like the Orthocenter and D sounds like the centroid.
Aside from being able to tell from the parts of the words, you just kinda have to memorize these.
UHHH HELP ME !!
**
Which description is paired with its correct expression?
5
VX
4-
P
+3
O four less than the quotient of a number cubed and seven, increased by three;
O five times the difference of a number squared and six; 5(6-n")
-4.
O nine more than the quotient of six and a number cubed, decreased by four;
9+
twice the difference of nine and a number squared; 2 (9_n? )
Answer:
the last option is the correct answer
Please help thank you!
Answer:
C
Step-by-step explanation:
There is a difference of 16 between consecutive terms, that is
259 - 243 = 275 - 259 = 291 - 275 = 16
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 243 and d = 16 , then
[tex]a_{n}[/tex] = 243 + 16(n - 1) = 243 + 16n - 16 = 227 + 16n → C
Which of the above numbers is the value of expression equal to?
3.5x105 +4.0 x106 - 2.0 x104
A. 3.542 x 10^5
B. 7.3 x 10^5
C. 4.15 x 10^6
D. 4.33 x 10^6
E. 4.37 x 10^6
Answer:
D.
[tex]4.33 \times {10}^{6} [/tex]
What is the answer and how did you get it
answer is 200 lol pretty easy
Answer:
He sold 200 loaves
Step-by-step explanation:
if he sells twice as many the next week the equation would be
100 times 2 = x
therefore, the answer is 200
Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda contener 1000 metros cúbicos de agua
Answer:
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:
Volumen= longitud*ancho*altura
Y reemplazando los valores se obtiene:
1000 m³= 25 m* 20 m* altura
Resolviendo:
1000 m³= 500 m²* altura
[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]
altura= 2 m
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
If there was a total of 80 vehicles an a percentage of 70% of cars how much car was used
Answer:
56
Step-by-step explanation:
I don't quite understand your question but I assumed you meant what is 70% of 80
Find the value of x.
Answer:
B. x=4
Step-by-step explanation:
It should be the short front length times the total length of the tangent.
6(16)=8(8+x)
96=64+8x
32=8x
4=x
The value of the variable x is 7.5. Option D
How to determine the valueA line that touches the circle at a single point is known as a tangent to a circle.
The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects.
From the information given, we have that;
10(6) = 8(x)
expand the bracket, we get;
60 = 8x
Now, divide both sides by the coefficient of x, we get;
x = 60/8
Divide the values
x = 7.5
Learn about tangents at: https://brainly.com/question/30162650
#SPJ6
what is the diameter radius are and circumference of this circle
Answer:
d = 1.59 c = 5
Step-by-step explanation:
The formula to calculate the area of a circle is
A = π r ^2
This means that if r = 5 cm, the area is
A = 5^2 π cm ^2 = 25 π cm^ 2 ≈
78.539816 cm^ 2
Awnser this for brainliest
Answer:
Missing number is 1
Step-by-step explanation:
3(2x+1)
Using distributive property,
=>3(2x)+2(1)
=>6x+2
Jaclyn estimates that the square root of 50 in the following way:
[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10
Explain why her reasoning is incorrect. Please use complete sentences.
[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
Error made by Jaclyn ⤵
[tex] \sqrt{50} [/tex]
[tex]\sf\red{=\:2√25}[/tex] ❌
Correct way to solve it ⤵
[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Is pi over 2 rational or irrational
Answer:
rational
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanation: It is an irrational number. A number is rational if it can be expressed as a quotient of 2 integer numbers. Number π2 cannot be expressed as a quotient of integers, so it is an irrational number.
6. In a basketball fundraiser, Jasmine can makes 10 free throws per minute. She is sponsored for
$16.25 for each free throw she makes. Draw a graph to show how much money she would earn over
the five minutes of the shootathon.
a) How much did Jasmine raise during the shootathon?
Answer:
Step-by-step explanation:
She raised $812.5 during the shootathon. (graph is attached)
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, In a basketball fundraiser, Jasmine can make 10 free throws per minute. She is sponsored for $16.25 for each free throw she makes.
Since, she is making $16.25 in one minute,
And there are 10 free throws in 1 minute,
Therefore, her earning in minute = $16.25×1×10 = $162.5
Therefore, her earning in 5 minutes = $162.5×5 = $812.5
Hence, She raised $812.5 during the shootathon.
For more references on unit rates, click;
https://brainly.com/question/29781084
#SPJ2
What are the solutions of the quadratic equation 2x2 - 4x = 3?
Answer:
a 1+- square root of 10
Step-by-step explanation:
subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.
A baseball team has nine players whose weight, in pounds, are
174, 177, 194, 162, 196, 169, 187, 192, 178
Find the median and range of those weights
------
(I have to find the mistake in the student sample below)
174, 177, 194, 162, 196, 169, 187, 192, 178
The median is 196
196 - 162 = 34
The range is 34
HELP ME
The student forgot to sort the values first.
The sorted data set is {162, 169, 174, 177, 178, 187, 192, 194, 196}
Cross off the first four items, and cross off the last four items. You'll find that 178 is the only thing left, so it's right in the middle. This is the median.
Another way to find the median is to notice that there are n = 9 items in the list, so n/2 = 9/2 = 4.5 which rounds to 5 represents the slot number where the median is located. The value 178 is in slot 5. This trick only works if n is odd.
The range is the difference between the min and max, so,
range = max - min = 196-162 = 34
The student got the range part correct.
---------------------
Summary:
Median = 178
Range = 34
Find each difference. (10 Points!)
Answer:
1. -6y^4 +4y^2 -12
2. x - 19
Step-by-step explanation:
1.
(6y^4+3y^2-7) - (12y^4-y^2+5)
= -6y^4+ 4y^2- 12
2. 3(x-5) - (3x+4)
= (3x-15) - (3x+4)
= x-19
BRAINLIEST
A designer can make a dress from cotton, satin, or silk and the fastener can be buttons or snaps. How many different combinations of materials does the designer have to choose from if he must use exactly one type of cloth and one type of fastener?
Answer:
If they can make it from 3 materials and 2 fasteners, you can turn it into some kind of chart
cotton-button; cotton-snaps
satin-button; satin-snaps
silk-button; silk snaps.
Using that, which uses the 2 kinds of fasteners and each material, you can conclude that it is----
6 combinations :)
Step-by-step explanation:
hope this helps, if im wrong critique me.
someone help me please. this is annoying. which ones are right?
9514 1404 393
Answer:
B, C, D, E
Step-by-step explanation:
A square has all side equal, opposite sides parallel, and all angles equal (90°). Because all sides are equal, so are adjacent sides. All but the first and last descriptions apply to a square.
The first description is that of a trapezoid, which has exactly one pair or parallel sides. The last description is that of an isosceles (right) triangle, which has sides that are referred to as "legs."
