The sum of three consecutive even numbers is 108. Write and evaluate an expression in terms of x to determine the smallest of the three numbers. Include parentheses in your expression.
Answer:
[tex]34[/tex]
Step-by-step explanation:
Let the first number be [tex]x[/tex]
The next number be [tex]2[/tex] more than the previous as it is an even number
The second number is [tex]x+2[/tex]
and the last number is [tex]x+4[/tex]
The sum of the numbers is [tex]108[/tex], so the expression will be
[tex]x+(x+2)+(x+4)=108[/tex]
[tex]\Rightarrow 3x+6=108[/tex]
[tex]\Rightarrow x=\dfrac{108-6}{3}[/tex]
[tex]\Rightarrow x=34[/tex]
The smallest of the three numbers is [tex]34[/tex].
Three lines intersect at a common point. In the figure below, m∠1=x°, m∠2=2x°, and m∠3=75°
Which equations can be used to determine the value of x? Select all that apply.
Answer:
I think that 2,4,5 are the correct answers . hope it helps .. :)
Answer:
B,D,E should be correctStep-by-step explanation:
n - 6 > -4 or 2n - 9 < -13
Answer:
the answer is
N>2 or N<-2
Step-by-step explanation:
Answer:
This is the answer N>2 or N<-2
One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
about 7.6
Step-by-step explanation:
I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.
a^2+b^2=c^2
The value of a is the first leg (7cm), and the value of b is the second leg (3cm).
So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.
In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.
A car dealership offers customers two pricing options for vehicle repair. Option 1: pay $80 per hour of wok. Option 2: pay a standard fee of $100 plus $400 per hour of work. What is the initial value and the rate of change for option 1
Answer:
1: The initial value for option one is not charged
The rate of change for option 1 is $80/hr
Step-by-step explanation:
1. From the pricing options at the car dealership we have;
Option 1
Initial value = Not stated
Fee rate per hour of work = $80
Option 2
Standard fee = $100
Fee rate per hour of work = $400
The initial value for option one is not charged
The rate of change = The increase in payment for each increase in one hour of work = $80/hour
Mathematically, we have;
[tex]The \ rate \ of \ change = \dfrac{\Delta Payment}{\Delta Time} = \dfrac{\$80 - \$0}{1 \, h- 0 \, h} = \$ 80/hr[/tex]
A school guidance counselor is concerned that a greater proportion of high school students are working part-time jobs during the school year than a decade ago. A decade ago, 28% of high school students worked a part-time job during the school year. To investigate whether the proportion is greater today, a random sample of 80 high school students is selected. It is discovered that 37.5% of them work part-time jobs during the school year. The guidance counselor would like to know if the data provide convincing evidence that the true proportion of all high school students who work a part-time job during the school year is greater than 0.28.
The power of this test to reject the null hypothesis if p = 0.747 is 0.59 using a significance level of α = 0.05. What is the interpretation of the power of this test?
If the true proportion of high school students who work a part-time job during the school year is p = 0.747, there is a 0.59 probability that the guidance counselor will find convincing evidence for Ha: p > 0.28.
If the true proportion of high school students who work a part-time job during the school year is p = 0.747, there is a 0.59 probability that the guidance counselor will find convincing evidence for Ha: p = 0.28.
If the true proportion of high school students who work a part-time job during the school year is p = 0.28, there is a 0.41 probability that the guidance counselor will find convincing evidence for Ha: p > 0.28.
If the true proportion of high school students who work a part-time job during the school year is p = 0.28, there is a 0.41 probability that the guidance counselor will find convincing evidence for Ha: p = 0.28.
The interpretation of the power of this test is that A. If the true proportion of high school students who work a part-time job during the school year is p = 0.747, there is a 0.59 probability that the guidance counselor will find convincing evidence for Ha: p > 0.28.
What is Probability?This refers to the possibility of an event occuring and this is used in statistics and mathematics to make calculations and predictions.
Hence, we can see that the power of the test to reject the null hypothesis if p = 0.747 is 0.59 using a significance level of α = 0.05, the proportion of high school students working is that there is a 0.59 probability that the guidance counselor will find convincing evidence for Ha: p > 0.28.
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The amount of time Mary spends on the phone each month can be thought of as a random variable that is approximately normally distributed. Mary spends an average of 40 hours on her phone with a standard deviation of 4 hours. Find the probability that Mary spends between 30 and 40 hours on the phone.
Answer:
0.4938
Step-by-step explanation:
Given that:
Mean, m = 40
Standard deviation, s = 4
Probability of spending between 30and 40 hours on phone :
Zscore = (x - mean) / standard deviation
P(Z = 40) - P(Z= 30)
((40 - 40) / 4) - ((30-40) / 4)
(0/ 4) - (-10/ 4)
P(Z < 0) - P(Z <-2.5)
P(Z^ 0).=0.5 ; P(Z < - 2.5) = 0.0062097
0.5 - 0.0062097
P = 0.4938
Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3
meters.
Answer:
D. 600√3Step-by-step explanation:
Refer to your previous question:
https://brainly.com/question/22624022Radius of the inscribed circle is the apothem of the hexagon.
Apothem (a) and half of the side (s) make a 30-60-90 right triangle.
The ratio of the legs, as per property of 30-60-90 triangle:
s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10Half the side is s = 10 units, then side of the hexagon is 20 units.
The area of the hexagon:
A = 1/2Pa, P- perimeter, a- apothem A = 1/2(6*20)*(10√3) = 600√3Correct choice is D
6. Which expression is equivalent to -21 + 28x? *
Answer:
21/28
Step-by-step explanation:
Are there any answer choices?
-21 + 28x = 0
28x = 21
Divide by 28
x = 21/28
Native african religions have a god that is....
NO LINKS OR WEBSITES YOU WILL GET REPORTED!!!!
XTRA POINTS PLUS BRAINLIEST TO CORRECT ANSWER!!!!
SORRY NOT MATH BUT HISTORY!!!
PLZ SOMEONE HELP ME!!!
ASAP!!! PLZ!!
Step-by-step explanation:
Traditional african religions or traditional beliefs and practices of african people are a set of highly diverse belief that includes various ethnic religions. Generally, these traditions are oral rather that scriptural and passed down from one generation to another through folk tales, songs and festivals, include belief in an amount of higher and lower gods, sometimes including a supreme creator or force, belief in spirits, veneration of the dead, use of magic and traditional African medicine. Most religions can be described as animistic with various polytheistic and pantheistic aspects. The role of humanity is generally seen as one of harmonizing nature with the supernatural.
Solve:
10+6X = 15+9x-3x
There is a direct path from Gail's house to the store. Do to construction, the direct route is closed and Gail must travel 6 miles east and an 8 miles north in order to get to the store. How long is the direct path from Gail's house to the store?
A)10 miles
B)12 miles
C)14 miles
Answer:
10 miles
Step-by-step explanation:
6 squared plus 8 squared = 100
the square root of 100 is 10 which is the hypotenuse of the route due to construction
Find the length of the hypotenuse of the right triangle.
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Answer: 34
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: C=34
Step-by-step explanation:
[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]
Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?
Answer:
5 pencils per box
Step-by-step explanation:
Helpp me find the answer ASAP!!! plss!!
2.) Whats the answer for EBD
4.) Whats the answer for PNS, NSR, and NPR
Answer:
Perpendicular
90 degrees
Step-by-step explanation:
When perpendicular lines intersect they form 4 right angles. Since these lines meet at 90-degree angles they must be perpendicular. Also, <ABC is directly across from <EBD, this means they are vertical angles. Vertical angles are congruent, so <EBD measures 90 degrees.
10 students are competing in a dance competition. How many was can you award first, second, and third place?
Given:
Total number of students = 10
To find:
How many was can you award first, second, and third place?
Solution:
Total number of students is 10. So, the total possible ways for the first award is 10.
We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.
Similarly, the total possible ways for the third award is 8.
Now, the total number of ways to award first, second, and third place is:
[tex]10\times 9\times 8=720[/tex]
Therefore, the total number of ways to award first, second, and third place is 720.
This distance between New York and DC is 226 miles. If you're looking at a map that has a scale of ½ inch equals 25 miles, how far apart would the two cities be on the map?
Answer:
4.52 inches
Step-by-step explanation:
Hope this help:) 5 star please:))))
what is two plus two
Answer:
4
Step-by-step explanation:
Dude, that's easy!
Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia
Find the radius of the circle. Please show work, thank you
Answer:
4.8
Step-by-step explanation:
Which value from the set { 1/2 , 2/3 , 4/3 , 5/2 } is a value of x that will make the equation 3/4 ÷ x = 9/8 true?
Answer:
2/3
Step-by-step explanation:
To find out what x is in this case, divide 3/4 by 9/8.
3/4 / 9/8
Dividing by a fraction is the same as multiplying it's inverse.
3/4 * 8/9
Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)
1/1 * 2/3
We can remove the 1/1.
2/3
2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.
If the second term of a geometric sequence is 4 and the third term is –12, find the
explicit formula.
an= 3•(4/3) n-1
an =-4/3•(-3)n-1
an=-3•(-4/3) n-1
an = 4/3 •(3)n-1
Answer:
[tex]\bold{a_n=-\frac43\cdot(-3)^{n-1}}[/tex]
Step-by-step explanation:
The formula of a geometric sequence: aₙ = a₁ rⁿ⁻¹
[tex]a_2=4\\a_3=-12\\r=\frac{a_{n+1}}{a_{n}}=\frac{-12}{4}=-3[/tex]
[tex]a_1=a_1\div r=4:(-3)=-\frac43\\\\a_n=-\frac43\cdot(-3)^{n-1}[/tex]
there are 4 grams of fiber in 1/2 cup of oats how many grams of fiber are in 3 1/2
Answer:
28 grams
Step-by-step explanation:
In cup of oats, amount of fiber is = 4 grams
In 1 cup of oats amount of fiber is = = 8 grams
So, in or cups of oats, amount of fiber is = 28 grams
Answer:
28 grams of fiber
Step-by-step explanation:
4/0.5 = x/3.5
3.5/0.5 = 7
4 · 7 = 28
PLEASE I AM REALLY FONFUSED!!!!!!!!!!!!!!!!!! I AM BEGGING YOU I WILL GIVE EXTRA POINTS AND BRAINLIEST!!!!!!!!
Answer:
Hi, there your answer
Number 15: 16
Number16: 176
Number 17: 0
Number 18: 12
Number 19: -3
Number 20:-52
Number 21:{−9}
Number 22: {13}
Number 23:{1}
Number 24:{−90}
Number 25:{−2}
Number 26:{−2}
Number 27:{56}
Number 28:{9}
Number 29:{15}
Number 30: {−10}
Step-by-step explanation:
The answer are in bold I don't know if you are looking for the work or the answer???
Hope this helps :)
Wich expression makes equation true for all values of x.
Answer:
A
Step-by-step explanation:
HELP I don’t understand
Answer:
144, 36
Step-by-step explanation:
you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.
(4x+8) + (x+2)=180
5x+10=180
5x=180-10
5x=170
x=34
now replace x in each equation:
4(34)+8=144
34+2=36
Wallace bought 4 gallons of milk last week because his family drinks a lot of milk. If
his family drinks 3 quarts of milk every day, how many days will it take for them to
finish all 4 gallons?
Help now please
Answer:
5 days
Step-by-step explanation:
There are 16 quarts in 4 gallons of milk, so if they drink 3 quarts every day just divide 16 by 3 which will give you 5.3 but rounding your answer is 5 days.
I hope this helps!!
PLZ HELP WILL GIVE BRAINLIEST.
Answer:
1/24 or 4.17%Step-by-step explanation:
Probability of chocolate ice cream = 1/4Probability of chocolate chips = 1/3Probability of waffle cone = 1/2Probability of chocolate ice cream in a waffle cone with chocolate chips:
1/4*1/3*1/2 = 1/24 or 4.17%Plsssss help me illl appreciate it
Answer:
(2,2)
Step-by-step explanation:
-3 + 5 = 2
4 - 2 = 2
Type the correct answer in the box.
Step-by-step explanation:
4 triangles bh/2=area
2 x 2/2 = 2
2 x 4triangles = 8 units
two rectangles bh=area
2 x 6 = 12
12 x 2rectangles = 24 units
last rectangle is bh
6 x 8 = 48 untis
24+48+8=80 units
A jar contains "q" quarters and "d" dimes. There are 7 coins in the jar and the total value of the coins is $1.00
Which system of equations can be used to find how many of each type of coin is in the jar.
A. 0.25q + 0.10d = 1.00
q + d =7
B. 0.25q + 0.10d= 7.00
q + d = 1
C. 0.10q + 0.25d = 1.00
q + d = 7
D. 25q + 10d = 1
q + d = 7
Answer:
A. 0.25q + 0.10d = 1.00
q + d =7
Step-by-step explanation: Only logical choice I see. The others mix up values and units.
The system of equations is
0.25q + 0.10d = 1.00
q + d =7
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
A jar contains "q" quarters and "d" dimes.
There are 7 coins in the jar and the total value of the coins is $1.00.
As, 2 quarters and 5 dimes
= 2(.25) + 5(.10)
= $.50+ $.50
= $1
Now, according to question,
0.25q + 0.10d = 1
and, 0.10q + 0.10d = 0.7
Solving above equation we get
0.15q = 0.3
q = 2 quarter
Then, d= 7 -q = 7- 2 = 5 quarter
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