Answer:
80
Step-by-step explanation:
Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80
If a2 = 5 and a8 = 35, what is the value of a30?
Answer:
a(30) = 145
Step-by-step explanation:
a(n) = a(1) + (n-1)d
d = 5
a(30) = 0 + (30-1)5
a(30) = 0 + (29)5
a(30) = 0 + 145
a(30) = 145
Using the concept of arithmetic sequence, the value of a30, which is the 30th term of the sequence is 145
The common difference, d = 35 / 7 = 5
The nth term of an arithmetic sequence is obtained using the relation :
A(n) = a1 + (n - 1)da1 = first terma1 = a2 - d = 5 - 5 = 0
Hence,
A(30) = 0 + (30 - 1)5
A(30) = 0 + 29(5)
A(30) = 145
Therefore, the value of the 30th term of the sequence is 145.
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You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?
Answer:
All other costs must be $1,550 or less
Step-by-step explanation:
1300+350=1650
3200-1650=1550
Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).So, cost C must be no more than:
The budget is $3200.The cost of rent and food is $1300 and $350.Then, the remaining money will be:
3200 - (1300 + 350)3200 - 1,650$1,550Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
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Clear selection
2 points
3. Stephanie can run one lap around a track in 5 minutes. Lisa can run one
lap in 6 minutes. If they start running at the same time, how long will it be
until they complete a lap together?
11
30
12
6
Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.
Step-by-step explanation:
Given: Stephanie can run one lap around a track in 5 minutes. Lisa can run one lap in 6 minutes.
If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)
prime factorization: 5=5 , 6 =2 x 3
So, LCM(5,6) = 5 x 2 x 3 = 30
Hence, it will take 30 minutes until they complete a lap together.
y = 4x - 5.
Graph the math problem
Answer:
so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them
Wich is equivalent to 12(3 2/3)!?
Answer:
1/5 = 2/10 = 3/15 = 4/20
= 5/25 = 6/30 = 7/35 = 8/40
= 9/45 = 10/50 = 11/55 = 12/60
= 13/65 = 14/70 = 15/75 = 16/80
= 17/85 = 18/90 = 19/95 = 20/100
= 21/105 = 22/110 = 23/115 = 24/120
= 25/125 = 26/130 = 27/135 = 28/140
= 29/145 = 30/150 = 31/155 = 32/160
= 33/165 = 34/170 = 35/175 = 36/180
= 37/185 = 38/190 = 39/195 = 40/200
= 41/205 = 42/210 = 43/215 = 44/220
= 45/225 = 46/230 = 47/235 = 48/240
= 49/245 = 50/250 = 51/255 = 52/260
= 53/265 = 54/270 = 55/275 = 56/280
= 57/285 = 58/290 = 59/295 = 60/300
= 61/305 = 62/310 = 63/315 = 64/320
= 65/325 = 66/330 = 67/335 = 68/340
= 69/345 = 70/350 = 71/355 = 72/360
= 73/365 = 74/370 = 75/375 = 76/380
= 77/385 = 78/390 = 79/395 = 80/400
= 81/405 = 82/410 = 83/415 = 84/420
= 85/425 = 86/430 = 87/435 = 88/440
= 89/445 = 90/450 = 91/455 = 92/460
= 93/465 = 94/470 = 95/475 = 96/480
= 97/485 = 98/490 = 99/495 = 100/500
Step-by-step explanation:
all of these are equivalent
Answer: 36/11 Or 3 3/11
Step-by-step explanation:
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=4 passing through (7,5)
What is the point-slope form of the equation of the line?
?
Answer:
Step-by-step explanation:
y - 5 = 4(x - 7)
y - 5 = 4x - 28
y = 4x - 23
Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?
Answer:
50.75
Step-by-step explanation:
253.75/5
Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?
Which y values are represented on the graph below?
Express the ratio DE/AB in simplest form
One number is 19 larger than the other, and the sum of these numbers is 97. What is the larger number? Plz help asap
Answer:
58
Step-by-step explanation:
I have attached an image with this answer that will help you to visualise this question. I will now explain it.
The smaller number (Number 1) has 1 unit.
The bigger number (Number 2) has 1 unit, and 19.
If you add 19 to the smaller number, you will make two of the bigger number.
[tex]97+19=116[/tex]
This is equivalent to two of the bigger number. (Try to visualise it!)
Hence, divide it by 2 to get one of the bigger number.
[tex]116\div2=58[/tex]
Answer:
58
Step-by-step explanation:
The smaller number (Number 1) has 1 unit.
The bigger number (Number 2) has 1 unit, and 19.
If you add 19 to the smaller number, you will make two of the bigger number.
This is equivalent to two of the bigger number. (Try to visualise it!)
Hence, divide it by 2 to get one of the bigger number.
Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.
Answer:
Duration = 6 hours
Step-by-step explanation:
Given
[tex]Regina: 6.50h + 16[/tex]
[tex]Phil: 3(2.5h + 5)[/tex]
[tex]Joseph: 7.50h + 10[/tex]
Required
When will Ragina and Joseph earn equal amounts
To solve this:
[tex]Regina = Joseph[/tex] must be true
This gives:
[tex]6.50h + 16 = 7.50h + 10[/tex]
Collect Like Terms
[tex]7.50h - 6.50h = 16 - 10[/tex]
[tex]h = 6[/tex]
Hence, number of hours is 6
solve for x 4 - (x + 2) < -3(x + 4)
in 4 - (x + 2) < -3(x + 4), x < -7
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x<-7
Step-by-step explanation:
Use inverse operations to solve
4 - ( x + 2 ) < -3 ( x+ 4)
first distribute the (-) sign and the (-3)
4 -x -2 < -3x -12
simplify
2 -x < -3x -12
simplify again, with inverse operations
2 -x < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
/2 /2
x<-7
Joey wants to collect 20 coins from foreign countries. If he has 3 coins so far, what percent of his collection is complete?
Answer:
17%
Step-by-step explanation:
I think you maybe have to subtract
Answer:
15%
hope this helps!
The perimeter of a rhombus is 40 cm and the length of one of its diagonals is 12 cm then the length of the other diagonal is
Answer:
16 cms.
Step-by-step explanation:
The length of each side = 40 / 4 = 10 cm (as the 4 sides of a rhombus are congruent).
If we draw the other diagonal we form 4 right angled triangles (another property of the rhombus - diagonals bisect each other at tight angles. ).
The side of the rhombus is the hypotenuse of the right triangle.
So if we consider one triangle:
10^2 = 6^2 + x^2 where x is half the length of the other diagonal.
x^2 = 10^2 - 6^2
x^2 = 100 - 36 = 64
x = 8 cm.
So the diagonal is 16 cms long.
a sidewalk is 5ft wide, 6in deep, and 220 ft long. how many cubic yards of concrete are needed to fill it?
Answer:
1100/54 yds
Step-by-step explanation:
First convert inches and feet to yards
[3 ft = 1 yd, 12in = 1yd]
5ft = 1 2/3 yds
6in = 1/6 yds
220ft = 73 1/3 yds
Now use the volume formula,
b*w*h = A
[1 2/3] * [1/6] * [73 1/3]
= [5/3] * [1/6] * [220/3]
= [5/18] * [220/3]
= 1100/54 yds
Please help would be very very appreciated
Answer:
115
Step-by-step explanation:
I hoped I help friend◇
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
How can right triangles be similar based on their angles?
Answer:
a right triangle has at lease on 90 degree angle
Step-by-step explanation:
Answer:
By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.
Step-by-step explanation:
i got 100% on edg. hope this helps!
How would you write odds in favor?
Answer: Odds in favor = Number of successes: Number of failures
Step-by-step explanation:
Example
A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?
Number of successes = 5
Number of failures = 2 + 6 = 8
Numbers of ways to draw a white pearl: number of ways to draw another jewelry.
5:8
The odds are 5:8
−3 ( −3b + 5 ) + 9 ( 7b + 5
Answer:
72b+30
Step-by-step explanation:
Assuming that the other parentheses is after the 5 and not after 7b:
-3(-3b+5)+9(7b+5)
9b-15+63b+45
72b+30
What is the value of the correlation coefficient r of the data set?
You might have already done this now, but the answer is
0.84
I just finished the Quiz :)
sin3A/sinA-Cos3A/CosA=2
Answer:
sin3A/sinA-Cos3A/CosA=2
taking LCM
= Sin3A.CosA - Cos3A. SinA
SinA . CosA
= Sin(3A-A)
SinA . CosA
= Sin2A
SinA . CosA
= 2 SinA. CosA
SinA . CosA
=2
Step-by-step explanation:
Find the sum. 4.88 * 1.6
Answer: 7.808.
Take the 2 values and multiply them together using the digits
4. How did railroads change where people lived?
The railroads changed people life
Answer:
It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.
Step-by-step explanation:
Answer:
There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.
Step-by-step explanation:
What is the solution of the equation 8x^3 = -64?
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]8x^3=-64[/tex]
Divide both sides by 8:
[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]
[tex]x^3=-8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]
[tex]x=-2[/tex]
Which equation show the relationship in the table?
Answer:
hours = 5 x dollars
Step-by-step explanation:
Because, for every hour you earn 5 dollars.
HELP !! Find the x with the details in this picture^^
Answer:
x = 3.9
Step-by-step explanation:
So the whole angle PQS = 111 degrees
it gave you part of it so subtract that off . 111 - 72 = 39 degrees
10 times what equals about 39 degrees.
39/ 10 = 3.9
The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. Write an equation to determine the integers. Solve your equation. Show your work
Answer:
x=75
Step-by-step explanation:
first no.=x
second no.=x+1
third no.=x+2
now,
or,
x+x+1+x+2=228
or,
3x+3=228
or,
3x=228-3
or,
x=225/3
x=75 ans
whats the answer of 23,869 in long division
----------
038 -38-------------
08 -8----------
90 -90TOTAL ANS; 1194.45THE REASON WHY THE 9 TURNED INTO 90 WAS BECAUSE: 9 CAN NOT BE DIVISIBLE BY TWO SO I HAD TO ADD A 0 AND REPLACE THE symbol (.)IN THE ANSWER.I HOPE IT HELPED YOU.DON'T HESITATE TO ASK FOR FURTHUR EXPLANATION.HELP ME FIND HIM (MY LOST LOVE).THANK YOU.# THE BEAUTIFUL EMPRESS!!
Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5
==========================================================
Explanation:
The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.
Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.
--------
Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.
This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.
Answer:
A
Step-by-step explanation:
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