Answer:
7
Step-by-step
n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer
n+(n+1)+(n+2)+(n+3)=34
4n+6=34
4n=28
n=7 ANSWER: The smallest integer is 7
CHECK:
7+8+9+10=34
34=34
the least of the four consecutive integers is 7.
Let's denote the four consecutive integers as x, x + 1, x + 2, and x + 3.
According to the given information, the sum of these four consecutive integers is 34:
x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 34
Simplifying the equation:
4 x + 6 = 34
Subtracting 6 from both sides:
4 x = 28
Dividing both sides by 4:
x = 7
The four numbers are 7, 8, 9, 10
Therefore, the least of the four consecutive integers is 7.
Learn more about consecutive integers here
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please help answer both questions
Answer:
1. $503.08
2. 5071
Step-by-step explanation:
1. Perimeter = (pi × r) + d
= (3.14 × 27/2) + 27
= 69.39
Cost: 69.39 × 7.25 = $503.0775
2. 17 × (pi × d)
17 × 3.14 × 95
5071.1 feet
Step-by-step explanation:
Step 1: Answer the first question
Find the perimeter: [tex]P = (\pi *r)+d[/tex] But... let π be 3.14
[tex]P = (3.14 * \frac{27}{2}) + 27[/tex]
[tex]P = 42.39 + 27[/tex]
[tex]P = 69.39[/tex]
Find the price: $7.25 per foot
[tex]7.25 * 69.39[/tex]
[tex]\[/tex][tex]503.0775[/tex]
Answer: [tex]\[/tex][tex]503.0775[/tex]
Step 2: Answer the second question
Find the amount traveled: [tex]P = revolutions*\pi *d[/tex] But... let π be 3.14
[tex]P = 17 * 3.14 * 95[/tex]
[tex]P = 53.38 * 95[/tex]
[tex]P = 5071.1[/tex]
Answer: 5071.1 feet
Find the unit rate:
Sandra picked 55 oranges in 5 minutes.
How many did she pick in one minute?
Answer:
11
Step-by-step explanation:
55/5=11
What is the volume of the box pictured below?
A rectangular prism of length 1 and 1 over 8 m, width 4 over 5 m, and height 5 over 6 m is shown.
fraction 2 over 3 cubic meter
fraction 3 over 4 cubic meter
fraction 9 over 10 cubic meter
fraction 15 over 16 cubic meter
Answer:
3/4 cubic meter
Step-by-step explanation:
1 1/8 x 4/5 x 5/6= 3/4
can someone please help me put this in order
Answer:
camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012
Step-by-step explanation:
if you rewrite in standard notation
camera A : 0.0012
camera B : 0.00098
camera C : 0.0011
camera D : 0.00087
4.96X 10^6 = (x) (2x + 0.570)^2
Answer: no solution
Step-by-step explanation:
Answer: x = -1113.83787 ; x = 1113.26787
Step-by-step explanation:
Victor wants to earn high interest and keep his money in an account for a while. Which of these is most likely the best option for Victor? A a savings account B a checking account C no bank account D a check casher
Answer:
Option A
Step-by-step explanation:
Many banks offer a rate of interest when putting your money into a savings account. The interest will help grow your money over time. Make sure you 're shopping around and check what fees are involved-you don't want to wind up paying more fees than you get in interest.
The point (−6, a ) is on the line 3x − 5 y = 56 . Find a.
Answer:
(−6, a )
3x − 5 y = 56
3(-6) -- 5(a) = 56
--16 -- 5a = 56
--16 + 16 -- 5a = 56 + 16
--5a = 72
-5a / -5 = 72/-5
a = -14.4
Step-by-step explanation:
If you have the following ordered pairs: (3,4) and (0,-2) Write an equation to represent them.
A) y=30 x -2
B) y=-2x +2
C) y=3x -2
D) y=2x+ -2
If you square a googol, how many zeros will the answer have? Show your reasoning.
Answer:
200 zeros
Step-by-step explanation:
1 googol is the number 1 followed by a hundred zeros, right? Right. Using 'Laws of Indices', for instance, 10^2=100, ie 10×10=100. The number of zeros will always be the sum of the number of zeros of the multiplier and multiplicand. More example, 100×100=10000. So, I think it's reasonable to say that 1 googol×1 googol= the number one followed by two hundred zeros ♀️
Ishmael jobs around a track that is in the shape of a regular pentagon. One side of the pentagon is 1/4 of a mile long. How far does Ishmael jog if he completes 6 laps around the track?
Answer:
He would’ve ran 7 1/2 miles
Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit
Answer:
Area of Shaded Region: 189 square centimeters
Step-by-step explanation:
~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~
1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2
2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2
3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2
Area of Shaded Region: 189 square centimeters
PLEASE HELP!!!
What is the solution to the inequality Three-fifths + y greater-than-or-equal-to StartFraction 11 over 15 EndFraction?
y greater-than-or-equal-to StartFraction 2 over 15 EndFraction
y greater-than-or-equal-to StartFraction 8 over 15 EndFraction
y greater-than-or-equal-to 1 and one-third
y less-than-or-equal-to 1 and one-third
Answer:
it is A
Step-by-step explanation:
i had the question on ed
Answer:
y greater - than - or - equal - to StartFraction 2 over 15 EndFraction
Step-by-step explanation:
Ann and tom want to establish a fund for their grandson's college education. What lump sum deposit at a 12.7% annual interest rate compounded annually interest rate in order to have 20,000 in the fund at the end of 15 years
Answer:
2,683.34
Step-by-step explanation:
A=p(1+r/n)^nt
P=A/(1+r/n)^nt
A=20,000
r=12.7%=0.127
t=15
n=12
P=?
P=20,000/(1+/0.127/12)^12.7*15
=20,000/(1+0.0106)^190.5
=20,000/(1.0106)^190.5
=20,000/7.4534
P=2,683.3391
Approximately
P=2,683.34
A little brown bat has eaten 1400 mosquitoes. It can eat 900 mosquitoes per hour. Let x be the number of hours it needs to hunt and eat 4100 mosquitoes.
Which equation could be used to solve for the number of hours?
Find the point-slope equation of the line using the point (1,2) and the slope of 3/2
Point slope form: y - y1 = m(x - x1)
(x1, y1) = a point
m = slope
We are given:
(x1, y1) = (1, 2)
m = 3/2
Put into the original equation:
y - 2 = 3/2(x - 1)
Best of Luck!
One baseball team played 20 games throughout their entire season. If this baseball team
won 14 of those games, then what percentage of their games did they win? Round your
answer to the nearest whole number if necessary.
Answer:
70%
Step-by-step explanation:
The fraction of the game won is 14/20
Percent means out of 100
14/20 * 5/5 = 70/100
The percent is 70%
what is x in x + 4 = -x - 4
Answer: -4
Step-by-step explanation:
Answer:
x = - 4
Step-by-step explanation:
x + 4 = - x - 4
x + x = - 4 - 4
2x = - 8
x = - 8/2
x = - 4
Which statements are true? Check all that apply. Based on both tables, there is no association between gender and enjoying dancing. Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The two tables will be identical since boys and girls have the same total number. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.
Answer:
it's b c and e
Step-by-step explanation:
just took the test
Statements second statements third, and statement fifth is correct as per the conditional relative frequency table.
What is a relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.
As per the relative frequency table, the correct statements are:
Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.Thus, statements second statements third, and statement fifth is correct as per the conditional relative frequency table.
Learn more about the conditional relative frequency here:
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Mattie is making a collar for her dog. She needs to buy some chain, clasp, and a name tag. She wants the chain to be 40 cm long. On meter of chain costs $9.75. The clasp is $1.29 and the name tag is $3.43. How much will it cost to make the collar? Estimate to check if your answer is reasonable.
Answer: $8.62
Step-by-step explanation:
Mattie wants to make a collar for her dog. She needs to buy some chain, clasp, and a name tag. Mattie wants the chain to be 40 cm long. On meter of chain costs $9.75, the clasp is $1.29 and name tag is $3.43.
Since 100 centimeters = 1 metre. Mattie needs 40cm and 1 meter of chain costs $9.75, cost of the chain Mattie needs will be:
= 40/100 × 9.75
= 2/5 × 9.75
= $3.90
Chain(40cm) = $3.90
Clasp = $1.29
Name tag = $3.43.
Cost to make collar will be:
= $3.90 + $1.29 + $3.43
= $8.62
How many times larger is the volume of a cylinder if the height is doubled?
Answer:
times 4
Step-by-step explanation:
Can you please help please please help me with this question and i will give you a Brainiest
Answer:
5 points
Step-by-step explanation:
score of Zara = 15 points
Score of John = 10 points
Zara scored more than John = 15 - 10 = 5 points
Answer:
Hello! Your answer is 5
Step-by-step explanation:
Zara scored 15 points, and John scored 10 points
15-10=5
Hope this helps :)
Please mark brainliest
Please help!! Someone said it was d.... and I think it’s either b or c..... now I am very confused :( giving 12-15 points!!
(Attached are pics of the question and answer choices)
Answer:
The answer is B, i hope this helped!
What is the slope intercept for please help!
Answer:
y = -1/3 - 6
Step-by-step explanation:
its easy
The Service Club is choosing members at random to attend conferences in Sheboygan, Madison, La Crosse, and Green Bay. There are 15 members in the club, how many ways can they choose someone to go to the Sheboygan conference, someone different for the Madison conference, someone else for La Crosse, and one last person for Green Bay? SHOW YOUR WORK.
Answer:
There are 32760 ways to pick the members
Step-by-step explanation:
For the first place you have 15 possibilities, since every member of the club is available. For Madison you will have only 14, since you cant pick the same member than the one you picked for Sheyoygan. For the same argument, you will have 13 possibilities available for La Crosse, and only 12 for Green Bay.
We have to pick a combination using the possibilities that we have, thus, you have to multiply all 4 possibilities toguether to find the amount of ways to choose members to attend the conferences. This means that you will have a total of 15*14*13*12 = 32760 possibilities in total.
Solve the equation k/1.5=3
Answer:
4.5
:):)
:):)
:):)
1. How do you determine the constant that you should add to an expression in the form x^2+bx so that it becomes a perfect square trinomial?
2. When solving a quadratic equation by completing the square, why must you add the number that completes the square to both sides of the equation?
3. Why might you discard a negative solution in a real-world problem?
now heres a step by step explanation Step-by-step explanation: your welcome
Find x in this 45°-45°-90° triangle.
x=
Answer:
33
Step-by-step explanation:
because a triangle measure 90 degrees so you just subtract the amount that you add and got
Answer: 11 square root of 2
2/3 (m + 4) = 1/5 (3m+9)
[tex]\frac{2}{3} (m+4) = \frac{1}{5} (3m+9)[/tex]
[tex]\frac{2m+8}{3} = \frac{3m+9}{5}[/tex]
10m + 40 = 9m + 27
10m - 9m = 27 - 40
m = -13
Answer:
m = - 13
Step-by-step explanation:
2/3 (m + 4) = 1/5 (3m+9)
2/3m + 8/3 = 3/5m + 9/5
2/3m - 3/5m = 9/5 - 8/3
10/15m - 9/15m = 27/15 - 40/15
1/15m = - 13/15
m = - 13/15 / 1/15
m = - 13/15 * 15
m = - 195/15
m = - 13
Lucas made the list of all his assets and liabilities below. Highlight each item in
the box that is an asset.
.
• credit card balance: $2,576
checking account balance: $98.00
outstanding car balance: $12,500
• value of car: $22,800
jewelry: $1,750
student loan balance: $22,300
Based on the list above, what is Lucas's net worth?
Answer:
I got 12,148. Is that an option?
Step-by-step explanation:
98.00 checking account
car (value - outstanding balance) 12,500
plus jewelry $1750
Will mark brainliest :)
Answer:
D
Step-by-step explanation:
The equation of the parabola is of the form
y = ax² + c ( where c is the y- intercept )
Here c < 0
Since the parabola has a maximum value and opens down then a < 0
Thus the only equation that could represent this parabola is
y = - x² - 3 → D