Answer:
Step-by-step explanation:
a - 7 = 3(b + 2)
a - 7 = 3b + 2*3
a - 7 = 3b + 6 {Subtract 6 from both sides}
a - 7 - 6 = 3b
a - 13 = 3b {Divide both sides by 3}
[tex]b =\frac{a-13}{3}[/tex]
A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?
Answer:
Step-by-step explanation:
300t=280(t+2)
300t=280t+560
20t=560
t=28
Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE
Answer:
1. 51
2. 30
Step-by-step explanation:
I need help I'm confused
100 POINTS, MAHNIFIA PLEASE ANSWER!
SCAMMERS WILL NOT BE TOLERATED!
Answer:
- 3.4(21) = - 71.4
(- 2.3)(- 7.9) = 18.17
9.24 ÷ - 7 = -1.32
(- 8.5) ÷ (- 3.4) = 2.5
- 6.85 ÷ 0.5 = - 13.7
Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?
Answer:
Top left triangle has the greatest area
Step-by-step explanation:
Area of a triangle:
area = base × height / 2
a = bh/2
Top Left Triangle:
a = 6 × 5.2 / 2
a = 31.2 / 2
a = 15.6
Top Right Triangle:
a = 8 × 2.9 / 2
a = 23.2 / 2
a = 11.6
Bottom Left Triangle:
a = 2 × 7.9 / 2
a = 15.8 / 2
a = 7.9
Compare areas:
15.6 > 11.6 > 7.9
Find the points of intersection of the circles.
Answer:
D. (5,0) and (5,10)
Step-by-step explanation:
Can anyone help me out?????
Answer:
30
Step-by-step explanation:
12×5=60 60÷1/2=30
srry if I was wrong
12×5=60 60÷1/2=30 i hope it's right!! :)
What is 1/12 divided by 36
Answer:
link to answer
https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/
Answer:
This is 0.002 but I think you mean
36 divided by 1/12=
3
can i please get some help
Answer: x=0
Step-by-step explanation: This is number 9
12=-4(-6x-3)
-4(-6x-3)=12
-4(-6x-3)/-4=12/-4
-6x-3=-3
-6x-3+3=-3+3
-6x/-6=0/-6
x=0
sorry this isn’t in text form… But thank you if you’re willing to provide help!
Answer:
Blank 1: y=3x+10
Blank 2: y= 40
Step-by-step explanation:
Let the cost of gift wrap be y and the number of gifts be x.
Department
An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.
y= 3x +10
Niece
A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.
y= 40
To find out when the two plans cost the same, equate the two equations together. Then, solve for x.
3x +10= 40
3x= 40 -10 (-10 on both sides)
3x= 30
x= 30 ÷3
x= 10
Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.
Take a factor out of the square root:
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
what is the slope and y-intercept to -3x + y = 1
Answer:
Slope = 3
Y intercept = 1
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept.
So in your question
-3x+y=1
add 3x to each side to get
y = 3x+1
3 is m
1 is b
so the slope is 3
the y intecept is 1
Stephanie puts 30 cubes in a box. The cubes are inch on each side. The box holds 2 layers
with 15 cubes in each layer. What is the volume of the box?
Answer:
[tex] 11.25\: {in}^{3} [/tex]
Step-by-step explanation:
Since, box contains two layers of cubes and each layer has 15 cubes.
So, length = 15*1/2 in = 7.5 in,
width = 3*1/2 in = 1.5 in
height = (1/2 + 1/2) = 1 inch
Volume of box = lbh
= 7.5* 1.5 *1
= 11.25 cubic inches
what is the greatest common multiple of 96,48,84
Answer: 12
Step-by-step explanation: 96-84=12
I dont really know how i did it I just did.
1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?
the length of a rectangle is 7 cm more than its width and the area is 30 cm find the length, width and the perimeter
Answer:
Step-by-step explanation:
let width=x
length=x+7
x(x+7)=30
x²+7x-30=0
x²+10x-3x-30=0
x(x+10)-3(x+10)=0
(x+10)(x-3)=0
either x=-10 (rejected being negative)
or x=3
width=3 cm
length=3+7=10 cm
Perimeter=2(10+3)=2×13=26 cm
please use the image to solve it
Answer:
C, D and E are the correct statement
Plsssss help me this is urgent.
Which tank has the greater volume?
Tank A has a diameter of 10 ft and a height of 3 ft. Tank B has a diameter of 6 ft and a height of 8 ft
A.Tank B has a greater volume.
B.Tank A and Tank B have the same volume.
C.Tank A has a greater volume
Tank A has a greater volume.
welppppppppppppppppppppppppppppppppppppppp
Answer:
They are all acute triangles or iscoles triangles
Step-by-step explanation:
Find the product. Express your answer as a mixed number in simplest form.
2 1/6 × 4 1/2
Answer: 1 1/2, 3/2, or 1.5
Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.
The triangles are congruent by SSS or HL.
Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
rotation, then translation
Step-by-step explanation:
The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.
The given triangles;
Triangle MNQ Triangle PQNA translation of a triangle occurs when the triangle shifts up, or down, of left or right on the coordinate plane.
The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.
Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.
Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371
You flip a coin 30 times, about how many times would you expect to tails to appear?
Answer:
15 heads out of 30
Step-by-step explanation:
The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore, 230 is the total number of different sequences for 30 coin flips.
We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.
Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):
(3015)230=1551175201073741824≈0.1445≈14.45%
15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.
If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\[/tex]
You flip a coin 30 times then the expected value will be
The probability of getting tails is 0.5 then the expected value will be
[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]
Learn more about binomial distribution here:
https://brainly.com/question/13609688
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
26
Step-by-step explanation:
Solve 9x-1 = 41-5x
9x-1 = 41-5x
+1 +1
9x = 42-5x
+5x +5x
14x = 42
/14 /14
x = 3
Plug in X for EF
41-5(3)
41-15
=26
A number b is increased by 6, and then the sum is doubled.
Answer:
2(b+6)
Step-by-step explanation:
Tyler invested $350 in an account paying an interest rate of 4.5% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $700?
Answer:
15.4 I did this on delta math
It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.
How to calculate compounding time?The formula for calculating the future value (FV) of an investment with continuous compounding is:
[tex]FV = Pe^{rt}[/tex]
Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).
In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:
[tex]700 = 350e^{0.045t}[/tex]
Dividing both sides by $350, we get:
[tex]2 = e^{0.045t}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(2) = ln\times e^{0.045t}[/tex]
Using the properties of logarithms, we can simplify this to:
ln(2) = 0.045t ln(e)
Since ln(e) = 1, we can simplify further to:
ln(2) = 0.045t
Finally, solving for t, we get:
t = ln(2) / 0.045 ≈ 15.4
Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.
To know more about continuous compounding follow
https://brainly.com/question/14303868
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The following triangle is equilaterial triangle. Solve for the unknown variable.
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
The graph represents the average heights of boys in the United States from age two to age ten. A line of best fit has been drawn through the data.
Which statement describes the correlation coefficient?
The correlation coefficient will have a value very close to 0.
The correlation coefficient will have a value very close to 1
The correlation coefficient will have a value very close to –1.
The correlation coefficient will have a value very close to 0.5.
Answer:
A gotchu Just took the test got 100
Step-by-step explanation:
B
Answer:
The answer is B
Step-by-step explanation:
As it is very close to one because all the points are close together
need help ASAP !!!
[tex] \sqrt{684 \times 684} [/tex]
Answer:
√(684×684)=√684²=±684
Subtract 1 from the product of 4 and 2. what is this in fraction form? please help? A 4 ÷ 2 − 1 B 4 × 2 − 1 C 4 × (1 − 2) D 1 − (4 × 2)
Answer:
D.) 1 - (4 * 2)
Step-by-step explanation:
Given :
Product of 4 and 2 is written as : 4 * 2
Subtracting 1 from the product above : 1 - (4 *2)
Hence, the fractional form of the question above is simply written as :
1 - (4 * 2)
Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.
Answer:
B
A=2
B=6
Step-by-step explanation:
The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.
Calculation of the expression:Since
Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.
So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.
Learn more about an expression here: https://brainly.com/question/4700495