Step-by-step explanation:
since they are consecutive even numbers, one is bigger by 2 than the other number.
so,
x + (x + 2) = 214
2x + 2 = 214
x + 1 = 107
x = 106
so, the 2 numbers are 106 and 108.
The smallest non-zero real number by which √27 should be multiplied so as to get a rational number is:
[tex]a) \: \sqrt{3} \\ b) \: \frac{1}{ \sqrt{3} } \\ c) \sqrt{13} \\ d) \sqrt{27} [/tex]
I doubt between a) and b).
Please solve this and give me the accurate answer. Step-by-step solution needed. Spam free answer required.
Thank you in advance.
Answer:
[tex]b)1/\sqrt{3}[/tex]Step-by-step explanation:
Lets verify one-by-one:
a)
[tex]\sqrt{3} *\sqrt{27} =\sqrt{3*27} =\sqrt{81} = 9[/tex]b)
[tex]1/\sqrt{3}*\sqrt{27} =\sqrt{1/3*27} =\sqrt{9} =3[/tex]c)
[tex]\sqrt{13} *\sqrt{27} =\sqrt{13*27} =\sqrt{39*9} =3\sqrt{39}[/tex]d)
[tex]\sqrt{27} *\sqrt{27} =(\sqrt{27})^2=27[/tex]As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.
Ping chooses four numbers.
The mode of these four numbers is 8, the range is 7 and the mean is 11.
Find Ping's four numbers.
Expand the following expression.
Answer:
C. [tex]\frac{39}{4}[/tex]x +[tex]\frac{39}{16}[/tex]
Step-by-step explanation:
distribute
Answer:
(39/4)x + 39/16
Answer C
Step-by-step explanation:
(13/4) * 3x + (13/4) * (3/4)
(39/4)x + 39/16
Mrs. Rush puts $300 in a bank account that earns 5% interest every year. How much will be in the bank after 3 years? (make sure you include the $ sign and round your answers to two decimal places
Answer:
$945 no cents so no need to round the recimals
Step-by-step explanation:
$300 times the 5% is $15 dollars in interest
so in three years it would be an additional $45 dollars
b) Given that tan e = 3/4, calculate
i) the length of QR
ii) the value of cos 0
6cm
P
Q
R
Answer:
0+_+0
Step-by-step explanation:Write 10 10 10 10 10 with an exponent.
Answer:
10 5 ( Exponent )
Hope it helps
AYOOOO HELP!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Value of x= `
4x+5y-6z =2
x= (2-5y+6z) divided by 4
For example : if x is 2.5
2.5 = 2 - 5x2 + 6x3
What is the equation of this line *
Answer:
I would have to see the line to answer the question.
A:B is equivalent to 11:5.
Answer:
yeeeeee
Step-by-step explanation:
The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?
To solve this problem you will need this tool, it is the formula of speed :
speed = distance/time
(I suggest you to remember this one for life, it is a really useful one)
Let's check how long that Jackie nice dude will take to finish the race...
Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.
Let's write what we already know to solve this puzzle :
6 = d / 2.1
Where d is that unknown distance.. So we are in front of an equation here let's solve it :
d / 2.1 = 6
d = 6 * 2.1
d = 12.6 miles
Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...
We already know his speed... and since we have the distance, we write :
4 = 12.6 / t
Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :
4t = 12.6 (we multiplied t on each side of the equation)
t = 12.6 / 4
t = 3.15
Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours
Good Luck
The temperature was -16 degrees at noon. By 2:00 PM it dropped to 10 Degrees. What was the temperature at 2:00 Pm
Find the area of the sector
if r = 15
A≈706.86
Steps:
A = πr²=π·15²≈706.85835 ( round to the nearest tenth )
= 706.86
Circle Formula:
Diameter of a Circle D = 2 × r
Circumference of a Circle C = 2 × π × r
Area of a Circle A = π × r2
plss help ill give brainlest
The cost of 6 purses is Rs.453. How many such purses can be bought for Rs.604
Answer:
8 Purses
Step-by-step explanation:
6 divided by 453= 75.5
604 divided by 75.5= 8
Plz give brainliest
Sandra baked 9 pies that weigh 81/4 pounds total. How much does each pie weigh?
Answer:
2 1/4 ×9
= 9/4 ×9
= 81/4
= 20 1/4
Step-by-step explanation:
81/4/9
= 81/4 × 1/9 (Reciprocal)
= 9/4 pounds
= 2 1/4 pounds
Answer:
11/12 lb
Step-by-step explanation:
I think you mean 8 1/4 lb.
(8 1/4)/9 = 33/4 × 1/9 = 33/36 = 11/12
Answer: Each pie weight 11/12 lb.
5. What percent of 36 is 24?
A. 50%
B. 66.7%
C. 75%
D. 80%
Answer: B. 66.7%
Step-by-step explanation:
Divide 24 by 36:
24/36 = 2/3
B. 66.7%
Answer:
answer is B I just had the test
Step-by-step explanation:
What’s the remainder of 3,231 / 7
How do you get the volume of a 3d object? How could the way to calculate volume help certain people like construction workers?
Me will give brainliest to the person whose answer is the best.
Answer:
The way to calculate the volume of a 3D object like a cube is by multiplying the length times the width and the height or you could also use base times the height to find the volume. The way to calculate the volume could help construction workers to see how much area the building takes up and a lot of other stuff.
Step-by-step explanation:
The expression 3(x + 4) - (2x + 7) is equivalent to
Answer:
Why don't know wt is equal to..
Step-by-step explanation:
3(x + 4) - (2x + 7)
3x + 12 - 2x - 7
1x + 5
x + 5
Help would be greatly appreciated!!
Multiply as indicated. Write the product in standard form.
(1+3i)(-3-i)
Thanks to whoever helps in advance!!
Answer:
-10i
Step-by-step explanation:
-3-i-9i+3
remove the Opposites
collect like terms
-i-9i
=-10i
In one day you earn $75
for 8 hours of work. If
you work 37.5 hours for
the week, what will your
weekly pay be?
Answer:
2812.5
Step-by-step explanation:
The perimeter of an equilateral triangle is 24 cm. Find the length of each sides
Answer:
8cm
Step-by-step explanation:
An equilateral triangle means that all the sides are equal (the same length). A triangle has 3 sides so all we have to do is:
24/3 = 8
Each side is 8cm long
Answer:
Length of each sides = 8 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 24 cm:
Equilateral triangles have three congruent sides.
Hence, to find the length of an equilateral triangle, simply divide the perimeter by 3 (since an equilateral triangle has three equal sides).
Perimeter of an equilateral triangle = 24 cm
Side = 24 cm ÷ 3 = 8 cm
Therefore, the length of each side is 8 cm.
what is the right equation of the graph
Answer:
It's D)
C is incorrect because the constant is + 1, not - 8
A is incorrect because the f doesn't go up by 2 for every x value
B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.
D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1
What number should go in the space?
Multiplying by 0.51 is the same as decreasing by _____%.
Answer:
49
Step-by-step explanation:
x multiplied by 0.51 is the same as 49% of x
ang Find any three rational numbers between 2 and 3
Answer:
5/2, 9/4 and 19/7.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not = 0).
PLZ HELP!!
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
The slope of this line is 1/4
Step-by-step explanation:
this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.
Answer: 3 over 12 or 1 over 4
Step-by-step explanation:
From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others
For the problem -4(-5)(9), will the answer be positive or negative?
Answer:
Positive
Step-by-step explanation:
-4(-5)(9)
Negative cancels out negative, so it makes a positive:
20(9)
Simplify normally to get 180 as your final answer.
Convert
1.8125 gallons to cups
Answer: 1.8125 gallons = 29 cups
Step-by-step explanation:
There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.
The number of gallons, in this case, is: 1.8125
So, we need to multiply 1.8125 by 16
1.8125 ⋅ 16 = 29
In the final analysis, 1.8125 gallons is equal to 29 cups.
, Hope this helps :)
Have a great day!!
2x+5=12 i don´t know what the value of x is
Answer: X = 7/2 or 3.5
Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, how many miles can he drive on 1 gallon of gas?
Any help is appreciated!
Answer:
22
Step-by-step explanation: