Answer:
The rectangle has a length of 15 cm and a width of 13 cm
Step-by-step explanation:
Let w represent the width of the rectangle, and let w + 2 represent the length of the rectangle.
Use the perimeter formula, P = 2l + 2w, and plug in the perimeter and w + 2:
P = 2l + 2w
56 = 2(w + 2) + 2w
Simplify and solve for w:
56 = 2w + 4 + 2w
56 = 4w + 4
52 = 4w
13 = w
Then, add 2 to this to find the length:
13 + 2
= 15
So, the rectangle has a length of 15 cm and a width of 13 cm.
Mohamed packs food in a cooler for a camping trip. He makes a tally chart to record what food he is bringing. Based on the tally chart, how many pieces of food are in the cooler in total
A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the test in how many ways can 37 people be selected
Answer:
The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
Compute the number of ways to select 37 people from 101 as follows:
[tex]{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}[/tex]
[tex]=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775[/tex]
Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.
70.2 x 10
6.702 x 10?
7.02 x 100
7.02 x 10?
Answer:
70.2 x 10=702.
6.702 x 10=67.02
7.02 x 100=70.2
7.02 x 10=70.2
Step-by-step explanation:
I hope this help! :)
The area of a circle is 25pie in.2. What is it’s radius?
The area of a circle is PI x r^2
25PI = PI x r^2
Divide both sides by PI:
25 = r^2
Take the square root of both sides:
Radius = 5 inches.
Answer:
5 is the radius.
Step-by-step explanation:
Since the formula for area in a circle is [tex]\pi r^{2}[/tex], we can substitute 25 for r squared.
Since 25 is equal to r squared, it means that r is equal to 5.
5 is the radius.
#teamtrees #WAP (Water And Plant)
a 8th grade math question, was ignored 3 times already. please answer!
Answer:
1 and 2
Step-by-step explanation:
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answer:
The inner surface area is: 1923.25 cm²
Step-by-step explanation:
A hemispherical bowl is made of brass has an inner diameter of 35 cm.
i.e. d = 35 cm
As the radius is basically half of the diameter.
r = d/2
= 35/2
= 17.5 cm
The inner surface area of a hemispherical bowl = 2πr²
= 2(3.14)(17.5)²
=1923.25 cm²
Therefore, the inner surface area is: 1923.25 cm²
Which table represents a nonlinear function?
Answer:
The answer is A
Hello! if anyone could help me I'd really appreciate it!. Thanks !
Answer:
the first one i think
Step-by-step explanation:
-3 is the y-intercept and that i all i got, sorry :(
Answer:
Its the first one! <3
Plzzzz answer quick i need this badly
Answer:
What u need
Step-by-step explanation:
Answer:
what do you need help with?
Step-by-step explanation:
A. 9
B. 9 square root of 2
C. 18
D. 18 square root of 2
Answer:
B
Step-by-step explanation:
We are given a right triangle with angles 45, 90, and 45
With this type of right triangle, the ratio of the sides are 1:1:square root of 2
We are also given that the hypotenuse is 18
This means that the sides are in the ratio of x:x:x(square root of 2)
Since 18 is the hypotenuse, we can form the equation of-
18 = x(square root of 2)
18/(square root of 2)=x
x= 9 square root of 2
since y=x, y= 9 square root of 2
Mrs. Wood is going to the desert during Thanksgiving
break. If she drives 120 miles in 2 hours, how many
more miles are left if she has to drive for another 5
hours at a proportional rate?
Answer:
she has to drive another 300 miles
Step-by-step explanation:
120/2=60 so 60*5=300
Answer:
300 miles left
Step-by-step explanation:
here's why if she is driving already 2 miles which is 120 and she is going to to drive for 5 hours, 5 hours is 300 miles which that means she has left 300.
Which of these improper fractions is between 4 and 5? How do I know. 13/3 13/4 13/5 13/6
13/3?
I think it is but so you put 13/3 into a proper fraction so 4 1/3
The improper fraction that lies between 4 and 5 given the values in the option is 13/3.
What are the improper fractions that lie between 4 and 5?Improper fractions are numbers in which the numerator are greater than the denominator. An example is 13/4.
In order to determine the answer, the improper fraction would be converted to mixed fractions.
13 /3 = 4 1/3 13 / 4 = 3 1/4 13/5 = 2 2/5 13/6 = 2 1/3To learn more about fractions, please check: https://brainly.com/question/25779356
HELP PLEASEEEE!!!
Which notation shows that S is a function of n?
A. n.s
B. s(n)
C. n(s)
D. Sin
SUBMIT
1/4x + 8
PLEASE HELP ME PLEASE OMLL
Answer:
X= -24
Step-by-step explanation:
1/4x+8 = 0
1/4x = -8
1/4x(4) = -8(4)
X = -24
:)
what is the vaule 7 to the 6 power
Answer:
117,649
Step-by-step explanation:
Good luck! <3
Answer:
7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.
76 stands for the mathematical operation exponentiation of seven by the power of six.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).
Thus, we can answer what is 7 to the 6th power as
7 to the power of 6 = 76 = 117649.
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?
Answer:
Step-by-step explanation:
21 feet below is written as -21
9 feet up is written as +9
So we have -21 + 9 = -12 or 12 feet below sea level
Graph the line that represents the equation y = -2/3x + 1
Answer:
Step-by-step explanation:
solve for x pls i need the answer asap
Answer: 162
Step-by-step explanation:
7th grade advanced, please help!!
Answer:Company B 12.72
Step-by-step explanation:
35/2.75=12.72
32.50/2.5=13
You divide them so you get the price per one pound.
Hope this helps!!!!
Answer:
Company B offers the lowest price per pound of 12.72
Step-by-step explanation:
Unit Price
Given a product that costs X dollars and has Y pounds, the unit price is given by X/Y dollars per pound.
Elle is comparing prices to purchase candy online. Company A offers 2 1/2 pounds of chocolate for $32.50 and Company B offers 2 3/4 pounds of chocolate for $35.00.
The offer of Company A is for 2 1/2 pounds = 2.5 pounds
The offer of Company B is for 2 3/4 pounds = 2.75 pounds
The unit price for Company A is $32,50/2.5 = $13/pound
The unit price for Company B is $35,00/2.75 = $12.72/pound
Company B offers the lowest price per pound of 12.72
Answer quick Question 2 of 5
Which expression uses the associative property to make it easier to evaluate
6(1/3 x 7/5)?
A. (6•1/3) 7/5
B. 3(1/6•7/5
C. 6(7/5•1/3)
D. (6•5/7)1/3
SUBMIT
Answer: A
Step-by-step explanation:
Answer:
The aswer is: A. (6•1/3) 7/5
Step-by-step explanation:
A-P-E-X
William can eat 3 slices of pizza in 5 minutes. If he continues to eat at the same rate, how long will it take him to eat the whole pizza, which has 12 slices of pizza? How many slices can he eat in half of an hour?
Answer:
It will take 20 minutes to finish the whole pizza, and in half an hour he will be able to finish 18 slices
Answer:
William can eat 18 slices of pizza in half of an hour.
William can eat a whole box of pizza in 20 minutes.
Step-by-step explanation:
30 minutes in half of an hour, 30/5 is 6.
3 slices in 5 mins
3 times 6 is 18.
----------------------------------
3 slices ---> 12 slices
x4
5 mins---> 20 mins
x4
A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?
y = –4/3x
y = –3/4x
y = 3/4x
y =4/3 x
Answer:
[tex]y=\frac{3}{4}x[/tex]
Step-by-step explanation:
If it is a direct variation function, then [tex]\frac{y}{x}=k[/tex].
[tex]k[/tex] can be found by choosing a point and doing [tex]y[/tex] divided by [tex]x[/tex].
So we can find [tex]k[/tex] by doing -6 divided by -8 or 9 divided by 12.
Both of these values are equal to 0.75 or 3/4 as a fraction.
So you can say any point in this relation will follow the equation:
[tex]\frac{y}{x}=\frac{3}{4}[/tex]
Multiply both sides by [tex]x[/tex]:
[tex]y=\frac{3}{4}x[/tex]
which of the following is NOT a root of x (x+3)(x-1)(2x+1)= 0
i. 0
ii. -3
iii. -1
iv. 1/2
A. i only B. iv only
C. i and ii only
D. iii and iv only
Answer:
The answer is A only i. (0)
Answer:
D
Step-by-step explanation:
Given
x(x + 3)(x - 1)(2x + 1) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus
x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots
Hence
111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D
brain liest for who ever does all (NOTE: this is not a test!! ) thanks :D
I can't see what you posted it's blocked off but I could probably answer it if I knew what the questions were
what is the equation of a line that passes through (-7, 3) and is perpendicular to -5/3x = 1/4y -8
Select all answers that apply
Y = 3/20x + 81/20
Y-3 = 3/20(x+7)
Y-3 = -20/3(x+7)
Y = -20/3x -32
3x -20y = -81
The answer can be anything thing that occurs during solving the problem or is the answer.
Answer:
The 1st, 2nd and 5th options are correct.
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
①Rewrite the given equation into the form of y=mx+c to find the gradient.
[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]
Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].
② Find gradient of unknown line.
The product of the gradients of perpendicular lines is -1.
Let m be the gradient of the unknown line.
[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]
③Substitute the value of m into the equation.
[tex]y = \frac{3}{20} x + c[/tex]
④ Find the value of c by substituting a pair of coordinates.
When x= -7, y= 3,
[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].
Thus, the 4th option is incorrect.
Writing c as an improper fraction,
[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]
Thus, the 1st option is correct.
-3 from both sides of the equation:
[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]
Factorise 3/20 out of the right hand side:
[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]
Thus, the 2nd option is correct.
The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.
Let's look at the 5th option.
[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]
×20 on both sides:
[tex]20y = 3x + 81[/tex]
-20y on both sides:
[tex]3x - 20y + 81 = 0[/tex]
-81 on both sides:
[tex]3x - 20y = - 81[/tex]
Thus, the 5th option is also correct.
Write a radio that is equivalent to 6/9 and 16/24
what times itself equals 17
Answer: 4.12
Step-by-step explanation: 4.12 x 4.12=17
Answer:
4.123
Step-by-step explanation:
Have a great day
what is the value of this question below when y=2 and z=8
8y-z ? dont answer my shi just for pointsss!!!!
Answer:
8
Step-by-step explanation:
8(2)-8
=16-8
=8
PLS GIVE BRAINLIEST
Answer:
8
Step-by-step explanation:
plug in
8(2) - 8
16-8
8
Help needed ASAP
I will give 100 points and Brainly
Answer:
D) (8,-22)
Step-by-step explanation:
I used my graphing calculator.
Answer:
D
Step-by-step explanation:
Someone, please help I'll give 10 points and brainliest to the person who answers first
it's the third option. 13x - 12y + 6xy
Answer:
C.
Step-by-step explanation:
5x-12y+8x+2xy+4xy=(5x+8x)-12y+6xy=13x-12y+6xy