Answer:
Length [tex]=25[/tex] inches
Width [tex]= 15[/tex] inches
Step-by-step explanation:
Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle
Given the area and the perimeter of the rectangle, we can write:
[tex]lw = 375[/tex]
[tex]2l+2w=80[/tex]
So:
[tex]l+w = 80\div2[/tex]
[tex]=40[/tex]
[tex]l=40-w[/tex]
Now, we can use substitution to find the value of [tex]w[/tex]:
[tex]lw = 375[/tex]
[tex](40-w)w = 375[/tex]
[tex]40w-w^2 = 375[/tex]
[tex]375+w^2-40w = 0[/tex] (Quadratic equation)
[tex](w-15)(w-25) = 0[/tex]
∴ [tex]w = 15, 25[/tex]
We can use substitution again to find the value of [tex]l[/tex]
[tex]lw = 375[/tex]
[tex]l=375\div w[/tex]
[tex]=25,15[/tex]
∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.
Hope this helps :)
How many different ways can 5 events be ordered?
Answer:120 ways
Note that your choice of 5 objects can take any order whatsoever, because your choice each time can be any of the remaining objects. So we say that there are 5 factorial = 5! = 5x4x3x2x1 = 120 ways to arrange five objects.
Step-by-step explanation: LET ME BE!
What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
1/5 = 20%
x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me
Answer:
0.609663161
Step-by-step explanation:
(8/27)power5 = 5.57533755
(2/3)power7= 9.14494717
then, u just devide... from what i know
Answer:
It is 0.609663161
Step-by-step explanation:
Hope this helped have an amazing day!
PLS HELP BRAINLIST and 100 POINTS
The diagram below shows a boat and a scuba diver that is approximately 40 feet below the boat. The top of the flagpole on the boat is 15 feet above the surface of the water. The elevation of the surface of the water is 0 feet. Which number represents the elevation of the scuba diver?
A. –55 ft
B. –40 ft
C. 40 ft
D. 55 ft
Answer:
B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40
To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?
41 mi
54 mi
82 mi
46 mi
Answer:
41
Step-by-step explanation:
Combine the like terms to create an equivalent expression.
5 + 3t +4-t
Answer:
2t + 9
Step-by-step explanation:
5 and 4 are like terms. 3t and -t are like terms
= 2t + 9
or 9 + 2t
Answer:
2t + 9
Step-by-step explanation:
5 + 4 = 9
3t - 1t = 2t
What’s is the value of the expression 7+[8-(1+9)]
Answer:
5
Step-by-step explanation:
7+(8-(1+9))
7+(8-10)
7+(-2)
7-2
5
lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets
Here is the histogram of a data distribution. All class widths are 1.
Which of the following numbers is closet to the mean of this distribution?
A. 5
B. 4
C. 2
D. 10
E. 3
Answer:
C) 2
Mean of the given distribution = 2
Step-by-step explanation:
Explanation:-
Given data from histogram
1 , 4, 5 ,4 ,2, 1, 1 , 1, 1,0
Mean of given data
= ∑x / n
Given n = 10
[tex]Mean = \frac{1+4+5+4+2+1+1+1+1+0}{10} = \frac{20}{10} =2[/tex]
Mean of the given distribution = 2
Answer:
Its actually 4
Step-by-step explanation:
A p e x
My last oneeeeee help please
Answer:
C HOPE THIS HELPS MARK BRain leist
Step-by-step explanation:
Transfer into algebraic symbols: 11 less than the square of a number. Use x to represent the number.
Answer:
[tex]11-x^2[/tex]
Step-by-step explanation:
"11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².
What is inequality?An inequality compares two numbers or expressions. For example, we can write -
2x + 3 > 5
2x + 9 < 1
Given is the mathematical statement as -
" the square of a number is greater than 11"
We can write the mathematical statement as an algebraic inequality as follows. Let the number be {x}. We can write -
11 < x²
Therefore, "11 less than the square of a number" can be written as an algebraic inequality as → 11 < x².
To solve more questions on inequalities, visit the link below
https://brainly.com/question/30231017
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Can somebody help me pls
the answer can vary between x=−1 or x=2 or x=−3 or x=3
explanation:
x4−x3−11x2+9x+18=0
Step 1: Factor left side of equation.
(x+1)(x−2)(x+3)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−2=0 or x+3=0 or x−3=0
x=−1 or x=2 or x=−3 or x=3
Which of the following are geometric sequences?
Check all that apply.
Answer:
c , I think :))))))))))))
Answer: C
Step by Step Explanation:
Can not give, sorry
What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?
Answer:
p = 7
Step-by-step explanation:
set the expressions = to each other
4(n+7) = 4(n+p)
distribute the 4 on both sides(multiplying the numbers on the inside)
4n+28 = 4n+4p
subtract the 4n from the right and left
28 = 4p
divide by 4
p = 7
which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
[tex]\frac{5}{7}y^3+5y^2+y[/tex]
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
It's a trinomial.
Option C
6x² + 0.5y²
Number of terms = 2
It's a binomial.
Option D
x² + 3
Number of terms = 2
It's a binomial.
Option E
x¹¹
Number of terms = 1
Monomial
Option F
8x
Monomial.
Therefore, Option (A) and Option (B) are the correct options.
The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?
Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.
Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
Thus total calories from given diet is = 4×4+4×3+9×3
=16+12+27
=56
Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
Learn more about the unitary method here:
https://brainly.com/question/22056199
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The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
please help me and my sister! Were a bit stuck!
Ok...
what exactly do you need help with?
Answer:
help with what lol
Step-by-step explanation:
Factor using grouping: x³+ 3x² + 5x = 15
Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.
Answer:
Equation: n=3m; Bob needs to read 51 novels over 17 months.
Step-by-step explanation:
Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51
help me pls ill mark brainly
Answer:
First step: 8% as a decimal is 0.08 if you move the decimal of 8 twice to the left.
Second step: I think it would be 0.08 x 25.
Third step: 2. I'm pretty sure there are 2 people that wear glasses in his class because 0.08 times 25 is 2.
Fourth step: Friendly percent is 10%. It is always even.
Hope this helps!
what is 7/9 of 1 1/14
Answer:
1.5555556
1 5/9
14/9
Step-by-step explanation:
The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.
Answer:
because x^n+1 =
the number which is n and n is an odd number and my odd number is 3 so
x^3+1= 4
= x^4
Please give me the correct answer
Answer:
the correct answer is 5 places
Help me pleaseeee (10 points )
Match these?
LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Answer:
see below
Step-by-step explanation:
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
This is angle side angle ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
This is hypotenuse leg HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
This is side side side SSS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
This is leg angle LA
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
This is side angle side SAS
Elizabeth drove 2 fifths of a mile in 30 seconds. What is Elizabeth’s speed
Answer:
0.8 miles in a minute, which would be 40 miles a hour.
Step-by-step explanation:
2/5 = 0.4
0.4 times 2 = 0.8
30 seconds times 2 = 60 seconds or 1 minute
60 times 0.8 = 40
60 times 1 minute = 60 minutes or 1 hour
40 miles in an hour or known as 40 miles a hour.
Simplest form of -1 5/8 divided by 5 8/9
Answer:
the answer is -117/424, hope this helps :)