Step-by-step explanation:
Let w be the uniform width of the safety zone.
We have combined area = 10,800ft².
=> Combined area = Length * Width
= (80 + 2w)(50 + 2w)ft².
Therefore (80 + 2w)(50 + 2w) = 10,800.
=> 4,000 + 260w + 4w² = 10,800
=> 4w² + 260w - 6,800 = 0
=> w² + 65w - 1,700 = 0
=> (w - 20)(w + 85) = 0
=> w = 20 or w = -85
(w = -85 is rejected as width must be positive)
Hence the uniform width is 20ft.
The telephone company purchased 192 yards of wire for $2,304 in January. They
plan on making a purchase of 400 yards in February. How much will the February
purchase cost?
Answer:
Step-by-step explanation:
400yd($2304/192yd)=$4800
Answer:
400 yards of wire will cost $4,800
Step-by-step explanation:
First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.
In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?
Answer:
50 students voted
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.
3x=6y-3 (table of values)
Answer:
The image I put is the answer.
Step-by-step explanation:
Keon biked 78 kilometers in 3 hours. How many kilometers did he bike per hour
Answer:
26km/hr
Step-by-step explanation:
78 divided by 3 hours is equal to 26km/hr
help please, the image is attached.
Answer:
A
Step-by-step explanation:
A
Is 4 a solution of 7 < 5x – 16
Answer:
no
Step-by-step explanation:
7 < 5*4 - 16
7 < 20-16
7 <4
Answer:
[tex] x > \frac{23}{5} [/tex]
Step-by-step explanation:
[tex]7 < 5x - 16 \\ - 5x < - 16 - 7 \\ - 5x < - 23 \\ [/tex]
[tex] \boxed{Answer:{\boxed{\green{= x > \frac{23}{5}}}}} [/tex]
(7th grade math question)
In a week Dave will spend 150 minutes on cardio exercise and 75 minutes on weights. On Monday Dave spent 30 minutes on cardio and 15 minutes on weights. What percentage of his total exercise time for a week did Dave spend exercising on Monday?
A) 20%
B) 25%
C) 10%
D) 50%
Please answer soon
He spent 20% of his exercise time for the week on Monday!
How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!
Hope this helps, if not, comment below please!!!
:L
I need to know what the difference of this expression is.
(4 - 5i) - (12 + 11i)
Answer: -10-16i
Step-by-step explanation:
Given
(4-5i)-(12+11i)
Expand parenthesis
2-5i-12-11i
Put like terms together
(2-12)-(5i+11i)
Combine like terms
-10-16i
Hope this helps!! :)
Please let me know if you have any questions
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.
***HURRY TIMED TEST***
***WILL MARK BRAINLEST***
If f(x) = 8x + 7 and g(x) = square root x + 2, what is (fºg)(2)?
Answer:
[tex]8x + 7 =15 \\ gx + 2 =4 \\ [/tex]
If f(x) = 2x2 + 4 and g(x) = x - 6, determine f(-5) - g(-5).
53
-49
55
65
which one is the answer
Answer:
65
Step-by-step explanation:
f(x) = 2x² + 4
g(x) = x - 6
f(-5) = 2 * (-5)² + 4
= 50 + 4
= 54
g(-5) = - 5 - 6
= - 11
f(-5) - g(-5) = 54 + 11 = 65
Hope it will help you :)
Please anyone help anyway you can
Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?
Answer:
The interest will rack up to $7,200
The total will be $15,200
Step-by-step explanation:
the interest she pays is $7,000
the total amount she pays is $15,200
Jenna borrows $8,000 for college at a simple interest rate of 6%
she has 15 years to pay back the loan and interest
the interest can be calculated as follows
= 6/100 × 8,000
= 0.06 × 8000
= 480
= 480 × 15
= $7200
the total amount she pays can be calculated as follows
= $7200 +$8000
= $15,200
Hence the interest she pays is $7200 and the total amount is $15,200
please see the link below for more information
https://brainly.com/question/19334153?referrer=searchResults
Please help will give Brain!
Answer:
its 4 :)
Step-by-step explanation:
heyyy please give me brain i really am thankfull if you do and
also have a nice day hope this help and thank you very much.
An eye doctor charges an exam fee, plus a charge for the number of boxes of contact lenses purchased.
Lindsey had an exam and ordered 2 boxes of contact lenses for $112.97
Josh had an exam and ordered 6 boxes of contact lenses for $272.93
How much is the exam fee?
A$32.99
B$39.99
C$45.49
D$56.49
Answer:
to get the exam fee
$112•97 ÷ 2
45•49
$272•93 ÷ 3
56•49
Help please ASAP rn
Answer, population: 359 million
Answer:
Step-by-step explanation:
It went up 98 ten-tousandth, from 1950 to 1990 divide 2030, by 1990 and then multiply that answer by 98 ten-tousandth
HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0
Answer: x = 1
x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i
x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i
x2 = 0
Step-by-step explanation:
someone plz help me plz
Answer:
38.5
Step-by-step explanation:
First do 77/2 then you get 38.5, if anything is wrong please tell me!!
a) Find the value of 1.69 x 4.41
b) Find the value of (2.63 -0.87) - 2.076
Answer:
7.4529
Step-by-step explanation:
1.69 x 4.41=7.4529
What is the value of 3x^2– 7x + 9 when x = 4?
Answer:
29
Step-by-step explanation:
just substitute x with 4 in the equation :)
:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?
Answer:
I think 10
Step-by-step explanation:
you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.
HELP MATH HELP MATH math is hard pls help me and give workings too thank you so much
Answer:
For the first question the answer is 50(0.2 + 1)^2 = 72
For the second question it is y = 32
Step-by-step explanation:
In case you need to see how i got it...it's below
For number 1, y is proportional to (x + 1)^2
The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)
For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.
Hope this helps:)
Answer:
For the first question the answer is 50(0.2 + 1)^2 = 72
For the second question it is y = 32
Step-by-step explanation:
In case you need to see how i got it...it's below
For number 1, y is proportional to (x + 1)^2
The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)
For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.
Hope this helps:)
Step-by-step explanation:
find the sum of x^2 + 3x and 2x^2 + 9x + 5
Answer:
[tex] 3 {x}^{2} + 12x + 5[/tex]
Step-by-step explanation:
[tex](x^2 + 3x) + (2x^2 + 9x + 5) \\ \\ = x^2 + 3x + 2x^2 + 9x + 5 \\ \\ = {x}^{2} + 2 {x}^{2} + 3x + 9x + 5 \\ \\ = 3 {x}^{2} + 12x + 5[/tex]
Please help!! Help.
Step-by-step explanation:
1. Cosine
2. Relationship is Cos = adj/hyp
3. x is 14
4. The hypotenuse of the triangle is 14cm long
Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
factor 8x^2+10x-3
plz explain your answer
Answer:
look I have sent you the answer of your question.
This trinomial can be factored as two binomials.
So setup two sets of parenthses.
8x² can be factored as 8x · x or 4x · 2x
and -3 can be factored as +3 · -1, -1· +3, -3 · +1, or +1 ·-3.
If the middle term in the original trinomial is even,
try pairs of even factors first if you have that option.
In this case, we have a 4x and a 2x so let's try those first.
Let's do this with all the factors of -3.
So our first possible answer could be (4x + 3)(2x - 1).
Since the product of the outer terms, -4x, plus the product of the inner, 6x,
doesn't add to our middle term, this pair doesn't work.
Now let's try (4x - 1)(2x + 3).
The product of the outer terms, 12x, plus the product of the inner, -2x,
equals the middle term in our original trinomial, this pair works.
So our answer is (4x - 1)(2x + 3).
a number p divided by 7 is less than -3
The inequality expression is p ÷ 7 < -3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number = p
Now,
A number p divided by 7 is less than -3
This can be written as,
p ÷ 7 < -3
p/7 < 3
p < (7 x 3)
p < 21
Thus,
The number p is less than 21.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Please help if you can, thanks
Answer:
what does the picture say
Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm
Answer:
parallelogram 's perimeter =2(8.2+6.5)
""" =2×14.7
... = 29.4
perimeter of triangle=7.2+6.1+9.6
""""" =22.9
if you know what’s going on pls help thanksss
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to