Answers
26(26 + d) = 22(22 + 40)
676 + 26d = 22 * 62
26d = 1364 - 676
26d = 688
d = 688/26
d = 26.5 ← to the nearest tenth
Related Questions
Add 3 7/12 +2 7/9. Simplify the answer and write as a mixed number.
Answers
3 7/12 = 43/12
2 7/9 = 25/9
both denominators must be the same to add together.
(25/9)x 12
(43/12) x 9
300/108 + 387/108 =
687/108
which in its simplest form is 229/36
and in a mixed number is 6 13/36
cross multiply 9 ×7 and 12 ×7
3 63/108 + 2 84/108 => 3 147/108 => 4 39/108
Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings. Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is
Answers
then Derek earns 30 $+x $ =30+x ($)
Assume Derek earns y dollars, then
y= 30+x
to find x, the 1,000 sq feet area Derek mowed, we isolate x, that is we write x in terms of y, his earnings:
y= 30+x
x = y-30
Thus, the function A, which gives the area mowed in terms of the earnings y is :
x= A(y) = y-30
A(204)=204-30=174
A(344)=344-30=314
A(450)=450-30=420
A(482)=482-30=452
A(504)=504-30=474
Thus Derek earned 204, 344, 450, 482, 504 dollars for mowing correspondingly
174,000; 314,000; 420,000; 452,000 ; 474,000 square feet.
Answer: A(y) = y-30, is the function which gives the 1,000y square feet area mowed when earning y dollars.
Remark:
or A(x)=x-30, since x or y is a 'dummy variable', it doesn't make any difference in describing the function.
Answer:
{174,000, 134,000, 420,000, 452,000, 474,000}
Which of the following numbers has a value that is between 10% and 1/9? (a) 0.151 (b) 0.112 (c) 0.108 (d) 0.019
Answers
10% = 0.10
1/9 = 0.11
So the answer has to be between 0.10 and 0.11.
A is more than 0.11.
B is more than 0.11.
C is between 0.10 and 0.11.
D is less than 0.10.
The answer is C. 0.108.
Among the given options, (c) 0.108 is the only number that lies between 0.10 (which is the decimal equivalent of 10%) and 0.111 (which is approximate decimal equivalent of 1/9).
Explanation:To answer the question "Which of the following numbers has a value that is between 10% and 1/9?", we first need to convert 10% and 1/9 into decimal form. 10% is equivalent to 0.10, and 1/9 is approximately 0.111. We are therefore looking for a number between 0.10 and 0.111.
Reviewing the options, (a) 0.151, (b) 0.112, (c) 0.108, and (d) 0.019, we see that only (c) 0.108 fits because it falls between 0.10 and 0.111.
Therefore, the correct answer is (c) 0.108.
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Please help answer this questionnnn
Answers
y=5
5=1/4x^2+1
4=1/4x^2
16 = x^s
x = square root (16) = 4
x=3
y= 1/4(3)^2+1 = 3 1/4 = 13/4
is 3 sin(alpha)+4 cos(beta)=8 possible
Answers
Answer:
No, it's not possible
Step-by-step explanation:
We know that for various values of x , [tex]-1\leq \sin x\leq 1[/tex]
and [tex]-1\leq \cos x \leq 1[/tex]
For values of [tex]\alpha[/tex], [tex]-1\leq \sin \alpha\leq 1[/tex]
On multiplying all sides by 3, we get
[tex]-3\leq 3\sin \alpha\leq 3[/tex]
For values of [tex]\beta[/tex], [tex]-1\leq\cos \beta\leq 1[/tex]
On multiplying all sides by 4, we get
[tex]-4\leq 4\cos \beta\leq 4[/tex]
On adding all sides of [tex]-3\leq 3\sin \alpha\leq 3\,\,,\,\,-4\leq 4\cos \beta\leq 4[/tex] , we get
[tex]-3-4\leq 3\sin \alpha+ 4\cos \beta\leq 3+4\\-7\leq 3\sin \alpha+ 4\cos \beta\leq 7[/tex]
Therefore, maximum value of [tex]3\sin \alpha+ 4\cos \beta[/tex] is 7.
So, it's not possible that [tex]3\sin \alpha+ 4\cos \beta=8[/tex]
How to write x2+y2+2x-12y-9 in Standard form
Answers
-5/4x -5= -35 solve for x
Answers
-5/4x = -30
x = -30 (-4/5)
x = 24
Can u help idk how to write it ?
Answers
For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.
For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30
For part C,
30x ≥ 2,000
x ≥ 66.67
For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.
Solve for x. Rs/x =1/4 A. X=rs/4 B. X=4/rs C. X=1/4rs D. X=4rs
Answers
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
[tex]\frac{Rs}{x}=\frac{1}{4}[/tex]
We need to solve the given equation for x.
On cross multiplication we get
[tex]Rs\times 4=1\times x[/tex]
On further simplification we get
[tex]4Rs=x[/tex]
The value of x is 4 times of Rs. Only option D represents this situation.
Therefore, the correct option is D.
four times the square of a non-zero number is equal to twelve times the number.
Answers
4x^2 - 12x = 0
4x(x - 3) = 0
4x = 0
x = 0...not this one
x - 3 = 0
x = 3 <== ur number
3 is the number whose four times the square is equal to twelve times 3.
What is equation?An equation is a relationship between two or more variables expressed in equal to sign. It is solved to find the value of variables. Equation of two variables will look like ax+ by=c.
How to find number?Let the required number be x.
According to question we have to form an equation which will be:
4[tex]x^{2}[/tex]=12x
[tex]4x^{2} -12x=0[/tex]
4x(x-3)=0
4x=0, x-3=0
x=0, x=3
Non negative number=3
Hence 3 is the number whose 4 times square is equal to 12*3.
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Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
Answers
Answer:
Tess is wrong and Dan is correct because the tax is calculated after discount.
Step-by-step explanation:
if a four sided figure has four right angles, then it has four congruent sides. Prove it wrong.
Answers
What is the value of the expression 2 + 32 ⋅ (4 − 1)?
Answers
2 + 32 • 3
2 + 96
= 98 Parenthesis
Exponents
Multiply
Divide
Addition
Subtraction
Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:
f(x) = 3x2 + 2
g(x) = x − 8 (1 point)
Answers
Answer:
Given the functions:
[tex]f(x) = 3x^2+2[/tex]
[tex]g(x) = x-8[/tex]
we have to find [tex](f \cdot g)(2)[/tex]
[tex](f \cdot g)(2) = f(2) \cdot g(2)[/tex] ....[1]
Substitute the value of x = 2 in f(x) and g(x) we have;
[tex]f(2) = 3(2)^2+2 =12+2 = 14[/tex] and
[tex]g(2) = 2-8 = -6[/tex]
Substitute these in [1] we have;
[tex](f \cdot g)(2) = 14 \cdot -6 = -84[/tex]
Therefore, the value of [tex](f \cdot g)(2)[/tex] is, -84
Emily made 75% of the baskets that she attempted if she may nine baskets how many attempts did you make?
Answers
75/100= 9 baskets/ x attempts
The ratio of numerator to denominator should be 75/100 which simplifies to 3/4. 3/4= 9/x
3*3=9, 4*3=12
x=12
Final answer: 12 attempts
What is the sum of 4.2•10^5 and 5.3• 10^5
Answers
The best length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?
Answers
Plug it into the formula.
4*2=8
8/2=4
Final answer: 4 ft^2
Which statement is false? A.The all them of a regular polygon is perpendicular to the side. B.the radius of a regular polygon is always greater than the all them. C.the perimeter of a regular hexagon is 6r. D.the perimeter of a regular n-gob is the area divided by the all them.
Answers
I have to find the unit rate of change. Can somebody plz explain to me how to do it. I have an idea but I don't remember exactly how.
Answers
Hope the explanation helped!
What is the value of z in the equation 5z − 9 = 36? 4 5 6 9
Answers
5z = 36+9
5z = 45
Divide both terms by 5
5z/5 = 45/5
z = 9
add 9 to both sides
5z - 9 + 9 = 36 + 9
5z = 45
divide both sides by 5
5z / 5 = 45 / 5
z = 9
What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3
Answers
Pertinent quotient rule for similar bases with exponents...
(a^b)/(a^c)=a^(b-c) so what you really have is:
(4.8/1.6)(10^(9-3))
3(10^6)
3X10^6
a carpet measures 7 ft long and has a diagonal measurment of 8.60 ft . How do i solve to find the width of the carpet?
Answers
The Pythagorean therorem states the a^2+b^2(the sides of the triangle adjacent to the right angle) = c^2(the hypotenuse/diagonal)
Now lets plot the information into the Theorem.
7^2+b^2=8.6^2
Solve for b
49+b^2=73.96
b^2=73.96-49
b^2=24.96
b=√(24.96)
b=4.99599839872
The Width would be 4.99599839872 ft.
Hope this helps!
During an 8 hour car ride to Georgia, my dog Pepper whined for 1/3 of the ride. How many hours did she whine
Answers
multiply 8 by 1/3
8* 1/3 = 8/3 =2 2/3 hours
Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. Find her earnings during a week in which sales totaled $3000.
Answers
$3000 x 15% = $450
$450 + $250 = $700
Final answer:
To calculate Nicole Tobin's earnings for a week in which her sales totaled $3000, we first determine the total sales eligible for commission and then calculate 15% commission on that amount. Adding the resulting commission to her weekly salary of $250 gives us Nicole's total earnings for the week, which are $475.
Explanation:
Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. To calculate her earnings during a week in which her sales totaled $3000, we need to find out the commission on the sales exceeding $1500 and then add it to her weekly salary.
First, we calculate the amount eligible for commission:
Sales = $3000
Threshold for commission = $1500
Eligible amount for commission = Total sales - Threshold for commission = $3000 - $1500 = $1500
Next, we calculate the commission:
Commission rate = 15%
Commission = Eligible amount for commission × Commission rate = $1500 × 0.15 = $225
Finally, we find Nicole's total earnings:
Weekly salary = $250
Total earnings = Weekly salary + Commission = $250 + $225 = $475
Nicole's earnings for the week are $475.
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Answers
3/4 * 6/1 =
18/4 =
4.5 miles per hr <==
You run 6 miles in 1 hour. At this rate how long will it take you to run a marathon of 26 miles?
Answers
Cross multiplication method.
1 hr*26 miles= 26
26/6= 4 1/3
4 1/3=x
Final answer: 4 1/3 hrs or 4 hrs and 20 minutes
What is 10 times 7 thousands
Answers
answer correctly for brainliest
Answers
2. C
3. E
4. A
5. B
2) C
3) E
4) A
5) B
This is true because the phrases are simply defining what is going on in the equation.
The ratio between the number of cats (c) and the number of dogs (d) in the shelter is 3. There are 27 cats in the shelter. How many dogs are in the shelter?
Answers
Since the ratio is 3:1, that means for every 3 cats you get one dog.
Therefore your answer is 9
Find two numbers that have 2,3 and 5 as factors. What other factors do the two numbers have in common?
Answers
30 has 2,3, and 5 as factors....
60 has 2,3, and 5 as factors...
both 30 and 60 also have common factors of 1,6,10,15,and 30
Two numbers are 30 and 60 that have 2,3 and 5 as factors.
What is LCM ?LCM is the least common multiple of two or more that two given numbers which is exactly divisible by these given numbers.
According to the given question we have to find two numbers that have 2, 3 and 5 as common factors.
To find least such number which have common factor of 2, 3 and 5 we have to take LCM of 2, 3 and 5.
The LCM of 2, 3 and 5 is 30.
The next such possible higher numbers will be of the form 30k, where k is an integer.
At k = 2,
The number 30k will be 30(2) which is
= 60.
We can find any such form of numbers by putting different integer value of k.
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