Answer:
perimeter = 322.5 ft ( to the nearest tenth of a foot)
Step-by-step explanation:
Length the length of the sides of the square be L
Area of a square = L²
∴ 6,500 = L²
L = √(6,500)
L = 80.6226
Next Let us calculate the perimeter
Perimeter of a square = L + L + L + L = 4L
perimeter = 4 × 80.6226
Perimeter = 322.4904 ft
perimeter = 322.5 ft ( to the nearest tenth of a foot)
N:B rounding to the nearest tenth of a foot is same as rounding to 1 decimal place.
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other
ingredients. One gram of carbohydrate contains 4 calories.
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. What could the 5 represent in this situation?
2. Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.
3. Find the solution to the equation.
Answer:
Step-by-step explanation:
Total calories in a granola bite= 27
The calories contained are from grams of carbohydrates and other ingredients
One gram of carbohydrate contains 4 calories
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. 5 from the equation represent calories from other ingredients
2. Neither 8 nor 3 is the solution to the equation
4c + 5 = 27
When 8 is the solution
4(8)+5=27
32+5=27
37=27
When 3 is the solution
4(3)+5=27
12+5=27
17=27
Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.
3. Solution to the equation
4c + 5 = 27
4c= 27-5
4c = 22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
The solution to the equation is 5 1/2
montel collected 26 leaves for his science project. he wants to put 6 leaves on a page . which shows how many pages montel will need?
Answer:
4 full pages or 5 to use all the leaves
Step-by-step explanation:
26 leaves
6 per page
26/6 ≈ 4.33
4 full pages or 5 for all leaves
please help! will give brainliest Find the value of x. A. 74 B. 52 C. 64 D. 244
Answer:
C. 64
Step-by-step explanation:
x° = 1/2[(360° - 2*58°) -2*58°]
x° = 1/2[(360° - 116°)- 116°]
x° = 1/2[244°- 116°]
x° = 1/2[128°]
x° = 64°
x = 64
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
start before 7 a.m., Jeri charges 1.5 times the regular amount. If she made $29.25
on a job that began at 5 am, how many hours did Jeri work?
h = the number of
hours
that Jeri worked
1.5(3h + 4.50) = 29.25
1.50 3
+ 1.5(4.50) = 29.25
4.5h + 6.75 =
I
6.75
4.5h =
- 6.75
22.5
22.5
4.5h
4.5
h=
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
please help if you can :)
a) n² + 6
n=1
1² + 6 = 1 + 6 =7
n=2
2² + 6 = 4 + 6 = 10
n=3
3² + 6 = 9 + 6 =15
n=4
4² + 6 = 16 + 6 =22
7, 10, 15, 22
n=10
10² + 6 = 100 + 6 =106
10 th term-106
b) 3n²
n=10
3 x 10² = 3 x 100= 300
10th term- 300
Hope this helps!
Find f(2) given that f(x)=x2−5x+7.
f(2)=_____
Answer:
f(2) = 1
Step-by-step explanation:
To calculate f(2), substitute x = 2 into f(x) , that is
f(2) = 2² - 5(2) + 7 = 4 - 10 + 7 = 1
What is a exponent and how would I solve something with one?
Answer:
this is a hard one can u explain it more
Step-by-step explanation:
Answer: Hi!
An exponent is is a number that represents how many times a number is being multiplied by itself. It is shown as either a small number positioned on the top tight of a term or the symbol ^ between the term and the exponent. For example, if you had 4 to the power of 2, you would multiply 4 by itself 2 times. 4 * 4 is equal to 16.
Hope this helps!
Which pair of numbers has a GCF of 3? Group of answer choices (A) 3 and 18 (B) 8 and 24 (C)12 and 18 (D) 1 and 3
Answer:
A, B and C
Step-by-step explanation:
A) 3 and 18 = has 3 as factor
B) 8 and 24 = has 3 as factor
C) 12 and 18 = has 3 as factor
D) 1 and 3 = has as factor of 1 and 3
so the answer is A, B and C
Which of the following best describes the expression 5(x + 2)
5(x + 2) is the product of a constant factor 5 and a 2-term factor (x + 2 )
It gets the result: 5(x+2) = 5•x + 5•2 = 5x + 10
30 POINTS AND BRAINLIEST PLEASE HELP!!! Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school. 62 have blue ribbons, 55 have green ribbons, and 63 have white ribbons. 32 have a blue ribbon and a green ribbon; 31 have a green ribbon and a white ribbon; 38 have a blue ribbon and a white ribbon. 16 have all three ribbons. How many dogs have not learned any tricks?
Answer:
What are the list of answers for this question? That would kind of help narrow some of my answers down.
Step-by-step explanation:
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
О. 6
O. 15
O. 2
O. 1
Answer:
6
Step-by-step explanation:
Let thee number be x
Square of number: x²
Product of 6 and square of number = 6 *x² = 6x²
Expression: 6x² + 15
Coefficient of x² = 6
The value of the coefficient will be 6 for the expression.
What is Coefficient?A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Let thee number be x
Square of number: x²
Product of 6 and square of number
[tex]= 6 \times x^2 = 6x^2[/tex]
Expression will be
[tex]6x^2 + 15[/tex]
Coefficient of x² will be = 6
hence the value of the coefficient will be 6 for the expression.
To know more about Coefficient follow
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-5r + 2r = -3 aLGREBRA
Answer:
r = 1
Step-by-step explanation:
We can combine like terms, getting -3r = -3.
Then we can divide both sides by -3, and get r = 1.
Answer:
r = 1
Step-by-step explanation:
First, we'll simplify
-5r + 2r = -3
-3r = -3
Then, we divide
-3 divided by - 3 is equal to 1
Therefore, r = 1
Hope this helps!
I NEED HELP PLEASE :(
The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges. 0 300 600 900 1,200 $1,500 a. Estimate the median. B. Estimate the first and third quartiles. C. Determine the interquartile range. D. Beyond what point is a value considered an outlier? E. Identify any outliers and estimate their value. F. Is the distribution symmetrical or positively or negatively skewed?
Answer:
(a) The median estimate is 450.
(b) The first and third quartiles are 300 and 750 respectively.
(c) The interquartile range is 450.
(d) The particular value which is less than 150 or it is more than 1200, is considered as an outlier.
(e) Yes, there is one outlier in our data which is the value of 1,500.
(f) The distribution is positively skewed.
Step-by-step explanation:
We are given that the box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges. 0, 300, 600, 900, 1,200, 1,500.
(a) As we can see in the box plot that the middlemost data lies between 300 and 600, that means;
Median is given by the average of the two numbers, i.e;
Median = [tex]\frac{300+600}{2}[/tex]
= [tex]\frac{900}{2}[/tex] = 450
So, the median estimate is 450.
(b) As we know that the first quartile represents 25% of the data values and the third quartile represents 75% of the data values.
So, from the box plot given; we can observe that the first quartile, [tex]Q_1[/tex] = 300 and the third quartile lies between the values of 600 and 900, i.e;
Third quartile, [tex]Q_3[/tex] = [tex]\frac{600+900}{2}[/tex]
= [tex]\frac{1500}{2}[/tex] = 750
So, the first and third quartiles are 300 and 750 respectively.
(c) The interquartile range is given by the following formula;
Interquartile range = Third quartile - First quartile
= [tex]Q_3-Q_1[/tex]
= 750 - 300 = 450
(d) From the box plot; it is clear that if the particular value is less than 150 or it is more than 1200, then it is considered as an outlier.
(e) Yes, there is one outlier in our data which is the value of 1,500.
(f) The distribution is positively skewed because the more values are on the right side of the curve and it skewed towards the right.
Abby scored 87, 86, 93, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an average of exactly 91 on her history quizzes.?
A.94 B.98 C.100 D.90
Answer:
(C) 100
Step-by-step explanation:
The average of a data set is just all the numbers added up divided by the amount of numbers.
If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.
This means that the sum of all of the numbers in the data set will be [tex]91\cdot5=455[/tex] if the mean is 91.
We can find the missing value by adding up what we know and subtracting from 455.
[tex]87+86+93+89=355\\\\455-355=100[/tex]
So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.
Hope this helped!
A score which Abby needs to get on her fifth quiz to have an average of exactly 91 is equal to: C. 100.
What is an average?An average is also referred to as mean and it can be defined as a ratio of the sum of the total number in a data set to the frequency of each data.
In this exercise, we would assign a variable (S) to the unknown score from the fifth quiz with an average of exactly 91. Thus, the average for the fifth quiz is given by this mathematical expression:
91 = (87 + 86 + 93 + 89 + S)/5
91 = (355 + S)/5
Cross-multiplying, we have:
455 = 355 + S
S = 455 - 355
S = 100.
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What are the coefficients in the expression 4x - 2y + 1
Answer:
The leading coefficient is 4
Step-by-step explanation:
-6 can be classified as a
A. binomials
B. monomial
C. trinomi
Answer:
B) monomial
Step-by-step explanation:
If there is only one term in an expression, then it is monomial
A monomial is a real number, a variable, or a product of
a real number and one or more variables.
Since -6 is a real number, it's a monomial.
The United States uses the census to determine all of the following EXCEPT: A. race B. education C. marital status D. spending habits Please select the best answer from the choices provided A B C D
Answer:
Hey there!
The census never asks any questions about D. Spending Habits.
Let me know if this helps :)
Answer:
Your answer will be D
12 - 3x = 6 help please
Answer:
x = 2
Step-by-step explanation:
Solve for x:
12 - 3 x = 6
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
(12 - 12) - 3 x = 6 - 12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
-3 x = 6 - 12
Hint: | Evaluate 6 - 12.
6 - 12 = -6:
-3 x = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 x = -6 by -3:
(-3 x)/(-3) = (-6)/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
x = (-6)/(-3)
Hint: | Reduce (-6)/(-3) to lowest terms. Start by finding the GCD of -6 and -3.
The gcd of -6 and -3 is -3, so (-6)/(-3) = (-3×2)/(-3×1) = (-3)/(-3)×2 = 2:
Answer: x = 2
There are 1.2 grams of protein in a 1/2 cup serving of asparagus. How many grams of protein are there in 3 1/2 cups of asparagus?
Answer:
8.4 grams
Step-by-step explanation:
So if there are 1.2 grams of protein in a half cup serving, and you're trying to find how many grams in a 3.5 serving. Find the number of halves in 3.5
That would be 7, because 7 multiplied by 1/2 is 3.5
So then multiply 1.2 with 7
= 8.4 grams
I need The answers now hellllp please
Answer:
Step-by-step explanation:
6A = 60°
6B = 34°
Answer:
6a) 60 degree
6b) 27 degree
7a) b=60 degree and a=30 degree
7b) x=36 degree and x=36 degree
8a) 95 degree
8b) 100 degree
i posted the 9 th one and all the above ones with proper workout with your other question
Step-by-step explanation:
Help me for qn 2 guys
I need it as soon as possible
You find the litres of petrol you want and go up until you find where the line crosses this point and then see how far you can travel on the left so
a is 15km
and b is 39km
Someone please help. Please explain how I should do it!
Answer:
Step-by-step explanation:
if m and n are irrational number then the product of mn sometimes rational and sometime irrational
ex: √5 *√2=√10 irrational
ex: √8*√2=√16=4 rational
b-y=|x|+3
explain why |x|+3≥|x+3|
absolute value of any number is always positive
x |x|+3 ≥ |x+3|
1 4 = 4 in this case equal
2 5 5
-2 5 ≥ 1 in this case |x|+3≥|x+3|
in case of negative value of x then |x|+3>|x+3|
4a - 3 = D solve for a
Answer:
Hey there!
4a-3=D
4a=D+3
a=(D+3)/4
Let me know if this helps :)
Plz help ASAP WILL MARK BRAINLIEAT
Answer:
B
Step-by-step explanation:
2 units to right and 1 up
The base of a rectangular prism has an area of 888 square meters. The height of the rectangular prism is 555 meters.
Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showing the total weight for the various numbers of slices. What decimals will he write in the table?
Answer:
0.1[tex]\frac{}{6}[/tex]
Step-by-step explanation:
When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.
i.e [tex]\frac{1}{6}[/tex] = 0.166666666666666...
To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.
i.e [tex]\frac{1}{6}[/tex] = 0.1[tex]\frac{}{6}[/tex]
Note that [tex]\frac{}{6}[/tex] has expressed that the division has 6 as the repeating digit in the decimal number.
Una receta exige 8 litros de agua: si tuvieras una jarra de 8 litros no habría problema, pero no posees más que 2 jarras sin graduar, una de 10 litros y otra de 6. ¿Es posible medir los 8 litros que necesitamos? —Explicar procedimiento
Answer:
First, you fill the 6L cup.
Then you add everything to the 10L. There would be a difference of 4L.
You put a line on the 6L added. And then you fill it up until it completes the 10L. Repeat the process 2 times adding water up to 10L and adding the 4L difference to the recipe.
Step-by-step explanation:
- 8L are needed for a recipe.
- You have a 6L jug and a 10L jug without graduation.
- You fill the 6L of the jug and put it in the 10L jug, and put a line that marks the 6L.
- Then you complete the 10L, empty until the water is with the same 6L of water, and repeat the process.
- So you complete 4L without having graduated jugs.
I cant seem to figure this out at all i only know exteriors to a degree
==========================================================
Explanation:
There are two methods you could use. The first method involves the remote interior angle theorem. This says the remote interior angles (the two y angles) add to the exterior angle (130)
y+y = 130
2y = 130
y = 130/2
y = 65
--------
Or we could find the interior angle that is adjacent to the 130 degree angle. This is 180-130 = 50 degrees. So this is the top interior angle of the triangle. For any triangle, the three interior angles always add to 180
angle1+angle2+angle3 = 180
y+y+50 = 180
2y+50 = 180
2y = 180-50
2y = 130 ... from here on out, the steps are the same as above
y = 130/2
y = 65
So this helps show how the remote interior angle theorem is set up
Solve the equation
B=...
Please helppppp
Answer:
solve for b
1/3 - 3x/6 = -1/6
3y + 5 + 2 + y = 2y + 4
x'2 + 2x - 8 = 0
I think this is correct.