Answer:
1. width = 51 m
2. length = 84 m
Step-by-step explanation:
So remember, the area is (length * width).
It is given that the length is 97, and the area is 4947.
So plug this into a formula:
length * width = area
97 * width = 4947
Solve using inverse operations;
97 * width = 4947
/97 /97
width = 51m
The perimeter of a rectangle can be found by doing, (2 * (length + width)).
The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:
2 * ( length + width) = perimeter
2 * (length + 68 ) = 304
Distribute;
2 * ( length + 68) = 304
2 length + 136 = 304
Inverse operations;
2length + 136 = 304
-136 -136
2length = 168
/2 /2
length = 84m
Answer:
The answer for number 1 is width = 51 m
The answer for number 2 is length = 84 m
Step-by-step explanation:
16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories
Answer:
d. 165 calories
Step-by-step explanation:
First of all, we would find the amount of calories in 1 gram of the artificial sweetener
1 gram = 220/75
1 gram = 2.93 calories
Therefore, 484 grams has;
484 * 2.93 = 165.2
Approximately, this is equal to 165 calories.
Method 2
220 grams of the artificial sweetener has 75 calories.
484 grams of the artificial sweetener has x calories.
Translating the word problem into an algebraic equation, we have;
220 = 75
484 = x
Cross-multiplying, we have;
220x = 75*484
220x = 36300
x = 36300/220
x = 165 calories.
f (x) = (x + 1)(x - 3)(x - 4)
Answer:
f(x) = [tex]x^3-6x^{2} +5x+12[/tex]
zeros : -1,3,4
Step-by-step explanation:
Answer:
I solved for the function operation and got 4.53407019
Step-by-step explanation:
Hope this helps!! :)
For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:
Answer:
6
Step-by-step explanation:
What is the value of x in the equation *x - y = 30, when y = 15?
4.
ООО
8
80
200
Answer:
45
Step-by-step explanation:
[tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15
So, I guess you are just messed up with the Xs and Ys.
And I'm not sure what is the 4. ООО 8 80 200 about but here is my guess :
So [tex]x[/tex] - [tex]y[/tex] = 30 and [tex]y[/tex] = 15.
First step, substitute the [tex]y[/tex] into the equation [tex]x[/tex] - .
So, it would be
[tex]x[/tex] - 15 = 30.
Now, we need the value of [tex]x[/tex].
[tex]x[/tex] - 15 = 30
Group the terms together :
[tex]x[/tex] - 15 ( +15 ) = 30 ( +15 )
So, [tex]x[/tex] would be equals to 30 + 15. And in other words, it would be 45.
So :
[tex]x[/tex] = 45.
Wanna check whether my answer's correct?
Substitute [tex]x[/tex] into [tex]x[/tex] - 15 = 30
That would be :
45 - 15 = 30
So is 45 - 15 = 30?
Yep.
So 45 is the answer.
The value of X is 45.
HOPE THIS ANSWER HELPED :)what is the x intercept of the line
Answer:
Hey man! Please upload a picture of your line and I'll hapily find the x intercept. If you can't the way to find an x intercept is to see where the x is zero and find what the y is so (0,y)
Which algebraic expression is equivalent to the expression below?
(16x + 1) - 5x
A.
21x + 1
B.
16x + 4
C.
11x - 1
D.
11x + 1
Answer:
D
Step-by-step explanation:
(16x +1) -5x
you basically subtract the -5x from 16x
11x +1
A grocery store sells a bag of 4 lemons for $0.79. Which pricing option would result in the same unit price for each lemon?
O A. twelve lemons for $2.37
O B. three lemons for $0.65
O C. six lemons for $1.20
OD two lemons for $0.35
Plz help for 20 points
Answer:
.79/4= .197. Or 20 cents each
The cost per unit of lemon in Option A is same as given per unit cost of lemon in grocery store that is $0.1975
What is cost per unit?Cost of per unit is cost of one unit. Cost per unit can be calculated simply by dividing the total cost of all items by the quantity of given item.
Given Cost of 4 lemons in a grocery store = $ 0.79
Cost of 1 lemon in the grocery store = total cost / 4 = $ 0.79÷ 4 = $0.1975
To check pricing option for same pricing check per unit price of each option.
A. Given twelve lemons for $2.37
Given Cost of 12 lemons = $ 2.37
Cost of 1 lemon = total cost / 12 = $ 2.37 ÷ 12 = $0.1975
B. Given three lemons for $0.65
Given Cost of 3 lemons = $ 0.65
Cost of 1 lemon = total cost / 3 = $ 0.65 ÷ 3 = $0.2167
C. Given six lemons for $1.20
Given Cost of 6 lemons = $1.20
Cost of 1 lemon = total cost / 6 = $ 1.20 ÷ 6 = $0.2
D. Given two lemons for $0.35
Given Cost of 2 lemons = $0.35
Cost of 1 lemon = total cost / 2 = $ 0.35 ÷ 2 = $0.175
Therefore , option A has same per unit cost $0.1975 as given pricing of the grocery store.
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HELP I WILL MARK BRAINLIEST
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 1 cm
helpppppp meeee!!!!!!!
Answer:
IT>RT>RI
Step-by-step explanation:
sin72°>sin67°>sin41°
Which expression is equivalent to 27 + 45? (1 point) 8(3+6) 8(19 + 37) 09(3 + 5) O 9(18 + 36)
Answer:
9(3+5)
Step-by-step explanation:
My favorite pancake recipe
2 cups all purpose | plain flour, (290 g | 10 oz)
1/4 cup granulated sugar or sweetener, (60g | 2 oz)
4 teaspoons baking powder
1/4 teaspoon baking soda
1/2 teaspoon salt
1 3/4 cups milk, (440ml)
1/4 cup butter, (60g | 2 oz)
2 teaspoons pure vanilla extract
1 large egg
Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!
Answer: 8(3+6)
Step-by-step explanation:
Help please I don’t get
Answer:
answer: 5^36
Step-by-step explanation:
(5^9)^4
5^9x4
5^36
answer: 5^36
alternative form 1.45519x 10^25
Answer:
is 5^36
Exact Form:
14551915228366900000000000
Decimal Form:
1.45519152⋅10^[tex]{25}[/tex]
which graph represents the function h(x)=2sin(x+pi/2)-1 ?
This graph represents the function h(x)=2sin(x+π/2)-1.
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
This graph represents the function h(x)=2sin(x+π/2)-1.
The range is the set of values that correspond with the domain.
Domain of graph: (−∞,∞),{x|x∈R}
Range of graph: [−3,1],{y|−3≤y≤1}
Use the form asin (bx−c)+d to find the amplitude, period, phase shift, and vertical shift.
Amplitude: 2
Period: 2π
Phase Shift: −π/2 (π/2 to the left)
Vertical Shift: −1
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1+1 explain in ironically amazing detail!
Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Given: ∠CDE ≅ ∠CED, ∠A ≅ ∠B, Prove: DE ∥ AB
Answer:
angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both
Step-by-step explanation:
A company charges 59.99 for cable TV and 49.99 per month for basic cable service How much will it cost for installation and one year of basic cable service
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
320 caloriesStep-by-step explanation:
Small order of fries at Wendy’s = x calories
Small order of fries at McDonald’s = y calories
x = y + 90x + y = 550Substitute x in the second equation
y + 90 + y = 5502y = 550 - 902y = 460y = 230Then, x is:
x = 230 + 90 = 320 caloriesWrite an equation that represents the following word problem.
Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
a + (a - 4) = 12
a + (a + 4) = 12
both of these would work
neither of these would work
Answer:
Both would work.
Step-by-step explanation:
If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!
Answer:
both
Step-by-step explanation:
I got it right on the quiz
Is the percentage illumination of the moon's surface a linear function of the day
Answer:
No (The linear model did a very bad job of approximating the data.)
I am so sorry if this in incorrect.
The percentage illumination of the moon's surface is not a linear function of day
How to determine the true statement?From the complete question, the dataset can be represented using the following table:
Days Percentage Illumination
1 2%
2 6%
3 50%
4 100%
Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals
This means that the percentage illumination is not a linear function of day
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Calculate 21+23+25...+81
Answer:
150
Step-by-step explanation:
Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
168 students enrolled in a freshman-level chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed.
Answer:
33.6
Step-by-step explanation:
HELPPPP PLEASEEE ASAPPPPP
Answer:
Step-by-step explanation:
PQRS
PQ + QR + RS + PS = 186
RS = SP - 7
PQ = RS = x - 7
QR = PS = x
2x + 2(x - 7) = 186
4x = 200
x = 50
PQ and RS = 43
QR and SP are 50
I need help with this, Please explain to me this.
Answer:
Ithink b
Step-by-step explanation:
because all of them are they dissimilar to the reason
can someone help me with this and can someone tell me what operation it is
Answer:
12.78
Step-by-step explanation:
63.65 divided by 5 = 12.7
Answer:
Equation:63.65÷5=12.73
A)$12.73
Step-by-step explanation:
Division is this symbol ÷
Your problem directly states to divide the amount in money by the amount of children
The midpoint of the segment joining (0,0) and (16, 16) is 8.
True or false?
Answer:
True
Step-by-step explanation:
If you look on a graph you can see that the midpoint of the segment is 8.
Hope this is right and helps!
A sample of 5 months of sales data provided the following information:
Month 1 2 3 4 5
Units Sold 97 120 88 97 93
Required:
a. Develop a point estimate of the population mean number of units sold per month (to 1 decimal).
b. Develop a point estimate of the population standard deviation (to 2 decimals).
Answer:
a. 99
b. 12.31
Step-by-step explanation:
a. Estimate of the population mean number of units sold per month
n = Number of Data Values = 5
Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 = 495
Sample Mean = X = Σxi/n = 495 / 5 = 99
The population mean number of units sold per month is 99
b. Estimate of the population standard deviation
Month Data (x) X x - X (x - X)^2
1 97 99 -2 4
2 120 99 21 441
3 88 99 -11 121
4 97 99 -2 4
5 93 99 6 36
Sum of deviation squared 606
s^2 = Sample Variance = Σ(xi - X)2/(n - 1)
Sample Variance = 606/4 = 151.5
Sample Standard Deviation = √Sample Variance
Sample Standard Deviation = √151.5
Sample Standard Deviation = 12.30853362509117
Sample Standard Deviation = 12.31
The point estimate of the population standard deviation is 12.31
Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. a. Calculate a 95% two-sided confidence interval on the death rate from lung cancer. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Answer:
a. The 95% confidence interval is 0.799<p<0.847
b. The sample size n is 622
Step-by-step explanation:
A
P^ = 823/1000
= 0.823
At 95% confidence interval
P^ +- z-alpha/2√p^(1-p^)/n
z-alpha/2 = 1.96
When we insert values we get:
0.823+-1.96√0.823(1-0.823)/1000
= 0.823+-1.96√0.000145671
= 0.823+-1.96(0.012069)
= (0.8467, 0.7993)
The 95% confidence interval is 0.799<p<0.847
B.
We are to compute the sample size here.
The formula and full calculation has been done in the attachment.
4268.4x0.145671
= 621.78
= 622
n = 622
are sports important in our life why?
Answer:
I think so yeah to keep a healthy lifestyle
Step-by-step explanation:
to get fit, and possibly lose weight
Answer:
Sports are a fundamental part of the lives of millions of men and women all over the world. Sports helps build talent and hobbies so that the people can be better at delivering them for personal and professional purposes. Sports also serve as a good leisure activity meant to relieve one from physical and emotional stress hence a healthy living.
Step-by-step explanation:
What is the y-intercept of the function fx) = -2/9x + 1/3
O -2/9
O- -1/3
O- 1/3
O-2/9
Answer:
Step-by-step explanation:
The answer is 1/3
Find the simple interest earned after 5 years on $800 at an interest rate of 9
Answer: It would be $1160
write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)
Answer:
y - 8 = 1/3 (x + 2)
Step-by-step explanation:
The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).
Hope this helps!
The equation of the line will be written as to y - 8 = 1/3 (x + 2).
What is an equation of the line?
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,
y - y₁ = m(x - x₁)
y - 8) = (1/3)(x + 2 )
Therefore, the equation of the line is equal to y - 8 = 1/3 (x + 2).
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