Answer:
the answer is none of the above
Step-by-step explanation:
A box of cereal states that there are 99 calories in a
3/4 cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?
The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a box of cereal states that there are 99 calories in a 3/4 cup serving.
The number of calories per cup is calculated as,
3 / 4 cup = 99 calories'
1 cup = 99 x (4 / 3 )
1 cup = 132 calories
The number of calories for 4 cups of cereal,
1 cup = 132 calories
4 cup = 132 x 4 calories
4 cup = 528 calories
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
To know more about an expression follow
https://brainly.com/question/18762453
#SPJ1
Find the length of the third side. If necessary, write in simplest radical form.
Legs- 9 and 7
Hypotenuse-?
Answer:
√130
Step-by-step explanation:
|
? | 7
|
---------------------------
9
a² + b² = c²
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
√130 = c
I hope this helps!
REASONING 11. Can the value of o*g_{2}(- 4) * befounc ? What about the value of log ? Why or why not ? What does this tell you about the domain of log ?
Joan Arlington ha twice a much money inveted at 5% imple annual interet a he doe at 4%. If her yearly income from the two invetment i $175, how much doe he have at each rate?
the amount invested at 4% interest rate = P = $1228.57
The amount invested at 5% interest rate = 2P = $2457.14
What is principle interest ?
Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.
We will use the simple interest formula: A=P(1+rt)
where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.
A1=P(1+0.04*1) simplified: A1=P(1.04)
A2=2P(1+0.05*1) simplified: A2=2P(1.05)
because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.
A1+A2-P-2P=175 because the total income is $175.
Substituting in equations 1 and 2 we get:
P(1.04)+2P(1.05)-P-2P=175
1.04P+2.1P-3P=175
3.14P-3P=172
0.14P=172
P=1228.57
So, the amount invested at 4% interest rate = P = $1228.57
The amount invested at 5% interest rate = 2P = $2457.14
To learn more about principle interest from the given link
https://brainly.com/question/25545513
#SPJ4
Find the length of the segment connecting (-4, 3) and (-5,2). Provide
an answer accurate to the nearest tenth.
The length of the segment connecting (-4, 3) and (-5,2) is 1.4.
How to find length of segment?The length of a line segment can be measured by measuring the distance between its two endpoints.
Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:
length of the segment = √(2 - 3)² + (-5 + 4)²
length of the segment = √(-1)² + (-1)²
length of the segment = √1 + 1
length of the segment = √2
length of the segment = 1.41421356237
length of the segment = 1.4
learn more on line segment here:https://brainly.com/question/24614801
#SPJ1
What are the maximum dimensions of a rectangle with a perimeter of 12.
Answer:
3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.
-9x - 2y = -12
-3x = y
In 1972, about 22 crushed beverage cans weighed one pound. In 2002, beverage cans were lighter and about 34 crushed beverage cans weighed one pound. Every minute of every day, an average of 113,204 beverage cans are recycled. A: About how many pounds of beverage cans are recycled in an hour?
B: About how many tons of beverage cans are recycled in an average day?
C: About how many kilograms of beverage cans are recycled in a day?
A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds
B) The number of tons that the beverage cans are recycled in an average day is 2397 ton
C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg
What is a pound?The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.
In 2002 about 34 beverages can weigh one pound.
In one minute 113204 beverage cans are recycled.
In one hour, 60 minutes number of beverage cans recycled=113204×60
=6792240
34 beverage cans weight 1 pound
1 beverage cans weight=1/34 pounds
A) 6792240 beverage can weigh=1
=(1/34)(6792240) pound
=119771.765 pound
≈119772 pound
B) So, In 24 hours, no. of pounds recycled
=119772×24 pound
=119772×24×0.0005 ton
=2397.26 ton
≅2397 ton in one day.
C) So, In 24 hours, no. of tons recycled
=2397×24 ton
=2397×24×1000 kg
=57528000 kg
To know more about pound, visit:
https://brainly.com/question/11358032
#SPJ9
find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. (2 points)
Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.
Given that,
Length of major axis(2a)=6.
So
a=6/2
=3
Length of minor axis(2b)=4.
So
b=4/2
=2
Putting in equation of standard ellipse. We get
[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]
After simplifying
4y² + 9x² = 36
To know more about cone follow this link: https://brainly.com/question/1082469
#SPJ4
Segment BD bisects angle ABC measure angle ABC equals 7x. The measure angle ABD equals 3x+25. Find the measurement of angle DBC
The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.
What is angle bisector?
An angle bisector is the ray or line segment that divides the angle into two equal parts.
Since the segment BD bisects angle ABC hence,
∠ABC = ∠ABD+∠DBC ..... (1)
Also, since segment BD bisects angle ABC hence,
∠ABD = ∠DBC
Use this fact in equation (1)
∠ABC = ∠ABD+∠ABD
∠ABC =2 ∠ABD
Now, substitute values and use algebriac multiplication.
7x = 2(3x+25)
7x = 6x+50
7x - 6x= 50
x=50
Now, substitute the value of x in the expression of ∠ABD.
∠ABD = 3x+25
∠ABD = 3(50)+25
∠ABD = 100
Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.
Hence, the measurement of angle DBC is 100°.
Learn more about angle bisector from the following link:
https://brainly.com/question/24334771
#SPJ4
The correlation coefficient r between an employee's age, x, and yearly salary, y, is
0. 923
What percent of the variation in yearly salaries can be explained by differences in the
employees' ages?
31. 7%
40. 1%
85. 2%
92. 3%
The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.
What is correlation coefficient?The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.
Here,
The correlation coefficient= 0.923
The percent of variation,
=correlation coefficient²*100
=0.923²*100
=85.192%
=85.2%
When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.
To know more about correlation coefficient,
https://brainly.com/question/17792263
#SPJ4
Which ordered pair makes the equation equal?
y = x - 2
Select one:
A.
(7, 9)
B.
(5, 3)
C.
(7, 14)
D.
(5, 7)
Answer:
B: (5,3)
Step-by-step explanation:
We just fill in the coordinates
A: (7,9)
9=7-2
9=5
not true
B: (5,3)
3=5-2
3=3
true
C: (7,14)
14=7-2
14=5
not true
D: (5,7)
7=5-2
7=3
not true
so b is the only correct answer
hopes this helps please mark brainliest
Melissa is planning to rent out a limo for her friends and herself for prom. Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile traveled. If Melissa aid the limousine driver $200 for prom, how many miles did she travel that night?
The number of miles Melissa travelled that night is approximately 667 miles.
How to find the distance travelled by Melissa?Melissa is planning to rent out a limo for her friends and herself for prom.
Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile travelled.
Melissa aid the limousines driver $200 for prom. The number of miles she travel can be calculated as follows;
using equation,
y = 450 + 0.3x
where
x = number of miles travelledy = total costTherefore,
200 + 450 = 450 + 0.3x
650 = 450 + 0.3x
650 - 450 = 0.3x
200 = 0.3x
x = 200 / 0.3
x = 666.666666667
x = 667 miles
learn more on equation here: https://brainly.com/question/29031411
#SPJ1
A safe-breaker is attempting to crack a safe with a 7-combination code. So far they have worked out that: the first digit is double the third digit the code is a palindrome (it reads the same if it is reversed) the fourth number is 7 the third number is one less than the sixth number the second number is 3 less than the fourth number.
The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.
What is a Palindrome?A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.
The following straightforward procedure may be used to find other palindromes given any set of integers.
Start with any number in step one. Identify it as original number. Reverse the original number's digits.
Call the number whose numbers have been reversed in step two. The new number should be added to your original one.
Call the number discovered by combination of the new number with the test number.
Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.
How to solve?
Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.
As per the question d=7, c=f-1 and,
b=7-3 = 4.
Since the number is palindrome so b=f. Therefore f=4.
Now, c=f-1 => c = 4-1 = 3, and c = e = 3.
Also, a=2c => a=6.
Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.
To learn more about Palindrome, visit:
brainly.com/question/21901688
#SPJ4
5 divided by 19 vvchgdvbdvvvdbbxbvxvvdhhsjjshhhdbhshhhdhhshshhshdggdhshgdgfduhf
The wholesale price for a desk is $137 . A certain furniture store marks up the wholesale price by 16% . Find the price of the desk in the furniture store.
The marked-up price of the desk in the furniture store is $158.92.
What is the markup?The markup is the difference added to the cost of a product or service.
The markup represents the seller's profit on the cost.
The markup differs from the margin, which is the ratio of the seller's profit to the sales price.
The wholesale price of a desk = $137
Markup rate = 16%
Marked-up price = $158.92 ($137 x 1.16)
Thus, the desk is sold at the marked-up price of $158.92.
Learn more about markup and margin at https://brainly.com/question/13248184
#SPJ1
A coffee shop sells various types of hot beverages. For one particular drink, the store owners are trying to determine the price that will result in the best sales. The revenue, cost, and profit functions for this drink, based on price, are represented on the graph. Using the graph, which price should result in the maximum profit for the sales of this drink?
A graph shows the Price per Drink in dollars on the x-axis and the Total in dollars on the y-axis. A parabola R of x vertex at (3.5, 2,800) intercepts the x-axis. Another parabola P of x vertex at (4, 1,600) and C of x intersect both parabolas
A.
$2.85
B.
$3.60
C.
$4.00
D.
$5.80
Answer:
C. $4.00
Step-by-step explanation:
Profit, which is given by [tex]P(x)[/tex], is maximized when the price per drink is $4.00, as shown on the graph.
almost every american adult has this thing
Answer: omm
but I need this so
Step-by-step explanation:
Which function matches the graph?
A. f(x)=(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)
Answer:
Choice B
Step-by-step explanation:
The graph crosses the xy-plane at the following places for x:
x = -5
x = -2
x = 3
x = 7
Look at choice B.
Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.
40 PIONTS FOR ANSWERING 2 Q'S, I WILL PICK BRIANLISET
my equation for Q 7: C=2.7m+1.95
8. For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
9. Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
Answer:
8.m = ∞
9.[tex]m=\frac{20c-39}{54}[/tex]
Step-by-step explanation:
8.The equation is a vertical line, so the slope is ∞
so the answer for 8. is m = ∞
9.Switch sides:
2.7m + 1.95 = c
Multiply both sides by 100:
2.7m · 100 + 1.95 · 100 = c · 100
Refine:
270m + 195 = c · 100
Move 195 to the right side so it would be: 270m = c · 100 - 195
And now Divide both sides by 270
[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]
And now all that's left is to Simplify it
so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]
In the figure below, points D, B, E, F, and lie in plane X.
Points A and C do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
The blanks are filled as below
(b) G and E are distinct points that are collinear.(c) F, D, B, and G are distinct points that are coplanar.(d) Suppose line AD is drawn on the figure. Then AD and AC are distinct lines that intersect.What are collinear points?Collinear points are those that are situated along a single straight line.
Collinear points are those that are on a line either close to or far from another point, it can be more than two points.
While coplanar points imply lying on the same plane
In the diagram,
E, F, and G are collinear points
D, B, E, F, and G are coplanar points
A, B, and C are another collinear points
Learn more about collinear points at:
https://brainly.com/question/2234342
#SPJ1
2. You flip a coin that has a heads side and a tails side.
a. What are the odds that the coin will land on heads the first time you flip it?
b. You have flipped the coin 50 coins. You have landed on heads 31 times and tails 19 times. What are the odds that the coin will land on tails on the next flip?
Answer:
a. 1/2 or 50% b. 1/2 or 50%
Step-by-step explanation:
a. 1/2 of 50%
Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.
b. Stil 1/2 or 50%
The coin flips are not dependent, and they have 2 outcomes and 1 tails.
Stil 1/2
Line d passes through points (6, 9) and (2, 4). Line e passes through points (5, 3) and
(10, 7). Are line d and line e parallel or perpendicular?
PLEASE HELP ASAP, WILL GIVE 10 POINTS, BRAINELST, 5 STAR, AND RATING!
Answer:
Neither
Step-by-step explanation:
Line d:
m = 4-9/2-6 = -5/-4 = 5/4
Line e:
m = 7-3/10-5 = 4/5
It would be neither because if it was perpendicular, one of the slopes' would have to be negative.
If the length of an rectangle is '' x-4 '' and the width is '' 3x-3 '' What would be the expression to represent the perimeter.
The expression that represents the perimeter of the rectangle is 8x - 14
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.
Length of rectangle(L) = x - 4
Width of rectangle(W) = 3x - 3
Perimeter of rectangle = 2(L + W)
L = x - 4, W = 3x - 3
Perimeter of rectangle = 2( x - 4 + 3x - 3)
Perimeter of rectangle = 2( 4x - 7) which is 8x - 14
In conclusion 8x - 14 is the expression for the perimeter of the rectangle
Learn more about perimeter of rectangles: https://brainly.com/question/24571594
#SPJ1
¿What is the answer the EG ?
Ques) What is the symbol (∑)?
This symbol is used to denote the sum of multiple numbers.
This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.
In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean
Mean = ∑ x/n
To know more about ∑ check here:
https://brainly.com/question/28163163
Gianna can wash 6 cars in 2 hours. At this rate, how many cars can Gianna wash in 5 hours?
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
What is unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given question:
Gianna can wash 6 cars in 2 hours
Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.
Gianna's rate of washing cars is 3 cars per hour
Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
To know more about unitary method visit
https://brainly.com/question/23423168
#SPJ1
The Algebra 3-4 PLC had to write new unit tests for the
district. Mr. Bihn took eight hours to write one new test.
Mrs. Inscoe took five hours to write one new test. How
long would it have taken them had they worked
together?
They both Bihn and Inscoe can do same work in 3(1/13) hours.
How to solve work time problems?
Time and work problems is very easy to solve.First take the LCM of given days.It gives the total part of work.Next calculate efficiency of given persons by using the formula.Efficiency = (work)/(time)
Bihn can write one test = Eight hours
Bihn's one hour work = 1/8
Inscoe can write one test = Five hours
Inscoe's one hour work = 1/5
Bihn and Inscoe 's one hour work = 1/8 + 1/5
= (5 + 8)/40
= 13/40
Both Bihn and Inscoe can do same work in 40/13
= 3(1/13) [13 * 3 + 1]
Hence, they both Bihn and Inscoe can do same work in 3(1/13) hours.
To know more about work check the below link:
https://brainly.com/question/13086625
#SPJ1
Convert 460000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
460000 milligrams converted to pounds would be 1.01 pounds.
Step-by-step explanation:
Can anybody help me with this?
The Height of trees are equal after 4 years and the height is 54 inches.
What is linear equation?A linear equation is a equation which draws straight line on the plot
when plotted.
Given,
Height of tree A at the time of planting = 38 inches
Height of tree B at the time of planting = 22 inches
Each year tree A grow = 4 inches
Each year tree B grow = 8 inches
Let's make an equation for the height of the trees,
H = 38 +4t
H = 22+8t
Now the time when height of both the trees will equal
38 + 4t = 22 + 8t
4t = 16
t = 4
Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.
Learn more about linear equation:
https://brainly.com/question/13738061
#SPJ1
A cylindrical rod of steel (e = 207 gpa) having a yield strength of 310 mpa is to be subjected to a load of 11,100 n. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0. 38 mm?.
the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm
Given the data in the question;
F = 11100 N
l₀ = 310 mm = 0.31 m
E = 207 GPa = 207 × 10⁹ N/m²
Δl = 0.38 mm = 0.0005 m
So, lets assume the deformation is elastic;
d₀ = √( [4l₀F] / [πEΔl] )
we substitute
d₀ = √( [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )
d₀ = √( 10123.2 / 172787595.947 )
d₀ = √( 5.85875 × 10⁻⁵ )
d₀ = 0.007654 m
d₀ = ( 0.007654 × 1000 )mm
d₀ = 7.65 mm
Therefore, required diameter is 7.65 mm
learn more about of diameter here
https://brainly.com/question/23848936
#SPJ4