Answer:
Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]
Step-by-step explanation:
We have,
A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].
It is required to find the area of the rectangle
The product of length and breadth of a rectangle is called its area. It can be calculated as :
[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]
So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].
At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Know a are:
CW=75. SL= 250. Y= 2x
CW= X= number of wings
SL= Y= number of sliders
X+Y= Total number of items, which can be rewritten as X+2X= total
Plug in the calories for the total
2(75X) +250X= 800
150x+250X= 400X= 800
X= 800/400=2 pieces of Slider
Double the amount for Wings=2x2=4
4wings/2 Sliders
The equations that could be used to determine the number of chicken wings and sliders in the combination meal is:
75w + 250s = 800
w = 2s
Where:
w = chicken wings
s = sliders
The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.
The total calories of wings = number of wings x calories of each wing
75 x w = 75w
The total calories of sliders = number of sliders x calories of each sliders
250 x s = 250s
To learn more about simultaneous equations, please check: brainly.com/question/23589883
i need these two questions
Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her grandmother then gave her $20. In all,she has $53.
Answer:
She earns 5.5 dollars per hour at the library
Step-by-step explanation:
I am going to assume that the questions is "how much she earns per hour at the library?"
Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.
Later her grandma gave her 20 dollars and she has now 53 dollars.
Let's write the equation and solve it
Amount earned + Amount given by her grandma = 53
[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]
Thus, based on this information we would have that Kia earns 5.5 dollars per hour.
what is the degree of the monomial? 5n3
Answer:
the 3rd degree
Step-by-step explanation:
its to the 3rd power
i think
Lauren is sewing a quilt using fabric squares.
The length of a side of a fabric square is represented by the expression x + 4.
Which expression represents the area of a fabric square?
4x + 6
2x + 8
x + 4
x2 + 8x + 16
Answer:
x^2 + 8x + 16
Step-by-step explanation:
Given length of square x + 4.
Area of square with side S is given by [tex]S^2[/tex].
Therefore are of square with side x + 4 is given by [tex](x + 4)^2[/tex]
Area of square = [tex](x + 4)^2\\=>(x + 4)*(x + 4)\\=> x(x + 4) + 4(x + 4)\\=> x^2 + 4x + 4x + 4*4\\=> x^2 + 8x + 16[/tex]
Thus, x2 + 8x + 16 expression represents the area of a fabric square.
Correct answers only!
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $44.10
Step-by-step explanation:
We are given our p, r, t in the problem.
p=40 (starting amount)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into our equation.
B=p(1+r)^t
B=40(1+0.05)^2
B=44.1
How do I calculate this parent function of a linear function? The parent function of a linear function is y=x. When the parent function is changed to y=x+5, how does the graph transform?
Step-by-step explanation:
This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.
hope this helps :)
Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.
Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
Learn more here: https://brainly.com/question/14107099
How do I Graph y=-2x+5
Answer:
Slope-Intercept Form y = mx + b
Y = 5
Slope = -2/1
Step-by-step explanation:
Slope-Intercept Form y = mx + b
m = Slope; Rise over Run; Remember there is always an understood 1 in the denominator. If the slope is positive it goes up and to the right and if the slope is negative it goes down and to the right.
b = Y-intercept; This is where the line crosses the y-axis at. If it's positive it's above the x-axis and if negative below.
The amount of money that Li spends on video games depends on how
many games he purchases. If Li has at most $90 to spend on games for his
Xbox 360 and the games cost $22.50 each, what is the domain of this
function?
Answer:
x < 4
Step-by-step explanation:
The function is represented by this equation:
22.5x = y
Where x is the number of games he buys and y is the amount of money that he spends. We know that y cannot be greater than 90, because Li only has 90 dollars. So, if y is less than 90, 22.5x must be less than 90 as well.
22.5x < 90
x < 90/22.5
x < 4
john wants to buy a new phone for 1200. the sales tax is 8.875%. what is the total price?
Answer:
$1306.50
Step-by-step explanation:
1200(1 + tax) = total price -->
1200(1.08875) = total price -->
1306.5 = total price
Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?
Answer:
Step-by-step explanation:
Notice that the inputs {5, -8, -1, -5} are all different. So we can immediately conclude that this is a function.
If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.
Meagan knits 1/10 of q scarf in 3/4 of annhour.What fraction of a scaf can megan knit in 1 hour
Answer:
2/15
Step-by-step explanation:
To solve this problem we just need to use a rule of three, relating the fraction of the scarf knitted and the amount of time.
So we have that:
1/10 of the scarf -> 3/4 hour
x of the scarf -> 1 hour
x * (3/4) = 1/10
x = (1/10) / (3/4)
x = (1/10) * (4/3)
x = 4/30 = 2/15
In one hour, Meagan knit 2/15 of the scarf.
Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment
Answer:
Down payment is $258
Installment price is $1766.22
monthly payment is $83.79
Step-by-step explanation:
Down payment is 15% of $1,720 which is $258 (15%*$1720)
Monthly payment can be computed using pmt formula in excel
=pmt(rate,nper,-pv,fv)
rate is the interest rate per month which 4%/12=0.33%
nper is the number of months of payments that is 18
pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)
fv is the total finance amount plus interest which is unknown i.e 0
=pmt(0.33%,18,-1462,0)=$ 83.79
installment price =down payment +total repayment
=$258+($83.79*18)=$1766.22
Gavyn, David & Alex share some money in the ratio 5 : 3 : 4.
In total, Gavyn and Alex receive £99.
How much does David get?
Answer:396
Step-by-step explanation:
Use the order of operations to simplify 1 + 2(3 + 4.5) – 6.6.
Simplify the numbers inside the parentheses to get 1 + 2 (
) – 6.6.
Multiply from left to right to get 1 +
– 6.6
Multiply from left to right to then get 1 + 15 –
Add and subtract from left to right to get
Answer:
9.4 is your answer, i need to write more and i dont know why
Help asap! giving brainliest!
Answer: understand The problem
Gather reasources
check your answer to a solution
come to an answer
1 1/7 times 3/5 plz answer now
Answer:
24/35 or 0.6857142
Step-by-step explanation:
Answer:
[tex] \frac{24}{35} [/tex]
alternative form:
[tex] 0.685714286 [/tex]
Step-by-step explanation:
[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]
Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. 23 tomatoes had been ruined by bugs. He picked the rest. How many tomatoes did Haruto pick? The answer is tomatoes.
Find the area of the shape
(sorry if im asking too many questions)
Answer:
E. 54
Step-by-step explanation:
To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.
Answer:54 cm ^2
Step-by-step explanation:
9 times 6 is 54
Find the surface area.
Any help will be appreciated thank you!
Answer:
580 cm^2
Step-by-step explanation:
H = Height
L = length
W = width
2(HL)+2(WH)+2(WL)
= 2(20*10)+2(3*20)+2(3*10)
= 2(200)+2(60)+2(30)
= 400+120+60
= 580
Please help ASAP....
Answer:
7 is D and 8 is D
Step-by-step explanation:
I'm assuming you were asked for the volume of both of these.
7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.
8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.
help me fill this out thanks
Answer:
10
Step-by-step explanation:
We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.
Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.
Manipulating two of our equations, preferably the equations with the variables b and c, we can get [tex]\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex] and solving for c, which is p in this case, will give us [tex]c=\frac{bsin(C)}{sin(B)}[/tex]
Plugging in the numbers we have gives us [tex]c=\frac{5sin(90)}{sin(30)}[/tex] = 10 mi
Which of the following fractions is equivalent to 3/5 ?
A 1/2
B 3/8
C 6/20
D 9/15
Question 4 11 point)
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas?
Favorite Fruit
Bananas Apples
32%
35%
Cherries
33%
Os 32
Answer:
128
Step-by-step explanation:
128 is the right
peanut butter
I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
7/16 maybe
...............
Answer:
7/16
Step-by-step explanation:
the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry is 7/16
The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. Her data are shown in the scatter plot below. If these data are modeled by the line y = -5.9x + 850, which statement best describes a valid prediction the owner could make?
Picture of the question is attached below.
Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.
Step-by-step explanation:
The model depicted by the line equation:
y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.
-5.9x approximately -6x decrease for every 10F temperature increase.
The zero(s) of the function : f(x)=x² - 2x +3 are_____________ *
Answer:
x = 1 ± i√2
Step-by-step explanation:
hope i helped
What is the volume? Please answer asap.
Answer:
20
Step-by-step explanation:
Terry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250 -milliliter container of juice cost $ 1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain
Answer:
Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.
