Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10
feet.
Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular
wall?

Answer:
[tex]W \le 6[/tex]
Step-by-step explanation:
Given
[tex]Area = 60ft^2\ (max)[/tex]
[tex]Length = 10ft[/tex]
Required
Represent the width as an inequality
First, we represent the area as an inequality.
[tex]Area = 60ft^2\ (max)[/tex]
max as used above means less than or equal to.
So, we have:
[tex]Area \le 60[/tex]
The area of a rectangle is:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W \le 60[/tex]
Substitute 10 for L
[tex]10 * W \le 60[/tex]
Divide both sides by 10
[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]
[tex]W \le \frac{60}{10}[/tex]
[tex]W \le 6[/tex]
18 rice cakes weigh a total of 130 g. There are 329 calories in 100 g of rice cakes. How many calories are there in one rice cake?
Answer:
1 rice cake has 23.761 calories
Step-by-step explanation:
18 rice cakes weigh a total of 130 g.
There are 329 calories in 100 g of rice cakes.
Step 1
We calculate the number of calories is 18 rice cakes
18 rice cakes = 130g
Hence,
100g = 329 calories
130g = x
Cross Multiply
100g × x = 130g × 329 calories
x = 130g × 329 calories/100g
x = 427.7 calories
Therefore, 18 rice cakes had 427.7 calories
Step 2
How many calories are there in one rice cake?
18 rice cakes = 427.7 calories
1 rice cake = x
Cross Multiply
18 × x = 1 × 427.7
x = 427.7/18
x = 23.761111111 calories
Approximately = 23.761 calories
Therefore, 1 rice cake has 23.761 calories
The polynomials (3y^2+4) cm, (2y^2-5x) cm, and (6x+2) cm represents the three sides of a triangle. What is the perimeter of the triangle?
Answer:
[tex]5y^2 +6 + x\ cm[/tex]
Step-by-step explanation:
The computation of the perimeter of the triangle is shown below:
As we know that
The Perimeter of the triangle is
= one side + second side + third side
[tex]= 3y^2 + 4 + 2y^2 - 5x + 6x + 2\\\\= 5y^2 +6 + x\ cm[/tex]
Hence, the same is relevant
laurague here is your answer:)
(Will give brainliest :) pls tell me how to solve) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?
Answer:
3.08270264 hours
Step-by-step explanation:
The first thing you have to do is a graph where you signal the cardinal points (1st image)
Then draw the first line that the problem gives you (N64°W). At the end of this line, you will draw the following line (S23°W) drawing another little graph as a guide. Finally, you will draw the last line, as long as a triangle is made (2nd image)
If you pay attention to the first line you made, you will notice that you can make a right triangle with angles of 90°, 64°, and 26° (3rd image)
So, returning to the other big triangle, you are going to add the 23° of the main orientation with the 26° that you just obtained from the first triangle (4th image)
Now you have a large triangle with one side that is worth 4, another that is worth 2, and an angle between them that is worth 49° (5th image)
From now on it's easier.
We know that if we have an angle between two know sides we can use Law of cosines (a²=b²+c²-2bcCosA)
So a² = 2² + 4² - 2(2*4)Cos49
a² = 4 + 16 - 2(8)Cos49
a² = 20 - 16Cos49
Cos49 = 0.65605902899
16 * 0.65605902899 = 10.4969444638
20 - 10.4969444638 = 9.50305554
a² = 9.50305554
a = [tex]\sqrt{9.50305554}[/tex] = 3.08270264
Hope I helped you and sorry for the bad quality of the photos
Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.
10
Makethe7worth_1 asmuch. 10
Make the 6 worth 10 times as much. Write the new number.
Answer:
Step-by-step explanation:
your mom
Is 4 a solution of 7 < 5x – 16
Answer:
no
Step-by-step explanation:
7 < 5*4 - 16
7 < 20-16
7 <4
Answer:
[tex] x > \frac{23}{5} [/tex]
Step-by-step explanation:
[tex]7 < 5x - 16 \\ - 5x < - 16 - 7 \\ - 5x < - 23 \\ [/tex]
[tex] \boxed{Answer:{\boxed{\green{= x > \frac{23}{5}}}}} [/tex]
Find an equation for the nth term of the arithmetic sequence.
-20, -16, -12, -8, ...
Answer:
-4
Step-by-step explanation:
that is the nth termmmmm
A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic
m, to the nearest tenths place?
Answer:
5656 m^3
Step-by-step explanation:
Volume of a cylinder can be calculated using below formula
V = πr²h
Where
h= height =18m
r= radius= radius = 10m
If we substitute the values we have
V = π × (10)²× 18
= 5655.6 m^3
= 5656 m^3
Answer: 5654.9
Step-by-step explanation:
Hola me podrían ayudar por favor Convertir las fracciones a números decimales y colocar los decimales en la recta numérica: a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 h. -7/4
Answer:
a. 2/3 = 0.67
b. 8/5 = 1.6
c. -5/2 = -2.5
d. 7/4 = 1.75
e. 9/2 = 4.5
f. -11/3 = -3.67
g. 13/5 = 2.6
h. -7/4 = -1.75
Step-by-step explanation:
Convirtiendo las fracciones dadas a decimales, tenemos:
a. 2/3 = 0.67
b. 8/5 = 1.6
c. -5/2 = -2.5
d. 7/4 = 1.75
e. 9/2 = 4.5
f. -11/3 = -3.67
g. 13/5 = 2.6
h. -7/4 = -1.75
Simplify:
4x + 3 + (– 3x) + 7x – 6x
Answer:
2x+3
Step-by-step explanation:
How does collecting like terms in an expression differ from collecting like terms in
an equation/inequality? Explain.
Answer:
I think its different from each other because maybe combining like terms in a inequality your trying to compare them? Or maybe they're just advanced. Can someone give me an example of an inequality please so I can try finding out the difference?
A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?
Answer:
J The relation represents y as a function of x, because each value of x is associated with a single value of y.
Step-by-step explanation:
I'm sure of this
Answer:
H
Step-by-step explanation:
i think so i’m not one hundred percent sure though ! Tell me if i’m wrong
What is the sine of angle C?
Answer:
4/5 or 53°
Step-by-step explanation:
soh
cah
toa
you want soh
sine=opposite/hyp
therefore sine of C is 4/5
to find the degrees you have to something a lil different.
sin^-1 (theta)= 4/5
sin^-1(4/5)=theta
53°=theta
Which system of equations has no solutions? (Systems of Linear Equations - Quiz I-ready)
Answer:c parallel lines
Step-by-step explanation:
For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?
Answer:
Step-by-step explanation:
120+80=200 the total number of tickets
120(student tickets) ÷ 200 (total tickets)= .6 =60%
Answer:
bin
Step-by-step explanation:
bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt
The average daytime temperature on Venus is 870°F. The average temperature on Jupiter is -160°F. What is the difference between the average temperatures on Venus and Jupiter?
Answer:
Step-by-step explanation:
Okay, outside of the Sun, the hottest place in the Solar System is the core of Jupiter. Once again, while the cloud tops of Jupiter are more than 100 degrees below zero, the core of the planet could be up to 30,000 Kelvin. ... In fact, Venus is even hotter than the planet Mercury when it's in the Sun
Write the function in vertex form.
y=x2 – 9x - 7
Tyler bought two pieces of pizza and three diet Pepsi for $7.25 Scotty but for pizzas a pizza and diet Pepsi for $8.25 set up a system of equations to determine how much a slice of pizza cost and how much a diet Pepsi cost
Answer:
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
Step-by-step explanation:
Let us represent:
The cost of
1 slice of pizza = x
1 diet pepsi = y
Tyler bought two pieces of pizza and three diet Pepsi for $7.25
2x + 3y = 7.25.......Equation 1
Scotty but four pizzas and a diet Pepsi for $8.25
4x + y = 8.25......Equation 2
Combining the Equations
2x + 3y = 7.25.......Equation 1
4x + y = 8.25......Equation 2
y = 8.25 - 4x
We substitute 8.25 - 4x for y in Equation 1
2x + 3(8.25 - 4x) = 7.25
2x + 24.75 - 12x = 7.25
Collect like terms
24.75 - 7.25 = 12x - 2x
17.5 = 10x
x = 17.5/10
x = $1.75
Solving for y
y = 8.25 - 4x
y = 8.25 - 4(1.75)
y = 8.25 - 7
y = $1.25
Therefore,
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
please help me asap!!!!!!
Answer:
z-12
Step-by-step explanation:
you start of by z baseball and i know for a fact that fewer means subtraction so the answer is z-12
?
Expand & simplify
(x + 3)(x – 8)
Estimate sun and round to the nearest hundred 534+271
Answer:
805.00
Step-by-step explanation:
The answer is 805.00 for sure
Answer:
800
Step-by-step explanation:
534 + 271 = 805
805 rounded to the nearest hundred is 800. Remember that when numbers between 750 and 849 are rounded to the nearest hundred it is always 800.
plss help (ZOOM IN TO SEE FULL PIC)
Answer:
20
Step-by-step explanation:
root 144+ 256= 400 root 400 =20(Pyto Th.)
so 20
if my answer helps please mark as brainliest.
Answer:
20
Using the formula of Pythagoras theorum 20 is the answer.
select all equations where b=11 is a soultion
Answer:
so where is the equations
plxx help
it cost $ blank for blank popsicles
Answer: if it’s asking for you to continue the sequence, try $10 for 30
Step-by-step explanation:
Multiplies of 6
Find f(-2) this is due in 10mins help please
-2f
Step-by-step explanation:
move the -2 to the left of the f
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
Learn more about interest rate here: https://brainly.com/question/24656271
OMG SOMEONE HELP ME
Solving inequalities.
4x + 7 > 23
Answer:
x > 4
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
RX) = x
g(x) = ?
9(x) =
Answer:
A
Step-by-step explanation:
it is A
The function of g(x) is g(x)=(x+2)². Therefore, option B is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given function is f(x)=x².
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
From the graph, we can see vertex of f(x) is (0, 0) and vertex of g(x) is (2, 0).
The graph of g(x) is shifted 2 units to right.
Thus, g(x)=(x+2)²
Therefore, option B is the correct answer.
To learn more about the quadratic function visit:
https://brainly.com/question/27918223.
#SPJ7
Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?
Answer:
3mph
Step-by-step explanation:
his speed per hour will be 3 miles per hour