2 and 1/3 + 1.5x = 12.3. What is x?
Answers
Here is what I got (Red represents my work, blue represents to follow which steps and highlighter represents what the answer is):
Related Questions
A 50-foot ladder leans against a wall, as shown in the figure below. If the base of the ladder is 30 feet away from the wall, how tall is the wall?
Select one:
A. 3
B. 4
C. 5
D. 40
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Visiting team: 20% of supporting visiting team
Home team: 80% of supporting home team
If the total number of people attending the game was 64,000, how many people were supporters of the home team?
A.)12,800
B.)38,400
C.)48,000
D.)51,200
Answers
Answer: D.)51,200
Step-by-step explanation:
Hi, to answer this question we have to multiply the number of attendants (64,000) by the percentage amount of supporting home team (80/100)
64,000 x (80/100) = 51,200
51,200 people were supporters of the home team.
The correct option is D).
Feel free to ask for more if needed or if you did not understand something.
Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
From the question know that [tex]a=1[/tex] and [tex]b=-12[/tex], so lets replace those values in our vertex formula to find the x-coordinate of our vertex:
[tex]h= \frac{-(-12)}{2(1)} [/tex]
[tex]h= \frac{12}{2} [/tex]
[tex]h=6[/tex]
Now lets replace that value into our original function to find the y-coordinate of our vertex:
[tex]f(6)=6^{2} -12(6)+27[/tex]
[tex]f(6)=36-72+27[/tex]
[tex]f(6)=-9[/tex]
Finally, we have our vertex (6,-9)
Now to graph our function we are going to take advantage of its line of symmetry; if the vertex is (6,-9) the line of symmetry of the parabola is x=6, so if we chose the point (6,0), our second point will have coordinates (3,0) as you can see in the picture.
The vertex of a parabola is the minimum or the maximum point of the parabola
The equation of the parabola is given as:
[tex]f(x) = x^2 + 12x + 27[/tex]The x-coordinate of the vertex is calculated using:
[tex]x = -\frac{b}{2a}[/tex]
So, we have:
[tex]x = -\frac{12}{2 \times 1}[/tex]
[tex]x = -\frac{12}{2}[/tex]
[tex]x = -6[/tex]
Substitute -6 for x in f(x)
[tex]f(-6) = (-6)^2 + 12(-6) + 27[/tex]
[tex]f(-6) =-9[/tex]
So, the vertex of the parabola is (-6,-9)
Let x = 0.
So, we calculate f(0) as follows:
[tex]f(0) = (0)^2 + 12(0) + 27[/tex]
[tex]f(0) = 27[/tex]
This means that f(x) passes through (0,27)
See attachment of the parabola
Read more about parabolas at:
https://brainly.com/question/4148030
This semicircle has a diameter of 5 meters.
What is the area of this figure?
Use 3.14 to for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.
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[tex]A_sc = \frac{1}{2} \pi r^2 [/tex]
r is the radius, and we are given the diameter. Radius is half the diameter, so it's 2.5m. Let's plug that into the formula (using 3.14 as an estimation for pi):
[tex]A_t = \frac{1}{2}(3.14)(2.5)^2 = 9.81m^2 [/tex]
So, the area of this semicircle is 9.81m².
What is 136 sq km divided by 8 km?
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Answer:
[tex]136 \: {km}^{2} \div 8 \: km = 17 \: km[/tex]
Work the following pricing problems for services rendered. (For all calculations use hundredths.) Labor time = 6 1/2 hours Overhead rate = 55% Retail price of parts = $114.70 Total cost of job = $231.08 What is hourly rate for labor? 11.55 27.75 32.55 137.64
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Labor time= 6 1/2 = 6.5 hours
Overhead=55%
Retail price of parts=$114.70
Find the total cost of labor.
Total cost of labor= 231.08 - 114.70=$116.38
Now labor rate per hour ( with overhead)= 116.38 /6.5 =$17.90 per hour.
Now labor rate (without overhead) = 17.90/(1+55%) = 17.90/1.55 =$11.55
Answer: $11.55
Answer:
11.55
Step-by-step explanation:
if an office is 120 sq ft what is the measurement in square meters
Answers
Answer:
We have to convert the measurement in square meters. Therefore 120 sq. feet = 120×0.093 = 11.148 sq. meters.
The bottom shape is a square prism with base edges of 3 cm and a height of 10 cm. What is the volume of the composite figure if the top shape is a right pyramid with a height of 2 cm?
90 cm3
60 cm3
6 cm3
96 cm3
please i really need help on this
Answers
To answer this, start by finding the volume of the square prism. The formula is L x W x H, therefore the volume is 3 x 3 x 10 = 90.
Then, find the volume of the pyramid on the top. Use the same formula but divide it by 3 because it is a pyramid. 3 x 3 x 2 / 3 = 6
Add 90 and 6 to get 96.
What is probability of rolling a prime number cube with sides labeled 1-6
Answers
Final answer:
The probability of rolling a prime number on a six-sided die is 1/2 or 50%, since there are three prime numbers (2, 3, 5) out of six possible outcomes.
Explanation:
The probability of rolling a prime number on a six-sided cube labeled with the numbers 1 through 6 can be determined by identifying which numbers on the cube are prime. Prime numbers are numbers that are only divisible by 1 and themselves. On a six-sided die, the prime numbers are 2, 3, and 5.
Since there are 6 faces on the die, the total number of possible outcomes when you roll it once is 6. The event of rolling a prime number includes three outcomes: rolling a 2, rolling a 3, or rolling a 5. So, the probability, P, of rolling a prime number is determined by dividing the number of favorable outcomes (rolling a 2, 3, or 5) by the total number of possible outcomes.
The calculation for the probability is therefore P(Prime) = Number of prime faces / Total number of faces = 3/6. This simplifies to 1/2, which means that the probability of rolling a prime number is 1/2, or 50%.
We can conclude that if you roll the die only a few times, the law of large numbers may not hold, and the experimental probability may not closely align with the theoretical probability of 1/2, but over many rolls, it would generally converge to this value.
A triangle and a rectangle are drawn. The triangle's base is equal to the rectangle's length. The triangle's height is equal to the rectangle's width. Which sentence is true?
A.)exactly 1 of these rectangle's can fit inside this triangle.
B.)2 of these rectangles can fit inside this triangle
C.)exactly 1 of these triangle's can fit inside this rectangle
D.)2 of these triangles can fit inside this rectangle
Answers
Exactly 1 of these triangles can fit inside this rectangle.
Explanation:The sentence that is true is exactly 1 of these triangles can fit inside this rectangle. To understand why, let's analyze the dimensions of the triangle and the rectangle. Suppose the base of the triangle is 4 units and the height is 3 units. If the length of the rectangle is also 4 units and the width is 3 units, the triangle will perfectly fit inside the rectangle. However, if the length or width of the rectangle is different from the corresponding dimensions of the triangle, it will not be possible to fit the triangle inside the rectangle without overlapping.
Learn more about Geometry here:https://brainly.com/question/31408211
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Renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the mp3 player is 4 centimeters, and the width is 7 centimeters. what is the scale factor?
Answers
Explanation:
The scale factor is the ratio between the scale drawing measures and the actual measures.
scale drawing length 8 inches
scale factor = ratio = -------------------------------- = --------------- = 2
actual length 4 inches
Also,
scale drawing width 14 inches
scale factor = ratio = ----------------------------- = --------------- = 2
actual width 7 inces
As seen the scale factor is 2.
The scale factor is 1:2 or 1/2.
To determine the scale factor between the actual dimensions and the scale drawing, divide the actual length and width by the corresponding values in the scale drawing dimensions. In this case, the scale factor is 1:2 or 1/2.
To find the scale factor:
Calculate the ratio of the actual length to the scale length: 4 cm / 8 in = 0.5Calculate the ratio of the actual width to the scale width: 7 cm / 14 in = 0.5Since both ratios are the same, the scale factor is 1:2 or 1/2.Ramona is asked to draw a tree using a scale of 1 inch:3 meters.She draws a 4-inch tree.How tall is the tree?
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Addison brought 5 pounds of oranges and 7 pounds of cherries to make a fruit salad for a fund raiser. She wants to package an equal amount of fruit salad into each of 10 containers.
How much fruit salad should Addison put in each counter?
Addison should put
(________)
pounds of fruit salad into each container.
Answers
Addison should put 1.2 pounds of fruit salad into each of the 10 containers for the fundraiser.
To find out how much fruit salad Addison should put in each container, we need to first calculate the total weight of the fruit she brought, which is 5 pounds of oranges plus 7 pounds of cherries, equaling 12 pounds of fruit in total.
Then, to distribute this equally among 10 containers, we divide the total weight of the fruit by the number of containers:
[tex]\[ \frac{12 \text{ pounds}}{10 \text{ containers}} \]\[ = 1.2 \text{ pounds per container} \][/tex]
So, Addison should put 1.2 pounds of fruit salad into each container.
If you know it please tell me it would help a lot
Answers
Divide both sides by 7.
[tex] n \le 3 [/tex]
n must be less than or equal to 3. n can be 3 or any number under 3.
For example, n can be 1, 2, 3.
The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model? 18 inches 180 inches 1,125 inches 425 inches
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[tex] \frac{450}{x} [/tex] = [tex] \frac{25}{10} [/tex]
Notice the feet (450 and 25) are lined up next to each other, and the inches (x and 10) are lined up as well. Next, we solve by cross multiplying and dividing. 450 times 10 gives us 4500. Then, we divide by the remaining number,25. 4500/25 equals 180. So, Ella's model is 180 inches tall.
5g of margarine contains 3.6g of fat.
How many grams of fat are there in 92g of Margarine?
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Find the unit rate.
3.6/5= 0.72
Multiply that by 92.
0.72*92= 66.24
There are 66.24 grams of fat in 92g of Margarine.
I hope this helps!
~kaikers
We can use the concept of ratios
5g of margarine : 3.6g fats
92g of margarine : ?
We can cross multiply, which is an easier solution
Let us use the variable p to represent the grams of fats to be found
5 x p = 3.6 x 92
5p = 331.2
We, now, can divide by 5 on either sides so we can isolate and find the value of p
[tex] \frac{5p}{5} = \frac{331.2}{5} [/tex]
5 and 5 cancels out
p = 66.24
So, 92g of margarine will contain 66.24g of fats
the length of bill's backyard swimming pool is 60 ft longer than the width if the pool. The surface area of the water is 1600 square ft. What is the width of the pool?
Answers
Surface Area of water = A = 1600[tex]ft^{2}[/tex]
Length of the swimming pool = L = 60[tex]ft[/tex] + W
Width of the swimming pool = W =?
Since,
Area = Length * Width
A = L * W
Therefore,
1600 = (60 + W) * W
1600 = 60W + W*W
=> [tex]W^{2} + 60W - 1600 = 0[/tex]
In the above equation(in terms of quadratic formula),
a = 1
b = 60
c = -1600
x = W
Use,
x(for positive) = [tex]x =\frac{ -b + \sqrt{ b^{2} - 4*a*c } }{2*a} [/tex]
Plug-in the values you would get:
x = (-60 + 100) / 2
x = 20 --- (1)
x(for negative) = [tex]x =\frac{ -b - \sqrt{ b^{2} - 4*a*c } }{2*a} [/tex]
Plug-in the values you would get:
x = (-60 - 100) / 2
x = -80 --- (2)
Since x = W = Width, and width CANNOT be negative, therefore, the correct answer is (1):
Ans: Width = 20ft
To find the width of Bill's rectangular pool, set up an equation with 'x' as the width, resulting in x(x + 60) = 1600. Solving this quadratic equation, the width of the pool is found to be 20 feet.
The question asks us to determine the width of Bill's backyard swimming pool given that the pool's length is 60 feet longer than its width and the surface area of the water is 1600 square feet. To solve this, we can set up an equation where the width of the pool is x feet and the length is x + 60 feet. Because surface area is found by multiplying the length by the width for a rectangular object, our equation is x(x + 60) = 1600.
Now, solve for x:
x^2 + 60x = 1600x^2 + 60x - 1600 = 0We can solve this quadratic equation by factoring or using the quadratic formula. In this case, the equation factors nicely:
(x + 80)(x - 20) = 0Setting each factor equal to zero gives us:
x + 80 = 0 or x - 20 = 0x = -80 or x = 20Since a negative width doesn't make sense for a physical object, we discard x = -80 and the width of the pool is 20 feet.
A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.
What is the difference in volume between the prism and the storage container?
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!
Answers
length x width x height. So for the prism you multiply 3 1/2 x 3 1/2 x 7. Which gives you the answer of 85.75, or rounded it’ll give you 86.
Now to find the difference you subtract the volume of the prism from the container which will give you your final answer
From your Brainly Friend Below :D
followed your directions @ninc and I got this, but I don't think it's right
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3.14 x 1.5^2 x 10 = 70.64
volume of the triangle base:
1/2 x l x h x w
1/2 x 11.2 x 12.5 x 2 = 140
total volume = 140 + 70.64 = 210.64 cubic inches
If the multiplication expression below were written in exponential form, what would be the exponent be? 24*24*24*24*24
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Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities, where x represents the number of spoonfuls of brand A that Steve takes and y represents the number of spoonfuls of brand B that Steve takes? Select all the correct answers.
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we have that
x----------------> represents the number of spoonfuls of brand A
y----------------> represents the number of spoonfuls of brand B
Brand A---------------- > Calcium. Iron Vitamins ------ > 5 4 7 milligrams
Brand B---------------- > Calcium. Iron Vitamins ------ > 4 6 4 milligrams
Steve needs to take at least
Calcium milligrams >=24
Iron milligrams >=15
Vitamins milligrams >=16
I proceed to calculate the system inequalities
for Calcium
5x+4y>=24
for iron
4x+6y>=15
for Vitamins
7x+4y>=16
using a graph tool to solve the system of inequalities
see the attached figure
the answer is the point (1,5) and the point (4,1) are solution
Volume of Composite Shapes, i need help again
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V=(3)(2²)(8)
V=96
V=(πr²h)/3
V=(3)(2²)(3)/3
V=12
V=96+12
V=108
Work out the area of a triangle of base 7.5m and height 6cm
Answers
To start, the formula to calculate the area of a triangle is:
A=[tex] \frac{B*H}{2} [/tex]
B is the value of the base and H is the value of the height.
Knowing this formula, you can solve for the values of the area of the triangle by plugging the value of your base and height into the formula and solve for A, the area.
A=[tex] \frac{7.5*6}{2} [/tex]
Now, simplify this equation:
A=[tex] \frac{7.5*6}{2} [/tex]
A=[tex] \frac{45}{2} [/tex]
A=45÷2
A=22.5
Therefore, the area of your triangle would be 22.5 meters squared.
Hope this helps and have a marvelous day! :)
Please show the work thank you
Answers
.. P₂ = P₁V₁/V₂ . . . . . . . selection C
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π .
Enter your answer as a decimal in the box.
__ cm
Answers
2+20+2+(20-11)+[(11*2*3,14)/4]+11= 61,27
if This figure consists of a rectangle and a quarter circle, we have to consider the amount of :
the perimeter of rectangle - the dashed part, in which the quarter circle is inserted (2+20+2+20-11)
+ the quarter circle = perimeter of circle / 4 = 2r π/4 (2*11*3,14)/4
+ the circles radius = 11
Answer:
61.27
Step-by-step explanation:
In a study, researchers found that for every 3 people who preferred brand A toothpaste 1 person preferred brand B toothpaste. Which ratio describes the results of the study?
A. 1:3
B. 1:4
C. 3:1
D. 4:1
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C. 3:1
Because it’s three to one
What is the solution set?
1/2x−6.5>12
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
your answer is x>37
Cameron has clear container in the shape of a cube.Each egde 9 centimeters long.He found the volume of the container in cubic centimeters by multiplying the egde length by itself 3 times.What is the volume of the container in the cubic
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Find the balance in the account after the given period.
$4,200 deposit earning 4.2% compounded monthly, after 2 years. Use the direction in the pic plz.
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[tex]A=4200(1+ \frac{0.042}{12})^1^2^*^2 \\ = 4200(1+0.0035)^2^4 \\ = 4200(1.0035)^2^4 \\ = 4567.37[/tex]
What’s the surface area of this tent? Show all work and write your answer below.
Answers
There are 2 of them so area = 2*24 = 48.square feet.
There is 1 floor which has an area of 4*6 = 24 square feet
The area of one of hte triangles is 1/2 4 *3.46 = 6.92
Again, there are 2 of them so the total area for the triangles is 13.84
The total area is 48 + 24 + 13.84 = 85.84 square feet.