Answer:
The volume of the Prism=[tex]629.2cm^3[/tex]
Step-by-step explanation:
A right rectangle prism shape is that in which the faces of the prism are in the shape of a rectangle making it a cuboid.
Volume of a right rectangle prism= [tex]length*width*Height[/tex]
Given: length=12.1 cm
width=8 cm
Height= 6.5 cm
Putting the given values in the formula
Volume of the right rectangular prism:
[tex]=12.1cm*8cm*6.5cm\\\\=629.2cm^3[/tex]
The volume of the Prism=[tex]629.2cm^3[/tex]
Help math fractions
3 2/3 - 1 11/12=
Answer:
i wrote this as a decimal so um i hope this at least helps :). 1.75
Step-by-step explanation:
What is the slope of the line that passes through the points -10,9 and -12,7
Answer:
slope 1
Step-by-step explanation:
change in y over cahnge in x
The slope of the line that passes through the points -10,9 and -12,7 is 1.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.
Given that the line passes through the points -10,9 and -12,7. The slope of the line will be calculated as,
The slope of the line is calculated by the formula given below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 7 - 9 ) / ( -12 + 10)
Slope = ( -2 / -2 )
Slope = 1
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find the values of x and y. write your answers in simplest form.
I know x=9√3 and y=18 but I don't know why pls pls help ASAP
Step-by-step explanation:
Given triangle is 30°, 60° & 90° angled triangle.
We know that in 30°, 60° & 90° angled triangle. Side opposite to 30° is half of hypotenuse and side opposite to 60° is root 3 upon 2 times of hypotenuse.
[tex] \therefore \: 9 = \frac{1}{2} \times y \:\:\:(side \: opposite \: to \: 30 \degree)\\ \\ \therefore \: 9 \times 2 = y \\ \\ \therefore \:y = 18 \: units \\ \\ next \\ \\ x = \frac{ \sqrt 3}{2} \times y \:\:\: (side \: opposite \: to \: 60 \degree)\\ \\ \therefore \: x = \frac{ \sqrt 3}{2} \times 18 \\ \\\therefore \: x = \sqrt 3 \times 9 \\ \\ \therefore \: x = 9 \sqrt 3 \: units[/tex]
Find the value of the expression: 2xy+2x^2 for x=−2.5 and y=−7.5
Answer:
Expression = 25
Step-by-step explanation:
2xy+2x^2 = ?
2(-2.5)(-7.5)+2(-2.5)^2 = ?
37.5 + (-12.5) = ?
= 25
Final answer:
The value of the expression 2xy + 2x² for x=-2.5 and y=-7.5 is 50.
Explanation:
To find the value of the expression 2xy + 2x² for x=-2.5 and y=-7.5, we substitute these values into the expression:
2(-2.5)(-7.5) + 2(-2.5)²
Simplifying this expression, we get:
(7.5) + 2(6.25)
= 37.5 + 12.5
= 50
Therefore, the value of the expression 2xy + 2x² for x=-2.5 and y=-7.5 is 50.
The garden outside Ms.Mertz's class needs 5 liters of water a week. Jacob poured 326 millimeters of water on the garden on Monday. SEAN poured 1.5 liters of water on Tuesday. Gavin poured 2,312 ml of water on Wednesday. Stephen poured 894ml of water on Thursday. Did they pour enough water in the garden? If not, how much more water is needed?
Answer:
Enough water has been poured .
Step-by-step explanation:
The garden needed water in a week = 5 liters
Jacob poured water on Monday = 326 ml = ( 326/ 1000) liters = 0.326 liters.
SEAN poured water on Tuesday = 1.5 liters
Gavin poured water on Wednesday = 2312 ml = ( 2312/ 1000) = 2.312 liters.
Stephen poured water on Thursday = 894 ml = ( 894/ 1000) = 0.894 liters
The total amount of water poured by all these people = 0.326 + 1.5 +2.312 +0. 894 = 5.032 liters
Here we can see that water has been poured is more than the water required in a week.
After converting all the water measurements to milliliters and summing them up, the garden received 5.032 liters of water over four days, which is slightly above the required 5 liters per week. Thus, the garden received enough water.
Explanation:The question asks if the garden outside Ms. Mertz's class received enough water over a week. To determine this, we need to add up the amounts of water poured each day and compare it to the required 5 liters per week.
Jacob poured 326 milliliters (ml) on Monday.SEAN poured 1.5 liters (l), which is 1500 ml, on Tuesday.Gavin poured 2,312 ml on Wednesday.Stephen poured 894 ml on Thursday.First, we convert all measurements to the same unit (milliliters). Then we sum up all the amounts:
326 ml (Monday) + 1500 ml (Tuesday) + 2312 ml (Wednesday) + 894 ml (Thursday) = 5032 ml
Since 1 liter = 1000 milliliters, we divide 5032 ml by 1000 to convert to liters:
5032 ml = 5.032 liters
The garden received 5.032 liters over the four days, which is just above the required 5 liters of water per week.
Therefore, the garden has received enough water for the week, with a small excess of 32 ml.
u get brainiest for the right answer
Answer:
C. 40%
Step-by-step explanation:
Since 2 of the 5 sections are shaded in, 2/5 of the circle is shaded in.
Simply divide 2 by 5 to get 0.4 and multiply by 100 to get 40%.
If the length of each side of a triangle is cut to 1/3 of its original size, what happens to the area of the triangle?
Answer:
The new area of the triangle is (1 / 9) th of the original area.
That is to say the original area of the triangle is decreased to (1/9) th of its value.
Step-by-step explanation:
The area of a triangle is given by, Area = 1/2 [tex]\times[/tex] base [tex]\times[/tex] height
If each side of a triangle is cut to 1/3 of its original size then the base will also become one third and the height will also become one third.
Therefore the new area will be given by = 1/2 [tex]\times[/tex] (1/3 [tex]\times[/tex] base) [tex]\times[/tex] (1/3 [tex]\times[/tex] height)
= 1/9 [tex]\times[/tex] 1/2 [tex]\times[/tex] base [tex]\times[/tex] height
= 1/9 [tex]\times[/tex] Area.
The new area of the triangle is 1 / 9 th of the original area.
When the sides of a triangle are reduced to 1/3 of their original size, the area of the triangle becomes 1/9 of its original area.
When the length of each side of a triangle is cut to 1/3 of its original size, the area of the triangle is affected by the square of the scale factor applied to the sides.
Let's use some mathematics to understand why this happens. The area of a triangle is given by the formula:
A = 1/2 * base * height, where 'base' represents the base of the triangle and 'height' represents the height of the triangle.
If each side of the triangle is reduced to 1/3 of its original size, both the base and the height will become 1/3 of their respective original sizes.
The new area (A') can be calculated as follows:
New base = 1/3 of original baseNew height = 1/3 of original heightA' = 1/2 * (1/3 * base) * (1/3 * height)Simplifying this:
A' = 1/2 * (base * height) * (1/3 * 1/3)
A' = 1/2 * base * height * 1/9
A' = (1/2 * base * height) * 1/9
A' = A * 1/9
Therefore, the area of the triangle becomes 1/9 of its original area.
There are 15 postcards in 3 equal stacks. How many postcards are in each stack Complete the bar model to solve Then write a division equation for the bar model.
Answer:
5 postcards in each stack. 15 divded by 3 equals 5.
The base of a triangle is 5 times the height. If the area is 490 square feet, then what is the height of the triangle, in feet?
Answer: 14 feet
Step-by-step explanation:
The formula for finding the area of a triangle is given as :
Area = [tex]\frac{1}{2}[/tex] x base x height
Let the height be h , then the base is 5 times the height , that is the base is 5h.
Substituting into the formula , we have
490 = [tex]\frac{1}{2}[/tex] x h x 5h
490 = [tex]\frac{1}{2}[/tex] x [tex]5h^{2}[/tex]
multiply through by 2
980 = [tex]5h^{2}[/tex]
divide through by 5
196 = [tex]h^{2}[/tex]
Therefore :
h = 14
Therefore : the height is 14 feet
Thinking Dan drew the trapezoid at the right.
The top is 3 inches long. The bottom is twice as long as the
top. The length of a side is 5 inches. How can you find the
perimeter of the trapezoid? Label the lengths of the sides.
Answer:3x6x5
Step-by-step explanation:
A rectangular yard has a width that is 1/2 times its length and has an area of 3800 square feet. What is the length of the yard?
Answer:
712.5
Step-by-step explanation:
The length of the rectangle is 87.1 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that a rectangular yard has a width that is 1/2 times its length and an area of 3800 square feet.
Length = L
Width = W
Given that
W = 1/2 L
Area = 3800 square feet
The area of the rectangle = length × Width
3800 = L x 1/2 L
L² = 7600
L = 87.1 feet
Thus, the length of the rectangle is 87.1 feet
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I need help please and thank you
Answer:
yes
Step-by-step explanation:
can i get brainliest please and thank you.
what is the rise,run and slope??
Answer:
y axis over x axis is the right answer
Answer:
Rise is 2 run is -1. Slope is [tex]-\frac{2}{1}[/tex].
Someone bought a watermelon pack of napkins and a paper plate the food do not have tags but the non-food items have 5% tax the total cost before tax was $8.25 the tax was $.19 how much was the watermelon
Question:
A shopper bought a watermelon, a pack of napkins, and some paper plates. In his state, there is no tax on food. The tax rate on non-food items is 5%. The total for the three items he bought was $8.25 before tax, and he paid $0.19 in tax. How much did the watermelon cost?
Answer:
Cost of watermelon is $ 4.45
Solution:
From given,
Total amount for three items before tax = $ 8.25
Tax amount = $ 0.19
Tax on non food = 5 %
Here, non food means napkin and paper plates
Let "x" be the cost spent for napkin and paper plates
Then,
5 % = 0.19
100 % = x
This forms a proportion
[tex]5 \times x = 0.19 \times 100\\\\5x = 19\\\\x = 3.8[/tex]
Thus cost spent for napkin and paper plates is $ 3.8
Therefore,
Watermelon cost = total amount before tax - cost spent for napkin and paper plates
Watermelon cost = 8.25 - 3.8 = 4.45
Thus cost of watermelon is $ 4.45
The watermelon cost $4.45, calculated by subtracting the cost of the non-food items ($3.80) taxed at 5% from the total cost before tax ($8.25).
The information provided gives us the total cost before tax ($8.25) and the total tax amount ($0.19). Because only non-food items are taxed, and the tax rate is 5%, we can find the cost of the non-food items by dividing the total tax amount by the tax rate (expressed as a decimal).
Convert tax rate to decimal: 5% = 0.05
Divide the total tax by the tax rate: $0.19 / 0.05 = $3.80
Deduct the cost of the non-food items from the total cost before tax: $8.25 - $3.80 = $4.45
The cost of the watermelon, which is a food item and thus not taxed, is $4.45.
Combine the like terms to create an equivalent expression 2a + 6 + 1
Answer:
2a+7
Step-by-step explanation:
Answer:
2a+7
Step-by-step explanation:
2a+6+1=2a+7
Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-78x+52=-52x-78−78x+52=−52x−78minus, 78, x, plus, 52, equals, minus, 52, x, minus, 78
(Choice B)
B
52x+52=52x-7852x+52=52x−7852, x, plus, 52, equals, 52, x, minus, 78
(Choice C)
C
58x+52=78x-7858x+52=78x−7858, x, plus, 52, equals, 78, x, minus, 78
(Choice D)
D
58x+52=-78x-7858x+52=−78x−7858, x, plus, 52, equals, minus, 78, x, minus, 78
The equations which have exactly one solution are:
Choice A: [tex]-78x+52=-52x-78[/tex]
Choice C: [tex]58x+52=78x-78[/tex]
Choice D: [tex]58x+52=-78x-78[/tex]
Explanation:
Choice A: [tex]-78x+52=-52x-78[/tex]
Adding both sides by 52x, we have,
[tex]-26x+52=-78[/tex]
Subtracting both sides by 52,
[tex]-26x=-130[/tex]
Dividing both sides by -26,
[tex]x=5[/tex]
Hence, the equation [tex]-78x+52=-52x-78[/tex] has exactly one solution.
Thus, Choice A is the correct answer.
Choice B: [tex]52 x+52=52 x-78[/tex]
Subtracting both sides by 52x,
[tex]52=-78[/tex]
Since, both sides are not equal.
It has no solution.
Thus, Option B is not the correct answer.
Choice C: [tex]58x+52=78x-78[/tex]
Subtracting both sides by 78x,
[tex]-20x+52=-78[/tex]
Subtracting both sides by 52,
[tex]-20 x=-130[/tex]
Dividing both sides by -20,
[tex]x=6.5[/tex]
Hence, the equation [tex]58x+52=78x-78[/tex] has exactly one solution.
Thus, Choice C is the correct answer.
Option D: [tex]58x+52=-78x-78[/tex]
Adding both sides by 78x,
[tex]136x+52=-78[/tex]
Subtracting both sides by 52,
[tex]136x=-130[/tex]
Dividing both sides by 136,
[tex]x=-\frac{65}{68}\\x=-0.956[/tex]
Hence, the equation [tex]58x+52=-78x-78[/tex] has exactly one solution.
Thus, Choice D is the correct answer.
Answer
a
Step-by-step explanation:
it must =180
Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)
Answer:
i got 11%
Step-by-step explanation:
The percentage complaint about parking and location is 58%. The correct option is B
From the histogram ;
Difficulty parking = 250Isolated location = 200Sum of complaints : (200 + 250) = 450
The total number of complaints :
(450) + 150 + 125 + 50 = 775Percentage about parking and location :
(450 / 775) × 100% = 58.06Hence, the percentage complaint about parking and location is 58%
Complete Question:
Customer Complaints Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)
A 47%
B 58%
C 75%
D 68%
Solve 3/2 x - 4 = 16
-3 + 9 ( 102 - 4 ) (simplify)
Answer: 879
Step-by-step explanation:
The order of operations calls for Parenthesis, Multiply, Divide, Add, Subtract. From left to right.
So we do the parenthesis first (102 - 4)
-3 + 9 (98)
Next we multiply 9 and 98
-3 + 882
Lastly we add -3 and 882
879
what is 1 5/6 of $84.00
Answer:
425/2
Step-by-step explanation:
Which of the following sets of numbers could be the sides of a triangle
6, 8, and 15
9, 13, and 17
2,3, and 6
10, 10, and 20
Answer:
the answer is 10,10and 20
Step-by-step explanation:
becoz 2 sides are equal n the other is not
Answer:
your answer is D.) 10,10 and 20
Step-by-step explanation:
A seller has a house that is 1900 ft^ 2 . The neighborhood comps show the line of best fit to be y = 0.074x + 50.48 . What is a fair price for this house?
Answer: 191,000
Step-by-step explanation:
factor this polynomial expression 2x2+12x+18
Answer:
the answer is 2 (x-3)2
Step-by-step explanation:
Answer:
(2x + 6)(x + 3)
Step-by-step explanation:
2x^2 + 12x + 18
The above equation can be factorize as follows.
First multipy the first term(2x^2) and the last term (18) together as shown below
2x^2 x 18 = 36x^2
Next we will find the factor of 36x^2 such that the sum of the two factors will result to the second term in the equation (ie 12x). This factors are 6x and 6x. Now, let us put these factors in the equation, we have:
2x^2 +12x + 18
2x^2 + 6x + 6x + 18
Now we can factorize as follows
2x(x + 3) + 6(x + 3)
Now we have same entity in the two brackets., we'll pick one
(2x + 6)(x + 3)
(3 2/3 + 17 1/5) - ( 11 3/5 + 2 1/3) =
Answer:
6 14/15
Step-by-step explanation:
I would say simplifie the paratensies.
First:
3 2/3+ 17 1/5 =
Common factor of 3 and 5 is 15
3 10/15 + 17 3/15 = 20 13/15
Second:
11 3/5 + 2 1/3 =
Common factor of 3 and 5 is 15
11 9/15 + 2 5/15 = 13 14/15
20 13/15 - 13 14/15 = 7 13/15 - 14/15 = 7 - 1/15 = 6 14/15
where do y=2x+4 and y=2.50x+2 intersect
Answer:
(4, 12)
Step-by-step explanation:
When the two lines intersect on a graph, it is when you can put the same value for "x" into both equations, and the same value for "y" into both equations.
Because they both equal "y", and y = y, you can equate the expressions together.
y = y
2x + 4 = 2.50x + 2
Now the goal is to move all the numbers with "x" to the left. Move the the numbers to the right side. (This is called isolating "x" because it will be alone).
2x + 4 - 4 = 2.50x + 2 - 4 Subtract 4 from both sides
2x = 2.50x - 2
2x - 2.50x = 2.50x - 2.50x - 2 Subtract 2.50x from both sides
-0.50x = -2
-0.50x/-0.50 = -2/-0.50 Divide both sides by -0.50
x = 4 Found "x" coordinate
Choose one of the original equations. Change "x" to 4 (called substitution).
y = 2x + 4
y = 2(4) + 4 Multiply first
y = 8 + 4 Add
y = 12 Found "y" coordinate
Now write the coordinates like an ordered pair (x, y).
The lines intersect at (4, 12).
-- Simplify the expression: Show your work. Write the answer in standard form
(15 +6d - (2) + (-502 - 18 + 60)
PLEASE HELP
Answer:
6d - 447
Step-by-step explanation:
(15+6d) - 2 + (-502 - 18 + 60)
(13+6d) + (-460)
6d + 13 - 460
6d - 447
The required answer is 6d - 531
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
(15 +6d - (2) + (-502 - 18 + 60)
Thus,
(15 +6d - (2) + (-502 - 18 + 60)
= 15 + 6d - 2 - 502 + 18 - 60
Rearranging we get,
= 15 + 18 + 6d - 2 - 502 - 60
= 33 + 6d - 564
= 6d - 564 + 33
= 6d - 531
this is the required answer.
Thus, the required answer is 6d - 531.
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Help please! Question is in picture
39 ft of carpet
11x3+3x2=39
Combine 2y+1x=40 and y=2x using substitution
2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution
Solution:
Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method
The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.
Given equations are:
2y + 1x = 40 -------- eqn 1
y = 2x ----------- eqn 2
We can substitute eqn 2 in eqn 1
Which means, substitute y = 2x in place of y in eqn 1
2(2x) + 1x = 40
4x + 1x = 40
5x = 40
x = 8
From eqn 2,
y = 2(8)
y = 16
Thus by combining using substitution method we found the solution
what is -1 1/2 as a decimal
Please help me asap very urgent
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
34
Step-by-step explanation:
We know that the sum of angles in a quadrilateral must be 360.
As such, we can sum up all given values for all 4 angles and set it equal to 360
[tex]360=108+88+2x+(3x-6)\\360=190+5x\\170=5x\\x=34\\\\[/tex]
Answer:
x=59
Step-by-step explanation:
the sum is 360 degrees.. Therefor
x + x + 2x + 3 + 2x + 3 = 360
combine alike terms
6x + 6 = 360
6x = 354
x = 59