Answer:
9.435
Step-by-step explanation:
What is the name of the following solid figure?
square pyramid
square prism
rectangular prism
cube
One month Jessica rented 4 movies and 8 video games for a total of $61. The next month she rented 2 movies and 3 video games for a total of $25. Find the rental cost for each movie and each video game.
Answer:
A movie costs $4.25 and a video game $5.5.
Step-by-step explanation:
Step 1: Form the equations.
Let m be the price of a movie and v the price of the video game.
First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.
[tex]4m + 8v = 61[/tex]
Second equation: The next month she rented 2 movies and 3 video games for a total of $25.
[tex]2m + 3v = 25[/tex]
Step 2: Solve the system of equations.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]
I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]
Now I'm going to subtract the second equation from the first.
[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]
And solve.
[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]
Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).
[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]
Help me please for 50 points
[tex]\left(\sqrt[3]{- \dfrac 18} \right)^3+3\dfrac3 4\\\\\\=\left[\left(-\dfrac 18 \right)^{\tfrac 13}\right]^3+ \dfrac{12+3}4\\\\\\=\left(-\dfrac 18 \right)^{\tfrac 33\right)+ \dfrac{15}4\\\\\\=\dfrac{15}{4}- \dfrac 18\\\\\\\\=\dfrac{30-1}{8}\\\\\\=\dfrac{29}8\\\\\\=3\dfrac 58 \\\\\\= 3.625[/tex]
Answer:
29/8
Step-by-step explanation:
Pls answer
THe question below in the image
Answer:
Question 1: D.Question 2: C.Step-by-step explanation:
Question 1:
Franco made 36 invitations and gave out 14. How many invitations does he have left?
Simple. Solve for the bottom:
Bottom (Total): 36Right (Blue grid): 14Left (Red grid): ?That is the answer D.
Question 2:
Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?
Complicated (a bit). Solve:
Bottom (Total): ?Left (Red grid): 14Right (Blue grid): 36That is the answer C.
Find the radian measure of the central angle of a circle of radius 12 that intercepts an arc length 32.5. Round to the nearest hundredth.
50 POINTS! Use the Parabola tool to graph the quadratic function.
f(x)=(x+4)^2 −6
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
General equation
y=a(x-h)²+kBy observing y=(x+4)²-6
Vertex is at (-4,-6)a is 1So
The parabola graph is attached
Answer:
See below ~
Step-by-step explanation:
Given :
f(x) = (x+4)² − 6
f(x) = a(x + h)² + k
The vertex of the graph is (-4, -6)Compressibility factor (a) is equal to 1Another point on the parabola :
Take x = 1f(1) = (1 + 4)² - 6f(1) = 25 - 6f(1) = 19The second point is (1, 19)Graph :
pls help find the lateral surface area of this prism in square centimeters, i give brainliest!! :)
Answer:
1232 square meters
Step-by-step explanation:
The lateral surface area are all the rectangles.
1st rectangle:
A = lw
A = 25(22)
A = 550
2nd rectangle:
A= lw
A = 7(22)
A = 154
3rd rectangle:
A = lw
A = 24(22)
A = 528
Add the areas together.
550 + 154 + 528 = 1232
-
I
The shaded area shows a patio that Rudy built. He covered the shaded area with square tiles.
1 tile = 1 square foot
What is the area of the patio?
O A. 15 square feet
O B. 18 square feet
OC. 21 square feet
OD. 25 square feet
Answer:In the diagram, there are 28 tiles. You can do that with easy multiplication or just counting. Each square length is 1.5 feet, or 18 inches. You get that by multiplying 12 by 1.5. The area of a square is 324 inches, found by multiplying 18 by 18. Divide 324 by the area of a tile, 36 (6*6), to get 9. There are 9 tiles in each square. Multiply 9 by 28 to get... 252
Step-by-step explanation:
5. A pyramid with a triangular base has a volume of 80 cubic meters and a base
area of 20 square meters. Find the height of the pyramid.
The height of the triangular pyramid will be equal to H=12 feet.
What is a triangular pyramid?A triangular pyramid is a pyramid having triangular faces the other sides of the pyramid are simliar triangles.
It is given that:-
The Volume of the pyramid=80 cubic meters
The Base area of the pyramid=20 square meters
The height of the pyramid=?
We know that the volume of a pyramid is given as:-
V=(1÷3)x Base area x height
V=(1÷3)x20 x H
H=(80x30)÷20
H=12 feet
Hence the height of the triangular pyramid will be equal to H=12 feet.
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use the factored form to solve the related question, 2x^2+17x+30=0. what are the solutions
Answer: x = -6 and x = -5/2
Step-by-step explanation:
[tex]$$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-\frac{5}{2}$$[/tex]
A marathon swim follows a triangular course marked with three buoys, A, B, and C. The distance from buoy A to B is 400 meters, B to C is 500 meters, and C to A is 600 meters. What is the smallest angle the swimmers must turn between the buoys
By applying the law of cosine, the smallest angle which the swimmers must turn between the buoys is 41.4°.
How to determine the smallest angle?In order to determine the smallest angle which the swimmers must turn between the buoys, we would apply the law of cosine.
Given the following data:
Side AB = c = 400 meters.Side BC = a = 500 meters.Side CA = b = 600 meters.
Form the law of cosine, we have:
[tex]CosC =\frac{a^2 + b^2 - c^2}{2ab} \\\\CosC =\frac{500^2 + 600^2 - 400^2}{2 \times 500 \times 600}\\\\CosC =\frac{450000}{600000}\\\\C = cos^{-1} 0.75\\\\[/tex]
C = 41.4°.
For angle B, we have:
[tex]CosB =\frac{a^2 + c^2 - b^2}{2ac} \\\\CosB =\frac{500^2 + 400^2 - 600^2}{2 \times 500 \times 400}\\\\CosB =\frac{1}{8}\\\\B = cos^{-1} 0.125\\\\[/tex]
B = 82.8°.
For angle A, we have:
[tex]CosA =\frac{b^2 + c^2 - a^2}{2bc} \\\\CosA =\frac{600^2 + 400^2 - 500^2}{2 \times 600 \times 400}\\\\CosA =\frac{9}{16}\\\\A = cos^{-1} 0.5625\\\\[/tex]
A = 55.8°.
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You have 10 trees and 5 rows you can only use 4 trees a row
Answer:
You would plant 2 trees in each row instead of 4.
10 divided by 5 = 2
Which step is the most efficient way to find the solution of p+5>−13?
Answer:
Subtract 5 from both sides
Step-by-step explanation:
Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options
Margo's parents started a savings account when she started highschool. They put in $12,500 to start. If the account earns 7% simple interest every year, How much will she have after 4 years?
Answer:
probably bout like 4 dollars
Step-by-step explanation:
Can someone come up with something easy for me to memorize mode and mean and range and median pls . Im having finals and I need help
Answer:
Mean-average
Median-middle
Mode-Most Often Digit Entered (Most Common Digit)
Range-Least To Greatest
Step-by-step explanation:
100 POINTS PLEASE HELP (pictures are down below)
Step-by-step explanation:
photos explain. in the second photo, A didnt start at 0 so it looked not accurate
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
4/1 * 1/34 * 1 = 41 * 3 = 34/3; 1 1/3Answer:
B) 1 1/3
Step-by-step explanation:
4 x 1/3 = 4/3
4/3 = 1 1/3
Malia walked her sister, flash, a total of 8 4/5 blocks every day. if malia and flash walked the same amount daily, how many blocks did they walk in 4 days? write your answer as a fraction or as a whole or mixed number.
Answer:
multiply the distance they walked by 4 since they walked for 4 days
Step-by-step explanation:
will give brainliest
Answer:
Here is your answer
Step-by-step explanation:
Bearing from point A to B, can be calculated as,
beta = atan * 2(X, Y)
where, X and Y are two quantities and can be calculated as:
X=cos theta b^ * s AL
Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate
40% of the cars in a parking lot were american made cars. if there are 60
american made cars in the parking lot, how many cars are in the lot?
there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]
What are irrational and rational numbers?
An irrational number is a type of real number which cannot be represented as a simple fraction.
A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
Answer:
here is the definition of irrational and rational numbers
Factor
Please help me I will mark as brainliest
Answer:
hope this will help you
Step-by-step explanation:
[tex]b { }^{2} - 81 = 0 \\ b {}^{2} = 81 \\ b = \sqrt{81} \\ b = 9[/tex]
Answer: Heyaa! :D
Your Answer Is... 9
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
a²−b²=(a + b)(a − b) where a = B and
b = 9.
(B + 9)(B − 9)
-1 and 5 represents the distance between
Answer:
betewwn them?
Step-by-step explanation:
The mosaic had a 7 × 7 array of different color square tiles. If each tile is 3
1
2
ft long, what is the area of the whole mosaic
Answer:
441 square feet.
Step-by-step explanation:
Area = length times width. Both length and width are 21 feet (3×7).
For what real values of $c$ is $4x^2 + 14x + c$ the square of a binomial?
Only for c = 49 the given expression is the square of a binomial.
For which values of c is the given expression the square of a binomial?We want to find the values of c such that:
[tex]4x^2 + 14x + c[/tex]
Is the square of a binomial.
Remember that:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
Now we can rewrite our expression as:
[tex](2x)^2 + 2*7*x + c[/tex]
If you compare that with the general binomial expansion, we can see:
[tex]a = 2x[/tex]
[tex]b = 7[/tex]
Then c must be equal to 7 squared:
[tex]7^2 = 49 = c[/tex]
Only for c = 49 the given expression is the square of a binomial.
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The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2 kg. Given that information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A.
Compare the masses of the two samples to decide who is correct. State which person is correct and explain your answer using mathematics.
Narissa is right sample B is 15,000 times that of sample A
What is mass?The quantity of matter that any object contains is called the mass of the body.
It is given that:-
The mass of lab sample A is 2.4 x 10^-2 kgThe mass of lab sample B is 3.6 x 10^2 kgSo the mass will be given as:-
[tex]\dfrac{B}{A}=\dfrac{3.6\times 10^2}{2.4\times 10^{-2}}[/tex]
[tex]\dfrac{B}{A}=15000[/tex]
B = 15000 B
Therefore Narissa is right sample B is 15,000 times that of sample A
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The diameter of a circle is 16 centimeters. How would you calculate the area?
A. TT. 82 cm.
B. 28 cm.
C. TT 162 cm.2
D. 2. T. 16 cm.
Follow the rule to find the output for an input of -4. output = input x 17
Answer:
output = - 68
Step-by-step explanation:
given
output = input × 17
when input = - 4 , then
output = - 4 × 17 = - 68
The midpoint of AB is M(6,3). If the coordinates of A are (7,4) what are the coordinates of B?
Answer:
(6.5,3.5)
Step-by-step explanation:
(6+7)÷2=6.5
(3+4)÷2=3.5
The catalog is advertising a stack of these cups that is 95 cm tall. Lori says, “That must be a misprint because a stack of that height is not possible.”
Do you agree or disagree with Lori? Explain your reasoning.
Answer:
in particular, the relationship between height of stack and number of cups yields a non-whole number of cups, corresponding to a height of 95 cm. In this context, that is not possible because we do not allow for parts of cups.
Step-by-step explanation:
It is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.
What is Area of Rectangle?The area of Rectangle is length times of width.
Assuming the cups are all the same size and shape, the height of the stack would depend on the number of cups in the stack.
if each cup is 5 cm tall, a stack of 19 cups would be 95 cm tall (19 x 5 = 95).
If the cups are irregularly shaped or have varying sizes, it may be more difficult to stack them in a way that reaches 95 cm in height.
It is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.
It is possible for some stacks of cups to reach this height, but not necessarily all stacks of cups.
Hence, it is possible for a stack of cups to be 95 cm tall depends on the size and shape of the cups and how they are stacked.
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