Answer:
x = −3.5
y = 11.5
Step-by-step explanation:
y = x + 15
y = −x + 8
[We know that y is 15 units more than x, and that −x is 8 units less than y. That can be combined into −x + 8 = x + 15 for the first variable (x), and for the second variable (y), y − 15 = −y + 8]
↓
In order to solve this, solve for the first variable in one of the equations, then substitute the result into the other equation.
↓
x = −[tex]\frac{7}{2}[/tex] = −3.5
y = [tex]\frac{23}{2}[/tex] = 11.5
What is the surface area of this triangular pyramid the height is 4 the base and width is 4 and the bottom back line is 4 and the base height is 3.5 yd.
Answer:
37 yd²
Step-by-step explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²
Nickoy brought some shirts. He paid $12 for each shirt. This can be modeled by the expression 12x. What does x represent
Answer:
x represents the number of shirts purchased
Step-by-step explanation:
Each time Nick buys a shirt, he has an outlay of $12. One shirt for $12, two shirts for $24, and so on. So the amount due for the purchase of x shirts is ($12/shirt)x, where x represents the number of shirts purchased.
Scott's window store made a mosaic for the community center. The mosaic had an 8 × 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole mosaic?
Answer:
455.1111 feet²
Step-by-step explanation:
Given that :
Array of mosaic = 8 * 8 color square tiles
Length of each tile = 2 2/3 feets long
The length of mosaic = length per tile * Number of array :
2 2/3 feets * 8 = 21.3333 feets
This corresponds to the side length of the mosaic
The Area of the whole mosaic:
Using the area of square formula = s²
Where, s = side length
s = 21.33333 ft²
s² = 21.33333²
s² = 455.1111²
Tennis balls are packaged in a silo-shaped container with a height of 23.5 cm and a radius of 2.9 cm. Find the surface area of the container.
Answer:
481.04 cm²
Step-by-step explanation:
A silo shaped container is shaped like a cylinder
The formula to solve for the Surface Area of a Cylinder =2πrh+2πr²
Radius = 2.9 cm
Height = 23.5 cm
=2×π×2.9 × 23.5 + 2×π×2.9²
= 481.04067 cm²
Approximately = 481.04 cm²
The surface area of the container is 481.04 cm²
(TUTORS WHERE R U?? KIDS NEED HELP LIKE ME!! ILL GIVE BRAINLYY)
Answer:
11. 10x^2 - 13x - 3
12. 5x^2 + 18x + 5
Step-by-step explanation:
11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).
[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)
So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]
12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).
[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]
Hopefully, this helped you. Good luck & have a good day!
1. :4
32+4 x (16 x 2)-2-
37:
---
Answer
Step-by-step explanation:
mulitiply the numbers
add the numbers
rearrange the numbers
Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?
Answer:
$2.02
Step-by-step explanation:
If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.
3.10 + 4.88 = 7.98
Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.
$10 - $7.98 = $2.02
Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.
Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
Answer:
An 18-month loan with a 4.75% annual simple interest rate
Step-by-step explanation:
I hope this helps u! :D
Answer:
18 months loan and with a 4.75% annual simple interest rate
Step-by-step explanation:
AABChas coordinates A (-4,-2), B(0,4), and C(4,-2). Find the midpoint of AC.
Answer:
( 0, - 2 )
Step-by-step explanation:
Mid point formula : -
( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Here,
Let ( x1, y1 ) = ( - 4, - 2 )
Therefore,
x1 = - 4
y1 = - 2
Let ( x2, y2 ) = ( 4, -2 )
Therefore,
x2 = 4
y2 = - 2
Midpoint of AC
= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2
= ( 0 / 2, - 4 / 2 )
= ( 0, - 2 )
The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.
What is the Midpoint of a Line?
The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.
Mid point formula is given as : -
( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Here,
Let ( x1, y1 ) = ( - 4, - 2 )
x1 = - 4
y1 = - 2
Let ( x2, y2 ) = ( 4, -2 )
x2 = 4
y2 = - 2
now using Midpoint formula to find the coordinates of AC
= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2
= ( 0 / 2, - 4 / 2 )
= ( 0, - 2 )
Therefore, the midpoint of AC is ( 0, - 2 )
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Find the area of the shape, there are 6 sides
Answer:
Step-by-step explanation:
all the three sides of a triangle are equal.
length of perpendicular from center on the side=[tex]h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.[/tex]
Equivalent expression of 5g +7g
Answer:
12g
Step-by-step explanation:
[tex]5g+7g=12g[/tex]
Answer:
12g
Step-by-step explanation:
5g+7g = 12g
have a great day
GIVING BRAINLIEST!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
A. Obtuse triangle
B,C,D. Acute
Step-by-step explanation:
How many solutions can be found for the equation 3z + 2[z - 3) = 7z+12
3z + 2(z - 3) = 7z + 12
Solution :-3z + 2(z - 3) = 7z + 12
3z + 2z - 6 = 7z + 12
3z + 2z - 7z = 12 + 6
5z - 7z = 18
-2z = 18
z = 18/2
z = 9
[tex] \\ [/tex]
Answered by - ItzAdmire
3z + 2(z - 3) = 7z + 12
Solution :-3z + 2(z - 3) = 7z + 12
3z + 2z - 6 = 7z + 12
3z + 2z - 7z = 12 + 6
5z - 7z = 18
-2z = 18
z = 18/2
z = 9
[tex] \\ [/tex]
Answered by - ItzMaster
A bag contains 9 blue marbles and 36 green marbles. If a representative sample contains 3 blue
marbles, then how many green marbles would you expect it to contain? Explain.
Answer:
It is 12 green marblesStep-by-step explanation:
[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]
I hope that is useful for you :)
y is directly proportional to x^3
y = 17
when
x = 4
Work out an equation connecting y and x.
Answer:
[tex] 64y = 17 {x}^{3} [/tex]
Step-by-step explanation:
[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]
The correct equation connecting y and x is,
⇒ y = 17/64x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ y is directly proportional to x³
Hence, We get;
⇒ y = kx³
Here, y 17 at x = 4;
Hence,
⇒ 17 = k × 4³
⇒ k = 17 / 64
Thus, The correct equation connecting y and x is,
⇒ y = 17/64x
Learn more about the mathematical expression visit:
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whats the slope using Rise/Run?
thanks, if you help
Answer:
the slope of the given line is m = rise / run = -1/2
Step-by-step explanation:
Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.
Thus, the slope of the given line is m = rise / run = -1/2
Help me please and if you do, I will add you and give you brainliest
Answer: B
Step-by-step explanation:
While mike was visiting his sister in arlington,he bought an aquarium that was marked down 60% from an original price of $100 .if the sales tax in Arlington is 5% ,what was the total cost of the arquarium?
Answer:
The cost of the aquarium was $38
Step-by-step explanation:
I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38
The total cost of the aquarium is the sum of the marked down price and
the sales tax.
The total cost of the aquarium is $42
Reasons:
The known information are;
Original price of the aquarium = $100
The marked down percentage of the aquarium = 60%
The sales tax = 5%
[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]
[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]
Which gives;
The difference in sale = $100 - Marked down price = $60
Marked down price = $100 - $60 = $40
The marked down price = $40
The tax is applied to the marked down price, therefore, we get;
Sales tax = 5% × $40 = $2
The total cost = Marked down price + Sales tax
The total cost of the aquarium = $40 + $2 = $42
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GODD SOMEONE HELP ME RIGHT NOW PLEASE THIS IS DUE TODAY AND I AM DUM I GIVE POINTS AND BRAINLIEST JUST HELP MEEE
Answer:
-5 and -6
Step-by-step explanation:
For trinomial factoring, you need two numbers that add up to get the -11x and two numbers that multiply to get 30.
-5 + (-6) = -11
-5 × -6 = 30
pleasee helppp
Which of the statements about the graph below is true
A. The graph is proportional and has an
equation of y = -x + 18.
B. The graph is non-proportional and has an
equation of y = -x + 18.
C. The graph is non-proportional and has an
equation of y = -2x + 18.
D. None of the above statements are true.
What is the mean absolute deviation?
92, 83, 88, 94, 91, 85, 89, 90
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation
Step-by-step explanation:
the absolute deviation is 2.75
on Tuesday, a local hamburger shop sold a combined total of 354 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburger sold. How many hamburgers were sold on Tuesday?
Answer:
176
Step-by-step explanation:
if tan27° =k express the following in terms of k
1. sin 27°
Answer:
) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o in terms of k:
sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha
Plugging alpha = 180^o , beta = 20^o in the formula yields:
sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o
Plugging sin 180^o = 0 and cos180^o = -1 in the formula yields:
sin 200^o = - sin 20^o = -k''
Step-by-step explanation:
''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.'' https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263 hope this helps
Help.me please!!!!!!
Answer:
5 seconds
Step-by-step explanation:
Choose the right one
Answer:
g(x) = 8x
Step-by-step explanation:
cause of IXL
FIRST CORRECT ANSWER GETS BRANLIEST PLEASE HELP!!!! PHOTO ABOVE
Answer:
Step-by-step explanation:
The Pythagorean theorem is that (for right triangles)
a^2+b^2=c
Meaning c is the side opposite the right angle
Hope this helps!
find the slope of the graph
Answer:
No image please add it on your next question.
Between which two points is 95 located on the number line below?
Answer: A
Step-by-step explanation: The square root of 9 is 9.7 so it would be between 5 and 10
Answer:
A. W and X
Step-by-step explanation:
√95
9.74679434481
This number is close to 10.
5 and 15 are on the sides of 10.
X(10) is between W(5) and Y(15).
Write two solution points for the equation y=3x-1 when x us 1 and x is 2
Answer:
x=1. (1, 2)
x=2. (2, 5)
Step-by-step explanation:
i hope this helps :)
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
the mean changes a lot, the median doesn't change
Answer:
B
Step-by-step explanation:
the mean is 599.5 and the median is 410