Answer:
240
Step-by-step explanation:
h+c=320
c=3h ( since 3 times the cheeseburger)
Now plug in 3h for C
h+3h=320 = 4h=320
Now divide 320 by 4 to get "h" alone
h=80
now plug 80 back t the eqation of c=3h
so now it is...
c=3 x 80
which is 240
so ur andswer is 240
angle sum theory find Y
25
Step-by-step explanation:The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.
Finding X
To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.
Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.
115 + x = 180By subtracting 115 from both sides we know that x = 65.
Solving for Y
Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.
Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.Lastly, we can create a formula to find y with the angle sum theory.
90 + 65 + y = 180Combine like terms
155 + y = 180Subtract 155 from both sides
y = 25This means that the angle y is 25 degrees.
what is the product? (7x^2)(2x^3+6)(x^2-4x=9)
Answer:
14x^7-56x^6=9
Step-by-step explanation:
distribute
(7x^2)(2x^3 +6)(x^2 -4 * 9=x)
(2x^3+6)(x^2 -4 * 9=x)=2x^5-8x^4=9
(7x^2)(2x^5-8x^4=9)
14x^7-56x^6=9
Decide if the function is an exponential function. If it is, state the initial value and the base. (5 points) y = - 6.1 ⋅ 3x
The function is an exponential function; the initial value is -6.1 and the base is 3
How to determine the function type?The equation of the function is given as:
y = -6.1 *(3^x)
An exponential function is represented as:
y = ab^x
Where:
Initial value = a
base = b
By comparison, we have
a = -6.1 and b = 3
Hence, the function is an exponential function; the initial value is -6.1 and the base is 3
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The diagonal of a rhombus is 24m and 10m. Find the perimeter.
Answer:
52m
Step-by-step explanation:
rhombus
its like a slanted square
all its 4 sides are equal like a square
both pairs of opposite sides are parallel
when the diagonals criss cross they make 4 triangles inside
the sides of the rhombus become the hypotenuse of a triangles inside
if the diagonal is 24 and 10 then
its radius is 12 and 5
the sides of the rhombus become the hypotenuse of a triangle that have the sides 12 and 5
hypotenuse of a triangle that has the sides 12 and 5 is
13
(its a special triangle: its a 5, 12, 13 right triangle)
13 times 4 is 52
The slope indicates how fast y increases or decreases as x increases.
O True
O False
The answer is : True
Trust me char HAHA
BÁKLA KA POR TODEYS BEDYO.
Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P=4 πIr^2 Which equation correctly rewrites the formula to solve for I?
Answer:
See below
Step-by-step explanation:
P = 4pir^2 l divide both sides by 4 pi r^2
l = P /(4pir^2)
PLEASE HELP SOON THX SO MUCH
an airplane flies 3300 miles with the wind in 3 hrs 18 minutes. it takes 4 hrs 24 mins to make the return flight against the same wind. find speed of airplane and wind.
Answer:
The speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.
Step-by-step explanation:
Let’s assume the speed of the plane =x miles/hr
And let the speed of wind =y miles/hr
So, the speed of the aeroplane in the direction of wind =(x+y) miles/hr
Speed of the aeroplane in the opposite direction of wind =(x–y) miles/hr
We know that, distance=speed×time
Then according to the given conditions, we have
3300=(x+y)×(3+(18/60))
here convert 18mins to hour by dividing by 60 and add to 3hrs.
⇒x+y= 3300/3.3
⇒x+y=1000 … (i)
And,
3300=(x-y)×(4+(24/60))
here convert 24mins to hour by dividing by 60 and add to 4hrs.
⇒x-y= 3300/4.4
⇒x-y=750 … (ii)
Adding equation (i) and (ii), we get
2x=1750
⇒x= 1750/2
=875
Substituting the value of x in equation (ii), we get
875−y=750
⇒y=875-750
⇒y=125
Therefore, the speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.
S and Tare mutually
exclusive events. Find P(sort)
P(S) = 12% P(T) =27%
The value of the probability P(S or T) is 39%
How to determine the probability?The probability values are given as:
P(S) = 12% P(T) =27%
For mutually exclusive events,
P(S or T) = P(S) + P(T)
This gives
P(S or T) = 12% + 27%
Evaluate the sum
P(S or T) = 39%
Hence, the value of the probability P(S or T) is 39%
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This circle is centered at the origin, and the length of its radius is 10. What is
the circle's equation?
A. x+y=10
B. x¹° + y¹° = 100
C. X²+ y² =10
D. X² +y²=100
Answer:
D
Step-by-step explanation:
If you substitute the radius, 10, and the center of the circle, the origin (also known as (0,0) into the equation of a circle, you should get: [tex](x - 0)^{2} + (y - 0)^{2} = 10 ^{2} [/tex]
Multiplying this out should leave you with D as your answer.
Match the multiplication problem on the left with the simplified polynomial on the right.
4x(4x²-x+3)
16x²
(8x + 1)(2x - 3)
4x² (4x)
(2x + 3) (8x² - 4x + 3)
►
16x²-22x-3
16x³
16x³4x² + 12x
16x³4x² + 4x - 12
16x³ + 16x² - 6x +9
The match of the multiplication problem with the simplified expressions is as follows:
4x(4x²-x+3) ⇒ 16x³ - 4x² + 12x(8x + 1)(2x -3) ⇒ 16x² - 22x - 3 4x² (4x) ⇒ 16x³(2x + 3) (8x² - 4x + 3) ⇒ 16x³ + 16x² - 6x + 9Multiplication of polynomial expressions.The process involved in multiplying polynomial expression requires using all the parameters in parentheses to multiply each other.
From the given information:
[tex]\mathbf{4x(4x^2-x+3)}[/tex]
By using distributive law m(a+b+c) = ma + mb + mc
[tex]\mathbf{=4x(4x^2)+4x(-x)+4x(3))}[/tex]
= 16x³ - 4x² + 12x
(8x + 1)(2x -3)
By applying FOIL method: (a+b)(c+d) = ac + ad + bc + bd
= (8x (2x)) + (8x(-3)) + (1 × 2x) + (1 × (-3))
= 16x² - 22x - 3
4x² (4x)
Applying exponent rule; [tex]\mathbf{a^b*a^c = a^{b+c}}[/tex]
[tex]\mathbf{= 4x^2 (4x)= x^2*4^{1+1}x}[/tex]
[tex]\mathbf{= x^2*4^{2}x}[/tex]
[tex]\mathbf{= 4^{2}x^{2+1}}[/tex]
[tex]\mathbf{= 4^{2}x^{3}}[/tex]
[tex]\mathbf{= 16x^{3}}[/tex]
(2x + 3) (8x² - 4x + 3)
Using distributive parentheses:
= 2x(8x² - 4x + 3) + 3(8x² - 4x + 3)
= 16x³ + 16x² - 6x + 9
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what's the numerator for the following rational expression? 6/t+7/t=?/t
The numerator for the following rational expression is 13
How to determine the numeration?The rational expression is given as:
6/t + 7/t
Take the LCM of the denominator;
The LCM of t and t is t
So, we have:
6/t + 7/t = (6 + 7)/t
Evaluate the sum
6/t + 7/t = 13/t
13 is the numerator, while t is the denominator
Hence, the numerator for the following rational expression is 13
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How can I solve this?? Please help
Answer:yes
15x times 2=30x
15x times 3= 45x
3y tines 2 =6y
3y times 3=9y
Step-by-step explanation:
Note: When solving for k, round to four decimal places.
A country's population in 1994 was 107 million. In 1997 it was 112 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million.
Answer: 132 million
Exponential growth formula: [tex]P=A e^{rt}[/tex]
[P is final amount, A is initial amount, r is growth rate, x is time intervals]
To find growth rate:
[tex]112 = 107 e^{r(3)}[/tex]
[tex]3r= ln(112/107)[/tex]
[tex]r= ln(112/107)/3 = 0.01522334561[/tex]
Population in 2008:
[tex]P_{2008}=107 e^{(0.01522334561(14))}[/tex]
[tex]P_{2008}=132.4169522[/tex]
[tex]P_{2008}=132\:million \quad (rounded \:to\:nearest\:million)[/tex]
how to estimate 11578995 to the nearest lakh
Answer:
1,16,00,000
Step-by-step explanation:
To round to the nearest lakh, identify the digit that is to the right of the number place representing 1 lakh. If it is 5 or greater, round up.
Round to nearest lakhThe value 1,15,78,995 is 115.78995 lakh. The digit to the right of the decimal point in this number is 7, which is greater than 4. Hence the nearest lakh is 116 lakh, or ...
1,16,00,000
A fish tank has a length of 12 cm a width of 15 cm and a depth of 25 cm find the volume of the fish tank
Answer:
The formula of volume of cube is l*b*h
45*25*10=11250 cubic cm
Step-by-step explanation:
volume =length×width ×height
given:
length:45 cm
width:25 cm
height(depth):10 cm
according to the question
45 cm×25cm ×10cm
11250 cubic cm
Find the area of the following figure ( i don't know how to get that answer plsss, help)
The area of the figure is 11. 27 cm²
How to determine the areaThe figure given is a parallelogram
The formula for the area of a parallelogram is given thus;
Area = base × height
From the figure, we have that
base = 2. 3 cm
height = 4. 9 cm
Substitute into the formula
Area = 2. 3 × 4. 9
Area = 11. 27 cm²
Thus, the area of the figure is 11. 27 cm²
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In △ABC, we are told that c=11, ∡C=75∘, and ∡B=29∘. Solve for a and b.
The value of a and b are 5.5 and 11.0.
How to find side of a triangle?
The sides a and b of the triangle can be found as follows:
∠B = 29°
c = 11
∠C = 75°
∠A = 180 - 75 - 29 = 76°
Using sine ratio,
b / sin 29° = 11 / sin 75
b sin 75 = 11 sin 29
b = 11 sin 29 / sin 75
b = 5.33290582271 / 0.96592582628
b = 5.51816958277
b = 5.5
Let's find a,
a / sin 76 = 11 / sin 75
a sin 75 = 11 sin 76
a = 11 sin 76 / sin 75
a = 10.673252989 / 0.96592582628
a = 11.0466922042
a = 11.0
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Select the correct answer.
A triangular tabletop has the given dimensions. Vinyl is placed around the outer edges of the tabletop.
3 ft
45°
45°
What is the approximate length of vinyl needed for the outer edges of the tabletop?
OA.
OB.
OC.
O D.
10.2 ft
14.2 ft
9 ft
11.2 ft
The length of the vinyl must be 10.2ft
How to get the length of the vinyl?We know that two of the angles of the triangle measure 45°, then we have a right triangle of 45°, 45°, 90°.
We know that the catheti measure 3 ft, using the pithagorean theorem, we know that the length of the hypotenuse is given by:
[tex]H^2 = (3ft)^2 + (3ft)^2[/tex]
[tex]H = \sqrt{2*(3ft)^2} = 4.2ft[/tex]
Then the perimeter of the triangle is:
P = 3ft + 3ft + 4.2ft = 10.2ft
The length of the vinyl must be 10.2ft
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2y + 3x = -6 in slop intercept form
Answer:
[tex]y=-\frac{3}{2}x-3[/tex]
Step-by-step explanation:
The slope-intercept form is written as y= mx +c, where m is the slope and c is the y-intercept.
For the equation to be in the slope-intercept form, first leave the y term on the left-hand side of the equation and bring the rest to the right-hand side.
2y= -3x -6
Ensure that the coefficient of y is 1. In this question, we can divide both sides of the equation by 2 to achieve the slope-intercept form.
[tex]y=\frac{-3x}{2}-\frac{6}{2}[/tex]
Simplify:
[tex]\bf{y=-\frac{3}{2}x-3 }[/tex]
Additional:
For more questions on slope-intercept form, do check out the following!
https://brainly.com/question/27497166Write 4.714 as a mixed number
Answer:
47/14 is a mixed number i think
The shaded region under a Normal distribution with mean 100 and standard deviation 5 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. mean The shaded region under a Normal distribution with mean 100 and standard deviation 5 is shown . Which of the following is the best choice that corresponds to the shaded region ? Select one .
The shaded region shown in the graph of the normal distribution corresponds to P(x < 92.5).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The z score shows by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
The diagram represents z < 1.5 mean = 100, standard dev = 5 hence:
-1.5 = (x - 100)/5
x = 92.5
The shaded region shown in the graph of the normal distribution corresponds to P(x < 92.5).
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Okay, I am getting familiar with quadratic equations by I'm not sure of X=m+/- n... Help!
The value of m and n to show the solution of the equation x² + 6x - 5 = 0 is m = -3 and n = ± √14
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
x² + 6x - 5 = 0
x² + 6x = 5
x² + 6x + 9 = 5 + 9
(x + 3)² = 14
x + 3 = ±√14
x = -3 ± √14
The value of m and n to show the solution of the equation x² + 6x - 5 = 0 is m = -3 and n = ± √14
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Which of the following results in the difference of two squares?
The difference of two squares expression is (c) (5x + 3y)(5x - 3y)
How to determine the difference of two squares?The difference of two squares expression is represented as:
a^2 - b^2 = (a + b)(a - b)
Using the above as a guide, we have the following expression in option (c)
(5x + 3y)(5x - 3y)
Hence, the difference of two squares expression is (c) (5x + 3y)(5x - 3y)
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a square pyramid has side length 9 in. and volume = 270 in^3. find the height.
If the square pyramid has side length 9 inches and volume of 270 inches cube then by putting the values within the formula of volume height are going to be 10 inches.
Given Length and volume of a square pyramid are 9 inches and 270 inches cube. Square pyramid is the pyramid having square base. It is a right square pyramid.
We know that the amount of square pyramid is 1/3 *[tex]l^{2} *h[/tex]
Put the values in formula to induce the values oh h.
Volume=1/3*[tex]9^{2}*h[/tex]
270=1/3* 81*h
h=(270*3)/81
h=810/81
h=10
Hence the peak of the square pyramid having length 9 inches and volume of 270 inches cube is 10 inches.
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If f(x) = 3x + 2, what is f(5)?
Answer:
If a numbed substitutes x in f (x), you must substitute that number in the function for x.
Step-by-step explanation:
f(5) = 3(5) + 2
f(5 )= 17
QUESTION IS DOWN BELOW 15 POINTS EACH
Answer:
See below
Step-by-step explanation:
density = mass/volume
re-arrange to density * volume = mass
20 * 64 = 1280 gm
Density = mass/volume
re-arrange to volume = mass / density
560 / 14 = 40 cm^3
The triangles below are similar. Find x.
Answer: 105
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
[tex]\frac{x}{14}=\frac{97.5}{13}\\\\=\frac{x}{14}=7.5\\\\x=\boxed{105}[/tex]
emilio bought 5.65 of green grapes and 3.07 pounds of red grapes
The weight of each bag is 0.545 lb .
What is weight ?Weight in maths is the value of the mass of an object on a measuring scale , It is measured in pound , ounce , kilogram etc.
It is given that
Total weight of green grapes = 5.65 lb
Total weight of red grapes = 3.07lb
Total weight = 5.65 +3.07 = 8.72 lb
Total number of bags = 16
the weight of each bag
= 8.72 / 16
= 0.545 lb
Therefore the weight of each bag is 0.545 lb .
The complete question is
Emilio bought 5.65lb of green grapes and 3.07lb of red grapes. He divided the grapes equally into 16 bags. If each bag of grapes has the same weight, how much does each bag weigh?
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You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and entertainment. Write an equation to model your savings plan and then graph it. What would be the domain and range in this situation?
Solve the quadratic equation by completing the square.
x^2+2x-2=0
The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
x² + 2x - 2 = 0
x² + 2x + 1 - 1 - 2 = 0
(x + 1)² - 3 = 0
(x + 1)² = 3
x + 1 = ± √3
x = -1 ± √3
Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
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