Answer:
x = 2 and y = 7
Step-by-step explanation:
We are given two equations:
1. 8x + y = 23
2. −10x - y = −27
By adding both equations with each other we get:
(1.+2.) -2x = -4
Which can be reduced to:
(1.+2. : (-2)) x = 2
We can insert x in Equation 1. (or 2) and get:
8*2 + y = 23
16 + y = 23 [-16 on both sides]
y = 7
Resulting in x = 2 and y = 7 as a possible solution for this system.
Answer:
Step-by-step explanation:
8x + y = 23
-10x - y = -27
-2x = -4
x = 2
8(2) + y = 23
16 + y = 23
y = 7
(2, 7)
A man wants to determine the height of a light house. He measured
the angle at A and found that tan A = 3/4. What is the height of the
light house if A is 40 m from the base ?
Answer:
Step-by-step explanation:
height/A = tanA
height/40 = 3/4
height = 30 meters
Can someone help me with this thingy thing thing
Answer:
A or D your choice
Step-by-step explanation:
althea normally saves $x each month; but in june she saved $4 more than twice her usual amount. in june she saved...
Answer:
The amount saved in June is;
$(2x + 4)
Step-by-step explanation:
Here, we want to get the amount saved in June
From the question, she saved $5 more than twice here usual amount
twice here usual amount is 2 * x = $2x
So, adding the extra $4; the amount saved will be;
2x + 4
please help! math! 10 points was the max:(
will give brainliest!!
It's gonna be an irrational number because the length of the hypotenuse is 6.40312....... cm
[tex] {4}^{2} + {5}^{2} = {41}^{2} [/tex]
[tex] \sqrt{41} = 6.403124237[/tex]
An irrational number cannot be written as a simple fraction and the decimals would keep on going without a pattern (if it was repeating, it would be rational).
Answer:
If the legs are equal to 4 cm and 5 cm, respectively we can rewrite the equation 42+52=c2 -> 16+25=41=c^2 so then, c= the square root of 41, which is an irrational number.
Hope this helps!
Factor the following using identities wherever necessary
1) x² + 8x
2) x2 - 4x
3) x² + x - 2
4) x2 - 9
5) x² + 22x + 121
6) x² - 8x + 16
Answer:
1. x(x+8)
2. x(x−4)
3. (x−1)(x+2)
4.(x+3)(x−3)
5. (x+11)(x+11)
6. (x−4)(x−4)
Step-by-step explanation:
[tex] \sqrt{8} [/tex]
[tex] \sqrt{8} =2 \sqrt{2} [/tex]
Explanation :[tex] \sqrt{8} [/tex]
[tex] = \sqrt{(4 \times 2)} [/tex]
[tex] = \sqrt{4} \times \sqrt{2} [/tex]
[tex] = 2 \sqrt{2} [/tex]
For each expression, use the Distributive Property to write an equivalent expression.
Answer:
a) 4(r+2) = (r+2)4
b) (6-8)•r = r•(6-8)
c) 8r+12 = 12+8r
d) 6x-9y = 9y-6x
e) 6x-4y-2z = 2z-4y-6x
Step-by-step explanation:
It's the same equation but its backwards
Hope this helps
10 chefs can prepare a meal for 536 people in
8 hours. Assuming that the chefs cook at the
same rate and that the rate at which they cook
remains constant throughout the preparation,
find the number of people 22 cheis can prepare
a meal for in 5 hours.
[WARNING: If you say "I don't know" you will not be given brainliest!]
I have a calculator that can display ten digits. How many different ten-digit numbers can I type using just the 0-9 keys once each, and moving from one keypress to the next using the knight’s move in chess? (In chess, the knight move in an L-shape – one square up and two across, two squares down and one across, two squares up and one across, and other like combinations)
Answer:
It has to start on 5 and then go to 0, or else not all of the numbers will go in the knight move pattern.
We have 5034927618 and 5038167294, plus their opposites (the same number backwards). So only 4 numbers can be formed.
Step-by-step explanation:
The act of factoring is to reduce numbers down to their____.
The act of factoring is to reduce numbers down to their prime number.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
A prime number is a positive integer having exactly two factors that are 1 and the number itself. Any number that does not follow this is termed a composite number.
For example:
Let the number 2310, then the factor of the number 2310 will be
2310 = 2 × 3 × 5 × 7 × 11
Where, 2, 3, 5, 7, and 11 are the prime numbers.
The act of factoring is to reduce numbers down to their prime number.
More about the factorization link is given below.
https://brainly.com/question/6810544
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which system of equations graphed below has a solution of (2,1)
Answer:
Sorry to say this... but neither of them have a solution of (2,1)
Step-by-step explanation:
The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...
help plz i’ll give extra points
Answer:
1/1
Step-by-step explanation:
cause i just did it llamo
The cube root parent function is reflected across the x-axis,vertically stretched by a factor of 3
How many TERMS are there in 8.4n - 3.2p?
How would you express the area of the rectangle using the Distributive Property?
Answer:
C
Step-by-step explanation:
Step 1: Find your legth and width
Length = x + 5
Width = 3
Step 2: Use area formula to find area
l x w = A
(x + 5) x 3 = A
A = 3(x+5)
Step 3: Therefore Statement
Thereforethe answer to the question is C. 3(x+5)
Answer:
C. 3(x + 5)
Step-by-step explanation:
area of rectangle = length * width = width * length
A = area of largest rectangle
a1 = area of left rectangle
a2 = area of right triangle
The largest rectangle is made up of the the two smaller rectangles.
A = a1 + a2
Left rectangle: a1 = WL = 3x
Right rectangle: a2 = WL = 3 * 5
Total area of the two small rectangles:
A = a1 + a2 = 3x + 3 * 5
Apply the distributive property in reverse to 3x + 3 * 5 by factoring out a 3:
A = 3x + 3 * 5 = 3(x + 5)
The area of the largest rectangle is 3(x + 5)
We can also find an expression for the area of the largest rectangle directly by looking at its length and width.
The length of the largest rectangle is x + 5.
The width of the largest rectangle is 3.
A = WL
Substitute 3 for W, the width.
Substitute x + 5 for L, the length.
A = 3(x + 5)
Answer: C. 3(x + 5)
Which ordered pair is a solution of the equation? 5x+2y=12
Answer:d
Step-by-step explanation:i dont know
Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 700 kW in a 12 m/s wind, how much power does it generate in a 6 m/s wind?
(The formula for P as a power function of v is P = a ⋅ v3.
A. 88 kW
B. 175 kW
C. 125 kW
D. 1050 kW
Answer:
New power = 88 Kw (Approx.)
Step-by-step explanation:
Given:
P = a(v³)
Old power p = 700 Kw
Old wind speed v = 12 m/s
Find:
New power when v = 6m/s
Computation:
P = a(v³)
700 = a(12³)
a = 0.4050 m²
New power = a(v³)
New power = (0.4050)(6³)
New power = 87.48
New power = 88 Kw (Approx.)
Find the geometric mean between 4 and 6. (Always simplify the radical completely.)
Answer:
Use the formula to find the geometric mean.
√
4
⋅
6
Multiply
4
by
6
.
√
24
Rewrite
24
as
2
2
⋅
6
.
Tap for more steps...
√
2
2
⋅
6
Pull terms out from under the radical.
2
√
6
Approximate the result.
4.89897948
The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.
4.9
Solve using substitution.
y = -9x - 10
y = -2x + 4
Answer:
1.444444444444444444? I tried
Answer:
X= -2
Y= 8
im not sure if thats the way u needed
When taking notes from a book, story, or other selection the source should be?
A. simple
B. dependable
C. easy to copy
Answer:
b
Step-by-step explanation:
Answer:
B. dependable
Step-by-step explanation:
well good luck
Write an equation in point-slope form of the line that passes through the points (2,4) and has the slope of 7
Answer:
y-4=7(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-4=7(x-2)
A smartphone has a screen that has a width of x and a height that is 1.8 times the width. The outer dimensions of the phone are shown.
Write an expression for the portion of the phone that is not occupied by the screen. Assume that the phone is rectangular.
Answer: 4.8x+3
Step-by-step explanation:
The portion of the phone that is not occupied by the screen is 4.9x + 3 cm².
What is Surface Area?For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including sphere, cube, cuboid, cone, cylinder, etc. Each form has its own volume and surface area. Nevertheless, we can only estimate the area that two-dimensional figures like a square, circle, rectangle, triangle, etc. cover; there is no volume available.
As per the given data:
The width of the screen = x cm
Height of the screen = 1.9 times the width = 1.9x
Dimensions of the phone are given in the diagram.
The area of the screen = height × width
= 1.9x × x = 1.9x² cm²
The area of the phone = (1.9x + 3)(x + 1)
= 1.9x² + 1.9x + 3x + 3
= 1.9x² + 4.9x + 3 cm²
Area of the phone not occupied by screen:
= area of the phone - area of the screen
= 1.9x² + 4.9x + 3 - 1.9x²
= 4.9x + 3 cm²
Hence, the portion of the phone that is not occupied by the screen is 4.9x + 3 cm².
To learn more about surface area, click:
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(The given question is incomplete, the complete question is given below)
Find the values of x and y. Write your answer in simplest form.
5
Х
150°
The value of x is
The value of y is
Select the three equations that have
Y= 8.1 as the solution.
Y + 2.9 = 11
12 - y = 8.1
2y + 1 = 17.2
9 + 7.2 - y = 8.2
28.4 - y = 20.3
Answer:y+2.9=11, 2y+1=17.2, 28.4-y=20.3
Step-by-step explanation:
Answer:
Select all of the equations that have y=8.1 as the solution. Mark all that apply.
y+2.9=11
12-y=8.1
2y+1=17.2
9+7.2-y=8.2
28.4-y=20.3
Step-by-step explanation:
Select all of the equations that have y=8.1 as the solution. Mark all that apply.
y+2.9=11
12-y=8.1
2y+1=17.2
9+7.2-y=8.2
28.4-y=20.3
The maximum distance (in nautical miles) that a radio transmitter signal can be sent is represented by the expression 1.23h√
, where h
is the height (in feet) above the transmitter.
Estimate the maximum distance x
(in nautical miles) between the plane that is receiving the signal and the transmitter. Round your answer to the nearest tenth.
Answer:
182.4
this website deleted my paragraph... TLDR; 182.4 is the answer
$9.27 for 48 oz of taco meat
Answer:
Need more info to answer your question!
Step-by-step explanation:
A drain empties a bathtub at a rate of 0.5 gallons per minute. A
30-gallon tub was full and the shower head was turned off,
how long would it take the tub to empty through the partly
unplugged drain?
what is the first six terms of the sequence f(n)=(-3)^n
Answer:
The first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:
[tex]-3, 9, -27, 81, -243, 729[/tex]
Step-by-step explanation:
Given the sequence
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
Here [tex]n[/tex] represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]\:f\left(1\right)=\left(-3\right)^1[/tex]
[tex]f\left(1\right)=-3[/tex]
Thus, the first term is -3.
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]\:f\left(2\right)=\left(-3\right)^2[/tex]
[tex]\:f\left(2\right)=9[/tex]
Thus, the 2nd term is 9.
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(3\right)=\left(-3\right)^3[/tex]
[tex]f\left(3\right)=-27[/tex]
Thus, the 3rd term is -27.
Determining the 4th term
substitute n = 4 in the sequence to determine the 4th term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(4\right)=\left(-3\right)^4[/tex]
[tex]f\left(4\right)=81[/tex]
Thus, the 4th term is 81.
Determining the 5th term
substitute n = 5 in the sequence to determine the 5th term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(5\right)=\left(-3\right)^5[/tex]
[tex]f\left(5\right)=-243[/tex]
Thus, the 5th term is -243.
Determining the 6th term
substitute n = 6 in the sequence to determine the 6th term
[tex]f\left(n\right)=\left(-3\right)^n[/tex]
[tex]f\left(6\right)=\left(-3\right)^6[/tex]
[tex]f\left(6\right)=729[/tex]
Thus, the 6th term is 729
Therefore, the first six terms of the sequence [tex]f\left(n\right)=\left(-3\right)^n[/tex] are:
[tex]-3, 9, -27, 81, -243, 729[/tex]
Workers in an office of 60 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away Frequency Angle
Pizza 14
a
Curry 6
b
Fish & chips 4
c
Kebab 14
d
Other 22
e
Work out the size of each angle to draw a pie chart.
a
=
b
=
c
=
d
=
e
=
Answer:
a = 84°
b = 36°
c = 24°
d = 84°
e = 132°
Step-by-step explanation:
The parameters of the workers in the office are;
The number of staffs in the office = 60 staffs
The take-aways are pizza, curry, fish & chips, kebab and other
The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively
The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively
In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;
∠a = 360° × 14/60 = 84°
∠b = 360° × 6/60 = 36°
∠c = 360° × 4/60 = 24°
∠d = 360° × 14/60 = 84°
∠e = 360° × 22/60 = 132°
Please help me. .....
Answer:
24 pounds
Step-by-step explanation:
Step 1: Find out how many pens he bought
12 pens per pack
Charles bought 60 packs
60 packs x 12 pens = 720 pens
Step 2: Find out how much Charles spent
2.80 per pack
Charles bought 60 packs
60 x 2.80 = 168 pounds
Step 3: Find out how many pens Charles sold
Charles sold 2/3 of his pens
2/3 x 720 = 480
Step 4: Find out how manypens he sold
Charles sold the pens for 40p
40p x 480 = 19200p
Step 5: Convert pences to pounds
19200p = 192 pounds
Step 6: Find the profit
192 - 168 = 24 pounds
Step 7: Therefore statement
Therefore he mad 24 pounds of profit