The expression for the statement "the sum of thirteen and twice a number" will be given by 13 + 2 x.
We are given a statement:
The sum of thirteen and twice a number.
We need to make an expression for the statement that is being given to us.
Now, first we will let the unknown number be x.
So, twice of a number x will be written as:
2 × x
= 2 x
Now the sum of 13 and 2 x will be written as:
13 + 2 x
Therefore, we get that, the expression for the statement "the sum of thirteen and twice a number" will be given by 13 + 2 x.
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Daniel works at least 30 hours a week. He works as a math tutor and as a teacher. The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x). •Write a set of inequalities that represents the constraints of the situation and state a point (x,y) that is the feasible region.
The set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)
How to write the set of inequalities that represents the constraints of the situation and state a point (x, y) that is the feasible region.The given parameters are:
Number of hours = at least 30 hours a week
This means that
x + y ≥ 30
Also, we have:
The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x).
This means that
y ≤ 2x
Substitute y ≤ 2x in x + y ≥ 30
x + 2x ≥ 30
This gives
3x ≥ 30
Divide
x ≥ 10
Substitute x ≥ 10 in y ≤ 2x
y ≤ 2 x 10
Evaluate
y ≤ 20
Hence, the set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)
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1. true or false?
2.true or false?
3.true or false?
4.true or false?
(don’t mind the circled answers)
Answer:
1. true
2. false
3. false
4. true
Step-by-step explanation:
PLEASE HELP I'LL GIVE BRAINLIEST
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer: the first table with all 2s as its y values
Step-by-step explanation: the first table shows that no matter what the x value is, the graph is staying still at y=2. Its rise/run is 0 since it is not rising at all.
Answer:
The first column of the first chart due to the repetition of the numbers! hope this helps!
The cost of 20 cans of dog food at Store B is $18.40?
Calculate the price for 11 cans of dog food.
The cost of 11 cans of dog food will be equal to $10.12.
What is unitary method ?
The unitary method is a method in which , you first determine the value of a single unit before determining the value of the required quantity of units.
It is given that the cost of 20 cans of dog food at store B is $18.40.
We need to find cost of 1 can of dog food and that can be calculated by dividing the cost of cans of dog food by total no. of cans.
i.e.,
Cost of 1 can of dog food = $ 18.40 ÷ 20
So ,
The cost of 1 can of dog food will be :
= $0.92
Now , the cost of 11 cans of dog of food will be calculated by multiplying cost of 1 can of food to 11 cans of dog food which will be :
= 11 × $ 0.92
= $10.12
Therefore , the cost of 11 cans of dog food will be equal to $10.12 .
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1+1 =3
thế 1239479823749082+2321887349274971+282715371864791-168492614916=
Answer:
3.8439141e+15
hey could someone help me understand this i'm confused.
Check the picture below.
Find the distance CD rounded to
the nearest tenth.
C (7,-4) and D = (-8,-5)
CD= [?]
HINT: Use the distance formula:
d = √(x₂-x₁)² + (y2-Y₁)²
Round your answer to the tenths place.
The distance between two points [tex](x_{1}, y_{1} )[/tex] and [tex](x_{2} ,y_{2})[/tex] is given by
[tex]d = \sqrt{ (x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }[/tex] …(1)
Given points are:
C = (7,-4) = [tex](x_{1}, y_{1} )[/tex]
D = (-8,-5) = [tex](x_{2} ,y_{2})[/tex]
Substituting the values in equation (1), we get
[tex]CD = \sqrt{ (-8-7)^{2} +(-5-(-4))^{2} }[/tex]
[tex]CD = \sqrt{ (-15)^{2} +(-1)^{2} }[/tex]
[tex]CD = \sqrt{{ 225} +1 }[/tex]
[tex]CD = \sqrt{{ 226 }[/tex]
[tex]CD = 15.03}[/tex]
After Rounding it to nearest tenth, we get
CD = 15 units
Hence, the distance between the points (7,-4) and (-8,-5) is 15 units.
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a second sheet of paper is half as long and half as wide as the one described in part a. by what factor is its area less than the area found in part a? chegg
The factor of its area less than the initial area is 1/4
How to determine the factor of its area less than the initial area?The given parameters can be represented as:
Second sheet = 1/2 * The first sheet
Assume the sheet is rectangular, the area of the sheet is calculated as:
Area = Length * Width
So, the area of the second sheet is
Second sheet = 1/2Length * 1/2Width
This gives
Second sheet = 1/4(Length * Width)
So, we have:
Second sheet = 1/4 * First sheet
Hence, the factor of its area less than the initial area is 1/4
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How do i solve these types of problems?
Answer: 49 & 82
Step-by-step explanation:
*the total degrees for each triangle is 180 degrees
9) Start with the triangle furthest left- subtract 71 and 57 both from 180. That leaves you with 52 degrees for that third angle. The angles that all make a straight line or straight angle add up to 180 degrees as well. Now, subtract the 52 and 65 from 180, which leaves you with 63 degrees for the first angle in the second triangle. Now subtract the 63 and 68 from 180, which leaves you with 49 degrees for that answer.
10) For this one, you will start with the triangle further right, since it already has two angles shown. Subtract the 85 and 35 from 180, which gives you 60 degrees for that third angle. Then, you can use the vertical angles to fill in its opposite angle in the first triangle (vertical angles are equal). This means that the first triangle has angles of 38 and 60 degrees, so subtract those both from 180, giving you 82 degrees for that answer.
Can someone help me with this
Answer:
p) zero
q) 10,559.5
r) from $37,001 to $87,000
Step-by-step explanation:
p) zero
q) Tax = 3,572 + (58,500 - 37,000)(0.325)
= 3,572 + 6,987.5
= 10,559.5
r) from $37,001 to $87,000
Can I have this checked?
The measure of angle JKN is 108 degrees
How to determine the measure of angle JKN?From the figure, we have the following parameters
Angle 1 equals Angle 2
Where
Angle 1 = Angle JKP = 3r + 12
Angle 2 = Angle PKN = 4r - 2
Recall that
Angle 1 equals Angle 2
So, we have
3r + 12 = 4r - 2
Evaluate the like terms
r = 14
Substitute r = 14 in Angle 1 = Angle JKP = 3r + 12 and Angle 2 = Angle PKN = 4r - 2
Angle 1 = Angle JKP = 3 * 14 + 12 = 54
Angle 2 = Angle PKN = 4 * 14 - 2 = 54
The measure of angle JKN is calculated as
Angle JKN = Angle 1 + Angle 2
So, we have
Angle JKN = 54 + 54
Evaluate
Angle JKN = 108
Hence, the measure of angle JKN is 108 degrees
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Three arithmetic means between 12 and 44
The three arithmetic means between 12 and 44 are -
20, 26, 36.
We have two numbers 12 and 44.
We have to determine the three arithmetic mean between these numbers.
What is Arithmetic Mean ?Assume that x, y and z are in AP, then -
y - x = z - y
2y = x + z
y = (x + z)/2
Here - y is called the arithmetic mean of x and z.
According to the question -
Assume that the three arithmetic means between the two numbers are -
12, a, b, c, 44
Then -
12 , 12 + d, 12 + 2d, 12 + 3d, 44
will be an AP with common difference 'd'.
Now, we have -
a[5] = 44
Using the formula for nth term of an AP, we get -
a + (n - 1)d = 44
12 + 4d = 44
4d = 32
d = 8
Therefore, the three arithmetic means are -
12 + 8 = 20
12 + 2 x 8 = 26
12 + 3 x 8 = 36
Hence, the three arithmetic means between 12 and 44 are -
20, 26, 36
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Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
Can anyone help with solving this?
Answer:
A=l×b
A=20×14
A=280
tan(90)=14/aq
aq×tan(90)=14/aq×as
aqtan(90)=14
aqtan(90)/tan(90)=14/tan(90)
aq=0.16
The temperature today was 82° last year on this day the temperature was 71 what was the change in temperature
The change in the temperature is 11°.
What is temperature ?Temperature is the physical quantity which describes, how much hot is something? Or we can say it is the quantity which measures the hotness and coldness of something. There are two main quantity values to measure the temperature which are Celsius and Fahrenheit.
Mathematically we can write :
1° Celsius = 32 Fahrenheit
How to find temperature change ?Suppose if we have temperature of two difference time space then we can easily find the difference between the two by simply subtracting them.
For the given question,
last year temperature = 82 degree
temperature today = 71 degree
therefore the change in the temperature in one year is :
82 - 71 = 11 degree.
Thus , the change in temperature is 11 degree.
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Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of
x
x that support your conclusion.
−5x=35
what is the equation?
HELP PLEASE WITH THIS MATH
Answer:
Shapes S and D are congruent because they are both parallel to the line. Shapes M and S have the same area since they both cover 6 triangles.
Step-by-step explanation:
help me please 4+(−1/2/3)
Answer is 7/3
Step-by-step explanation:
Answer:
[tex]\frac{23}{6}[/tex] or 3.833333...
Hope this helps
Step-by-step explanation:
[tex]4+(-\frac{1}{2} *\frac{1}{3} )\\\\4+ (-\frac{1}{6} )\\\\4-\frac{1}{6} \\\\\frac{24}{6} -\frac{1}{6} \\\\\frac{23}{6}[/tex]
Given f(x) = 5x? + 2 and g(x) = 8 - 3x, find the following.
12. Find g[f(-2)].
11. Find flg(x)).
Value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:
a. g(f(-2)) =32
b. f(g(x)) =42 -15x
As given in the question,
Given function:
f(x) = 5x + 2
g(x) = 8 - 3x
Value of the function for the following condition:
a. g(f(-2))
f(x) = 5x + 2
⇒f(-2) = 5(-2) + 2
⇒f(-2) = -8
g(f(-2))= g(-8)
= 8 - 3(-8)
= 32
b. f(g(x)) = f(8-3x)
= 5(8 -3x) + 2
=42 -15x
Therefore, value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:
a. g(f(-2)) =32
b. f(g(x)) =42 -15x
The complete question is :
Given function f(x) = 5x + 2 and g(x) = 8 - 3x, find the following value.
a. Find g[f(-2)].
b. Find f(g(x)).
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i really need help with this someone pls help
Answer: D=(8,10) Y=(-2,6) N=(2,-6) U=(-8,-5) G=(8,-11) O=(4,-5)
Step-by-step explanation:
On the coordinate plane, left or down means decreasing in value and right or up means increasing in value.
if you take a point and it's at (1,2) and translate it 3 to the left and 4 upwards, your new point would be (-2,6). This is because you subtracted(cause you were going left) 3 from 1 (cause it's your x value), and added(cause you were going up) 4 to 2 (cause it's your y value.)
8.a) A tree of 14m height is broken by the wind so that its touch touches the ground and makes an angle of 60 with ground. Find the length ot broken part of tree .please help for brainliest.
Answer:6.5m
Step-by-step explanation:
The length of a rectangle is 3 more than twice the width. the perimeter is 36 inches. what is the area?
If the length of a rectangle is 3 more than twice the width and the perimeter is 36 inches, then the area of the rectangle is equal to 65 in².
The length and width of the rectangle can be determined by using the formula for the perimeter of the rectangle,
P = ( L + W ) × 2
P = 2L + 2W
Here L is equal to the length of the rectangle and W is the width of the rectangle.
As the length is 3 more than twice the width, we can write the length of the rectangle as,
L = 3 + 2W
Putting L = 3 + 2W in the equation of perimeter,
P = 2L + 2W
As P = 36
36 = 2( 3 + 2W) + 2W
36 = 6 + 4W + 2W
6W = 30
W = 30 ÷ 6
W = 5
The length of the rectangle can be found by putting W = 5 in the equation,
L = 3 + 2W
L = 3 + 2(5)
L= 3 + 10
L = 13
Therefore, the length and width of the rectangle are equal to 13 and 5 respectively
As, area = width × length
area = 5 × 13
area = 65
Hence, the area of the rectangle is equal to 65 square inches.
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Write 42 900 000 in standard form
Answer:33.1
Step-by-step explanation: 3.61 × 10-3 =33.1
Step-by-step explanation:
429 × 10⁷
hopefully it will help you
Sascha sells 80 printed placemats and earns a profit of $12. She plans to sell 500 placemats at the fair. How much profit will she earn if she sells 500 placemats?
Answer:
75
Step-by-step explanation:
Each placemat is .15 cents
500 x .15
One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?
The quadratic equation with a repeated root is:
8*x^2 - 32*x +32
And the repeated root is x = 2
What is the repeated root?For a quadratic equation:
0 = a*x^2 + b*x + c
We define the discriminant as:
D = b^2 - 4ac
If D = 0, we have only one real root (or two repeated roots). Then we just need to see which of the given quadratic equations has a discriminant of zero.
1) -x^2 + 18x + 81
The discriminant is:
D = 18^2 - 4*(-1)*81 = 648
2) 3x^2 - 6x + 9
The discriminant is:
D = (-6)^2 - 4*3*9 = -72
3) 8*x^2 - 32*x +32
The discriminant is:
D = (-32)^2 - 4*8*32 = 0
So this is the one with a discriminant of zero.
The roots are given by:
8*x^2 - 32*x +32 = 0
Using Bhaskara's formula we will get:
x = (- (-32) ± √( (-32)^2 - 4*8*32))/(2*8)
x = (32/16) = 2
The repeated root is x = 2
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WILL GIVE BRAINLIEST need help asap
What will be the location of the y value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( -17, -3)
Answer:
(-13, -10)
Step-by-step explanation:
Your original point is (-17, -13) The instruct tell you to move the point 4 units to the right and down 7 units.
-17 + 4 = -13
-3 - 7 = -10
Find each sum or difference. Write the result in standard form.
(2.7m^2 - 3.1n) - (4n^2 + 5.1m)
The difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m
How to determine the difference
To represent the difference in standard form is leave in the power or exponent of a variable or number.
Given the expression
(2.7m^2 - 3.1n) - (4n^2 + 5.1m)
First, expand the brackets
2. 7m² - 3.1 m - 4n² - 5. 1m
Then, collect like terms
2. 7m² - 4n² - 3.1m - 5. 1m
Subtract like terms, we have
2. 7m² - 4n² - 8. 2m
The difference of the algebraic expression gives 2. 7m² - 4n² - 8. 2m
Thus, the difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m
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What is n and m? In the angle
In the given triangle , ∠n = 50° and ∠m = 35°
What is an angle ?In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.
Some common terms related to angles :
Endpoint : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.In the given question mark the triangle as ABC and the mid line as point D.
that means,
∠A = ∠n
∠B = ∠m
and, in ΔABC
∠C = 60 + 35 =95
now, as ΔCDB is isosceles triangle therefore,
∠m = ∠C = 35°
Also, as sum of all angle of triangle is 180
Therefore, ∠A + ∠B + ∠C = 180
=> ∠n + ∠m + 95 = 180
=> ∠n + 35 + 95 = 180
=> ∠n = 180- 130
=>∠n = 50
Hence in the triangle given , ∠n = 50 and ∠m = 35
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The use of electricity in the US in 1902 was 6. 03 x 10^9 kilowatt-hours.
The use of electricity in the US in 1950 was 4. 3 x 10^11 kilowatt-hours.
What was the total kilowatt-hours of electricity used during these two years?
O a
Ob
Oc
Od
(6. 03 x 10^9) + (4. 3 x 10^11)= 10. 33 x 10^20 = 1. 033 x 10^19
(6. 03 x 10^9)+(4. 3 x 10^11) = (0. 0603 x 10^11) + (4. 3 x 10^11)=4. 3603 x 10^11
(6. 03 x 10^9) x (4. 3 x 10^11) = 25. 929 x 10^20= 2. 6 x 10^19
(6. 03 x 10^9) x (4. 3 x 10^11) = 25. 929 x 10^2=2. 6 x 10^1
The total kilowatt-hours of electricity used during these two years is (6.03 x 10^9)+(4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 using arithmetic operations.
What is addition and multiplication?Addition is the sum of two or more numbers or values to get a new number. The addition symbol is the plus sign (+).
Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.
Given that the use of electricity in the US in 1902 was 6. 03 x 10^9 kilowatt-hours and in 1950, it was 4. 3 x 10^11 kilowatt-hours.
To find the total kilowatt-hours of electricity used during these two years, we must add the kilowatt-hours of electricity used in 1902 and 1950.
6. 03 x 10^9 kilowatt-hours can also be written as 0.0603 x 10^11 kilowatt-hours.
This implies, (6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11)
= (0.0603+4)10^11
= 4.3603 x 10^11 kilowatt-hours
Therefore, the total kilowatt-hours of electricity used during these two years is 4.3603 x 10^11.
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