When the number of people is multiplied by 4, the number of pizzas is multiplied by 4.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a proportional relationship can be modeled by the following mathematical expression:
y = kx
Where:
x represents the number of people.y represents the number of pizzas needed.k represents the constant of proportionality.If the x-value is multiplied by 4, we have:
x = 5 × 4
x = 20
From the corresponding y-value for 20 is equal to 8 and as such the number of pizzas needed should be multiplied by 4, in order to produce an equivalent ratio.
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Pls help asap
Number 3
Answer:
No
Step-by-step explanation:
The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.
34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.
34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).
Which of the following represents an equation in standard form for the line that passes through (3, -1) and (-5, -3).
O A y-tx-1
OB 7x-4y = 1
OC. x - 4y = 7
D 4x-y=7
Answer:
Step-by-step explanation:
y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)
What is Slope intercept form?
y=mx=c is the slope intercept form of a line, m is the slope.
We need to find equation of line passing through (3, −1) and (−5, −3)
First we need to calculate slope 'm'.
slope m = y2- y1 / x2-x1
y2=-3, y1=-1, x2=-5, x1=3
m= -3 - (-1)/(-5)-3 = -2/-8=1/4
Equation of line, y=mx+c
find C in the equation (y=mx+c)
C = y-mx
C = -1-1/4(3)= -7/4
now replace the values you find in the equation (y=Mx+C)
y =1/4x-7/4
Hence y =1/4x-7/4 is the equation of line passes through (3, −1) and (−5, −3).
Two planes are parallel and each plane contains a line. Are the two lines skew? Explain your reasoning.
If Two planes are parallel and each plane contains a line, the two lines are not skew because In the event that any two lines fall on a single plane, they will either intersect or be parallel to one another. Both instances violate the concept of a skew line because the skew lines are neither parallel nor intersect.
Do two parallel lines on a plane have a skew?Infinitely many lines cross through, yet only one of them is parallel to. Lines that never intersect and are in distinct planes are known as skew lines. Parallel lines and skew lines are distinguished by the fact that they both reside in the same plane, whereas skew lines do not.
The two lines would overlap at some point if the two planes on which they are located weren't parallel, which again defies the definition of skew lines.
Therefore, The skew lines are thus present if and only if both lines fall on a pair of parallel planes.
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[tex]\sqrt{|x|^2} =x[/tex]
Answer?
The solution to the equation given as √|x|² = x is x ≥ 0
How to solve the equation?From the question, the representation of the equation is given as
√|x|² = x
To start with;
We evaluate the square root expression in the equation
So, we have the following representation
|x| = x
The above implies that the absolute value of a number equals the number
As a general rule of absolute values, the absolute value of a number is positive
This can be represented as
x ≥ 0
Hence, the solution to the equation is x ≥ 0
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16 divided by the sum of 2 and 6
Answer:
Step-by-step explanation:
16/(2+6)
16/8=2
i need help also i don't know what to do with x. 3(4x-12) = 84
Answer:
x=10
Step-by-step explanation:
3(4x-12)=84
12x-36=84
+36. +36
12x=120
/12. /12
x=10
Hopes this helps please mark brainliest
The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
The range of the function g, given the premises for f(x) = |x| and a < 0 while b ≠ 0 is; the set of all real numbers.
Range of a functionIt follows from the task content that the range of the function g(x) = a|x| + b is to be determined given the parameters as in the task content.
Since the function f(x) = |x| has a range of y ≥ 0, and a is a negative number ( < 0), it therefore means that the a|x| is always a number less than 0 (<0).
However, the possible values of constant, b include all real numbers except 0.
On this note, the function g(x) = a|x| + b has a range which is the set of all real numbers. This is so because, g(x) > 0 when a|x| < b and g(x) < 0 when a|x| > b.
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Find the values of x and y that satisfy the equation.
22 + 1/5yi = 2x - 2
Answer:
[tex]x=12, y=0[/tex]
Step-by-step explanation:
[tex]22+\frac{1}{5}yi=2x-2 \\ \\ (24-2x)+\frac{1}{5}yi[/tex]=0[/tex]
Setting the real and imaginary parts of the left hand side equal to 0,
[tex]24-2x=0 \implies x=12 \\ \\ \frac{1}{5}y=0 \implies y=0[/tex]
The dimensions of two rectangular prisms are shown below. How much more volume does the larger prism have than the smaller prism?
Answer:16/25 :D
Step-by-step explanation:does that help :3
if 269 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? round your answer to four decimal places.
The probability will be 0.9940.
The provided parameters are
p = 0.05 (the true proportion or the mean )
n = 269 ( sample size )
we can calculate standard deviation as follows
σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
σ = 0.0132
Now the values that 'x' can take are
x = [tex]x_{1}[/tex] ± [tex]x_{2}[/tex]
x = 0.05 + 0.03, 0.05 - 0.03
x = 0.08 , 0.02
Also the z-score is
z = (x - μ)/σ
z = [tex]\frac{0.08-0.05}{0.0132}[/tex] , [tex]\frac{0.02-0.05}{0.0132}[/tex]
z = 2.27 , -2.27
we now find the p-values for the z-scores
p values are = 0.9970 , 0.0030
The difference in these values will give the probability
∴ P = 0.9970 - 0.0030
P = 0.9940
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One bulldozer clears land twice as fast as another. Together they clear a large tract in 1.5 hours. How long would the larger bulldozer take?
The larger bulldozer would take about 30 minutes.
If I am wrong please let me know by commenting on this answer!
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Write the polynomial in standard form. Then
name the polynomial based on its degree and number of terms.
3. g-6g³+10g²-3
a. 6g³-10g²+g-3; cubic trinomial
b. -3+g+10g²-6g³; cubic binomial
c. -6g³+10g²+g-3; cubic polynomial
d. 10g³-6g²+g-3; quadratic binomial
Lol help quick pleaseeeeeeeeee
The answer to be entered in the boxes for the area model is 17, 0 and 17
How to find the division problem the area model represents?
An area model is a rectangular diagram or model used for solving multiplication and division problems, in which the quotient and divisor define the length and width of the rectangle
Given:
....60.....1.............
36|2160 | 36 | 17
2160 ÷ 36 = 60 R 0
36 ÷ 36 = 1 R 0
17 ÷ 36 = 0 R 17
Note: (0 x 36) + 17 = 17
Therefore, the answer to be entered in the boxes is 17, 0 and 17 respectively
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Is there any evidence to prove m and n are parallel
Im not sure how to do this, could one of you give me the answer on how to do this?
Answer:
2x+4=52
2x+19=67
2x+13=61
(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)
x=24
Step-by-step explanation:
the sum of all three angles is equal to 180 degrees
So we can add all of these angles and set it equal to 180 like this
(2x+19)+(2x+4)+(2x+13)=180
Simplify by adding common terms
6x+36=180
-36. -36
6x=144
/6. /6
x=24
So now to find the angles we just fill in x with 24
2(24)+4
48+4
52
2(24)+19
48+19
67
2(24)+13
48+13
61
Hopes this helps please mark brainliest
What is the value of y in the equation 2(2y − 16) = 0? (5 points)
a 4
b 6
c 8
d 9
Answer:
the options are wrong
Step-by-step explanation:
open the bracket2(2y)2(-16)=04y-32=0make y the subject of formulary=-32÷4y=-8Answer:
C. 8
Step-by-step explanation:
2 x 8 = 16
16 - 16 = 0
2 x 0 = 0
Find the product of 3 1/4 and 1/2
The product of the improper fraction 3 1/4 and 1/2 is 1 5/8.
What is mixed fraction?
A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. a fraction when the denominator (bottom number) and the numerator (top number) are both more than or equal (the bottom number). When the numerator is equal to or more than the denominator, the fraction is said to be improper fraction. It always has a value of one or higher.
Here the given fraction 3 1/4 convert into 13/4.
Now the product of the fractions is
=> 13/4 × 1/2
=> 13/8
=> 1 5/8.
Therefore product of the given fraction is 1 5/8.
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Add/Subtract Rational Numbers :
Add ; -1/2 + 2/3 (Simplify)
Evaluate ; -1/8 - (-5/6) (Simplify)
Which of the following expressions represents the distance between -3/4 and -0.2 on a number line?
The expression that represents the distance between -3/4 and -0.2 on a number line is |-3/4 + 0.2|
What is distance?The distance between points on a number line is the number of units or points between these points
How to determine the distance?From the question, we have the following parameters that can be used in our computation:
Distance between -3/4 and -0.2 on a number line
This means that
Endpoints = -3/4 and -0.2
These endpoints can be represented as
Endpoint 1 = -3/4
Endpoint 2 = -0.2
The distance between these endpoints is then calculated as
Distance = |Endpoint 1 - Endpoint 2|
Substitute the known values in the above equation, so, we have the following representation
Distance = |-3/4 - -0.2|
Evaluate the difference
Distance = |-3/4 + 0.2|
Hence, the distance expression is |-3/4 + 0.2|
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The shaded area below is 79 m².
Work out the area of the smaller rectangle.
If your answer is a decimal, give it to 2 d.p.
x+4 m
x + 3 m
x+2m
2x+5 m
Not drawn accurately
Answer:
[tex](x + 4)(2x + 5) - (x + 3)(x + 2) = 79 \\ 2x {}^{2} + 5x + 8x + 20 - {x}^{2} - 2x - 3x - 6 = 79 \\ {x}^{2} + 8x + 14 = 79 \\ {x}^{2} + 8x - 65 = 0 \\ {x}^{2} + 13x - 5x - 65 = 0 \\ x(x + 13) - 5( x + 13) = 0 \\ (x - 5)(x + 13) = 0[/tex]
x-5=0
x=5
the length of smaller rectangle= 8 m
and breadth of s. rectangle= 7 m
l x b = 8 x 7
[tex]56 {m}^{2} [/tex]
hopefully this will u
Is g = 10 a solution to the inequality below?
g≤ 4
yes
Submit
S
Answer:
yes it is
atleat i think
Find the length and the width.
Answer:
Length would be 6ft
Width would be 4ft
Step-by-step explanation:
24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.
sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1
Answer:
sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1
Dividing the polynomial P(x) by x + 2 yields a quotient Q(x) and a remainder of 8. If Q(2) = 5, find P(-2) and p(2)
================================================
Explanation:
Part A) Find P(-2)
We'll divide P(x) over (x+2) to get a quotient Q(x) and remainder 8 like so
P(x)/(x+2) = quotient + remainder/(x+2)
P(x)/(x+2) = Q(x) + 8/(x+2)
When multiplying both sides by (x+2), it clears out the fractions and we're left with this
P(x) = (x+2)*Q(x) + 8
From here, plug in x = -2 and simplify
P(x) = (x+2)*Q(x) + 8
P(-2) = (-2+2)*Q(-2) + 8
P(-2) = (0)*Q(-2) + 8
P(-2) = 0 + 8
P(-2) = 8
Luckily we don't need the value of Q(-2) since it cancels out with the zero.
-----------------------------------
Part B) Find P(2)
This time we'll plug in x = 2 and we'll get...
P(x) = (x+2)*Q(x) + 8
P(2) = (2+2)*Q(2) + 8
P(2) = 4*Q(2) + 8
P(2) = 4*5 + 8
P(2) = 20+8
P(2) = 28
please help what is the answer and how do you do it
Slope:
Y-intercept
Equation:
y-intercept: (0,60)
This is given in the table.
Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Using (1,50) and (2,40):
[tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]
The slope is -10.
Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:
y = -10x + 60
multiply
(−5 2/5) ⋅ 3 7/10.
a. −19 49/50
b. −15 7/25
c. −9 1/10
d. −1 7/10
Answer: -19 49/50 ==> a
Step-by-step explanation:
(−5 2/5) ⋅ 3 7/10=
(−5 - 2/5) ⋅ (3 + 7/10)=
(−25/5 - 2/5) ⋅ (30/10 + 7/10)= ==> make the terms have like denominators
((-25-2)/5) ⋅ ((30+7)/10)=
-27/5 ⋅ 37/10 =
-27 ⋅ 37 / (5 ⋅ 10) =
-999/50=
(-950-49)/50=
-950/50 - 49/50=
-19 - 49/50=-19 49/50 ==> a
The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
The correct statement regarding whether the graph is a one-to-one function is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
What is an one-to-one function?An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.
These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.
From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Missing InformationThe problem asks for the correct statement regarding the function given on the image at the end of the answer.
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Expand and Simplify (x+5)(x-2)
Answer:
[tex]x^2+3x-10[/tex]
Step-by-step explanation:
To expand you must do this:
[tex]x*x+(-2x)+(5x)-10\\x^2-2x+5x-10\\x^2+3x-10[/tex]
Can anyone write the equation of this graph?
The absolute value equation graphed is defined by the rule given as follows:
y = |x - 3| + 6.
What is the function graphed?The function graphed is an absolute value equation, due to it's v format.
The equation that represents an absolute value function with vertex (h,k) is given by the rule presented as follows:
y = |x - h| + k.
On the graph, this vertex is the turning point of the absolute value function.
For the graphed function, the coordinates of the vertex are given as follows:
x = 3, as the turning point of the graphed function has an horizontal coordinate of 3, hence h = x = 3.y = 6, as the turning point of the graphed function has a vertical coordinate of 6, hence k = y = 6.Then the coordinates of the vertex are:
(3,6).
The equation of the graphed absolute value function is:
y = |x - 3| + 6.
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