Answer:
x = 12 and y = (3/2)
Step-by-step explanation:
"Y varies directly as x," can be written as:
y = mx
The connecting law is m, which relates how much y will change for a change in x. m is given by:
m = y/x
To find m, the slope, use the two given values for x and y:
m = y/x
m = 3/4
This yields:
y = (3/4)x
Now we can find:
X when y=9:
y = (3/4)x
9 = (3/4)x
x = (4/3)*9
x = 12
Y when x=2:
y = (3/4)x
y = (3/4)*2
y = (3/2)
For the line and point below, describe how the following equations would differ: A) A parallel line, through the given point B) A perpendicular line, through the given point (-2,1) slope 1
The linear functions would be given as follows:
a) Parallel: y = x + 3.
b) Perpendicular: y = -x - 1.
The equations have different slope and intercept.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).For item a, we consider that if two lines are parallel, they have the same slope, hence the line would also have a slope of 1, that is:
y = x + b.
From point (-2,1), we have that when x = -2, y = 1, hence we can solve and find the intercept b as follows:
1 = -2 + b
b = 3.
Hence:
y = x + 3.
For item b, we consider that if two lines are perpendicular, the multiplication of their slopes is of -1, hence:
m = -1.
Then:
y = -x + b.
From the point (-2,1), we can find b as we did above, hence:
1 = -(-2) + b
2 + b = 1
b = -1.
Hence the rule is:
y = -x - 1.
The equations have different slope and intercept, that is, their coefficients are different.
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8 Select the correct answer. Which inequality represents all the solutions of 10(3x + 2) > 7(2x - 4)? ОА. X> 4 OB. X
The given inequality is expressed as
10(3x + 2) > 7(2x - 4)
The first step is to open the brackets on each side of the inequality by multiplying the terms outside the bracket by the terms inside. Thus, we have
10 * 3x + 10 * 2 > 7 * 2x - 7 * 4
30x + 20 > 14x - 28
Collecting like terms, we have
30x - 14x > - 28 - 20
16x > - 48
Dividing both sides by 16, it becomes
16x/16 > - 48/16
x > - 3
7
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10 points
A cylindrical can holds 28 in³ of soup. If the can is 4 in. tall, what is the radius of the can to the nearest tenth of an inch?
Round your answer to the nearest hundredth. Only numbers in your answer.
(Hint: V = πr²h)
V =
type your answer...
h =
type your answer...
r =
type your answer...
The radius of the cylinder is 1.49.
What is a cylinder?
A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.
These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the cylinder.
Volume of the cylinder can be found with the help of the formula
V = πr²h, where V is the volume of the cylinder, r is the radius and h is the height.
Given,
volume of cylinder = 28
Height of the cylinder = 8
Formula of volume of cylinder is
π[tex]r^{2} h[/tex]= 28
Substitute the values
3.14([tex]r^{2}[/tex])(4)= 28
[tex]r^{2}[/tex] = 28/12.56
[tex]r^{2}[/tex] = 2.22
r = [tex]\sqrt{2.22}[/tex]
r = 1.49
Hence, the radius is given by 1.49 in.
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pls help will mark brainliest
Answer:
I think your answer is A.
Step-by-step explanation:
10=x 15=y
The amount spent is $220
so
10x +15y = 220
(1)What are the two equations to set up to solve the equation
|3x -2| =19
3x -2=
(2) Solve.
-2|2x+3| + 14≥ - 16
The two equations to set up to solve the absolute value equation given are; 3x - 2 = 19 and 3x - 2 = -19.
The solution of the inequality given; -2|2x+3| + 14 ≥ - 16 is; x ≥ 6 OR x ≤ -9.
What are the two equations to set up in order to solve the absolute value equation?It follows from absolute value equations that;
| x | = ±x
Hence, | x | = x OR | x | = -x
Ultimately, the two equations to set up are; 3x - 2 = 19 and 3x - 2 = -19.
2. Also, the equation given; -2|2x+3| + 14≥ - 16 can be solved as follows;
-2|2x+3| ≥ - 16 - 14
-2|2x+3| ≥ - 30
|2x+3| ≥ 15
Hence, the equation can be solved as;
2x + 3 ≥ 15 OR 2x + 3 ≤ -15
2x ≥ 12 OR 2x ≤ -18
x ≥ 6 OR x ≤ -9.
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What is the equation of the line that passes through the point (−7,−4) and has an undefined slope?
i neeed help again:( pweaseee help
Answer:
[tex]a) n =\dfrac{c}{d}\\\\\\b) b= 2A -a\\\\c) m_1=\dfrac{Fr^2}{Gm_2}[/tex]
d) z = 10
Step-by-step explanation:
Solve for the given variable:a)
[tex]\sf d = \dfrac{c}{n}\\\\\text{Mulitply the entire equation by 'n',}\\\\n*d=n*\dfrac{c}{n}\\\\nd =c\\\\\text{Now, divide the entire equation by 'd',}\\\\n =\dfrac{c}{d}[/tex]
b)
[tex]\sf A = \dfrac{a+b}{2}\\\\\text{Multiply the entire equation by 2,}\\\\2*A = 2*\dfrac{a+b}{2}\\\\2A = a+b\\\\\text{Now subtract 'a' from both sides,}\\\\2A - a = b\\\\\boxed{b=2A - a}[/tex]
c)
[tex]\sf F =\dfrac{Gm_1m_2}{r^2}[/tex]
Multiply the entire equation by r²,
[tex]\sf Fr^2=r^2*\dfrac{Gm_1m_2}{r^3}\\\\Fr^2=Gm_1m_2[/tex]
Divide the entire equation by Gm₂,
[tex]\sf \dfrac{Fr^2}{Gm_2}=m_1\\\\\boxed{m_1=\dfrac{Fr^2}{Gm_2}}[/tex]
D) A = 7 ; y =4
Substitute in the equation and find the other number.
[tex]\sf A = \dfrac{1}{2}(y+z)\\\\7=\dfrac{1}{2}(4+z)\\\\Multiply \ both \ sides \ by 2,\\\\7*2 = 4 +z[/tex]
14 = 4 + z
Subtract 4 from both sides,
14 - 4 = z
z = 10
Trigonometry question
Given the following function, choose the graph with the two possible angles with the domain 0[tex]\leq[/tex]0[tex]\leq[/tex]360 degrees.
1. sin0 = -2/3
2. sec0 = 2/1
3. tan0 = 4/5
4. csc0 = -3/2
5. cos0 = -3/5
The trigonometric functions sin θ = - 2 / 3 and csc θ = - 3 / 2 are related to each other in accordance with the trigonometric formula: sin θ · csc θ = 1. (Correct choices: 1, 4)
What two trigonometric functions have the same angle?
In this question we must look for two trigonometric functions that are associated to one and same angle. This can be done by relations between fundamental and derivate trigonometric functions. There are two fundamental trigonometric functions (sine, cosine) and four derivate trigonometric functions (tangent, cotangent, secant, cosecant).
After a quick inspection, sin θ = - 2 / 3 is related to csc θ = - 3 / 2 as it fulfill the following trigonometric formula: sin θ · csc θ = 1
RemarkThe graph is missing and cannot be found, so we decided to change the intend of the question to find two trigonometric functions associated with the same angle.
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There are 30 fish in a pond. 9 of the fish are carp.
1/3
Of the fish that are not carp, are sticklebacks and the rest are tench.
What is the ratio of carp to sticklebacks to tench in the pond?
Give your answer in its simplest form.
Answer:
9:7:14
Step-by-step explanation:
where I got my answer
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what is three hundred thousand twelve in standard form?
at lone star middle school 2 out of 5 randomly selected students participate in the school science fair if there are 800 students at the middle school how many students will be expected to participate in the science fair.
The number of students that are expected to participate in the science fair is 320.
How many students are expected to participate in the science fair?The ratio of student that participate to the total number of student is 2 : 5. Ratio is used in mathematics to compare two or more numbers together. In this question, for every 5 students, 2 would be chosen to participate in the fair.
In order to determine the number of students that would participate in the fair, multiply the ratio by the total number of students. Multiplication is the process of determining the product of two or more numbers.
Number of students that would participate in the fair = (ratio of students that would participate / total ratio of students) x number of students in middle school
(2 / 5) x 800 = 320 students
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I NEED THESE IN 7 MINS PLEASE SOMEONE ANSWER THIS ILL GIVE U EXTRA POINTS!!! ANSWER THEM ALL PLEASE!!!
The circumference of the circle is 62.8 feet.
In geometry, the circumference of a circle or ellipse is referred to as its perimeter (from the Latin circumference, meaning "carrying around").
In other words, the circumference would match the length of the circle's arc if the circle were spread out and straightened into a line segment. The perimeter of any closed figure is more frequently used terminology for the length of the curve around. The exact location of the circle, which corresponds to the edge of a disc, can also be referred to as the "circumference." Any one of the great circles has a length equal to the circumference of a sphere.The diameter of the circle = 20 ft
radius (r) = 20 ÷ 2 = 10 ft
Circumference = 2πr = 2 × 3.14 × 10 = 62.8 feet.
For the second problem
The circumference is 17 feet
∴2πr=17
or, 2r = 17 ÷ 3.14 = 5.414... ≈5.41 feet
Hence the diameter is 5.41
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Which of the following describes the location of the opposite of the number that R represents on this line? please help someone . Thanks
A) at a distance of 8 tick marks above 0
B) at a distance of 4 tick marks above 0
C) at a distance of 8 tick mark below 0
D) at a distance of 4 tick mark below 0
Answer:
B) at a distance of 4 tick marks above 0
Step-by-step explanation:
The dot represents the number on the line, R, and the opposite of -4 is positive 4, which is 4 tick marks above 0.
If the volume of a prism is 64, its length 4, and its width 2, what is its height
Answer:
h=8
Step-by-step explanation:
there is a formula for a volume of a prism
Volume = length • width • height
for shortening purposes
V = L • W • H
we know the prism's length is 4, and it's width is 2 and we know it's volume is 64 but the height is missing
what we will do is say (since height is missing)
[tex]h = \frac{V}{l \: • \: w} [/tex]
v = 64
l = 4
w = 2
so, now plug in those values for your variables
[tex]h = \frac{64}{4 \: • \: 2} [/tex]
multiply 4 • 2
[tex]h = \frac{64}{8} [/tex]
divide by 8
[tex]h = \frac{8}{1} [/tex]
simplify
[tex]h = 8[/tex]
Check:V = l•w•h
v= 4 • 2 • 8
v = 8• 8
v = 64
hope this helped happy learning
-7 -3 2/3 write as mixed number
Answer: 3 1/3
Step-by-step explanation:
-7 - (-3 2/3)
-7 = -6 -3/3
-6 -(-3) = -3
-3/3 -(-2/3) = -1/3
-3 + (-1/3) = -3 1/3
|-3 1/3| = 3 1/3
The distance between the two numbers is 3 1/3
A bakery sold a total of 300 cupcakes in a day, and 252 of them were chocolate flavored. what percentage of cupcakes sold that day were chocolate flavored?
Answer:
84% of the cupcakes were chocolate- flavored.
Step-by-step explanation:
[tex] \frac{252}{300} = \frac{84}{100} = 84\%[/tex]
4 = -(x + 3) implemented as a real life problem
Which of the following inequalities is represented by the number line?
A) x > 4.5
B) x ≤ 4.5
C) x ≥ 4.5
D) x < 4.5
Answer:
A
Step-by-step explanation:
i took this test
Answer: B) x ≤ 4.5
Step-by-step explanation:
Closed circles either mean “less than or equal to” or “greater than or equal to,” which would be marked as either
≤ or ≥. Since the number line includes values that are less than 4.5, the ≤ symbol would have to be used.
Order the following numbers from least to greatest: 6.5, -26, -1.3, 0, 2.6, 12
Answer: least to greatest:
-26, -1.3, 0, 2.6, 6.5, 12
Step-by-step explanation:
We can start by putting the negative numbers last (-26, -1.3) the greater a negative number is the smaller it actually is! so -26 would be the least followed by -1.3
0 would be after because well it's zero. then we can go least to greatest, 2.6, 6.5, 12.
How much more will his shirt cost in Fresno than in Bakersfield (in dollars)? (Round each to the nearest cent and write your answer as a decimal). Do Not Put Units.
Using the properties of percentage we get that the shirt cost $0.25 more in Fresno than in Bakersfield.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics.
Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A percentage lacks dimensions and has no associated unit of measurement.It is not always obvious from the context what a percentage is in relation to because of inconsistent usage. The typical meaning of a "10% rise" or "10% decline" in a quantity is that this refers to the quantity's starting value. As an illustration, the new price of a $200 item would be $220 if the price increased by 10%, or $20.Price of the shirt is Fresno
= 35 + 8.225% of 35
= 37.87875
≈ 37.88 dollars
Price of the shirt in Bakersfield
= 35 + 7.5% of 35
= 35 + 2.625
= 37.625
≈ 37.63 dollars
Difference in price after adding the sales tax percentage
= 37.88-37.63
= 0.25 dollars
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- (-5v - 4y + 6) use distributive property to remove the parenthesis
Answer:
(5v+4y+6)
Step-by-step explanation:
You have to distribute/multiply the negative sign (-) to all the values inside.
-(-5v-4y+6)=
-(-5v)=5v (-×- = +)
-(-4y)= 4y (-×- = +)
-(6)= -6 (-×+ = -)
The answer is:
(5v+4y+6)
help mee!!
7|5p−7| = −21
Answer:
p=-1.25
Step-by-step explanation:
first, we do the absolute value so we get 7x5p+7=-21
now we subtract 7 on each side so now it is 7x5p=-28
now we multiply the 7 and 5p so no it is 35p=-28
now we divide both sides by 35 now the answer is p=-1.25
Select the equivilent expression(4 ^ 3 / 5 to the negative power of two) ^ 5
A rule that we need to know in order to solve this is:
[tex](a^b)^c=a^{bc}[/tex]The extended rule would be:
[tex](\frac{a^b}{c^d})^x=\frac{a^{bx}}{c^{dx}}[/tex]Also, remember another rule:
[tex]\frac{1}{a^{-x}}=a^x[/tex]Keeping all these rules in mind, we can simplify:
[tex](\frac{4^3}{5^{-2}})^5=\frac{4^{15}}{5^{-10}}=4^{15}\cdot5^{10}[/tex]THis is the final form.
21. Determine the measures of angles x, y, and z.
55⁰
80
100°
60°
Use cubes with the given edge length to find the volume of the rectangular prisim. Check your answer using the volume formula
The volume of the rectangular prism is 27 inch³.
Given that,
We are going to find the volume of the given rectangular figures in the picture.
The volume of a three-dimensional figure is the amount of rectangular units required to completely fill the interior space.
Volume of the rectangular prism is length×width×height.
Volume of a cube is (side length)³.
If we take each cube from a figure u will get the side length as 1 inches.
So, The 1 cube volume is S³
=1³=1 inch³
Now, we take each cube row's.
Each row as 9 cubes
We get the volume as 9 inch³.
Then there are 3 rows in the diagram.
=9+9+9
=27 inch³
Therefore, The volume of the rectangular prism is 27 inch³.
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Which of the following is the area between a z-score of -0.3 and 0.6?
Answer:
0.34366
Step-by-step explanation:
I'm not 100% sure but that's what I found. also, it says which of the following, so I don't know the answer choices so don't blame me if it's not on the answer choices
what are the factors of the quadratic function represented by this graph
The factors of the quadratic function represented by the graph is (x+1) and (x+5)
What is a Quadratic Function?A quadratic Function is an Algebraic equation in which the highest degree of the variable is 2.
Quadratic functions when plotted on graphs appear as curves and which cuts through the X-axis of the graph.
From the graph, the roots of the function are x = -1 and x = -5,
If x = -1 is a root then taking -1 to the left x+1 = 0
Also if x = -5, then X+5 = 0
so since x+5 = 0 or x +1 = 0
Then (x+5)(x+1) = 0 is the required function.
Therefore (x+5)(x+1) are factors of the Quadratic function
In conclusion, the Factors of the Quadratic functions are (x+1)(x+5)
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Naomi added three mixed numbers as shown below.
Add: 358+(216+238)
Step 1 =358+(238+216)
Step 2 =(358+238)+216
Step 3 =6+216
Step 4 =816
Which statement best evaluates Naomi’s work?
1. She used the commutative and distributive properties correctly and got the correct answer.
2. She used the commutative and distributive properties correctly and got the correct answer.
3. She used the commutative and associative properties correctly and got the correct answer.
4. She used the commutative and associative properties correctly and got the correct answer.
5. She used the commutative and distributive properties correctly but got an incorrect answer.
6. She used the commutative and distributive properties correctly but got an incorrect answer.
7. She used the commutative and associative properties correctly but got an incorrect answer.
8. She used the commutative and associative properties correctly but got an incorrect answer.
The correct option about Naomi is that dhe used the commutative and associative properties correctly but got an incorrect answer.
What are the properties about?It should be noted that the commutative property states that that order of mathematical operations don't matter. The associative property illustrates that the grouping of numbers such that:
(a + b) + c = a + (b + c)
The steps given are:
Add: 358+(216+238)
Step 1 =358+(238+216)
Step 2 =(358+238)+216
Step 3 =6+216
Step 4 =816
You can see that the step 3 is incorrect as well as the final answer. In this case, (358+238)+216 will be 812.
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12x-4=5x+17 please help me solve this equation other conculaters wont help
Bekah has a rectangular garden. The length and width are different odd number
measures, and the perimeter is 12 feet. What is the area of her garden?
Answer:
Step-by-step explanation:
Equationi
2x+1 + 2y+1 = 12 The +1 guarantees that the number is odd. 2x makes any integer even.
Givens
L = 2x + 1
W = 2y + 1
The problem is that you do not have a second equation. So you can just choose.
2x + 1 + 2y + 1 = 12 Combine the left
2x + 2y + 2 = 12 Subtract 2 from both sides
2x + 2y + 2 - 2 = 12 - 2
2x + 2y = 10
x = 3
y = 2
======
x = 2
y = 3
======
L= 3*2 + 1
w = 2*2 + 1
L = 7
w = 5
I don't think there is another solution. The negatives cannot be used because a length or width cannot be (say)
x = - 5
y = 11
Can you measure something that is - 5 units long? Not in this lifetime.
