Answer:
The answer would be 18/16 or 1 1/8.
-30=4-8x solve for x
Answer: x=4.25
Step-by-step explanation:
-30=4-8x
subtract 4 from both sides
-8x=-34
divide by -8 on both sides
x=4.25
I need the answer pls
Answer:
A
Step-by-step explanation:
To rite the equation of the function, take two points from the table. Let them be (1,21) and (3,15).
The slope of the function is
[tex]\dfrac{21-15}{1-3}=\dfrac{6}{-2}=-3[/tex]
Thus, the equation of the function in slope-intercept form is
[tex]f(n)=-3n+b[/tex]
Find b by substituting coordinates of the first point into the function expression:
[tex]21=-3\cdot 1+b\\ \\b=21+3\\ \\b=24[/tex]
Therefore,
[tex]f(n)=-3n+24[/tex]
The area of a rectangular room is given by the trinomial 3x^2-13x-30 what are the possible dimensions of the frame? Use factoring.
Answer:
(3x + 5) and (x - 6).
Step-by-step explanation:
3x^2-13x-30
Use the 'ac' method:
a * c = 3*-30 = -90.
We need two numbers whose product is -90 and whose sum is -13. They are -18 and + 5, so we have
3x^2 - 18x + 5x - 30 Factor by grouping:
= 3x(x - 6) + 5(x - 6)
= (3x + 5)(x - 6).
Answer:
A (3x + 5) and (x - 6
Step-by-step explanation:
If u can help that would be great
Answer:
Step-by-step explanation:
Solved by elim: it is similar (diff size, but not congruent, same size) and B is twice the size of A, not half.
Please Help ASAP!! Domain and range of function...
Answer:
Domain: All Real Numbers
Range: All Integers
Step-by-step explanation:
Integers are numbers positive and negative and 0 but cannot be partial numbers. Partial numbers are decimal or fractional numbers when most simplified.
Real numbers are positive and negative and 0 and can be partials, decimal numbers, fractions, radicals, anything considered a number.
The domain is all real numbers. Since the graph has lines that show between the grid lines, decimal numbers are included.
The range is all integers because there are only number on the grid lines. Real numbers would include all of the decimal numbers that not in the white spaces.
Answer:
the bottom right
Step-by-step explanation:
range cannot be all real numbers because they have to be integers(for example, 3/4 is a real number but it is not an integer)as the lines are on integer numbers. But the domain can be all real numbers because the lines go through all real numbers
David bought a 20 ounce bottle of soda. How many quarts of soda are in the bottle?
A
5/32 quarts
B
5/8 quarts
C
1 1/4 quarts
D
2 1/2 quarts
Answer:
The answer is B. 5/8 quarts
Step-by-step explanation:
1 ounce is equal to .03125 quarts so to find the amount of quarts, you multiply 20 times .03125 to get .625 or 5/8.
Final answer:
There are 5/8 quarts of soda in a 20 ounce bottle, which is found by dividing 20 by the conversion factor of 32 ounces per quart.
Explanation:
The student has asked how many quarts of soda are in a 20 ounce bottle. To convert ounces to quarts, we use the conversion factor that there are 32 ounces in a quart. To find the number of quarts in 20 ounces, we divide 20 by 32.
20 oz ÷ 32 oz/qt = 0.625 qt
This can also be written as 5/8 quarts, which is option B. Therefore, there are 5/8 quarts of soda in a 20 ounce bottle.
Which of the following is written as a rational function?
A. P(x)=7x+1
B. G(x)=-4x
C. F(x)=x-5//3x (correct answer
D. Q(x)=x^2+6x-3
Answer:C
Step-by-step explanation:
The required rational function is F(x) = x-5/3x. Option C is correct.
From the options correct rational function is to be determined.
A rational number is defined as the number written in the form of the f ratio.
Here,
The property of rational function is it contains function on both numerator and denominator.
By looking to the property, only function F(x) = x-5/3x seems to rational functions.
Thus, the required rational bis F(x) = x-5/3x.
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Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Five percent of the panels from Plant A and 2% of the panels from Plant B
were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 4%?
Number of panels produced by Plant B????
Answer:
Number of panels produced by Plant B is 8,000.
Step-by-step explanation:
The number of panels produced by Plant A = 16,000
The number of defective panels from A = 5%
Now, 5% of 16,000 = [tex]\frac{5}{100} \times 16,000 = 800[/tex]
So, out of 16,000 panels produced by pant A , 800 are defective. .. (1)
Let us assume number of panels produced by Plant B = m
The number of defective panels from B = 2%
Now, 2% of m = [tex]\frac{2}{100} \times m = 0.02 m[/tex]
So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)
Now, total panels produced over all = Panels by A + Panels by B
= 16,000 + m
The percentage of defected panels over all = 4%
Now, 4% of (16,000 + m) = [tex]\frac{4}{100} \times (16,000+m) = (0.04)(16,000 + m)[/tex]
Also, the total number of defective panels = Defective from A + Defective from B
⇒(0.04)(16,000 + m) = 800 + 0.02 m from (1) and (2)
or, 640 + 0.04 m = 800 + 0.02
or, 0.02 m = 160
⇒ m = 160 /0.02 = 8,000
or, m = 8,000
Hence, Number of panels produced by Plant B is 8,000.
The number of panels produced by Plant B can be calculated by setting up an equation representing the total number of defective panels from both plants. Solving this equation yields a result of 20,000 panels for Plant B.
Explanation:Let's denote the number of panels produced by Plant B as X. According to the problem, 5% of the panels produced by Plant A were defective, which is 0.05*16,000 = 800. Since 2% of the panels produced by Plant B were defective, that's 0.02*X panels.
The total number of defective panels from both plants was 4% of the total production, which means it was equivalent to 0.04 * (16,000+X). Setting this equation equal to the sum of defective panels from both plants, we get the equation 0.04*(16,000+X) = 800 + 0.02*X.
Solving the above equation, we get X = 20,000. Therefore, "Plant B produced 20,000 panels".
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A florist is filling a large order for a client. The client wants no more than 300 roses in vases. The smaller vase will contain 8 roses and the larger vase will contain 12 roses. The client requires that there are at least twice as many small vases as large vases. The client requires that there are at least 6 small vases and no more than 12 large vases.
Let x represent the number of small vases and y represent the number of large vases.
What constraints are placed on the variables in this situation?
Answer:
[tex]8x+12y\leq 300[/tex]
[tex]x\geq 6[/tex]
[tex]y\leq 12[/tex]
[tex]x\geq 2y[/tex]
Step-by-step explanation:
We are given that
x=Number of small vases
y=Number of large vases
Total number of roses not more than 300 in vases.
Number of roses in small vase atleast=8
Number of roses in large vase not more than =12
We have to find the constraints are placed on the variables in the given situation.
According to question
[tex]8x+12y\leq 300[/tex]
[tex]x\geq 6[/tex]
[tex]y\leq 12[/tex]
[tex]x\geq 2y[/tex]
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
1. p(x) = 5x2 + 30x
2. p(x) = 5(x2 + 6x)
3. (six-halves) squared = 9;
4. p(x) = 5(x2 + 6x + 9) – 5(9)
5. p(x) = 5(x + 3)2 – 45
Describe Sandra’s function.
Answer:
p(x) = 5(x + 3)² - 45
Step-by-step explanation:
Sandra wrote the function as p(x) = 30x + 5x².
So, this is a formula of a parabola, and this we have to convert into vertex form.
Now, rearranging the function we get
p(x) = 5(x² + 6x)
⇒ p(x) = 5(x² + 6x + 9) - 45
⇒ p(x) = 5(x + 3)² - 45
So, this is the vertex form and the vertex of the parabola is (-3,-45).
We know the formula of a parabola having vertex at (m,n) and axis parallel to positive y-axis is given by
(x - m)² = 4a(y - n)
⇒ [tex]y = \frac{1}{4a} (x - m)^{2} + n[/tex] (Answer)
5. A car that travels 20 miles in
a car that travels 30 miles
hour at constant speed is traveling at the same speed as
ar at a constant speed. Explain
Question:
A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 hour at constant speed. Explain
Answer:
Both the car travels at the same speed of 40 miles per hour .
Step-by-step explanation:
Given:
car 1 :
Distance travel car 1 travels =20 miles
Time taken = 1/2 hour
car 2 :
Distance travel car 1 travels =30 miles
Time taken = 3/4 hour
Solution:
Let the speed at which car 1 travels be x
Let the speed at which car 2 travels be y
Finding the speed of car 1 :
Speed of car 1,[tex]x =\frac{distance}{time}[/tex]
=>[tex]x=\frac{20}{(\frac{1}{2})}[/tex]
=>[tex]x=20\times \frac{2}{1}[/tex]
=>x = 40 miles per hour
Finding the speed of car 2 :
Speed of car 2,[tex]y =\frac{distance}{time}[/tex]
=>[tex]y=\frac{30}{(\frac{3}{4})}[/tex]
=>[tex]y=30\times \frac{4}{3}[/tex]
=>[tex]y=\frac{120}{3}[/tex]
=>x = 40 miles per hour
2.The diagonals of a rhombus are in the ratio 5:12. If its perimeter is 104 CM, findthe lengths of the sides and the diagonals.
Answer:
Lenghts of the sides: [tex]26\ cm[/tex]
Lenghts of the diagonals: [tex]48\ cm[/tex] and [tex]20\ cm[/tex]
Step-by-step explanation:
Look at the rhombus ABCD shown attached, where AC and BD de diagonals of the rhombus.
The sides of a rhombus have equal lenght. Then, since the perimeter of this one is 104 centimeters, you can find the lenght of each side as following:
[tex]AB=BC=CD=DA=\frac{104\ cm}{4}= 26\ cm[/tex]
You know that the diagonals are in the ratio [tex]5:12[/tex]
Then, let the diagonal AC be:
[tex]AC=12x[/tex]
This means that AE is:
[tex]AE=\frac{12x}{2}=6x[/tex]
And let the diagonal BD be:
[tex]BD=5x[/tex]
So BE is:
[tex]BE=\frac{5x}{2}=2.5x[/tex]
Since the diagonals of a rhombus are perpendicular to each other, four right triangles are formed, so you can use the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case, you can choose the triangle ABE. Then:
[tex]a=AB=26\\b=AE=6x\\c=BE=2.5x[/tex]
Substituting values and solving for "x", you get:
[tex]26^2=(6x)^2+(2.5x)^2\\\\676=36x^2+6.25x^2\\\\\sqrt{\frac{676}{42.25}}=x\\\\x=4[/tex]
Therefore, the lenghts of the diagonals are:
[tex]AC=12(4)\ cm=48\ cm[/tex]
[tex]BD=5(4)\ cm=20\ cm[/tex]
Denita has 4 coins. If Denita flips all the coins at once, how many outcomes are in the sample space?
Answer:
16
Step-by-step explanation:
5 million, four thousand, three hundered in standard form
5 million, four thousand, three hundered in standard form is [tex]5.0043 \times 10^{6}[/tex]
Solution:Need to represent 5 million, four thousand, three hundered in standard form
5 million = 5000000
4 thousand = 4000
3 hundred = 300
5 million, four thousand, three hundred = 5000000 + 4000 + 300 = 5004300
In standard form, decimal comes after first digit and multiply to power of 10 dependency on total digits of number.
In our case, given number is 5004300.
So we need decimal after first and after that multiplying it by appropriate power of 10. So,
[tex]5004300=5.0043 \times 10^{6}[/tex]
Hence [tex]5.0043 \times 10^{6}[/tex] is standard form of 5004300 that is standard form of 5 million, four thousand, three hundred.
The number '5 million, four thousand, three hundred' is written in standard form as 5,004,300. Standard form notation uses commas to split up large numbers into thousands, millions, etc.
Explanation:The standard form notation for representing numbers is a helpful way to write large or very small numbers in a more compact format. In this case, the number '5 million, four thousand, three hundred' in standard form would be represented as 5,004,300. This combines all the components: millions, thousands, and hundreds into one concise figure.
In standard form, this value is written by placing commas every three digits, starting from the right. So, '5 million' is written as 5,000,000. 'Four thousand' is written as 4,000 and 'three hundred' as 300. When you add these values together, you get 5,004,300.
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1=(6/-15)(-5)+b
What is the answer
Answer:
b=-1
Step-by-step explanation:
1=(6/-15)(-5)+b
-6/15=-2/5
(-2/5)(-5)=10/5=2
2+b=1
b=1-2=-1
Jacob knows that 1/20 means “1 divided by 20.” He uses this to find the decimal equivalent for 1/20. Enter a digit into each box to complete his work.
Answer:
0.05
Step-by-step explanation:
1/20=5/100=0.05
Answer:
0.05
Step-by-step explanation:
To find the decimal equivalent of the fraction 1/20, this is shown as shown in the attachment.
1/20 = 0.05
The decimal equivalent of 1/20 is 0.05
18. Find the measure of ZWZX. Show your work.
48 degrees
8x-3
18x+5
<X = 48 degrees, <Y = 8X-3, W = 18X+5
Since it's a triangle we know that it equals 180 degrees.
So take 8X-3+18X+5+48=180
Add your like terms together which makes, 26X+50=180
Now you're going to subtract 50 from 180 which leaves you with 26X=130
Now divide your sums which leaves you X which = 5
You should be able to plug X back into your equation to find <Z. Hope this helps.
** sum of 3 elevens and 4 fives
Eighty minus the product of 10 and 4
Write the expressions in numerical form. Then, compare the expressions using >, < =
The difference between 60 - 50
3x10
5 fifteens
50 + 20
The sum of 1 eleven and 3 elevens
35 x 15
42 + 35
The product of 9 and 8
Answer:
hope this helped i was kinda confused by the question
Step-by-step explanation:
3 x 11 = 33
4 x 5 = 20
33 + 20 = 53
10 x 4 = 40
80 - 40 = 40
53 > 40
60 - 50 = 10
3 x 10 = 30
5 x 15 = 75
50 = 20 = 70
11 + 33 = 44
35 x 15 = 525
42 + 35 = 77
9 x 8 = 72
describe the location of the point having the following coordinates
Answer:
Step-by-step explanation:
What are the coordinates????
Need help with this math problem
Answer:
X=13
Step-by-step explanation:
15x-15= 180
15x-15+15=180+15
15x/15=195/15
X=13
Now just plug X in to every equation
(Q) 4(13)-22= 30
(P) 10(13)-4= 126
(R) 1(13)+11=24
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< BACK TO HOMEPAGE - NORTHWEST CLASSEN NS ALGEBRA I S1 CR 2019-2020
What is the value of
What is the value of g( – 3) when g(x) = 2x – 22
when
Enter your answer in the box.
g(-3) =
Answer: [tex]g(-3)=-28[/tex]
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(-)(+)=-[/tex]
You have the following function g(x) provided in the exercise:
[tex]g(x) = 2x - 22[/tex]
The problem asks to find the value of [tex]g(-3)[/tex]. In order to find it, you need to substitute [tex]x=-3[/tex] into the function g(x):
[tex]g(-3) = 2(-3) - 22[/tex]
The final step is to evaluate.
Applying this procedure, you get that the value of [tex]g(-3)[/tex] is:
[tex]g(-3) = -6 - 22\\\\g(-3)=-28[/tex]
what is 6–3 simplyified
Answer:
Bro XD lol just simplify it.
the answer is 3
Answer:
3
Step-by-step explanation:
How do we use graphic technology
Answer:
f light is imagined as a flow of particles, the particles are called photons with each photon carrying a discrete packet of energy.
. A soccer club has 15 players for every team, with the exception of two teams that have 16 players each. Is the number of players proportional to the number of teams?
Answer: No
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
It doesn't tell you how many teams there but if there are two teams that have extra player it is obviously not proportional.
In Exercises 26-28, write an equation. Then solve.
26. DRY ICE The temperature of dry ice is - 109.3°F. This is 184.9°F less than
the outside temperature. What is the outside temperature?
Answer:
The temperature outside is 75.6°F
Step-by-step explanation:
We are given the following in the question:
The temperature of dry ice = - 109.3°F
Let x be the temperature outside in Fahrenheit.
It is given that the temperature of dry ice is 184.9°F less than the outside temperature.
Thus, we can write the equation:
[tex]x - 184.9 = -109.3[/tex]
Solving, the above equation, we get:
[tex]x - 184.9 = -109.3\\x = -109.3 + 184.9\\x = 75.6[/tex]
Thus, the temperature outside is 75.6°F
The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3) find the value of p
The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33
Solution:Given the expression is [tex]4x^2 - px - 7[/tex] leaves a remainder of -2 when divided by (x-3)
To find: value of p
x - 3 = 0
x = 3
Let [tex]g(x) = 4x^2 - px - 7[/tex]
Hence we can say,
g(3) = -2
Substitute x = 3 in g(x) we get,
[tex]g(3) = 4(3)^2 - p(3) - 7\\\\-2 = 4(3)^2 - p(3) - 7[/tex]
On solving we get,
-2 = 4(9) - 3p - 7
-2 = 36 - 3p - 7
3p = 36 - 7 + 2
3p = 31
[tex]p = \frac{31}{3} = 10.33[/tex]
Thus the value of p is 10.33
Select the correct answer.
Which of the following correctly matches the banking term with the appropriate definition?
A. A deposit is the total amount of money you have in the bank.
B. A withdrawal is an amount of money you take out of the bank.
C.
Your balance is the money you put into the bank.
D.
All of the above
Reset
Next
Answer:
B. A withdrawal is an amount of money you take out of the bank.
A student memorized the statement the product of any rational number and an irrational number is irrational label this statement as true or false and explain your reasoning
A student memorized the statement the product of any rational number and an irrational number is irrational holds true for non-zero rational number
Solution:
A rational number is a number that can be written as a fraction.
When a rational number fraction is divided to form a decimal value,
it becomes a terminating or repeating decimal.
An Irrational Number is a real number that cannot be written as a simple fraction. It cannot be expressed as a fraction with integer values in the numerator and denominator.
When an irrational number is expressed in decimal form, it goes on forever without repeating.
"The product of a rational number and an irrational number is SOMETIMES irrational."
If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.
Any other situation, however, of a product of rational and irrational will be irrational.
A better statement would be:
"The product of a non-zero rational number and an irrational number is irrational."
Let us understand this with a example
[tex]\text { non - zero rational number } \times \text { irrational number }=\text { irrational number }[/tex]
Consider [tex]\frac{1}{2} \rightarrow rational number[/tex]
[tex]\frac{\sqrt{3}}{4} \rightarrow irrational number[/tex]
Now multiply both,
[tex]\frac{1}{2} \times \frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{4}=0.433012701[/tex]
We got 0.433012701 which is a irrational number because in decimal form, it goes on forever without repeating.
Thus we can frame two statements:
"The product of a rational number and an irrational number is SOMETIMES irrational." "The product of a non-zero rational number and an irrational number is irrational."Answer:
True.Step-by-step explanation:
"The product of any rational number and an irrational number is irrational"
To know if the statement is true or false, we can test an example. Lets use the rational number [tex]\frac{3}{2}[/tex] and the irrational number [tex]\pi[/tex]. Id we calculate the product of these two we would have:
[tex]\frac{3}{2}\pi= 4.71238898038469...[/tex]
As you can observe, the product is an irrational number, because it's infinite and not periodic, it doesn't have any pattern.
Therefore, the statement is true.
what is the x intercept od this piecewise function? A) (0,2) B) (2,0) C) (0,4) D) (4,0)
Answer: Choice B) (2,0)
======================================
Set the first piece equal to zero and solve for x
x^2 - 4 = 0
x^2 = 4
x = sqrt(4) or x = -sqrt(4)
x = 2 or x = -2
Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.
----------
Set the second piece equal to zero and solve for x
x-2 = 0
x-2+2 = 0+2
x = 2
We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.
The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.
The graph below shows this.
side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.
Solve for x. 12x-39<9 AND -4x+3<-6
Answer:
1. x<4
2. x>9/4
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation: