QuestionWhich of the following expressions is equivalent to the verbal expression 'the quotient of 23x and 15t'?Select the correct answer below:23x · 15115123x0 23x + 151
Answers
Explanation
The quotient is the number obtained by dividing one number by another
for example:
the quotient of a and b is
[tex]a\text{ divided by b=}\frac{a}{b}[/tex]so
Step 1
Let
number 1=23x
number 2=15 t
so, the quotient would be
[tex]\frac{23x}{15t}[/tex]therefore, the answer is C:
[tex]\frac{23x}{15t}[/tex]I hope this helps you
Related Questions
One meter is about 3.3 ft. Use this information to determine
a) the equivalent of one square meter in square feet.
b) the equivalent of one cubic meter in cubic feet.
The equivalent of one square meter in square feet is ____ft^2
Answers
The equivalent of one square meter in square feet is 10.89 [tex]ft^{2}[/tex] and of one cubic meter in cubic feet is 35.937 [tex]ft^{2}[/tex].
One meter is about 3.3 ft. So, we can write
1 meter = 3.3 ft
Part : A
We know, 1 meter = 3.3 ft
On squaring both sides of this equation, we will get
[tex](1 meter )^{2}[/tex]= [tex](3.3 ft )^{2}[/tex]
1 [tex]meter^{2}[/tex] = 10.89 [tex]ft^{2}[/tex] equation 1
The equivalent of one square meter in square feet is 10.89 [tex]ft^{2}[/tex] .
Part : B
We know, 1 meter = 3.3 ft
On taking cube on both sides of this equation, we will get
[tex](1 meter )^{3}[/tex]= [tex](3.3 ft )^{3}[/tex]
1 [tex]meter^{3}[/tex] = 35.937 [tex]ft^{3}[/tex] equation 1
The equivalent of one cubic meter in cubic feet is 35.937 [tex]ft^{2}[/tex]
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Simplify the following expression by expanding and collecting like terms.-(7x + 6) + 3(-5x – 3)Give your answer in the form ax + b.Provide your answer below:
Answers
ANSWER:
[tex]-22x-15[/tex]STEP-BY-STEP EXPLANATION:
We have the following expression:
[tex]-\mleft(7x+6\mright)+3\mleft(-5x-3\mright)[/tex]We solve and reduce like terms, just like this:
[tex]\begin{gathered} -7x-6-15x-9 \\ (-7x-15x)+(-6-9) \\ (-22x)+(-15)=-22x-15 \end{gathered}[/tex]In a survey of 3400 people asked about their ice cream preference, 1600 enjoyed chocolate, 1250 enjoyedvanilla, 1700 enjoyed mint, 700 enjoyed mint and chocolate, 500 enjoyed mint and a vanilla, 600 had achocolate and vanilla, and 200 enjoyed mint, chocolate, and vanilla.a. How many people enjoyed vanilla, but not chocolate or mint? b.How many people did not enjoy chocolate, vanilla, or mint?
Answers
Answer:
Step-by-step explanation:
To understand the situations we must do a Venn diagram:
The total of people asked is 3400. Then,
a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:
[tex]undefined[/tex]b) For people who did not enjoy chocolate, vanilla or mint:
[tex]undefined[/tex]15 points please help. Math. Marginal profit function
Answers
65.03x + 74757 is Marginal profit function .
What is profit?
The financial gain a business has when revenue exceeds costs and expenses is repeatedly alluded to as profit. One cup of lemonade, for instance, costs a child at a lemonade stand one quarter. She then charges $2 for the drink. She made $1.75 in profit just on cup of lemonade.Profit is the term used to describe the monetary gain experienced when the revenue from a commercial activity outpaces the costs, costs, and taxes incurred to support the activity in question.P(x) = 143 - 0.03x
C(x) = 75000 + 65x
C(x) - P(x) = 75000 + 65x - ( 143 - 0.03x)
= 75000 + 65x - 143 + 0.03x
= 65.03x + 74757
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What is the solution to the equation 6x - 5 = 25?
Answers
Solution
Step 1
Write the equation
[tex]6x\text{ - 5 = 25}[/tex]Step 2
Apply the addition equality theorem
[tex]\begin{gathered} 6x\text{ - 5 = 25} \\ \\ Add\text{ 5 to both sides:} \\ \\ 6x-5+5=25+5 \\ \\ 6x\text{ = 30} \end{gathered}[/tex]Step 3
Use the division equality theorem:
[tex]\begin{gathered} 6x\text{ = 30} \\ \\ Divide\text{ both sides by 6} \\ \\ \frac{6x}{6}\text{ = }\frac{30}{6} \\ \\ x\text{ = 5} \end{gathered}[/tex]Final answer
x = 5
Find the slope, x-intercept, and y-intercept for the line 10x-7y + 7 = 0. The slope is The I-intercept is h The y-intercept is Note: Your answers must be decimals. Submit Question Jump to Answer
Answers
slope=1.43
y-intercept=1
x-intercept=-1.43
Explanation
Step 1
get the slope intercept form of the equation
[tex]y=mx+b\text{ (slope intercept equation)}[/tex]where
m is the slope and b is the y-intercept
to do this, isolate y
[tex]\begin{gathered} 10x-7y+7=0 \\ \text{subtract 10 x in both sides} \\ 10x-7y+7-10x=0-10x \\ -7y+7=-10x \\ \text{subtract 7 in both sides} \\ -7y+7-7=-10x-7 \\ -7y=-10x-7 \\ divide\text{ both sides by -7} \\ \frac{-7y}{-7}=\frac{-10x}{-7}-\frac{7}{-7} \\ y=\frac{10x}{7}+1 \end{gathered}[/tex]so,
[tex]\begin{gathered} \text{slope}=\frac{10}{7} \\ y-\text{intercept}=1 \end{gathered}[/tex]Step 2
to find the x-intercept replace the y value with zero in the equation
[tex]\begin{gathered} y=\frac{10x}{7}+1 \\ 0=\frac{10x}{7}+1 \\ \text{subtract 1in both sides} \\ 0-1=\frac{10x}{7}+1-1 \\ \frac{10x}{7}=-1 \\ \text{Multiply both sides by 7/10} \\ \frac{10x}{7}\cdot\frac{7}{10}=-1\cdot\frac{7}{10} \\ x=-\frac{7}{10} \end{gathered}[/tex]so, the x intercept is
[tex]-\frac{7}{10}[/tex]I hope this helps you
HELP ME PLEASE !!!
REASONING An absolute value function is positive over its entire domain. How many x-intercepts does the graph of the function have?
● None
01
02
O Infinite
Answers
A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed. We find it easier to graph linear equations when we consider intercepts.
What is a good x-intercept illustration?Where a line on a graph crosses the x-axis is known as the x-intercept. At that time, the y coordinate's value is zero. For instance, the x-intercept would be where the equation y = x + 5 crosses the x-axis at the location (-5, 0).
How do you calculate the math x-intercept?We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
What is an illustration of intercept?This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).
The x-intercept is zero, right?If you can locate the x-intercept of a linear function, finding the zero should be simple. The x-coordinate of the x-intercept is zero.
The x-intercept can be positive or negative, but how do you know?Summary
The location on the graph where our line crosses the x-axis is known as the x-intercept.Positive numbers are to the right of the origin and negative numbers are to the left of the origin on the x-axis.The location on the graph where our line crosses the y-axis is known as the y-intercept.Which side of a graph is negative?Consider the numbers as being on the x-axis to help you remember this. The positive values are located to the right of the origin, and the negative values are located to the left of the origin.
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The perimeter of a triangle is 38 feet. One side of the triangle is one foot longer than the second side. The third side is four feet longer than the second side. Find the lengths of all three sides (in feet). (Enter your answers as a comma-separated list.)
Answers
The length of the three sides of the triangle are 11 feet, 12 feet and 15 feet.
How to find the length of a triangle?A triangle is a polygon with three sides.
The perimeter of a triangle is 38 feet.
The perimeter of the triangle is the sum of the whole three sides.
One side of the triangle is one foot longer than the second side.
let
the second side = x
longer side = x + 1
The third side is four feet longer than the second side.
Hence,
Third side = 4 + x
Therefore,
38 = x + x + 1 + x + 4
38 = 3x + 5
3x = 38 - 5
3x = 33
x = 33 / 3
x = 11
Therefore, the sides of the triangle are 11 ft, 12 feet and 15 ft.
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60x-30/5=18. please help meeeeee. 10 pts worth.
Answers
60x - 6 = 18
60x = 24
x = 0.4
In a recent year, 31.4% of all registered doctors were female. If there were 47,300 female registered doctors that year, what was the total number of registered doctors?
Answers
Proportionately, the total number of registered doctors, based on the ratio of female doctors, is 150,637.
What is proportion?Proportion refers to the quantity relationship of a variable contained in another.
Using proportion, two values are equated to each other.
For instance, we equate the percentage of registered female doctors to the number of registered female doctors.
Proportions, like ratios, are stated as fractions, decimals, or percentages because they depict the portion of a variable in another.
The ratio of registered female doctors = 31.4%
The number of registered female doctors = 47,300
31.4% = 47,300
100% = 47,300/31.4% x 100
The total number of registered doctors = 150,637 (47,300/31.4%)
Thus, the total number of registered doctors is 150,637, given that 47,300 female registered doctors proportionately represent 31.4% of the population.
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3) Store A sells 36 pack box of chocolates for $54. Store B sells 6-pack boxes of the same size chocolates for $12. Which store offers a better deal? (Organize your information in the tables given below) Store A Store B # of Chocolates Price $ Price $ # of Chocolates.
Answers
3) Store A sells 36 pack box of chocolates for $54. Store B sells 6-pack boxes of the same size chocolates for $12. Which store offers a better deal? (Organize your information in the tables given below) Store A Store B # of Chocolates Price $ Price $ # of Chocolates.
________________________________
# of Chocolates Price Ratio (Price per chocloate)
Store A 36 pack box 54 54/ 36 = 3/2 = 1.5
Sotre B 6-pack boxes 12 12/ 6 = 2
_____________________________
Store A 1.5
______________________________
Answer
Store A offers a better deal
I need help with this
Answers
In other terms, imaginary numbers are those that have no known value and are represented by the square root of negative numbers. Most of the time, it is expressed as real values multiplied by an arbitrary unit called "i."
Is it possible for a quadratic to have both real and imaginary roots?Answer and justification Therefore, a quadratic equation with rational coefficients cannot have both a real and an imaginary root.
How can you find complex roots using Descartes' Rule of Signs?
We may determine the total number of positive + negative real roots using the rule of signs. We may get the potential number of complex roots by deducting this total from the polynomial's degree.
An imaginary integer is referred to as an imaginary zero if it produces a zero output when plugged into a polynomial (or a complex zero).
Complex numbers are those that are expressed as a+b, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1).
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Solve the quadratic equation X^2+5x+6using the completing the square method. Be sure to explain each step.
Answers
We must solve the following quadratic equation by completing squares:
[tex]x^2+5x+6=0.[/tex]1) First, we rewrite the equation in the following way:
[tex]x^2+2\cdot\frac{5}{2}\cdot x+6=0.[/tex]2) We sum to both sides of the equation (5/2)², get:
[tex]x^2+2\cdot\frac{5}{2}\cdot x+(\frac{5}{2})^2+6=(\frac{5}{2})^2.[/tex]3) Expressing the first term as a square, we have:
[tex](x+\frac{5}{2})^2+6=\frac{25}{4}.[/tex]4) Passing the +6 at the left as -6 at the right:
[tex]\begin{gathered} (x+\frac{5}{2})^2=\frac{25}{4}-6, \\ (x+\frac{5}{2})^2=\frac{25}{4}-\frac{24}{4}, \\ (x+\frac{5}{2})^2=\frac{1}{4}. \end{gathered}[/tex]5) By taking the square root on both sides, we get two solutions:
[tex]\begin{gathered} x+\frac{5}{2}=+\frac{1}{2}\rightarrow x=\frac{1}{2}-\frac{5}{2}=-\frac{4}{2}=-2, \\ x+\frac{5}{2}=-\frac{1}{2}\rightarrow x=-\frac{1}{2}-\frac{5}{2}=-\frac{6}{2}=-3. \end{gathered}[/tex]Answer1) Re-writing the equation:
[tex]x^2+2\cdot\frac{5}{2}\cdot x+6=0.[/tex]2) Summing (5/2)² on both sides:
[tex]x^2+2\cdot\frac{5}{2}\cdot x+(\frac{5}{2})^2+6=(\frac{5}{2})^2.[/tex]3) Expressing the first term as a square:
[tex](x+\frac{5}{2})^2+6=\frac{25}{4}.[/tex]4) Simplifying:
[tex]\begin{gathered} (x+\frac{5}{2})^2=\frac{25}{4}-6, \\ (x+\frac{5}{2})^2=\frac{25}{4}-\frac{24}{4}, \\ (x+\frac{5}{2})^2=\frac{1}{4}. \end{gathered}[/tex]5) Taking the square root:
[tex]\begin{gathered} x+\frac{5}{2}=+\frac{1}{2}\rightarrow x=\frac{1}{2}-\frac{5}{2}=-\frac{4}{2}=-2, \\ x+\frac{5}{2}=-\frac{1}{2}\rightarrow x=-\frac{1}{2}-\frac{5}{2}=-\frac{6}{2}=-3. \end{gathered}[/tex]What's the radius of 5?
Answers
The formula for radius is
radius = diameter/2
If diameter = 5, then
radius = 5/2
radius = 2.5
James spins a basketball on his finger and then passes the ball to his friend.
a. What type of transformation is used when James spins the basketball on
his finger?
b. What type of transformation is used to pass the basketball?
Answers
The types of transformations that occur as a result of the motion on the ball are;
A) Rotation
B) Translation
What is the type of transformation?Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation.
Translation is a method of transformation that involves moving an object or shape from one point to another without changing any dimension.
Reflection is a method of transformation that involves flipping a given figure about a given reference point or line. In order words, a mirror image of the original object.
Rotation is a method of transformation that involves turning a given figure at an angle about a reference point.
Dilation is a method of transformation whereby the length of the sides of the figure is either increased or decreased.
A) When James spins a basketball on his finger, it is clear that this transformation is rotation because it involves turning the ball at an angle about a given point.
B) When James passes the basketball, the transformation would be translation because it involves moving the ball from one point to another without changing the dimension of the ball.
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. Explain in words:
José says the graph represents Terrence skating up a hill and then down a hill What
do you say to José?
from motion detector
Answers
A motion sensor, sometimes known as a motion detector, is a piece of technology that use a sensor to find nearby individuals or objects. Any security system needs motion sensors as a crucial part. A sensor will alert your security system and, with newer systems, your cell phone when it senses motion.
How does a motion sensor function?
Active ultrasonic motion detectors emit ultrasonic sound waves, which bounce off surrounding objects and return to the source of emission. The sensor initiates and completes the required action, whether it be turning on a light or sounding an alert, when a moving object interferes with the waves.
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What is the unit rate of the graph below make sure you use answer include unit three point
Answers
Answer:
have you heard of the genger bread man
Step-by-step explanation:
Please Help With This.
Answers
The angle m∠FCD is 56°
Here the line CF is an angle bisector of ∠GCD.
By this we have,
∠GCF = ∠FCD
It is given that
∠GCF = ∠GCB - 12°
Let ∠GCB be x.
∠GCF = x - 12° = ∠FCD
BCD is a straight line which form 180°.
∠BCG + ∠GCF + ∠FCD = 180°
x + x - 12° + x - 12° = 180°
3x = 204°
x = 68°
∠FCD = x - 12°
= 68° - 12°
= 56°
Therefore m ∠FCD = 56°.
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What is the value of the missing angle
Answers
Answer: 105
Step-by-step explanation:
Angles in a triangle add up to 180 degrees always, you already have two angles. Subtract those two angles from 180 then you have 75. A straight line always equals 180, and since we just found one angle on that line which is 75, just subtract 75 from 180 to get the answer.
A population of a certain city increases exponentially at a rate of 6.5%. Initially, it is 1.50 million. After how many years will the population reach 2.31 million?6.5466.643 6.1236.142
Answers
Given that
The population of a certain city is 1.50 million initially and it gets increased by 6.5% exponentially. And we have to find the number of years in which the population becomes 2.31 million.
Explanation -
The formula for the exponential growth is given as
[tex]\begin{gathered} f(x)=a(1+r)^x \\ where\text{ f\lparen x\rparen is the final amount, a = initial amount, r = rate and x = time period} \end{gathered}[/tex]Here we have f(x) = 2.31 million, a = 1.50 million , r = 6.5% and x = ?
So let the time be t.
Then, on substituting the values we have
2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, 0 above 9, 0 above 10. Plot 2 is titled seventh grade. There are 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
The dot plot shows the number of hours, to the nearest hour, that a sample of 5th- and 7th-grade students spend watching television each week. How do the medians compare?
The 5th-grade range is
.
The 7th-grade range is
.
The ratio of variation of 5th grade to 7th grade is
.
Answers
The range of the number of hours spent watching tv for the 5th grade is 6.
The range of the number of hours spent watching tv for the 7th grade is 7.
Th ratio of variation is 6/7.
What is the range?A dot plot is a graph used to represent a dataset using dots. A dot plot is made up of a number line and dots. The dots in the dot plot represent the frequency of the data.
Range is a measure used to measure the variation of a dataset. Range is the difference between the largest number in a data and the smallest number in the dataset.
Range = largest number - smallest number
Range of the 5th grade students = 8 - 1 = 6
Range of the 7th grade students = 7 - 0 = 7
Ratio of variation of 5th grade to 7th grade = range of 5th grade / range of 7th grade
6 / 7
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HELP Please!!!
Bridget worked on her Math homework for 1 ½ hours. Then she worked on her Social Studies homework for ¼ hour. How many hours total did she work on her homework?
Be sure to show all of your work and steps.
Answers
Answer: 1 3/4
1/4= 15 minutes
1/2 = 30 minutes
add 1/2 to 1/4 and you get 3/4 because 1/2 is equal to 2/4 if you add the 1/4 to it
heres the actual math:
1/2 = 2/4
2/4 + 1/4 = 3/4
slap that one in front of it so its 1 3/4 and therea your answer
find the equation of the line
use exact number
y= x+
Answers
Answer:
[tex]y=\frac{-1}{3}x+5[/tex]
Answers being -1/3 and 5
Step-by-step explanation:
In slope-intercept form, you seem to be missing your slope and intercept. Luckily, the graph has everything you need.
Recall slope is rise over run or y over x.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
The slope of this line can be determined by counting the x and y movements of the line between two intersections where it evenly collides. For instance, between (0,5) and (3,4), the line moves right three and down one.
This would give you a slope of -1/3.
Another way to find the slope is to choose any two points and use the slope formula above. Using those same two points:
[tex]m=\frac{4-5}{3-0}[/tex]
[tex]m=\frac{-1}{3}[/tex]
Now you have the first part of your answer. The slope is -1/3.
The second part is the y coordinate of the y-intercept. In this case, the graph includes the intercept, which we can clearly determine is (0,5). Therefore, your second answer would be 5.
The full answer being [tex]y=\frac{-1}{3}x+5[/tex].
how loud a sound is depending on how far away you are PLEASE !!!!!help asap
distance to sound level dB
85
79
73
67
listener
5
10
20
40
Answers
Answer:
2346 dl sheep
Step-by-step explanation:
all well STrxrcgvw'#'zuucrb if ivAr4w3ws4
Can someone help me make a floor plan using the shapes on the scale factor sheet?
Answers
Answer:
k = 4
Explanation:
1) The triangles in example 1 are similar triangles but differs in size
We are to calculate the scale factor k
Using the formula
Scale factor k = size of the larger triangle/size of the smaller trinagle
Since they are similar triangles;
k = DF/AB
Given
DF = 48
AB = 12
Substitute the given values into the expression for k above to have;
k = 48/12
k = 4
Hence the scale factor from triangle ABC to DEF is 4
savings 50,000 in 30 years with a saving compounded monthly at an interest rate of 6%. How much would I need to deposit a month?
Answers
The amount that needs to be deposited to have a saving of $50,000 in 30 years at the given interest rate is $8,302.10.
How is the principal investment required?The compound interest formula is expressed as;
P = A / (1 + r/n)^nt
Where P is principal, A is amount accrued, r is interest rate is compound period and t is time elapsed.
Given the data in the question;
Accrued amount A = $50,000Interest rate r = 6%Compounded monthly n = 12Elapsed time t = 30 yearsPrincipal P = ?First, convert rate from percent to decimal.
Rate r = 6%
Rate r = 6/100
Rate r = 0.06 per year
To determine the principal, plug the given values into the formula above and solve or P
P = A / (1 + r/n)^nt
P = $50,000 / (1 + 0.06/12)^( 12 × 30 )
P = $50,000 / (1 + 0.05)³⁶⁰
P = $50,000 / (1.05)³⁶⁰
P = $8,302.10
Therefore, the principal investment is $8,302.10.
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A woman earned wages of $34,600, received $1500 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. She was entitled to a personal
exemption of $2900 and had deductions totaling $5090. Find her gross income, adjusted gross income, and taxable income.
Answers
If She was entitled to a personal exemption of $2900 and had deductions totaling $5090. her gross income is $36,100, adjusted gross income is $33,400 , and taxable income is $25,410.
Gross incomeGross Income:
Gross Income= Wages + Interest received
Gross Income= 34,600 + $1500
Gross Income= $36,100
Adjusted Gross Income:
Adjusted Gross Income = Income - Tax Def Contribution
Adjusted Gross Income = $36,100- $2,700
Adjusted Gross Income = $33,400
Taxable Income :
Taxable Income = AGI - Deductions - Personal exemption
Taxable Income= $33,400- $5,090 - $2,900
Taxable Income= $25,410
Therefore her gross income is $36,100.
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Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each day?
Responses
Answers
Answer:
25%
Step-by-step explanation:
(40-32 / 32) × 100% = 25%
Let g(x) be the indicated transformation .Write the rule for g(x) Linear function defined in the table vertical translation down 2 units I will send you a picture
Answers
You have the following data set:
x 1 0 -3
y 5 4 1
Where y is a function of x. In order to translate the previous function 2 unitd downward, you take into account that you subtract 2 units to the given values for y. Then, you have:
y (5-2) (4-2) (1-2)
which becomes:
y 3 2 -1
Finally, the given table becomes:
x 1 0 -3
y 2 2 -1
Change the function, y=3(0.5)^x,to a function with base e
Answers
Answer:
y = 3(e)^(-0.69x)
Explanation:
Taking into account the following property
[tex]a=e^{\ln a}[/tex]We can replace (0.5)^x by
[tex]\begin{gathered} 0.5^x=e^{\ln \text{ (0.5\textasciicircum{}x)}} \\ 0.5^x=e^{x\ln (0.5)} \end{gathered}[/tex]So, now we can rewrite the function as
[tex]\begin{gathered} y=3e^{x\ln (0.5)} \\ y=3e^{x(-0.69)} \\ y=3e^{-0.69x} \end{gathered}[/tex]Therefore, the answer is
y = 3(e)^(-0.69x)
Answer:
y=3e^(ln0.5)x
Step-by-step explanation: