The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.
What are partial quotients division?Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.
Why do we use partial quotient division?Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.
Now we solve
first 9 multiply with 500 so we get 4500. 5140-4500=640
then 9 multiply with 70 so we get 630. 640-630=10
then 9 multiply with 1 so we get 9. 10-9=1
Hence 500+70+1=571
And our remainder is 1.
To learn more about partial quotient division visit;
https://brainly.com/question/21052588
#SPJ1
My question is in the pic
Answer: 7t+7
Step-by-step explanation: i know
Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7
A music store sells about 50 of a new model of drum per month at a price of $120 each. For each $5 decrease in price, about 4 more drums per month are sold. What prices of the drum will reach over $6500? And write the equation to this inequality?
The prices of the drum that will reach over $6500 are between $3 and $8
And the inequality expression is (50 + 4x) (120 - 5x) > 6500
What prices of the drum will reach over $6500?From the question, we have the following parameters that can be used in our computation:
Number of models = 50
Initial price = $120
Also from the question, we have:
Decrease in price by $5Increase in the number of drums by 4So, we have
Models = 50 + 4x
Price = 120 - 5x
This means that the revenue function is
R(x) = (50 + 4x) * (120 - 5x)
When the price reaches over $6500, we have
(50 + 4x) * (120 - 5x) > 6500
Using a graphing calculator, we have
2.911 <x < 8.5
Approximate
3 ≤ x ≤ 8
Hence, the model reaches $6500 between 3 and 8
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
A=[2 3) B=(1 2) find AB
[0 8) (2 -1)
Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.
Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].
The result of matrix multiplication, AB, will also be a 2x2 matrix.
To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.
The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:
(21) + (33) = 2+9 = 11
The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:
(22) + (34) = 4+12 = 16
The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:
(41) + (53) = 4+15 = 19
The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:
(4*2)
Step-by-step explanation:
got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 24 cents per yard. If after that purchase there was $3.48 left on the card, how many yards of ribbon did
The length of ribbon is 48 yards.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kala got a prepaid debit card with $15.
Price of Ribbon = 24 cents per yard.
After purchase money left $3.48.
So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents
length of ribbon = 1152/ 24
= 48 yards
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ1
Find the measure of angle A,
I really need help on this asap
Answer:
well, both the domain, and the range can have a positive and/or negative infinity, but as long as the 2nd factor is an opposite symbol then you will have a correct answer, for instance, -infinity, and 2 could work, but if the 2 was negative then there would be a problem
Step-by-step explanation:
Select all the correct answers. What are the solutions of this equation? x2-x-56=0
The roots of the quadratic equation x² - x - 56 = 0 is x = -7 or x = 8
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the equation be represented as A
Now , the value of A is
x² - x - 56 = 0 be equation (1)
On simplifying the equation , we get
x² - 8x + 7x - 56 = 0
Taking the common terms in the equation , we get
x ( x - 8 ) + 7 ( x - 8 ) = 0
Now , on factorizing the equation , we get
( x + 7 ) ( x - 8 ) = 0
We have two factors which can solve the equation ,
when ( x + 7 ) = 0
Subtracting 7 on both sides of the equation , we get
x = -7
And , when ( x - 8 ) = 0
Adding 8 on both sides of the equation , we get
x = 8
Therefore , the roots of the equation are x = -7 and x = 8
Hence , the quadratic equation is solved
To learn more about quadratic equation click :
https://brainly.com/question/25652857
#SPJ1
Answer:
x = 8
x = -7
Step-by-step explanation:
To find the solutions of the quadratic equation x^2 - x - 56 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = -1, and c = -56. Plug these values into the formula and calculate the discriminant (the value inside the square root):
Discriminant (D) = b^2 - 4ac = (-1)^2 - 4(1)(-56) = 1 + 224 = 225
Now, calculate the two possible solutions:
x1 = (-(-1) + √225) / (2(1)) = (1 + 15) / 2 = 16 / 2 = 8
x2 = (-(-1) - √225) / (2(1)) = (1 - 15) / 2 = -14 / 2 = -7
So, the correct solutions to the equation x^2 - x - 56 = 0 are:
x = 8 (x = 0 is not a solution)
x = -7
PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.
graph of a line going through 0 comma 0 and one half comma 5
p = 10
p = 5
p = 0.5
p = 0.1
The constant of proportionality is 10 for the proportional relationship shown in the graph.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The proportional relationship is shown in the given graph.
As per the given graph, we take two points (1, 10) and (2, 20)
So, the constant of proportionality will be as:
⇒ (20 - 10)/(2-1)
⇒ 10/1
⇒ 10
Hence, the correct answer would be option (A).
To learn more about the constant of proportionality here:
https://brainly.com/question/17302514
#SPJ1
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?
The average like for each minute of the video that he uploads will be 2,000 likes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total number of likes is calculated as,
Like / View = 1 / 5
Like / 9,000,000 = 1 / 5
Like = 1,800,000
The total number of minutes is calculated as,
Time length = (9,000,000 / 150,000) x 15
Time length = 60 x 15
Time length = 900 minutes
The average like for each minute of the video that he uploads will be given as,
⇒ 1,800,000 / 900
⇒ 2,000
The average like for each minute of the video that he uploads will be 2,000 likes.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
The complete question is given below.
Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1: 5. Dagogo wants to reach a total of 9,000,000 views on his channel.
Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of the video he uploads?
Write −12x+y=10 in slope-intercept form.
The equation −12x+y=10 in slope-intercept form is y = 12x + 10
How to write the equation in the slope-intercept formThe general equation showing the slope-intercept form of a graph is represented as;
y = mx+ c
Given that;
y is a point on the y-axis of the graphm is the slope of the graphx is a point on the x -axis of the graphc is the intercept of the line on the y-axisFrom the information given, we have the equation as;
−12x+y=10
Now, let's make 'y' the subject of formula by
-12x + y = 10
Take '12x' to the other side of the equality sign
y = 10 + 12x
Make into slope-intercept form, we have
y = 12x + 10
Hence, the formula is y = 12x + 10
Learn more about slope-intercept here:
https://brainly.com/question/1884491
#SPJ1
The slope-intercept form of the equation of line −12x + y = 10 is y = 12x + 10.
What is the slope-intercept form of the equation of line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the line;
−12x + y = 10
To rewrite in slope intercept form ( y = mx + b ), bring terms containing y to the left and x or constant terms to the write side of the equation.
−12x + y = 10
Add 12x to both sides
−12x + 12x + y = 10 + 12x
y = 10 + 12x
Reorder in slope intercept form
y = 12x + 10
Therefore, the slope intercept form is y = 12x + 10.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
You have a 1/3 -teaspoon measuring spoon and a 1/2-teaspoon measuring spoon. What are two ways you can measure 3 1/6 teaspoons of salt?
Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons
and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
3 1/2 + 2/3 = 3 1/6
Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:
the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons
and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons
3 + 2/3 = 3 1/6
So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.
Step-by-step explanation:
$576.188 rounded to the nearest hundredth I see
Answer:
$576.19
Step-by-step explanation:
find bce PLEASE AND THANKS
The unknown angle of the triangle is as follows:
∠BCE = 65 degrees
How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, the angle ∠BCE can be found as follows:
∠BAC = 70 degrees
∠ABC = 60 degrees
∠ACB = 180 - 70 - 60
∠ACB = 180 - 130
∠ACB = 50 degrees
Hence, using exterior angle theorem,
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
∠BCD = 60 + 70 = 130 degrees
Hence,
∠BCE = 130 / 2 = 65 degrees
learn more on angles here: https://brainly.com/question/29144629
#SPJ1
If m∠A = 29°, m∠B = 84°, and c = 14, what are the measures of the remaining sides and angle?
Answer:
m∠C = 67°, a = 7.37, b = 15.13
Step-by-step explanation:
There are 180° in a triangle. We know two angles in the triangle, so we can calculate the third angle.
Since this is not a right triangle, we will use the Law of Sines.
SinA/a = SinB/b = SinC/c
see image.
Find the missing measure. Round to the nearest tenth (first decimal place)
15
26°
x
The missing measure of the given right-angled triangle is: x = 2.5
How to find the measure?Given a right-angled triangle, with one of its angle as 14° ,assume
angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.
As it is given it's a right-angled triangle,
∴ By using trigonometric formula,
tan y = opposite /adjacent
∴ tan 14° = z/x
tan 14° = 18/x
7.24 = 18/x ......( as tan 14°= 7.24)
∴ x = 2.48
∴ x ≈ 2.5
To know more about trigonometry, check out:
brainly.com/question/13729598
#SPJ1
Fill in the blank. In the triangle below, y=__________. Round your answer to two
decimal places.
ZD
y
Answer here
42°
35
The solution set of 12 x squared minus 14 x equals 10 is
The given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the statement as -
"12 x squared minus 14 x equals 10"
The given function can be written as -
f(x) = 12x² - 14x - 10
Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -
(x + 1/2)(x - 1.667) = 0
(x + 1/2) = 0 and (x - 1.667) = 0
x = -1/2 and x = 1.667
Therefore, the given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
To solve more questions on quadratic equations, visit the link below -
brainly.com/question/22412845
#SPJ1
Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.
The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD
= 3.14 × 1/2
= 1.57 mile
Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours
Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ1
What property is,If 5x=25,then x=5
Answer:
can you just give me the brainliest.
the answer is in the attached document
Step-by-step explanation:
Is a function that can be graphed discrete or continuous?
Answer:
Discrete
Step-by-step explanation:
Discrete means it has ends, and continuous means it continues on forever.
What is the following sum?
Answer:
The 4th one
Step-by-step explanation:
Right on edge!
Can someone help me with this? I'm stressed out and its urgent.
Gross pay is $360, Health insurance is $50.40, Pension deduction is $21.60, Total deductions is $173.85 and net pay is $186.15.
What is gross Earnings?Gross pay or gross earnings is the amount of money an employer earn before all the tax and other deductions and benefits.
Employee works for 40 hours at a rate of $9.00 per hour.
Gross pay = 40 × 9 = $360
Health insurance = 14% of gross earnings
= 14% × 360
= 0.14 × 360
= $50.40
Pension deduction = 6% of gross earnings
= 0.06 × 360
= $21.60
Total deductions = $55.00 + $21.80 + $25.05 + $50.40 + $21.60
= $173.85
Net pay = Gross earnings - Total deductions
= $360 - $173.85
= $186.15
Hence the amount of gross pay is $360, and net pay is $186.15.
Learn more about Gross Pay here :
https://brainly.com/question/14690804
#SPJ1
Express as a single fraction and find the domain
A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Now,
Since, The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Simplify the expression as;
⇒ 4 (y - 2) - 3 (y + 2) / (y-2) (y+2) + 12 / (y² - 4)
⇒ 4y - 8 - 3y - 6 / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14) / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14 + 12) / (y² - 4)
⇒ (y - 12) / (y- 12) (y + 12)
⇒ 1/(y + 12)
Hence, A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ1
Find the value of the lesser root of x squared -7x +12 =0
Answer:
3
Step-by-step explanation:
x² -7x + 12 =0
by factoring:
(x-4)(x-3) = 0
x = 4
x = 3
3<4
can you help with this please its urgent.
1. 60% of 330 would fill 6 of the boxes.
2. 45% of 600 would fill 4 and half of the boxes.
3. 42% of 450 is 189.
4. 79% of 800 is 632.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
1. The strip has 10 boxes and totals to 330.
Now, 60% of 330 would fill 6 out of those 10 boxes.
2. The strip has 10 boxes and totals to 600.
So, 45% of it would fill 4 and a half of the boxes.
3. 42% of 450 can be numerically expressed as,
(42/100)×450.
= 189.
Similarly, 4. 79% of 800 is,
(79/100)×800.
= 632.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ1
Find the missing angle measure. Round to the nearest degree. cos 0 = 0.9563
The measure of the missing angle is 17 degrees.
Cosine as an example of trigonometric functions.Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.
Now considering the given question, we are to find the measure of the missing angle. We have;
cos θ = 0.9563
where θ is the missing angle the value of which is to be determined.
Thus, divide both sides of the expression by cos to have;
cos θ/ cos = 0.9563. cos
θ = cos^-1 0.9563
θ = 17.0 degrees
Therefore, the value of the missing angle is 17 degrees.
Learn more about the cosine of angles at https://brainly.com/question/3510762
#SPJ1
A pack of paper costs $3.79, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $15 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
Answer:
3 stacks of paper can be purchased.
Step-by-step explanation:
Start by setting up the inequality:
15 = 3.79x
Now that you have set up the inequality, go to solve the inequality.
You should get the answer 3.958 (rounded). Since Mr. Valentino can not by a half stack of paper, drop the decimal so we are left with 3.
I would describe the graph as a straight line increasing, with money on y and stacks of paper on the x axis
Complex mathematical
A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]
B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]
c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]
are the value of given algebraic expression.
What is Complex Number?The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".
here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]
Given .
[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]
upon solving two complex number we solve coefficient of iota together and real number together.
A) to find [tex]$(x+y)$[/tex]
[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]
B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]
[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]
c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]
[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]
To learn more about Complex Number visit:
https://brainly.com/question/20566728
#SPJ1
Illustrate the effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream
The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.
What is Market?This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.
A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.
Read more about Market here https://brainly.com/question/25754149
#SPJ1
During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario.
The expression that represents how much money Kate will collect
is y = 5x + 2x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.
Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.
Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.
y = 7x.
learn more about equations here :
https://brainly.com/question/29657988
#SPJ1