Answer: 59
Step-by-step explanation:
Look at the division problem below. 9,654 ÷ 31 Which of the following is the first step to solving this division problem? A. 650 ÷ 31 B. 9,600 ÷ 31 C. 54 ÷ 31 D. 9,000 ÷ 31
Answer: B
Step-by-step explanation:
Answer:
B is your answer
Step-by-step explanation:
Hope its right
Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard.
The fraction that needs to be mowed is 2/3, The fraction division for the condition is x = 1 - 1/3.
What is a fraction?It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given that,
Michael mows = 1/3 of the yards.
Let's say the remaining fraction is x
Remaining fraction = Total fractions - a fraction of the mowed.
x = 1 - 1/3
x = 2/3
Therefore 2/3 fraction still needed to mow.
Hence "The fraction that needs to be mowed is 2/3, The fraction division for the condition is x = 1 - 1/3".
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Katya is making rectangular table that is
3/4.The table has an area of
1 1/5 m2.How long is the table?
Answer:
which step by step
rectangular table
factor 3a^2b^2+15ab^3 please show work
Answer:
3ab²(a + 5b)
Step-by-step explanation:
3a²b² + 15ab³ ← factor out 3ab² from each term )
= 3ab²(a + 5b)
Which angle number represents an angle adjacent to
SOMEONE PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
The angle number represents an angle adjacent to ∠DGA is angle 2.
∠DGB.
Which angle is the adjacent angle?When two angles share a shared vertex and side, they are said to be neighboring. The terminus of the rays that create the sides of an angle is referred to as the vertex of an angle. Adjacent angles can be complimentary or supplementary if they have a shared vertex and side.
Briefing:Adjacent angles seem to be two angles that share a shared vertex and then a common side but do not overlap. Angles 1 and 2 in the figure are adjacent. They have the same vertex as well as a common side. In the diagram, angles 1 and 3 are not contiguous.
How can you recognize neighboring angles?When two angles have a common side as well as a common vertex (corner point) but do not overlap, they are said to be adjacent.
What's the distinction here between adjacent angle and?Adjacent angles comprise two angles with the same arm and vertex. When two lines meet at the vertex as well as form a pair of opposite angles, vertical angles are formed. They share an arm and a vertex. They share a vertex of the arm but no arm.
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Subtract.
(2x² + 5) - ( − 3x² + 5)
Answer:
Step-by-step explanation:
1) distribute the signs to the brackets
2x^2 + 5 + 3x^2 - 5
2) solve
5x^2 + 0
Hopefully, it's correct and helpful
is making a Rice Krispie cakes.
Timothy
A recipe uses 240g of chocolate and 160g of Rice Krispies to make 24 cakes.
(a) Write down the ratio of chocolate to Rice Krispies in its simplest form.
(b) How much Rice Krispies should Timothy use to make 30 cakes?
Sarah is making shortbread biscuits.
Answers to both the subparts are as follows:
(A) Ratio of chocolate to Rice Krispies in its simplest form: 3:2(B) Rice Krispies Timothy should use to make 30 cakes: 200gWhat are ratios?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, and the orange to total fruit ratio is 8:14. Ratios are used to compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula would be A/B. This means that you are dividing data A by data B. If A is five and B is ten, your ratio will be 5/10.So, (A) ratio of chocolate to Rice Krispies:
240g : 160g240/160 ⇒ 24/16 ⇒12/8 ⇒ 6/4 ⇒ 3/23 : 2Now, (B) Rice Krispies should Timothy use to make 30 cakes:
Rice Krispies used in 24 cakes: 160g
Then, Rice Krispies used on 1 cake:
160/24 ⇒ 80/12 ⇒ 40/6 ⇒ 20/3 ⇒ 6.67So, Rice Krispies used in 30 cakes:
6.67 × 30 = 200gTherefore, answers to both the subparts are as follows:
(A) Ratio of chocolate to Rice Krispies in its simplest form: 3:2(B) Rice Krispies Timothy should use to make 30 cakes: 200gKnow more about ratios here:
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Pls help me with my math
Choose the equation that represents the graph below (1point) graph of a line passing threw points negative 2 comma 0 and 0 comma negative 4 y =-2x- 4y=2x+4y=-2x+4y=2x-4
The equation of line is,
⇒ y = -2x - 4
What is equation of line?
The equation of line with slope m is given by;
⇒ y = mx + b
Now, The points are;
(-2, 0) and (0, -4)
Hence, slope = (-4 - 0) / (0 - (-2) = -4 / 2 = -2
Since, Equation of line with slope (m) is;
y = mx + b
Here, Slope (m) = -2
To find the value of b we use either of the points;
Take point (0,-4)
x = 0 and y = -4
We get after substitute;
-4 = -2(0) + b
-4 = b
Hence, The equation of line is,
⇒ y = -2x - 4
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y = -2x - 4
y= 3x + 1
What is the solution to the system of equations?
Answer:
x = -1
y = -2
Step-by-step explanation:
We are given the following equations:
[tex]y = -2x - 4[/tex]
[tex]y = 3x + 1[/tex]
As we can see, the expressions [tex]{-2x - 4}[/tex] and [tex]3x + 1[/tex] are both equal to [tex]y[/tex]. Therefore, we can equate them:
[tex]-2x - 4 = 3x + 1[/tex]
Now we can solve for [tex]x[/tex] by making [tex]x[/tex] the subject of the equation:
⇒ [tex]-2x - 4 -3x = 3x + 1 - 3x[/tex] [Subtracting [tex]3x[/tex] from both sides]
⇒ [tex]-5x - 4 = 1[/tex]
⇒ [tex]-5x - 4 + 4 = 1 + 4[/tex] [Adding 4 to both sides of equation]
⇒ [tex]-5x = 5[/tex]
⇒ [tex]\frac{-5}{-5}x = \frac{5}{-5}[/tex] [Dividing both sides by -5]
⇒ [tex]x = \bf -1[/tex]
Now that we know the value of [tex]x[/tex], we can calculate the value of [tex]y[/tex] by replacing the [tex]x[/tex] with -1 in any of the equations for [tex]y[/tex] given above:
[tex]y = 3x + 1[/tex]
⇒ [tex]y = 3(-1) + 1[/tex]
⇒ [tex]y = -3 + 1[/tex]
⇒ [tex]y = \bf -2[/tex]
Therefore, the solution to the system of equations is : x = -1, y = -2.
Answer:
x = -1
y = -2
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y = -2x - 4\\y= 3x + 1\end{cases}[/tex]
Use the method of substitution to solve for x:
[tex]\begin{aligned}& \textsf{Substitute}: & 3x+1 & = -2x-4\\& \textsf{Add $2x$ to both sides}: & 3x+1+2x & = -2x-4+2x\\& \textsf{Combine like terms}: & 5x+1 & = -4\\& \textsf{Subtract $1$ from both sides}: & 5x+1 -1& = -4-1\\& \textsf{Simplify}: & 5x & = -5\\& \textsf{Divide both sides by $5$}: & \dfrac{5x}{5} & = \dfrac{-5}{5}\\& \textsf{Simplify}: & x & = -1\end{aligned}[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\begin{aligned}& \textsf{Equation}: & y& = 3x+1\\& \textsf{Substitute in $x=-1$}: & y & = 3(-1)+1\\& \textsf{Multiply the numbers}: \quad & y & = -3+1\\& \textsf{Simplify}: & y & = -2\\\end{aligned}[/tex]
Therefore, the solution to the given systems of equations is (-1, -2).
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Consider the function ƒ(x)=|x+3|−1.
Which of the following statements describe the graph of f(x)? Select ALL that apply.
Responses
A. The vertex is located at (−3,−1).
B. There is a y-intercept located at (0,−2).
C. There is a y-intercept located at (0,2).
D. There is an x-intercept located at (2,0).
E. There is an x-intercept located at (−4,0).
The statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).
How to determine the true statements?The equation of the function is given as
f(x) = |x + 3| - 1
The above function is an absolute value function.
An absolute value function is represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex of f(x) is located at (−3,−1)
To calculate the y-intercept, we set x = 0
So, we have
f(0) = |0 + 3| - 1
Evaluate
f(0) = 2
This means that there is a y-intercept located at (0,2).
To calculate the x-intercept, we set y = 0
So, we have
|x + 3| - 1 = 0
Evaluate
x = -2
This means that there is a x-intercept located at (-2, 0).
Hence, the statements that describe the graph of f(x) are (a) the vertex of f(x) is located at (−3,−1) and (c) there is a y-intercept located at (0,2).
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Zendaya has $540 to spend at a bicycle store for some new gear
and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $269.88.
She buys 4 bicycle reflectors for $10.57 each and a pair of a
bike gloves for $17.76.
She plans to spend some or all of the money she has left to
buy new biking outfits for $65.65 each.
Write and solve an inequality which can be used to determine
x, the number of outfits Zendaya can purchase while staying
within her budget.
The inequality that can be used to determine x, the number of outfits Zendaya can purchase is 329.92 + 65.65x <= 540
How to write and solve an inequality which can be used to determine x, the number of outfits Zendaya can purchase while staying within her budget?The given parameters are:
Budget = $540
New bicycle = $269.88.
4 bicycle reflectors = $10.57 each
Pair of a bike gloves = $17.76.
New biking outfits = $65.65 each.
Let the number of new biking outfits be x
So, we have
New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget
This gives
269.88 + 4 * 10.57+ 17.76 + 65.65x <= 540
This gives
329.92 + 65.65x <= 540
Solve the inequality
65.65x <= 210.08
Divide by 65.65
x <= 3.2
Hence, the inequality that can be used to determine x, the number of outfits Zendaya can purchase is 329.92 + 65.65x <= 540
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Find the slope of the line that goes that goes through the giving points
(-9,-2) and (-7,6)
Answer:
8/2 or 4
Step-by-step explanation:
y^2 - y^1 / x^2 - x^1
I need to know how how to do these please.
The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.
What is negative correlation?When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.
The values of x and y in order of x are:
x 3 4 5 6 7 8 9
y 6 7 5 4 3 4 2
As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.
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8. You are planning to advertise your boat for sale on the Internet. The Boat Mart charges $1.30 for a photo plus $0.12 per word. Boat Bargains charges $1.80 for a photo plus $0.10 per word. For what number of words will the charges be the same?
Considering the definition of an equation and the way to solve it, for 25 words the charges will be the same.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
Group the terms that contain the variable to be calculated in one member and the independent terms in the other.When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Number of words
Being "x" the number of words, and knowing that:
The Boat Mart charges $1.30 for a photo plus $0.12 per word. → Boat Mart= 1.30 + 0.12xBoat Bargains charges $1.80 for a photo plus $0.10 per word. → Boat Bargains= 1.80 + 0.10xIf the charges are the same, the equation in this case is:
Boat Mart= Boat Bargains
1.30 + 0.12x= 1.80 + 0.10x
Solving:
0.12x - 0.10x= 1.80 - 1.30
0.02x= 0.5
x= 0.5 ÷ 0.02
x= 25
Finally, for 25 words the charges will be the same.
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Find the point t=4pi/3
The point t on the unit circle is ( -1/2, √3 /2 ).
The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces. Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.
Consider the point t = - 4π/3 on the circle.
Now, the reference angle is π / 3.
- 4π / 3 is in quadrant 2 where the value of cosine is negative and sine is positive.
Therefore, the point t(x,y) will be:
( x, y ) = ( - cos ( π / 3 ), sin ( π / 3 ) )
( x, y ) = ( - 1/ 2 , (√3 )/ 2 )
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Frances left a 22% tip on a meal. Including the tip, its cost was 21.96 what was the cost of the meal before the tip
Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.
How to solve for the cost of the tipLet us define x to be the cost of the meal
such that we would have
x + 22%x = 21.96
= x + 0.22x = 21.96
1.22x = 21.96
We would have to divide through the equation that we have by 1.22
x = 21.96 / 1.22
x = 18
X is the cost for the meal that that Frances ate before she gave the tip that she did to the waiter.
Hence we would conclude that If Frances left the tip of 22 percent on a meal, the cost of the meal before the tip would be 18 dollars.
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Question 3(Multiple Choice Worth 2 points)
(Solving Equations Using Square and Cube Roots LC)
Solve y³ = -8.
Pre-algebra 8th grade pls help thx!!
The cubic equation y³ = -8 has the value of y = -2 which is first option.
The cubic equation given to us is y³ = -8
We can shift the power from left hand side to right hand side but the cubic power would turn cube root of -8
We know that square root of any negative number is not a real number but in case of Cube roots , This is possible and the root with negative sign and simple root
Also, when we square root any number we add ± sign but in case of cube root we only add the sign of number whose cube root is taken
y³ = -8
y = ∛-8
y = ∛(-2)(-2)(-2)
y = ∛(-2)³
y = -2
So, The cubic equation y³ = -8 has the value of y = -2 which is first option.
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your sports drink is 5/6 full after practice its now 3/8 full write the difference of the amounts after practice and before pracices
Answer: The difference of the amounts after practice and before practices = 11/24
Step-by-step explanation:
Given data,
Initial quantity of drink = 5/6
After practice quantity = 3/8
difference of the amounts after practice and before practices
difference of amount = Initial quantity of drink - After practice quantity
= (5/6) - (3/8)
= (20-9)/24
difference of amount = 11/24
Therefore,
The difference of the amounts after practice and before practices = 11/24
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Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9
The fractional part of the quiz that he get correct will be 5/12.
How to calculate the value?From the information, Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9.
The fractional part of the quiz that he get correct will be
= 3/4 × 5/9
= 5/12
Therefore, the fractional part of the quiz that he get correct will be 5/12.
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Jeremiah finished 3/4 of his timed math quiz. Of those he attempted, he correctly answered 5/9. What fractional part of the quiz did he get correct?
help me please please please!!!!
Help solve the perimeter of this shape.
The perimeter CDE of the triangle is solved to be 9.66 (to the nearest hundredth)
How to find the perimeter of CDE
Given data
C ( 4, -1 )
D ( 4, -5)
E ( 2, -3 )
perimeter of CDE = CD + CE + DE
length = √(x2 - x1)^2 + (y2 - y1)^2
using C ( 4, -1 ) and D ( 2, -3 )
CD = √(4 - 4)^2 + (-1+5)^2
CD = √(4)^2
CD = 4
using C ( 4, -1 ) and E ( 2, -3 )
CE = √(4 - 2)^2 + (-1+3)^2
CE = √(2)^2 + (2)^2
CE = √8
using D ( 4, -5) and E ( 2, -3 )
CD = √(4 - 2)^2 + (-5 + 3)^2
CD = √(2)^2 + (-2)^2
CD = √8
the perimeter = 4 + √8 + √8
the perimeter = 4 + √8 + √8
the perimeter = 9.6568
the perimeter = 9.66 (to the nearest hundredth)
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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3005 to rent trucks plus an additional fee of $100.50 for each ton of sugar. The second company does not charge to rent trucks but charges $250.75 for each ton of sugar.
The amount of sugar that the two companies charge the same is 20 tons
The cost when the two companies charge the same is $5,015
What is breakeven amount of sugar for the two companies?
The amount of sugar that the two companies charge the same is derived at the point when the total cost of both companies are the same, bearing in mind that the total cost in this case is made of fixed cost to rent truck and variable cost, which is additional fee for each ton of sugar moved.
First company:
TC=3005+100.50x
Second company:
TC=250.75x
3005+100.50x=250.75x
3005=250.75x-100.50x
3005=150.25x
x=3005/150.25
x=20 tons of sugar
Total cost of 20 tons=250.75*20=$5,015
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Full question:
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3005 to rent trucks plus an additional fee of $100.50 for each ton of sugar. The second company does not charge to rent trucks but charges $250.75 for each ton of sugar
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answer:
7 miles
Step-by-step explanation:
hey
minus 1.30 from 31.05 because that is the pickup fee, so 31.05-1.30= 29.75
and then divide 29.75 by 4.25 therefore 29.75/4.25=7
John runs a cake bakery in his home town he wants to bake a chocolate cake needs 3 1/4 of melted chocolate milk and 2 1/2 of melted dark chocolate milk much will he need together?
Answer:
J.o.i.n p.l.z zfd-isvq-wrr
Which graph represents the inequality 0.5 is greater than the product of −2.5 and a number?
number line with open circle on point 0.2 and arrow shaded to the left
number line with open circle on point negative 5 and arrow shaded to the left
number line with open circle on point negative 0.2 and arrow shaded to the right
number line with open circle on point negative 5 and arrow shaded to the right
The correct graph representation of the given inequality is,
⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
The written expression is given as,
0.5 is greater than the product of −2.5 and a number.
Let a number is x.
Then, The given expression is written as;
0.5 > -2.5x
Now, We can solve as;
0.5 > -2.5x
Multiply by -1 we get;
- 0.5 < 2.5x
-0.2 < x
Hence, The graph of inequality is;
⇒ Number line with Open circle on point negative 0.2 and arrow shaded to the right.
So, The correct graph representation of the given inequality is,
⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.
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Answer:
A
Step-by-step explanation:
A number is divided by 3, and then 4 is added to the quotient. the result is 8 find the number
NEED SOLUTION
Give the quotient of the following:
Need solution
1.168 ÷ 8
2.246÷12
3.4328÷4
4.729÷9
5.8415÷5
Answer
1.168 ÷ 8= 0.146
2.246÷12= 0.1871
3.4328÷4=0.8582
4.729÷9=0.5254
5.8415÷5=1.168
Step-by-step explanation:
What is the value or r^2 for the following data to three decimal places.
X. Y
3. 2
4. 4
5. 5
7. 6
10. 20
The value of r² is 0.8673.
Given that x and y are two variables as listed below
We have to find r² the coefficient of determination
x y xy x² y²
3 2 6 9 4
4 4 16 16 16
5 5 25 25 25
7 6 42 49 36
10 20 200 100 400
------------------------------------------
29 37 289 199 481
Mean x = ( 29 / 5 )
Var X= ( 199 / 5 ) - 29 =10.8,
Mean Y = 7.4, Var Y = ( 481/5 ) - 37 = 96.2 - 37 = 59.2
Now,
r = { n(∑xy ) - (∑x)(∑y) } / √ { n( ∑x²) - (∑x )² ) × [ n(∑y²) - (∑y)² ] }
r = { 5 × 289 - 29 × 37 } / √ { ( 5 ( 199 ) - (29)² ) × [ 5( 481 - ( 37 )² ] }
r = { 1445 - 1073 } / √ { ( 995 - 841 ) × [ 2405 - 1369 ] }
r = 372 / √ { ( 154 ) × [ 1036 ] }
Therefore,
r² = ( 372 )² / ( 154 ) × [ 1036 ]
r² = 0.8673
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PLEASE PLEASE HELP ME!!
which one do you need answered look it up