Answer:
the quotient is 2
Step-by-step explanation:
4/1=4
4/2=2
Solve the inequality for x
5 3/2 x 2 1/3
Answer:
A
Step-by-step explanation:
5 - \(\frac{3}{2}\) x ≥ \(\frac{1}{3}\)
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
30 - 9x ≥ 2 ( subtract 30 from both sides )
- 9x ≥ - 28
divide both sides by - 9 , reversing the symbol as a result of dividing by a negative quantity.
x ≤ \(\frac{28}{9}\)
How do the values of the 5s in the puffin weights compare?
On the right hand side 5 has the value of a tenth while on the left hand side 5 is a unit.
What is place value?The term place value refers to the value that is attached to a number. We know that the place value can tell us how to assign a mathematical value to a number.
We have to look at the 5s on the both sides. On the right hand side 5 has the value of a tenth while on the left hand side 5 is a unit.
In the case of 7, it is has a value of unit on the left hand side but value of hundredth on the right hand side.
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Evaluate the piecewise function
The solution of the composite function fog(x) = 3x + 3 at x > 2.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
We have three piecewise function.
First we have to show that,
the composite function,
fog(x) at x > 2.
For that,
g(x) at x > 2 is,
g(x) = 3x.
Now, f(g(x)),
= f(3x)
= 3x + 3 at x > 2.
Therefore, the function is fog(x) = 3x + 3.
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The complete question:
Find the fog(x) at x > 2
1. Jamar has two bowls of fruit from which he can choose a
snack when he gets home from school. One bowl has 1 yellow,
1 red, and 2 green apples. The other bowl has 5 each of
boysenberries, strawberries, blueberries, and blackberries.
What is the probability that he gets a yellow apple and a
boysenberry when he reaches into the bowls?
Answer:
One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.
Step-by-step explanation:
A box rectangular prism has an end that is 3 by 5 ft in dimension it’s length is 10 feet what is the volume of the prism
Answer:
150
Step-by-step explanation:
Multiply 3 x 5 x 10
Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
4a2 - 1
c) 2а – За – 2
How can you find the sum of the angle measures in a triangle?
Answer:
a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.
Pls help will rate 5 stars and maybe also brainliest. Pls help anyways tysm
Answer:
1. Decimal: 0.1 Fraction: 1/10
2. Decimal: 0.8 Fraction: 8/10
3. Decimal: 0.4 Fraction: 4/10
4. Decimal: 0.6 Fraction: 6/10
5. Decimal: 0.7 Fraction: 7/10
Explaination:
brainliest me if it helps!
NEED HELP ASAP!!!
Paula Demaline is looking at a new sedan that has a base price
of $37,580, options totaling $2,365, and a destination charge of $680.
The dealer's cost is 91.5% of the base price and 89.5% of the options price.
a. What is the sticker price of the vehicle?
b. What is the estimated dealer's cost?
c. What will she pay if she can buy the vehicle for $25 less
than the dealer's cost?
Answer:
a. To calculate the sticker price of the vehicle, we need to add up the base price, options price, and destination charge. The sticker price is therefore $37,580 + $2,365 + $680 = $40,625.
b. To calculate the dealer's cost, we first need to calculate the cost of the base price and the options price. The cost of the base price is $37,580 x 91.5% = $34,299. The cost of the options is $2,365 x 89.5% = $2,103. The total dealer cost is therefore $34,299 + $2,103 + $680 = $37,082.
c. If Paula can buy the vehicle for $25 less than the dealer's cost, she will pay a total of $37,082 - $25 = $37,057.
Step-by-step explanation:
Please help me
liza uses a total of 20 cups of batter to make x cupcake and a cake .he uses 2/3 cup of batter for each cupcake 4 cups of batter for the cake.
How many cupcakes x , can liza make she uses the batter.
Answer:
I think it is 24 cupcakes
100 points for correct answer!!!!
Step-by-step explanation:
Let the argumented matrix:
[ 3-1 +9]
[ 2+1 -4]
We solve the matrix by Gauss- Jordan Eleminating:
Let denote the above matrix like A.
Let the denote the row by 1 by R1 =[3 -1 | +9]
And let denote rhe row 2 by R2= [ 2 +1 | -4]
So, we will apply the elementary operations per row
First operation: R2=3 R2, then [-3 -9| 9]
[ 6 3| -72]
Second operation: R2 = R2/ 2
[ 3 -7| 9]
[ 3 3/2 | -6]
Now, R2 = R2 - R1
[3 -7| 9 ]
[0 5/2 | -15]
R2=R2÷(5/2), That is :
R1=R1/3
R1=R1+( 1/3) R2
That Is : + (1/3) R2
That is :
[1 0| 1]
[ 0 1| -6]
So the above- argumented matrix is equivalent to the following linear system of equations:
1x +0 y =1
0x+1y= -6
That is
x=1
y= -6
One solution for the matrix A is (1, -6)
The correct solution will be ( 1, -5)
Answer:
she is right
Step-by-step explanation:
NASA uses a launch clock to measure time before and after lift-off. It takes 2 hours and 15 minutes of preparations on base, 20 minutes to travel to the launch pad, and 40 minutes of pre-launch checks once in the spacecraft. When should the astronauts begin preparation?
–3 hours 15 minutes, because all the preparation times add to 3 hours and 15 minutes
–3 hours 35 minutes, because all the preparation times add to 3 hours and 35 minutes
–2 hours 35 minutes, because all the preparation times add to 2 hours and 35 minutes
–2 hours 15 minutes, because all the preparation times add to 2 hours and 15 minutes
Answer:
–3 hours 15 minutes, because all the preparation times add to 3 hours and 15 minutes
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
i took the quiz
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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What are the coordinates of its image, J'K'L, if this
triangle is dilated by a factor of 5 with respect to the
origin?
J'(2,7),K (8,7), and L'(5, 1)
O J'(-5, 2), K (5,2), and L'(0, -5)
J'(-3, 2), K (8, 2), and L'(0, -9)
J'(-15, 10), K (15, 10), and L'(0, -20)
Its the last one. I just took the quiz on edge.
Step-by-step explanation: The scale factor is 5. You mutiply 5 with the coordinates. J is (-3,2) so multiply 5 and -3 which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)
How many days are in 52 weeks?
Answer:
A year but -1.
Step-by-step explanation:
52x7=364.
Hope this helps!
Answer:
there are 364 days in 52 weeks.
Step-by-step explanation:
To find out how many days are in 52 weeks you have to multiply the amount of days there are in a week by 52, there are 7 days in a week and 7 times 52 is 364 so the answer is 364
Integrate the following w.r.t x 1) 2x^2/3.
2) (5-x)^23
Answer:
A) \(\int\frac{2x^2}{3}dx=\frac{2x^3}{9}+C\)
B) \(\int(5-x)^{23}dx=-\frac{(5-x)^{24}}{24}+C\)
Step-by-step explanation:
A)
So we have the integral:
\(\int\frac{2x^2}{3}dx\)
First, remove the constant multiple:
\(=\frac{2}{3}\int x^2\dx\)
Use the power rule, where:
\(\int x^ndx=\frac{x^{n+1}}{x+1}\)
Therefore:
\(\frac{2}{3}\int x^2\dx\\=\frac{2}{3}(\frac{x^{2+1}}{2+1})\)
Simplify:
\(=\frac{2}{3}(\frac{x^{3}}{3})\)
And multiply:
\(=\frac{2x^3}{9}\)
And, finally, plus C:
\(=\frac{2x^3}{9}+C\)
B)
We have the integral:
\(\int(5-x)^{23}dx\)
To solve, we can use u-substitute.
Let u equal 5-x. Then:
\(u=5-x\\du=-1dx\)
So:
\(\int(5-x)^{23}dx\\=\int-u^{23}du\)
Move the negative outside:
\(=-\int u^{23}du\)
Power rule:
\(=-(\frac{u^{23+1}}{23+1})\)
Add:
\(=-(\frac{u^{24}}{24})\)
Substitute back 5-x:
\(=-(\frac{(5-x)^{24}}{24})\)
Constant of integration:
\(=-\frac{(5-x)^{24}}{24}+C\)
And we're done!
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee help asap timed test
A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin.
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer: 3 and 7/4
Step-by-step explanation:
Because all the other answers are a negative slope or undefined.
The graph shown is positive so the slope has to be positive.
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For Zendaya's lemonade recipe, 3 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
The unit rate of cups of lemonade per lemon is in the ratio of 6:1.
What is the unit rate?The unit rate is the ratio of two or more quantities or values that are compared to one another.
Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.
Zendaya's Lemonade Recipe:The number of lemons required to make 18 cups of lemonade = 3 lemons
Rate of lemonade per lemon = 18/3 = 6/1
Ratio = 6:1 or 1:6
Conversely, the rate of lemon per cup of lemonade = 1/6
Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.
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I heed help doing this can someone pls help me!!!
Answer:
36
Step-by-step explanation:
4(5(2)-1)
4(10-1)
4(9)
36
Hope this helps!
The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?
Answer:
V≈33238.05
Step-by-step explanation:
The circumference of the cylinder base is
= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.
That is ( 2 )(pi)( r ) = ( 44 )cm or
( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.
I have approximated ( pi ) as ( 3.14 ) for this calculation.
The area of the cylindrical base is ( pi )*( radius )^2
Therefore area of the base
= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.
Volume of Cylinder
Volume = Atea of the base multiplied by cylinder height or
= ( 154.1415 ) * ( 7 )
= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.
Lateral Surface Area
The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.
= ( 44 )*( 7 ) = ( 308 ) cm squared
Inherent Assumption
It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.
Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
For a moving object, the force is acting on the object varies directly with the object’s acceleration. When a force of 9 N acts on a certain object, the acceleration of the object is 3 m/s^2. If the acceleration of the object becomes 4 m/s^2, what is the force?
Answer:
12 Newtons
Step-by-step explanation:
We can use Newton’s Second Law to find the mass first.
F = ma
9 = 3m
mass = 3
Substitute this into the second equation.
F = ma
F = 3(4)
F = 12N
Hope this helps! :D
Graph the following inequality
y≤ ¹/2x-4
The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have the Inequality y≤ 1/2 x -4.
Now, we plot the inequality on the Graph as shown by the red region.
As, the inequality intersect the axis at (0, -4) and (8, 0).
Thus, the solution is (0, -4) and (8, 0).
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The price of a share of one stock fell from $8.75 to $8.54. Find the percent change.
Answer: 2.5%
Step-by-step explanation:
8.54 / 8.75 =0.975
1 - 0.975 = 0.025
0.025 x 100% ( and nearest thenth)
=2.5%
In ΔGHI, g = 240 cm, m m∠H=157° and m m∠I=17°. Find the length of h, to the nearest 10th of a centimeter.
Check the picture below.
\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)
Make sure your calculator is in Degree mode.
8
5-
8. Solve:
(4-2)(6 - 5)
Answer:
2Step-by-step explanation:
\((4-2)(6 - 5)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(4-2\right)\::\quad 2\\=2\left(6-5\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(6-5\right)\::\quad 1\\=2\times\:1\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times\:1\:\\:\quad 2\)
Answer:
2
Step-by-step explanation:
Since this expression contains no variable, you can't "solve it."
All y ou can do is to "evaluate it."
(4 - 2) becomes 2 and (6 - 5) becomes 1.
Thus, (4-2)(6 - 5) = (2)(1) = 2
is 12/4 and 21/7 proportional?
Answer:
Yes
Step-by-step explanation:
12 ÷ 4 = 3
21 ÷ 7 = 3
3 = 3
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
tAnswer:
Step-by-step explanation:2+2= 4
5_5=0