Answer: Dominant. The answer is dominant.
Ashley went shopping at the mall she spent 2/5 of her money on new shoes and 1/6 of her money on new jeans. What fraction part of her money remain?
Answer: 13/30 remaining
Step-by-step explanation:
well... 1 - 2/5 - 1/6 = 13/30 remaining
we use "1" to denote the money she began with
1/2, 5/2, 12/4, 1/6, 7/8 ordered least to greatest
Answer:
1/6, 1/2, 7/8, 1/6
Step-by-step explanation:
1/6= .1666666667
1/2=.5
7/8=.875
5/2=2.5
1/6 is the smallest number than 1/2 than 7/8 and 5/2 is the greastest number.
Which list of decimal numbers is in ascending order?
0.13, 0.31, 0.04, 0.5
1.411, 1.2, 1.056, 1.007
12.252, 12.26, 12.387, 12.4
6.009, 6.015, 6.241, 6.2
Answer:
12.252, 12.26, 12.387, 12.4
Step-by-step explanation:
These are the only numbers in a series that are always increasing.
The first series (0.13, 0.31, 0.04, 0.5) and fourth series (6.009, 6.015, 6.241, 6.2) all have an area where they decrease (0.04 and 6.2 respectively).
The second series of numbers is in decreasing order, rather than increasing order. This can not be the answer.
Step-by-step explanation:
C. will be your answer.
Given: m∠7 = 50°. Find m∠1.
A) 40°
B) 50°
C) 120°
D) 130°
Without further information or context like a diagram, it's not possible to accurately determine the measure of angle 1 based on the given measure of angle 7.
Explanation:Without a diagram or additional information, it's impossible to definitively determine the measure of angle 1 (m∠1) based only on the measure of angle 7 (m∠7 = 50°). In geometry, the relationship between two angles can vary largely depending on their position relative to each other. For instance, if angle 1 and angle 7 are complementary angles, m∠1 would be 40°. However, if they're supplementary, m∠1 would be 130°. If they're vertical or corresponding angles, m∠1 would be equal to m∠7, which is 50°.
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I just need (C) nothing else but C
If you can do it you are amazing!
Answer:
(5,1)
Step-by-step explanation:
Equation of a straight ine in slope intercept form is [tex]y-y_{1} =m\times(x-x_{1} )[/tex]. from that calculate the both equations of straight lines sidewalks1 and sidewalks2 they are x+y=6 and 2x+y=11 on solving both of the equations we get the value of x to be 5 and the value of y to be 1.hence the system of linesr equations intersect at the point (5,1).
Use synthetic division to evaluate f(x)=3x3+x2−5x−14 when x=−2 .
To evaluate f(x)=3x3+x2−5x−14 when x=−2, use synthetic division to divide the polynomial by -2 and find the resulting value.
Explanation:To evaluate f(x) = 3x^3 + x^2 - 5x - 14 when x = -2, we can use synthetic division. First, set up the synthetic division table with -2 as the divisor and the coefficients of the polynomial as the dividend.
Perform the synthetic division by bringing down the first coefficient, multiplying it by the divisor and adding it to the next coefficient, then continuing the process until you reach the last coefficient. The result in the last row of the table will be the evaluated value of the polynomial.
In this case, the evaluated value of f(x) when x = -2 is 0.
Final answer:
To evaluate f(x)=3x^3+x^2-5x-14 when x=-2, use synthetic division to divide the polynomial by x + 2.
Explanation:
To evaluate f(x)=3x^3+x^2-5x-14 when x=-2, we can use synthetic division. First, write the coefficients of the polynomial in order: 3, 1, -5, -14. The divisor will be x - (-2), which simplifies to x + 2. Set up the synthetic division table and perform the division. The result will be the quotient and the remainder. In this case, the quotient is 3x^2 - 5x - 7 and the remainder is -20.
Match the reasons with the statements given. Given: A = B M is midpoint of Prove: AMC BMC 1. ∠A = ∠B, M is midpoint of AB Given 2. AM = MB Sides opposite = ∠s are = 3. AC = BC SAS 4. Triangle AMC congruent to Triangle BMC Definition of midpoint
Answer with Step-by-step explanation:
We are given that
M is the mid point of AB
[tex]\angle A=\angle B[/tex]
We have to match the reasons with statements given in proof.
Proof:
1.Statement:[tex]\angel A=\angle B[/tex], M is the midpoint of AB
Reason: Given
2.Statement:[tex]AM=MB[/tex]
Reason: Definition of midpoint
3.Statement:[tex]AC=BC[/tex]
Reason:Opposite sides of equal angle are equal.
4.Statement:[tex]\triangle AMC\cong \triangle BMC[/tex]
Reason:SAS Postulate
Answer:
Proof is below.
Step-by-step explanation:
Given: < A = < B , M is the midpoint of AB
Definition of midpoint: AM = MB
Sides opposite = <'s are equal: AC = BC
Triangle AMC congruent to triangle BMC: SAS
Hence, proved.
For a particular event, 709 tickets were sold for a total of $1,780. If students paid $2 per ticket and non students paid $3 per ticket, how many student tickets were sold
Answer:
709
Step-by-step explanation:
A triangle with area 45 square inches has a height that is two less than four times the width. Find the width and height of the triangle.
Answer:
The width is 5 inches and the height is 18 inches.
Step-by-step explanation:
The area of a triangle can be calculated as:
A = w*h/2
where w is the width of the base, and h is the height.
then we have that:
w*h/2 = 45 in^2
and the height is 2 less than 4 times the width.
h = 4*w - 2in
then we have a system with 2 equations:
w*h/2 = 45 in^2
h = 4*w - 2in
We can replace the second one in the first one and solve it for w.
w*(4*2 - 2in)/2 = 45 in^2
2w^2 - w = 45in^2
2w^2 - w - 45in = 0
then we have to solve the quadratic equation:
the solutions are:
w = (1 +- √(1^2 - 4*2*(-45))/(2*2) = (1 + - √361)/4
where we have two solutions for w, one for each sign of the square root.
we obviously need to take the positive solution (because we can not have a negative length)
w = (1 + √361)/4 = 5in
now, we can replace it in the equation "h = 4*w - 2in" to get the height.
h = 4*5in - 2in = 18in
The width and height of the triangle can be calculated using the given information and the equations for the area of a triangle and the relationship between the width and height.
Explanation:The subject of this question is algebraic problem solving, specifically involving the concept of an area of a triangle. First, we need to remember that the area of a triangle is calculated using the formula A = 1/2 * base * height. We know that the area equals 45 square inches, so we can write an equation: 45 = 1/2 * width * height. Additionally, the question states that height is two less than four times the width, which is another equation: height = 4 * width - 2.
Now, we can substitute the height (which is 4 * width - 2) into our formula for the area. This gives us the equation: 45 = 1/2 * width * (4 * width - 2), which will allow us to solve for the width of the triangle. After solving for the width, we can use the equation height = 4 * width - 2 to find the height of the triangle.
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The product of 2 numbers is -33 whereas their difference is -12. Find the numbers. Hint: There are 2 PAIRS of numbers...
Answer:
Let the two nos. Be x and y
xy = -32
x - y = -12
(x-y)^2 = (x+y)^2 - 4xy
144 = (x+y)^2 + 128
16 = (x+y)^2
Therefore x+y = +4, -4
When x+y = +4, x-y = -12
x = -4, y = 8
When x+y = -4, x-y = -12
x= -8, y = 4
Hope this helps!
Answer:
Step-by-step explanation:
Numbers : 8 or -8 4, or -4
-8*4=-32 -4+8= -32
-8-4= -12 -4-8 = -12
Are the values of -3/0 and 0/-3 the same?
Explain how you know please.
Answer:
No
Step-by-step explanation:
-3/0 is actually undefined because dividing by zero is undefined but 0/-3=0 because 0 divided by anything is 0.
Solve for x(.07)+x=14.70
Answer:
[tex]\large\boxed{x=13\dfrac{79}{107}\approx13.74}[/tex]
Step-by-step explanation:
[tex]x(0.07)+x=14.70\qquad\text{combine like terms}\\\\(0.07+1)x=14.70\\\\1.07x=14.70\qquad\text{divide both sides by 1.07}\\\\x=\dfrac{14.70}{1.07}\\\\x=\dfrac{14.70\cdot100}{1.07\cdot100}\\\\x=\dfrac{1470}{107}\\\\x=13\dfrac{79}{107}\approx13.74[/tex]
Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)}
Step-by-step explanation:
For any function,any point in the domain has a unique image in the codomain.
For set [tex]A[/tex]:
[tex]f(8)=-5[/tex] from the point [tex](8,-5)[/tex]
[tex]f(8)=7[/tex] from the point [tex](8,7)[/tex]
For a same point [tex]8[/tex],there are two images.
So,[tex]A[/tex] does not represent a function.
For set [tex]B[/tex]:
[tex]f(7)=-4[/tex] from the point [tex](7,-4)[/tex]
[tex]f(7)=-2[/tex] from the point [tex](7,-2)[/tex]
For a same point [tex]7[/tex],there are two images.
So,[tex]B[/tex] does not represent a function.
What is the slant height, s, of the triangular prism?
Round your answer to the nearest tenth.
HELP ASAP!!!
Answer:
5.4
Explanation:
a²+b²=c²
2²+5²= 4+25
4+25=29
Now we have to square root the 29 which would make the answer 5.4
5.4 is the slant height of the triangular prism.
Application of Pythagoras theorem
The given figure is a triangular based pyramid and in order to determine the slant height, we will apply the pythagoras theorem as shown:
Hypotenuse = s
Opposite = 5
Adjacent = 4/2 = 2
According to the theorem:
hyp² = opp² + adj²
Substitute
s² = 5² + 2²
s² = 25 + 4
s² = 29
s = 5.4
Hence the slant height, s, of the triangular prism is 5.4
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8. Write an equation in standard form for a line
that passes through (2, 2) and (12, -3).
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have two points through which the line passes:
[tex](x_ {1}, y_ {1}): (2,2)\\(x_ {2}, y_ {2}): (12, -3)[/tex]
We found the slope:
[tex]m = \frac {y_ {2} -y- {1}} {x_ {2} -x_ {1}} = \frac {-3-2} {12-2} = \frac {-5} {10 } = - \frac {1} {2}[/tex]
Thus, the equation is of the form:
[tex]y = - \frac {1} {2} x + b[/tex]
We substitute one of the points and find "b":
[tex]2 = - \frac {1} {2} (2) + b\\2 = -1 + b\\2 + 1 = b\\b = 3[/tex]
Finally, the equation is of the form:
[tex]y = - \frac {1} {2} x + 3[/tex]
We write the equation of the standard form[tex]ax + by = c[/tex]
[tex]y-3 = -\frac {1} {2} x\\2y-6 = -x\\x + 2y = 6[/tex]
ANswer:
[tex]x + 2y = 6[/tex]
Which function equation is represented by the
graph?
f(x) = 20(1.5)^x
f(x) = 20(1.4)^x
f(x) = 20(2.5)^x
f(x) = 20(2.25)^x
please hurry in a test
Answer:
[tex]f(x)=20(2.5^x)[/tex]
Step-by-step explanation:
we know that
The function of the graph is a exponential function of the form
[tex]f(x)=a(b^x)[/tex]
Looking at the graph
we have the points
(0,20) and (1,50)
Remember that if a point lie on the graph, then the point must satisfy the function
Verify each case
For x=1, f(x)=50
case 1) we have
[tex]f(x)=20(1.5^x)[/tex]
For x=1
[tex]f(1)=20(1.5^1)=30[/tex]
so
[tex]30\neq 50[/tex]
therefore
This function is not represented by the graph
case 2) we have
[tex]f(x)=20(1.4^x)[/tex]
For x=1
[tex]f(1)=20(1.4^1)=28[/tex]
so
[tex]28\neq 50[/tex]
therefore
This function is not represented by the graph
case 3) we have
[tex]f(x)=20(2.5^x)[/tex]
For x=1
[tex]f(1)=20(2.5^1)=50[/tex]
[tex]50=50[/tex]
For x=0
[tex]f(0)=20(2.5^0)=20[/tex]
[tex]20=20[/tex]
therefore
This function is represented by the graph
case 4) we have
[tex]f(x)=20(2.25^x)[/tex]
For x=1
[tex]f(1)=20(2.25^1)=45[/tex]
so
[tex]45\neq 50[/tex]
therefore
This function is not represented by the graph
Answer:
f(x)=20(2.5)x
Step-by-step explanation:
did the test and was correct
3x² + 7x - 5 + 2x²
Simplify
Answer:
3x^2 + 7x - 5 + 2x^2
= 5x^2 + 7x - 5 (a=5, b=7, c=-5)
x = (-b+/- √(b^2 - 4ac))/2a
= (-7+/- √(49+100))/10
= (-7+√149)/10, (-7-√149)/10
Hope this helps!
An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 36 pieces of furniture and must sell at least $3400 worth of chairs and tables. If 23 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions , submit an empty answer.
Answer:
All possible values for the number of tables that the store must sell in order to meet the requirements are 9, 10, 11, 12, 13.
Step-by-step explanation:
Let x be the number of chairs sold and y be the number of tables sold.
Chairs are sold for $50 each, then x chairs cost $50x.
Tables are sold for $250 each, then y tables cost $250y.
In total, x chairs and y tables cost $(50x+250y).
Every day, the store can ship no more than 36 pieces, then
[tex]x+y\le 36[/tex]
Every day, the store must sell at least $3,400 worth of chairs and tables, then
[tex]50x+250y\ge 3,400[/tex]
If 23 chairs were sold, then x = 23. Substitute it into the inequalities:
[tex]23+y\le 36\Rightarrow y\le 13\\ \\50\cdot 23+250y\ge 3,400\Rightarrow 250y \ge 2,250,\ \ \ y\ge 9[/tex]
Thus [tex]9\le y\le 13[/tex]
This means all possible values for the number of tables that the store must sell in order to meet the requirements are 9, 10, 11, 12, 13.
Answer:
9,10,11,12,13
Step-by-step explanation:
cuz
7(8+4k)+12 What is the answer?
Answer:
68+28k
Step-by-step explanation:
The sport boosters club is having a bake sale to buy uniforms. They want to raise $250. They need to rent a booth for $20. How many dozen cookies will they need to sell if they charge $3 per dozen? Which equation could be used to solve this problem
Answer:
3x - 20 = 250
Step-by-step explanation:
Given,
The cost of cookies per dozen = $ 3,
Let x be the number of dozen cookies sold,
So, the cost of x dozen of cookies = x × cost of cookies per dozen
= 3x
Now, the amount of rent = $ 20,
Thus, total earning = cost of x dozen of cookies - rent
= 3x - 20
If $ 250 is needed to raise,
Then total earning = $ 250
⇒ 3x - 20 = 250
Which is the required equation.
Problem Page A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 4 pounds of trail mix, the total cost is $25 . For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $10 . Find the cost for each pound of jelly beans and each pound of trail mix.
Each pound of jelly costs $2.5 and each pound of trail mix costs $1.25
Step-by-step explanation:
Let,
Cost of jelly beans = x
Cost of trail mix = y
According to given statement;
8x+4y=25 Eqn 1
3x+2y=10 Eqn 2
Multiplying Eqn 2 by 2;
[tex]2(3x+2y=10)\\6x+4y=20\ \ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 1;
[tex](8x+4y)-(6x+4y)=25-20\\8x+4y-6x-4y=5\\2x=5[/tex]
Dividing both sides by 2;
[tex]\frac{2x}{2}=\frac{5}{2}\\x=2.5[/tex]
Putting x=2.5 in Eqn 1
[tex]8(2.5)+4y=25\\20+4y=25\\4y=25-20\\4y=5[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{5}{4}\\y=1.25[/tex]
Each pound of jelly costs $2.5 and each pound of trail mix costs $1.25
Keywords: linear equations, subtraction
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Six equally share the cost of a gift. They pay $90 and receive 42$ in change. How much does each friend pay
Answer:
$8 each
Step-by-step explanation:
Cost of the gift= $90- $42= $48
Each friend pays: $48 divided by 6= $8
The total cost of the gift is $48, which is calculated by subtracting the change received ($42) from the amount paid ($90). Divided by six friends, each friend pays $8 for the gift.
Calculating Individual Payments for a Gift
To determine how much each friend pays for the gift, we first need to calculate the total cost of the gift. The friends together paid $90, and they received $42 in change. This means that the actual cost of the gift is the amount paid minus the change received:
Total cost of the gift = $90 - $42 = $48
Since six friends are sharing the cost equally, we divide the total cost by the number of friends to find out how much each person pays. To find the amount each friend pays:
Cost per friend = Total cost of the gift / Number of friends
Cost per friend = $48 / 6 = $8 per friend.
Therefore, each friend pays $8 for the gift.
Help please anyone help please
Answer:
Answer is (-5,1)
Step-by-step explanation:
Plug in the values and find the only one in the shaded region.
Answer:
I think it would be D, (1,2)
What is 8.235 x 10 to the negative four power
Answer:
0.0008235
Step-by-step explanation:
8.235 x 10⁻⁴
10 to the exponent of a negative number means the decimal place is moved to the left to make the number smaller.
Move the decimal place 4 over the left.
0.0008235
write the pair of fractions as a pair of fractions with a common denominator 3/4 and 2/5
Answer:
The common denominator [tex]\frac{15}{20}[/tex] and [tex]\frac{8}{20}[/tex]
Step-by-step explanation:
To find the common denominator:
We have to find the LCD of the denominators.Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.Here is the work:
LCD of [tex](4,5)[/tex] is [tex](4\times 5)=20[/tex].
So we will divide [tex]20[/tex] with [tex]4[/tex] and then with [tex]5[/tex] the quotient will further be put into the fraction.
So
[tex]\frac{20}{4}=5[/tex] will make the fraction [tex]\frac{3}{4}[/tex] as [tex]\frac{3\times 5}{4\times 5} =\frac{15}{20}[/tex].
Similarly
[tex]\frac{20}{5}=4[/tex] will make the fraction [tex]\frac{2}{5}[/tex] as [tex]\frac{2\times 4}{5\times 4} =\frac{8}{20}[/tex].
Hence with common denominators the fraction can be written as [tex](\frac{15}{20}),(\frac{8}{20})[/tex].
Xintercept for the quadratic function f(x)=x²-8x
Answer:
x=0 and x=8
Step-by-step explanation:
The x-intercept is on the x-axis, so we must find x when y=0. f(x) is basically y and y=0, so 0=x^2-8x= x(x-8). For x(x-8) to equal 0, either x is equal to 0 (x=0) or x-8 is equal to 0 (so x is equal to 8). So the two intercepts are x = 0 and x = 8.
I hope this helped! :)
the length of a rectangle is represented by (6x-2), and the width is represented by (x-1). which expression best represents the perimeter of the rectangle?
The perimeter of given rectangle can be given by: [tex]14x-6[/tex]
Step-by-step explanation:
Let
L be the width of the rectangle and
W be the width of the rectangle
Here,
L = 6x-2
W=x-1
The perimeter of rectangle is given by:
[tex]P=2(L+W)[/tex]
Putting the values of L and W
[tex]P=2[(6x-2)+(x-1)]\\=2(6x-2+x-1)\\=2(7x-3)\\=14x-6[/tex]
The perimeter of given rectangle can be given by: [tex]14x-6[/tex]
Keywords: Rectangle, Perimeter
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Your friend is 1.25 times taller than you. Your friend is 60 inches tall. How tall are you?
Answer:
You are 48 inches
Step-by-step explanation:
You would just do the opposite of multiplication which is division so do 60/1.25 is 48 inches
please help im confused
Answer:
a₂ = 13
a₃ = 11
Step-by-step explanation:
Given a₁ = 15
The recursive formula is given as: [tex]$ a_n = a_{n - 1} - 2 $[/tex]
This means that [tex]$ n^{th }[/tex] term is determined by subtracting 2 from the [tex]n -1^{th }[/tex] term.
Here, [tex]$ a_1 = 15 $[/tex]
Therefore, [tex]$ a_2 = a_1 - 2$[/tex]
= 15 - 2 = 13
Now, [tex]$ a_3 = a_2 - 2 $[/tex]
= 13 - 2 = 11
Therefore, a₂ = 13
a₃ = 11
Brooke draws a quadrilateral on a canvas in her art class.Is it possible for Brooke to draw a parallelogram that is not a rectangle?
Answer:
Well, a parallelogram is a four-sided figure with opposite sides parallel. A rectangle is a figure with four straight sides and four right angles, and two of those sides are adjacent and unequal So, in short, all rectangles are parrolegrams but not all parrolelograms are rectangles. The answer would be: Yes, it is possible.
Yes, it is possible for Brooke to draw a parallelogram that is not a rectangle.
Explanation:Yes, it is possible for Brooke to draw a parallelogram that is not a rectangle. A parallelogram is a quadrilateral with opposite sides that are parallel. While a rectangle is a specific type of parallelogram with four right angles, other parallelograms can have angles that are not right angles. For example, a rhombus is a parallelogram with all sides congruent, but its angles are not right angles.