Answer:
The price will decrease $3534
The price of the next model is $53466
Step-by-step explanation:
57000 divided by 100 and then time 6.2 = $3534
Then subtract 57000 - 3534 = $53466
Answer: 53,466
Step-by-step explanation:
Do 57,000 minus 6.2 or and get 53,466.
Can someone explain how to answer this problem
Write an equation in point-slope form given the following: (1,2); m=7
thanks
Answer:
Step-by-step explanation:
Answer:
y-2 = 7(x-1)
Philip drove 66km from Liverpool to Sheffield at 80km/h.
How many minutes did this take him?
Answer:
49.5 minutes
Step-by-step explanation:
Amount of time that Philip took
= [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{66km}{80km/h}[/tex]
= [tex]0.825h[/tex]
= [tex]49.5 min[/tex]
2. The Access to University course in the college has 252 full-time and 140 part-
time students enrolled this year. What fraction of students are studying part-
time?
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
First, find the total number of students:
[tex]252+140=392[/tex]
Then, divide the number of students at hand by the total number:
[tex]\frac{140}{392}[/tex]
When possible, reduce the fraction to its simpliest form:
[tex]\frac{140}{392}\div\frac{28}{28}=\frac{5}{14}[/tex]
Transversal c intersects lines a and b. Prove that a // b in each case.
The required solutions are m∠1 + m∠7 = 143° + 37° = 180° and 'a' is parallel to 'b' due to the same-side exterior angle.
Transversal c intersects lines a and b which is given in the question.
As per the given figure,
m∠1 + m∠7 = 143 degrees + 37 degrees = 180 degrees
m∠1 = 143° and m∠7 = 37°.
First, we can write m∠1 + m∠7 and then substitute angles with their actual degree measure:
143° + 37° = 180 degrees
The first statement will be:
m∠1 + m∠7 = 143° + 37° = 180°
Exterior indicates that both angles are on the same side, or outside, of the parallel lines.
Angles a, b, c, and d in the figure are outside of the parallel lines.
We can then state;
a and b are parallel since they both agree with the same-side exterior theorem.
As a result, 'a' and 'b' are parallel because they both satisfy the same-side exterior theorem.
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503,000
3,200,000
Scientific Notations
Answer:5.03x10^5 and 3.2x10^6
Step-by-step explanation:
Number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10
503,000 divide by 10 until the number before decimal point digit becomes less than 10
Select the step in the solution that shows the first error. Step 1: 5x – 3 = 2x + 6 Step 2: 3x – 3 = 2x + 6 Step 3: x – 3 = 6 Step 4: x = 3
The error is in step 2 that is 3x-3=2x+6 as in step 2 we shifted 2x to LHS side of calculation.
What is error?Error is the difference between a true value and an estimate, or approximate, representation of that value in applied mathematics. The difference between the mean of the entire population and the mean of a sample taken from that population is a frequent example in statistics. Three types of errors can occur when solving math problems: factual, procedural, and computational. Students can make a variety of math mistakes, and it's crucial to know how to avoid them and how to take lessons from them. An error is an inaccurate or incorrect action (from the Latin error, meaning "wandering"). An error is often used interchangeably with the word mistake. The term "error" in statistics describes the discrepancy between the computed value and the correct value.
Here,
5x-3=2x+6
3x-3=6
3x=9
x=3
The mistake is in step 2, which reads 3x-3=2x+6 because we shifted 2x to the LHS side of the calculation in step 1.
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what is 1 1/2 divided by 1/6
Answer: 66/2 or in simplest form, 33/1
Step-by-step explanation:
11/2 divided by 1/6
*Keep the first fraction, flip the sign to multiplication, reciprocal or flip the fraction*
= 11/2 x 6/1
=66/2
=33/1
Convert form the giving stand and Form of a linear equation to the slope-intercept form of a linear equation x + 5y = 5
The slope-intercept form of a linear equation is given by the expression:
y=mx+b, so in this case you just have to solve the equation for y by inverse operations to solve equations:
x+5y=5
5y=5-x
y=5/5-x/5
y=-1/5x+1
△I'J'K' is a translation of △IJK. Write the translation rule.
The △IJK is shifted 9 units toward left and then shifted 10 units toward down to get △I'J'K' by applying translation rule.
What is the translation rule?
An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. Slides are a common term used to describe translations. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."
The coordinate of the vertices of △IJK are K(3, 7), I(1,2), J(6, 5).
The coordinate of the vertices of △I'J'K' are K(-6, -3), I(-8, -8), J(-3, -5).
The difference between x-coordinate of △IJK and △I'J'K' corresponding vertices are 3 - (-6) = 1 - (-8) = 6 - (-3) = 9
The difference between y-coordinate of △IJK and △I'J'K' corresponding vertices are 7 - (-3) = 2 - (-8) = 5 - (-5) = 10.
Thus △IJK is shifted 9 units toward left and then shifted 10 units toward down to get △I'J'K'.
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Solve four-sixths minus three-twelfths equals blank. Solve five-sixths minus three-fourths equals blank. Solve five-ninths minus two-sixths equals blank. Solve nine-twelfths minus eleven-eighteenths equals blank. Solve four-ninths minus four-tenths equals blank. Solve six-sevenths minus five-fourteenths equals blank.
Solve two-fifths minus one-seventh equals blank. Solve four-sixths minus three-fifths equals blank. Solve four-sixths minus three-eighths equals blank. Solve seven-eighths minus nine-sixteenths equals blank. Please solve all 10 questions no explanation needed but you can add one if you want
Answer:
Step-by-step explanation:
first you need to make sure that the fractions you are adding and subtracting have like denominators. To do this you need to find the least common multiple between the two
1. 4/6 - 3/12= 8/12 - 3/12 Answer: 5/12
2. 5/6 - 3/4 = 10/12 - 9/12 Answer: 1/12
3. 5/9 - 2/6= 10/18 - 6/18 Answer 4/ 18 (reduces to 2/9 for simplest terms)
4. 9/12 - 11/18 = 27/36 - 22/36 Answer: 5/36
5. 4/9 - 4/10 = 40/90 - 36/90= 4/90 ( reduces to 2/45)
6. 6/7 - 5/14= 12/14-5/14 Answer 7/14 (reduces to 1/2
7. 2/5- 1/7= 14/35 - 5/35 Answer 8/35
8. 4/6 - 3/5 = 20/30 - 18/30 Answer 2/30 (1/15 simplified
please help me identify an alternate exterior, an alternate interior, a vertical, linear pair, consecutive interior, and corresponding angles that fit the given type m || n and a || b :)
We have that (Some) alternate exterior angles in this graph are:
1 & 7
2 & 8
9 & 15
10 & 16
(Some) Alternate interior angles are:
3 & 5
4 & 6
12 & 14
11 & 13
Some linear pairs are:
1 & 2
9 & 10
4 & 3
12 & 11
5 & 6
13 & 14
8 & 7
16 & 15
(Some) Consecutive interior angles are:
4 & 5
3 & 6
12 & 13
11 & 14
(Some) Corresponding angles are:
1 & 5
2 & 6
9 & 13
10 & 14
(Some) Vertical angles:
1 & 3
2 & 4
9 & 11
10 & 12
5 & 7
6 & 8
13 & 15
14 & 16
Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?
An order of 1 slice of cheese pizza and 3 sodas cost will be $5.25.
Define simultaneous equation.Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations.
Given data -
Cost of 3 slices of cheese pizza and 2 sodas = $8.75
Cost of 2 slices of cheese pizza and 4 sodas = $8.50
Let x be the cost of 1 slice of cheese pizza
and y be the cost of 1 soda
According to the given data,
3x + 2y = $8.75 -------------equation 1
2x + 4y = $8.50 -------------equation 2
Equation 1 by equation 2 multiplied results in
6x + 4y = $17.5 ------------equation 3
By subtracting equation 2 from equation 3 to get the cost of 1 slice of cheese pizza, we will get
4x = $9
x = $2.25
By substituting the value of x in equation 2 so that we can get the cost of 1 soda, we will get
2*2.25 + 4y = $8.50
4.5 + 4y = $8.50
4y = $8.50 - 4.5
4y = $4
y = $1
To get the cost of 3 sodas, multiplying the value of y by 3
Therefore the cost of 3 sodas will be $1*3 = $3
The total cost of 1 slice of cheese pizza and 3 sodas cost = $2.25 + $3
= $5.25
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i 45° 1030 909 600 9. Is the pentagon a regular pentagon?
internal angles of the polygon
angle a = 180 - 45 = 135°
angle b = 180 - 90 = 90°
angle c = 180 - 60 = 120°
angle d = 540 - 135 - 90 - 120 - 77 = 118°
angle e = 180 - 103 = 77 °
angle x = 180 - 118 = 62°
the polygon is not a regular polygon because the measure of its angles are different
I need to find the surface area. it's a cut sphere with a diameter of 14.
Given data:
The diameter of the cut sphere, D=14 in.
The radius of the cut sphere is,
[tex]\begin{gathered} r=\frac{D}{2} \\ r=\frac{14}{2} \\ r=7\text{ in} \end{gathered}[/tex]The cut sphere is called a hemisphere.
The surface area of a sphere is
[tex]A_1=4\pi r^2[/tex]So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,
[tex]\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}[/tex]The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,
[tex]A_3=\pi r^2[/tex]Therefore, the total area of the hemisphere is,
[tex]\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}[/tex]The total surface area of a hemisphere is,
[tex]\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}[/tex]Therefore, the total surface area of the cut sphere is 461.8 square inches.
Math help please help
Answer:
2,6
Step-by-step explanation:
2km:0.2m .....................
Two friends drive off in different directions from the same place. One heads North at 30 miles per
hour, while the other heads East at 40 miles per hour.
Distance =
Complete an equation for the distance between the friends after t hours. Hint: Assume the starting
point is the origin.
An equation for the distance between the two friends after time (t) in hours is given by: c = 50t
Given,
Two friends drive off in different directions from the same place. One heads North at 30 miles per hour, while the other heads East at 40 miles per hour.
We have to find the equation for the distance between the friends after t hours.
Here,
The distance covered by each friend should be calculated as follows:
For the first friend heading North, we have;
Distance, a = speed × time
Distance, a = 30t
For the second friend heading East, we have:
Distance, b = speed × time
Distance, b = 40t
By applying Pythagorean theorem, the distance between these two friends after an amount of time (t) is given by:
Distance, c² = a² + b²
Distance, c² = (30t)² + (40t)²
Distance, c² = 900t² + 1600t²
Distance, c² = 2500t²
Distance, c = √(25 × 100t²)
Distance, c = √25t² × √100
Distance, c = 5t x 10
Distance, c = 50t
Therefore,
The equation for the distance between the friends after t hours is c = 50t
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Brian drove from Houston to New York, then to Chicago, then back to Houston. How far did he drive altogether?
Houston to NY= 1608
NY to Chicago=802
Chicago to Houston=1067
The area of this parallelogram is 49 square centimeters.y = ____ cm.
Answer:
7 cm
Explanation:
The area of a parallelogram:
[tex]A=\text{Base}\times Height[/tex]From the diagram:
• Base = y cm
,• Height = y cm
Thus:
[tex]\begin{gathered} y\times y=49 \\ y^2=49 \\ y=\sqrt{49} \\ y=7\operatorname{cm} \end{gathered}[/tex]The value of y is 7cm.
Simplify each expression. Select the correct answer from the drop-down menu.
−6(3i)(−2i) =
2(3 − i)(−2 + 4i)
16+14i will the required simplified value as the expression is -6(3i)(-2i)=2(3-i)(4i-2) which is a complex number having imaginary and real part.
What is complex number?A complex number is one with the formula a + bi, where a and b are real numbers and I is an imaginary number. Complex numbers are those that are expressed as a+ib, where a,b are real numbers and I is an imaginary number known as "iota." (√-1) is the value of i. 2+3i is a complex number, for example, where 2 is a real number (Re) and 3i is an imaginary number (Im). A complex number is one that can be expressed as a + bi, where a and b are real numbers and I is an imaginary unit, and which solves the equation i² =-1. In this expression, a represents the complex's real part and b represents its imaginary part.
Here,
-6(3i)(-2i)=2(3-i)(4i-2)
-6(-6i²)
=36i²
=-36
2(3-i)(4i-2)
=2(12i-4i²-6+2i)
=2(14i+4-6)
2(14i-2)=-36
14i-2=-18
on simplifying,
16+14i will the required simplified value.
As the expression is -6(3i)(-2i)=2(3-i)(4i-2) which is a complex number with imaginary and real parts, the required simplified value is 16+14i.
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Answer:
−6(3i)(−2i) =
✔ –36
2(3 − i)(−2 + 4i) =
✔ –4 + 28i
Step-by-step explanation:
Each basket contains 3 identical bags of stuffing and 6 pound bag of rice.
The total pounds of rice will be 18 pounds.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, each basket contains 3 identical bags of stuffing and 6 pound bag of rice. The total pounds will be:
= 3 × 6
= 18 pounds
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Complete question
Each basket contains 3 identical bags of stuffing and 6 pound bag of rice. What is the total pounds of rice?
9. Mrs. Sorenstam bought one ruler, one compass, and one mechanical pencil at the prices shown in the table for each a. Suppose Mrs. Sorenstam had 36 cents left after buying the school supplies. Write an equation to find the amount of money Mrs. Sorenstam initially had to spend on each student. b. Describe a two-step process you could use to solve your equation. 5020 02/03 Due Price ($) Item 1.49 of her 12 students. compass 0.59 mechanical pencil 0.49 ruler Then solve the equation.
Let A be the total amount of money that Mrs. Sorenstam had before buying the school supplies. Let C be the unit price of the compass, M the unit price of the mechanical pencil and R the unit price of the ruler.
The total amount of money required for the school supplies of one student, is C+M+R. Since there are 12 students, the total amount of money required for school supplies is:
[tex]12(C+M+R)[/tex]Since Mrs. Sorenstam had a total A of money and she bought the school supplies for 12 students, with 36 cents left after the transaction, then:
[tex]A-12(C+M+R)=0.36[/tex]Since C=1.49, M=0.59 and R=0.49, then:
[tex]\begin{gathered} C+M+R=1.49+0.59+0.49 \\ =2.57 \end{gathered}[/tex]Then, our equation is equivalent to:
[tex]A-12\times2.57=0.36[/tex]which is the equation that we may write for the first part of the problem.
For the second part, one step is to multiply 12 times 2.57, and then add the result to both sides of the equation to solve for A:
1.- Multiply 12 times 2.57:
[tex]A-30.84=0.36[/tex]2.- Add 30.84 to both sides of the equation:
[tex]\begin{gathered} A-30.84+30.84=0.36+30.84 \\ \Rightarrow A=31.2 \end{gathered}[/tex]A parabola opening up or down has vertex 0, – 3 and passes through – 12,15. Write its equation in vertex form.
y = 0.125x² - 3 is equation of parabola in vertex form
The standard form of the parabola is [tex]y = ax^{2} + bx + c[/tex]
The vertex form of parabola is [tex]y = a(x-h)^{2} + k[/tex]
where h and k are vertex of parabola. The vertex formula is used to find vertex coordinate of parabola .
Vertex point of parabola are usually represented by (h, k).
Given that the vertex of parabola is 0, -3
(h, k) = (0, -3)
h = 0 and k = -3
substituting the values of h and k in vertex form of parabola,
[tex]y = a(x-0)^{2} -3\\y = ax^{2} - 3[/tex]
Parabola is also passing through (12,15) means it should satisfy vertex equation of parabola
[tex]15= a(-12)^{2} -3\\15+3 = 144a\\18 = 144a\\a = \frac{18}{144}\\\\a = 0.125[/tex]
Substituting value of a
Vertex form of parabola is [tex]y = 0.125x^{2} - 3[/tex]
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2 points
Question at position 5
Using the chart, which two students have the same unit rate? Explain how you know this.
Name Pages Read Number of Nights
Leah 45 3
Rose 48 4
Hannah 30 3
Philip 150 10
Leah and Philip have same unit rate.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The table is shown for the number of pages and number of nights.
Now,
The unit rate to read the number of pages for Leah;
⇒ 45 / 3 = 15
The unit rate to read the number of pages for Rose;
⇒ 48 / 4 = 12
The unit rate to read the number of pages for Hannah;
⇒ 30 / 3 = 10
The unit rate to read the number of pages for Philip;
⇒ 150 / 10 = 15
Thus, Leah and Philip have same unit rate.
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Please help me! It is about proofs, SSS and SAS.
The two given triangles are congruent because of SAS.
What does congruency mean?In geometry, two figures or objects are congruent if their shapes and sizes match, or if one is the mirror image of the other. Both of the bread slices have the same shape and size when stacked on top of the other. Congruent refers to having the same precise size and shape. Having the same size and shape makes two shapes congruent. The mirror image of one shape is the same as the other if the two shapes are congruent.
The given triangles are RTP and STP
P is the midpoint of RS and TP is the altitude of triangle RTS.
In the triangles RTP and STP
TP = TP (common)
∠RPT = ∠ SPT (90°)
RP = SP (median divides the side equally)
So, both triangles are congruent using SAS property.
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for part B how do I find the coordinate for A double prime after the rotation
When we rotate a figure 90° around a point, we need to check the difference in x and y coordinates between the point and the center of rotation.
Then these differences will swap among themselves.
The difference in x-coordinate between A and B is 1, so now this difference will be the difference in y-coordinate.
The difference in y-coordinate between A and B is 7, so now this difference will be the difference in y-coordinate.
So the coordinates of A'' will be:
[tex]B(-2,-1)\to A^{\doubleprime}(-2+1,-1+7)=A^{\doubleprime}(-1,6)[/tex]Also, the point will be in the third quadrant, so all coordinates are negative:
[tex]A^{\doubleprime}(-1,6)\to A^{\doubleprime}(-1,-6)[/tex]Therefore the answer is C.
Please help me ASAP
3. You deposit $1575 in a bank account that earns 3.75% interest per year for 5 years. How much will the balance be if it's compounded continuously?
4. From #3, How much will the balance be if it's compounded monthly?
5. You buy a boat for $35,000 that depreciates in value at about 17% per year. How much will it be worth in 3 years?
3) $1,899.81
4) $1,899.26
6) $17,150
match the correct base shape to each prism. some cards may be used more than once.
Looking at figure A, we have a prism with a triangular base that looks like a right triangle.
Since the prism has a right triangular base, the base shape is a right triangle (shape 5).
Looking at figure B, we have a prism with a pentagonal base.
Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).
Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Two planes, which are 2660 miles apart, fly toward each other. Their speeds differ by 65mph. If they pass each other in 4 hours, what is the speed of each?
EXPLANATION
Since the two planes are 3400 miles apart, and their speed differs by 80 mph, we can apply the following relationship:
2660 / 4 = 665 mph
Assuming that x is the speed of the slower plane and y is the speed of the faster, we have:
(1) x + 65 = y
(2) x + y = 665 [Combined speed of both planes]
Plugging in (1) in (2):
x + (x + 65) = 665
Removing the parentheses:
x + x + 65 = 665
Adding like terms:
2x + 65 = 665
Subtracting -50 to both sides:
2x = 665 - 65
Subtracting numbers:
2x = 600
Dividing both sides by 2:
x = 300
Plugging in x=315 into (1):
300 + 65 = 365
In conclusion, the speed of both planes is:
Slower plane = 300 mph
Fastest plane = 365 mph
I need haled on this question so air was wondering what was the equation for r-c=p
The equation r-c= p represents the profit equation
What does the equation r-c = p stands for?Profit can be defined as the difference between revenue and cost i.e. revenue minus cost. The formula for profit can be written as:
p = r - c
where r is the revenue and c is the cost
Notice that the equation, r-c = p is the same as p = r-c when rearranged.
Therefore, the equation r-c=p stands for the profit equation
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