Answers
2x - 2y - 5y + 5z - 2x - y + 3z; now, we need to list like-terms together and simplify.
2x - 2x; 0
2y - y; -3y
5z + 3z; 8z
Now, let's put this into an expression;
-3y + 8z.
From our answer choices in the image above, the last option "D.) -3y + 8z" is the correct answer.
I hope this helps!
Related Questions
Suppose that in a certain triangle, the degree measures of the exterior angles are in the ratio 2:3:4. If the largest interior angle measures y degrees, what is the value of y?
Answers
2+3+4=9
then divide 360 by 9 (because the total degrees of the exterior angles in polygon is 360)
[tex]360 \div 9 = 40[/tex]
at the end find the amount of the exterior angles:
[tex]2 \times 40 = 80 \\ 3 \times 40 = 120 \\ 4 \times 40 = 160[/tex]
the shortest exterior angle is 80 degrees
so it has the largest interior angle:
180-80=100
the answer is 100
Final answer:
To find the largest interior angle y in a triangle with exterior angles in the ratio 2:3:4, we use the fact that the sum of a triangle's exterior angles is 360° to find the value of each exterior angle, then deduce y as the supplement of the largest exterior angle, resulting in y being 20°.
Explanation:
To find the value of the largest interior angle y in a triangle where the exterior angles are in the ratio 2:3:4, we start by understanding that the sum of the exterior angles of any triangle is 360°.
This means that the exterior angles in this triangle are 2x, 3x, and 4x degrees, respectively, where x is a common multiple.
Given that the sum of these angles must be 360°, we can write the equation 2x + 3x + 4x = 360°, simplifying to 9x = 360° and solving for x gives us x = 40°.
The largest exterior angle is 4x, which equals 160°. Since the exterior angle is supplementary to the interior angle it shares a vertex with, the largest interior angle y is therefore 180° - 160° = 20°.
Thus, the value of y is 20°.
Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he sold it for that amount, what was his depreciation rate?
Answers
$20,000.00-$14,650.00=5350$
Then divide like this:
[tex] \frac{5350.00}{20,000}=75 [/tex]
Now compute the percentage like this:
[tex]0,26\times100=26.75\%[/tex]
In order to compute the rate, divide by the number of years we get:
[tex]\dfrac{26.75}{2}=13.37\%[/tex]
The rate of depreciation is [tex]13.37\%[/tex].
Explanation:
1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350
2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.
That is (5,350 / $ 20,000) * 100 = 26.75 %
2) The rate is percent of depreciation per year:
depreciation rate = % of depreciation / number of years = 26.75% / 2 = 13.375% per year.
Kelly mixes the letters S E L E C T E and D thoroughly. Alex picks one letter. WHat is the probability that Alex will not select a consonant.
A. 3/8
B.3/5
C.5/8
D.1/2
Answers
There are 3 non-consonants (aka vowels) out of 8 letters total. That's why the answer is simply 3/8. It's the fraction of the number of things we want out of the number of things total.
Simplify the expression. (p^9)^−2
Answers
Changes made to your input should not affect the solution:
(1): "p3" was replaced by "p^3". 1 more similar replacement(s).
1.1 p9 divided by p3 = p(9 - 3) = p6
Final result : p6Answer:
[tex](p^9)^{-2}=p^{-18}[/tex]
Step-by-step explanation:
[tex](p^9)^{-2}[/tex]
To simplify the given expression we apply exponential property.
Multiply the outside exponent with inside exponent
[tex](a^m)^n= a^{mn}[/tex]
when we multiply the outside exponent -2 inside 9 , it becomes -18
So the given expression becomes
[tex](p^9)^{-2}=p^{-18}[/tex]
What is the x-intercepts of the graph of y = 12x-5x-2
Answers
first simplify the equation by subtracting like terms (in this case):
12x - 5x = 7x
y = 7x - 2
Since you are finding the x, you must isolate the x. Do the opposite of PEMDAS.(Note: because there is a equal sign, what you do to one side, you do to the other)
y = 7x - 2
y (+2) = 7x - 2 (+2)
y + 2 = 7x
(y + 2)/7 = 7x/7
x = (y + 2)/7
x = (y + 2)/7 is your answer
hope this helps
y = 12x^2 -5x -2
when y = 0
12x^2 -5x -2 = 0
(3x - 2) (4x + 1) = 0
x = 2/3 or x = 1/4
So the x-intercept are (2/3, 0) and (1/4, 0)
And airplanes at altitude change -370 ft over 7 minutes what was the mean change of altitude in feet per minute?
Answers
[the mean change of altitude]=[change in altitude]/[time]
[the mean change of altitude]=[-370]/[7]---------------> -52.86 ft/minute
the answer is -52.86 ft/minute (the negative sign means that the plane is descending)
what is the measure of BC
Answers
What is the measure of BC
Solution:
As per Inscribed Angle Theorem: If an angle is inscribed in a circle, then the measure of the intercepted arc is twice the value of the measure of the inscribed angle.
So, as we can see in the diagram the angle inscribed in the circle is 65°.
So, the measure of intercepted arc BC is twice ∠BDC
Or, BC=2*65°
BC=130° Answer
An inheritance of $30,000 will be divided between sisters hannah and taylor. if hannah is to receive $4000 less than taylor, how much does each sister receive?
Answers
Taylor receives $17,000.
please help asap !! ill mark brainliest but be corrrecct
Answers
Answer:
k=4
Step-by-step explanation:
Given
A line x=7
The line has only y-intercept which means that it is a vertical line.
As the two points are
A(10,2) and B(k,2)
The y-intercepts of both the points are same i.e. y=2 which means that the line fomed by joining A and B is a horizontal line.
As x=7 is a vertical line and bisects the horizontal line, the mid-point of line AB will be the point where first line (x=7) bisects the second which is (7,2).
The x-coordinate of mid-point is 7 because the vertical line has 7 as x-intercept and y-intercept is two because the horizontal line has y-intercept 2.
So,
Mid-point=((10+k)/2 ,2)=(7,2)
Comparing the x-coordinate
(10+k)/2=7
10+k=7*2
10+k=14
k=14-10
k=4
(Economics) Select all that apply.
Select the items that apply to calculating the Gross Domestic Product.
a. final goods and services
b. intermediate goods and services
c. last year's products
d. new products
Answers
GDP calculations should include 'final goods and services' and 'new products' to reflect a nation's current economic activity accurately while preventing double counting.
Explanation:The question pertains to what should be included when calculating the Gross Domestic Product (GDP). The options given were a. final goods and services, b. intermediate goods and services, c. last year's products, and d. new products. According to the principles of economics, GDP is the market value of all final goods and services produced within a country in a given period of time.
It is crucial to understand that GDP calculations include only new products that are produced within the current year to reflect the nation's current economic activity. This method helps statisticians avoid the mistake of double counting, which would inflate GDP figures inaccurately. Consequently, the correct selections are a. final goods and services and d. new products.
for the love of God help me
Answers
8b +6r = 44.50 . . . . Paul's first purchase
1b +8r = 25.50 . . . . .Paul's second purchase
b) There are many ways to solve a set of linear equations like this. I like a graphical calculator because it gives me the solution without having to think too much or do any arithmetic.
(b, r) = (3.50, 2.75)
Pine bark mulch costs $3.50 per bag.
Red mulch costs $2.75 per bag.
c) The project cost would have been
.. 14*$3.50 +10*$2.75 = $76.50
Paul would NOT have been able to make that purchase with funds available.
Factor to find the zeros of the function defined by the quadratic expression.
7x2 + 14x − 105
Answers
Answer:
{-5, 3}
Step-by-step explanation:
7 is a factor common to all three terms of this polynomial function. Thus, after the first attempt to factor it, we have 7(x^2 + 2x - 15). The quadratic factors into (x + 5)(x - 3). Setting these = to zero individually, we get
x + 5 = 0, or x = -5, and
x - 3 + 0, or x = 3
Thus, the zeros of the given f(x) =7x2 + 14x − 105 are {-5, 3}.
Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The diameter of the circle is 14 in
Answers
The area of the circle inside of the square is π (7)² = 153.9
Therefore 196 - 153.9 = 42.1
Answer:
Option [tex]42.1\ in^{2}[/tex]
Step-by-step explanation:
we know that
The area of the region that is inside the square and outside the circle is equal to the area of the square minus the area of the circle
see the attached figure to better understand the problem
Step 1
Find the area of the square
Remember that
The area of the square is
[tex]A=b^{2}[/tex]
where
b is the length side of the square
we have
[tex]b=14\ in[/tex]
substitute
[tex]A=14^{2}=196\ in^{2}[/tex]
Step 2
Find the area of the circle
Remember that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=14/2=7\ in[/tex]
substitute
[tex]A=\pi(7^{2})=153.9\ in^{2}[/tex]
Step 3
Find the area of the region
[tex]196\ in^{2}-153.9\ in^{2}=42.1\ in^{2}[/tex]
How much greater will Jennifer’s January finance charge be if the finance charge is calculated using the previous balance method than if it is calculated using the adjusted balance method? a. $0.48 b. $1.15 c. $0.67 d. $0.85
Answers
How many points determine a unique line?
A.
1 point
B.
2 points
C.
any 3 points
D.
3 noncollinear points
I say 2 points!
Answers
Answer:
B. 2 points
Step-by-step explanation:
1 point is a dot in space, 2 can make a line
Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely with x. In the third function, the relationship between x and y should be neither inverse variation nor direct variation.
Answers
https://brainly.com/question/8880788
1) y = kx . . . . . for some constant k
.. Here y is directly proportional to x , where k is the constant of proportionality
2) y = k/x . . . . for some constant k
.. Here y is inversely proportional to x , again k is the constant of proportionality.
3) y = 2x +52
..
Here y is linearly related to the x , it is neither directly proportional nor inversely proportional.
Help I'm taking a k12 quiz 2.04: composite figures but, I can't figure these out can anyone help me?
Question. 1 What is the area of this polygon? (Picture 1)
Question. 2 What is the area of this polygon? 42.5 Units? 41.5 Units? 35.5 Units? 29.5 Units? (Picture 2)
Question. 3 This figure is made up of a rectangle and parallelogram.
What is the area of this figure? (Picture 3)
Question. 4 What is the area of this composite shape? (Picture 4)
Thank you angels who help me with these
Answers
Needed formulas are:
Area of rectangle A=a*b
Area of triangle A=a*h/2
Area of paralelogram A= a*h
QUESTION 1.
When we connect points F and S we get a rectangle and a triangle.
Dimensions of sides of a rectangle are a=9 and b=2.
A=9*2=18 [tex]units^{2} [/tex]
For a triangle we need to take one side and it's height. Let's take side FS because it's easiest to find the height.
a=9
h=6
A=9*6/2=27[tex]units^{2} [/tex]
Tot+al area of a figure:
A=18+27=45[tex]units^{2} [/tex]
QUESTION 2.
We connect point (1,1) with (1,-2) and (-6,1). This way we get a rectangle and three triangles.
Rectangle:
a=3
b=4
A=3*4=12[tex]units^{2} [/tex]
Top right triangle:
a=4
h=3
A=4*3/2=6[tex]units^{2} [/tex]
Top left triangle:
a=7
h=2
A=7*2/2=7[tex]units^{2} [/tex]
Bottom left triangle:
a=7
h=3
A=7*3/2=10.5[tex]units^{2} [/tex]
Total area of a figure:
A=12+6+7+10.5=35.5[tex]units^{2} [/tex]
QUESTION 3.
We connect points (-4,2) and (-1,3). This way we get a paralelogram and a rectangle.
Paralelogram:
a=6
h=1
A=6*1=6[tex]units^{2} [/tex]
Rectangle:
a=distance between (-4,2) and (-1,3) = [tex] \sqrt{ (-1-(-4))^{2} + (3-2)^{2} } = \sqrt{10} [/tex]
b = distance between (-4,2) and (-2,-4) = [tex] \sqrt{ (-2-(-4))^{2} + (-2-2)^{2} } = \sqrt{20} [/tex]
A=a*b=[tex] \sqrt{10} * \sqrt{20} = \sqrt{200} =10 \sqrt{2} [/tex][tex]units^{2} [/tex]
Paralelogram:
a=6
h=1
A=6*1=6[tex]units^{2} [/tex]
Total area of a figure:
A=[tex]10 \sqrt{2} [/tex] + 6 [tex]units^{2} [/tex]
QUESTION 4.
We coonect missing side of a triangle. That side has a length of: 6in-3in=3in. Vertical side of triangle is: 13in-7in=6in
Area:
a=3
h=6
A=3*6/2=9[tex] in^{2} [/tex]
Rectangle:
a=7in
b=6in
A=7*6=42[tex] in^{2} [/tex]
Total area of a figure:
A=9+42=51[tex] in^{2} [/tex]
Ten times the sum of a number and
15
is at least
26
.
Use the variable
b
for the unknown number.
Answers
10 × (15+b) ≥ 26
150+10b ≥ 26
10b ≥ -124
b ≥ -12.4
Julia bought name tags for a party. Each name tag is 334 inches wide and 213 inches high. The formula for the area of a rectangle is A=bh. What is the area of one name tag?
Answers
Answer:the correct answer is 71142 just multiply 334 and 213
Step-by-step explanation:
WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the value of x.
Answers
Explanation:
An isosceles trapezoid has two opposite sides (the bases) parallel, and the two other sides (the legs) are of equal length.
So, since the two legs are of equal length, you only need to use the information of the two legs:
Leg WX: 6x + 5
Leg: YZ: 8x - 3
Leg WX = Leg YZ => 6x + 5 = 8x - 3
6x + 5 = 8x - 3
=> 8x - 6x = 5 + 3
=> 2x = 8
=> x = 8 / 2
=> x = 4
x+2/x+8 divided by 2x/3
Answers
frank purchased a boat for $7,525. he made a down payment of $475. he applied for a six year installment loan with an interest rate of 8.4% in the amount of $7,050. what is the total cost of the boat after six years?
Answers
Answer:
$9474.40
Step-by-step explanation:
A spreadsheet can be used to calculate the amortization of the loan. The one attached uses rounding to the penny for all dollar amounts. The result is that the payment amount is rounded down, and the final payment is about 12¢ short. The total repaid on the loan will be slightly more than the product of payment amount ($124.99) and number of payments (72).
The total cost of the boat is the sum of down payment, loan amount, and interest amount. That sum is $9474.40.
Based on the abbreviations, translate the following ads into fully spelled-out sentences. The final sentence should state how many rooms each house probably has, not counting bathrooms. LOW CTM - 2 bdrm 1 ba. Qualifying Low monthly payments 555-834-3674 Norris Realty
Answers
555-834-3674 Norris Realty
Emma created the poster shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm. What would be the dimensions of the poster at fraction 1 over 4 times its current size?
Answers
36/24 = 9/6
If the poster was 1/4 its current size, it would be 9 centimeters long and 6 centimeters wide.
Hope this helps =)
Answer:
Length = 6 cm, width = 9 cm
Step-by-step explanation:
If quadrilateral ABCD rotates 90° counterclockwise about the origin, what are the coordinates of A′ in quadrilateral A′B′C′D′ ?
(2, 1)
(-2, -1)
(-2, -2)
(-2, 0)
Answers
I believe the answer is (-2,-1) after the original point (2,1) goes through the change of -y,x
Answer:
Option B is correct.
The coordinate of A' is (-2 , -1)
Explanation:
The coordinates of ABCD are A = (-1,2) , B(1,1) , C =(1,-1) and D(-2,-2).
Rotation means moving the shape around a fixed point clockwise or anticlockwise, and by a certain number of degrees.
Rule for 90° counterclockwise rotation about the origin: [tex](x,y) \rightarrow (-y,x)[/tex]
or we can say that switch x and y in the coordinates and make y value opposite.
Then, the coordinate of A' :
[tex]A(-1,2) \rightarrow A'(-2 ,-1) [/tex]
Therefore, the coordinate of A' in the quadrilateral A'B'C'D' is, (-2 ,-1)
Please help thank you. :P
Answers
2. rotation
.. Try it. The amount of rotation depends on the angle between the lines. It's like looking in two mirrors.
you leave your house and walk for half an hour at a speed of 3 miles per hour. Then you run for 15 minuets at a speed of 7 miles per hour. You are now halfway to town. Write and solve an equation to find the distance from your house to town
Answers
Final answer:
To find the total distance to town, the distance walked (1.5 miles) and run (1.75 miles) were calculated, and it was found that the student is 3.25 miles away from home. This is halfway to town, so the total distance to town is 6.5 miles.
Explanation:
To solve the problem, we will calculate the distance traveled by walking and running and then use these to find the total distance to town.
Step 1: Calculate the distance walked
First, we convert the walking time into hours since the speed is given in miles per hour. Half an hour of walking at 3 miles per hour will cover:
Distance walked = Speed × Time = 3 mph × 0.5 hours = 1.5 miles
Step 2: Calculate the distance run
Since 15 minutes is a quarter of an hour, we can calculate the distance run at 7 miles per hour as:
Distance run = Speed × Time = 7 mph × 0.25 hours = 1.75 miles
Step 3: Determine the total half distance
Now, we combine the distances to find the halfway point to town:
Total half distance = Distance walked + Distance run = 1.5 miles + 1.75 miles = 3.25 miles
Step 4: Find the full distance to town
Since this is half the distance, the full distance to town is:
Full distance = Total half distance × 2 = 3.25 miles × 2 = 6.5 miles
Conclusion
Therefore, the total distance from the student's house to town is 6.5 miles.
Final answer:
The total distance from the house to town is found by doubling the sum of the distances walked and run, which were 1.5 miles and 1.75 miles, respectively. The full distance to town is 6.5 miles.
Explanation:
To solve for the distance from your house to town, we will use the information provided about your walking and running times and speeds. Since you walked for half an hour (0.5 hours) at a speed of 3 miles per hour and ran for 15 minutes (0.25 hours) at a speed of 7 miles per hour, and this brought you halfway to town, we can set up the following equation:
Distance walked = Speed walked × Time walked
= 3 mph × 0.5 hours
= 1.5 miles
Distance run = Speed run × Time run
= 7 mph × 0.25 hours
= 1.75 miles
The total distance you traveled to get halfway to town is the sum of the distance walked and the distance run:
Total distance halfway = Distance walked + Distance run
= 1.5 miles + 1.75 miles
= 3.25 miles
Since 3.25 miles is only halfway to town, the full distance to town is twice that amount:
Full distance to town = 2 × Total distance halfway
= 2 × 3.25 miles
= 6.5 miles
Therefore, the total distance from your house to town is 6.5 miles.
Crystal has 81/100 of a dollar. What could be the coins crystal has?
Answers
8 dimes and a penny
16 nickels and a penny
81 pennies
What is the approximate length of arc s the Circle? o
Answers
Answer:
c!
Step-by-step explanation:
WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!!!!!!
Which pair of variables is the most likely to have both correlation and causation?
* the height of a person and the amount of work he does
* the number of hours spent exercising and the number of calories burned
* the length of a person's commute and the amount of money he earns
* the number of customers at a restaurant and the variety of soups ordered