Answer:
30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=30
The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.
Answer:
Step-by-step explanation:
Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Which two consecutive integers does the square root of 200 fall between
Answer:
14 and 15
Step-by-step explanation:
Hurry will mark!!! María determined that these expressions are equivalent expressions using the values of x = 3 and x=7. Which
statements are true? Check all that apply.
5+3x-2 and x + 2(x+1)+1
The expressions are only equivalent when evaluated with odd values.
The expressions are only equivalent for x = 3 and X= 7.
The expressions should have been evaluated with one odd value and one even value.
The expressions have equivalent values when X = 6.
When x=0, the first expression has a value of 3 and the second expression has a value of 4.
The expressions have equivalent values for any value of x.
When x= 10, both expressions have a value of 33.
Answer: D, F, G / 4, 6, 7
Step-by-step explanation:
We have the following equations:
5 + 3x - 2 and x + 2(x+1) + 1
Before checking the statements. Let's solve the syste of equations:
5 + 3x - 2 = x + 2(x+1) + 1
5 + 3x - 2 = x + 2x+2 + 1
3x + 3 = 3x + 3
Both equations are equivalent. Now, let's judge the statements:
1. The expressions are only equivalent when evaluated with odd values.
Given that the both expression are the same, the expressions are equivalent for ALL values.
Therefore, the statement IS FALSE ❌
2. The expressions are only equivalent for x=3 and x=7.
Given that the both expression are the same, the expressions are equivalent for ALL values, not only x=3 and x=7.
Therefore, the statement IS FALSE ❌
3. The expressions should have been evaluated with one odd value and one even value.
If two expressions are equivalent, they should be equivalent for ALL values. Sometimes, evaluating just one odd and one even value isn't enough. That's why the best approach is to solve the system of equations.
Therefore, the statement IS FALSE ❌
4. The expressions have equivalent values when x=6.
Given that the both expression are the same, the expressions are equivalent for x=6 (And all the real values too).
Therefore, the statement IS TRUE ✅
5. When x=0, the first expression has a value of 3 and the second expression has a value of 4.
Given that BOTH expressions are equvalent, they have the same value when x=0, which is 3.
Therefore, the statement IS FALSE ❌
6. The expressions have equivalent values for any value of x.
Given that the both expression are the same, the expressions are equivalent for ALL values of x.
Therefore, the statement IS TRUE ✅
7. When x=10, both expressions have a value of 33
Given that the both expression are the same, the expressions are equivalent for ALL values of x. That's why when x=0, both expressions have a value of 33.
Therefore, the statement IS TRUE ✅
3.
Stacey has a part-time job.
She earns £8 an hour.
She wants to buy a new smartphone costing £220.
How many hours does she need to work to earn enough to buy it?
Answer:
28 hours
Step-by-step explanation:
Divide the total cost of the new smartphone by how much Stacey earns per hour.
220 / 8 = 27.5
Round the quotient up to the nearest whole number to get your answer. We do this because Stacey would not get paid for only working part of an hour.
28
Consider the recursively defined function below
Create the first five terms of the sequence defines by the given function
Answer:
So, the first five terms of the sequence defined by the given recursive function are shown below.
F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15
written on plato
Step-by-step explanation:
Which student’s first step was incorrect, and why?
Answer:
Todas las sustancias esenciales para el funcionamiento del organismo se obtienen a partir de los alimentos?Solve for the missing variable
(5, 4) & (2, c) slope is equal to 1/2
Please answer fast
Answer:
c = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{1}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)
m = [tex]\frac{c-4}{2-5}[/tex] = [tex]\frac{c-4}{-3}[/tex] , then
[tex]\frac{c-4}{-3}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(c - 4) = - 3
2c - 8 = - 3 ( add 8 to both sides )
2c = 5 ( divide both sides by 2 )
c = [tex]\frac{5}{2}[/tex]
In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP.
Based on the assumption that quadrilateral PQRS is
a rectangle, determine whether each statement below is true or false. Select True or False for each statement.
TRUE or FALSE
1.) Triangles POR and RSP are congruent because they satisfy the side-side-sido (SSS) triangle congruence criterion.
2.)Triangles POR and RSP are congruent because they satisfy the side-anglo-sido (SAS) triangle congruence criterion
3.)Triangles POR and RSP are congruent because there is a rotation that carries one triangle onto the other.
4.)Triangles POR and RSP are congruent because there is a translation that carries one triangle onto the other
Answer:
False
True
True
False
Step-by-step explanation:
Answer:true true true false
Step-by-step explanation: did it in class
Determine the area of squre ABCD with AB=3cm
Answer:
The area of the square is 2.25cm
Step-by-step explanation:
Here's what we know:
-Each letter represent a side
-A square is made up of 4 congruent sides
-To find the area of a square you need 2 sides
-We have 2 sides (A and B)
Now we can solve:
If 3cm is the length of A and B together, then we can determine that separately The sides are 1.5cm. We can then multiply 1.5 by itself to get 2.25cm.
Hope this helps :)
Find the distance between (1, 0) and (9, 15).
Answer:
[tex]\mathrm{Distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)=\:17[/tex]
Step-by-step explanation:
Given the points
(1, 0)(9, 15)[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\mathrm{The\:distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(9-1\right)^2+\left(15-0\right)^2}[/tex]
[tex]=\sqrt{8^2+\left(15-0\right)^2}[/tex]
[tex]=\sqrt{8^2+15^2}[/tex]
[tex]=\sqrt{64+225}[/tex]
[tex]=\sqrt{289}[/tex]
[tex]=\sqrt{17^2}[/tex]
[tex]=17[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
Therefore,
[tex]\mathrm{Distance\:between\:}\left(1,\:0\right)\mathrm{\:and\:}\left(9,\:15\right)=\:17[/tex]
!!!!really need help!!!!Polygon ABCDEF is rotated 90°, reflected across the line y = -x, and then translated up
3 units and to the left 2 units to produce the image polygon A'B'C'D'EF'. What are the
coordinates of D' ?
Answer:
D'(-4, 1)
Step-by-step explanation:
Polygon ABCDEF is transformed by number of steps given in the question.
We have to find the coordinates of point D'.
Coordinates of point D → (2, -2)
Step - 1,
Polygon rotated 90° counterclockwise about the origin,
Rule for this rotation,
(x, y) → (-y, x)
Coordinates of image E after rotation,
D(2, -2) → E(2, 2)
Step - 2,
Point E then reflected across the line y = -x,
Rule for the reflection,
(x, y) → (-y, -x)
Image of E after reflection will be,
E(2, 2) → F(-2, -2)
Step -3,
Then point F was translated up by 3 units and 2 units left,
Rule for the translation,
(x, y) → (x -2, y + 3)
Image of F will be point D',
F(-2, -2) → D'(-4, 1)
The accompanying graph shows the revenue from sales of summer sandals. a) At what price will the company receive the maximum amount of revenue? 40+ 45- 35+ Revenue(1005) b) What is the meaning of the increasing region? 20- 18+ 10+ sh c) What is the meaning of the decreasing region? -10 -5+ 10 20 30 40 50 60 70 80 90 11 Selling Price(8) d) What happens to sales if the item is priced at over $85? The cost of carrying this sandal in the store is shown by the linear relation in this graphical model. The intersection points of the graphs show the points where the revenue equals the cost of carrying the item. This is called the breakeven point. Where the revenue graph appears above the cost graph, the store will make a profit. What is the lowest and highest 45+ price the manager can place on the sandals and still make a 40+ profit? 301 Revenue 1005 20+ 15+ 10+ 5+ -10 -5+ 10 20 30 40 30 60 70 80 90 L Seling Price($)
How much fencing is needed to enclose a rectangular garden that measures 65 feet by 17 feet
Answer:
164
Step-by-step explanation:
65+65=130
17+17=34
130+34=164
Answer:
You will need 164 feet of fencing.
Step-by-step explanation:
Add up 17+17+65+65 or follow along to the perimeter formula to get your answer of 164 feet.
Cindy says she found a shortcut for doing multiplication problems.When she multiplies 3 x 24 she says,"3 x 4 is 12 ones or 1 ten and 2 ones. Then there's just 2 tens left in 24 ,so add it up, and you get 3 tens and 2 ones .Do you think Cindy shortcut works explain your thinking
Answer:
Of course it doesn't work, 3 x 24 = 72, not 32 (3 tens and 2 ones)
Step-by-step explanation:
This method is similar to decomposition, but it doesn't work. The problem is that she is mixing multiplication, division and addition all together without any sense at all. The way decomposition works is as follows.
Examples of decomposition:
first you can multiply 3 x 4 = 12
then 3 x 20 = 60
add them and you get 72
for example: 6 x 122
6 x 2 = 12
6 x 20 = 120
6 x 100 = 600
add them together = 732
another example: 9 x 356
9 x 6 = 54
9 x 50 = 450
9 x 300 = 2700
add them to get 3,204
What is the slope of a line parallel to the line whose equation is 6x + 9y = 216.
Fully reduce your answer.
Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
The slope of line parallel to line with equation → 6x + 9y = 216 is
m = -2/3.
What are Parallel lines?
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given is a line which is parallel to a line whose equation is 6x + 9y = 216.
We know that the general equation of straight line is -
y = mx + c ... Eq [ 1 ]
where 'm' represents the slope of the line.
The equation of line given -
6x + 9y = 216.
Rearranging it -
9y = - 6x + 216
y = (-6/9)x + (216/9)
y = (-2/3)x + 24 ... Eq [ 2 ]
Comparing Eq[2] with Eq[1], we get -
m = -2/3
Therefore, the slope of the line with equation → 6x + 9y = 216 is -2/3.
Two parallel lines have same slope. Hence, the slope of line parallel to
line with equation → 6x + 9y = 216 is -2/3
Therefore, the slope of line parallel to line with equation →
6x + 9y = 216 is -2/3.
To solve more questions on Straight lines, visit the link below-
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If the coordinates of the vertices of two triangles are given, it is possible to check SSS similarity for these triangles.
true or false
Answer:
I think so it is false
Hope it helps you
Can someone look at this please. Thank you
3. Milo's dog weighs 18.25 pounds. Kristen's dog weighs 2.5 pounds less than Milo's dog. How much does Kristen's dog weigh? (A) 13.25 pounds B 15.75 pounds © 16.75 pounds D 20.75 pounds
Answer:
(B). 15.75
Step-by-step explanation:
If Kristens dog weighs 2.5 pounds less, then you just have to subrtact 2.5 from 18.25
The answer is B. 15.75 pounds. Kristen's dog weighs 2.5 pounds less than Milo's dog which is 18.25. So, all you have to do is subtract 2.5 from 18.25. 18.25 - 2.5 = 15.75.
Given that
R
=
6
x
+
5
y
Find
y
when
x
=
7
and
R
=
18
Answer:
[tex]\frac{24}{5}[/tex]
Step-by-step explanation:
Answer:
y = - 24/5
Step-by-step explanation:
Write an algebraic equation: Three-fifths of a number increased by seven is twenty-two.
Answer:
hmm, let me think some more
Step-by-step explanation:
A number minus 6. Help me plz (translating Expressions)
Answer:
x - 6
Step-by-step explanation:
You pay $144 for 12 pounds of mangoes. How much does it cost for 1 pound?
Answer:
$12
Step-by-step explanation:
$144 = 12 mangoes
Divide both sides by 12
$12 = 1 mango
1)) Is 6.618 an irrational number?
yes
no
Submit
Answer:
No
Step-by-step explanation:
An irrational number cannot be represented in the form a/b while a and b are integers and b isn't zero. We can write this number in this form:
6618/1000.
Since we can, it isn't irrational, it is actually rational
Hope this helps!
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
So, the answer to this question would be no. This number is not irrational.
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees. What is the value of x?
Answer:
20°
Step-by-step explanation:
the sum of the angles gives 180°
20+2x+6x=180
20+8x=180°
8x=180-20
x=160°÷8°
x=20°
thank you!
Answer:
c) 20
Step-by-step explanation:
on edge 2021 || pls mark brainliest
please hurry!
Part A: Determine the average rate of change over the interval [B, C] .
O 6
O 24
O 96
O 384
Part B: Determine the average rate of change over the interval [D, E] .
O 6
O 24
O 96
O 384
Part C: The average rate of change is
O larger over the interval [D,E] than [B,C].
O smaller over the interval [D,E] than [B,C].
O the same over the interval [D,E] than [B,C].
Answer:
Part A: 24
Part b: 384
Part c: larger over the interval
Step-by-step explanation:
(x-790°
(x-45)
Solve for x.
Answer:
107
Step-by-step explanation:
(x - 79)° + (x - 45)° = 90°
2x - 124 = 90
2x = 214
x = 107
Rewrite in simplest terms: -(2c + 8) + 8c
Answer:
[tex]6c-8[/tex]
Step-by-step explanation:
We have:
[tex]-(2c+8)+8c=[/tex]
[tex]-2c-8+8c=\\[/tex]
[tex]6c - 8[/tex]
What is produced during the replacement reaction of Cu(NO3)2 and Zn? ZnNO3 + Cu Zn + Cu(NO3)2 ZnCu + 2NO3 Zn(NO3)2 + Cu
Answer:
D. Zn(NO3)2 + Cu
Step-by-step explanation:
The correct chemical equation for the replacement reaction of Cu(NO3)2 and Zn is:
Zn + Cu(NO3)2 → Zn(NO3)2 + Cu
What is a replacement reaction?A replacement reaction is a chemical reaction in which an element displaces or replaces another element in a compound. In other words, one element takes the place of another element in a compound.
The general equation for a replacement reaction is:
A + BC → AC + B
We have,
The reaction between copper nitrate (Cu(NO3)2) and zinc (Zn) is an example of a single replacement or displacement reaction, which involves the replacement of one element in a compound by another element.
In this reaction,
Zinc (Zn) reacts with copper nitrate (Cu(NO3)2) to form zinc nitrate (Zn(NO3)2) and solid copper (Cu).
The reaction is driven by the relative reactivity of the metals involved.
Zinc is more reactive than copper, which means that it has a greater tendency to lose electrons and form positive ions.
Copper, on the other hand, is less reactive and has a greater tendency to stay in its elemental form.
When zinc is added to copper nitrate solution, the zinc atoms lose electrons and become positively charged ions, while the copper ions in the solution gain electrons and become solid copper.
The zinc ions then combine with nitrate ions (NO3-) from the copper nitrate solution to form zinc nitrate, which remains in the solution.
The balanced chemical equation for the reaction shows that one molecule of zinc (Zn) reacts with one molecule of copper nitrate (Cu(NO3)2) to form one molecule of zinc nitrate (Zn(NO3)2) and one molecule of solid copper (Cu).
Thus,
The correct chemical equation for the replacement reaction of Cu(NO3)2 and Zn is:
Zn + Cu(NO3)2 → Zn(NO3)2 + Cu
Learn more about replacement reactions here:
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Which ratio is equivalent to 3;9?
Answer:
sorry if its incorrect
Step-by-step explanation:
I think its 18:54
If i am driving 45 miles per from my house to my job. My job is 35 minutes from my house. It is 9:30 i have to be there by 10:00 on the dot so how much should i increase the speed?
Usual speed is given by :
[tex]s = \dfrac{45\times 60}{35} \ mph\\\\s=77.14 \ mph[/tex]
Now, we want to reach job exactly at 10 : 00 .
So, time taken is , t = 10:00 - 09:30
t = 30 minutes = 0.5 hours .
New speed is :
[tex]s'= \dfrac{45}{0.5} = 90 \ mph[/tex]
Therefore, increase in speed is ( 90 - 77.14 ) = 12.86 mph.
Hence, this is the required solution.