they paid 30, 10 + 10 + 10.
the manager refunded them 5, 30 - 5 = 25.
the bellboy took 2, gave them 3 only.
since the bellboy gave only 3 to friends, then they paid 10 + 10 +10 - 3 = 27, if we include the 2 the bellboy kept, then that makes it 27 - 2 = 25.
we're not adding the $2 kept by the bellboy, we're subtracting it from the $27.
What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8?
Answer:
-1
Step-by-step explanation:
Given equation of line is:
x - y = 8
In order to find the slope of other line we have to convert the given equation in standard form
So,
-y = -x + 8
Multiplying the equation with -1
y = x - 8
The co-efficient of x is the slope of the line.
Here the co-efficient is 1 so the slop of line is 1.
We know that the producct of slopes of perpendicular lines is -1.
Let m2 be the slope of the other line then
1 * m2 = -1
m2 = -1
So the slope of line perpendicular to line x-y = 8 will be: -1 ..
Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
20, 20, 30 = ?
Answer:
20 , 20 , 30 will produce a triangle
Step-by-step explanation:
* Lets study how to know if the lengths of the three segments
can formed a triangle
- It is a fact that in any triangle the sum of the smallest two sides
must be greater than the largest side
- Lets study some examples
# If the lengths of the three segments are 5 , 6 , 7
∵ 5 and 6 are the smallest
∴ 5 + 6 = 11
∵ 11 > 7 ⇒ the sum greater than the 3rd side
∴ 5 , 6 , 7 can formed a triangle
# If the lengths of the three segments are 5 , 7 , 12
∵ 5 and 7 are the smallest
∴ 5 + 7 = 12
∵ 12 = 12 ⇒ the sum equal the 3rd side
∴ 5 , 7 , 12 can not formed a triangle
# If the lengths of the three segments are 10 , 12 , 24
∵ 10 and 12 are the smallest
∴ 10 + 12 = 22
∵ 22 < 24 ⇒ the sum less than the 3rd side
∴ 10 , 12 , 24 can not formed a triangle
* Now lets solve the problem
∵ The length of the three segments are 20 , 20 , 30
∵ 20 and 20 are the smallest
∴ 20 + 20 = 40
∵ 40 > 30 ⇒ the sum greater than the 3rd side
∴ 20 , 20 , 30 will produce a triangle
10 points i need help i need to finish in 1 hour
how much does it cost to buy 3 drinks
Answer:
4.50
Step-by-step explanation:
3 divided by 2 is 1.5, which is equivalent to $1.50. So each drink cost 1.50. 1.50 x 3 = 4.50.
1)Which choices shows the statement below in if-then form? Exercise makes you healthier.
A) if you don’t exercise ,then you won’t be healthier.
B) if you are healthy, then you exercise.
C) if you don’t exercise, you won’t be healthier.
D) if you exercise, then you will be healthier.
2) which of the following is a conditional statement for the following statement? Cardinals are red birds.
A) if a bird is not red, then it is not a cardinal.
B) if a cardinal is red, then it is a bird.
C) if a bird is red, it is a cardinal.
D) if a bird is a cardinal, it is red
Answer:
D for both
Step-by-step explanation:
Exercise is the condition and healthier is the outcome. So if you exercise then you will be healthier.
All cardinals are red. But not all red birds are cardinals. So d is the only one that is always true
1. if you exercise, then you will be healthier.
2. if a bird is a cardinal, it is red
What is Conditional Statement?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
Given:
Exercise makes you healthier.
So, we have to write in the form of if- then statement
Thus, the statement is if you exercise, then you will be healthier..
Now, for the second statement "Cardinals are red birds."
The conditional statement is if a bird is a cardinal, it is red.
Learn more about Conditional Statement here:
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Let y = safe load in pounds and x = length in feet of a horizontal beam. A constant of proportionality k exists such that y=k/x . y varies inversely as x. Determine the constant k for a beam with y = 2,000 pounds and x = 15 feet. a. 133.3 b. 3,000 c. 30,000
Answer:
Option c. 30,000
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
y ----> safe load in pounds
x ----> length in feet of a horizontal beam
we have
For [tex]x=15\ feet, y=2,000\ pounds[/tex]
Remember that
[tex]k=y*x[/tex]
substitute
[tex]k=2,000*15=30,000[/tex]
There are 1,379 souvenir paperweights that need to be packed in boxes. Each box will hold 15 paperweights. How many boxes will be needed?
92 boxes
1379/15=91.93 but u need a full box so 92
Answer:
92
Step-by-step explanation:
Given:
Number of Paperweights = 1,379
Number of Paperweights that each box can hold = 15
Number of boxes needed = 1379 ÷ 15 = 91.933 boxes
Because 0.933 of a box is of no use to anyone, we simply round this number up to the next whole box and just have the last box partially full.
This gives us 92 boxes.
Any Help Is Very Appreciated! (Picture is provided below)
Not sure how to do this at all won't lie
Answer:
(-2,0.2)
Step-by-step explanation:
we have
[tex]f(x)=2(3)^{x}[/tex]
[tex]g(x)=10log(x+3)[/tex]
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The intersection points are (-1.9,0.2) and (1,6)
see the attached figure
therefore
The solution of the system of equations are the points (-1.9,0.2) and (1,6)
4(x)+6+3=17 what does x equal
Hello There!
X=2
To solve this, we first need to understand that when we see an X in parentheses, we multiply the number before it in this case 4 by X.
The answer is 2 because we multiply 4 by 2 which is the x value so 4*2 is equal to 8 and they we add 9 to it because the sum of 6 and 3 is 9.
Finally, our answer we get is 17 so our X value is 2.
Have A Great Day!
what is the y-intercept for the equation 3x+5y=30?
Answer:
the y-intercept is -6
Step-by-step explanation:
3x+5y=30
-5y -5y
(30-)3x=30-5y(-30)
3x-30=5y/y
3/5x-6=y
Factorise completely
200y²-18x²
Answer: 2(10y+3x)(10y-3x)
Step-by-step explanation:
2(100y²- 9x²)
2[ (10y+3x)(10y-3x) ]
How is the graph of y = 3(x+ 1)^2 related to its parent function, ? It is translated 1 unit right and compressed vertically by a factor of 3. It is translated 1 unit left and compressed vertically by a factor of 3. It is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
"It is translated 1 unit left and stretched vertically by a factor of 3"
Step-by-step explanation:
The parent function here is y = x^2
Let's give out some general rules of transformation:
If y = f(x) is a parent function, then
1. If we have y = a * f(x)
| a | > 1 is a stretch;
0 < | a | <1 is a compression, vertically for both
and
2. If we have y = f(x-c), this means horizontal translation to right c units and y = f(x+c) means horizontal translation c units left
Looking at y = 3(x+1)^2, we can say that "it is vertical stretch by a factor 3 and horizontal translation 1 units left"
The product of three consecutive numbers is 990. What is the sum you f the 3 whole numbers?
Answer:
20
Step-by-step explanation:
If the three numbers are x, x+1, and x+2, then:
x (x+1) (x+2) = 990
x (x² + 3x + 2) = 990
x³ + 3x² + 2x - 990 = 0
(x - 9) (x² + 12x + 110) = 0
Since x must be a whole number, x = 9. You can also use simple trial and error to find that the three numbers are 9, 10, 11.
The sum is:
9 + 10 + 11 = 20
Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units right and 4 units up to form triangle A″B″C″. If vertex A is at (-4, 2), what are the coordinates of vertex A″?
Answer:
The coordinates of vertex A" is (3 , 1)
Step-by-step explanation:
* Lets revise The translation of a point
- If the point (x , y) translated horizontally to the right by h units
then the new point = (x + h , y)
- If the point (x , y) translated horizontally to the left by h units
then the new point = (x - h , y)
- If the point (x , y) translated vertically up by k units
then the new point = (x , y + k)
- If the point (x , y) translated vertically down by k units
then the new point = (x , y - k)
* Now lets solve the problem
∵ Δ ABC has a vertex A = (-4 , 2)
∵ The Δ ABC is translated 2 units right and 5 units down to form
triangle A′B′C′
- From the rule above the x coordinate id added by 2 and the
y-coordinate is subtracted by 5
∴ A' = (-4 + 2 , 2 - 5) = (-2 , -3)
∴ The image of vertex A is A' = (-2 , -3)
∵ Δ A'B'C' is then translated 5 units right and 4 units up to form
triangle A″B″C″
- From the rule above the x coordinate is added by 5 and the
y-coordinate is add by 4
∴ A" = (-2 + 5 , -3 + 4) = (3 , 1)
* The coordinates of vertex A" is (3 , 1)
Answer:
it is a
Step-by-step explanation:
What is the length of QR?
Answer:
C
Step-by-step explanation:
Since the triangle is right with hypotenuse QR
Use Pythagoras' identity to solve for QR
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
QR² = 8² + (8[tex]\sqrt{3}[/tex] )²
= 64 + 192
= 256 ( take the square root of both sides )
QR = [tex]\sqrt{256}[/tex] = 16
Final answer:
The length of QR is approximately 2.25 units. Since qr and qs are similar, the length of QR is also approximately 2.25 units.
Explanation:
The length of QR can be determined based on the given information about the vectors near S, R, and T. The vectors near S start at about 6 units away, while vectors near R and T start at about 4 units. Using the equation qr|d² = qs|D², we can find that as|¶R = D² / d² = 36 / 16 = 2.25. Since qr and qs are similar, the length of QR is also approximately 2.25 units.
Please answer this correctly
0.001, 0.014, 0.1, 9.41
6. Simplify:
(1) (37 - (-8)]+[11 - (-30)]
Plz answer
Answer:
86
Step-by-step explanation:
Since something minus a negative is just adding, we get 37-(-8)=37+8 or 45. We can do the same with 11-(-30) which is 11+30 or 41. So 45+41=86
Answer:
86.
Step-by-step explanation:
Work out the 'inner' parentheses first:
(37 - (-8)] + [11 - (-30)]
= (37 + 8) + (11 + 30)
Now the outer parentheses:
= 45 + 41
= 86.
The polygons below are similar. Find the value of z. Polygons ABCD and EFGH are shown. AB equals 6. BC equals 8. CD equals 10. AD equals x. EF equals y. FG equals 6. GH equals z. HE equals 12.
4.5
7.5
12
16
Answer:
7.5Step-by-step explanation:
Look at the picture.
If polygons ABCD and EFGH are similar, then corresponding sides are in proportion.
[tex]\dfrac{GH}{CD}=\dfrac{FG}{BC}[/tex]
We have
[tex]GH=z,\ CD=10,\ FG=6,\ BC=8[/tex]
Substitute:
[tex]\dfrac{z}{10}=\dfrac{6}{8}[/tex] croaa multiply
[tex]8z=(10)(6)[/tex]
[tex]8z=60[/tex] divide both sides by 8
[tex]z=\dfrac{60}{8}\\\\z=7.5[/tex]
how many nickels does it take to make $4.85
Answer is:
37 nickels
Answer:
it takes 97 nickels
Step-by-step explanation:
4.85÷0.05=97
Is 9, 12, 15 the lengths of the sides of a right triangle? (Show work)
Hello There!
To find out if these lengths make a triangle, you have to add up any two sizes and they must be greater than the third side for it to form a triangle.
Let's Test It!
"9+12=21" 21 is greater than 15
"9+15=24" 24 is greater than 12
Yes This Does Form A Triangle!
Answer:
Yes, the triangle lengths 9, 12, and 15 are lengths of the sides of a right triangle.
Step-by-step explanation:
There are multiple different ways to prove that this answer is correct.
To begin, we could recognize that these side lengths are a Pythagorean triple, or multiples of side lengths that satisfy the Pythagorean theorem, and thus prove that the lengths constitute a right triangle. In this case, 9, 12, and 15 represent the 3, 4, 5 Pythagorean triple where each side length is multiplied by a factor of three.
3x3=9
4x3=12
5x3=15
Therefore, these side lengths do make a right triangle because they represent a multiple of a Pythagorean triple.
If we didn’t recognize this, we could always plug the side lengths into the Pythagorean theorem, a^2 + b^2 = c^2.
In this case, we get
9^2 + 12*2 = 15^2
If we simplify, we get:
81+144 = 225
And if simplified further, we get:
225=225,
Which is a true statement, proving that these side lengths do make up a right triangle.
Hope this helps!
The slope of a line is -1/2 . What is the slope of a line that is parallel to it? A. 1/2 B.2 C. -1/2 D. -2
Step-by-step explanation:
We know any line that is parallel to other line has same slope.
Here, m1=m2
So, slope will be -1/2.
For this case we have by definition, that if two lines are parallel then their slopes are equal. That is to say:
[tex]m_ {1} = m_ {2}[/tex]
If we have a line of the form:
[tex]y_ {1} = - \frac {1} {2} x_ {1} + b_ {1}[/tex]
Then a parallel line will be given by:
[tex]y_ {2} = - \frac {1} {2} x_ {2} + b_ {2}[/tex]
That is, the slopes are the same!
Answer:
Option C
What is the discriminant of 3х^2 + 6x = 2?
Answer:
Δ = 60
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the discriminant
Δ = b² - 4ac
Given
3x² + 6x = 2 ( subtract 2 from both sides )
3x² + 6x - 2 = 0 ← in standard form
with a = 3, b = 6 and c = - 2
b² - 4ac = 6² - (4 × 3 × - 2) = 36 - (- 24) = 36 + 24 = 60
Find the area of the triangle.
24 square units
12 square units
11 square units
Area of a triangle is 1/2 x base x height.
The base is 6 units long and the height is 4 units.
Area = 1/2 x 6 x 4 = 12 square units.
Sone for x and y
2x -y = 11
3x – 2y=6
Select one
a. (16.-21)
b. (4, -3)
c. (-3,4)
d. (16,21)
Answer:
d
Step-by-step explanation:
Given the 2 equations
2x - y = 11 → (1)
3x - 2y = 6 → (2)
Multiply (1) by - 2 and adding will eliminate y
- 4x + 2y = - 22 → (3)
Add (2) and (3) term by term
(3x - 4x) + (- 2y + 2y) = (6 - 22)
- x = - 16 ( multiply both sides by - 1 )
x = 16
Substitute x = 16 into (1) or (2) for corresponding value of y
(1) : 32 - y = 11 ( subtract 32 from both sides )
- y = - 21 ( multiply both sides by - 1 )
y = 21
Solution is (16, 21 ) → d
Answer:
It's d. (16,21).
Step-by-step explanation:
2x - y = 11 .............(1)
3x – 2y = 6...........(2)
Multiply the first equation by -2:
-4x + 2y = -22.......(3)
Adding (2) + (3):
-x = -16
x = 16.
Substitute for x in equation (1):
2(16) - y = 11
-y = 11-32 = -21
y = 21.
What is the formula to find the Lateral Area of a pyramid
Answer: The general equation for the lateral area of a pyramid is LSA=(1/2)pl
P is the perimeter
L is the slant
f(X)=-2x-3
g(X)=3X+1
find (fxg)(X)
The value of [tex]f(g(x))=-6x-5[/tex]
Composite function :Given functions are, [tex]f(x)=-2x-3,g(x)=3x+1[/tex]
We have to find composite function [tex]f(g(x))[/tex].
[tex]f(g(x))=f(3x+1)\\\\f(g(x))=-2(3x+1)-3\\\\f(g(x))=-6x-2-3\\\\f(g(x))=-6x-5[/tex]
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To find (fxg)(X), you need to multiply the two given functions, apply the distributive property, and then combine like terms. The result for (fxg)(X) is -6x² - 11x - 3.
Step-by-step Explanation:
First, write out the functions: f(X) = -2x - 3 and g(X) = 3X + 1.Multiply the two functions together: h(X) = (-2x - 3)(3x + 1).Apply the distributive property: h(X) = -2x * 3x + (-2x) * 1 + (-3) * 3x + (-3) * 1.Simplify each term: h(X) = -6x² - 2x - 9x - 3.Combine like terms: h(X) = -6x² - 11x - 3.Therefore, (fxg)(X) = -6x² - 11x - 3.
Are these fractions equivalent or nonequivalent?
xy/4y x/4
Answer:
They are equivalent
Step-by-step explanation:
x/4 multiplied by y/y equals to xy/4y. Therefore, they are equivalent
17x - 6 + 3x - 5 = x + 11 + 4x
Answer:
I believe it's 22/15
Step-by-step explanation:
17x -6 + 3x - 5 = 1x + 11 + 4x first you add the 17x and 3x and 1x and the 4x
which it would be: 20x - 6 -5 = 5x + 11;
20x - 11 = 5x + 11,
-5 -5
15x - 11 = 11
+11 +11
15x = 22
15 15 Divide
x = 22/15
Hope my answer has helped you if not i'm sorry.
What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ?
Answer:
199
Step-by-step explanation:
For this problem, you have to write an formula.
a(n)=a(1)+(n-1)d
n is the term you are trying to find (in this case it's 50).
a(1) is the first term in the sequence (in this case it's 3).
d is the common difference (in this case it's 4).
Plug those in, and you get:
a(50)=3+(50-1)4
And you can easily solve that and get a(50)=199.
Answer:
199
Step-by-step explanation:
Find the missing triangle. Leave answer in simplest radical form. Also please explain clearly.
Answer:
Pythagorean Theorem
hypotenuse^2 = side^2 + side^2
16^2 = 7^2 + side ^ 2
256 - 49 = side^2
side x = sq root (207)
207 = 9 * 23 Therefore,
side x = 3 * sq root (23)
answer is A
Step-by-step explanation:
Which shows the correct values for proma’s friends who prefer orange juice ?
Answer:
Girls: 9; Boys: 11
Step-by-step explanation:
16-7=9
14-3=11