What does the number shown below equal to?
-15x = 390
Answer:
x =-26
Step-by-step explanation:
-15x = 390
Divide each side by -15
-15x/-15 = 390/-15
x =-26
Answer:
X = -26
Step-by-step explanation:
Divide both sides by -15.
390/-15 = -26
X is equal to -26.
when reporting descriptive data such as the mean, what additional information should also be reported that expresses how different the scores are in the distribution?
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).
Name the transformation that maps line segment RS to line segment R''S''.
Answer:
rotation 180° (ccw) over point (0.5 , 0.5)
Step-by-step explanation:
R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)
check: rotation over (0.5,0.5) 180°
x'' = - (x - x₀) + x₀ .. x: original x coordinate, x₀ : center of rotation
y" = - (y - y₀) + y₀
for R" : x" = - (-2 - 0.5) + 0.5 = 3
y" = -(4 - 0.5) + 0.5 = -3
You can verify the coordinates of S" by the above formula.
** (0.5,0.5) is the intersect of RR" and SS"
Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?
Answer:
Step-by-step explanation:
25- guaranteed
$14 on each table waited on
He waited on 17.
17x14= $238 tips
238+25= $263
1. Marques expects to earn $263 on 17 tables
2. He expects to make 25+14t per day.
show that P(x)=x³-6x²+11x-6 is divisible by x-1.
HERE IS YOUR ANSWER MATE
HOPE ITS HELPFUL
HAVE A GREAT FUTURE
LOVE FROM INDIA
Hello haohaoxNienie!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]
To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
So, let's do the division (steps in the attached picture).
__________________
We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
More steps :-x² - 5x + 6
= (x - 3) (x - 2) [use the splitting the middle term method].
So, the zeroes are,
(x - 3)
x - 3 = 0
x = 3 ⇨ 1st zero.
(x - 2)
x - 2 = 0
x = 2 ⇨ 2nd zero.
Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
p(x) = x³ - 6x² + 11x - 6
p(3) = 3³ - 6(3)² + 11 (3) - 6
p(3) = 27 - 54 + 33 - 6
p(3) = 0.
p(x) = x³ - 6x² + 11x - 6
p(2) = 2³ - 6(2)² + 11 (2) - 6
p(2) = 8 - 24 + 22 - 6
p(2) = 0
Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
Hope it'll help you!
ℓu¢αzz ッ
Please help
What is the measure of ∠ABC?
Answer:
180°
Step-by-step explanation:
How many students spent less than 61 mins studying
6
11
12
17
Answer: 17
Step-by-step explanation:
Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5
Answer:
Step-by-step explanation:
Slope = m = -1/4
y-intercept = b = 5
Slope intercept form = y = mx +b
[tex]y =\dfrac{-1}{4}x+5[/tex]
The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?
A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.
Answer:$62
Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.
Help find the measure of X
Answer:
x = 3.236
Step-by-step explanation:
1. What is 3/4 divided by 1/6
Answer:
9/2 or 4 1/2
Step-by-step explanation:
3/4 ÷ 1/6 = 3/4 × 63/4 × 6 = 18/418/4 = 9/29/2 = 4 1/2Therefore, the answer is 9/2 or 4 1/2.
Answer: 3
Step-by-step explanation:
3/4 ÷ 1/6
3/4 × 6/1
Divide 4 and 6 by 2
3/2 × 3/1
3 × 3 / 2 × 1
6 / 2 = 3
Given that
R
=
9
x
+
8
y
Find
x
when
y
=
3
and
R
=
5
Give your answer as an improper fraction in its simplest form.
Answer:
X = 19/9
Step-by-step explanation:
R = 9x + 8y
R = 5, Y = 3
5 = 9x + 8(3)
9x = 8(3) - 5
9x = 19
x = 19/9
(5a-4)(3a-1)
How do I do it?
Answer:
15a^2 -17a +4
5a x 3a = 15a^2 bc a times a makes it squared.
next, 5a x -1 = -5a
and then -4 x 3a = -12a
-5a -12a (bc they're like terms) = -17a
then, -4 x -1= 4 ( two negs cancel each other out)
I apologize for my mistake the first time
Geometry please help me
Determining angle measures in context.
Answer:
d
Step-by-step explanation:
the corresponding angles are described by 2 parallel lines and a line that cross them all
Please help I will give Brainiest if correct!
What is the rate of change?
Answer: 2 is the correct answer I am 100% positive
Step-by-step explanation:
Answer: the rate of change is 2
Step-by-step explanation:
12 cm
14 cm
1
-
Find volume
Answer:
Volume of cylinder = 6,330.24 cmSolution:
Volume of cylinder = area of base × altitude
Volume = πr² × altitude
V= 3.14 × 12² × 14
V = 3.14 × 144 × 14
V = 6,330.24 cm
5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S
The quadrilaterals are similar and are related by a scale factor, taken from
a specific location, that maps the points on one figure to the other.
a. The scale factor that takes Figure 1 to Figure 2, is 3
b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]
Reasons:
From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;
Let ABCD represent Figure 1, we have;
ABCD ~ PQRS
Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)
Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)
Therefore;
a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;
[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]
Which gives;
[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]
The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3
(3 times the lengths of Figure 1 gives the lengths on Figure 2)
b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;
[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]
Which give;
[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]
The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]
Learn more here:
https://brainly.com/question/17207164
A number y is multiplied by -0.8. The product is -49.
What is the value of y?
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer: y = -5/3x + 4 and 5x + 2y = 4
Step-by-step explanation:
1. Firstly, we should substract 5x on both sides of the equation.
3y = -5x + 12
Then we divide by 3 on both sides of the equation. This would give us our answer.
y = -5/3x + 4
2. The answer is 5x + 2y = 4.
The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.
2y = -5x + 4
Then we should divide 2 on both sides of the equation.
y = -5/2x + 4
The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.
Justify each step
-12p+45-7p
Answer:
Given, Associative, Commutative, Associative, Addition
Step-by-step explanation:
-12p + 45 -7p Given
-12p + (45 - 7p) Associative
-12p + (-7p + 45) Commutative
(-12p + -7p) + 45 Associative
-19p + 45 Addition
what is the lcm of 9 and 12
Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.
9: 9, 18, 27, 36, 45, 54, 63, 72, 81...
12: 12, 24, 36, 48, 60, 72, 84...
Do you see what I see? The LCM is 36. Hope this helps!
~Just an emotional teen who listens to her favorite songs
[tex]SilentNature[/tex]
on average, what value is expected for the t statistic when the null hypothesis is true?
Answer:
0
Step-by-step explanation:
Solve the equation.
y + 6 = -3y + 26
O y=-8
O y=-5
O y = 5
O y = 8
The solution of Equation is y=5.
The correct option is C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
y+ 6 = -3y + 26
Now, solving for y we get
y + 3y= 26 - 6
4y= 20
y= 20/4
y= 5
Thus, the value of y is 5.
Learn more about Equation here:
https://brainly.com/question/29538993
#SPJ2
6. There are only cars and trucks in the parking lot. Five out of every 13
vehicles are cars. If there are 143 vehicles in the parking lot, how many
are trucks?
Pls help me
Answer:
88 trucks
Step-by-step explanation:
Ratio of cars : vehicles = 5:13
Hence, the ratio of trucks : vehicles = 8:13
143/13 = 11
If the number of vehicles is 143,
we have to multiply both sides of the ratio by 11:
8*11 : 13* 11
88 : 143
Hence, there are 88 trucks for every 143 vehicles.
Hope this answers your question... Have a wonderful time ahead at Brainly!
he difference of 29 and n
Answer:
absolute value of n - 29
Step-by-step explanation:
n - 29
A Mars rover traveled from point A to point B at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5 cm/sec, and increased travel time by 15 minutes. What is the distance between point A and point B?
Using the speed - time relation, the distance between point A and B is 6000 cm
Recall :
Distance = speed × time Time = distance / speedLet ; the time taken = t ; distance = d
To trip :
d = 4t ----(1)Fro trip :
t is in seconds ; 15 minutes = (15×60) = 900 secondsd = 2.5(t + 900)
d = 2.5t + 2250 - - - - - (2)
Equating (1) and (2)
4t = 2.5t + 2250
Collect like terms
4t - 2.5t = 2250
1.5t = 2250
t = 2250 / 1.5
t = 1500 seconds
Hence, distance = 4(t) = 4(1500) = 6000 cm
Therefore, the distance between the points is 6000 cm
Learn more : https://brainly.com/question/25203683
plz help
Which of the algebraic expressions below is equal to 28?
Select all that apply.(ANSWER ONLY IF YOU KNOW!)
A) (34)(20)×2
B) (24÷4)(7)
C) 9(7−3)–8
D) (3+4)⋅(22+3)
Answer:
ITS C
Step-by-step explanation:
9(7−3)−8
=(9)(4)−8
=36−8
=28
Answer:
C.
Step-by-step explanation:
9(7-3)-8
according to PEMDAS, we have to do the parenthesis first. so
9(4) - 8
then
36 - 8
which gives us 28.
Hope this helped! (:
simplifiy the given epression
(-3.2)^0
Answer:
(-3.2)^0 = 1
Step-by-step explanation:
Anything to the power of 0 equals 1.
Answer:
1
Step-by-step explanation:
Any number raised to a power of 0 is equal to 1.
If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.
Answer:
a. <1 and <3
Step-by-step explanation:
Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?
Answer:
The Tickets grow approximately ¢68 or $0.68 each year
Step-by-step explanation:
7% of 9.75 = 0.68
A percentage is out of a fraction of 100; 7/100
Hope This Helps!