Given:
[tex]-3x+2b>8[/tex]
To find:
The value of x.
Solution:
We have,
[tex]-3x+2b>8[/tex]
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
[tex]-3x>8-2b[/tex]
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
[tex]\dfrac{-3x}{-3}<\dfrac{8-2b}{-3}[/tex]
[tex]x<\dfrac{-2b+8}{-3}[/tex]
The required inequality for x is [tex]x<\dfrac{-2b+8}{-3}[/tex].
Therefore, the correct option is A.
{x|x is a natural number between 7 and 16}
Answer:
8,9,10,11,12,13,14,15
Step-by-step explanation:
7 and 16 not included
i really need help :( can someone please help me T_T
Answer: $25.41
Convert the percentage into a decimal, and then multiply that decimal by the total price to find the tip. Subtract the tip amount from the total price to find the price before the tip.
15 ÷ 100 = 0.15
15% of 29.90 = 0.15 · 29.90 = 4.48500 ≅ $4.49
$29.90 - $4.49 = $25.41
∴ the price before tip, b, of Mr. Johnson's lunch is $25.41.
Expand and simplify (x + 5)(x − 4)
Answer:
133.5.744003839933030
Answer:
x^2+x-20
Step-by-step explanation:
x×x+x×-4+5x+5×-4
x^2-4x+5x-20
Hope this helps :)
Evelyn is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Evelyn reserved 2 more small rooms than large rooms, which altogether can accommodate 54 guests. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.
Answer:
Let s=
\,\,\text{the number of small rooms reserved}
the number of small rooms reserved
{Let }l= {the number of large rooms reserved
Let l=the number of large rooms reserved
Each small room can accommodate 3 guests, so ss small rooms can hold 3s3s guests. Each large room can accommodate 5 guests, so ll large rooms can hold 5l5l guests. Therefore, the total number of guests accommodated 3s+5l3s+5l equals 54:54:
3s+5l=54
3s+5l=54
Since Evelyn reserved 2 more small rooms than large rooms, if we add 2 to the number of large rooms, we will get the number of small rooms, meaning ss equals l+2.l+2.
s=l+2
s=l+2
{Write System of Equations:}
Write System of Equations:
3s+5l= 54
s=l+2
Step-by-step explanation:
s=l+2
How do you find the positive solution to an equation?
No solutions, the graphs never intersectInfinite solutions, the expressions are equivalentThe same number of solutions as the highest degree, however, some of these solutions may not be real solutions, they may be complex solutionsLet s= the number of small rooms reserved
Let l=the number of large rooms reserved
Each small room can accommodate 3 guests, hence ss small rooms can hold 3s3s guests. Each large room can accommodate 5 guests, so all large rooms can hold 5l5l guests. Therefore, the total number of guests accommodated 3s+5l3s+5l equals 54:54:
3s+5l=54
3s+5l=54
Since the was Evelyn reserved 2 more small rooms than large rooms, if we add 2 to the number of large rooms, we will get the number of small rooms, meaning ss equals l+2.l+2.
s=l+2
s=l+2
Write System of Equations:
3s+5l= 54
s=l+2
Learn more about Equations here https://brainly.com/question/10413253
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Can somebody plz help me and answer these questions right thx!!!!!
(WILL MARK BRAINLIEST)
Answer:
R,I,NITE,RE,integer
Step-by-step explanation:
a)R
B) I
C) N,I,T,E
d) R,E
e) integer
Answer:
a. R
b. I
c. E and E
d. E, R
e. INTEGER
Step-by-step explanation:
A factory announced in 10% bonus to its 40 workers from the net profit at the end of the year if every workers recived Rs.6125 how much was the profit of the factory
Answer:
5,512.5
Step-by-step explanation:
Answer:
Factory's net profit = Rs. 2,450,000
Step-by-step explanation:
A factory announced 10% bonus to its 40 workers from the net profit.
Every worker received Rs. 6125.
∴ The total bonus given = 40 × Rs. 6125 = Rs. 245,000
Let the factory's net profit be 'p'.
10% of p = Rs. 245,000
0.1p = Rs. 245,000
p = Rs. 245,000 ÷ 0.1 = Rs. 2,450,000
Select all the statements that must be true for any scaled copy Q of Polygon P. Angle measures of Polygon P clockwise from bottom left, in degrees, 90, 125, 35, 250, 80, 135. Group of answer choices The side lengths are all whole numbers. The angle measures are all whole numbers. Q has exactly 1 right angle. If the scale factor between P and Q is LaTeX: \frac15 1 5 1 5 1 5 , then each side length of P is multiplied by LaTeX: \frac15 1 5 1 5 1 5 to get the corresponding side length of Q.
Answer:
The correct options are;
1) The angle measures are all whole numbers
2) Q has exactly 1 right angle
Step-by-step explanation:
1) When a polygon is scaled to obtain another polygon, whereby the scale factor for the transformation is constant, we have;
The ratio of the sides of the two polygon will be constant, and the two polygons will be similar
Therefore, the interior angles of the polygon and the scaled copy will be equal
Given that the interior angles of the original polygon are all whole numbers, and the interior angles of the scaled copy are congruent to the interior angles of the original polygon, the interior angles of the scaled of the scaled copy are therefore all whole numbers.
2) Similarly, given that the interior angles of the original polygon has exactly 1 right angle, the interior angles of the scaled copy will therefore have exactly 1 right angle.
Which Sequence would graph as a linear equation? And how do you know?
A. 7, 10, 11, 14
B. 12, 15, 20, 25
C. 1,6, 12, 24
D. 4,9, 14, 19
Answer:
D is linear.
Step-by-step explanation:
D is linear because you can add the same number over and over again to get to the next one. Linear means repeated addition.
7(6+d)=49 Solve for d.
A:d=7
B:d=-1
C:d=-7
D:d=1
Answer: d = 1
Step-by-step explanation:
First distribute the 7 to each term of (6 + d) = 42 + 7d = 49 now subtract 42 from both sides which = 7d = 7. Divide by 7 = 7d/7 = 7/7 = d = 1
At an amusement park, a person spends $30 on admission and food, and then goes on r
number of rides that cost $2 each.
a. Write an equation to represent the total amount A spent
at the amusement park if a person goes on anywhere from 0 to
5 rides.
b. Represent the relation as a table, as a graph, and as a mapping
diagram.
c. Find the domain and range, and then determine whether the
relation is a function or not.
(10 points) I need help
-(x+1)+7=10
4x+7=2x-9
please show all work
Answer:
X= - 4
X= - 8
Step-by-step explanation:
-x - 1 +7 =10
-x +6 =10
-x = 10-6
-x = 4
Divide by - 1
X = - 4
4x +7=2x-9
4x-2x =-9 - 7
2x =-16
Divide by 2
X = - 8
please help for 15 points
Show some different ways you can make 7,502.
Answer:
7000+500+0+2
Step-by-step explanation:
I hope this helps you!
1.
Write the following number in words: 9,300,695.
Answer:
nine million, three hundred - thousand, six hundred ninety - five
Step-by-step explanation:
nine million, three hundred - thousand, six hundred ninety - five
9,000,000. 300,000. 600. 95.
Answer:
Step-by-step explanation:
nine million three hundred thousand six hundred and ninety five
Fraction to decimal
Answer:.1212
Step-by-step explanation:divide 4 by 33
Just divide the top number (numerator) by the bottom number (denominator) and you'll get your decimal. You may need to simplify the decimal you get, or convert it to a percentage, etc.
Jesus tiene un terreno cuadrado y su hermano uno rectángulalar,El Largo Del Terreno De Su hermano mide 5 metros más que el lado que el terreno que Jesús.mientras que el ancho del terreno de Si hermano mide lo mismo que el ancho del terreno cuadrado. ¿Cual es el area total de los terrenos?
Answer:
El terreno de Jesus es cuadrado.
El terreno del hermano es rectangular.
Definimos las variables:
Lh = Largo del terreno del hermano.
Ah = Ancho del terreno del hermano
Lj = Largo del terreno de Jesus.
Sabemos que:
Lh = 5m + Lj
Ah = Lj.
Sabemos que el area de un quadrado de lado L es igual a L^2.
Entonces el area del terreno de Jesus es Lj^2.
El area de un rectangulo de largo L y ancho A es igual a A*L.
El area del terreno del hermano de Jesus es:
Lh*Ah = (5m + Lj)*Lj
= 5m*Lj + Lj^2.
whats that song by nicki minaj where she like yells for a second and then starts mumbling nonsense?
Answer:
probably romans revenge or andaconda
Step-by-step explanation:
Find the distance (-8,-1) and (-1,5)
Answer:
[tex]\sqrt{85}[/tex] or 9.22
Step-by-step explanation:
The Greens are moving. Their real estate agent located 81 houses listed for sale in their price range. Of those houses listed for sale,
51 had a finished basement.
56 had a three-car garage.
37 had a finished basement and a three-car garage.
Complete parts a) through c).
a) How many had a finished basement but not a three-car garage?
b) How many had a three-car garage but not a finished basement?
c) How many had either a finished basement or a three-car garage?
Answer:
We know that:
There is a total of 81 houses:
51 had a finished basement.
56 had a three-car garage.
37 had a finished basement and a three-car garage.
a) How many had a finished basement but not a three-car garage?
51 had a finished basement, and 37 have a finished basement and the garage, then:
51 - 37 = 14 hoses have only the basement.
b) How many had a three-car garage but not a finished basement?
Same reasoning as above:
56 - 37 = 19 houses only have the garage.
c) How many had either a finished basement or a three-car garage?
Now we only count the ones that have one finished thing, in this case, we already found the number of houses that have only the garage or only the basement, then the number of houses that either had a finished basement or a finished garage is:
19 + 18 = 37 houses.
Which line has a slope of 3 and a y intercept of 2?
Answer: A
Step-by-step explanation:
Hope this helps
Answer:
A.
Step-by-step explanation:
Because we know the line has a slope of positive 3, this means we can cross out Graphs C and D because they have negative slopes. We also know that the line has a y-intercept of 2. This means that Graph B cannot be the right answer because it has a y-intercept of 3. This leaves us with Graph A which is the answer.
15 – 2 (3 - 2x) = 49
13m = 3 someone help me!
Answer:13m=3
Step 1: Divide both sides by 13.
13m = 3
Answer:
m= (3 /13)
write it as a decimal
hope this helps
:)
I only need the final question, Please hurry!
Answer:
c would be the power of -5
Step-by-step explanation:
5+4+3-8+7-6 show steps
Answer:
5
Step-by-step explanation:
5 + 4 + 3 − 8 + 7 − 6
= 9 + 3 − 8 + 7 − 6
= 12 − 8 + 7 − 6
= 4 + 7 − 6
= 11 − 6
= 5
if a normal dice is rolled 900 times how many times is the number 4 expected
Answer:
125 times
Step-by-step explanation:
Here, we are required to determine how many times is the number 4 expected if a normal dice is rolled 900 times.
The number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.For a normal dice, there are six faces labelled numbers; 1, 2, 3, 4, 5, 6.
The probability of obtaining the number 4 each time the die is rolled is; 1/6
At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the third roll of the normal dice, the probability of obtaining the number 4 is 1/6.The probability of obtaining 4 in all 3 rolls is;
(1/6 + 1/6 + 1/6) = 3(1/6).
Ultimately, the number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.
Read more:
https://brainly.com/question/8385930
Solve the following linear system using the substitution method. Be sure to put your x and y values in the correct spots in the provided coordinate.
24=-3x+y
5y=15
Answer:
The answer is (7,3)
Step-by-step explanation:
to solve this systems of equations, set both equations equal to y (common variable in both equations).
[tex]24-3x=y\\3=y[/tex]
by looking at both of these, we already know that y is equal to 3.
substitute y for 3 to solve for x.
[tex]24-3x= 3[/tex]
subtract 24 from both sides.
[tex]-3x= -21[/tex]
divide both sides by -3.
[tex]x=7[/tex]
the ordered pair will be written as (7,3)
you can check your answer by substituting 7 and 3 for x and y.
[tex]24= 3(7)+3\\24=21+3\\24=24[/tex]
hope this helps ;)
Can you prove the red lines in the diagram are parallel ? Explain your answer
Answer:
yes
Step-by-step explanation:
the red lines have the same angle from the blue line
What are the coordinates of the vertices of a dilation for triangle ABC at A (-1,-1) B(4,0) and C(2,3). A'B'C'
with scale factor 2.5 centered at the origin?
Answer:
The coordinates of the image of Δ ABC are:
A' (-2.5, -2.5), B' (10, 0), C' (5, 7.5)
Step-by-step explanation:
Let us revise the rule of dilation
If the point (x, y) dilated by scale factor k centered at the origin, then the image of the point is (k x, k y)
We will use this rule to solve the question
∵ The vertices of triangle ABC are A (-1, -1), B (4, 0), C (2, 3)
∵ The scale factor of a dilation is 2.5
∴ k = 2.5
∵ The center is the origin
→ That means multiply each coordinate of the points by 2.5
∴ A' = (-1 × 2.5, -1 × 2.5)
∴ A' = (-2.5, -2.5)
∴ B' = (4 × 2.5, 0 × 2.5)
∴ B' = (10, 0)
∴ C' = (2 × 2.5, 3 × 2.5)
∴ C' = (5, 7.5)
The coordinates of the image of Δ ABC are:
A' (-2.5, -2.5), B' (10, 0), C' (5, 7.5)
A group of fitness club members lose a combined total of 28 kg in one week there approximately 2.2 pounds and 1 kg assuming the weight loss happened at a constant rate how many pounds did the group lose each day
Answer:
8.8 pounds
Step-by-step explanation:
There are 7 days in a week, so the daily loss was ...
(28 kg)/(7 days) = 4 kg/day
In pounds, that is about ...
(4 kg/day)(2.2 lb/kg) = 8.8 lb/day
Given the function f(x) = -0.5|2x + 2| + 1, for what
values of x is f(x) = 6?
Answer:
No values of x can make f(x)=6
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:
[tex]f(x) = -0.5|2x + 2| + 1[/tex]
We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:
[tex]-0.5|2x + 2| + 1=6[/tex]
Subtracting 1:
[tex]-0.5|2x + 2| =6-1=5[/tex]
Dividing by -0.5:
[tex]|2x + 2| =5/(-0.5)=-10[/tex]
We reach to this equation to solve:
[tex]|2x + 2| =-10[/tex]
As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
No Solution
Step-by-step explanation:
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