Given:
The system of inequalities is
[tex]x\leq 5[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has no solution.
Solution:
We have,
[tex]x\leq 5[/tex] ...(1)
It means the value of x is less than or equal to 5.
[tex]x\geq a[/tex] ...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
[tex]a\leq x\leq 5[/tex]
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
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A bag contains n cards, each having numbers (1,2,3...,n) written on it. If all numbers are used, the probability of drawing a card with a number less than or equal to 4 is 1/6. How many cards are in the bag?
Step-by-step explanation:
There are 4 cards less than or equal to 4.
1/6 = 4/n
n = 24
1. In part (b) of the example, why isn't AB a correct answer? 2. In part (c) of the example, would KJL be an appropriate answer?
Answer:
Step-by-step explanation:
1. AB isn't a correct answer because it only refers to the part of the line between point A and point B. This is incorrect because it doesn't represent the whole line which goes on infinity past point A (as seen by the arrow).
2. KJL would not be an appropriate answer because the points must be listed in the same order that they appear in direction of the line. The angle shown is angle K so K should be the middle letter as it is the middle point with the angle. KJL would not be appropriate because it would refer to the angle J if there was another line between J and L.
Hope this helped!
What kind of number is 92 and why? if you know the others that'd be great!!
Answer:
hello!
Step-by-step explanation:
The number 92 is a rational number if 92 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 92 to be a rational number, the quotient of two integers must equal 92.
Find the extraneous solution of the equation |4x−42|=−10x.
Answer:
x=3 is the extraneous solution
Step-by-step explanation:
|4x-42| = -10x
Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.
1st equation:
4x - 42 = -10x2nd equation:
4x - 42 = 10xSolve both equations for x:
1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7Plug in both values for x in the original equation to find the extraneous solution:
x=-7
|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70x=3
|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30can you help me , would this answer be 1 ?
Step-by-step explanation:
Y=90° as its a right angled triangle
what’s the slope-intercept form of y + 3 = 4(x - 5),
Slope-intercept form is: y = mx + b
m = slope
b = y-intercept
y + 3 = 4(x - 5)
Distribute the 4
y + 3 = 4x - 20
Subtract 3 from both sides.
y = 4x - 23
Answer:
Step-by-step explanation:
Slope intercept form...
y=mx+c
where, m=slope
c=intercept
y + 3 = 4(x - 5)
Open the Brackets.
y + 3 = 4x - 20
SUBTRACT 3 FROM BOTH SIDES.
y + 3 (-3)= 4x - 20 (-3)
Take note of the signs and solve.
y = 4x - 23
4 is the slope.
-23 is the intercept.
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In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.
What is the weight of gold in the alloy, if there are 80g of silver?
Given :
The ratio of the amount of gold to the amount of silver is 2:5.
To Find :
The weight of gold in the alloy, if there are 80 g of silver.
Solution :
Let, amount of gold is x.
So, the ratio of amount of gold and silver is :
[tex]\dfrac{x}{80}=\dfrac{2}{5}\\\\x=32\ g[/tex]
Therefore, the weight of gold in the alloy is 32 g.
Hence, this is the required solution.
Answer:
32
Step-by-step explanation:
do 80÷5=16 to get unit. Then do 16*2=32
Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent
variable.)
Vertex: (-1/2,0)
point:
(-3/2,-16/3)
Answer:
[tex]y = \frac{16}{3} x^{2} + 16x + \frac{20}{3}[/tex]
What is the prime factorization of 36
Answer:
[tex]2^{2} x 3^{2}[/tex]
Step-by-step explanation:
Answer:
2^2*3^2
Step-by-step explanation:
You can break down 36 through ways down to its prime factors through multiple ways like a facor tree
36
4 9
2 2 3 3
Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.
Marc is creating a rectangular garden in his back yard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answer:[12,20]
Step-by-step explanation:
The value of width will be from 12 to 20.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
Marc is creating a rectangular garden in his backyard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet.
Then the inequality is given as,
60 < 2(W + 18) < 76
Simplify the inequality, then the value of the width W will be
60 < 2(W + 18) < 76
30 < (W + 18) < 38
12 < W < 20
Thus, the value of the width will be from 12 to 20.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
How many chirps can you expect a cricket to make in 1 min when the outside temperature is 50 ° F ? ( it’s not 75)
F = n/4 + 37, for F = 50
50 = n/4 + 37
Subtract 37 from both sides
13 = n/4
Multiply both sides by 4
52 = n
Describe the difference between the variance between samples MSB and the variance within samples MSW
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
Generally
[tex]MS_B[/tex] stand for Mean Square Between which the mean calculated based on the difference between the sample means
While
[tex]MS_W[/tex] stands for Mean Square Within which the mean calculated based on the difference between the elements within the set(group)
Thus
The [tex]MS_B[/tex] measures the differences related to the treatment given to each sample. The [tex]MS_W[/tex] measures the differences related to entries within the same sample.
Car A is moving twice as fast as car B. Car B starts 174. Meters in front of car A. If car A passes car B in 27 seconds, how fast is car B going.
Answer: The speed of car B is 6.44 m/s
Step-by-step explanation:
Let's define:
Sa = Speed of car A.
Sb = Speed of car B.
I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)
Then we can write the positions of each car as:
Pa(t) = Sa*t
Pb(t) = Sb*t + 174m.
We also know that Sa = 2*Sb.
And we know that at t= 27s, car A passes car B.
Then at t = 27s, the positions of both cars must be the same:
Pa(27s) = Pb(27s)
Sa*27s = Sb*27s + 174m.
Now we can replace Sa by 2*Sb (from the above equation)
2*Sb*27s = Sb*27s + 174m
Now we can solve this for Sb.
2*Sb*27s - Sb*27s = 174m
Sb*27s = 174m
Sb = 174m/27s = 6.44m/s.
The speed of car B is 6.44 m/s
I need help please helpp
Answer:
I believe it's B.Let me know if it's right,if it not,i'm so sorry
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The other statements incorrectly describe the transformations. C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.
p=a+b+c solve for b
c=90x+35
Answer:
x=bc-35 over 90
Step-by-step explanation:
Product and Quotient Functions
Answer:
srry don't know....
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which expression is equivalent to -4.5-6.2y
Answer:
the answer is 6.2y-4.5
Step-by-step explanation:
Answer:
the answer is A. -6.2y - 4.5
Step-by-step explanation:
got it right on edge, i hope this helps.
answer ASAP. Subject is math
Answer: option C is wrong
How many 1s are in 20?
Solve the equation.
b + 6 = 27
Answer:
Step-by-step explanation:
b+6=27
b=27-6
b=21
Answer:
b = 21
Step-by-step explanation:
To find this answer, all you have to do is subtract 6 from both sides of the equal sign, where you will cancel out the 6 and subtract 6 from 27. 27 minus 6 is 21, so you are left with b = 21
What is the lowest value of the range of the function
shown on the graph?
Answer:
2
Step-by-step explanation:
2
Ima Talker's cellphone bill is $30 in January. In each subsequent month, her bill increases by $13. (ex.
February bill is $43). How much will Ima have spent in total on her cell phone by the end of the year
(January to December)?
a. $173
d. $1296
b. $2436
e. $186
C.
$1218
Answer:e-186
Step-by-step explanation:43-13=30 and then multiply 13x12 which is 156 and then add 30 to 156 and you get your answer
Pls pls pls help ASAP 1,2,3,4 ??
Answer:
draw a circle, cut into 3 equalbparts then shade one part
Step-by-step explanation:
the third one down
hope this helps
1. Solve the shape equation puzzle:
= 8
=
= 15
A jar contains 68 marbles, of which 26 are blue, 29 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Which of the following correctly uses absolute value to show the distance between -50 and 12? A: |-50 - 12| = |-62| = -62 units B: |-50 + 12| = |-38| = 38 units C: |-50 + 12| = |-38| = -38 units D: |-50 - 12| = |-62| = 62 units
If $8500 is invested at 3.4% interest, compounded monthly, how much will the
investment be worth in 23 years?
O A. $18,339.66
O B. $9,071.53
O C. $19,142.10
O D. $18,559.10
Answer:
In 23 years, you will have $18,559.10
Step-by-step explanation:
5(-42/-7) + (-15) - (-3)
Answer:
2058
Step-by-step explanation:
A recipe for chili uses 2 cups of beans. Keith is making 1, times the recipe. Which equation helps Keith find how many cups of beans he needs?
Answer:
2x1=2
Step-by-step explanation:
If it asks for 2, but he is making that one time he still needs to use 2.