What is the solution to the inequality 5.25 – b ≥ 6.5? A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
Given:
The inequality is
[tex]5.25-b\geq 6.5[/tex]
To find:
The solution of the given inequality on the number line.
Solution:
We have,
[tex]5.25-b\geq 6.5[/tex]
Subtract 5.25 from both sides.
[tex]5.25-b-5.25\geq 6.5-5.25[/tex]
[tex]-b\geq 1.25[/tex]
Multiply both sides by -1 and change the sign of inequality.
[tex]b\leq -1.25[/tex]
The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.
-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.
[tex]b\leq -1.25[/tex], so the number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Therefore, the correct option is A.
Answer:
the correct answer is option C
Step-by-step explanation:
I fixed my mistake from choosing option A
Which demonstrates the distributive property? *
a + b = b + a
O (a + b) + c = a + (b + c)
a(b + c) = ab + ac
a + 0 = a
Answer:
a(b + c) = ab + ac demonstrates the distributive property ⇒ C
Step-by-step explanation:
The distributive property is the product of a number by the sum of the other two numbers equal to the sum of the product of the number with each of the other two numbers.
Example: x(y + z) = xy + xz
Let us check the choices to find which of them demonstrates the distributive property
∵ a + b = b + a
→ Adding a and b equals to adding b and a,
∴ It demonstrates the commutative property
∵ (a + b) + c = a + (b + c)
→ Adding the sum of a and b to c equals to adding c to the sum of a and b
∴ It demonstrates the associative property
∵ a(b + c) = ab + ac
→ Multiplying a by the sum of b and c equals the sum of the products
of a, b and a, c
∴ It demonstrates the distributive property
∵ a + 0 = a
→ The additive identity is zero
∴ It demonstrates the additive identity property
∴ a(b + c) = ab + ac demonstrates the distributive property
6(x-2=4(x+3) what does x equal
Hey mate here is your answer.
➛ 6(x-2) = 4(x+3)
➛ 6x-12 = 4x + 12
➛ 6x - 4x = 12 + 12
➛ 2x = 24
➛ x = [tex] \frac{24}{2} [/tex]
⛬ x = 12
Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X
Answer:
P=0.025x+100
Step-by-step explanation:
The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.
that's the correct answer^^^
y = 1/40x + 100 is an equation that represents P as a function of X
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.
Let the equation of line y = kx + b
Where b is 100
Since the given line passes through (0, 100) and (4000,200)
since For a line k = (y₂ - y₁)/(x₂ - x₁)
Thus, k = (200 -100)/(4000-0)
k = 1/40
Thus,
y = 1/40x + 100
Therefore, an equation that represents P as a function of X is y = 1/40x + 100.
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Complete question:
Mrs. Williams shops at a store that has an annual membership fee of $30. Today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her coworkers. Her total was $105. Write and solve the equation to find the number of fruit baskets Mrs. Williams purchased.
Answer:
$15
Step-by-step explanation:
Evaluate 6x – y if x = 5 and y = 8.
3
22
43
57
Answer:
the answer is 22
Step-by-step explanation:
you just need to plug in the values of x and y so...
6(5)-8
30-8
=22
An)
is a value that does not change
Answer:
An) is a value that does not change? yes
Which statement is best represented by the inequality d greater-than 11?
Mo worked more than 11 hours this week.
Mo worked 11 more hours than Quinn worked this week.
Mo worked less than 11 hours this week.
Mo worked 11 less hours than Quinn worked this week.
answer:
mo worked more than 11 hours this week.
Answer:
A
Step-by-step explanation:
if you know RS=St and
Answer: The side angle side postulate
Step-by-step explanation:
What is faster? 15 meters per minute or 15 kilometers per hour?
Answer:
15 kilometers
Step-by-step explanation:
15 kilometers is in conversion with miles
I need help fast I’m timed!
Answer:
-5
Step-by-step explanation:
3(q − 16) + –8 = –14
Answer:
q = 14
Step-by-step explanation:
3 (q - 16) + -8 = -14
3q - 48 + -8 = -14
3q - 56 = -14
+56 +56
3q = 42
/3. /3
q = 14
hope this helps :)
How many 1/3 inch pieces can be cut from 7/15 of an inch long
Answer:
1.4
Step-by-step explanation:
Create three different expressions that are each equal to 20. Each expression should include only these three numbers: 4, -2, and 10.
what is the value of x in the equation 3(x-2)+4x=10(x+1)
Answer:
-16/3 =x
Step-by-step explanation:
3(x-2)+4x=10(x+1)
Distribute
3x -6 +4x = 10x +10
Combine like terms
7x -6 = 10x+10
Subtract 7x from each side
7x-6-7x = 10x-7x +10
-6 = 3x+10
Subtract 10 from each side
-6-10 = 3x+10-10
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 =x
Hannah likes candy. She wants to purchase some candies all varieties of candy are $4.20 each. Hannah buys one mango candy and one apple candy. Write an expression that represents the total cost,t,of the candy if m represents the number of mango candies and a represents the number of apple candies
Answer: 4.20(2)
Step-by-step explanation:
Convert to Standard Form
13-6x-y=0
In the United States, 15,000,000 households use private wells for their water supply. Write this number in scientific notation.
need answer fast
Answer:
1.5*10^7
Step-by-step explanation:
That's same as saying standard form
Answer:
1.5 x 10 to the 7th power
Step-by-step explanation:
There are 7 digits between the decimal point in 15,000,000.0 and the first digit. So it can then be rewritten as 1.5 x 10 to the 7th power
Solve for y -x - 2y=8
Answer:y=4
Step-by-step explanation:
please help me, i don't understand this at all :(
* + 86
* + 106
Can you please help
Answer:x=20
Step-by-step explanation:
Answer:
I think is x=-20
I might have calculated wrong
ben payed $900 for a sofa. The price of the sofa Juana was 2/3 the price ben payed. How much did Juana pay for her sofa?
Answer: $600
Step-by-step explanation:
Find 2/3 of $900.
To do this, we have to get 9 and divide by 3.
9 ÷ 3 = 3
Multiply 3 by 2. You get 6.
Add two zeros.
You will get $600.
describes the end behavior of the graph.
Answer: B) [tex]+\infty[/tex]
=================================================
Explanation:
As x goes to positive infinity, we're moving forever to the right.
If we have a point on the curve, then the point will move to the right and it will also move upward forever.
So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]
Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]
The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]
In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.
Simplify the expression:
(1 + 5h)(4)
Answer:
20h + 4
Step-by-step explanation:
It's easy. Just disperse the multiplying by 4 to the others in the first group.
Multiply 1 by 4, and you get 4.
Multiply 5h by 4, and you get 20h.
The answer is 20h + 4.
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What is the slope of the line???
PLEASE HELP!?
Describe or show how to find the following product using both an algorithm and a diagram:
1 1/3 x 2
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Dave bowled a 120his first game. In his second game, he bowled 150. Find the percent of change to the nearest tenth. State whether the change is an increase or decrease
Answer:
The percentage was 25% which was an increase.
Step-by-step explanation:
150 - 120 x 100% = 25%
120
150 - 120 = 25% (30)
Answer:
The percentage was 25% which was an increase.
Step-by-step explanation:
50+ POINTS I NEED HELP
Answer:
21 Yards
Step-by-step explanation:
Hope This Helps
Stay Safe And Happy Holidays
What percentage of births occurred among women between the ages of 38 and 40? Give your answer to one decimal place.
We are to find the percentage of births which occurred among women between the ages of 38 and 40 using the graph.
The percentage of births which occurred among women between the ages of 38 and 40 using the graph is 98.0
From the graph above, each bar represent 2 years.
There are 5 bars each between 20 and 30, 30 and 40 respectively.
The percentage of births occurred among women between the ages of 38 and 40 is 98
To one decimal place
= 98.0
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Which of the equations is graphed below?
A.) Y=X
B.) Y=2X
C.) Y=-2X
D.) Y=-X
Answer:
y = -x
Step-by-step explanation:
it is negative slope so -x