Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
Learn more about the number line visit:
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1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
What is the slope of the line in this graph?
The slope of the line 5/7.
How do i know this?
Well the slope of a line is considered as rise/run.
So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.
Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.
Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.
Your welcome! :D
Plz Help....(MATH)......
Answer:
2 [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
20 lbs distributed throught 7 days is [tex]\frac{20}{7}[/tex] which simplifies to 2 [tex]\frac{6}{7}[/tex]
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?
Answer: Alan's monthly payment would be $973.53.
Answer:
Alan monthly payment is going to be $56
Step-by-step explanation:
Madeline earns $128 for 8 hours of work. If she makes a constant hourly wage, which
table represents the relationship between the number of hours she works and her
total earnings?
A
Time
B
Pay
(hours)
Time
(hours)
Pay
8
$128
8
$128
9
$144
16
$136
10
$160
24
$144
с
D
Time
(hours)
Pay
Time
(hours
Pay
1
$16
1
$16
2
$17
11
$26
3
$18
21
$36
Answer:
Table A.
Step-by-step explanation:
Table A is the only table with a constant hourly change, therefore your answer is Table A.
Brainliest would be apprappreciated. :-)
Please help me with my Geometry.
Step-by-step explanation:
2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :
1. support post (14ft), post to back (b), the long roof line
2. front to post (f), support post (14ft), dotted line
so, because the multiplication factor is the same for the sides, the ratio
"support post" / f
must be the same as
b / "support post"
14 / f = b / 14
b = 14²/f = 196/f
and then we know that
f + b = 53
by putting the first into the second equation we get
f + 196/f = 53
f² + 196 = 53f
f² - 53f + 196 = 0
the solution of such a quadratic equation in general is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = f
a = 1
b = -53
c = 196
f = (53 ± sqrt(53² - 4×1×196))/(2×1) =
= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =
= (53 ± 45)/2
f1 = (53 + 45)/2 = 98/2 = 49
f2 = (53 - 45)/2 = 8/2 = 4
as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.
therefore, the support post is positioned 4ft from the front of the house.
Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.
Answer:
-13
Step-by-step explanation:
negative 13 = -13
Cole had 20 dollars to spend on 3 gifts. He spent 11 9 /10 dollars on gift A and 5 3 /5 dollars on gift B. How much money did he have left for gift C?
Answer:
$2.50
Step-by-step explanation:
11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50
20 - 17.50 = 2.50
1 lb = 0.45 kg
How many pounds are in 90.9 kilograms?
Answer:
200.4002 pounds
Step-by-step explanation:
Answer:
The answer is 200.4002
If you have to round to the nearest thousandth then it is 200.400
If you have to round to the nearest hundredth then it is 200.40
If you have to round to the nearest tenth then it is 200.4
The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?
Answer:
27.5
Step-by-step explanation:
Find the slope for (3,1)and (4,3)
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Can someone Please help me on this math problem
Answer:
2
Step-by-step explanation:
each time that x gains 1, y gains 2
2/1=2
The longest side of a triangle is always opposite the:
Answer:
angle with the greatest measure
Step-by-step explanation:
the greater length of the triangle is always opposite from the greater angle. hope this helps :)
Determine the intercepts of the line. Do not round your answers.
Answer:
-14/9, -14
Step-by-step explanation:
y = -9x - 14
For x intercept, replace y with 0 and solve.
0 = -9x - 14
14 = -9x
-14/9 = x
- 1 5/9 = x
For y intercept, replace x with 0 and solve.
y = -9(0) - 14
y = -14
Someone plz help me! I’m begging!! :(
Answer:
Option D
Step-by-step explanation:
Expanding option A equations:
8 + (3 * y) = 8 + 3y
(8 + 3) * y = 11y
∴ not equivalent.
Expanding option B equations:
(7 - 3) * y = 4y
7 - (3 * y) = 7 - 3y
∴ not equivalent.
Expanding option C equations:
(6 ÷ y) + 13 = [tex]\frac{6}{y} + 13[/tex]
13 + (y ÷ 6) = [tex]13 + \frac{y}{6}[/tex]
∴ not equivalent.
Expanding option D equations:
7 + (y * 5) = 7 + 5y
7 + (5 * y) = 7 + 5y
∴ equivalent.
Hope this helps!
phythagorean theorum please help
Answer:
14
Step-by-step explanation:
so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part
Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
The equation `F=\frac{9}{5}C+32` relates temperature measured in degrees Celsius, `C`, to degrees Fahrenheit, `F`. Determine whether there is a proportional relationship between `C` and `F`. Explain or show your reas
Answer:
No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.
Step-by-step explanation:
The formula is
F=(9/5) C+ 32
F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.
In mathematics, a direct proportion has the form
y=mx
where m is a constant.
If the formula had been F=(9/5) C, it would have been a direct proportion.
However, the addition of the + 32 term makes the formula no longer a direct proportion
The volume of a cube is 2744mm3.
What is the length of its side?
I need this solved as c.l.t
6=n-2n
Answer:
n= -6
Step-by-step explanation:
5. PRACTICE E Use Math Tools There were 242 fish in 22 fish
tanks at the pet store. If there were an equal number of fish in
each fish tank, how many fish were in each tank? Draw models
to find the quotient.
Answer:
There is 11 fish in each fish tank
Step-by-step explanation:
242 total fish
divided into 22 fish tanks
242÷22=11
Draw 11 fish in each of the 22 fish tanks
How much money, in dollars, is available on his card after he takes 0
rides?
Answer:
However much he had on his card in the first place.
Step-by-step explanation:
Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.
the length of 2x metres and it's width is 2 metres shorter than its length. what is the area of the rectangle
Answer:
4x^2-4x
Step-by-step explanation:
2x*(2x-2)
(2x)(2x)+(2x)(−2)
[tex]4x^2-4x[/tex]
Hope this helped! :)
May I please receive help?
First, we know that a² + b² = c². We will just be using this in a different way! b² = c² - a²
b² = 32² - 28²
b² = 1024 - 784
b² = 240
b = 15.49
Hope this helps!
Determine the measure of the angles.
Answer:
E=118
K=50
Step-by-step explanation:
I=E
E=118
K=360-118-118-74 (sum of angles in quad)
K=50
Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)
I'm pretty sure the answer is y=x+5
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
If you want to learn more about expected value, you can read:
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Answer:
-1/6
Step-by-step explanation: