We start off with 50 as our room temperature.
Then we subtract off 4h to indicate the temperature drops 4 degrees per hour
You can think of it like this
1 hour = drop by 4 degrees
h hours = drop by 4h degrees (multiply both sides by h)
So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after
Solving for h leads to
50-4h < 32
-4h < 32-50 ... subtract 50 from both sides
-4h < -18
h > -18/(-4) ... divide both sides by -4; note the inequality sign flips
h > 4.5
If you go beyond 4.5 hours, then the temperature will be below 32 degrees
notes:
4.5 hours = 4 hours, 30 minutes = 270 minutesthe inequality sign flips whenever you divide both sides by a negative numberAfter 1 hour 46
After 2 hour 42
After 3 hour38
After 4 hour 34
After 4 (1/2) hour 32
what is the distance between (-8,5) and (4,9)
Answer:
Use the distance formula to determine the distance between two points.
Exact Form:
4 √ 10
The distance between points (-8, 5) and (4, 9) is 4√10.
What is a coordinate plane ?A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.
The given points are,
P(-8, 5) and Q(4, 9)
To find the distance between points P(-8, 5) and Q(4, 9),
Use formula,
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance[tex]AB =\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Distance between P(-8, 5) and Q(4, 9),
[tex]PQ = \sqrt{(4+8)^2 + (9-5)^2}\\\\PQ = \sqrt{12^2+4^2}\\\\ PQ = \sqrt{144 + 16}\\\\PQ = \sqrt 160\\\\PQ = 4\sqrt10\\[/tex]
The distance between points P(-8, 5) and Q(4, 9) is 4√10.
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Help...!!!!!!!!!!!
Please...!!!!!!
Answer:
8[tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] + 5x -3
Step-by-step explanation:
DA = 0.0
Trapezoid ABCD is congruent to trapezoid EFGH, and the side lengths of ABCD are given. Find GH.
A. 9.0
B. 14.0
C. 20.0
D. cannot be determined
Answer:
The answer is D - cannot be determined
Step-by-step explanation:
Answer:
B. 14.0
Step-by-step explanation:
just took the test
state and prove exterior angle property of triangle
Answer:
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of its interior opposite angles.If any side of a triangle is extended, then the exterior angle so formed is the sum of the two opposite interior angles of the triangle. In the given figure, the side BC of angle ABC is extended.
Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches
Answer:
[tex]y = \frac{x}{36}[/tex]
Step-by-step explanation:
Given
Length of string = x inches
Required
Determine the length in yards
Represent the equivalent length with y
Such that
[tex]y = x\ inches[/tex]
Divide x by 36 to get equivalent in yards
[tex]y = \frac{1}{36} * x[/tex]
[tex]y = \frac{x}{36}[/tex]
Hence, the equivalent in yards is [tex]\frac{x}{36}[/tex]
The expression should be [tex]x \div 36[/tex]
The calculation is as follows;Here we need to divide x by 36 so that the equivalent in yards could come
[tex]=\frac{1}{36} \times x\\\\ = \frac{x}{36} [/tex]
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Which angles are linear pairs? Check all that apply.
Answer: A & C & D
Step-by-step explanation:
The Angles which are in linear pairs are,
∠SRT and ∠TRV,
∠VRW and ∠WRS,
∠VRU and ∠URS.
What are linear angles?When two lines meet at a single point, they form a linear pair of angles. After the intersection of the two lines, the angles are said to be linear if they are adjacent to one another. A linear pair's angles always add up to 180 degrees. Additional angles are another name for these angles. The angles with a common vertex are called the adjacent angles.
Given the figure and finding linear pair of angles,
The property of linear pair of angles says that the sum of two angles is 180⁰.
A: ∠SRT + ∠TRV = 180⁰
pair is linear
B: ∠SRT + ∠TRU > 180⁰
pair is nonlinear
C: ∠VRW + ∠WRS = 180⁰
pair is linear
D: ∠VRW + ∠URS = 180⁰
par is linear
E: ∠URW + ∠WRS < 180⁰
pair is nonlinear
Hence the linear pairs are (∠SRT and ∠TRV), (∠VRW and ∠WRS), and (∠VRW and ∠URS).
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An Internet service provider offers a plan that allows a subscriber to download 2 GB or less of content per month. Define a variable for the amount downloaded. Identify the inequality and the graph that represents the content that can be downloaded.
Answer: Choice C
[tex]0 \le d \le 2[/tex]
Graph with filled in circles at d = 0 and d = 2, shading in between
==========================================
Explanation:
d = amount downloaded in gigabytes
The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.
The largest amount allowed is d = 2. This is the cap that the ISP has set up.
So basically d can be anything between d = 0 and d = 2, including both endpoints. This means [tex]0 \le d \le 2[/tex]
We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.
WILL GIVE BRAINLIEST: Show that ABCD is a rhombus if A(0, –2), B(10, 3), C(21, 5), and D(11, 0). Find the slope m1 of AC and the slope m2 of BD and verify that m1m2 = –1.
Answer:
Answers in the pics
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Please help asap!! Thank you
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
60° + 2x° + (2x+12)° = 180° { being a linear pair}.
or, 72° + 4x = 180°
4x = 180° - 70°
[tex]x = \frac{108}{4} [/tex]
Therefore, the value of x is 27°.
Now,
2x° = (2×27)°= 54°
(2x+12)° = 2×27°+12°= 66°.
(x+2)= 27+ 2= 29°
Now, The left angle is 27°.
Therefore, The answer is option A.
Hope it helps...
7 less than twice a number
Answer:
2x-7
Step-by-step explanation:
Answer:
2x-7
Step-by-step explanation:
what is the distance between the points (4,-2) and ( -1, 10)
Answer:
The answer is 13 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (4,-2) and ( -1, 10)
The distance between them is
[tex]d = \sqrt{ ({4 + 1})^{2} + ({ - 2 - 10})^{2} } \\ = \sqrt{ {5}^{2} + ({ - 12})^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} [/tex]
We have the final answer as
d = 13 unitsHope this helps you
Round 1.43 to the nearest whole number.
Answer:
the answer is 1
Step-by-step explanation:
Which of the following correctly uses exponents to write "6 factors of 2"? 2 6 6 ∙ 2 12 6 2
Answer:
C (6*2)
Step-by-step explanation:
Answer:
6 times 2
Step-by-step explanation:
Im not completely confident though so check other answers
How do you answer this:
8-x=3
Answer:
X=8-3
X=5
Step-by-step explanation:
X is equal to 5
8-3
The symbol change always when we move digit from the equalent sign
Solve 4x- c = k for x.
A. x = k-c/4
B. x = 4(k-c)
C. x- k+c/4
D. x = 4 (k+c)
Answer:
A
Step-by-step explanation:
You would first add c to the side that k is on and then divide k+c by 4 because it is 4x which means they are being multiplied together so you have to divide to get them apart.
Answer:
C. x= k+c/4Step-by-step explanation:
[tex]4x- c = k[/tex]
Move -c to the right side and change its sign
[tex]4x = k+c\\[/tex]
Divide both sides of the equation by 4
[tex]\frac{4x }{4} = \frac{k+c}{4}\\ \\x = \frac{k+c }{4}[/tex]
apply properties of operatione to write an equivalent expression
Answer:
4t
Step-by-step explanation:
All we are doing is combining like terms and since all of then have a "t" in it we would just add the 4 "t's" together like normal addition.
Identify the factors of the terms of the expressions.
3. 5+6a+11b
4. 13m-2n
Answer:
factors are 5, 6, a, 11, b
Step-by-step explanation:
3) 5 + 6a + 11b
Algebraic expressions: 5 + 6a + 11b
Are combinations of numbers, variables, and at least one arithmetic.
Term are: 5, 6a, 11b
Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).
Factors are: 5, 6, a, 11, b
Something which is multiplied by something else. A factor can be a variable, number, a term, or a longer expression.
Coefficient: 6, 11
The numerical factor of a multiplication expression that contains a variable.
Constant: 5
A number that cannot change its value.
4). 13m-2n (note: it applies as above)
Given x=-3, y=6, and z=-4 -15+(-x)+y= Thank you for your help!
Solution:
Given, x=-3, y=6, and z=4
Putting these values in the given equation:
-15+(-x)+y
= -15+(-(-3)+6
= -15+3+6
= -15+9
= -6
Erika read 90 pages in 2 and half hours. At the same time, how many hours would it take her to read 225 pages?
Answer:
6.25 hours
Step-by-step explanation:
pages per hour
pages/hour
90/2.5 = 36
36 pages per hour
225 / 36 = 6.25 hours
Answer:
6.25 hours
Step-by-step explanation:
2 and half hours = 2.5 hours
Proportions:
90 pages ⇔ 2.5 hours
225 pages ⇔ E hours
E = 225*2.5/90
E = 6.25 hours
6.25 hours = 6 and 1 quarter hours
What is the next term in the sequence?
2.5= 10
22.5= 110
222.5 = 1,110
2,222-5= 11,110
Answer:
1,11,110
Step-by-step explanation:
What is 10x + 32y if y = 3, and x = 9.
Answer:
186
Step-by-step explanation:
10×9+32×3
90+96
=186
HOPE THIS HELP YOU
Answer: Hi!
First we will substitute the variables and then solve the equation.
The equation will look like this after we substitute:
10(9) + 32(3)
We will multiply:
(90) + (96)
We will add:
186
This equation is equal to 186.
Hope this helps!
help fast i need this
Answer:
74
Step-by-step explanation:
answer: 74
explanation: hope it helped
PLEASE HELP ME For a-d choose yes or no to tell whether the fraction is equivalent to 4.05… A 405/99 B 401/99 C 81/33 D 802/198
B
Because you multiply the denominator by four and see if its close enough than multiply ot by .05
What is an algebraic expression for 32 more than a number n
Answer:
n + 32
Step-by-step explanation:
More than indicates you are adding. 32 more than n is shown by the expression n + 32.
The algebraic expression for 32 more than a number n is 32 + n where n is the real number.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
32 more than a number n
Here n is the real number.
As we know,
The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
The expression can be written mathematically,
32 more than a number n = 32 + n
Thus, the algebraic expression for 32 more than a number n is 32 + n where n is the real number.
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Simplify by combining like terms. Type the terms in alphabetical order. -5q-2+2q-8= really need to get this done so it would mean a lot if I could get some help
Answer:
-3q - 10
Step-by-step explanation:
-5q - 2 + 2q - 8
-5q + 2q - 2 - 8
-3q - 10
Martha is dividing cookies into packages. If she puts 5 cookies in each package, she will make 33 packages with no cookies leftover. If instead, she puts 3 cookies in each package, how many packages can she make?
Answer:
55 packages
Step-by-step explanation:
33×5 = 165
165÷3 = 55
4. If mZDEF = 3x +1 and mZDEG = 5x +19, find the value of x.
Answer:
x=-9
3x+1=5x+19
-1 -1
--------------------
3x=5x+18
-5x -5x
----------
-2x=18
x=-9
What is greater 1 4/6 or 1 14/21
They’re the same.
Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.
So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.
1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.
Answer:
The are the same.
Step-by-step explanation:
Because both begin with a 1, ignore that for now.
You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.
Start with 4/6. They are both even numbers, so 2. 4/2 = 2 and 6/2 = 3
so 4/6 can be reduced to 2/3.
14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!
14/7 = 2 21/7 = 3 so 14/21 can be reduced to 2/3!
You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.
[tex]\frac{4}{6} * \frac{21}{21} = \frac{84}{124}[/tex]
[tex]\frac{14}{21} * \frac{6}{6} = \frac{84}{124}[/tex]
This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.
7.1 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 134 cm3.
The height of the water bottle is 7.1 cm. What is
the radius of the water bottle? Use 3.14 for i.
The radius of the water bottle is about
cm. (Round to the nearest tenth as needed.)
Answer:
Cylinder Volume = PI * radius^2 * height
Radius = Square Root [Volume / (PI * height)]
Radius = Square Root [ 134 / (3.14 * 7.1)]
Radius = 2.45103
Radius = 2.45
Step-by-step explanation:
Which is colder
-20° or -8°?