The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2 miles is greater than 17.6 miles"
In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.
So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"
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Michael is packing books into boxes. Each box can hold either 15 small books or
8 large books. He needs to pack at least 35 boxes and at least 350 books. Write
and graph a system of linear inequalities to represent the situation
Let x equal the number of tiny book boxes and y equal the number of large book boxes.
Because John must pack at least 35 boxes:
(number of tiny book boxes) + (number of large book boxes) = (at least) 35
x + y ≥ 35
Since John needs to pack at least 350 books:
(number of small books packed) + (number of large books packed) (is at least) 350
(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350
15x + 8y ≥ 350
Your system of inequalities is:
x + y ≥ 35
15x + 8y ≥ 350
GO INTO DESMOS TO GRAPH
Find the unit rate.
289 miles on 10 gallons
The unit rate is( )miles per gallon
Answer:
28.9 mpg
Step-by-step explanation:
Divide the miles by the gallons. 289 / 10 = 28.9
Convert 112 degrees Fahrenheit to degrees Celsius
Equation
C = (F - 32) ÷ 1.8
Solution
C = (112 - 32) ÷ 1.8
=44.4 (44.4444444444)
Answer may vary depending on how your teacher wants you to do it and whether they want a exact answer.
Angel plans to get his new product into Walmart. If he plans to sell 10,000 units to Walmart at $45 each, but Walmart negotiates a 20% discount, how much revenue has Angel lost compared to his original plan?
Answer:
90,000
Step-by-step explanation:
First you want to know how much money Angel plans to earn so you multiply 10,000 * 45 and that is 450,000. Then you find the 20% discount that Walmart negotiated so you turn 20% into a decimal. 20% as a decimal is 0.20 or 0.2. You then multiply 0.2 * 450,000 to get 90,000 which is the amount Walmart is discounting off. And if you need to find how much Angel is getting after the discount, subtract 90,000 from 450,000! :D I hope this helps!!
PLZ HELP
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles?
Answer:
39
Step-by-step explanation:
There is a possibility that this triangle is isosceles. Angles in triangles add up to 180. 102-180=78. Since we are assuming this triangle is isosceles, we can just divide 78 by 2 and get 39 which might be the other two angles. They might both be 39 degrees.
Since triangle angles must add up to 180 degrees, the other angles must add up to 78 degrees. One possible pair could be if you divided 78 in half, which is 39. There could also be tons of more I can provide a list of below:
39,39
40,38
35,43
1. Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)2. Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)please help with atleast one problem i need help asap
Answer:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = 4x + 9
Step-by-step explanation:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = mx + b
if slope is 1, m= 1
y = x + b
if passing through (0,-1), then y = -1, x = 0
-1 = (0) + b
b = -1
then
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = mx + b
if slope is 4, m= 4
y = 4x + b
if passing through (0,-1), then y = 1, x = -2
1 = 4(-2) + b
b = 9
then
y = 4x + 9
please help with this
Answer:
v = 32
Step-by step explanation:
Step-1: Subtract 15 both sides
⇒ v/4 + 15 = 23
⇒ v/4 + 15 - 15 = 23 - 15
⇒ v/4 = 8
Step-2: Use cross multiplication
⇒ v/4 = 8
⇒ v = 8 × 4 = 32
I need help on this, thank you in advance
Answer:
65
50
Step-by-step explanation:
yeah-ya........ right?
A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount
Answer:
i believe its 58%
Step-by-step explanation:
26 30 45 43 26 14 28 33 56 29 what is the medain of this data set
Answer:
26isthemedian
Step-by-step explanation:
The probability of event A is 0.53 and the probability of event B is 0.17. The probability of A and B occurring is 0.901. Which statement accurately describes these two events?
Explanation:
We're given that
P(A) = 0.53P(B) = 0.17P(A and B) = 0.901Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.
PLZZ HELP
Order these numbers from least to greatest.
A large tank was filled with water at a constant rate. The time and amount were recorded in the table.
Complete the table below to show how many gallons of water are in the tank after 335 and 405 minutes?
Time (minutes) 5 110 215 260 335 405
Amount (gallons) 1 22 43 52
Answer:
67 gallons at 335 minutes
81 gallons at 405 minutes
Step-by-step explanation:
I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.
In the form of y=mx+b,
this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x
y is the volume in gallons and x is the time in minutes. The slope, (1/5), is the rate of filling the tank, in gallons/minute.
The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:
At 335 minutes, y = (1/5)(335), or 67 gallons
At 405 minutes, y = (1/5)(405) = 81 gallons
the sum of six and two times a number is one
Answer:
Equation: 6+2x=1
Step-by-step explanation:
Sum means addition and just add an x for the 2 times a number and set it equal to 1.
Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi
Answer:
use cosine law
x^2 = 543^2 + 543^2 - 2(543)(543cos 128°
solve for x
Step-by-step explanation:
In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.
Answer:
altitude = 15 cm
Step-by-step explanation:
you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'
a² + 8² = 17²
a² + 64 = 289
a² = 225
a = [tex]\sqrt{225}[/tex]
a = 15
3. A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy.
What is the mass of the rock?
Answer:
For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.
Step-by-step explanation:
solve 7e^(2x)-5>58. Round to the nearest hundredth.
Answer:
[tex]x\gtrapprox1.1[/tex]
Step-by-step explanation:
[tex]7e^{2x}-5>58[/tex]
[tex]7e^{2x}>63[/tex]
[tex]e^{2x}>9[/tex]
[tex]2x>ln(9)[/tex]
[tex]x>\frac{ln(9)}{2}[/tex]
[tex]x\gtrapprox1.1[/tex]
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3
2x+3=3+2x
Someone help pls
Answer:
Step-by-step explanation:
There is no answer I looked it up and it said 0=0
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
last option
Step-by-step explanation:
b) 1/6 = 16.7 to 1dp
c) 45% = 45/100 = 9/20
d) 7/9 = 77.8% to 1dp
Simplify (45)-(+14). Pls guys explain it to me
Answer:
Answer: 31
Step-by-step explanation:
[tex]{ \rm{45 - ( {}^{ + } 14)}} \\ \\ = { \rm{45 - 14}} \\ \\ = { \rm{31}}[/tex]
Answer:
31
Step-by-step explanation:
(45)-(+14)
This is asking us to take 45 [(45)] and subtract 14 [-(+14)]
That is 45 - 14 = 31
The expression "-(+14)" is a deliberate attempt to confuse. It says "subtract a positive 14." There was no need to add the "+" sign in the parentheses, since a positive value is always assumed. But it was added here to promote heartburn and the sale of TUMS. When I see something like "-(+10000)," I immediately change it to "-10000" and move on, adding one demerit to the author of the problem.
At a local college there are five women enrolled for every two men. (A) If there are 5,000 men enrolled how many women are enrolled? (B) What is the constant of proportionally in this situation?
Answer:
A: 25,000 Woman Enrolled. B: For Every 5 woman Enrolled 2 men are Enrolled also so the constant rate is 5 x 2
Step-by-step explanation:
Can someone please take the time out of They’re day and help me with this
Answer:
a. 3x = 2x + 10, b. x = 10, c. 30 degrees
Step-by-step explanation:
Angle 4 and angle 6 = 180 degrees, so
3x = 2x + 10
x = 10
Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is
(a)
3x + 2x + 20 = 180 , simplifying
(b)
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
(c)
∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then
∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°
Alan had x dollars in his bank account. He deposited $255.73, and now his balance is $1,896. What was his previous balance?
write 2³ in simplified form
Answer:
8
Step-by-step explanation:
2^1 = 2×1 = 2
2^2= 2×2= 4
2^3= 2×2×2= 8
Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4
7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor
[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]selling \: price \: of \: pen = 180 \: rs \\ profit = 30 \: rs \\ cost \: price = selling \: price - profit \\ = > 180 - 30 \\ = > 150 \: rs[/tex]———————————required profit = 26%so ,
[tex]new \: selling \: price = 150 + \frac{26}{100} \times 150 \\ = > 150 + 39 \\ = > 189 \: rs[/tex]
———————————thuѕ, thє nєw ѕєllíng prícє σf pєn ѕєt wíll вє rѕ. 189hσpє hєlpful~
Based on the information given the selling price of the pen set is $189.
Using this formula
Selling price=Selling price of pen+(Profit percentage× Selling price of pen)
Let plug in the formula
Selling Price=$150 +( 26% ×$150)
Selling Price=$150 +$39
Selling Price=$189
Inconclusion the selling price of the pen set is $189.
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What is the degree of 3x^4-4x^2?
Answer:
the degree is 4
Step-by-step explanation:
the largest exponent of x
Explain how to use the distributive property to find an expression that is equivalent to 20+16.
Answer:
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).