Answer:
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10. ➡️
➡️
Step-by-step explanation:
solve the inequality for x:
1,558 + 60x ≥ 2,158
60x ≥ 600
x ≥ 10
On the number line, mark the endpoint at 10 with a closed circle.
Next, draw a ray to the right of 10. ➡️
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
solve the inequality for x:
1,558 + 60x ≥ 2,158
60x ≥ 600
x ≥ 10
To learn more on inequality click:
brainly.com/question/24853349
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Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
Answer:
What is the least number of plates and cups she can buy?
The least number of cups of plates and cups she can buy is 24
How many packs of plates?
3 packs of plates
How many packs of cups?
2 packs of cups
Step-by-step explanation:
What is the least number of plates and cups she can buy?
We solve this using the Lowest Common Multiple method
The L.C.M of 8 and 12
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 12: 12, 24, 36, 48
Therefore,
LCM(8, 12) = 24
Hence, the least number of cups and plates she can buy is 24
How many packs of plates?
Plates are sold in packs of eight
Hence: 24 ÷ 8 = 3 packs of plates
How many packs of cups?
Cups are sold in packs of 12
Hence: 24 ÷ 12 = 2 packs of cups
A student solved the equation below using the steps shown, rounding to two decimal places if necessary.
which step contains the first mistake ?
A. step 2
B. step 1
C. step 3
D. step 4
Answer:
Step 1
Step-by-step explanation:
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.07? Please do not round your answer.
Answer:
15.87%
Step-by-step explanation:
Given that :
Mean (m) = 2.51
Standard deviation (σ) = 0.44
Percentage of students with grade point average no more than 2.07
Using the relation :
Zscore = (X - mean) / standard deviation
X = 2.07
Zscore = (2.07 - 2.51) / 0.44
Zscore = - 0.44 / 0.44
Zscore =. - 1
P(Z < - 1) : using the z table
P(Z < 1) = 0.1587
Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%
What is 4 divided by 3/5
Answer:
20/3 or 6 2/3
Step-by-step explanation: 4/1 times 5/3 multiply and you get 20/3
Answer:
6 2/3
Step-by-step explanation:
A ball is thrown strait up from the top of a 64 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be modeled by the function h(t)=-16t^2+48t+64. At what other time will the ball be at a height of 64 feet? How long will it take for f ball to reach its maximum height? What is he maximum height reached by the ball? How long willlit take for the ball to hit the ground?
Answer:
see below
Step-by-step explanation:
h(t)=-16t^2+48t+64
Find when h(t) = 64
64 = -16t^2+48t+64
Subtract 64 from each side
0 = -16t^2+48t
Factor
0 = -16t( t-3)
Using the zero product property
-16t =0 t-3 =0
t=0 and t=3
Other than at t=0, so at t=3 seconds
How long will it take for f ball to reach its maximum height?
Find the vertex
t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds
It will reach the maximum height at 1.5 seconds
What is the maximum height reached by the ball?
The height will be
h(1.5) = -16*(1.5)^2+48(1.5)+64
= -36+72+64
= 100
The maximum height is 100 ft
How long will it take for the ball to hit the ground?
h(t) =0
0=-16t^2+48t+64
Factor
0 = -16( t^2 - 3t -4)
0=- 16( t-4) (t+1)
Using the zero product property
t-4=0 t+1=0
t =4 t = -1
Since time cannot be negative
t=4 seconds
Which describes the graph of y=(x-5)^2 -4
Answer:
Use semi-log paper for plotting Y = log y instead of y against x.
The graph is the straight line Y = (log 2) x + log 5.
Explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.
Step-by-step explanation:
y is function of the form
b
a
x
.
Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.
Here, taking logarithms,
Y = log y = log 5 + x log 2.= m x + c.
Slope
d
Y
d
x
is log 2 and Y-intercept is 5 on the log scale.
Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y
Answer:
Opens up with a vertex at (5,-4)
Step-by-step explanation:
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 5, and 6.
A. 10
B. 30
C. 45
D. 60
2/5 x 1 2/3
i know its easy
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?
Answer:
(3,2)
Step-by-step explanation:
I hope this helps : )
11037
have fun figuring out what i mean
Answer:
????????????????????
Answer:
I think 11037 is a clue to tell what the murder is
Step-by-step explanation:
Which line is perpendicular to a line that has a slope of One-half?
line AB
line CD
line FG
line HJ
Answer:
D
Step-by-step explanation:
Answer:
HJ
Step-by-step explanation:
A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?
2x + 6
x2 + 9
6x + 9
x2 + 6x + 9
here's the answer hope this helps :)
Answer:
D. x2 + 6x + 9
Step-by-step explanation:
For anyone who didn't understand the above answer^^
-1/3(x-15)=-4 what is the correct sequence of operations
Answer:
x = 3
Step-by-step explanation:
The steps I show will be listed from first-to-last.
-1/3x + 5 = -4 (Distribute)
-1/3x = -9 (Subtract 5 from both sides)
x = 3 (Multiply both sides by -3)
Determine if √4 is rational or irrational and give a reason for your answer.
Answer:
rational
Step-by-step explanation:
Because if you take the square root of 4 you get 2
if it was irrational then it would be a decimal or fraction
(plz mark braillist)
Need helps with 45 , picture above
Answer:
Ok:
Step-by-step explanation:
We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges, he would make $50. Thus C is the answer
The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap
Sum of 8th & 4th terms of an AP = 24
Sum of 6th & 10th terms = 44
Find:A.P.
Solution:We know that,
nth term of an AP = a + (n - 1)d
Hence,
⟹ a + (8 - 1)d + a + (4 - 1)d = 24
⟹ a + 7d + a + 3d = 24
⟹ 2a + 10d = 24 -- equation (1)
Similarly,
⟹ a + 5d + a + 9d = 44
⟹ 2a + 14d = 44 -- equation (2)
Subtract equation (1) from (2).
⟹ 2a + 14d - (2a + 10d) = 44 - 24
⟹ 2a + 14d - 2a - 10d = 20
⟹ 4d = 20
⟹ d = 20/4
⟹ d = 5
Substitute the value of d in equation (1).
⟹ 2a + 10(5) = 24
⟹ 2a = 24 - 50
⟹ 2a = 24 - 50
⟹ 2a = - 26
⟹ a = - 26/2
⟹ a = - 13
We know,
General form of an AP is a , a + d , a + 2d...
Hence,
⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...
⟹ required AP = - 13 , - 8 , - 3....
I hope it will help you.
Regards.
NEED HELP ASAP, MARKING BRAINLIEST.
Solve for the value of x that makes lines r and s parallel.
Answer:
Step-by-step explanation:
y + 140 = 180 {linear pair}
y = 180 - 140
y = 40
If any pair of exterior angles are congruent , then the lines r and s will be parallel
5x - 5 = 40
5x = 40 + 5
5x = 45
x = 45/5
x = 9
The value of x = 9 will make lines r and s parallel.
Wish someone can do this for me.
Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
[tex]\Large{\boxed{\red{\bf \blue{\dag} v\leqslant -12 \:\:or\:\:v\geqslant 16}}}[/tex]
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Find the slope of the line that passes through the points (5,10) and (7,12).
Answer:
The slope of the line is 1. The equation of the line is 1x + 5.
Step-by-step explanation:
The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.
Can someone help me on these questions for geometry sorry if the quality is bad.
Order the events from least likely (on top) to most likely (on bottom).
Answer:
so, look at the percentage, since -20 is lower, it is least likely, next is 10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100
Step-by-step explanation:
Answer:Greatest to least.
4/5
30%
10%
-20
Step-by-step explanation:
Does the graph show a proportional
relationship? If so, use the graph to find
the constant of proportionality.
Answer:
yes. y-=25x
Step-by-step explanation:
Answer:
its 40
Step-by-step explanation:
Katie wants to buy a bracelet. She only has $30 to spend. She has found a bracelet with a regular price of $45 and a discount of 35%. If the sales tax is 7%, will she have enough to buy the bracelet? If so, how much money will Katie have left? If not, how much more money will she need?
Given :
Money Katie has, M = $30.
She has found a bracelet with a regular price of $45 and a discount of 35%.
The sales tax is 7%.
To Find :
Will she have enough to buy the bracelet.
Solution :
Original price = $45 .
Price after discount = $( 45 - 45×0.35) = $29.25 .
Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .
Since, selling price is greater than $30.
Money needed = $( 31.2975 - 30 ) = $1.2975 .
Therefore, Katie will not buy the bracelet.
What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.
Answer:
c. A line of credit with a fixed total amount.
Step-by-step explanation:
EDGE 2020
Answer:
C. A line of credit with a fixed total amount.
Step-by-step explanation:
what is faster drive a car that goes 40 k per hour
or
a car that goes 15 meters per second
Answer:
40k per hour is faster
mark me as branliest plz
I dont understand this, plz help, will mark Branliest!
Solve for x: −3|x + 7| = −12 (2 points)
x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11
help please show steps please I don't know what to do so I want to learn not just get the answer
wich of the following is a factor of x^4-8x^2+16
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation:
Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answer:
the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.