Expressions can be expressed as equations or as inequalities.
The difference is that the variables in a system of equation have one solution each, while in a system of inequalities, the variables have a range of values.
Let the system of equation be:
[tex]\mathbf{ax + by = c}[/tex]
[tex]\mathbf{dx + ey = f}[/tex]
Let the system of inequality be:
[tex]\mathbf{ax + by < c}[/tex]
[tex]\mathbf{dx + ey > f}[/tex]
Both systems can be solved using the same method, such as: graphs, substitution and elimination.
However, the difference is that:
In a system of equation, the variables can have one solution each, while in a system of inequalities, the variables have a range of values.
Read more about system of equations and inequalities at:
https://brainly.com/question/11476486
Joanna is driving 185 miles to visit her family. She drives 68 miles in the morning, stops for lunch, and then drives the rest of the distance. How many miles did she drive after lunch?
Use the variable m to represent the number of miles she drove after lunch.
Which equation represents this situation and its solution?
m + 68 = 185; m = 117
68m = 185; m = 17
m + 185 = 68; m = 117
185m = 68; m = 17
Answer:
The equation represents this situation and its solution are m + 68 = 185; m = 117 ⇒ A
Step-by-step explanation:
Let us solve the question
∵ Joanna is driving 185 miles to visit her family
∴ The total distance she is driving = 185 miles
∵ She drives 68 miles in the morning
∴ d[tex]_{M}[/tex] = 68 miles
∵ She stops for lunch and then drives the rest of the distance
∵ m represents the number of miles she drove after lunch
∴ d[tex]_{L}[/tex] = m miles
∵ d[tex]_{L}[/tex] + d[tex]_{M}[/tex] = the total distance she is driving
∴ m + 68 = the total distance she is driving
∵ The total distance she is driving = 185 miles
∴ m + 68 = 185
∴ The equation represents this situation is m + 68 = 185
→ To solve the equation subtract 68 from both sides
∵ 68 - 68 + m = 185 - 68
∴ m = 117 miles
∴ The solution is m = 117
4. A man bought a clock for $6 000 and sold it to make a profit of 15%. What was his
selling price?
Answer:
Step-by-step explanation:
he sold it for 900 dollars
hope it helps
Answer:
900
Step-by-step explanation:
If he got 15% of the profit so you would have to divide 15 divided by 2000 and your answer would be 900
list the integers that satisfy both these inequalities, 2x+9 -12
Answer:
x < -10.5
Step-by-step explanation:
list the integers that satisfy both these inequalities, 2x+9 <-12
Subtract 9 from both sides;
2x +9 - 9 < -12-9
2x < -21
x < -21/2
x < -10.5
Hence all the integers are values of x less than 10.5
How do you write the fraction 5/8 as a decimal ?
Answer:
0.625
Step-by-step explanation:
Answer:
0.625
Step-by-step explanation:
What number should go in the space?
Multiplying by 1.15 is the same as increasing by _____%.
Answer:
115%
Because to get a percent from a decimal you multiply by 100 so you move the decimal twice to the right
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 12 ft?
Answer:
24 pi
Step-by-step explanation:
you basically need to work out the circumeference
circumference=pi times diameter
if the radius is 12, the diameter is 24
so it would be 24 pi
pls mark as brainliest!!!<3
What are the missing numbers in the sequence?
Answer:
-37, -30, -23, -16, -9, -2
Step-by-step explanation:
The rule is subtracting -7 each time
Hope I was able to help! :)
Is this "N2 + 3H2 → 2NH3" balanced or no?
help me plz its algebra 1
Answer:
C. x > -7 and x <= 3
Step-by-step explanation:
-3 < x + 4 <= 7
Subtract 4 from the three expressions.
-7 < x <= 3
-7 < x means x > -7.
Then you have x <= 3.
Answer: C. x > -7 and x <= 3
A square has an area of 72 square inches. What is the side length?
Answer:
8.5
Step-by-step explanation:
:)
What is 5y-15x-20=0 in y=Mx+b form
Answer:
y=3x+4
Step-by-step explanation:
First, you want to get the 'y' by itself.
5y=15x+20
Now, you want to divide everything by 5.
y=3x+4
5
Select the correct answer
Which system of equations is represented by this graph?
Can SOMONE help ASAP I don’t understand the diameter of a circle plz show me how y’all got the awswer plz!!!! It’s the top one
Answer:
Step-by-step explanation:
the top one... which is I am assuming asking for the diameter?
Formula = d=2r
so 2x4 which is 8
But if you were wanting number 6
the formula is A=πr2
which would be 3.14 x 1^1 = 3.14
you take the diameter and square it and then multiply it by pi
1. Find the Surface Area
10 km
3 km
8 km
6 km
It’s a 3D object
Answer:
120 km²
Step-by-step explanation:
make it braintliest please
can you. pls. solve for X?
Answer:
x = 173
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
90+30=120
180-120=60
x+67=60
x=-7
solve for n -4.2n-1.7=2.08
Answer:
n= -0.9
Step-by-step explanation:
-4.2n-1.7=2.08 ( move the constant to the right)
-4.2n = 2.08 + 1.7( calculate)
n = -0.9
Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left
Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or division. Use no signs except the signs using those operations. Here is an example
You must use digits 1 - 9 and only ONCE
3 + 4 = 7
9 - 8 = 1
30 / 6 = 5
The above example is not correct, because it does not contain 2, and three is repeated.
Answer:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
Step-by-step explanation:
Given: The basic arithmetic operations: addition, subtraction, multiplication or division.
Digits from 1 - 9
Using three arithmetic operations - addition, subtraction, multiplication, and the given digits, the following three expressions can be formed:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
It can be observed that there is no repetition of digits in the above expressions as required.
The graph shows the amount of money Miguel earns after working x hours.
What is the rate of change of the amount earned with respect to hours worked for this function?
hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
What is the slope of the line?
−3
3
Answer:
13 dollars
and slope is 3
Step-by-step explanation:
(5) Find the value of the variable. The diagram is not to scale.
Answer:
x = 19 degrees
Step-by-step explanation:
180 - 114 = 66
180 - 66 = 114
Other triangle angle is 114 degrees
114 + 47 = 161
180 - 161 = 19
x = 19 degrees
Please help me thanks please
Answer:
um all you do is multiply 21 as the length by 14 was the width (LxW)
Step-by-step explanation:
=294 is your answer I think ...
By what percent did
the Howard family's
water bill decrease from
June to July? June $110.00, July $50.00
Can somebody help me. Will mark brainliest
Answer:
the first two reason are given then the last one is cpctc
x/-3 is less than -10
solve the inequality
Answer:
-7 or just 7
Step-by-step explanation:
directions "rewrite the standard form equations into slope intercept form" 2x+6y=-24
Answer:
-2x-24/6
pass the x susbtrating divided it by 6
The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
→
-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4
Answer:
answer would be:
The range of the graph is all real number.
AND
The domain and range of the graph are the same.
Step-by-step explanation:
A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?
Answer:
Ok me la p3l4swkekbdjwkkagdy2hk
PLEASE HELP ASAP!!
Which is the best approximation for the value of 102?
Answers:
A.) 10
B.) 11
C.) 50
D.) 51
Answer:
D
Step-by-step explanation:
Wwhich expression uses the associative property to make it easier to evaluate 8(1/2x1/3)?
A.8/3(2x33)
B.(8x1/2)1/3.
C.8(1/3x1/2)
D.(8x1/3)1/2
The correct answer would be B. (8×1/2)1/3.
Step-by-step explanation:
8 * [(1/2) * (1/3)]
= [8 * (1/2)] * (1/3)
= 4 * (1/3)
= 4/3.
The answer is B because it is easier to calculate 8 * (1/2), which is dividing 8 by 2 to get 4.
What is the decimal multiplier to decrease by 0.6%?
Step-by-step explanation:
0.6/100= 0.006 should be multiplied to decrease by 0.6%