You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50
per week, but would like to work no more than 10 hours per week.
Which system of inequalities, along with y0 andx
0, would you use to solve the real-world problem?
The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.
Let, you work at grocery story (x), and you work mowing lawns (y)
You want to work no more than 10 hrs
So, first inequality will deal with hrs.
x + y ≤ 10....(i)
A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.
And,
Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...
Now we will make an inequality dealing with the $
5x + 10y ≥ 50.....(ii)
A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.
So, the inequalities are :
x + y ≤ 10
5x + 10y ≥ 50
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The midpoint of AB is M(4.-2). One endpoint is A(-2,6). What is the length of AB ?
5 units
10 units
20 units
28 units
None of these
Answer:
AB = 20 units
Step-by-step explanation:
Given the coordinate midpoint M(4.-2) and A(-2,6), we are to find the length AB. To get that, we need to get the coordinate of B first as shown
M(X, Y) = [(x1+x2/2, y1+y2/2]
X = x1+x2/2
4 = -2+x2/2
8 = -2+x2
x2 = 8+2
x2 = 10
Y = y1+y2/2
-2 = 6+y2/2
-4 = 6+y2
y2 = -4-6
y2 = -10
Hence the coordinate of B is (10, -10)
Recall that A =(-2, 6)
Get AB;
AB = √(x2-x1)²+(y2-y1)²
AB = √(-2-10)²+(6+10)²
AB = √(-12)²+(16)²
AB = √144+256
AB = √400
AB = 20 units
can someone help me (3.1x10⁶)-(4.7x10⁴)
Evaluate the following numerical expression.
6 + 2^3 • 3 =
Answer:
30
Step-by-step explanation:
2^3=8
8x3=24
24+6=30
What is the midpoint of the segment shown below ? A. (1,5) B. (2,5), C ( 1 1/2,5), D. (2 1/2, 5)
The midpoint of the line segment is (2,5) (option B)
How do you find the midpoint of a line segment in a coordinate?When given the end points of a line segment, you can find out its midpoint by using the midpoint formula. As the name might have already suggested, midpoint is basically the halfway between two end points. All you need to do is dividing the sum of x-values and the sum of y-values by 2.
The sum of x coordinate is -1+5 = 4
half of sum of x coordinate = 4/2 = 2
The sum of y coordinate = 5+5= 10
half of sum of y coordinate = 10/2 = 5
therefore the midpoint of the line is ( 2,5)
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A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 30 minutes. What type of tail is this test using?
Answer:
Right tailed test
Step-by-step explanation:
The null hypothesis is:
[tex]H_o: \mu \le 30[/tex]
The alternative hypothesis is:
[tex]H_a: \mu > 30[/tex]
This is a right-tailed test since the alternative hypothesis is greater than 30
Suppose the level of significance is 0.05 and we are given a p-value less than 0.05.
Then, we reject the null hypothesis.
What is (z+5)+(2-4) in simplest form? Explain how you found your answer.
Please help me this makes no sense
Answer:
the 4 one
Step-by-step explanation:
PLZ HELP I BEG I REALLY NEED HELP :)
Answer:
A
Step-by-step explanation:
Consider the enlargement of the triangle.
A small triangle has a base of 1.7 feet and height of 9.3 feet. A larger triangle has a base of 3.5 feet and height of x feet.
Not drawn to scale
Rounded to the nearest tenth, what is the value of x?
15.8 feet
19.1 feet
23.3 feet
32.6 feet
Answer:B 19.1 feet
Step-by-step explanation:
The value of the x is 19.1 feet.
What is ratio?"It is an ordered pair of numbers a and b, written [tex]\frac{a}{b}[/tex] where b does not equal 0."
What is proportion?"When two ratios are equal then they are said to be in proportion."
For given question,
A small triangle has a base of 1.7 feet and height of 9.3 feet.
A larger triangle has a base of 3.5 feet and height of x feet.
Since it is the enlargement of the triangle, the sides of both the triangle must be in proportion.
[tex]\Rightarrow \frac{1.7}{3.5}= \frac{9.3}{x}\\\\\ \Rightarrow 1.7\times x=3.5\times 9.3\\\\ \Rightarrow 1.7\times x=32.55\\\\ \Rightarrow x=19.14[/tex]
Therefore, the value of the x is 19.1 feet.
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uhhh help me , i give brainliest
Answer:
36
Step-by-step explanation:
x² + 12x - 40 = 0
x² + 12x = 40
Now, 12/2 = 6. So add 6² = 36 to each side
x² + 12x + 36 = 40 +36
Simplify: ( 1^0+2^1+3^2) ÷ 22/ 5^0
Step-by-step explanation:
( 1 + 2 + 9 ) ÷ 22/ 1
12 ÷ 22
6 ÷ 11
cc: Anything raised to the power of zero is 1
Answer:
6(1/11)
Step-by-step explanation:
( 1^0+2^1+3^2) ÷ 22/ 5^0
( 1+2+9) ÷ 22/ 5^0
( 1+2+9) ÷ 22/ 1
( 1+2+9) • 1/22
12 • 1/22
6(1/11)
Hope this helps!
Witch value of x makes the equation 24x+16=-2(6x-8) true?
Answer:
X = 0
Step-by-step explanation:
Because if X equaled 0 then both sides would be equaled to 16.
need help on these thank you if you help
LIGHTING Kyle is buying strands of outdoor lights for his luau. The total cost of the strands can be modeled by the function f(c) = 8.97c. He received an email with a coupon code to receive $5 off his online purchase. A. Write a function g(c) that represents the cost of purchasing strands of lights with the $5 discount. B. Find the cost of purchasing 6 strands of lights before and after the discount. How about this one anyone
Answer:
Step-by-step explanation:
A. Function before discount:
f(c)= 8.97c
This means that cost per strand of outdoor light is $8.97 and c is number of strands of outdoor light bought. Therefore to model the function g(c) after he has received a $5 discount on his purchase(total purchase)
g(c)=8.97c-5
B. cost of 6 strands of light before discount
f(c)= 8.97×6= $53.82
cost of 6 strands of light after discount
f(c)=8.97×6-5= $48.82
Please helppp number 11
Answer:
(1/3)⁷
Step-by-step explanation:
negative exponents work like this:
x⁻²=(1/x)²
Apply this theory to this equation:
3⁻⁷=
(1/3)⁷
The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.
Answer:
should be 1.8
Step-by-step explanation:
Answer:
parn
Step-by-step explanation:
Brainliest or report?
A free cable sparkling juice calls for 1 1/2 quarters of sparkling water and 3/4 course with grape juice how many sparkling how much sparkling water would you need to mix with 9 quarts of grape juice
Answer: 18 quarts
Step-by-step explanation:
As per given,
Quantity of sparkling juice is proportional to quantity of course with grape juice.
Given: A free cable sparkling juice calls for [tex]1\dfrac12[/tex] quarters of sparkling water and [tex]\dfrac34[/tex] course with grape juice .
Let x be the quantity of sparkling water need to mix with 9 quarts of grape juice.
then, by equation of direct proportion , we have
[tex]\dfrac{1\dfrac12}{\dfrac34}=\dfrac{x}{9}\\\\\Rightarrow\dfrac{\dfrac{3}{2}}{\dfrac{3}{4}}=\dfrac{x}{9}\\\\\Rightarrow\ \dfrac21=\dfrac{x}{9}\\\\\Rightarrow\ x=9\times2\\\\\Rightarrow\ x=18[/tex]
Hence, the quantity of sparkling water need to mix with 9 quarts of grape juice = 18 quarts
Find the domain of the graphed function
Answer:
A I see the most reaon able answer from other
james decides to walk home today.he lives 3 miles from school and he can walk 45 minutes.at what rate is james traveling in? A) 1 mile/10 mins b) 1 mile/15 mins, C) 1 mile/20 mins D) 1 mile/30 mins
Answer:
b
Step-by-step explanation:
each mile takes him 15 mins
A video game costs $49. It is on sale with a 20% discount. How much money will you save?
Answer:
None you are spending money.(That's true but the answer is actually $9.8)
Step-by-step explanation:
20% of 49 is 9.8 so $9.8
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2, -6)
Answer: _____
Answer:
d = 10Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-4,2)\quad\implies\quad x_1=-4\,,\ y_1=2\\\\(2,-6)\quad\implies\quad x_2=2\,,\ y_2=-6\\\\d=\sqrt{(2+4)^2+(-6-2)^2}= \sqrt{6^2+(-8)^2}= \sqrt{26+64}= \sqrt{100}=10[/tex]
Which equation represents a line that passes through the two points in the
table?
х
у
3
3
6
5
O A. y-3 = (x-3)
O B. y+3 = {(x+3)
OC. y-3--3
)
O D.y+3=E(x+3)
Line equation represents a line that passes through the two points is
x-3=0
Given two points are (3,6) and (3,5)
Let say A=(3,6) and B=(3,5)
Formula for find out line equation using two points.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Slope can be denoted by m.
Slope formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{5-6}{3-3}[/tex]
m=-1/0
Line equation can be rewritten as [tex]y-y_1=m (x-x_1)[/tex]
Submit m in above equation
[tex]y-6=\frac{-1}{0} (x-3)[/tex]
Simplify it.
(y-6)*0=-1(x-3)
x-3=0
Therefore , line equation represents a line that passes through the two points is x-3=0
To know more about , Line equation.
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A convex polyhedron has faces that consist of 5 congruent squares and 4 congruent equilateral triangles. The
polyhedron has 16 edges. How many vertices does it have?
O 5 vertices
O 9 vertices
O 13 vertices
O 14 vertices
Answer:
9
Step-by-step explanation:
trust
Answer:
9
Step-by-step explanation:
bing bong
Looking at the linear equation, y= 4x-2, identify which is your independent variable and which is your dependent variable.
Answer:
option b
Step-by-step explanation: i took this test and got 100
Given the table, what is the linear equation?
x y
1 7
2 10
3 13
4 16
Answer:
yes
Step-by-step explanation:
Which of the following is the factored form of the expression 18 + 12?
6(3 + 2)
thats the answer
Answer:
30 the answer to it question
Which equation is true of x is 3.5
Answer:
B
Step-by-step explanation:
Because 4 times 3.5 equals 14 and minus 3 equals -11 so its B.
Answer:
Your answer is B.
Step-by-step explanation:
The reason is because:
3-4x=-11
turns to
-4x=-14
when you subtract 3 from both sides then divide both sides by negative 4
and you get:
x=-14/-4
if you simplify -14/-4 your final answer will be
7/2 which equals 3.5: x=3.5
what is eqivelent to 6x=42
7.501 in expanded form