Answer:
$12.99n + $14.99s = $60
Step-by-step explanation:
The system of inequalities is n ≥ 1 and s ≥ 1 would represent this situation.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let n represent the number of nail boxes and s represent the number of screw boxes.
Nails will cost $12.99 if the price per box is $12.99.
In a similar vein, if a screw costs $14.99 a box, then s screws will also cost $14.99.
The carpenter can purchase n nails and s screws for a total of $60.
12.99n + 14.99 ≤ 60
Also, Since the carpenter needs to buy both nails and screws, it is necessary to buy at least 1 box of each of the two materials.
Therefore, the system of inequalities is n ≥ 1 and s ≥ 1 would represent this situation.
Learn more about inequalities here:
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18-
3. Your family is planning to take the Amtrak train from Hartford to New York City for a day trip. As a result
of some research you learn that your friend Jackie took the train with a group of 3 adults and 5 children and
it cost them $269.50. A cousin also took the train to the city with a group of 2 adults and 3 children and it
cost them $171.50. Find the price of an adult's ticket and the price of a child's ticket.
Answer: 67.37 for adult 45.91 for child
Step-by-step explanation:
angle A and angle B are supplementary angles. If m angle A = (2x + 26)° and m
angle B = (x + 25)°, then find the measure of angle B.
x=43
Answer:
m angle B = 68°
Step-by-step explanation:
Since they are supplementary, they add up to 180°
(2x+26) + (x+25) = 180
add like terms together
3x+26+25=180
simplify the left side
3x+51=180
subtract 51 from both sides
3x=129
divide both sides by 3
x=43
Then you plug in x into measure B
(43)+25
68
Can the sides of a triangle have lengths 8.6, 6.6, and 3.3?
yes
no
Answer:
Yes
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of the lengths of any 2 sides of a triangle must exceed the length of the third side.
8.6+6.6>3.3 is true
6.6+3.3>8.6 is true
3.3+8.6>6.6 is true
1A roll of ribbon is 1,780 inches long. It takes 1 yard
of ribbon (36 inches) to wrap a gift:
How many gifts can be wrapped?
6 gifts. 6 yards of ribbon.
plz somebody help me asap i need help
Answer:
False, True, Falso True
Step-by-step explanation:
Slope is 3/1 or 3
Line hits (0,-5)
someone please help!! find the value of y in this triangle
Answer:
30
Step-by-step explanation:
Triangle containing 120° and y° is an isosceles triangle.
Therefore,
y° + 120° + y° = 180°
2y° = 180° - 120°
2y° = 60°
y° = 60°/2
y ° = 30°
y = 30
What are the solutions of the equation (x−9)2=64?
Answer:
17,1
Step-by-step explanation:
I just did this question on the benchmark
Please help ...............
3. Use the equation to answer the following question. 3x2 + 7x - 20 = 0 What are the solutions of the equation?
A. X = 5 and x = 4 3
B. X = - 4 and x = 5 3 4
C. X = and x = -5 3 5
D. X = and x = -4 3
In the diagram, AB = AC and ∠DCE = 75°, BCD and ACE are straight lines. ∠BAC =
Again, what is the shape?
Which of the coordinate pairs is a point on the line y = -2/5x + 4?
A.) (2, 3)
B.) (-5, 6)
C.) (6, 2)
D.) (-2/5, 4)
Answer:
B.) (-5, 6)
Step-by-step explanation:
to solve algebraically, test the coordinate pairs in the equation [tex]y = -\frac{2}{5}x + 4[/tex]
to solve graphically, enter the equation [tex]y = -\frac{2}{5}x + 4[/tex] into a graphing calculator and graph the coordinate pairs as well to see which one is on the line.
(2, 3) is NOT a solution.
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
2 is the x-value and 3 is the y-value. coordinate pairs are always written as (x, y).plug in 2 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(2) + 4now plug in 3 for y.
y = -2/5(2) + 4 ⇒ 3 = -2/5(2) + 4your equation is now 3 = -2/5(2) + 4. begin simplifying by multiplying -2/5 and 2.
3 = -2/5(2) + 4 ⇒ 3 = -0.8 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)now add -0.8 + 4 to simplify the rest of the right side of the equation.
3 = -0.8 + 4 ⇒ 3 = 3.23 and 3.2 are not equal, therefore (2, 3) is not a solution.
(-5, 6) IS a solution.
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
-5 is the x-value and 6 is the y-value. coordinate pairs are always written as (x, y).plug in -5 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(-5) + 4now plug in 6 for y.
y = -2/5(-5) + 4 ⇒ 6 = -2/5(-5) + 4your equation is now 6 = -2/5(-5) + 4. begin simplifying by multiplying -2/5 and -5.
6 = -2/5(-5) + 4 ⇒ 6 = 2 + 4now add 2 + 4 to simplify the rest of the right side of the equation.
6 = 2 + 4 ⇒ 6 = 66 and 6 are equal, therefore (-5, 6) is a solution.
although we have identified (-5, 6) as a solution, i'm still going to check the rest of the points just to be sure! :)
(6, 2) is NOT a solution.
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
6 is the x-value and 2 is the y-value. coordinate pairs are always written as (x, y).plug in 6 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(6) + 4now plug in 2 for y.
y = -2/5(2) + 4 ⇒ 2 = -2/5(2) + 4your equation is now 2 = -2/5(6) + 4. begin simplifying by multiplying -2/5 and 6.
2 = -2/5(6) + 4 ⇒ 2 = -2.4 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)now add -2.4 + 4 to simplify the rest of the right side of the equation.
2 = -2.4 + 4 ⇒ 2 = 1.62 and 1.6 are not equal, therefore (6, 2) is not a solution.
(-2/5, 4) is NOT a solution.
i see that they want to trick you with this one by using the values that are in other spots in the equation... that's crafty
steps for solving algebraically:
first, identify the x and y values in your coordinate pair.
-2/5 is the x-value and 4 is the y-value. coordinate pairs are always written as (x, y).plug in -2/5 for x in [tex]y = -\frac{2}{5}x + 4[/tex] (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)
y = -2/5x + 4 ⇒ y = -2/5(-2/5) + 4now plug in 4 for y.
y = -2/5(-2/5) + 4 ⇒ 4 = -2/5(-2/5) + 4your equation is now 4 = -2/5(-2/5) + 4. begin simplifying by multiplying -2/5 and -2/5.
4 = -2/5(-2/5) + 4 ⇒ 4 = 0.16 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)now add 0.16 + 4 to simplify the rest of the right side of the equation.
4 = 0.16 + 4 ⇒ 4 = 4.164 and 4.16 are not equal, therefore (-2/5, 4) is not a solution.
as for finding the solution on a graph, enter the equation for the line as well as the coordinate pairs into a graphing calculator. here i used a handy little site called desmos in order to graph all of this. the first photo i attached contains what i entered into the calculator, and the second photo i attached shows the graph. as you can see, the only point that is actually on the line is (-5, 6), which is why (-5, 6) is a solution to [tex]y = -\frac{2}{5}x + 4[/tex] , and the other coordinate pairs are not solutions to that equation because they are not on the line.
i hope this helps! have a lovely rest of your day <3
Answer:
its D you don't even need to do all the work bc the same numbers are right there in the equation
60% of 15 is what answer
Answer:9
Step-by-step explanation:
Think of it this way:
If 15=100%
then x= 60%
So what you do is you multply 60 times 15 and divide it by 100 to give you the answer of 9. To me this is the simplest way to do it, I believe it’s called butterfly multiplying. You cross multiply and then you divide.
Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid $12.50 per hour. On Sundays, she babysits at the Smith’s for 4 hours and is paid $14.50 per hour.
Rachel earns $
on Saturdays and $
on Sundays. She earns $
more on Sundays than on Saturdays.
Answer:
She earns $8.00 more on Sunday
Step-by-step explanation:
Saturday 12.50x4=50.00
Sunday 14.50x4=58.00
Answer:
$50.00 on Saturdays
$50.00 on Sundays
She earns $8 more on Sundays than on Saturdays
I hope this helps
The five Smith children run to the ice cream truck. In how many orders can they served one at the time?
answers ASAP plsssssss
Answer:
Step-by-step explanation:the answer is option A as 1 • 3 =3 and 3+4=7
(-5,-3) (5,5)
slope
What is the slope ?
Answer:
The slope is 10/8
Step-by-step explanation:
You would rise 10 units and you would run 8 units.
I need help with this question
Answer:
120
Step-by-step explanation:
that is an isosceles triangle so all angles are equal to 60
x is supplementary with the angle that is equal to 60 meaning that the two angles added with equal 180
180-60=120 so x=120
Need to know now!
How do you solve “at this rate...”
Answer: you do the length times width
Step-by-step explanation:
Answer:
"At this rate" for me usually will be some sort of dividing
is this a function or not
Answer:
No, I don't think so.
Step-by-step explanation:
I don't think this is a function because the triangle is made of multiple points. Some of these points share the same x point, so this concludes that a triangle on a graph is not a function.
Hope it helps!
What’s the area ? Please help
Answer:40
Step-by-step explanation:
Answer:
the answer is 40 square units
Step-by-step explanation:
it basically gives you the answer and you just have to choose which one. with area it will always be square units (whatever the unit my be) or units^2
18n=40
What is n? (please answer fast im doing mid terms and i have no clue what is happening)
Answer:
n = 40/18
simplify it to 20/9 or as a mixed number i would be 2 2/9
Step-by-step explanation:
Five less than the product of 2 and a number is equal to 8.
Answer:
Step-by-step explanation:
8 * 3 - 5
The temperature is −18.2 Celsius in South Dakota and -9.7 Celsius Minnesota. Which one of the following inequalities correctly compares the temperatures? Choose 1 answer: Which one of the following descriptions is correct?
Answer:
A and A
Step-by-step explanation:
please mark brainliest.
Answer:
A and A
Step-by-step explanation:
Solve the system of linear equations using Elimination
3x + y = 12
-3x+9y=48
HELP ASAP!!! Worth 20 points
Answer:
x=2
y = 6
This is the answer for above equation
What is the probability he will roll a 5?
Answer:
hurt himself if he is 5 pieces away from jail in monopoly and this is his 9th time
Step-by-step explanation:
Can you please help me?
Answer: No
Step-by-step explanation: Because.
find the perimeter or circumference and area of each figure and round to the nearest tenth
Answer:D hope this helps :)
Congruen Figures lyures Which figure is congruent to the given figure? Will give brainliest
Answer: Its the rectangle thats going upwards not flat.
Step-by-step explanation:
Answer: The rectangle at the very top and the one at the bottom are congruent.
Step-by-step explanation: REMEMBER YALL: congruent means the same( in geometry)
//Give thanks if helpful :)//
The temperature on Saturday was 6 1/2°C. On Sunday, it became 3 3/4°C colder. What was the temperature on Sunday?
Answer:
2 3/4
Step-by-step explanation:
6 1/2 - 3 3/4 is the same as 6.5-3.75 = 2.75 or 2 3/4
PLEASE ANSWER QUICK I NEED HELP
Answer:
I think c?
Step-by-step explanation: