The shipment contained 12 tablets and 36 laptops.
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the number of tablets and y represent the laptop.
Each tablet cost $375 and each laptop cost $850, hence:
375x + 850y = 35100 (1)
Also:
y = 3x (2)
From both equations:
x = 12, y = 36
The shipment contained 12 tablets and 36 laptops.
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two vertices of an obtuse triangle are $(6,4)$ and $(0,0)$. the third vertex is located on the negative branch of the $x$-axis. what are the coordinates of the third vertex if the area of the triangle is 30 square units?
Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).
The types of triangle.In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;
Equilateral triangleScalene triangleIsosceles triangleObtuse triangleRight-angled triangleHow to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
Where:
b is the base area.h is the height.Note: The height of this triangle is the y-axis of (6, 4).
Substituting the given parameters into the formula, we have;
Area = 1/2 × b × h
30 = 1/2 × b × 4
2b = 30
b = 30/2
b = 15 units.
Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).
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Complete Question:
Two vertices of an obtuse triangle are (6,4) and (0,0). The third vertex is located on the negative branch of the x-axis. What are the coordinates of the third vertex if the area of the triangle is 80 square units?
Ethan works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Ethan make in a week in which he made $1250 in sales? How much would Ethan make in a week if he made xx dollars in sales?
Ethan makes in a week = $812.5
Given :
Total sales for the week = $1250
a guaranteed salary = $500
paid a commission on top of his base salary (Percentage commission) = 25%
Time and work problem:
Work Done = Time Taken × Rate of Work
Rate of Work = 1 / Time Taken
Time Taken = 1 / Rate of Work
If a piece of work is done in x number of days, then the work done in one day = 1/x
Total Wok Done = Number of Days × Efficiency
Efficiency and Time are inversely proportional to each other
X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
Solution :
Amount of commission earned = 25% of $1250
= 25/100 × $1,250
= 0.25 × 1250
= $312.5
Total earnings = Base salary + Amount of commission earned
= $500 + $312.5
= $812.5
Ethan makes in a week = $812.5
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The inverse of f(x)=9x^2
Given function:
f(x) = 9x²Let the inverse is y = f⁻¹(x).
Swap x and y in the given function and solve for y:
x = 9y²y² = x/9y = √(x/9)y = √x / 3The inverse of the given function is:
f⁻¹(x) = √x / 3Answer:
f-¹(x) = √(x)/3
Step-by-step explanation:
Now we have to,
→ find the inverse of f(x)=9x²
Then the inverse function will be,
→ f(x) = 9x²
→ y = 9x²
→ 9y² = x
→ y² = x/9
→ y = √(x/9)
→ [ y = √(x)/3 ]
Hence, the inverse is √(x)/3.
Find parametric equations that describe the intersection of the cone z=x^2+y^2 and the plane =2z
Answer:
hhrhrthrtht
Step-by-step explanation:
explain the process of finding the mean of a data set in your own words.
Answer:i hope this helps
Step-by-step explanation:add all the terms together and divide by the amount of terms given
An ice cream store recorded the flavors of its recent cone sales.
chocolate 10
cookie dough 6
mocha 20
vanilla 8
Considering this data, how many of the next 99 cones sold would you expect to have mocha ice cream?
What is the distance between -6 2/3 and 4 1/3 on a number line, in units?
Select ALL that apply.
The distance between the points = |-6 2/3 - 4 1/3| = |-20/3 - 13/3| = |-33/3| = |-11| = 11 units.
How to Find the Distance between Two Points on a Number Line?The distance between two points on a number line is the absolute difference between their coordinates.
Given the following points are on a number line:
-6 2/3 and 4 1/3
The distance between the points = |-6 2/3 - 4 1/3|
The distance between the points = |-20/3 - 13/3|
The distance between the points = |(-20 - 13)/3|
The distance between the points = |-33/3| = |-11|
The distance between the points = 11 units.
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Grace has read 2 chapters in each of her 9 books. How many chapters has read in all
Answer:18
Step-by-step explanation:2*9=18 hope this helps
Answer:
18 chapters have been read in total.
Step-by-step explanation:
Wayne ate Takis everyday for n days. He ate 28 bags total.
Write an expression for how many bags of Takis Wayne ate each day.
I NEED AN ANSWER SOON!!!!
The expression for no. of bags of Takis Wayne ate each day is given by, b = 28/n.
What is an expression?Expresssion are mathemaical ways of writing staments.There are many types of mathematical expressions some of them are :- Algebraic expressions, Logarithmic expressions, Trigonometric expressions and many more.
Here the no. of days is represented by 'n' and total no. of bags of akis he ate is 28.
Assuming Wayne ate 'b' bags of Takis everyday.
∴ No. of bags of Takis each day multiplied by no. of days is equal to total no. of bags of Takis he ate which is numerical form is,
b×n = 28.
So, The expression for no. of bags of Takis Wayne ate each day is ,
b = 28/n.
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hlllppppp! brainliest to first
y = -2x + 18
y = 8
Solution for the above system?
brainliest to first!!!!!!!hlpppppp!!!!!!!!!!!
Answer:
x =5
Step-by-step explanation:
8 = -2x + 18 Subtract 18 from both sides
-10 = -2x Divide both sides by -2
5 = x
Pls show steps on how u got the answer and thank u
Answer:
A=3
Step-by-step explanation:
-7a+28=7
subtract 28 from both sides to eliminate it from the first side
-7a=-21
Two negatives equals a positive
7a=21
divide both sides by 7
a=3
What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!
Answer:
I believe the answer is 943,158,670.349
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
3+9(5)
8
2 is equal to
Answer:768
Step-by-step explanation:
Select the correct answer. What is this expression in simplified form? 2√2-7√18 OA 18√5 OB. 84√2 OC. 84 OD. 14sqrt6
The expression in simplified form is -19√2
How to write this expression in simplified form?The expression is given as:
2√2 - 7√18
Express 18 as 9 * 2
So, we have:
2√2 - 7√18 = 2√2 - 7√(9 * 2)
Take the square root of 9
2√2 - 7√18 = 2√2 - 7 * 3√2
This gives
2√2 - 7√18 = 2√2 - 21√2
Evaluate the difference
2√2 - 7√18 = -19√2
Hence, the expression in simplified form is -19√2
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2. Cassie finishes softball practice at 3:52 p.m. after practicing for 30 minutes. What time did Cassie's
practice start?
Answer:
3:22!
Step-by-step explanation:
Answer:
3:22 p.m.
Step-by-step explanation:
30 minutes before 3:52 p.m.
think of hours and minutes separately for now
3hours
52 minutes
if you are trying to find the time 30 minutes before 3:52 subtract 30 from 52 then put your hours and minutes side by side with a colon (:) in between
3:22
Add a.m. if its after midnight and p.m. if it's after noon
What is the 4th term in the following expression?
-2 - 5x -7 - 9x
The value of the expression is -65.
How to compute the expression?It should be noted that the function given is illustrated as:
-2 - 5x -7 - 9x
In this case, you've to put the value of x as 4.
This will be:
= -2 - 5x -7 - 9x
= -2 - 5(4) - 7 - 9(4)
= -2 - 20 - 7 - 36
= -65
Therefore, the value of the expression is -65.
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I NEED HELP FAST PLEASE‼️‼️
SIMPLIFY TO SIMPLEST FORM‼️
Answer:
1/2
Step-by-step explanation:
-put 3/8 and 3/4 side-by-side.
-keep 3/8
-change the division sign to a multiplucation sign
-flip 3/4 to 4/3
-multiply
I don't get this, I would be happy if someone helped me.
Answer:
Step-by-step explanation:
(5/8 + 6/8)/(-4/6 - 5/6)
(11/8)/(-9/6)
(11/8)*(-6/9)
= -66/72 = -11/12
Answer:
11/12
Step-by-step explanation:
5/8 + 3/4 = 1 3/8
-2/3 - 5/6 = 1 1/2
1 3/8 divided by 1 1/2 = 11/12
(PLEASE HELP) -5 - (-5/3)
Answer:
steps
-5-5(-5/3)
=-5-(-25)
=10/3
=3 1/3
Step-by-step explanation:
7. The top of a tree is 35 feet above ground level. The roots reach down 22 feet below ground
level. What is the difference between the top of the tree and the bottom of the roots?
Answer:
57?
Step-by-step explanation:
35-(-22)
Rewrite: [tex]15\frac{1}{6}[/tex]% as a decimal. Round to the nearest thousandths.
Answer:
15.17
Step-by-step explanation:
Multiply whole number by denominatorAdd product to the numeratorDivide the sum by the denominatorRound your number to the neaests thousandth
A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon. is 48 centimeters, what is the height of each triangle?
A 4 \mathrm{~cm}
B 4 \sqrt{3} \mathrm{~cm}
C 6 \sqrt{3} \mathrm{~cm}
D 8 \mathrm{~cm}
E 8 \sqrt{3} \mathrm{~cm}
Answer:Your answer would be E
Step-by-step explanation:8 times 6 would be 48
The measure of height of each triangle will be 4√3 cm. Then the correct option is B.
What is the perimeter of the regular polygon?All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.
P = (Side length) x n
A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon is 48 centimeters.
Then the Side length of each triangle will be given as,
48 = (Side length) x 6
Side length = 8 cm
Then the measure of the height of each triangle will be calculated as,
tan 60° = h / (8 / 2)
√3 = h / 4
h = 4√3 cm
The measure of height of each triangle will be 4√3 cm. Then the correct option is B.
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if the discounted price is 14 how much money dose one section represent
The price of one section represent $2.
We will use the tape diagram to represent the sale price and regular price of the item.
We know that percentage is used to represent the fractions of a whole number.
Here, the regular price is the whole number, and the discount and discounted price represent the fractions.
The coupon she used is 30%, which means 30% off the regular price is the discounted price. We know that 30% + 70% = 100%. This means Mia paid 70% of the regular price for the backpack.
Refer to the attached image for the tape diagram.
By looking at the tape diagram attached, it is clear that 7 sections are used to show the discounted price.
If the discounted price is $14,
The price of one section = $14/7 = $2
Therefore, the price of one section is $2.
⇒The regular price = 10 × price of one section = 10 × $2 = $20.
So, Peter needs to pay $20 to buy a similar backpack.
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Disclaimer:
The given question is incomplete.
Assume the following as the complete question.
Mia told Peter that her new backpack only cost $14 because she used a 30% off coupon when she bought it. Peter wants to buy a similar backpack. How much will it cost if he does not have a 30% off coupon?
a train is travelling at a speed of 90 miles per hour. the driver of the train plans on maintaining this speed for the next 120 miles, plus or minutes 15 miles. find the minimum and maximum numbers of hours the train will travel at that speed.
The minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5
How to find the minimum and maximum numbers of hours the train will travel at that speed?The given parameters are
Speed = 90 miles per hour
Current speed = next 120 miles, plus or minutes 15 miles.
Let the time travelled be x
So, we have the following equation
Speed * Time = Distance
This gives
|90x - 120| =15
Remove absolute bracket
90x - 120 = ±15
Add 120 to both sides
90x = 120 ±15
This gives
90x = (120 - 15, 120 + 15)
Evaluate
90x = (105, 135)
Divide by 90
x = (1.17, 1.5)
Hence, the minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5
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Suppose that both of the events you have just analyzed are partly responsible for the decrease in the price of hamburgers. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the decrease in the price of hamburgers?.
If there is an increase in the equilibrium quantity of hamburgers, the supply shift in the market must have been greater than the demand shift.
Assuming that all demand-shift factors remain constant, the hamburger demand curve illustrates the relationship between hamburger price and quantity required by consumers. The factors influencing how many hamburgers consumers desire to purchase at a particular price are known as demand determinants.
If the price of hamburgers increases, the demand curve will move from the previous price to the new price. However, if any of the demand-shift variables change, such as the cost of hot dogs, the cost of hamburger buns, or the income of hamburger consumers, the demand curve will alter.
Demand is where the demand curve is located. Demanded quantity is the volume that customers want to purchase.
The position of the supply curve is referred to as supply. The quantity of supplies you desire to sell is referred to as the quantity supply.
In this instance, an increase in supply will result in a fall in the equilibrium price and a movement all along the demand curve. The quantity demanded changes, while the demand curve does not.
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What is the value of the expression 3 -4?
Answer:
-1
Step-by-step explanation:
3 - 4 = -1
When dealing with subtraction, you must be very careful with the order you place your numbers in. Let alone, subtraction is important in real-world situations, so just something to help. :)
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Wrapping up:
➲ Hope this helps.
➲ Notify me of any concerns, and I will address those concerns.
➲ Have a good day.
try these using the above pattern, find the value of the following. (i) 73 – 63 (ii) 123 – 113 (iii) 203 – 193 (iv) 513 – 503
The value of the given question by using the above pattern is (i)127, (ii)397, (iii)1141, (iv)7651.
What do you mean by pattern?In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. Any of the senses can directly witness patterns, which are types of patterns made of geometric shapes and frequently repeated like wallpaper designs. On the other hand, abstract patterns in science, math, or language might only be visible through analysis. In actuality, direct observation entails recognizing visual patterns, which are common in both nature and art. Natural visual patterns are frequently chaotic, hardly ever precisely repeat, and frequently contain fractals. Spirals, meanders, waves, foams, tilings, fissures, and patterns produced by rotational and reflective symmetries are examples of natural patterns.
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How many lines appear in a square
Answer: 4?
Step-by-step explanation:
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer:
x=17/99
Step-by-step explanation:
Lets break this problem down ^^
Let x= 0.171717...
100x = 17.1717...
100x=17.1717.. - x=0.171717...
99x=17
x= 17/99
Hope this helps!! ^^
from the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 26°. how far is the ship from the base of the lighthouse? (round your answer to the nearest foot.)
The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.
What is Angle Of Depression?The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item. When we know the angles and the distance of an object from the ground, it is primarily utilized to find the distance between the two objects.Given:
Height of lighthouse = 160 feetAngle of depression = 26°To find: Distance of ship from the base of the lighthouse.
Finding:
Let 'x' be the distance of the ship from the base of the lighthouse and θ be the angle of depression.
Then, tanθ = [tex]\frac{160}{x}[/tex]
=> x = [tex]\frac{160}{tan26}[/tex]
=> x = [tex]\frac{160}{0.487}[/tex]
=> x = 328.54m
Hence, The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.
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