The Tent Market sells two-person tents for $299 and three-person tets for $399. During May, 8 more two-person tents than three-person tents were sold for a total of $10,768 if a represents the number of two person tents and b represents the number of three- person tents,the following system of equations that can be used to find a and b a-b=8 299a+399b=10,768 How many total tents were sold?
The system of equation that can be used to represent the situation is as follows;
a - b = 8
299a+399b=10,768
The total tents that were sold is 20.
a = number of two person tent
b = number of three person tent
The Tent Market sells two-person tents for $299 and three-person tents for $399. In may , 8 more two-person tents than three-person tents were sold for a total of $10,768. Therefore, the following equation is formed.
Combined equationb + 8 = a; a - b = 8299(b+8) + 399b = 10768Therefore,
299(b+8) + 399b = 10768
299b + 2392 + 399b = 10768
698b = 8376
b = 8376 / 698
b = 12
Therefore,
a = 12 + 8 = 20
Therefore, 20 two person tent were sold and 12 three person tent were sold. The total tents that were sold is 20.
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What is the slope of the line that passes through the points (-4, -10) and
(-7, -19)? Write your answer in simplest form.
The slope of the line that passes through the points (-4, -10) and (-7, -19) will be 3.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The two points are given below.
(-4, -10) and (-7, -19)
Then the slope of the line is given as,
m = (- 10 + 19) / (-4 + 7)
m = 9 / 3
m = 3
Then the slope of the line that passes through the points (-4, -10) and (-7, -19) will be 3.
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Please help! 1/3x+3/4+2/3x-1/4-2/3.
3x - 1/2
-
3
you have to do 1/3 x 3/4 added by 2/3 x + -1/4 + -2/3
there is a lot of steps but the answer is there find the common denominator multiply and yea
A recipe requires 1 2/3 cup of sugar. If Ms. Vasquez is going to make half of the recipe, then how much sugar does she need?
Answer:
she needs 15/6 or 2 3/6 ir 2 1/2 cups of sugar
Step-by-step explanation:
1 2/3=5/3 5/3+5/6 10/6+5/6
Answer:5/6 cup of sugar?
Step-by-step explanation:
Usually sugar isn’t measured in sixths but mathematically it would be 1 2/3 divided by 2 which would be 5/6 and that can’t really be converted into standard baking measurements?
What is the solution to this inequality?
6.9 3.4
x>10.4
x<10.4
Answer: x > 10.4
Step-by-step explanation:
Determine the intercepts of the line.
x-intercept: ( , )
y-intercept: ( , )
Answer:
y-intercept = 275
x-intercept = 125
Step-by-step explanation:
The y-intercept is the point on your line where x=0. On this line, the y-intercept is the point (0,275) (x,y)
The x-intercept is the point on your line where y=0. On this line, the x-intercept is the point (125,0) (x,y)
Im not quite sure how to solve this one
Answer:
see attachedaverage cost decreases as volume increasesStep-by-step explanation:
1.The problem statement tells you the fixed cost is $1800. It is "fixed" because it does not depend on the number of cups sold.
The variable cost per cup sold is said to be $0.59, so the total variable cost for a week will be the product of that value and the number of cups sold.
Fixed and variable costs are added to get the Total Cost. Total cost is divided by the number of cups sold to get the Average Cost. A spreadsheet performs this math nicely. (See attached.)
__
2.If you consider the equation for average cost based on the above description, you see is its ...
ac = tc/q = (fc +vc)/q = (1800 + 0.59q)/q
ac = 1800/q +0.59
where ac=average cost; tc=total cost; fc=fixed cost; vc=variable cost; q=quantity sold
You can see that the average cost will go down as quantity increases, because it spreads the fixed cost over a larger number of cups.
what should be added to 3pq plus 5 p square q square + P cube to get P Cube + 2 p square q square
Answer:
-3pq -3p²q²
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
Teresa is 46 inches tall. She is twice as tall as Lloyd. In the equation below, h represents Lloyd's height in inches.
46 = 2h
How tall is Lloyd?
23 inches
44 inches
48 inches
92 inches
Answer:
23 inches
Step-by-step explanation:
Find the area of the shape bellow.
Answer:
105 cm squared
Step-by-step explanation:
15 × 6 to get the rectangle = 90
Now we have a triangle left so you do 15 - 9 for the base which equals = 6 and multiply that by hight (6×5=30) and since it's a triangle and not a square we have to divide that answer by 2 and we get 15, and once we add those together, we get 105. (I really hope that help!!)
Answer:
105 cm²
Step-by-step explanation:
Divide the shape into a rectangle and a triangle.
Area of a rectangle = width x length
Therefore, Area = 6 x 15 = 90 cm²
Area of a triangle = 1/2 x base x height
Therefore, height = 11 - 6 = 5cm
Base = 15 - 9 = 6 cm
So, area of the triangle = 1/2 x 5 x 6 = 15 cm²
Sum both areas to find total area:
90 + 15 = 105 cm²
Solve for x.
4x + 3 = 35
Answer:
x = 8
Step-by-step explanation:
4x + 3 = 35
subtract 3 from both sides
4x + 3 - 3 = 35 - 4
4x = 32
divide both sides by 4
4x / 4 = x
32/4 = 8
we're left with x = 8
Answer:
x = 8
Step-by-step explanation:
To solve for x you need to isolate it
First, subtract 3 from both sides, so you end up with:
4x = 32
Then, divide both sides by 4 to isolate the x
x = 8
TY QUESTION ON PIC⚠️❗️
Answer:
144
Step-by-step explanation:
Multiply length x width x height
9 * 8 * 2 = 144
Find the total percentage of profit/ loss made on 2 crates of eggs which was bought at N150 per crate and sold for N100 per crate please 6:18 PM
Answer:
-33.3%
Step-by-step explanation:
The percentage loss is the same for 2 crates as for 1 crate.
% loss = (loss/cost) · 100%
% loss = (N100 -N150)/(N150) · 100% = -1/3 · 100% ≈ -33.3%
The percentage loss is 33.3%.
_____
Additional comment
In the above, the minus sign indicates a percentage change that is a loss. If the sign were positive, it would indicate a percentage profit.
Ten less than the product of 5 and a number
(worth 60 points)
Answer:
5n - 10
Step-by-step explanation:
Put this in numerals and signs:
Ten less than the product of 5 and a number
10 - 5n
We already have 10 and 5.
Less than means to subtract
Since we do not know what the "number" truly is, we can use a variable. I will choose the letter, n.
Product means to multiply, times, so that would be 5 times n, but we do not need the symbol, ×, because as long as it is next to the number, it means multiplication.
Since 10 is less than 5n, 5n is greater than 10, which means 10 would be behind the minus sign.
Therefore, the expression is 5n - 10
Answer:
5a - 10Explanation:
The word "less" defines subtraction. This means that the minuend is 5a. and ten is the subtrahend.
=> 5a - 10Hence, the expression is 5a - 10.
Graph a linear equation passes through (-2, 0) and (0, -6).
Use two points to create the graph.
What is the equation of the line?
Answer:
y= -3x-6 should be the answer :)
four and three fourths minus one and one third
Answer:
3 5/12
Step-by-step explanation:
4 3/4 - 1 1/3
3 x 3/4 x 3
4 9/12 - 1 1/3
1 x 4/3 x 4
4 9/12 - 1 4/12
4 - 1 = 3
9/12 - 4/12 = 5/12
3 5/12
Mel must buy 30 packs of dried fruit which store offers the lower price?
fresh foods
Step-by-step explanation:
find a multiple such as 15 and caculate
3 x 5 = 15 |5 x 3= 15 for fresh foods its 4 per 5 so 15 - 3
and karmels is 3 for 2.50 thus 15 is 2.50 x 5 or 12.50
what is 25% of 18£ I need help doing it
A baker needs `2/3` cup of sugar, but he can only find a `1/2` cup measure, so he decides to estimate. Which of the following would result in the correct amount of sugar?
The solution is, 1 and 1/3 scoops would result in the correct amount of sugar.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
A baker needs `2/3` cup of sugar, but he can only find a `1/2` cup measure, so he decides to estimate.
so, we have,
2/3=(4/3) / 2
so he needs 4/3 scoops.
that is 1 and 1/3 scoops
The solution is, 1 and 1/3 scoops would result in the correct amount of sugar.
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QUESTION ON PIC THX!
Answer: So you basically subtract 67 by 20% of it so that is
67-20%
Which is 53.6.
So the answer is $53.60
Answer:
The answer is $53.6
Step-by-step explanation:
Here,
67 × 20 ÷ 100 = 13.4
Now,
$67 – $13.4 = $53.6
Thus, The current price of the item is $53.6
-TheUnknownScientist 72
How do I solve 9/5 = x/16
Answer:
Cross Multiply
Step-by-step explanation:
1. Multiply 16 by 9 and you get 144
2. Multiply 5 by x
This is called cross multiplying.
3. Set up the equation. 5x=144
144/5=28.8
x=28.8
A taxi ride from the airport to the hotel is $15.50. If the taxi charges a flat fee of $3.50 and $0.75 per mile, then how many miles is the hotel from the airport?
Please answer this, and thank you.
Answer:
3.50+0.75x = 15.50
0.75x = 12 divide both sides by 0.75 to get your answer
Solve the inequality. Graph the solution
-9 < m - 6
Answer: m>−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−9<m−6
Step 1: Flip the equation.
m−6>−9
Step 2: Add 6 to both sides.
m−6+6>−9+6
m>−3
Please help meeeeeeeeeeeeeeeeee
Answer:
3 hours and 30 minutes
Step-by-step explanation:
If intro hour he passes 70 miles, then with a simple formula 245 : 70 is equal to the time
because miles divided by miles per hour simplifying we are left with only hours and digits which in our case equals 3.5 hours
[tex]f(x)=(1/x^{2} -3/x^{4} )(x+5x^{3})[/tex]
I need the answer to this please
What is the exponential form of the equation log5(x-4)=3
Answer:
5^3 = x - 4
Step-by-step explanation:
Use the log definition (see attached).
5^3 = x - 4
8 1/4=d÷ 2/12
plz help assignment due in 30 min!
Answer:
exact form: d=99/2
decimal form: 49.5
mixed number form: 49 1/2
Step-by-step explanation:
sorry for the hold up
BRAINLIEST QUESTION ON PIC TY⚠️
Answer:
sin(y)=24/25
cos(y)=7/25
tan(y)=24/7
Step-by-step explanation:
We know sinФ=Opposite/Hypotenuse, cosФ=Adjacent/Hypotenuse, and tanФ=Opposite/Adjacent. We can remember this with SOH-CAH-TOA.
We know our angle is y. The Adjacent to y is 7. The opposite to y is 24. The hypotenuse is 25.
Now, we can plug the given information into the formulas in order to get the solutions.
sin(y)=24/25
cos(y)=7/25
tan(y)=24/7
Help me i need it
and pls answer it properly
I know you deserved the points thank you
POINTS ON A FIGURE. Write CL if the following points on the figure are collinear, CP if coplanar
and N if neither on the blank.
1. points J. U
4. points O, U, J
5. points L. Y O
2. points L, J
3. points F U. L
LINES ON A FIGURE. Use the figure below to identify the following lines.
1. TK and AK
a intersecting
2. AL and TO
b. perpendicular
3. 0E and OT
c. paralle
4. LE, LB and Lo
d. skew
5. AT and LE
e. concurrent
FIGURE ILLUSTRATION, Draw the following and label them accordingly
1. points Y E. S are collinear
2. MA L TH
3. q ll p ll r


Step-by-step explanation:
I just answered that a few minutes ago.
