A family's vacation destination is 850 miles from their home. They travel by car 6 hours on the first day of their trip. Their average speed is 45 mph. The next day they travel 7 hours, averaging the same speed. How many miles are left for the family to travel?
A) 225 miles
B) 265 miles
C) 285 miles
D) 345 miles
Order the numbers from least to greatest.
9/5. -2.5, -1.1. -4/5, 0.8
Karita had $138.72 in her checking account. She wrote checks for $45.23 and $18.00. Then she made a deposit of $75.85 into her account
ST=x+3 and TU=4x-6 what is the value of ST and SU
I know ST=6 and SU=12, but I'm not sure how to do the problem, can someone explain?
(S, T, and U are all on the same line)
Answer:
ST= 6 unit and SU = 12 unit
Step-by-step explanation:
Here, S, T, and U are all on the same line,
Also, T is between S and U,
Such that ST = TU
Here, ST = x+3 and TU = 4x-6,
⇒ x + 3 = 4x - 6
Subtracting 3 on both sides,
⇒ x = 4x - 9
Subtracting 4x on both sides,
⇒ -3x = -9
Divide both sides by -3,
⇒ x = 3
Hence, ST = 3 + 3 = 6,
And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12
This situation is described by the image below, where we can see that:
Points S, T, and U are colinear points.
Point T is the midpoint of the segment SU.
This means that:
ST = TU
We also know that:
ST = x + 3
TU = 4x - 6
Then we can write:
ST = x + 3 = 4x - 6 = TU
x + 3 = 4x - 6
3 + 6 = 4x - x
9 = 3x
9/3 = x = 3
Now that we know the value of x we can replace it in the equations of ST and TU
ST = x + 3 = 3 + 3 = 6
TU = 4x - 6 = 4×3 - 6 = 6
And T is a point between S and U, this means that:
SU = ST + TU = 6 + 6 = 12
SU = 12
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Big sale at the mall this weekend! Tank tops are on clearance for 70% off. T-shirts that regularly cost $20.00 are on sale for $12.00 each if you buy 3 or more. All jeans are half off. Write an equation to calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans. Use t to represent the original price of a tank top and j to represent the original price of a pair of jeans.
The equation to calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans is Total price = 1.6t + 36 + j/2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Tank tops are on clearance for 70% off.
Let t be the original price.
Sale price of tank top = t - 20% of t = t - 0.2t = 0.8t
Sales price for 2 tank tops = 1.6t
Sale price for a T shirt = 12 if you buy 3 or more T shirts.
Sales price for 3 T shirts = 3 × 12 = 36
Let j be the original price of a jean.
Sale price = j/2
Equation to find the total price is,
Total price = 1.6t + 36 + j/2
Hence the required equation is Total price = 1.6t + 36 + j/2
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Final answer:
To calculate the total cost of 2 tank tops, 3 T-shirts, and 1 pair of jeans with given discounts, use the equation C = 0.60t + 36.00 + 0.5j, where t is the original price of a tank top and j is the original price of jeans.
Explanation:
The question involves calculating the total cost of purchasing 2 tank tops, 3 T-shirts, and 1 pair of jeans, with specified discounts, using the original prices of a tank top (t) and a pair of jeans (j) as variables. To compute this, we will establish an equation based on the given discounts.
For tank tops at 70% off, each tank top costs 0.30t since they are 30% of the original price. Buying 2 means spending 2(0.30t) = 0.60t.
For T-shirts, the sale offers them at $12.00 each when buying 3 or more. Thus, the total for 3 T-shirts is 3($12.00) = $36.00.
For jeans at half off, the cost of 1 pair is 0.5j, representing 50% of the original price.
Combining these, the equation for the total cost (C) is: C = 0.60t + 36.00 + 0.5j.
12 tickets for $4.68 or 10 tickets for $4.50
What is the value of x? Enter your answer in the box. x =
On a map of Illinois, the distance between Chicago and Algonquin is 3.2 centimeters. If 2 centimeters = 40 kilometers, what is the approximate distance between the two cities?
Final answer:
The approximate distance between Chicago and Algonquin is 64 kilometers.
Explanation:
To find the approximate distance between Chicago and Algonquin, we can use the given scale of 2 centimeters = 40 kilometers. Since the distance on the map is 3.2 centimeters, we can set up a proportion to find the actual distance:
2 cm / 40 km = 3.2 cm / x km
Cross multiplying, we get 2x = 40 x 3.2, which simplifies to 2x = 128. Dividing by 2, we find that x is equal to 64. Therefore, the approximate distance between Chicago and Algonquin is 64 kilometers.
Forty nine people are waiting in line to see the dinosaur movie seventeen are in front of Jackie how many are behind her the dinosaur movie lasts 97 minutes it starts at 4:30 pm what time will it end
Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better deal, based on a lower unit price per roll? Store 1 Store 2 Paper towel rolls 12 15 Price $3.30 $3.50 Store ___ has the better deal.
store 1 has 12 for 3.30
3.30/12 = 0.275 each
Store 2 has 15 for 3.50
3.50/15 = 0.233 each
Store 2 has the better deal
Answer:
store 2
Step-by-step explanation:
Subtract the following polynomials, then place the answer in the proper location on the grid.
To subtract polynomials, align the terms and subtract their corresponding coefficients.
Explanation:Subtracting polynomials involves subtracting the corresponding terms from each other. Start by aligning the like terms and then subtract their coefficients. If there are any terms that cannot be simplified further, leave them as they are in the final answer. For example, if we have (3x^2 + 2x - 5) - (2x^2 - 3x + 4), we align the terms and subtract them to get (3x^2 - 2x^2) + (2x + 3x) + (-5 - 4) = x^2 + 5x - 9.
Consider the equation .(-22+3x/3x+7)=2
How do you begin isolating the variable x to one side of the equation? Multiply both sides by 3x + 7. Divide both sides by 3x + 7. Multiply both sides by -22 + 3x. Divide both sides by -22 + 3x. _______
The solution of the equation is______
Answer: The solution of the above equation would be -12.
and First option is correct " Multiply both sides by 3x + 7."
Step-by-step explanation:
Since we have given that
[tex]\dfrac{-22+3x}{3x+7}=2[/tex]
First we multiply (3x+7) on both sides , we get
[tex]-22+3x=2(3x+7)[/tex]
And then we will solve it for the value of 'x'.
[tex]-22+3x=6x+14\\\\-22-14=6x-3x\\\\-36=3x\\\\\dfrac{-36}{3}=x\\\\-12=x[/tex]
Hence, the solution of the above equation would be -12.
and First option is correct " Multiply both sides by 3x + 7."
Answer:
Multiply both sides by 3x + 7. Divide both sides by 3x + 7. Multiply both sides by -22 + 3x. Divide both sides by -22 + 3x
Step-by-step explanation:
Alice needs twice as many yards and ribbon as Quincy how many rolls and ribbon does alice need
Please help me find what 15/16 subtract 3/4 is?
142.5 devided by 9.5 find the quotient
Given: ΔXYZ
XY = 28 cm; XZ = 30 cm; YZ = 32
AB is a midsegment parallel to XY
What is the length of AB?
Answer:
I think the answer is
7cm
Answer:
The correct answer should be 7cm if not 14cm
Betsy participates in a scavenger hunt that requires her to retrieve items from 4 locations. The locations are on a map with the coordinates as given:
Location 1 is at (−4, −1) .
Location 2 is at (−4, 4) .
Location 3 is at (3, 4) .
Location 4 is at (3, −1) .
The paths from one location to another are straight lines. One unit on the coordinate grid equals 10 yd. Betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1.
What is the total distance Betsy has traveled?
Answer:
240 yd
Step-by-step explanation:
Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.
Consider the figure in the attached file.
We need to find the total distance traveled by Betsy.
The distance covered by Betsy is
length of segment AB[tex]+[/tex] length of segment BC[tex]+[/tex] length of segment CD[tex]+[/tex] length of segment DA.
To find the distance AB, we need to find the distance from A to B on y-axis.
So, length of segment AB [tex]=5 [/tex] units
To find the distance BC, we need to find the distance from B to C on x-axis.
So, length of segment BC [tex]=7 [/tex] units
To find the distance CD, we need to find the distance from C to D on y-axis.
So, length of segment CD [tex]=5 [/tex] units
To find the distance DA, we need to find the distance from D to A on x-axis.
So, length of segment DA [tex]=7 [/tex] units
Hence, the total distance covered is [tex]5+7+5+7=24[/tex] units
It is given that 1 unit equals 10 yd, so distance traveled by Besty is [tex]10\times 24=240[/tex] yd
An investment is currently worth 1.2 x 10^7 dollars. Twenty years ago, the investment was worth 9.6 x 10^5 dollars.
How many times greater is the value of the investment today than the value of the investment twenty years ago?
Answer:
12.5
Step-by-step explanation:
Hope this helps!
A square patio has an area of 200 square feet. how long is each side of the patio to the nearest 0.05?
Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8
which statements are true about the race
(Please help!) Solve the following system by substitution:
Y=x^2+4x+6
Y= -x+2
Thank you!
Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water based on this information how many cups of water are needed if she uses 11 cups of macaroni?
She needs 33 cups of water for 11 cups of macaroni.
What is unitary method ?Unitary method is a technique for first determining the value of a single unit and then deriving the values of any given unit from it.
According to the given question Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water.
∴ For 1 cup of macaroni she needs 9/3 cups of water which is equal to 3 cups.
So, For 11 cups of macaroni she needs (11×3) = 33 cups of water.
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3. A test has 20 questions worth 100 points total. The test consists of True/False questions worth 4 points each and multiple choice questions worth 8 points each
C. Solve the system to determine how many questions of each type there are on the test. You may use any method, but you must show your work.
Answer:
x+y=20
4x+8y=100
x=-2y+25
x=-y+20
-2y+25=-y+20
-y=-5
y=5
x=15
There are 15 true/false questions and 5 multiple choice questions
a band made 8,000 copies of an album they sold 6,280 copies how many copies are left
the cost of the fabric is $1.31. what would you expect to pay for a similar piece of fabric that is 18 inches by 42 inches?
Approximately $991.56 for a similar piece of fabric that is 18 inches by 42 inches, assuming the cost per square inch remains the same.
To calculate the cost of a similar piece of fabric that is 18 inches by 42 inches, you need to first determine the area of the fabric in square inches and then multiply it by the cost per square inch.
The area of the fabric is given by the formula:
Area = Length × Width
In this case, the length is 18 inches, and the width is 42 inches. So,
Area = 18 inches × 42 inches = 756 square inches
Now that you have the area of the fabric, you can calculate the cost. If the cost of the fabric is $1.31 for 1 square inch, then you can simply multiply the cost per square inch by the total area:
Cost = Cost per square inch × Area
Cost = $1.31 × 756 square inches
Now, calculate the cost:
Cost = $991.56
So, you would expect to pay approximately $991.56 for a similar piece of fabric that is 18 inches by 42 inches, assuming the cost per square inch remains the same.
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Sheila is going to divide a 36 inch piece of ribbon into 5 equal pieces she says each piece will be 7 inches long what is Sheila’s error
how do I write A quadratic Equation From a Parabola and A Chart
To write a quadratic equation from a parabola and a chart, you can use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. Substitute the coordinates of two points on the parabola into the equation and solve for the unknown variables. Once you have the values, substitute them back into the equation to obtain the final quadratic equation.
Explanation:To write a quadratic equation from a parabola and a chart, you will need to use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. In this form, (h,k) represents the coordinates of the vertex of the parabola.
The equation can be determined from the chart by finding two points on the parabola and substituting their coordinates into the equation.
Here are the step-by-step instructions:
Select two data points from the chart that lie on the parabola.Substitute the x and y coordinates of the first point into the equation y = a(x - h)^2 + k.Substitute the x and y coordinates of the second point into the equation.Now you have two equations with two unknowns (a and h), solve the system of equations to find the values of a and h.Once you have obtained the values of a and h, you can substitute them back into the equation y = a(x - h)^2 + k to get the final quadratic equation.4. The sail of a boat is in the shape of a right triangle. If the area of the sail is 42 square feet and its base is 12 feet, what is the height of the sail?
To find the height of a sail shaped as a right triangle, utilize the area formula A = (base x height) / 2, rearranged to solve for height, leading to the solution of 7 feet for the given area of 42 square feet and base of 12 feet.
To find the height of a sail that is shaped as a right triangle with an area of 42 square feet and a base of 12 feet, we can use the formula for the area of a triangle, which is A = (base x height) / 2. Therefore, we can rearrange the formula to solve for the height:
Height = (2 x Area) / base
By plugging in the values we have:
Height = (2 x 42) / 12 = 84 / 12 = 7 feet
The height of the sail is therefore 7 feet.
Can somebody help me find the missing one