Answer:
240 miles
Step-by-step explanation:
The actual distance between two towns, which are separated by 6 inches on a map with a scale of 1 inch to 40 miles, is 240 miles.
Explanation:The subject of this question is Mathematics, specifically focusing on understanding how map scales work. In this case, the map scale is 1 inch equals 40 miles. This means, for every inch on the map, it represents 40 miles in actual distance.
To find out the real distance between two towns that are separated by 6 inches on the map, you multiply the map scale distance (40 miles) by the number of inches (6).
Which is, 6 inches x 40 miles = 240 miles.
So, the actual distance between the two towns is 240 miles.
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Donato is 6 feet 2 inches tall. His sister is 68 inches tall. Donato is how many inches taller.
6 inches taller
Step-by-step explanation:
There’s 12 inches in a foot. So 12•6 is 72 then plus another 2 then you get 74. Then subtract 74 by 68 and you get 6
Answer:
Step-by-step explanation: since 1 foot =12 inches then we multiply 12*6=72 inches +2 inches =74 inches therefore Donato is 74 inches which is obviously bigger than 64 inches so we subtract 74-64=10
As a result ,Donato is 10 inches taller than his sister
You want to draw an enlargement of a design that is printed on a card that is 5 in. by 6 in. You will be drawing this design on an piece of paper that is 8.5 in. by 11 in. What are the dimensions of the largest complete enlargement you can make?
Answer:
The dimensions of the largest enlargement are
[tex]8\frac{1}{2}\ in\\10\frac{1}{5}\ in[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the scale factor is the ratio of its corresponding sides
step 1
Divide 8 1/2 by 5
[tex]8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in[/tex]
so
[tex]\frac{17}{2}/5=1.7[/tex]
step 2
Divide 11 by 6
so
[tex]\frac{11}{6}=1.83[/tex]
step 3
Find the largest complete enlargement
The scale factor is the smaller of the two previous values
so
The scale factor is 1.7
The dimensions are
[tex]5(1.7)=8.5=8\frac{1}{2}\ in[/tex]
[tex]6(1.7)=10.2=10\frac{1}{5} \ in[/tex]
The largest complete enlargement of the original 5 in by 6 in design that can be made on an 8.5 in by 11 in paper has dimensions of 8.5 in by 10.2 in, determined by the limiting width dimension and maintaining the aspect ratio.
Explanation:The question involves finding the dimensions of the largest complete enlargement of a design with an original size of 5 in. by 6 in. onto a piece of paper that is 8.5 in. by 11 in. To determine the largest complete enlargement, we must consider the scale factor that will allow the design to fit within the dimensions of the larger paper while maintaining the aspect ratio of the original design.
To maintain the aspect ratio, the scale factor for width and height must be the same. We compare the ratio of the widths and the heights of the original and target sizes to find the limiting dimension:
For width: 8.5 in / 5 in = 1.7For height: 11 in / 6 in = 1.833...Since the scale factor for the width (1.7) is less than the scale factor for height, the width is the limiting factor. Thus, we can enlarge the original design by a factor of 1.7 to fit the paper. Now, we calculate the enlarged dimensions:
Width: 5 in * 1.7 = 8.5 inHeight: 6 in * 1.7 = 10.2 inThe largest complete enlargement of the design that can be made on an 8.5 in by 11 in paper will have dimensions of 8.5 in by 10.2 in.
an elephant eats about 2500 pounds of food in 10 days. About how muck food does an elephant eat in 1000 days
Final answer:
An elephant that eats about 2500 pounds of food in 10 days would eat approximately 250,000 pounds in 1000 days. You find this by dividing 2500 pounds by 10 to get a daily consumption rate and then multiply that rate by 1000 days.
Explanation:
If an elephant eats about 2500 pounds of food in 10 days, to find out how much food it eats in 1000 days, you should first calculate how much it eats per day and then multiply that number by the total number of days (1000). To find the daily food consumption, you divide the total food consumed in 10 days by the number of days:
2500 pounds ÷ 10 days = 250 pounds per day.
Now multiply the daily consumption by 1000 days to find the total amount for that period:
250 pounds per day × 1000 days = 250,000 pounds.
So the elephant would eat approximately 250,000 pounds of food in 1000 days.
5. Name the property the equation illustrates.
the sum of 7 times a number and 9 is 4
3. You want to leave a tip for a meal that
costs $17.95. If all you have is $3.00, what
percentage tip will you be able to leave?
Answer:
17%
Step-by-step explanation:
3/17.95 = 0.167
0.167 × 100 = 16.7 *rounding to 17
12.95 × 0.17 = 3.0515
Chang drove 315 miles in 5 hours.
At the same rate, how long would it take him to drive 567 miles?
I hours
Answer:
AROUND 6-7 HOURS
Step-by-step explanation:
What is wrong with this solution?
-5m - 16 = 19
5m - 16 + 16 = 19 + 16
Step One:
Step Two:
Solution:
m = 7
Final answer:
The solution shown is incorrect because the equation is not simplified before performing operations.
Explanation:
The solution shown is incorrect. Let's go step by step to find the error:
Step One: -5m - 16 = 19
Step Two: 5m - 16 + 16 = 19 + 16
Step Three: 5m = 35
Step Four: Divide both sides by 5: m = 7
The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.
Therefore, the correct solution is m = 7.
Final answer:
The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.
Explanation:
The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.
Step One
Add 16 to both sides of the equation to eliminate the -16:
-5m - 16 + 16 = 19 + 16
-5m = 35
Step Two
Divide both sides by -5 to solve for m:
-5m / -5 = 35 / -5
m = -7
The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.
10. A student studied 18 hours in 7 days, if he wants to study average 2 hours each day for 14 days. How many hours he needs to study for next 7 days?
Answer:
2 x 14 = 28
28 - 18 = 10
He needs to study for 10 hours that week or, about one and half hours per day.
Movies are on sale for 1/4 the original price. If the original price is $20, which expression gives the sale price?
What is 4 equal expressions to 4(2x^2+16)
Answer:
8x^2+64
Step-by-step explanation:
Max spent 35 minutes doing research on the internet. She finished at 7:10 P.M. At what time did max start her reserch
Answer:
6:35
Step-by-step explanation:
Answer: 6:35
Step-by-step explanation:
7:10 take 10 from 35 and you get down to 7:00 and then subtract 25 from 7:00 and get your answer
-2 square root 20- square root 125
Answer:-5.93958251....
Step-by-step explanation:
To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.
The question asks to simplify the expression -2√20 - √125.
First, let's simplify the square roots by factoring out squares from under the radical:
√20 = √(4×5) = √4√5 = 2√5√125 = √(25×5) = √25√5 = 5√5Now let's substitute these simplified forms back into the original equation and simplify:
-2(2√5) - 5√5 = -4√5 - 5√5
Combine like terms to get the final simplified result:
-9√5
complete question given below:
simplify -2 square root 20- square root 125
Find the missing number
45-9=46-
The answer is 10 because 45-9 is 36, so 46-x must be 36, which would result in 10
Solve the equation for y plz -1.2y-4.2y=-3.78
Answer:
y=0.7
Step-by-step explanation:
-1.2y-4.2y=-3.78
Simplify:
-5.4y=-3.78
5.4y=3.78
3.78/5.4=0.7
y=0.7
What is the scale factor on the map (10 points
Answer:
2785
Step-by-step explanation:
Solve for y.
2(-4y + x) = 4
Answer:
Step-by-step explanation:
-4y + X = 2
-4y = 2 - x
y = 2 - x/ -4
hope this helps!!
The value of y in terms of x is -1/2 + x/4.
To solve for y, we start with the equation 2(-4y + x) = 4.
Distribute the 2 inside the parentheses: -8y + 2x = 4.
Move the term with x over to the other side by subtracting 2x from both sides: -8y = 4 - 2x.
Isolate the y by dividing both sides by -8: y = (4 - 2x) / -8.
Simplify the right side by dividing both terms by -8: y = -1/2 + x/4.
Find two consecutive even integers whose sum is 30
Answer:
14 & 16
Step-by-step explanation:
30÷2=15
15+15=30, so we can make the conclusion...
14+16=30
A principle of $20,000 is invested at $6.25 and earns $10,000 simple interest how long has the money been invested
Answer:
1600
Step-by-step explanation:
Assuming $6.25 is the interest earned annually,
Let n be the no. of years
Then,
6.25 × n = 10000
n = 10000/6.25
n = 1600
For what value of x is the rational expression below equal to zero?
X-4/x-6
Answer:
Step-by-step explanation:
When x equals to 4
4-4 = 0
-------------
4-6 = -2
0/-2 = 0
The rational expression X-4/x-6 equals zero when X equals 4, as long as the denominator is not zero, which avoids division by zero.
The question asks: For what value of x is the rational expression below equal to zero? The expression given is X-4/x-6. To find when this expression is equal to zero, we need to understand that a rational expression equals zero when its numerator is zero (and the denominator is not zero, to avoid division by zero).
To solve X-4 = 0, we simply add 4 to both sides of the equation, getting X = 4. This means that the rational expression is equal to zero when X equals 4, given that X is not equal to 6 to avoid making the denominator zero, which would be undefined. Hence, the value of X that satisfies the condition is 4.
If a number is divisible by 3 and 5 then it is divisible by 15
Answer:
Yes!
Step-by-step explanation:
Besides 15 and one, 3 and 5 are the greatest common factors of 15. Those numbers are therefore divisible by any product of 15.
Example:
45
45/3 = 15
45/5 = 9
45/15 = 3
Answer:
Yes it is
Step-by-step explanation:
Since the multiplication of 3 and 5 will give 15
I.e 3 × 5 = 15
Then any number that can be divided by 3 and 5, can also be divided by 15.
A pair of shoes is priced $35.99, but is on sale for 20% off.What is the sale price of the shoes
Answer: $7.20
Step-by-step explanation:
20% equals 1/5 and 35.99 divided by 1/5 is 7.198 now round to the nearest tenth and you got 7.20.
29+x+41=90 and 113-y=90
29+x+41 = 90
x+70 = 90 ..... combine like terms
x+70-70 = 90-70 .... subtract 70 from both sides
x = 20 answer---------------------------------------
113 - y = 90
113 - y = 90 - 113 ... subtract 113 from both sides
-y = -23
y = 23 answerApply the distributive property to factor out the greatest common factor 70-40p
Answer:
10(7-4p)
Step-by-step explanation:
You can buy 5 cans for green beans at the Village Market for $3.70. You can buy 10 of the same cans of beans at Sam’s club for $6.30. Which place is the the better buy?
Answer:
Sams club
Step-by-step explanation:
3.70/5= $.74 per can
6.30/10=$.63 per can
Eden spent half of her weekly allowance on candy. To earn more money her parents let her weed the garden for $5. What is her weekly allowance if she ended with 12?
Answer:
her weekly allowance would be 7
Step-by-step explanation:
Answer:
$24
Step-by-step explanation:
12 is 1/2 of 24.
So, when she weeds the garden, she will have $17.
If she gets her weekly allowance and the $5, she will have $41, assuming she doesn't spend any of the money she already has.
At midnight the temperature is -6°C. At midday the temperature is 9°C. By how much did the temperature rise?
Answer:
15 degrees
Step-by-step explanation:
It went from -6 to 0 which is 6 degrees of change then from 0 to 9 degrees which is 9 degrees of change 9+6=15
The amount of temperature that has been increased from midnight to midday is 15°C.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Midnight temperature = -6°C
Midday temperature = 9°C
The difference between the temperature.
= 9 - (-6)
= 9 + 6
= 15°C.
Thus,
The temperature is raised by 15°C.
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The high temperature on Monday was -14 F.on Tuesday the high temperature was 24 F. What is the difference in high temperatures on theses 2 days
The length of a rectangle is 2 units more than the width. The area is 63 units. What is the width, in units, of the rectangle?
Answer:
the width is 7. i just did this in deltamath
Step-by-step explanation:
I need help please and thank you
(A AND B ARE NOT ANSWERS THEY ARE SEPARATE PROBLEMS)
Answer:
Part a) Wayne's savings before he spent $28 was $31.08
Part b) Stef's savings after she spent $28 was $9.29
Step-by-step explanation:
Part a)
Let
x ----> original amount of Wayne's savings
y ----> original amount of Stef's savings
we know that
Original ratio
[tex]\frac{x}{y}=\frac{5}{6}[/tex]
[tex]x=\frac{5}{6}y[/tex] ----> equation A
After spending $28 each
[tex]\frac{x-28}{y-28}=\frac{1}{4}[/tex]
Multiply in cross
[tex]4x-112=y-25\\y=4x-112+25[/tex]
[tex]y=4x-87[/tex] ----> equation B
substitute equation A in equation B
[tex]y=4(\frac{5}{6}y)-87[/tex]
solve for y
[tex]\frac{20}{6}y-y=87[/tex]
[tex]\frac{7}{3}y=87[/tex]
[tex]y=37.29[/tex]
Find the value of x
[tex]x=\frac{5}{6}(37.29)=31.08[/tex]
so
The original amount of Wayne's savings was $31.08 and the original amount of Stef's savings was $37.29
therefore
Wayne's savings before he spent $28 was $31.08
Part b) Find Stef's savings after she spent $28
Subtract $28 from the original savings
so
$37.29-$28=$9.29
therefore
Stef's savings after she spent $28 was $9.29