Answer:
[tex]Area = \frac{3}{4} cm^2[/tex]
Step-by-step explanation:
Given
[tex]Length =\frac{1}{2}\ cm[/tex]
[tex]Width = 1\frac{1}{2}\ cm[/tex]
Required
Determine the Area
Area is calculated as follows
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]
Convert mixed fraction
[tex]Area = \frac{1}{2} * \frac{3}{2}[/tex]
[tex]Area = \frac{3}{4}[/tex]
Hence, the area is
[tex]Area = \frac{3}{4} cm^2[/tex]
Need help ASAP
How many cups of water are needed to make 2 servings of soup?
8 cups of water = 10 servings
Answer:
1.6 cups
Step-by-step explanation:
2 servings is 1/5 of 10 servings, so the amount of water needed is 1/5 of 8 cups.
(1/5)(8 cups) = 8/5 cups = 1.6 cups
1.6 cups of water are needed for 2 servings.
Amanda wants to pay the same amount each month on her car loan. The number of the payment various inversely with the monthly payment amount. If each monthly payment is $175, she makes 48 payments. how much would her monthly payment be if she wanted to pay off the loan in 30 Months?
Answer:
$280
Step-by-step explanation:
175 x 48 = 8400
8400 / 30 = 280
Several families are in line to enter a water park. The first family pays $54 for two adult tickets and two child tickets. The second family pays $105 for 3 adults and 5 children. What are the ticket prices for children?
Answer:
adult tickets 15
child tickets 12
Step-by-step explanation:
2x + 2y = 54 L1
3x + 5y = 105 L2
3L1 - 2L2
6x + 6y = 162
-6x - 10y = -210
-4y = -48
y = -48/-4
y = 12
2x + 2y = 54
2x +2(12) = 54
2x + 24 = 54
2x = 54 - 24
2x = 30
x = 15
4. Solve: 2(5x-2) = 6*
Answer:
x =1Step-by-step explanation:
[tex]2(5x-2) = 6\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(5x-2\right)}{2}=\frac{6}{2}\\\\Simplify\\5x-2=3\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\5x-2+2=3+2\\\\Simplify\\5x=5\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{5}{5}\\\\Simplify\\x =1[/tex]
Suppose we get 24 inches of snow tomorrow. Warm weather comes the next day. For the next several days it stays warm and begins to melt the snow. If the snow melts at 2.5 inches a day, how much snow will be left on the ground after 7 days?
Answer:
6.5 inches
Step-by-step explanation:
Suppose we get 24 inches of snow tomorrow
The next day becomes warm.
The weather remains warm for the next several days.
The snow melts at 2.5 inches a day
Therefore the amount of snow that will be left after 7 days can be calculated as follows
= 2.5 ×7
= 17.5
Since the initial amount of snow was 24 inches then,
24 -17.5
= 6.5
Hence the amount of snow that will be left on the ground after 7 days is 6.5 inches
Two cities are 243 miles apart
It takes a train 4 hours to travel between the two cities at a constant speed.
A car travels between the two cities at a constant speed of 65 miles per hour.
Which is traveling faster, the car or the train? Explain your reasoning.
Answer:
The car is travelling faster.
Step-by-step explanation:
Given that,
Distance between two cities = 243 miles
Time of train = 4 hours
Speed of car = 65 miles/hours
We need to calculate the speed of train
Using formula of speed
[tex]v=\dfrac{d}{t}[/tex]
Where, d = distance
t = time
Put the value into the formula
[tex]v=\dfrac{243}{4}[/tex]
[tex]v=60.75\ miles/ hours[/tex]
Hence, The car is travelling faster.
Explain how you found the equation that represents Aunt
Andrea's decorating plans from the table.
Help please how do I explain how I found something when I just knew the answer right away?
Answer:
The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.
Step-by-step explanation:
I did it and that is what it gave me
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? 6 cups of flour 7 cups of flour 8 cups of flour 9 cups of flour
Answer:
The answer would be b. 7 cups of flour.
Step-by-step explanation:
I took the test.
A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Write and solve an equation to find the original price of
the headphones.
Answer:
$89.75
Step-by-step explanation:
p = original price of headphones
$71.80 = p - $17.95 Add $17.95 to both sides
$89.75 = p
Original price is $89.75
Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9
Answer:
2.4
Step-by-step explanation:
To find the mean absolute deviation, find how much each value is away from the mean, and divide it by the number of numbers you have. In this case, the mean is 5, and the deviation of each number is 4, 2, 0, 2, and 4. Add these up and you get 12. Divide 12 by the number of numbers which you have, which is 5, to get 2.4.
We have that The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is
[tex]\sigma=2.24[/tex]
From the question we are told
Find the mean absolute deviation of the set of data. 2, 3, 5, 7, 9
Generally the equation for the mean absolute deviation is mathematically given as
[tex]\sigma={\frac{\sum(x-u)}{N}[/tex]
Where
[tex]x=\frac{2+3+5+7+9}{5}\\\\x=5.2[/tex]
Therefore
[tex]\sigma={\frac{\sum(x-u)}{N}\\\\\sigma=\frac{3.2+2.2+0.2+1.8+3.8}{5}\\\\\sigma=2.24[/tex]
Therefore
The mean absolute deviation of the set of data. 2, 3, 5, 7, 9 is
[tex]\sigma=2.24[/tex]
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slice 4z - 4.4 = 3.6
A. z=0.3
B z= -0.3
C. z= -2
D. z= 2
HELPPP
Answer:
D. z = 2
Step-by-step explanation:
4z - 4.4 = 3.6 also means 4z = 3.6 + 4.4 which is 4z = 8
4 times 2 = 8
For proof do 4 times 2 minus 4.4 = 3.6
Solve for x. (Round to the nearest thousandth.)
3x - 8 = 15
Answer:x = 7.667
Step-by-step explanation:
3x - 8 = 15
+ 8 = 23
3x = 23
divide 3 by 3 and 23 so you get x by itself
answer = 7.667
Answer:
x = 7.667
Step-by-step explanation:
3x - 8 = 15 (Rearrange expression)
-8 - 15 = -3x (Combine like terms)
-23 = -3x (Divide)
x = 7.667
Is 17.5 a rational or irrational?
what is the absolute value of x-8
That completely depends on what ' x ' is.
Multiples of 3 are always multiples of 6.
Answer:yes 3x2=6
Step-by-step explanation:
Answer:
No thus statement is not right...
Step-by-step explanation:
3×3=9
but multiples of 6 doesnt have a 9
hope this helped you
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Write an equation to show that Y is directly proportional to x using the constant of proportionality given. Then solve for the unknown value.
k = 3/11 and x = 9
Answer:
y = 2[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
y ∝ kx
y = [tex]\frac{3}{11}[/tex] × 9 = [tex]2\frac{5}{11}[/tex]
if a number is negative, then its reciprocal will be;
the reciprocal will be negative
Answer:
The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.
The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. ... Notice that when you multiply negative fractions with their reciprocals, the product is always 1 (NOT -1).
Simplify |8 - 12 | its geometry
Answer:
-4
Step-by-step explanation:
What are the coordinates of the point that divides the segment into a 3:2 ratio?
Answer:
(–2.2, –1.2)
Step-by-step explanation:
o divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:
Δy=║-4-3║=7
Δx=║-1-(-4)║=3
Then we divide those differences by 5.
7/5=1.4
3/5=0.6
and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).
Px=-4+3*0.6=-2.2
Py=3-3*1.4=-1.2
so the coordinates of the point we are looking for (which I called "P") are:
P(-2.2, -1.2).
−4 + 2 and −4 + (−2) on a number line.
Answer:
Step-by-step explanation:
-4 + 2 = -2
-4 + (-2) = -6
A taxi charges $3, plus $1.50 for each mile traveled. Mr.Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr.Lewis live from the airport
Answer: 18 milles
Step-by-step explanation: ince we have to figure out how many miles away Mr. Hill lives, first we will subtract:
30 - 3 = 27
Then, divide
27 ÷ 1.50 = 18
So, Mr. Hill lives 18 miles away
Answer:
18miles
Step-by-step explanation:
Full cost minus the original cost.
30-3=27
Now you have to divide the cost by 1.5 because you have to find the distance and that is the cost per mile.
$27/1.5=18mi
10x 2-60
| 0 ||0
Is it correct?
Answer:
No. -40
Step-by-step explanation:
(10 x 2) - 60 = -40
It’s bath time while filling the tub dad used the last capful of bubble bath.after doing quick search for more to buy he notices that he can get 36oz for $3.79 or 24 oz for $2.89. Which of these options is the better deal ?
If you divide the price by the number of ounces, you will get how much you are paying for a single ounce.
[tex]\frac{3.79}{36}[/tex] ≈ 0.11 dollars per ounce
[tex]\frac{2.89}{24}[/tex] ≈ 0.12 dollars per ounce
As you can see, you are paying about 0.01 dollars more for every ounce of bubble bath in the second option. So you are better off buying 36 ounces for 3.79 dollars.
You can also do this buy dividing ounces by dollars.
[tex]\frac{36}{3.79}[/tex] ≈ 9.5 ounces per dollar
[tex]\frac{24}{2.89}[/tex] ≈ 8.3 ounces per dollar
Again, you can see that you get about 1 more ounce for every dollar you pay in the first option. So 36 ounces for 3.79 dollars is the way to go.
what are the sides of the isosceles triangle
mylar balloons cost $1.25 each, and latex balloons cost $0.75 each. What equations can be used to find the number of each type of balloon in a bunch of 18 balloons that cost $19?
Answer:
Mylar Ballons: 11
Latex Balloons: 7
Step-by-step explanation:
1.25 times 11 equals 13.75
.75 times 7 equals 5.25
5.25+ 13.75 equals 19
11 + 7 equals 18.
Hope this helps you :)
Penelope is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 5 points. What would be Penelope's test score (out of 40) if she got 3 questions wrong? What would be her score if she got x x questions wrong
Answer:
see below
Step-by-step explanation:
She got 3 questions wrong
3*5 = 15
She missed 15 points
40-15 = 25
She got 25 points right
25/40 =.625 =62.5%
If she got x questions wrong
5x is the points missed
40 -5x is the points correct
(40-5x)/40 = score
Answer:
25pts
Step-by-step explanation:
The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?
10 minutes
20 minutes
30 minutes
40 minutes
Answer:
40 mins
Step-by-step explanation:
Answer:
The answer is correct, it is 40 minutes.
Step-by-step explanation: Edge 2021
The mass of Neptune is 1.030 x 1026 kg and the mass of Mars is 6.421 x 1023 kg.
How many times larger in mass is Neptune than Mars?
the expression as an inequality for the statement above is:
Answer: S > =85000
Reason: its says "atleast"
I NEED HELP EXPLAINING HOW I GOT MY ANSWER ILL GIVE 100 POINTS PLEASEEE?!?!?
Answer:
[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]Step-by-step explanation:
S = 2πr² + 2πrh
Move 2πr² to the left side of the equation
That's
2πrh = S - 2πr²
Divide both sides by 2πr to make h stand alone
That's
[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2πr²}{2\pi r} [/tex]We have the final answer as
[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]Hope this helps you