Answer:
Lafayette Square is about 5688.89 square yards
Step-by-step explanation:
The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1; 2 inches to one 1
Given the actual park is 160 feet wide ( need this measurement in inches).
so the actual part is 160 · 12 = 1920 inches wide.
Using the ratio long/ wide = long/ wide 2/1 = ?/1920. The part is 3840 inches long.
Answer need to be in yards: divide by 36 because 36 inches = 1 yard.
Long = 3840/36 = 320/3 yards
wide = 1920/36 = 160/3 yards
Actual area = L · W
= (320/3)·(160/3)
= 51200/9
= 5688.89 square yards
8. A submarine's elevation is -14.5 feet relative to sea level. A shark is
swimming at an elevation -56.8 feet. What is the difference in elevation
between the submarine and the shark?
a) 71.3 feet b) 56.8 feet c) 42.3 feet d) 14.5 feet
Answer:
C.)42.3
Step-by-step explanation:
If it's difficult to do subtraction with negatives, switch them to positive and subtract 14.5 from 56.8. In order to get a lesser negative number(negatives closer to -1 are greater), you have to add a positive number. My math teacher taught me this simple but effective method. This method is used for multiplication and division but it helps:
(Hate=Negative and Love=Positive)
If you hate to hate, you love.(neg. x neg=pos.)
If you hate to love, you hate(neg. x pos.=neg.)
If you love to love, you love(pos. x pos.=pos.)
If you love to hate, you hate(pos. x neg.=neg.)
c) 42.3 feet
Step-by-step explanation:
Is known :
A submarine's elevation is -14.5 feet relative to sea level. A shark isswimming at an elevation -56.8 feet.Asked :
What is the difference in elevation between the submarine and the shark?.Aswered :
A submarine's elevation is -14.5 feet relative to sea level - A shark isswimming at an elevation -56.8 feet
= (-14,5) - (-56,8)
= 42,3
"Find the measures of two supplementary angles if their measures are 3:7
Since the ratio is 3:7 we can assume that the angles are equal to 3x and 7x?"
3x+7x=180° (180° since a line is equal to that)
then solve
10x=180
x=18
then substitute x=18 in 3x and 7x
3x=54°. 4x=126°
126° and 54°
Let the two angles be 3x and 7x.
Supplementary angles add up to 180 degrees.
Therefore:
3x + 7x = 180
10x = 180
x = 18
3x = 3 * 18 = 54
7x = 7 * 18 = 126
Answer:
The two angles are 54 degrees and 126 degrees.
Find the value of X please and thank you :)
Answer:
143 degrees
Step-by-step explanation:
The shape is a hexagon therefore the total angle will be 720 degrees.
The sum of the total angle of the shape is 434 degrees
So to get the answer the equation is:
434 + x + x = 720 degrees
So x = 143 degrees.
Isn't 3 1/2 instead of three and Caleb wrote 1/4 of the song?
Answer:
Need a bit more context
Step-by-step explanation:
-79=7w+3(4w-1) help quick with steps
Answer:
-4=w
Step-by-step explanation:
-79=7w+12w-3
-79=19w-3
-79+3=19w-3+3
-76=19w
-76÷19=19w÷19
-4=w
Answer:
w = -4.
Step-by-step explanation:
-79 = 7w + 3(4w - 1)
7w + 12w - 3 = -79
19w = -76
w = -4.
Question
Francie rode her bike for 2.5
hours at 12 miles per hour. How far did she ride?
Answer:
30 miles
Step-by-step explanation:
2.5 h
12 miles per hour
12x2.5=30
The cost of 12 pounds of apples costs $35.50. What is equation for the cost in dollars, d, for the cost of a pound, p of apples
Answer:
12p = 35.50d
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
The digits in 5512 are rearranged to form all possible 4-digit positive integers. Find the last three digits of the sum of all such positive integers.
Answer:
329Step-by-step explanation:
There are possible:
4*4 = 16 4-digit numbers and since 5 is repeated, the number becomes:4*3 = 12The numbers are:
125515251552215525152551512551525215525155125521The sum is:
43329The last 3 digits of the sum is 329
Adam volunteers once a month to make meals for the elderly. He has 81 pieces of chicken, 27 pieces of corn, and 54 rolls.
Each plate must have exactly the same number of pieces of each food item and all the food must be used.
What is the greatest number of plates he can make?
Answer:
27 plates
Step-by-step explanation:
81 ÷3=27 chicken pieces
27 pieces of corn (one piece of corn per plate)
54÷2=27 two pieces of bread per plate
Sasha goes on a cave tour with her family. She spots a mysterious crystal that is shaped like a cube. The crystal has edge lengths of 5 centimeters. What is the volume of the crystal?
Answer:
Sasha
Step-by-step explanation:
Sasha should figure out what the volume of the crystal is by herself.
oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. what was the total average speed
90 miles + 120 miles = 210 total miles
1.5 hours + 3 hours = 4.5 total hours.
Average speed = total distance / total time
Average speed = 210 miles / 4.5 hours = 46 2/3 miles per hour
The total average speed for Oliver is 42 miles per hour
Given the following data:
Distance A = 90 milesDistance B = 120 milesTime A = 1.5 hoursTime B = 3 hoursTo find the total average speed:
First of all, we would determine the total distance and total speed:
[tex]Total \; distance = Distance\;A + Distance\;B\\\\Total \; distance = 90+120\\\\Total \; distance = 210\;miles[/tex]
[tex]Total \; time = Time\;A + Time\;B\\\\Total \; distance = 1.5+3\\\\Total \; distance = 4.5\;hours[/tex]
Mathematically, the average speed is given by the formula:
[tex]Average\;speed = \frac{Total\;distance}{Total\;time}[/tex]
Substituting the parameters into the formula, we have;
[tex]Average\;speed = \frac{210}{4.5}[/tex]
Average speed = 42 miles per hour.
Read more: https://brainly.com/question/17742679
10 + 10+ 10 = 4x
What does x equal?
Answer:
x=7.5
Step-by-step explanation:
10+10+10=4x
30=4x
x=7.5
Answer:
x=7.5
Step-by-step explanation:
First you would simplify:
30=4x
Next isolate x:
30/4=x
again, simplify:
7.5=x or, 7 1/2=x
in an 16 ounce bag there are 24 pretzals. how many pretzals will be in a 5 ounce bag
Answer:
about 7 pretzels
7.5 pretzels
Step-by-step explanation:
24 pretzels / 16 ounces = x / 5 oz
solve for x:
x = 5 oz * (24 pretzels / 16 oz)
oz cancels
x = 7.5 pretzels
7.5 pretzels, or roughly 7 pretzels
The scale on a map is 2cm =70 miles. If the distance between two cities measure 5.8cm on the map what is the actual distance
Answer:
203cm
Step-by-step explanation:
I think that's the answer bc 70divided by 2=35
35x5.3 =203cm
Alice got these scores in her exam English 45 out of 50. music 45%. art 25 out of 40. maths 85% which subject did Alice get her highest and lowest scores in .
Answer:
English: 45/50 = 0.9 = 90%
Music: 45%
Art: 25/40 = 0.625 = about 63% (if you round up)
Math: 85%
As you can see: English - highest | Music - lowest
Alice got her highest score in Maths, and her lowest score in Music.
To find out which subject Alice got her highest and lowest scores in, let's compare the scores in each subject.
English: 45 out of 50 = 45/50 = 0.9 (90%)
Music: 45 % = 45/100 = 0.45
Art: 25 out of 40 = 25/40 = 0.625 (62.5%)
Maths: 85 % = 85/100 = 0.85
Now, we can see that the highest score is in Maths (85%) and the lowest score is in Music (45%).
So, Alice got her highest score in Maths, and her lowest score in Music.
Learn more about percent here
https://brainly.com/question/21286746
#SPJ2
35 divided by 8693 long division or decimal form thank u
Answer:
0.004026228
Step-by-step explanation:
[tex]\frac{35}{8690} \\\\[/tex]
we would add zeros past the decimal point to the 35 to get
35.0000/8690
then 8690 goes into 35000 4 times and so on so forth until you get the answer 0.004026228
its easier to explain with the long division form where you can show the subtraction and carrying completely
Graph the line with slope -1/3 passing through the point (2, 1).
Answer:
Step-by-step explanation:
y = mx + b
y = -x/3 + b
1 = -2/3 + b
b = 5/3
y = -x/3 + 5/3
Find the product. 43x8= ( 40=3) x 8
Answer:
=344
Step-by-step explanation:
(43)(8)
=344
help this is hard for me, please..I give brainliest
also this is 20 points
Answer:
-14 Mexican pesos means you have a debt of $0.67 at today's exchange rates.
Step-by-step explanation:
Can you guys show me where they went wrongg
9514 1404 393
Answer:
43.70 ft
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. The correct computation is ...
Hypotenuse is √(7² +7²) = √(49 +49) = √98 = 7√2
Perimeter of pentagon is ...
7 +7√2 +7√2 +7√2 +7 =
7 +21√2 +7 =
14 +21√2 ≈ 14 +29.70 =
Perimeter is approximately 43.70 ft.
__
There are two errors:
side lengths were used instead of their squares to find the hypotenusecontents of radicals were added, rather than coefficients of themBoth errors are easy to find if you know what the computation is supposed to look like.
The Pythagorean theorem involves a sum of squares.
Michael bought 8 new Pokemon cards to add to his collection.
The next day his dog ate half of his collection. There are now only
40 cards left. How many cards did Michael start with?
Answer:
72
Step-by-step explanation:
I like to work backward with problems like these. I'll start out with 40. Then it says that his dog ate half of this number. Instead of dividing by 2, I'll have to multiply by two since I'm working backward.
So, now I have 80, the number of cards he had before his dog ate half of the collection. We also see that he bought 8 new Pokemon cards and added these two his collection. Instead of adding 8, I'll subtract 8 from 80, giving me 72. So, this is his original amount.
If I take this number and go back through the scenario, I can check my work.
72 + 8 = 80, 80/2 = 40
Jared is behind on his math homework. He has 12 lessons of math to do before Monday. He
can answer two math problems each minute. If a typical lesson has 25 problems, how much
time should he expect to spend doing his math? Show all work and show your answer in
hour and minutog
Step-by-step explanation:
the numbers of the problems =
12 × 25 = 300
each minute he can answer 2 problems
therefore, the time that he expect to finish the problems =
300/2 × 1 minute = 150 minutes
= 2 hours and 30 minutes
2 questions he can solve 1 min
per question he need 1/2min or 0.5min
Now
Total problems
25(12)300Total time
300(0.5)150min2h 30min9/2 divided by 2/9=_ the lesson is called dividing fractions
What is the solution set of {x | x < -3} ∩ {x | x > 5}?
A. the empty set
B. all numbers except -3 and 5
C. all real numbers
D. the numbers between -3 and 5
2.
What is the solution set of {x | x < 2}U{x | x ≥ 2}?
A. all numbers less than -2 and greater than 2
B. all real numbers
C. the empty set
D. the numbers between -2 and 2
3.
Which of the following describes the graph of {x | 1 < x < 2}?
A. open circles on 1 and 2, line segment between
B. open circles on 1 and 2
C. open circles on 1 and 2, arrows pointing out
D. no solution
Answer:
1) A, 2) B, 3)AStep-by-step explanation:
#1
Intersection of the two given sets is the empty set as the sets cover two different intervals without common elements.
Correct choice is A
#2
Assume there is a union sign between sets.
The union of the two sets is both of them.
Correct choice is B
#3
Both the points are excluded, so both ends are open circles and the graph covers the interval between them.
Correct choice is A
Your answers would be:
1.) A
2.) B
3.) A
Solve for x: 3- (2x-5)<-4(x+2)
Answer:
x < -8 orx ∈ ( - ∞, - 8)Step-by-step explanation:
3 - (2x - 5) < - 4(x + 2)3 - 2x + 5 < -4x - 84x - 2x < - 8 - 82x < - 16x < - 8or
x ∈ ( - ∞, - 8)[tex]\\ \sf\longmapsto 3-(2x-5)<-4(x+2)[/tex]
[tex]\\ \sf\longmapsto 3-2x+5<-4x-8[/tex]
[tex]\\ \sf\longmapsto -2x+8<-4x-8[/tex]
[tex]\\ \sf\longmapsto 2x-8<4x+8[/tex]
[tex]\\ \sf\longmapsto 2x-4x<8+8[/tex]
[tex]\\ \sf\longmapsto -2x<16[/tex]
[tex]\\ \sf\longmapsto 2x<16[/tex]
[tex]\\ \sf\longmapsto x<-8[/tex]
Please help i need help
Answer:
10x^3+16
Step-by-step explanation:
f(g(x)) means that for that for "x" number of tickets, he is making that amount.
Hope this helps
Whats x for both of these equations
Answer:
x = (-1)y = 3Step-by-step explanation:
y = -2x + 1
y = x + 4
2x + y = 1 _______(1)
-x + y = 4_______(2)
[tex] - x + y - (2x + y) = 4 - 1 \\ - x + y - 2x - y = 3 \\ - 3x = 3 \\ x = \frac{3}{ - 3} \\ x = - (1) \\ [/tex]
x = (-1),
[tex]2x + y = 1 \\ 2( - 1) + y = 1 \\ - 2 + y = 1 \\ y = 1 + 2 \\ y = 3 \\ [/tex]
2
f(x) = -x2+x+6
-2
a
-1
4
0
b
1
6
2
с
a=
b =
C=
12) Triangle DEF is the image of triangle ABC
after a series of rigid motion transformations.
B
A
F
D
E
Which one of the following statements is true?
1) The measure of angle A is the same as the
measure of angle E.
2) Segment AC has the same length as
segment DF.
3) One transformation in the series must have
been a dilation.
4) Segment EF is congruent to segment AC.
Step-by-step explanation:
the correct answer is :
2) Segment AC has the same length as segment DF
Don is 6 feet tall. At a given time of day, he measures his shadow to be 10 feet long.
At the same time, he measures the shadow length of a nearby tree to be 38 feet. How
tall is the tree?
Round your answer to the nearest whole foot.
Answer:
Ok, so with this problem, you would start with the equation 6/10=x/38.
Then, cross multiply:
38(6)=10x
After, you would:
38 x 6 = 228
Then:
228/10
Lastly:
x=22.8m which when rounded equals 23 ft.