The actual distance is: 17500mm
What is a map scale?A map scale is used to show the relationship between the distance on the map and the distance on the earth.
Analysis:
The scale 1:500 is a reduction scale, it means every 1 mm on the map represents 500mm on the ground
So if 1mm on the map represents 500mm on the ground, then 35mm on the map would be 500 x 35 = 17500mm
In conclusion, the actual distance between the two hidden treasures is 17500mm.
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Warren's window store made a mosaic for the community center. The mosaic had an 8 x 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole
mosaic?
The prime factorisation of √169 is?
Answer:
Square root of 169 by Prime factorization is 13×13
Answer:
13*13
Hope this helped!
Select all the correct answers. Which expressions are equivalent to the given expression? √40
Answer:
2√10
Step-by-step explanation:
√40=√4 x 10
2√10
The volume of a right cone is 3000π units^3. If its radius measures 15 units, find its height.
Answer:
40 unitsStep-by-step explanation:
In the question, it is given that a right cone has a radius of 15 units and volume of 3000π units³ and we have to find the height of the cone.
[tex] \: [/tex]
To Find the height of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi {r}^{2}h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times {(15)}^{2} \times h = 3000 \pi}}}}}}} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times {(15)}^{2} \times h = 3000 \cancel\pi}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times 225 \times h = 3000}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{225}{3} \times h = 3000}}}}}}} \\ \\[/tex]
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf 75 \times h = 3000}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf h = \frac{3000}{75} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h =40 }}}}}}} \\ \\[/tex]
Therefore,
The height of the cone is 40 units .What is the domain of the profit function P = 7m + 12n?
O A. Defined for all m> 0 and n_>0
B. Defined for all m _>0 and n > 0
C. Defined for all m> 0 and n > 0
D. Defined for all m _> 0 and n _> 0
Answer:
D
Step-by-step explanation:
without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).
and so,
Defined for all m >= 0 and n >= 0.
there is no information provided that would eliminate m = 0 or n = 0.
What is the surface area?
2 mm
9 mm
3 mm
Answer:
Surface area of rectangular prism
=P×h
=2(l+w)×h
=2(3+9)×2
=48mm²
[tex] \boxed{ \frak{Answer}}[/tex]
Given,
Length (l) = 9 mm
Breadth (b) = 3 mm
Height (h) = 2 mm
To find: The surface of it.
We, know that
Surface area of a cuboid = 2(lb + bh + lh)
By using the formula,
= 2(lb + bh + lh)
= 2(9*3 + 3*2 + 9*2)
= 2( 27 + 6 + 18)
= 2(51)
= 102 mm²
Therefore the required surface area is 102 mm²[tex] \boxed{ \frak{Keep \: Learning }}[/tex]
(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A. 2/3 B. 1/3 C. 1/6 D. 1/2.
WILL GIVE 100 POINTS IF CORRECT!!! ):D
Answer:
D
Step-by-step explanation:
assuming a 6 sided die half of the die is above 3 so 1/2
Find two pairs of integers whose product is -20.
Answer:
-10 x 2 and -5 x 4
Step-by-step explanation:
An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.
Applicable equations:
-10 x 2 = -20
10 x (-2) = -20
-5 x 4 = -20
5 x (-4) = -20
-1 x 20 = -20
1 x (-20) = -20
John writes 2 1/3 pages in an hour. Going at the same speed, how many pages he can write in 5 1/7 hours?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - John writes [tex]\underline{\: 2\frac{1}{3}}\\[/tex]pages in an hourTo find - number of pages he can write in [tex]\underline{5\frac{1}{7}}\\[/tex]hoursthis question can be easily solved by using unitary method ~
[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]
hope helpful ~
It takes3/4 cup of sugar to make a loaf of bread how much sugar would you need to make 16 loaves of bread
Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12
More depth explanation:
Multiple: 3/
4
* 16 = 3 · 16/
4 · 1
= 48/
4
= 12 · 4/
1 · 4
= 12
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/
1
.
In other words - three quarters multiplied by sixteen = twelve.
help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.
Answer:
57 miles.
Step-by-step explanation:
to find
⇒ total number of miles dana ran
given
⇒ monday = 10.2 miles
⇒ tuesday = 11.4 miles
⇒ wednesday and thursday = 11.8 miles
⇒ friday = 12.3 miles
∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3
⇒ 57.5
⇒ 57 miles
Find the distance between the following sets of points: a. (2, −4) and (2, 3) b. (−3, −2) and (−3, 0) c. (1, 4) and (−5, 4) d. (−2, 0) and (−3, 0) e. (4, −6) and (4, −2) f. (5, 1) and (1, 1)
Answer:
Step-by-step explanation:
Distance between set of points parallel to x-axis and y-axis.a) (2,-4) and (2 , 3)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -4-3 I = I -7I = 7 units
b) (-3,-2) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I-2 -0 I = I -2 I = 2 units
c) (1,4) and (-5,4)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6
d) (-2,0) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit
e) (4,-6) and (4,-2)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units
f) (5,1) and (1 , 1)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance= I5 - 1 I = I 4 I = 4 units
Please help me do this assignment
I hope this will help you a lot..
Answer:
(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).
Step-by-step explanation:
x⁶+3x⁴y⁴+xy⁶
1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;
d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);
df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;
2) finally
(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).
Write a slope-intercept equation for a line that passes through (-3, 5.5) and (0, 5.5)
The slope-intercept equation for the line is
(Use integers or decimals for any numbers in the equation.)
Answer:
y-5.5=0 * (x+3)
Step-by-step explanation:
I need help asap I'm not good at math and this makes no sense
Answer:
Total Volume grain elevator holds - 20357.52
Volume needed for 100-acre field - This is all you need to find. If the volume is more than what the grain elevator can hold than there will need to be a rented one as well. If the volume of the grain is lower than what the grain elevator holds, than that's all you need.
Step-by-step explanation:
You have to find how much volume you would need to hold harvest from a 100-acre field.
Then you have to find how much volume is in the grain elevator.
In order to find the volume of the grain elevator you have to divide it up by the cylinder and the cone.
Cone volume - V=πr^2(h/3)
V=2035.75
Cylinder volume - V=πr^2h
V=18321.77
How much interest will linda pay for a loan of N850 at the rate of 15% in 2years
Answer:
850 ( 2 multiply by 15 divide by 100)
850 ( 2 multiply 0,15)
850 multiply 0,3
= R255, 00
Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I
Answer:
the value of cos is 26
k =14
j=30
Step-by-step explanation:
mark me as brainlist
Create an equation to convert X feet into y miles
Answer:
y = x/5280
Step-by-step explanation:
y miles = x feet / 5280
A line passes through the points (-4,8) and (3,-7). Answer all parts of the question. Part A: what is the slope of the line that passes through these points (-4,8) and (3,-7).
Answer: [tex]y=\frac{-15}{7}x-\frac{4}{7}[/tex]
Slope: -15/7
y-int:-4/7
Step-by-step explanation:
slope: rise/run
[tex]\frac{x^2-x^1}{y^2-y^1}[/tex]
[tex]\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}[/tex]
thats the answer :)
~rere
Mike put 210 baseballs into 7 trash bins. He put the same number of baseballs in each bin. He took 2 trash bins of baseballs to the
baseball field. How many baseballs did Mike take?
A. 30
B. 896
C. 90
D. 60
Answer:
D. 60
Step-by-step explanation:
210 baseballs divided evenly between 7 trash bins = 30 balls per bin
2 trash bins multiplied by 30 balls per bin = 60 balls in two bins
Hope this helps!
What is 75% of 99. Round your answer to the nearest hundredths.
Answer: 74.25
Step-by-step explanation:
75% ÷ 100 = 0.75
0.75 * 99
= 74.25
edmentum, end of semester test, geometry A, answer key ,please anyone?
The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:
|C-78|=2.5
What will be the end of semester test?From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.
From the question statement, we can easily the information thatSam tends to use an industrial kitchen to bake several batches of his famous chocolate chip bars.Also, it is mentioned that he needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces.Mathematically, it means:
|C-78|=2.5
Hene, the reqired equation will be :|C-78|=2.5
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The inverse of the function f(x) = 1/2x+10?
Answer:
f'(x) = 2x - 20
Step-by-step explanation:
f(x) = 1/2 x + 10
Switch x and y.
y = 1/2 x + 10
Solve for y by itself.
x = 1/2 y + 10
x - 10 = 1/2 y
y = 2 * (x - 10)
f'(x) = 2x - 20
Select the correct answer.
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely with the number of
medium pizzas made.
If they need to make 32 medium pizzas, the dough will last 5 hours. How long will the dough last if they need to make 40 pizzas?
OA 2.75 hours
OB. 4 hours
OC.
8 hours
OD. 6.25 hours
The length of time needed for the dough to last if 40 pizzas is required is 4 hours.
Inverse variationlet
length of time = lnumber of pizza = pl = k / p
where,
k = constant of proportionality
If l = 5 and p = 32
l = k / p
5 = k / 32
5 × 32 = k
160 = k
Find l when p = 40
l = k / p
l = 160/40
l = 4 hours
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units and Lino Plots
More
Bags of Oranges
х
Jordan fills several bags with oranges. This line plot
shows the weight of each bag.
How many more pounds does one of the heaviest
bags weigh than one of the lightest bags?
Enter your answer as a mixed number by filling in the
boxes.
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х
х
х
х
х
х
х
xx
xx
X X
X X
X X X
х
х
х
х
х
х
х
х
X
8
8
4 44 45 46 45 5 5 5 5 5
55 55
Weight (lb)
Ib
1
2
3
4
4
5
6
1
Answer:
1 1/8 or 9/8
Step-by-step explanation:
5 1/2 - 4 3/8 = 1/ 1/8
PLEASE HELP 20 POINTS!!
[tex]\text{First term,} ~a = 72\\\\\text{Common ratio,}~ r = \dfrac{-36}{72} =-\dfrac 12 \\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac a{1 - r}\\\\\\~~~~~= \dfrac{72}{1+ \dfrac 12}\\\\\\~~~~~=\dfrac{72 }{\tfrac 32}\\\\\\~~~~~=\dfrac{72 \times 2}3\\\\\\~~~~~=48[/tex]
Series: 72 - 36 + 18 - 9 +...
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 72 - 36r = (18-9) ÷ (72-36) = 1/4Solve:
[tex]\rightarrow \sf S \infty \ =(72-36) \ x \ \dfrac{1}{1-\frac{1}{4} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This series has a sum of 48.
What is the value of 50 x 3 - 120 / 40
Answer:
The answer is 150-3
That is 147
Step-by-step explanation:
Do This
(50 x 3)-(120/40)
150-3
147 is your answer
Which number line represents the solution set for the inequality 3x < –9?
Answer:
oh
Step-by-step explanation:
Solve x^2 - 3x + 5 = 0.
Answer: A
Step-by-step explanation:
x^2 - 3x + 5 = 0 - quadratic equation
Standard quadratic equation form: a^2 + bx + c = 0
Here a = 1, b = -3, c = 5Discriminant formula: D = b^2 - 4acD = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)
x1 = (-b - sqrt(D)) / (2*a)x2 = (-b + sqrt(D)) / (2*a)x1 = (3 - sqrt(-11)) / 2
x2 = (3 + sqrt(-11)) / 2
Solve the equation. Need HELP!!!
Answer:
[tex]m = 0.664[/tex]
Step-by-step explanation:
We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.
[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]
Answer: Heyaa! :D
Your Answer Is... m= 0.664
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hopefully this helps you!
-Matthew (HAVE AN AMAZING DAY)
