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Work Shown:
(1 inch)/(40 miles) = (5 inches)/(x miles)
1/40 = 5/x
1*x = 40*5 .... cross multiply
x = 200 miles
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We could also look at it like this:
1 inch = 40 miles
5*(1 inch) = 5*(40 miles) .... multiply both sides by 5
5 inches = 200 miles
Tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente. ¿Al cabo de una semana cuántas personas han participado en la cadena? ¿Finalizado el quinto día cuánto dinero se ha donado?
Answer:
Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Step-by-step explanation:
Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:
3^7 = X
2,187 = X
(3^5) x 5000 = X
243 x 5000 = X
1,215,000 = X
Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Which expression is equivalent to (x^-6/x^2)^3
1/x
1/x^5
1/x^9
1/x^24
Step-by-step explanation:
1/x^24 is the correct expression
20 divided by 34 HEEEEELPPPPPPPPPPP
Answer:
0.58823529411
Answer:0.8
Step-by-step explanation:
Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the specific dust, how many grams would they have after 2 days?
Answer: [tex]1.663\times 10^{30}\ gm[/tex]
Step-by-step explanation:
Given
Population of dust particle doubles every 30 minutes
If the initial sample is 21 grams
The model to predict the population will be
[tex]\Rightarrow P=21\cdot 2^{2t}[/tex]
Where t=time in hours
A day has 24 hours . So, for 2 days time is 48 hours
Population is given by
[tex]\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm[/tex]
how do I find the value of e any help please
Answer:
97
Step-by-step explanation:
360-117-146 is 97
Gimmi brainest answer :)
Find the volume of a rectangular prism with a length of 9 cm, a height of 13 cm, and a width of 7 cm.
923 cm3
819 cm3
910 cm3
950 cm3
Answer:
819 cm³
Step-by-step explanation:
V=L·H·W
V=9·13·7
V=819 cm³
Answer:
819 cubic cm/ cm3
Step-by-step explanation:
The formula to finding the volume of any prism is V=bh.
Going by this formula, we first will solve for the base.
The formula for a rectangular base is B=LxW.
In your question the length is 9 and the width is 7.
So let's plug this in our base formula: 9x7
Now by simplifying by multiplying the two, we will get a product of 63.
So now our expression is 63h
We now must plug in the height.
According to your question, h=13.
So lets plug it all in.
63(13)
Multiply the two and you get 819.
Since we are finding a volume, this can be labeled as cubic cm or cm3 in your terms.
A gum ball machine has 6 red gum balls, 3 green gum balls, and 5 blue gum balls. What is the probability that the next gum ball that comes out will be red?
Answer:
Step-by-step explanation:
P(red gum ball)= 6/14=3/7
6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.
P(red gum ball)=3/7
In order to simulate conditions near roads treated with road salt, scientists raised wood frog tadpoles in a high concentration of salt, and tadpole survival was measured. The survival rates for 5 replicates were 32, 37, 41, 45, and 50 percent. The sample mean for these values is 41 percent, and the sample variance is 48.5 percent squared. Determine the standard error of the sample mean for this data set.
Answer:
[tex]SE_{\bar x} = 0.311[/tex]
Step-by-step explanation:
Given
[tex]n=5[/tex]
[tex]\bar x = 41\%[/tex]
[tex]\sigma^2= 48.5\%[/tex] --- variance
Required
The standard error of the sample mean
This is calculated as:
[tex]SE_{\bar x} = \frac{\sigma}{\sqrt n}[/tex]
This can be rewritten as:
[tex]SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}[/tex]
So, we have:
[tex]SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}[/tex]
Rewrite as:
[tex]SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}[/tex]
[tex]SE_{\bar x} = \sqrt{0.097}[/tex]
[tex]SE_{\bar x} = 0.311[/tex]
Can someone help me !!
Which of the following points is not a solution of the system shown?
x ≥ 7
y ≤ x + 7
(7, 15)
(8, 14)
(7, 7)
Answer:
(7,7)
is not solution of following point
Cary sets up a checking account with an initial balance of $27,700, and the rent for her
apartment is deducted every month for a year. After a year the balance is $7900
(Assume no other transactions occur on the account)
Answer:
$1,650
Step-by-step explanation:
First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650
what is the anser for 194*33333
(the answer is) = 6466602
PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 3 metres.
Work out d (rounded to 2 DP) when F=0.035 Newtons.
Answer:
1.24 m
Step-by-step explanation:
F ∝ 1/d²
F = k/d²
Use values given to solve for k
0.006 = k/3²
k = 0.054 (I multiplied both sides by 3² in the equation above)
New equation is F= 0.054/d²
Plug in your numbers so 0.035 = 0.054/d²
0.054/0.035 = d²
You can simplify if you want so d² = 54/35
Square root both sides to solve for d
√54/35 = 1.24 m
Helen draws a random circle
she then measures it diameter
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
Use the diagram to find cos x as a fraction
in simplest form.
the cone and cylinder above have the same radius and height the volume of the cone is 222 cubic cm what is the volume of the cylinder
Answer:
Step-by-step explanation:
volume of cone v=1/3πr²h
volume of cylinder V=πr²h
V=3v
volume of cylinder=3×222=666 cubic cm.
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
A. Find the center of the circle
B. Find the radius. if your answer is not an integer, express it in radical form.
C. Write an equation for the circle
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
find the eighth term of an arithmetic sequence if the first term is 5 and the common difference is 6
Answer:
47
Step-by-step explanation:
Formula for finding nth term of an arithemetic sequence is:
tn = t1 + (n-1) d
Where t1 is the first term, n is the specific term, and d is the common difference.
Plug numbers into the formula and solve:
t8 = 5 + (8-1)6
t8 = 47
Which equation describes the line graphed above?
Use the slope formula to find the missing coordinate.
m = -7/2 , T(13, 2), W(_, -5)
-11
15
11
15
Answer:
Solution given;
m = -7/2 , T(13, 2), W(_x, -5)
m=(y2-y1)/(x2-x1)
-7/2=(-5-2)/(x-13)
-7/2=-7/(x-13)
doing crisscrossed multiplication
x-13=2
x=2+13
x=15
Answer:
the answer is 15
Step-by-step explanation:
correct me if I'm wrong thanks
HELP PLEASE I need an answer ASAP
Answer:
72/97
Step-by-step explanation:
take angle c as reference angle
to find sin c
sin c = opposite / hypotenuse
sin c = 72 / 97
Answer:
i dont know
Step-by-step explanation:
Which fraction is equal to 0.13?
Answer:
13/100
Step-by-step explanation:
0.13 = 13/100
if you need more examples, 26/200, 39/300, 52/400 is all equal to 0.13 as well.
Traci spent hour eating breakfast and
į hour helping clean up after breakfast.
How much time did she spend in all?
Give your answer in simplest form.
hour
Enter
Plz help
Given y= -5x^2 +30x -9, find the axis of symmetry.
x= -30
x= 6
x= 3
x= -3
Answer:
8
Step-by-step explanation:
pls mark me brainliest
-5(x²-6x+9)+45-9
-5(x-3)²+36
Standard form
y= a(x-p)²+q
a=-5,p= 3 and q=36
axis of symmetry :x= p
=>x= 3
Hope it helps you...
I I don’t understand this could someone try it’s geometry
Answer:
1)BX = 20
2)MT = 23.3
3)QD = 14.4
4)SN = 23.5
5)XZ = 36
6)DF = 24
7)BD = 43.8
8)HZ = 12
9)UW = 40
10)CS = 11.6
Step-by-step explanation:
1) BX = 1/2(VX) = 40/2 = 20
2)MT = 1/2(RT) = 46.6/2 = 23.3
3) QD = BQ = 14.4
4)LS + SN = 23.5
5)XH = 1/2(XZ) = 18 * 2 = 36
6)DG = 1/2(DF) = 12 * 2 = 24
7)BJ = 1/2(BD) = 21.9 * 2 = 43.8
8)XH = HZ = 12
9)UW = 2(UJ) = 20 * 2 = 40
10) CS = 1/2(US) = 23.2/2 = 11.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
transforma in metri:
a) 7 dam
b)350 dm
c) 57 000 mm
d) 0,5 km
e)750 cm
f) 5,7 dam
Answer:
a) 70 m
b) 35 m
c) 57 m
d) 500 m
e) 7.5 m
f) 57 m
Step-by-step explanation:
10 dm = 100 cm = 1 m.
1 dam = 10 m
1 km = 1000 m
100 cm = m
Correct ☑ ✔ Question :-
Transform in metre
a) 7 dam
b) 350 dm
c) 57000 mm
d) 0.5 km
e) 750 cm
f) 5.7 dam
Solution ✔a) 7 dam
1 dam = 10 m
so, 7 dam = 7 × 10 m = 70 m
b) 350 dm
10 dm = 1 m
so, 350 dm = 350/10 = 35 m
c) 57000 mm
1000 mm = 1 m
so, 57000mm = 57000/1000 = 57 m
d) 0.5 km
1 km = 1000 m
0.5 km = 1000 × 0.5 = 500 m
e) 750 cm
100 cm = 1 m
750 cm = 750/ 100 = 7.5 m
f) 5.7 dam
1 dam = 10 .
5.7 dam = 5.7 × 10 = 57 m
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.
Prove ΔABC ∼ ΔGEF.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]
By vertical angles:
[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]
Hence, by substitution:
[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]
Then by Angle-Angle Similarity:
[tex]\Delta ABC \sim \Delta GEF[/tex]
A container in the shape of this cuboid holds 2 litres of water.
The container has a square base.
Its height is double the length of each edge on its base.
Work out the height of the container, in cm.
Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
[tex]h=2x[/tex]
The volume of a cuboid is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get
[tex]2000=x\times x\times 2x[/tex]
[tex]2000=2x^3[/tex]
Divide both sides by 2.
[tex]1000=x^3[/tex]
Taking cube root on both sides.
[tex]\sqrt[3]{1000}=x[/tex]
[tex]10=x[/tex]
Now, the height of the container is:
[tex]h=2x[/tex]
[tex]h=2(10)[/tex]
[tex]h=20[/tex]
Therefore, the height of the container is 20 cm.
Maggie started collecting teacups on her 13th birthday when she was given 4 teacups. She has purchased a new teacup every month since then. How many teacups will she
have on her 17th birthday?
A.52
B.64
C.38
D.48
Answer:
A. 52
Step-by-step explanation:
Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.
There are 12 months in a year, so multiply 12 by 4:
12(4)
= 48
So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.
Add this to the 4 teacups she got on her 13th birthday:
48 + 4
= 52
So, on her 17th birthday, she will have A. 52 teacups
Find the missing angle
Answer:
x = 72.09555249
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan x = opp / adj
tan x = 65/21
Taking the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 ( 65/21)
x = 72.09555249