Answer: 315 miles
Step-by-step explanation: First divide 10.5 and 3.
10.5 / 3 = 3.5
Then multiply that by 90.
3.5 x 90 = 315
The actual distance in miles between the cities is 315 miles.
Given,
On the map the distance between two towns is 10.5 cm.
If 3 cm represents 90 miles what is the actual distance between the cities in miles?
How to compare two quantities?We need to multiply in such a way that we get the required expression in one side of the equation.
Example:
If 9 apples in 3 baskets.
9 apples = 3 basket.
In 2 basket we have,
3 basket = 9 apples
Multiply 2/3 on both sides.
2/3 x 3 basket = 2/3 x 9 apples
2 basket = 6 apples.
We have,
Distance between two towns = 10.5 cm
3 cm represents 90 miles.
We can write it as:
3 cm = 90 miles
Multiply 10.5/3 on both sides
10.5/3 x 3 cm = 10.5 / 3 x 90 miles
10.5 cm = 10.5 x 30 miles
10.5 cm = 315 miles
Thus the actual distance in miles between the cities is 315 miles.
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A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.
Answer:
$21.2
Step-by-step explanation:
From the problem given, we express them as algebra so that we can easily solve;
the total charge on a call greater than 120min is given as;
120x + y(n - 120) = total cost of call
where n is the number of minutes which is greater than 120;
Ethan paid $26.80 for 175 minsn = 175min here;
120x + y(175 - 120) = 26.80
120x + 55y = 26.80 ----- (I)
$32.40 for 210 minutesn = 210min
120x + y(210 - 120) = 32.4
120x + 90y = 32.4 ----- (II)
Now let us solve both equations for y and x;
120x + 55y = 26.80 ----- (I)
120x + 90y = 32.4 ----- (II)
subtract the two equations;
90y - 55y = 32.4 - 26.8
35y = 5.6
y = [tex]\frac{5.6}{35}[/tex] = 0.16cents
then x;
120x = 26.8 - 55y from equation I
120x = 26.8 - 55(0.16)
120x = 18
x = [tex]\frac{18}{120}[/tex] = 0.15cents
Find the cost of 140min of talk time;
n =140min;
= 120(0.15) + 0.16(140 - 120)
= 18 + 0.16(20)
= 18 + 3.2
= $21.2
A block with a mass of 10 kg is being pushed. its acceleration is 5 m/s.s . Calculate the force acting on the block ? plz answer for good luck
Answer:
The answer is 50 NStep-by-step explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 10 kg
acceleration = 5 m/s²
We have
force = 10 × 5
We have the final answer as
50 NHope this helps you
2x2 + 2 + 5x = -4 - x
Answer:
2.75 that are answer
Step-by-step explanation:
that are answer
A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?
7x – 3
7x + 5
x + 5
x – 3
Answer:
x+5
Step-by-step explanation:
Answer:
which expression represents the measure of segment RS? x + 5
Step-by-step explanation:
on engenuity
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
Use a common denominator to find –12+(-3).
Explain your answer.
The answer is 15 because you have two equal signs so they add up and that's why it gives that answer
10y+15=7y+45
what does y equal
Answer:
10
Step-by-step explanation:
10y+15=7y+45
10y-7y=45-15
3y=30
y=10
hope it helps you!
Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why
Answer/Step-by-step explanation:
Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.
PS; PLATO does not have an answer this is my personal answer since I am also on this assignment.
Sorry if this response is late! Hope you did well! :)
The coordinates of the reflected images match the actual results because of the following reason.
What is coordinate?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).
Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .
Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.
and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.
but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.
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Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
its b i got it correct
Step-by-step explanation:
on ed 2020
What is the product of 70 and 1.8 x 10^3 expressed in scientific notation?
Answer:
70 x 1800 = 126000=1.26 x 16^5
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
70 and 1.8 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be
⇒ 70 × 1.8 × 10³
⇒ 126 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
More about the Algebra link is given below.
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PLS HELP ILL MARK BRAINEST DUE IN 20 minsss
Answer:
ill help
Step-by-step explanation:
Which rational number equals 0 point 2 with bar over 2? (1 point)
Group of answer choices
1 over 10
2 over 10
2 over 9
1 over 9
Answer:
1 over 10
Step-by-step explanation:
I guessed
Which equation represents a line which is perpendicular to the line through y= 3/4 X -6
Answer:
Step-by-step explanation:
A perpendicular line has a negative reciprocal of the line it is perpendicular to.
y = [tex]\frac{3}{4}[/tex][tex]x[/tex] - 6
Since the slope of that line is [tex]\frac{3}{4}[/tex], the line perpendicular to that will have the slope of [tex]-\frac{4}{3}[/tex].
Now let's plug the slope into the slope-intercept equation.
y = mx + b
y = [tex]-\frac{4}{3}[/tex][tex]x[/tex] + b
Next, we need to find the y-intercept (b), to get to the equation.
TO FULLY SOLVE THIS, I WOULD NEED TO KNOW ONE POINT OF THE PERPENDICULAR LINE!
Please let me know if there is another point that way I can help you! <3
8x+x(−2x+6)−7(−2x2+5x−6)
help me this
Answer: 12x2 -21x +42
Step-by-step explanation:
PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answer:
C.
Step-by-step explanation:
Jacob is going on a road trip across the country . He covers 10 miles in 15 minutes . He spends 10 minutes buying gas and some snacks at a gas station. He then continues on his road trip describe the distance traveled between 10 minutes and 15 minutes
Answer: 3.33miles
Step-by-step explanation:
given data:
distance covered in first 15 minutes = 10 miles
time spent buying gas and some snacks = 10mins.
= 10/15 * (15 –10 )
= 3.33miles
jacob has traveled 3.3miles between 10 and 15 minutes.
Answer:
3.33 miles!
Step-by-step explanation:
Let f(x) = 2x + 2. Evaluate for f(6)
Answer:
f
(
6
)
=
74
Explanation:
If
f
(
x
)
=
2
x
2
+
2
then
XX
f
(
6
)
=
2
⋅
6
2
+
2
XXXXX
=
2
⋅
36
+
2
XXXXX
=
74
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
plug in 6
the rest is common sense
Kayla rented a limousine for prom. There was a one-time charge of $100, plus
an hourly rate of $45. Her total cost for the night was $347.50. How many
hours did Kayla rent the limo? please helppp
Answer:
5.5 hours
Step-by-step explanation:
347.50 - 100 = 247.50
247.50 ÷ 45 = 5.5
Answer:
5.5 hours
Step-by-step explanation:
if the one-time charge was 100 then subtract 100 from 347.50 and you would get 247.50 then divide that by 45 and you get 5.5.
George ate 2/3 of a container of Chinese food, Silvia ate1/5 of the same container of Chinese food. What fraction of the container of Chinese food did they eat all together?
Answer:
13/15
Step-by-step explanation:
2/3, 1/5
10/15 + 3/15 - find a common denominator
13/15 - add fractions, simplify if possible (in this case it is already simplified)
The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
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0.5b+4=2(b+2)
I need help on this question?
Answer: b=0
Step-by-step explanation:
0.5b+4=2(b+2)
0.5b+4=2b+4
4=1.5b+4
0=1.5b
b=0
Given the functions f(x) = x^2 + 6x - 1, g(x) = -x^2 + 2, and h(x) = 2x^2 - 4x + 3, rank them from least to greatest based on their axis of symmetry.
f(x), g(x), h(x)
h(x), g(x), f(x)
g(x), h(x), f(x)
h(x), f(x), g(x)
Answer:
At least to greatest you've got -3, 0, 1 so f(x), g(x), h(x). Answer a
Step-by-step explanation:
ik this is because i am in level 11 grade math
Answer:
h(x), g(x), f(x)
Step-by-step explanation:
I got that value because the axis of symmetry of GX and hx I've got them all the same, one and one the issue comes to the GX where ist has a negative value in front of the X I think when you put a negative value inside a bracket then you Square it you'll get a positive value in the end but since it has a negative value outside then it will be a negative value that is why I considered GX to be smaller than HX but even if I consider GX smaller it's not going to be smaller than FX that is why I got GX and then FX.
Hence, HX then GX then FX
[3.5x10^6]-[1.5x10^5] in scientific notation
Answer:
3.35 × 10^6
Step-by-step explanation:
decimal expansion for 8/9
a. 0.8
b. 0.88
c. 0.9
d. 0.9
Answer: B
Step-by-step explanation:
Points A and B lie on a circle with radius 1, and arc
⌢
AB
has a length of
π
3
. What fraction of the circumference of the circle is the length of arc
⌢
AB
?
Answer:
arc AB=16 circumference
Step-by-step explanation:
The circumference of a circle with radius
r=1
has a length
C1=2rπ=2π
An arc length of π 3 represents π
32π = 132 + 16 of this circumference
Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red and blue line buses both stop at the stadium. * A red line and a blue line bus both leave the stadium at 4:00 p.M. * Red line buses leave the stadium every 6 minutes * Blue line buses leave the stadium every 8 minutes If the game is over at 4:30 p.M., what bus will the kids take if they wanted to leave the stadium at the same time after the game was over?
Answer:
Red bus if it takes no time to reach the bus from stadium.
Blue bus if it takes some time to reach the bus from stadium.
Step-by-step explanation:
Given that:
Red bus leaves the stadium every 6 minutes starting from 4:00 PM.
So, the timings for red bus are:
4:00 PM, 4:06 PM, 4:12 PM, 4:18 PM, 4:24 PM, 4:30 PM, 4:36 PM, 4:42 PM, ......
Blue bus leaves the stadium every 8 minutes starting from 4:00 PM.
So, the timings for Blue bus are:
4:00 PM, 4:08 PM, 4:16 PM, 4:24 PM, 4:32 PM, 4:40 PM, 4:48 PM, ......
Also Given that, game is over at 4:30 PM, so near to that time Red bus leaves at 4:30 PM and then Blue bus leaves at 4:32 PM.
Therefore, the answer is:
Red bus if it takes no time to reach the bus from stadium.
Blue bus if it takes some time to reach the bus from stadium.
what is the average rate of change
y - 3 = -12 (x + 4)
Answer:
[tex] - 12x[/tex]
Step-by-step explanation:
[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]
Thr answer is the slope.
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
The average rate of change of a function f ( x ) over the interval [ a , b ] is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]f(x)=\frac{3}{x-2}[/tex]
and [tex][a,b]=[4,7][/tex]
[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]
[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]
The rate of change is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]
[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]
a.What is the length of A’A?
b.What is the length of B’B
Both in units
Answer:
A'A = 18 units, B'B = 9 units
Step-by-step explanation:
Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values
[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8AC = 240 ( divide both sides by 8 )
AC = 30
Thus A'A = AC - A'C = 30 - 12 = 18 units
--------------------------------------------------------------------
and
[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is
[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8CB = 120 ( divide both sides by 8 )
CB = 15
Thus
B'B = CB - CB' = 15 - 6 = 9 units
Use the order of operations to simplify the following expression.
11 - 3 × 2.4 + 5
8.8
1.2
24.2
59.2
Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.
Answer:
3 hours for landscaping and 9 hr for babysitting
Step-by-step explanation:
So take x to be babysitting and y to be landscaping
The equation will be 7x+11y=96
$7 for the baby sitting and $11 for the landscaping and 96 for the total
So then it says 3 times as many hours than landscaping so x equation will look like this x=3*y
So replace the terms - 7*(3y)+11y=96
Simplify (7*3)y+11y=96
Simplify more 21y+11y=96
You get 32y=96
Divide both sides by 32 to have y only 32y/32=96/32
You will get y=3
So landscaping will be 3 hours and it says that babysitting is 3 times so multiply 3 you get 9
So landscaping is 3 hours and babysitting is 9 hours
Hope this help
(It may be wrong so if it is im sorry :( )
Answer:3 hours for landscaping and 9 hr for babysitting
Step-by-step explanation: