Taking into account the rule of three, the vehicle cover a distance of 60 km in 45 minute.
Rule of threeThe rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied as follow, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: x= (c×b)÷a
Distance in this caseYou can apply the following rule of three: if the vehicle travels 80 km in 60 minutes, in 45 minutes it travels how much distance?
60 minutes ⇒ 80 km
45 minutes ⇒ distance
So:
distance= (45 minutes× 80 km)÷ 60 minutes
Solving:
distance= 60 km
In summary, the vehicle travel 60 km in 45 minute.
Learn more about discante covered:
brainly.com/question/2936013
#SPJ1
If Circle A has a radius that is five more than twice as long as the radius of circle B and the sum of the diameters of the circle is 88 inches, find the area and circumference of circle A
Answer:
Circumference of a circle A = [tex]389.7 \,\,inches[/tex]
Area of a circle A = 12081.1 square inches
Step-by-step explanation:
Let [tex]r[/tex] denotes radius of circle B.
Circle A has a radius that is five more than twice as long as the radius of circle B.
So,
Radius of circle A = [tex]5+2r[/tex]
Diameter of circle = 2 (radius of circle)
So,
Diameter of circle B = 2r
Diameter of circle A = [tex]2(5+2r)[/tex]
Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]
[tex]=2r+10+4r[/tex]
[tex]=6r+10[/tex]
As sum of the diameters of the circles is 88 inches,
[tex]6r+10=88\\6r=78[/tex]
[tex]r=13[/tex] inches
Radius of a circle A = [tex]2(5+2r)[/tex]
[tex]=2[5+2(13)][/tex]
[tex]=2(5+26)[/tex]
[tex]=2(31)[/tex]
[tex]=62[/tex] inches
Let R denotes radius of a circle A.
R = 62 inches
Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]
Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches
Find the value of x.
Answer:
x = 45
Step-by-step explanation:
All triangles add up to 180°
x + 75 + 60 = 180
x + 135 = 180
x = 180 - 135
x = 45
The number of mosquitoes at the beginning of the summer was 4,000. The population of
mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be
after 4 months?
Please answer with explanation
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
Help me out please and thank youuuu!!
Answer:
a) 9/10 or 90%
b)2/3 or 67%
A sector of a circle has a central angle of 60°. find the area of each sector if the radius of the circle is 10in
Answer:
i have made it in above picture
hope it helps
1. The exponential function modeled below represents the number of square
kilometers of land occupied by cane toads x years after this animal was first
introduced into Australia,
Area Occupied by Cane Toads
Time
Area
1,200
(y)
(km)
1,100
1,000
0
36,500
900
5
53,600
800
700
10
78,800
600
15
115,780
500
20 170,120
400
25
250,000
300
200
30 367,300
100
539,700
0 5 10 15 20 25 30 35
Time (y)
Based on the data, which measurement is closest to the number of square
kilometers of land that will be occupied by cane toads 40 years after this
Area (thousands of km)
35
< PREVIOUS
Answer:
600,000 km²
Step-by-step explanation:
Using the exponential regression calculator : the regression fit obtained for the data is :
36510 * (1.08^x)
After 40 years ;
x = 40
Hence,
y = 36510 * 1.08^40
y = 36510 * 21.72452
y = 793,162.27 km
Hence, y is closest to 800,000 km
Please help with this
Answer:
A= 347.65 B= 43.5
Step-by-step explanation:
A : 347.65
B : 43.5
244.5
+ 1 0 1. 1 5
= 347.65
68.2
- 24.7
= 43.5
Please I really need someone to help
Answer:
Step-by-step explanation:
so a rhombus is two triangles put together, the area of a triangle is 1/2 b*h and since we've got two it's 2 ( 1/2 b * h ) so then it' just b * h
will be the area of the rhombus.
the base is WY = 24 the height is 1/2 XZ = 30 so 15
24*15 = 360
what is the x-intercept of the graph 4x-6y=12
Answer
x=3 or (3,0) and if you need it y=-2x+3
Step-by-step explanation:
I'm not very good at explaining things, sorry
whats an equation that uses all numbers 1-10
Answer:
linear equations
Step-by-step explanation:
linear inequalities
Answer:
natural numbers.ok
hope this helps you ☺️☺️
Which mixed number represents point D?
A)3 1/10
B)2 9/10
C)2 10/10
D) 3 2/10
Answer:
1/10
Step-by-step explanation:
HHHEEEEEEELLLLLLPPPPP quickly
Answer:
x-intercept and y-intercept are both 0
the domain (x) is [-4, 4]
the range (y) is [-4, 4]
Find the area of the blue shaded portion.
Answer:
its 48
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
no
HELLLLLLLPPPP PLZZZZZZZZZZZZ THIS IS A TEST
Answer:
76%= Decimal: 0.76 and proportion 76%
Step-by-step explanation:
Answer:
Decimal=0.76 proportion=76%
Step-by-step explanation:
19/25 let's find the decimal first
long division:
25|19
25 goes into 1, 0 times so;
0
25|19
-0
19
25 goes into 19 0 times so;
00.
25|19.0
-0
19
-0
190
25 goes into 190 7 times so;
00.7
25|19.00
-0
19
-0
190
-175
150
25 goes into 150 6 times so;
00.76
25|19.00
-0
19
-0
190
-175
150
-150
0
now 19/25 as a proportion;
19........x
---- = ------
25.....100
25*4=100 so 19*4=x
19*4=76 so x = 76
and 76/100=76%
Priya is simplifying the expression $$ Her work is shown to the left. Priya's work is incorrect. Explain the error she made
Step-by-step explanation:
P.S - The exact question is -
Given - Priya is simplifying the expression -2(4 - 2x) - 3 - 2x Her work is shown to the left.
To find - Priya's work is incorrect. Explain the error she made.
Proof -
Priya simplified the problem as follows :
-2( 4 - 2x ) - 3 - 2x
-8 - 2x - 3 - 2x
-11 - 4x
But the simplification has to be like
-2( 4 - 2x ) - 3 - 2x
⇒-2(4) - 2(-2x) - 3 - 2x
⇒-8 + 4x - 3 - 2x
⇒-8 - 3 + 4x - 2x
⇒-11 + 2x
So, Priya made an error in the second line.
In the second line it has to be -8 + 4x - 3 - 2x but Priya has written -8 - 2x - 3 - 2x.
been stuck on this question. plz help me i will give u brainliest!
Answer:
the sum of A, B, C and E = 23Explanation:
single cone = $3
double cone = $5
total single = A = 3s
total double = B = 5d
As + Bd = 57
Cs + Ed = 15
A = 3 , B = 5
3s + 5d = 57
s + d = 15 (we don't know C and E yet)
multiply the second equation by 3 and substract it from the first equation
3s + 5d - 3s - 3d = 57 - 45
2d = 12
d = 6
Ed = 6
Cs = 15 - 6 = 9
A = 3 ($3)
B = 5 ($5)
C = 9 (single cones)
E = 6 (double cones)
Check:
(9 single cones × $3) + (6 double cones × $5) = 27 + 30 = 57
9 single cones + 6 double cones = 15
the sum of A, B, C and E:
A+B+C+E = 3+5+9+6 = 23
Solve for t in the expression 16/t when t = 4.
please help!!
Answer:
x=16/t
t=4 so
16/4 = 4
4 is your answer.
Ami andieiwiiwkwkwkskkskskskskskw
Answer:
The only true statement is C
Step-by-step explanation:
The area of Amy's garden is 176 in²
The area of Burts garden is 324 in²
Therefore the only true statement is C.
The quadratic function is given in both its standard and factored form below
x²+2x-15=(x+5)(x-3) there is nothing to factoriz
PLEASEE HELPPP 49 points
Answer:
bimodal 16 and 23
Step-by-step explanation:
mode is the highest frequency
Answer:
16 and 23 b/c they both appear two times and the most often.
Step-by-step explanation:
mode is the value that appears most often in a set of data.
Triangle Ratios (Sides)
Find the value of c. Round to the nearest tenth!
Answer:
x =30.7
Step-by-step explanation:
Here, we want to find the value of x
To get this, we use the appropriate trigonometric ratio
From what we have, we have the side facing an angle which is the opposite and the side not facing an angle or the right angle; this is the adjacent
The trigonometric identity that links the opposite and the adjacent is called the tan
It is the ratio of the opposite to the adjacent
Thus, we have;
tan 61 = x/17
x = 17 * tan 61
x = 30.7
Which equation represents a proportional relationship where the constant of proportionality is 2? * y=2+k k=2y y=2+x y=2x
Answer:
y = 2x
Step-by-step explanation:
here in this case, x = independent variable whereas y is the dependent variable.
Now, Equation that represents a proportional relationship with a constant or proportionality of 2 is y =2x.
as y= 2x
⇒ y/x = 2
Plzzzz help!!!!!!!!!! ASAP
Find the slope of the line. 10 point if you solve.
PLS HELP ME FAST
Write the number 0.000037 in scientific notation
Answer:
3.7 x 10^-5
Step-by-step explanation:
(07.07) H U R R Y, please ;) 15 points!
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).
Elapsed Time
(seconds) Distance Traveled
(feet)
1 4.2
2 8.4
3 12.6
4 16.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time?
p = 4.2f
f = 4.2p
p = 4.2 + f
f = 4.2 + p
im not sure i think its 14.2
pls help I can't get it
Answer:
30
Step-by-step explanation:
Solve for the hypotenuse for the bottom triangle (a^2+ b^2=c^2). You should get 40. After solving that you should be able to solve for c in the top triangle which should get you 30.
A youth football team has three out of 11 players who played quarterback previously. Based on the
information, if there are 250 players in the football league, then how many could we expect to have
previously played the position of quarterback?
а. 70
B.3
C.250
D.68
Need it now
Answer:
D
Step-by-step explanation:
You make a scale drawing of a tree using the scale 5 in. =27 ft. If the tree is 67.5 ft tall, how tall is the scale drawing?
A.) 10 in
B.) 11.5 in
C.) 12 in
D.) 12.5 in