Given:
Scott can run 20 km in 85 minutes.
To find:
How long will it take Scott to run 52 km?
Solution:
Let x be the number of minutes it will take him to run 52 km.
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Using this formula, we get
[tex]Speed=\dfrac{20}{85}[/tex] ...(i)
[tex]Speed=\dfrac{52}{x}[/tex] ...(ii)
Equating (i) and (ii), we get
[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]
[tex]20\times x=52\times 85[/tex]
[tex]20x=4420[/tex]
Divide both sides by 20.
[tex]x=\dfrac{4420}{20}[/tex]
[tex]x=221[/tex]
Therefore, it will take 221 minutes to run 52 km.
Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False
Answer:
False
Step-by-step explanation:
False
There is not enough information to guarantee the lines are perpendicular.
No, we can not say that AB and CD are perpendicular from the information given.
What are perpendicular line?Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.
The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.
Given that a triangle ABC, divided into two triangles by a line DC, also
angle DAC and DBC are congruent,
From the given information we can not conclude any relation between both triangles,
Hence, we can not say that AB ⊥ CD
Learn more about perpendicular line click;
https://brainly.com/question/29268451
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. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)
6
3
)(
6
)
Answer:
(6-3)=3..............................
A fruit seller buys lemons at 2 for a dollar and sells them at 5 for three dollars. What is his gain percent?
a)10%
b)15%
c)20%
d)25%
Can anyone help me with this question pls ! I would appreciate it !!
-
A great white shark swims 56 feet below sea level and is 97ft from the sail boat
What is the ANGLE OF DEPRESSION from the sail boat to the shark ?? ( round the the nearest WHOLE degree )
Answer:
35
Step-by-step explanation:
We use trignometry here
Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.
So we use the sin rule
sin90/97 = sin x/56
multiply 56 to the other side
56*sin90/97 = sin x
sin90=1
56/97 = sin x
x= sin^-1 (56/97)
x= 35.3
Round and you get 35
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d
Answer:
a2 +b2=c2
Step-by-step explanation:
......
hope it helps
Answer: its a^2+b^2=c^2
Step-by-step explanation:
A(n) ______________ is the act of uniformly turning in a clockwise or counter-clockwise direction around a center point.
Answer Choices:
Dilation
Translation
Reflection
Rotation
Please help me!! Thank you.
Answer:
8640
Step-by-step explanation:
According to question,
P= 6000
T=3 year 8 months = 11/3 years
R= 12% per annum
Simple interest is given by :
[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]
Now,
Amount = P+SI
Amount=6000+2640
Amount=8640 Rs
8640 Rs amount which will clear her debt
please solve this fast.
can someone help me with this maths question? workings would be appreciated :]
Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.
Work out the total amount of sweets.
Answer:
total amount of sweets=230
Step-by-step explanation:
ratio=8:5:10
total ratio=8+5+10
=23
Adrian=x
Charlie= x+20
Ben=1/2×(x+20)
Charlie's share
10/23×(x+20+x+(1/2×x+20))=x+20
10/23×(x+20+x+(x+20/2))=x+20
10/23×(x+20+x+x+20/2)=x+20
10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20
10/23×(2x+40+2x+x+20)/2=x+20
10/23×(2x+2x+x+40+20)/2=x+20
10/23×(5x+60)/2=x+20
50x+600/46=x+20
50x+600=46(x+20)
50x+600=46x+920
50x-46x=920-600
4x=320
4x/4=320/4
x=80
Total amount of sweet
x+x+20+1/2(x+20)
80+80+20+1/2(80+20)
180+1/2(100)
180+50
230
(First correct answer will get brainliest) Determine the length of AB. Write your anseer in simplest form
Answer:
[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
Help me plssss? Thanks
Answer:
B
Step-by-step explanation:
F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.
25 / 5 = F / 8
Cross-multiply to solve.
5F = 200
F = 40
Hope this helps!
factor x^2+64
and
factor 16x^2+49
Answer:
Step-by-step explanation:
x^2+64=(x+8i)(x-8i)
16x^2+49=(4x+7i)(4x-7i)
1. What percentage of the students like football? a. 25% b. 30% c. 35% d. 40% 2. How many students prefer swimming? lime a. 100 b. 120 C. 130 d. 140 3. How many students do not like volleyball the most? a. 140 b. 240 C. 340 d. 440 4. How many students were asked about their favorite sport? a. 400 b. 300 c. 200 d. 100 pakisagot po please asap po
Step-by-step explanation:
the answer is in the above image
Evaluate x2+9/x2 for each of the given values.
What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined
Answer:
ok so we just substate the number in so
6+9/6
6+1 1/3 = 7 1/3
so for part a the answer is 7.33
for part b
2+9/2
3+4 1/2 =7 1/2
so the answer is 7.5
A:7.33
B:7.5
Hope This Helps!!!
Answer:
A, 2
B, 10
C, undefined
Step-by-step explanation:
Just did the assignment E2021
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
1,200
2,880
3,280
4,200
Answer:
Option B
(B) 2880 Hope this helps <3
Step-by-step explanation: the total number of people affected by flu during
the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer:
1,200
Step-by-step explanation:
40%=.4
(3,000)x(.4)=1,200
1,200 more people were more affected in the third week then the first week
Hey guy, can yall please help me?
Answer:
x is greater than or equal to 3
Step-by-step explanation:
x ≥ 3
x is greater than or equal to 3
so you got the plot right
How much almond milk does James use per teaspoon of cashew butter
help plz I’m stuckkkk
The "is" means "equals"
So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.
5. Of the quadratic functions shown below, which has imaginary zeroes?
(1)
(3)
(2)
(4)
There are 1,281 souvenir paperweights that need to be packed in boxes. Each box will hold 15
paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
What is Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)?
6 a minus 2 b + 11
6 a minus 4 b + 3
6 a minus 2 b + 3
6 a minus 4 b + 11
PLZ PLZ PLZ HELP
Answer:
6 a minus 4 b + 11
Step-by-step explanation:
(8a -3b +7) - (2a + b -4)
= 8a -3b +7 -2a-b +4
= 6a -4b + 11
Hello! I wanted answer with explanation
If you didn't understand what question in the screen I can't tell you...
Question: In an election, there are a total of 80,000 voters and there are two candidates A and B. 80% of the voters go for the polls and out of which 60% vote for A. How many voters does B get?
I hope you answer...
Thank you!
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
rewrite the following linear equation in general form
Given:
The linear equation is:
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
To find:
The general form of the given linear equation.
Solution:
The general form of a line is equation is:
[tex]Ax+By=C[/tex]
We have,
[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]
Multiply both sides by 2.
[tex]2(y+6)=-5(x+4)[/tex]
[tex]2(y)+2(6)=-5(x)-5(4)[/tex]
[tex]2y+12=-5x-20[/tex]
Isolating variable terms, we get
[tex]2y+5x=-20-12[/tex]
[tex]5x+2y=-32[/tex]
Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].
help please asap just the answers
Answer:
"2"
(9-2-3)/2
4/2
2
Step-by-step explanation:
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
I need Help please!!!!