A cyclist leaves his training base for a morning workout, riding at the rate of 12 mph. One hour later, her support staff leaves the base in a car going 30 mph in the same direction. How long will it take the support staff to catch up with the cyclist

Answers

Answer 1

Answer:46

Step-by-step explanation:


Related Questions

if the population of an anthill doubles every 10 days and there are currently 20 ants living in the ant hill, what will the ant hill population be in 20 days?

Answers

60 I think not sure, because it doubles

Solve the equation for x.
(x - 4) - (x + 7) = 8x
11
a.
c.
11
8
2
AlE NE
b.
1
d.
11
coin
8
4

Answers

Answer:

[tex]x=-\frac{11}{8}[/tex]

Step-by-step explanation:

Hi there!

[tex](x - 4) - (x + 7) = 8x[/tex]

Open up the parentheses

[tex]x - 4 - x - 7 = 8x[/tex]

Combine like terms

[tex]x -x - 4 - 7 = 8x\\-4-7=8x\\-11=8x[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]

[tex]-\frac{11}{8}=x[/tex]

I hope this helps!

Round the number 553 to the tens place.
is it 550? because 3 is less than 5 so I replace it with a 0

Answers

Answer:

550

Step-by-step explanation:

To round 553 to the tens place, we would need to identify the value of the digit in the ones place.

If the digit in the ones place is greater than 5, we increase the tens place by 1 & convert the ones place into a 0.

If not, we leave the tens place as is & convert the ones place into a 0.

Since 3 is less than 5, we round 553 to 550 so you are correct.

Answer:

Yes

550 has 2 sig figs

553 has 3

Step-by-step explanation:

I need help ASAP!!Please explain the answer

Answers

Answer:

348

Step-by-step explanation:

Volume = Area of cross section x height

Area of cross section = 1/2bh

1/2 (12x5.8) = 34.8

34.8 x 10 = 348

Volume = 348km^3

Answered by g a u t h m a t h

HELP PLSSSSSSSSS i really need it right now

Answers

Step-by-step explanation:

A1= 3.5×9=31.5

A2=2×2=4

A3=(1/2) × 5×2=5

A4= (1/2)×2×2=2

At=A1+A2+A3+A4

At= 31.5+4+5+2

At=42.5

Simultaneous equation 2x-Y= -1 x-2y=4​

Answers

Answer:

x + y = -5

Step-by-step explanation:

2x - x - y + 2y = -1 - 4

x + y = -5

the prouduct of any two irrational number is​

Answers

Answer:

mostly rational but sometimes irrational

The product of any two irrational number can be rational or irrational depending on the two numbers.

Combine like terms to simplify the following polynomial.

x + y + z + x + 2z + 3y

2x + 4y + 3z


9xyz


4x + 2y + 3z


x2 + y4 + z3

Answers

Step-by-step explanation:

Answer 1

x+x+y+3y+z+2z

2x+4y+3z

Answer 2

2x+4y+3z

( no like terms are there so it cannot be added)

Answer 3

9xyz

last two answers will also be similar as the question because unlike terms cannot be added..

3x-4y=12
5x-2y=-8
I need the steps and answer to this equation.

Answers

Answer:

(-4,-6)

Step-by-step explanation:

3x-4y=12

5x-2y=-8

multiply #2 by "-2"

3x-4y=12

-10x-4y=16

add two equations

-7 x = 28

x= -4

plug in -4 to equation (1 or 2)

-12 - 4y = 12

-4y = 24

y = -6

(-4,-6)

Answer:

x = -4.

y = -6.

Step-by-step explanation:

3x-4y=12

5x-2y=-8       Multiply this equation by 2:

10x-4y = -16    Subtract this from the first equation:

-7x  = 28

x = -4

Substitute thin in equation 2:

3*(-4)  - 4y = 12

-12 - 4y = 12

-4y = 24

y = -6.

Yesterday the temperature was -7°C. Today it is 8°C. In degrees Celsius, what is the change in
temperature?

Answers

Answer:

cold to hot hope it helps

Х
32°
X =
degrees.
please

Answers

Answer:

58

Step-by-step explanation:

90+32= 122

180-122=58

Answer:

X = 122°

Step-by-step explanation:

A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.

32° + 90° = 122°

180° - 122° = 58°

The line is 180°.

180° - 58° = 122°

So x - 122°

Sorry if this was hard to understand but I hope I helped :)

pls help :: geometry summer assignment

Answers

42/12 = 3.5, 63/18 = 3.5, therefore we will be multiplying the last time by 3.5. 40x3.5= 140, and therefore, the number of pencils produced in 40 seconds is 140

Answer:

140

Step-by-step explanation:

Left column = x

Right column = y

Rule = 3.5x = y

Because 42/12 = 3.5

3.5 * 40 = 120 + 20 = 140

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Can someone please help me find 120% of 55

Answers

Answer:

Below

Step-by-step explanation:

It's 66

To find a percentage of a number just multiply it by 0.whatever the percentage if that makes sense...

In this case you would do 55 x 1.2 = 66

Hope this helps!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{120\% \ of\ 55}}\\\huge\boxed{= \dfrac{120}{100}\times55}\\\huge\boxed{= \dfrac{6}{5}\times\dfrac{55}{\bf 1}}\\\huge\boxed{= \dfrac{6\times55}{5\times 1}}\\\\\\\huge\boxed{6\times55=\bf 330}\\\boxed{5\times1=\bf 5}\\\\\\\huge\boxed{= \dfrac{330\div5}{5\div5}}\\\huge\boxed{=\dfrac{66}{1}}\\\huge\boxed{= \bf 66}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your ANSWER is: 66}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?

Answers

Answer: f(x-2) which is choice A.

The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.

============================================================

Explanation:

For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.

The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.

Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.

Will Mark Brainlest helppp plss​

Answers

Answer:

the required value of c is [ -11 -1

2 5]

Bro please help I will Mark you as brainlist

Answers

the first one is, yes by AA

the second is no you cannot

square of 2x+3y.Please help me​

Answers

Answer:

(2x+3y)^2

= (2x)^2 + 2(2x)(3y) + (3y)^2

= 4x^2 + 12xy + 9y^2

Answer:

4x^2 12xy +9y^2

Step-by-step explanation:

(2x+3y)^2

(2x+3y)(2x+3y)

FOIL

4x^2 + 6xy+6xy + 9y^2

4x^2 12xy +9y^2

Someone help me solve this please…

Answers

Answer:

x=5.5

Step-by-step explanation:

Perimeter of ABCD=85

The perimeter is everything around the outside added together.

Form an equation:

3x+4+4x+6x-11+5x-7=85

Collect the like terms:

Like terms are terms that have the same powers and coefficient.

3x+4x+6x+5x=18x

4-11-7= -14

Put it back into an equation:

18x-14=85

Do inverse operations to find out what x is:

85+14=99

18x=99

99÷18=5.5 (we divide because, in algebra, when a number is next to a letter, it means times and as we want the inverse, you would have to divide)

x=5.5

Hope this helps :)

2. The ? states that the product of the extremes is equal to the product of the
means.

Answers

Answer:

proportion

Step-by-step explanation:

In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.

hope it helps :)

mark brainliest!

In the given figure, identify a pair of perpendicular lines.
A) I and p
B) o and p
C) m and n
D) m and o

i’ll give brainliest

Answers

the answer is m and n / c
The one above me is correct

if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs

Answers

Answer:

a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 5 ^{2}[/tex]

a = b

[tex]2a^{2} = 5 ^{2}[/tex]

[tex]2a^{2} = 25\\[/tex]

[tex]a^{2} = \frac{25}{5}[/tex]

a = [tex]\frac{5}{\sqrt{5} }[/tex]

must rationalize...

a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]

which equation shows 2.4 as the constant of proportionality?

Answers

Answer:

c  a = 2.4b

Step-by-step explanation:

y = kx is the form of the equation where k is the constant of proportionality

y and x can be any letters

Replacing y and x with a and b  and k with 2.4

a = 2.4b

Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12​

Answers

Answer:

ab+bc+ac=47

Step-by-step explanation:

(a+b+c)=12

Square both sides

a^2+b^2+c^2+2(ab+bc+ac)=144

2(ab+bc+ac)=94

ab+bc+ac=47

Answer:

ab + bc + ca = 47

Step-by-step explanation:

Using the algebraic identity

(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then

12² = 50 + 2(ab + bc + ca)

144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides

94 = 2(ab + bc + ca) ← divide both sides by 2

47 = ab + bc + ca

convert six yard to feet

Answers

Answer:

18 feet

Step-by-step explanation:

To convert : multiply the length value by 3

=> 6 x 3

=> 18 feet

What is the simple interest at the end of two year for a loan of rupees 20000 at 10% intrest annum

Answers

Answer:

4000 rupees

Step-by-step explanation:

20000×10×2/100

= 4000 rupees

TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!

Answers

Answer:

[tex]28.07^{\circ}[/tex]

Step-by-step explanation:

We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.

The right triangle we're looking at involves the two dotted lines and an edge of the prism.

The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.

The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.

In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:

[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]

This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:

[tex]\tan \theta = \frac{8}{15}[/tex]

Take the inverse tangent of both sides:

[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]

Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:

[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]

Someone plz round 6.675 to the nearest hundredth

Answers

Answer:

6.68

Step-by-step explanation:

To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.

6.675 rounded to the nearest hundredth = 6.68

A coin contains 9 grams of nickel and 161616 grams of copper, for a total weight of 25 grams.
What percentage of the metal in the coin is copper?

Answers

Answer:

64percents

Step-by-step explanation:

25-9=16 grams - weight of copper

(16/25)*100=64 percents

Which is the graph of y = [x]-2?

PLEASE HELP TIMED PLEASE

Answers

Answer:

3rd graph

Step-by-step explanation:

Which of the following is equivalent to the expression below?

Answers

Answer:

4

Step-by-step explanation:

ln(e)=1 since ln= log_e

log(x^y)=y*log(x) so ln(e^4)=4*ln(4)=4*1=4

Answer:

D

Step-by-step explanation:

ln(e^4)

The 4 comes down in front of the natural log (ln). You get 4 ln(e)

The natural log of e (ln e )  is 1.

So the answer is 4 * 1 = 4

That may not be clear to you. We could try it another way.

e = 2.718281828

ln (2.718281828) = 1

ln(2.718281828)^4 = 4.  The calculator gags until you get it right.  You need the y^x key (or the x^y key of ^) It does come back with 4.

You have to monkey around with the calculator to get this to happen.  

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