Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.


A couple of friends decide to race each other. Valentina can run 7 meters per second, whereas Felipe can run 8 meters per second. Because she is slower, Valentina also gets a head start of 4 meters. Shortly after they start running, Felipe will catch up to Valentina. How long will that take? How far will Felipe have to run?


It will take ____seconds for Felipe to run ____meters and catch up to Valentina.

Answer:

6

cuz 6*3=18 and 6*4=24

Answer:

18: 2x9 3x6

24: 12x2 6x4  8x3

So 2

Step-by-step explanation:

Is that what you mean?

x-int=-5, y-int=5 and vertex is at (-3,-3)

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

Answer:

$126

Step-by-step explanation:

A deposit adds money into your checking account, so add $150 to $37.

150+37=187

If you write a check, you take money out, so subtract $61 from $187

187-61=126

Your final answer is $126. Hope this helps!

Answer:

all follow the sequence

Step-by-step explanation:

Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.

Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.

Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

Answer:

3/10 and 355/1000

Step-by-step explanation:

Answer:

$26.00

ad the picture Step-by-step explanation: it would be better if i had the pictrue but t ook the unshaded plus the shaded and got $26.00

Answer:

The correct answer is $26.00

Step-by-step explanation:

 $21.00

+$  5.00

________

 $26.00

29 because 9*3 is 27 +2 equals 29

Answer:

29

Step-by-step explanation:

9×3+2=29

Tyra's father is 29

aa aa a a aaaaaa a a aa a saa a

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

Comment on the figure

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

Answer:

c and d are the correct answers

Answer:

See the expression below

Step-by-step explanation:

Given data

We have the expression  

-4x+y=11-----------1

from 1 make y subject of formula we have

y=100+4x

Make x subject of the formula we have

-4x=11-y

divide both sides by -4

x=(11-y)/-4

Answer:

B because 20 cm multiplayer by 9cm equals 180cm

Answer:

Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

Straight Angle-A straight angle is 180 degrees. This is a straight angle.

Step-by-step explanation:

180 is a straight angle and 90 is a Right angle

Answer:

8

Step-by-step explanation:

Answer and Step-by-step explanation:

RO = OW = 5.1

BRW + ORW = BRO = OWB

57 + 42 = 99 = OWB

I'm not entirely sure if these are correct, if its not, then im sorry.

#teamtrees #PAW (Plant And Water)

Given:

The equation is:

[tex]3^x\times 9=3^{2n-1}[/tex]

To find:

The value of n in terms of x.

Solution:

We have,

[tex]3^x\times 9=3^{2n-1}[/tex]

It can be written as

[tex]3^x\times 3^2=3^{2n-1}[/tex]

[tex]3^{x+2}=3^{2n-1}[/tex]                [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the exponents, we get

[tex]x+2=2n-1[/tex]

Add 1 on both sides.

[tex]x+2+1=2n-1+1[/tex]

[tex]x+3=2n[/tex]

Divide both sides by 2.

[tex]\dfrac{x+3}{2}=n[/tex]

Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].

Step-by-step explanation:

step 1. tan x = opposite/adjacent = c/b

step 2. cos x = adjacent/hypotenuse = b/a

step 3. sin x = opposite/hypotenuse = c/a

Answer:

(A) 300

(B) 11

Step-by-step explanation:

8 bottles of drink cost 480

Therefore one bottle will cost

= 480/8

= 60

(A) 5 bottles of cold drink will cost

= 60×5

= Rs300

(B) The bottles of drink that can be purchaseed at Rs640

= 640/60

= 11 bottles

Answer:

Total number of balloons= 160

Step-by-step explanation:

Giving the following information:

Number of balloons inflated by Zoey= 24

Proportion of balloons inflated= 15%

To calculate the total number of balloons, we need to use the following formula:

Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated

Total number of balloons= 24 / 0.15

Total number of balloons= 160

Answer:

The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.

Step-by-step explanation:

With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).

Answer:

127.41ft^2

Step-by-step explanation:

Given data

DImension of the square

10ft by 10ft

The perimeter of the square is

=10+10+10+10

=40ft

Hence the amount of the fencing of the circle is 40ft

That is the circumference is 40ft

C=2πr

solve for r

40=2*3.14*r

40=6.28r

r= 40/6.28

r=6.37 ft

Area= πr^2

Area= 3.14*6.37^2

Area= 3.14*40.5769

Area= 127.41ft^2

Answer:

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Sarah has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled  6 miles.

I dont see a problem here!!!!!!!!!

Answer:

Diagonals bisect each other

Answer:

id like to get paid weekly

Step-by-step explanation:

Answer:

i dont get it

Step-by-step explanation: