Find the value of 3.4(4 + 7) + 23 – 2.67.

Answer: 111.6 meters

Step-by-step explanation:

Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:

= 7 × 12.3 meters

= 86.1 meters

We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.

The length of the race will be:

= 86.1 + 15 + 10.5

= 111.6 meters

Answer:

The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Hope this helps

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

         = 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

Answer:

There will be 416 students in each group.

Step-by-step explanation:

There are 1,248 students.  There are also 3 groups: radical readers, mathematicians, and super scientists.  To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.

Answer:

so one thing you can do is to put the standard form into slope-intercept form

so 6x+y= -4 into y=-6x -4

now, you put a point on (0,-4)

(x,y)

now the slope is -6/1 so you rise (go down) -6 points and run (sideways) 1

Step-by-step explanation:

3 ( _3 ) 2 + 5 ( -3 ) - 14 = _2

.........

Answer:

Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents

Step-by-step explanation:

10 + .50 = 10.50

Answer:

$98

Step-by-step explanation:

Got it right on Edge2020

Answer:

yeah first dude is right its 98

Step-by-step explanation:

:)

Answer:0

Step-by-step explanation:0x0=0

Step-by-step explanation:

radius

(2,2)-(1,-3)=(1,5)

radius= 5.09 units

Answer:

2x

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The input is 5 , the output is the value of 2x + 5 for x = 5 ( input ), that is

output = 2(5) + 5 = 10 + 5 = 15

Answer:

(-38,18)

Step-by-step explanation:

Step: Solvex+3y=16for x:

x+3y+−3y=16+−3y(Add -3y to both sides)

x=−3y+16

Step: Substitute−3y+16forxin2x+5y=14:

2x+5y=14

2(−3y+16)+5y=14

−y+32=14(Simplify both sides of the equation)

−y+32+−32=14+−32(Add -32 to both sides)

−y=−18 Divide both sides by -1

[tex]\frac{-y}{-1} =\frac{-18}{-1}[/tex]

y=18

Step: Substitute18foryinx=−3y+16:

x=−3y+16

x=(−3)(18)+16

x=−38

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Use the formula for |A| <= B which is: -B <= A <= B

For this example you would do:

1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6

2. first do the math for -6 <= 2x-8 which is 1 <= x

3. then do the math for 2x - 8 <= 6 which is x <= 7

4. Put that together and you get 1 <= x <= 7

Good luck on the other questions!

Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!

Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.

Step-by-step explanation:

hope it helps

Answer:

[tex]2 \sqrt{14} [/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

Answer:

the one that looks like a v

Step-by-step explanation:

the are no vertical lines. it's the second graph

Answer:

Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.

Step-by-step explanation:

This is a system of equations:

C + p = 12

C = 3P

All you need to do is substitute C for 3P in the first equation.

C + P = 12

3P + P = 12

4P = 12

Divide both sides by 4

4P/4 = 12/4

P = 12/4

P = 3

Now, substitute P for 3 in the first equation.

C + P = 12

C + 3 = 12

Subtract 3 from both sides

C + 3 - 3 = 12 - 3

C = 12 - 3

C = 9

C = 9, P = 3

Set up a system of equations in 2 variables.

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

Answer: B) x + y = 17

1.60x + 2.45y = 34

Step-by-step explanation:

Cost of x = $1.60 per pound

Cost of y = $2.45 per pound

Total pounds of x and y = 17

Cost per pound of mixture = $2

Total number of pounds of the mixture :

x + y = 17

Since the cost per pound of the mixture = 2

Hence ;

(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)

(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)

1.60x + 2.45y = 2 * 17

1.60x + 2.45y = 34

Answer: answer is B

Step-by-step explanation:

Answer: its B

Step-by-step explanation: i've done this test before

Answer:

the answer is b

Step-by-step explanation:

because i have done this question before

Answer:

1

Step-by-step explanation:

Answer:

(7,4)

Step-by-step explanation:

Answer:

no it isn't

Step-by-step explanation:

Answer:

I am not fully sure but I think its not proportional

Step-by-step explanation:

Answer:A) no solutions

Step-by-step explanation:

1) set both problems equal to each other

2) subtract four from each side

3) subtract 2x from each side

4) 10 does not equal 0

Answer:

No solution

Step-by-step explanation:

As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution

Answer:

wait do we solve it or is there answer choices??

Answer:

The horizontal distance until the plane flies over the island is 2687ft

Step-by-step explanation:

An illustrative diagram of the scenario is shown in the attachment below.

P is the position of the plane, I indicates the position of the island and G is point on the ground such that /PG/ is perpendicular to the ground.

From the diagram, the horizontal distance from the plane to the island is x.

x = /IG/

In the diagram, consider triangle PIG which is a right angle triangle.

/PI/ is the hypotenuse

/IG/ is the opposite

and /GP/ is the adjacent.

From the formula,

[tex]tan\theta = \frac{opposite}{adjacent}\\[/tex]

∴ [tex]tan\theta = \frac{/IG/}{/GP/}\\[/tex]

[tex]tan\theta = \frac{x}{/GP/}\\[/tex]

∴ [tex]x = /GP/ tan\theta[/tex]

From the diagram

/GP/ = 7000 ft and [tex]\theta = 21[/tex]

∴ [tex]x = 7000 \times tan21\\[/tex]

[tex]x = 2687.05 ft[/tex]

[tex]x[/tex] ≅ 2687 ft

Hence, the horizontal distance until the plane flies over the island is 2687ft