Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 miles per hour, and Jada runs at a constant speed of 6 miles per hour. How long does it take until Elena and Jada meet? Explain your reasoning.

Answer:

The ramp must be placed 13.08 feet from the base of the house.

The angle the ramp will make with the ground is 20.92°.

Step-by-step explanation:

An illustrative diagram for the scenario is shown below.

In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.

To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.

The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"

In the diagram, the hypotenuse is r

∴ r² = d² + x²

r = 14 ft

d = 5 ft

∴ 14² = 5² + x²

196 = 25 + x²

Then, x² = 196 - 25

x² = 171

x = √171

x = 13.08

Hence, the ramp must be placed 13.08 feet from the base of the house.

Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.

From the formula

Sinθ = Opposite / Hypotenuse

In the diagram, opposite = d = 5ft

and Hypotenuse = r = 14ft

∴ Sinθ = 5ft / 14ft

Sinθ = 0.3571

∴ θ = Sin⁻¹(0.3571)

θ = 20.92°

Hence, the angle the ramp will make with the ground is 20.92°.

Answer:

[tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.

Step-by-step explanation:

Let [tex]a[/tex] the number of avocados that a particular tree produces at a year. [tex]a(y)[/tex] is the number of avocados that a particular tree produces at y-th year. Hence, [tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.

Answer:

B

Supplementary means they add to make 180 deg, so solve (4x-8)+(2x+2)=180

Answer:

angle a + angle b=180

4x-8+(2x+2)=180

6x-6=180

6x=180+6

x=186/6

{x=31°}

Answer:

A

Step-by-step explanation:

You want to double the 3 into the right square. Then add 15. After that, move the 7 into the 10 square.And there you go. You got 19-

Answer:

a= 38.85

Step-by-step explanation:

Answer:

[tex]\boxed {a = 38.85}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]\frac{a}{3.5} - 4.8 = 6.3[/tex]

-Add both sides by [tex]4.8[/tex]:

[tex]\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8[/tex]

[tex]\frac{a}{3.5} = 11.1[/tex]

-Multiply both sides by [tex]3.5[/tex]:

[tex]a = 11.1 \times 3.5[/tex]

[tex]\boxed {a = 38.85}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]38.85[/tex].

Answer:

I believe it’s:

Y= 6x

Step-by-step explanation:

Answer:

x= 11/3

Step-by-step explanation:

Answer:

$24.96

Step-by-step explanation:

Total number of gallons irede had in his tank = 6.4gallons

Price per gallon is $3.90

To get the cost of 6.4gallons;

If 1 gallon = $3.90

6.4gallons = $x

Cross multiply

1 * x = 3.90 * 6.4

x = 24.96

Hence Irene spent $24.96 on gas

Answer:

(a) M + W = Indoor= [26 55] Outdoor = [32 49]

(b) The value indicates the sum of the indoor volunteers ages 18-39 so the Value would be, 34.

(c) M – W = Indoor = [8 15] Outdoor = [-16 3]

(d) This value indicates the difference of the volunteers indoors 40. So the value would be 15.

Step-by-step explanation:

If this is wrong my apologies i tried LOL

but i will let you know when i get the results back asap!

The value of the element t11 is 34 and the value of the element at d12 is 15.

Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.

M + W = Indoor= [26 55] Outdoor = [32 49]

The value indicates the sum of the indoor volunteers ages 18-39,

Therefore, the Value would be, 34.

To create a matrix by subtracting the women's matrix from the mens matrix.

Now the difference;

M – W = Indoor = [8 15] Outdoor = [-16 3]

This value indicates the difference of the volunteers indoors 40 so

Therefore the value would be 15.

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Answer: 2 3/5ths are left or 13/5

Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls

Answer:I = ?, P = $500, r = 6%, t = 3 years

Step-by-step explanation:

Answer: 54%

Step-by-step explanation:

The relative frequency of landing on heads is 0.54 or 54%.

Given that Jamie tossed a coin 50 times.
Head showed for 27 times.

Tails showed for 23 times.

We need to find the relative frequency of landing on heads,

The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.

In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.

To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):

Relative Frequency of landing on heads = Number of heads / Total number of tosses

Relative Frequency of landing on heads = 27 / 50

Simplifying this fraction, we get:

Relative Frequency of landing on heads = 0.54

This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.

Therefore, the relative frequency of landing on heads is 0.54 or 54%.

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Answer:

Step-by-step explanation:

Given the ratio of blueberries to strawberries in a fruit salad to be 4:3. The total ratio = 4+3 = 7

If there are 45 strawberries in the salad then we can first calculate the total mixture of both as shown;

amount of strawberries = 3/7 * x = 45

x is the total amount of mixture

from the expression;

3x/7 = 45

cross multiply

3x = 7*45

3x = 315

x = 315/3

x = 105

The amount of blueberries present = 105 - 45 = 60

Hence the amount of blueberries present is 60 blueberries

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are congruent.

Step-by-step explanation:

the y-intercept is 1 because it's on the y(axis). the line from 1 goes down 1 over three so the slope is 1/3.

your equation would be y=1/3x+1

The value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2

The exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: a^m×a^n = a^(m+n); a^m÷a^n = a^(m−n);

(am)ⁿ = a^mn.

Given an equation, (m^5/6) (m^1/6)^7 = m^x

Using the law of exponent, we get,

(m^5/6) (m^1/6)^7 = m^5/6*m^7/6

= m^(5/6+7/6)

= m^12/6

= m^2

Hence, the value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2

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Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

Answer:

160

Step-by-step explanation:

Just divide 1920 into 12

Answer:

rectangular

Step-by-step explanation:

Answer:

The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.

Step-by-step explanation:

i hope this helps!

Answer: 4 and a half

Step-by-step explanation:

Answer:

Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2

Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1

Step-by-step explanation:

We will solve the equations one by one

So,

[tex]14 + 3n = 8n - 3(n-3)[/tex]

Applying Distributive property

[tex]14 + 3n = 8n - 3n+9\\14+3n = 5n+9[/tex]

Subtraction property of equality (Subtracting 14 from both sides)

[tex]14+3n-14 = 5n+9-14\\3n = 5n-5[/tex]

Subtraction property of equality (Subtracting 5n from both sides)

[tex]3n-5n = 5n-5-5n\\-2n = -5[/tex]

Division property of equality (Dividing both sides by -2)

[tex]\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}[/tex]

Second Equation:

[tex]22x + 11 = 4x - 7[/tex]

Subtraction property of equality (Subtracting 11 from both sides)

[tex]22x + 11-11 = 4x - 7-11\\22x = 4x-18[/tex]

Subtraction property of equality (Subtracting 4x from both sides)

[tex]22x-4x = 4x-18-4x\\18x = -18[/tex]

Division property of equality (Dividing both sides by 18)

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

Hence

Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2

Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1

Answer:

13

Step-by-step explanation:

x=3, y=-2 so 3(3)-(2)2=13

Answer:

90gr strawberry jelly

6 sponge fingers

315ml custard

135gr tinned fruit

Step-by-step explanation:

120/4 = 30 * 3 = 90

8/4 = 2 * 3 = 6

420/4 = 105 * 3 = 315

180/4 = 45 * 3 = 135

Answer:

C is the answer.

C has a common difference of "2"

Step-by-step explanation:

You could say that the word "difference" also means Subtraction, so in a simpler way of saying "The common difference of 2" you could say, "Which one of the following is subtracting by 2?"

PLEASE MARK BRAINLIEST

Answer:

lol im stuck too

Step-by-step explanation:

9514 1404 393

Answer:

  B.  4

Step-by-step explanation:

Equating exponents, we have ...

  2x +7 = 15

  2x = 8 . . . . . subtract 7

  x = 4 . . . . . . divide by 2

The equation is true when the value of x is 4.

hope this helps enjoy.