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Andrej [43]
3 years ago
7

Nolan and Tyler both plan to run for a spot on the school board in their city. They must each collect a certain number of signat

ures to get their name on the ballot. So far, Nolan has 14 signatures, but Tyler just started and doesn't have any yet. Nolan is collecting signatures at an average rate of 5 per hour, while Tyler can get 19 signatures every hour. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How many hours will have gone by? How many signatures will they both have?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

a

Step-by-step explanation:

a

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Consider the following Rhombus. Solve for X
liq [111]

maybe since the rhombus is divided into triangles it'll be easier. x = 8

Step-by-step explanation:

the total degrees in a triangle would be 180 and the inner little angles would be 90 degrees so you would solve for (7x - 1) + (4x + 3) + 90 = 180 so 11x + 2 = 90 so 11x = 88 so x = 8

hope this helps!

7 0
3 years ago
I need help with this word problem ASAP
Vsevolod [243]

Answer:

The road width is x = 10 m.

Step-by-step explanation:

A formula for the area of the horizontal rectangle is A1 = (x)(20 m).

A formula for the small rectangle on top of that is A2 = (x)(18 - x).

The total area of the new roadway is 280 m^2.

Summing up A1 and A2 and equating the result to 280 m^2, we get:

20x + 18x - x^2 = 280

Rewriting this in the standard quadratic form:

-x^2 + 38x - 280 = 0

Here the coefficients are a = -1, b = 38 and c = -280.

The discriminant is thus b^2 - 4ac, or:

38^2 - 4(-1)(-280) = 1444 - 4(280) = 324, or 18^2.

Thus, the roots (x-values) are:

      -38 ± 18

     -------------- = 28 and 10

            -2

Only the value x = 10 makes sense here, so we omit the other value (28).

The road width is x = 10 m.

x = ----------------------

7 0
3 years ago
Answer to the question below is:
katen-ka-za [31]

Answer:

Answer: 2x - 1

The x intercept is -1 and slope is 2

Branliest would be appreciated :)

5 0
4 years ago
On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
Margaret [11]

A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<em><u>Solution:</u></em>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount paid each month } \propto \text{ number of international texts sent that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

Last month, she paid $3.20 for 16 international texts

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0
4 years ago
I really need help. Evaluate each expression for g = -7 and h = 3 and match it to its value.
neonofarm [45]

9514 1404 393

Answer:

  1. 10
  2. 46
  3. 2
  4. -21
  5. -10
  6. -4

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  h - g = 3 - (-7) = 3 + 7 = 10

  g² - h = (-7)² -3 = 49 -3 = 46

  g + h² = -7 +3² = -7 +9 = 2

  gh = (-7)(3) = -21

  g - h = -7 -3 = -10

  g + h = -7 +3 = -4

7 0
3 years ago
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