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alexandr402 [8]
3 years ago
13

Two thirds a number plus 4 is 7

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0
The number is 4.5 because 2 thirds of 4.5 is 3 and 3 plus 4 is 7.

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Mark’s Pool Repair charges $50 for a service call, plus $40/h for labour. Jennifer’s Pools and Spas charges $30 for a service ca
tatyana61 [14]

Multiply each hourly rate by x ( time to complete the work) add it to the service call for each and then set the equations equal:

50 + 40x = 30 +45x

Subtract 30 from both sides:

20 + 40x = 45x

Subtract 40x from both sides:

20 = 5x

Divide both sides by 5

x = 4

The length is 4 hours.

3 0
3 years ago
Convert equation from slope intercept form to standard form y=-7/3x+1
Andrews [41]

Answer:

7x + 3y = 3

7x + 3y = 3

7x + 3y = 3

4 0
2 years ago
WILL GIVE THE BRAINLIEST. PLEASE HELP.
stiks02 [169]

Answer:

300 miles.

Step-by-step explanation:

Distance = Rate * Time

We know the rate, 80 miles per hour.

We know the time, 3.75 hours.

As these use the same time unit, hours, we don't need to change any values.

We can just put these values into the formula:

d=r*t

d=80*3.75=300

Answer: 300 miles.

3 0
3 years ago
Read 2 more answers
100 POINTS + BRAINLIST
mojhsa [17]

Problem 1

Since point P is the tangent point, this means angle OPT is a right angle

angle OPT = 90 degrees

Let's use the Pythagorean theorem to find the missing side 'a'

a^2 + b^2 = c^2

a^2 + 7^2 = 12^2

a^2 + 49 = 144

a^2 = 144 - 49

a^2 = 95

a = sqrt(95)

a = 9.7467943

a = 9.7

----------------

Let's use the sine and arcsine rule to find angle y

sin(angle) = opposite/hypotenuse

sin(y) = 7/12

y = arcsin( 7/12 )

y = 35.6853347

y = 35.7

The value of y is approximate. Make sure your calculator is in degree mode. Arcsine is the same as inverse sine or \sin^{-1}

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

Problem 2

Focus on triangle OHP. This may or may not be a right triangle. The goal is to test if it is or not.

We use the converse of the Pythagorean theorem to check.

Recall that the converse of the Pythagorean theorem says: If a^2+b^2 = c^2 is a true equation, then the triangle is a right triangle. The value of c is always the longest side. The order of a and b doesn't matter.

In this case we have

  • a = 7
  • b = 13
  • c = 16

Which leads to

a^2 + b^2 = c^2

7^2 + 13^2 = 16^2

49 + 169 = 256

218 = 256

We get a false equation at the end, since both sides aren't the same number, which means the original equation is false.

We don't get a^2 + b^2 = c^2 to be true, therefore this triangle is not a right triangle.

Consequently, this means angle OPH cannot possible be 90 degrees (if it was then we'd have a right triangle). Therefore, point P is not a tangent point.

You follow the same basic idea for triangle OQH and show that point Q is not a tangent point either. Or you could use a symmetry argument to note that triangle OPH is a mirror reflection of triangle OQH over the line segment OH. This implies that whatever properties triangle OPH has, then triangle OQH has them as well for the corresponding pieces.

7 0
2 years ago
Read 2 more answers
1. La asistencia a un juego de béisbol profesional fue de 4500 personas y el dinero
Elena-2011 [213]

Resolviendo un sistema de ecuaciones veremos que se vendieron 900 boletos de $15 y 3600 boletos de $10.

<h3> ¿Cuántos boletos de cada tipo se vendieron?</h3>

Primero definamos las variables:

  • x = número de bolteos de $10 vendidos.
  • y = número de bolteos de $15 vendidos.

Sabemos que se vendieron 4500 boletos, entonces:

x + y = 4500

Y se recaudo un total de $49,500, entonces:

x*$10 + y*$15 = $49,500

Entonces tenemos un sistema de ecuaciones:

Para resolver esto, primero debemos aislar una de las variables en la primer ecuación, voy a aislar x:

x = 4500 - y

Ahora reemplazamos esto en la otra ecuación:

(4,500 - y)*$10 + y*$15 = $49,500

Ahora debemos resolver estoy para y.

$45,000 - y*$10 + y*$15 = $49,500

y*$5 = $49,500 - $45,000 = $4,500

y = ( $4,500)/$5 = 900

Entonces:

x = 4500 - 900 = 3600

Se vendieron 900 boletos de $15 y 3600 boletos de $10.

Sí quieres aprender más sobre sistemas de ecuaciones:

brainly.com/question/13729904

#SPJ1

3 0
2 years ago
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