All categories

3 years ago

Solve 4(t - 7) = 12 - t * how can I solve this ?

Mathematics

1 answer:

sladkih [1.3K]3 years ago

5 0

Answer:

t = 8 

hope it help you

thanks!

You might be interested in

One angle of a right triangle measures 21∘. What is the measure of the other angle?

Mademuasel [1]

Answer: 24

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Arif's backyard is 22 by 36 meters. He wants to put a flower garden in the middle of the backyard, leaving a strip of grass of u

KIM [24]

Answer:

Paso 1:

Encuentra el área del patio trasero

Dado eso, el patio trasero mide 24 por 30 metros.

Área = largo x ancho

Área = 24 x 30 = 720

Por lo tanto, el área del patio trasero es de 720 metros cuadrados.

Paso 2:

Dado que el área de césped = 368 metros cuadrados

Luego, área de jardín = área de patio trasero - área de césped

área del jardín = 720 - 368

área de jardín = 352 metros cuadrados

Paso 3:

Encuentra las dimensiones del jardín

Sea "x" el ancho de la franja de césped

Entonces, las dimensiones del jardín son:

Longitud del jardín = 24 - 2x

Ancho del jardín = 30 - 2x

Luego,

área del jardín = (24 - 2x) (30 - 2x)

Factoriza el lado izquierdo

(x - 23) (x - 4) = 0

Por propiedad de factor cero,

x = 23 o x = 4

La solución x = 23 hace que las dimensiones del jardín sean negativas, por lo que la rechazamos

5 0

4 years ago

The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of

k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³ ----- Equation (1)

However, in the measurement of shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³ -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³

y ( Gallons of water ) = 8 m³

y ( Gallons of water ) × 12.5 m³ = 3000 gallons of water × 8 m³

y ( Gallons of water ) = $\frac{3000 gallons of water * 8 m^3 }{12.5m^3}$

y ( Gallons of water ) = $\frac{24000}{12.5}$

y ( Gallons of water ) = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

6 0

4 years ago

Read 2 more answers

Solve for x the triangles are similar

Reil [10]

Answer:

x = 13

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{DC}{DU}$ = $\frac{CB}{UT}$ , substitute values

$\frac{11x-13}{60}$ = $\frac{169}{78}$ ( cross- multiply )

78(11x - 13) = 10140 ( divide both sides by 78 )

11x - 13 = 130 ( add 13 to both sides )

11x = 143 ( divide both sides by 11 )

x = 13

3 0

3 years ago

Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len

Ksju [112]

Since the given coordinates are already in order,
then and two consecutive distances between the coordinates will give length and breadth,

Using distance formula,
$\sqrt{ {( - 1 - 3)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ { (- 4)}^{2} } \\ = \sqrt{16 } \\ = 4$
(we'll not consider the negative value since distances can't be negative)

Applying this again on 2nd and 3rd coordinates,
$\sqrt{ {(3 - 3)}^{2} + {(6 - 1)}^{2} } \\ = \sqrt{ {5}^{2} } \\ = 5$
(we'll not consider the negative value since distances can't be negative)

Since length's always gotta be greater than bredth
therefore,
the difference will be 5-4= 1 units

Hence width is 1 unit shorter than length.

Note: Unit used is "unit/s"

6 0

4 years ago