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Dominik [7]
2 years ago
5

Negative sixteen plus the quotient of a number and -4 is -3

Mathematics
1 answer:
IRINA_888 [86]2 years ago
7 0

The number you are in search of is -52.

To find this, we first have to write the equation that goes along with the sentence. For this, we need to take it one term at a time.

Negative sixteen (-16) plus (+) the quotient of a number and -4 (x/-4) is (=) -3.

Now put the parenthesis together

-16 + x/-4 = -3

Now we can solve this for x.

-16 + x/-4 = 3 ---> add 16 to both sides

x/-4 = 13 ----> multiply both sides by -4

x = -52

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11. In a certain town the ratio of the number of cars to that of taxis is 15:4. If
Bess [88]

Answer: 645 cars

Step-by-step explanation:

Divide 172 by 4 to find the multiple which is 43 so if 4 was multiplied by 43 to get 172 taxis you must multiply 15 by 43 which gives 645

4 0
2 years ago
Read 2 more answers
The table and the graph show the relationship between the edge length, x, of a cube and its surface area, y. Is the relation a f
d1i1m1o1n [39]

Answer:

Yes, the relationship between x and y is a non-linear function.

Step-by-step explanation:

Given the table

Edge Length, x            Surface Area, y

1                                             6

2                                            24

3                                            54

4                                             96

  • The table values clearly represent a function, because each input value has one and only one output value. i.e. there is no repetition of x values.

  • Also from the table values and the graph, it is clear that the function is not a linear function, because the graph is not a straight line. Also, In a cubic function, the highest power over the x variable(s) is 3. So, it is not a linear function.

Hence, we conclude that Yes, the relationship between x and y is a non-linear function.

Therefore, the 'last option' is correct.

4 0
2 years ago
How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of
sashaice [31]
Inscribe triangle RST in the square with dimensions 4×4, as shown in the figure. 

from the area of this square, 4*4=16, we remove the triangles with dimensions 
3×4, 2×1 and 2×4, whose side lengths are shown in the figure, and we are left with the area of triangle RST.


so Area(RTS)=16- \frac{1}{2}*3*4-  \frac{1}{2}*2*1-  \frac{1}{2}*2*4=16-6-1-4=5 units squared

similarly, 

Area(LMN)=4*3- \frac{1}{2}*1*4- \frac{1}{2}*2*2- \frac{1}{2}*2*3=12-2-2-3=5 units squared

Thus, the areas are equal.

8 0
1 year ago
Read 2 more answers
. En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1 6 del total, los azules, 2 9 del total, y los
Sholpan [36]

Complete question :

En un concesionario de coches hay modelos de varios colores. Los rojos suponen 1/6 del total, los azules, 2/9 del total, y los blancos, 4/15 del total.

a)¿Cuál de esos colores es el más frecuente?

b) Si hay 40 coches azules, ¿cuántos hay en total?

Responder:

Coches blancos

180 coches

Explicación paso a paso:

Dado que:

Rojo = 1/6 del total

Azul = 2/9 del total

Blanco = 4/15 del total

Para determinar qué color es el más alto, convierta los valores en decimal:

1/6 = 0,166667

2/9 = 0,2222

15/4 = 0,26667

Por lo tanto;

4/15> 2/9> 1/6

Por tanto, los coches blancos son los que más

2.)

Sea Número total = x

Por lo tanto,

2/9 de x = 40

2x / 9 = 40

2x = 360

x = 180

Por tanto, hay 180 coches en total.

4 0
1 year ago
Find the value of x in each case:
Zanzabum

Answer:

x=30\°

Step-by-step explanation:

<u>Find the measures of interior angles in each triangle</u>

Triangle BGC

m

The measures of triangle BGC are 90\°-60\°-30\°

Triangle CGH

we know that

m -----> by consecutive interior angles

we have that

m

so

m

m

substitute

m

we have

m

m

m

remember that

m

60\°+2x+180\°-4x=180\°

60\°=2x

x=30\°

The measures of triangle CGH are 60\°-60\°-60\°

Triangle GHE

m< EGH=90\°-2x=90-2(30\°)=30\°

m< GHE=4x=4(30\°)=120\°

remember that

m

substitute and solve for m<GEH

30\°+120\°+m

150\°+m

m

The measures of triangle GHE are 30\°-120\°-30\°

6 0
2 years ago
Read 2 more answers
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