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Goryan [66]
3 years ago
13

At an assembly 4 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 800 st

udents were at the assembly, how many students could be expected to be carrying a backpack?
Mathematics
1 answer:
meriva3 years ago
8 0
Make 4 out of 10 a ratio, 4:10, so that means 40% of the population carry backpacks so 40% of 800 is 320, so I’m thinking it’s 320 students sorry if this is wrong
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Just some questions I need answered!<br><br> Solve 4z &gt; -6<br><br> Solve x + 19 &lt;= -5
Dmitriy789 [7]

4z>-6

divide by 4

z>-6/4

z>-3/2



x+19<= -5

subtract 19 from both side

x<= -24


7 0
3 years ago
Given ​ f(x)=x2+14x+40 ​.<br><br><br> Enter the quadratic function in vertex form in the box.
sammy [17]
Please indicate exponentiation using " ^ "   Thanks.

f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40

Next, complete the square:

</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9 

Write this in the form y = (x+7)^2 - 9  or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
8 0
3 years ago
Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada
oksian1 [2.3K]

Answer:

La ordenada de Q es 7.

Step-by-step explanation:

La ecuación de una recta es:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Para este problema, sabemos que la pendiente es -2

Entonces:

a = -2

y = -2*x + b

También sabemos que esta recta pasa por el punto (5, -1)

Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1

Si reemplazamos esos valores en la ecuación, obtenemos:

-1 = -2*5 + b

-1 = -10 + b

-1 + 10 = b

9 = b

Entonces la ecuación de la recta es:

y = -2*x + 9

Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.

Entonces este punto es Q (1, k)

donde k es la ordenada de este punto.

Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k

Reemplazando eso en la ecuación tenemos:

k = -2*1 + 9 = -2 + 9 = 7

k = 7

La ordenada de Q es 7.

7 0
3 years ago
I NEED HELP PLEASE !!!! ;(
marissa [1.9K]

Answer:

The answer is always

Hope this helps......... :)

7 0
3 years ago
7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
motikmotik

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

7 0
3 years ago
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