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2 years ago

Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.

1 answer:

4 0

The answer is: "39 points" .
_______________________________________________________
Explanation:
_______________________________________________________
" x/ 50 = 78/100 " ; in which "x" equals the number of points needed.

_______________________________________________________

To solve for "x" ;
_______________________________________________________

Look at the denominators: 50 * (what value?) = 100.

→ "100 ÷ 50 = 2" .

→ So; "50 * 2 = 100" ;

So, let us look at the numerators:

x * 2 = 78 ;

↔ 2x = 72 ;

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________
→ 78 ÷ 2 = 39 ;

The answer is: "39 points" .
_____________________________________________

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A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is

alisha [4.7K]

Answer: two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

The smaller number was represented by x and its values on the x coordinate.

The larger number was represented by y and its values on the y coordinate.

The larger number is equal to 3 times a smaller number. This means that

y = 3x

Also, the sum of the smaller number and 4 is the larger number. This means that

y = x + 4

4 0

2 years ago

Read 2 more answers

Substitute x with (-2) and y with (-4)<br> Simplify: 5(41 - x) + {-7(y + x)} =

kkurt [141]

Answer:

$257$

Step-by-step explanation:

We want to evaluate:

$5(41 - x) + ( - 7(y + x)$

for x=-2 and y=-4.

We substitute to get:

$5(41 - - 2) + ( - 7( - 4 + - 2)$

We now simplify to get:

$5(41 + 2) - 7( - 6)$

$5 \times 43 + 42$

$215 + 42 = 257$

5 0

2 years ago

Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12. (16/3)√2 16√2

aksik [14]

Volume of cone is given by formula

$V = \frac{\pi r^{2}h}{3}$ -------------------------------------------(1)

We are already given r =2, so we need to find h and then we can find volume

So missing meausre is height here ------------------------------------------------------------------------------

To find h we will use lateral area = $12\pi$ given

Formula for lateral area of cone is $\pi r\sqrt{r^{2}+ h^{2}}$

so we have $12 = \pi r\sqrt{r^{2}+ h^{2}}$

Now plug r as 2 in this equation

$12 \pi = \pi (2)\sqrt{2^{2}+ h^{2}}$

Now solve for h as shown and get h by itself

$\frac{12\pi}{2\pi} = \frac{2\pi\sqrt{4+h^{2}}}{2 \pi}$

$6 = \sqrt{4+h^{2}}$

$6^{2} = \sqrt{4+h^{2}} ^{2}$

$36} = 4+h^{2}$ $36 - 4 = 4+h^{2} -4$

$32 = h^{2}$ $\sqrt{32} = \sqrt{h^{2}}$

$\sqrt{16 \times 2} = h$ $\sqrt{16} \times \sqrt{2} = h$

$4\sqrt{2} = h$ ----------------------------------------------------(2)

Now plug 2 in r place and $4\sqrt{2}$ in h place in volume formula given in (1)

$V = \frac{\pi r^{2}h}{3}$

$V = \frac{\pi (2)^{2}4\sqrt{2}}{3} [/tex][tex] V = \frac{\pi (4)4\sqrt{2}}{3}$

$V = \frac{16 \pi \sqrt{2}}{3}$

so choice (1) is right answer

$(1) \frac{16 \sqrt{2}\pi}{3}$

correct answer --------------------------------------------------------------------------------------------------

$(2) 16 \sqrt{2} \pi$

incorrect answer as correct volume answer we got as $\frac{16 \sqrt{2}\pi}{3}$ --------------------------------------------------------------------------------------------------

$(3) 4 \sqrt{38} \pi$

incorrect answer as correct volume answer we got as $\frac{16 \sqrt{2}\pi}{3}$ --------------------------------------------------------------------------------------------------------

6 0

2 years ago

Read 2 more answers

PLEASE HELP

Zinaida [17]

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4 =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

brainly.com/question/21685473

5 0

2 years ago

I need help with this question I’m struggling with math during quarantine lol

KIM [24]

Answer:

3rd one: $\frac{5\sqrt{6} }{2}$

Step-by-step explanation:

7 0

2 years ago