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2 years ago

Sorry about the last question i forgot to put the picture but i need help cause i don't get it

Mathematics

1 answer:

kupik [55]2 years ago

6 0

Answer:

21:8

Step-by-step explanation:

Given information:

Lori (x) is 8 years old.

In 5 years (x + 5), Philip will be twice Lori's age (y + 5 = 2(x + 5))

The missing value, y, is needed to find the ratio for Lori's and Philip's ages in the present. To find y, solve this equation:

y + 5 = 2(x + 5) First, distribute the 2 into x + 5.

y + 5 = 2x + 10 Next, isolate the variable y by subtracting 5 from both sides.

y = 2x + 5 After that, add in the value of x, 8.

y = 2(8) + 5 Finally, simplify the right side to find Philip's age.

y = 16 + 5

y = 21

Now for the easiest part: The ratio of Philip's age now to Lori's age now.

because 21 is not divisible by any of 8's factors, the current ratio of 21:8 cannot be simplified further.

So, the ratio is 21:8

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X^2 - 4x + 3 how do I factor the expression completely

Ipatiy [6.2K]

Bx must be the sum of the numbers in the bracket and c must be the product. So we need to choose 2 numbers that multiply to make 3 and add to make -4.

A negative x negative = positive so
-3*-1=3
-3-1=-4

Therefore:
(x-3)(x-1)

8 0

3 years ago

Read 2 more answers

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4

djyliett [7]

Answer:

$4\dfrac{3}{8}$ cups of flour

Step-by-step explanation:

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour.

Then this recipe, which yields one muffin, calls for

$\dfrac{2}{3}:12=\dfrac{2}{3}\cdot \dfrac{1}{12}=\dfrac{1}{18}$

cup of milk for every

$1\dfrac{3}{4}:12=\dfrac{7}{4}\cdot \dfrac{1}{12}=\dfrac{7}{48}$

cups of flour.

Thus,

this recipe, which yields a batch of 30 muffins, calls for

$\dfrac{1}{18}\cdot 30=\dfrac{5}{3}=1\dfrac{2}{3}$

cups of milk for every

$\dfrac{7}{48}\cdot 30=\dfrac{210}{48}=\dfrac{35}{8}=4\dfrac{3}{8}$

cups of flour.

4 0

3 years ago

PLEASE HELP MARKING BRAINLIEST

xeze [42]

Answer:

a5 =243 x (1/3)^(5-1) = 243x 1/81 =3

Explanation

a(n) = a(1) x r^(n-1)

4 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

What is ___x5=20 3x _____=6 2+ ____=16 3x____=24 9x____=34 12+____=2

nydimaria [60]

Answer:

4×5=20

3×2=6

2+14=16

3×8=24

9×4=36, 36 -2 = 34

12+(-10) =2

4 0

2 years ago