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vova2212 [387]
3 years ago
7

The sum of two numbers is 109. If four times the smaller number is subtracted from the larger number, the result is 4. What are

the two numbers?
Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Let the numbers be x&y

X+y=109

Taking a as the smallest number we multiply by 4

So according to the question you will have this equation

Y(as the largest number) -4x=4. Y-4x=4

Then find y

Y=4x+4

Substitute y on the first equation to get a

X+y=109

X+4x+4=109

X=21

21+y=109

Y=88

HOPE IT HELPS PLS MARK AS BRAINLIEST

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PLS HELP ILL GIVE BRAINLIST!
RideAnS [48]

Answer:

The length of AP will be 14 units.

Step-by-step explanation:

As P is the centroid of ΔABC as shown in question figure.

As the side AB of the triangle has the midpoint D, the side AC of the triangle has the midpoint F and the side BC of the triangle has the

midpoint E.

Hence, CD, BF and AE being medians of ΔABC.

The point of intersection of these medians will be the centroid of the triangle. Hence, P is the centroid of ΔABC

According to rule, the centroid point of the triangle ΔABC divides each median into two segments in the ratio 2 : 1.

So,

AP = \frac{2}{3} AE

As the value of AE = 21

So,

AP = \frac{2}{3} (21)

AP = 14

So, the length of AP will be 14 units.

Keywords: centroid, triangle

Learn more about the centroid of triangle from brainly.com/question/7722758

#learnwithBrainly

5 0
3 years ago
Brainliest question please help please help me now plz
Kruka [31]

Answer:

Option A)   Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

d\sqrt{(y2-y1)^2+(x2-x1)^2 }

we have

A(-5,-8),M(-1,-3)

substitute the values

r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}

r=\sqrt{(5)^{2}+(4)^{2}}

r=\sqrt{41}\ units

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}

d=\sqrt{(2)^{2}+(-6)^{2}}

d=\sqrt{40}\ units

so

\sqrt{40}\ units< \sqrt{41}\ units

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

Hope that helped :)

8 0
3 years ago
Certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours. Find the probabi
Anna71 [15]

Answer:

Step-by-step explanation:

given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.

Sample size n =16

Std error of sample mean = \frac{\sigma}{\sqrt{n} } \\= 15

x bar follows N(800, 15)

the probability that a random sample of 16 tubes taken from the group will have a mean lifetime

(a) between 790 and 810 hours,

=P(790

(b) less than 785 hours

=P(X

, (c) more than 820 hours,

=P(X>820)\\=p(Z>1.333)\\= 0.0913

(d) between 770 and 830 hours

=P(|Z|

4 0
3 years ago
Please help me by answering this?
Dmitrij [34]

Answer:

180

Step-by-step explanation:

\frac{6}{2} x^{2} | \frac{8}{2}

192-12=180

8 0
2 years ago
you buy a sandwich for $2.95, an apple for $0.85, and a bottle of juice for $1.05. What is the total cost?
user100 [1]

Answer:

$4.85

Step-by-step explanation:

Add the numbers:

2.95

1.05

<u>0.85</u>

4.85

3 0
3 years ago
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