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VARVARA [1.3K]
3 years ago
13

The smallest of three consecutive integers is added to four times the largest integer; the result so obtained is 15 less than th

ree times the middle integer. Find the integers. ​
Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

Let the three consecutive integers be x,x+1,x+2

ATQ

x+2(x+2)+15=4(x+1)

=3x+19=4x+4

= x=15

..... Hence. The nos. Are 15,15+1=16 and 15+2=17

Step-by-step explanation:

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Given the points (6, 6) and (-7, -6) find the slope.
ANEK [815]

Answer:

12/13

Step-by-step explanation:

m=(-6-6)/(-7-6)=-12/-13=12/13

5 0
3 years ago
If x+y= 15, y+z=25, and x+z=20, what is the arithmetic mean of x,y, and z
Mama L [17]
X + y = 15
Rearrange this to isolate for x.
x = 15 - y


x + z = 20
Rearrange this to isolate for x also.
x = 20 - z

Since they are both equal to x, that means they are equal to each other (x = x)

Set them equal to each other. 

15 - y = 20 - z
Now, isolate for y.

y = 15 - 20 + z

Now, use y + z = 25 and isolate for y.
y = 25 - z

Since they are both equal to y, we set them equal to each other.

15 - 20 + z = 25 - z
Solve for z
z + z = 25 - 15 + 20
2z = 30
2z/2 = 30/z
z = 15

Now you can plug the value for z into the other equations to find y and x.

x + z = 20
x +15 = 20
x = 20-15
x = 5

y + z = 25
y + 15 = 25
y = 25 - 15
y = 10

6 0
3 years ago
Solve 48-x=10x+12-4x
MissTica
The answer is 5 and 1/7
6 0
3 years ago
Read 2 more answers
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill bef
QveST [7]

Answer:

$35.2

Step-by-step explanation:

% saved = 25%

Money saved = $8.80

Let x be the bill before the coupon discount.

25/100 × x = 8.80

x = $35.2

7 0
3 years ago
Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

#SPJ1

4 0
2 years ago
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