Ask question

Ask question

All categories

3 years ago

12

When the smaller of two consecutive integers is added to fourtimes the larger, the result is 29. Find the integers.

2 answers:

olya-2409 [2.1K]3 years ago

7 0

x + 4(x + 1) = 29

x + 4x + 4 = 29
5x + 4 = 29
5x = 29 - 4
5x = 25
x = 25/5
x = 5
x+1 = 6
<span>Ansver: The two consecutive numbers are 5 and 6.
Check:
x + 4(x+1) = 5 + 4 </span>· 6 = 5+24 = 29 OK!

Viefleur [7K]3 years ago

4 0

.Let small number = x<span>Let large number = y x+4y=29 y-1=x or x+1=y</span>

You might be interested in

Anyone know the answer and the check to the equation 7 - 4c = 3c - 7 ?

Gelneren [198K]

Answer:

c=2

Step-by-step explanation:

7-4c=3c-7

7+7=3c+4c

14=7c

Dividing both sides by 7

c=2

CHECK:

Putting c in the above equation

7-4(2)=3(2)-7

7-8=6-7

-1=-1

Hence the above solution satisfies the given equation

3 0

3 years ago

Read 2 more answers

What are the 6 multiples of 2/5

Iteru [2.4K]

Some examples of multiples of 2/5 are 4/10, 6/15, 8/20, 10/25, 12/30, and 14/35.

4 0

3 years ago

Please help with this

snow_lady [41]

Answer:

B. $- \frac{9}{8}$

Step-by-step explanation:

$\huge\frac{ - 2 {a}^{ - 3} {b}^{2} }{a} \\ \\ \huge = \frac{ - 2 {b}^{2} }{a \times{a}^{ 3} } \\ \\ \huge = \frac{ - 2 {b}^{2} }{{a}^{ 4} } \\ \\ \huge = \frac{ - 2 \times {3}^{2} }{ {( - 2)}^{4} } \\ \\ \huge= \frac{ - 2 \times 9}{16} \\ \\ \huge \red{= - \frac{9}{8} }$

8 0

3 years ago

Which system of inequalities has a solution set that is a line?

Korolek [52]

We're going to solve each of the systems to determine the solution.

<u>System $1$ </u>

$x+y \geq 3\\ x+y \leq 3$

using a graph tool

the solution is the line $x+y=3$

see the attached figure N $1$

<u>System $2$ </u>

$x+y \geq -3\\ x+y \leq 3$

using a graph tool

the solution is the shaded area

see the attached figure N $2$

<u>System $3$ </u>

$x+y > 3\\ x+y < 3$

using a graph tool

The system has no solution

see the attached figure N $3$

<u>System $4$ </u>

$x+y > -3\\ x+y < 3$

using a graph tool

the solution is the shaded area

see the attached figure N $4$

therefore

<u>the answer is</u>

<u>System $1$ </u>

$x+y \geq 3\\ x+y \leq 3$

7 0

4 years ago

Read 2 more answers

BD bisects m m Find m

amm1812

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

$m\angle ABC = 77.2^\circ$

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

$m\angle ABD=m\angle CBD$

Substituting the algebraic expressions for both angles:

$2.5x + 8.6=3.5x - 3.4$

Subtracting 8.6 and 3.5x:

$2.5x - 3.5x = -8.6 - 3.4$

Operating:

$-x = -12$

$x = 12$

The two angles are:

$m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ$

$m\angle CBD=3.5x - 3.4 = 38.6^\circ$

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

$m\angle ABC = 2*38.6^\circ=77.2^\circ$

$\mathbf{m\angle ABC = 77.2^\circ}$

6 0

3 years ago