I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.

Answers

Answer 1

Answer:

7 and 9

Step-by-step explanation:

Variables:

x = smaller number

y = larger number

We can set up two equations with the information given:

5x + 3y = 62

and

y = x + 2

We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.

Next, we need to replace our y in the first equation with the y in the second:

5x + 3y = 62

5x + 3 (x+2) = 62

5x + 3x + 6 = 62

8x = 56

x (smaller number) = 7

Finally, we solve for the larger number by placing it back into the second equation:

y = x + 2

y = 7 + 2

y (larger number) = 9

I hope this helps!

-TheBusinessMan


Related Questions

Which functions are linear

Answers

Answer:

its c

Step-by-step explanation:

six less than six times a number is 12​

Answers

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

6x-6=12
6(3)-6= 12
18-6=12
12=12
The number is 3

PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)

Answers

Hello!

[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.

Answer:

π/4 < x < 5π/4.

circle the staement below 1530 and 12530

Answers

Answer:

1530 < 12530

Step-by-step explanation:

i12530 is a bigger number than 1530

Answer:

what statement?

Ted's taxi service has cabs that can seat 4 people and vans that can seat 15 people. The taxi service can transport a maximum of 134 people in its 17 units. How many vans does Ted's Taci Service have in it's fleet?

A. 19
B. 11
C. 9
D. 6​

Answers

Answer:

D. 6

Step-by-step explanation:

What is the slope-intercept equation for the following line? I need help answering​

Answers

Answer:

y = -4x - 3

Step-by-step explanation:

The b in the slope-intercept equation represents the y-intercept.

The line crosses the y-axis at (0,-3). Therefore, b = -3.

Since the line is decreasing from left to right, the slope will be negative.

From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.

The slope will be -4/1 or -4.

Therefore, the equation of the line will be y = -4x - 3.

Hope that helps.

can someone help me please im struggling and can’t figure these 2 problems out :(

Answers

I’m pretty sure the 2nd question is the bottom one which is the last one I think it says J it’s a bit small tho I’m very sorry if I’m wrong!!!

Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour​

Answers

Answer:

He walked at 1 mile per hour

Step-by-step explanation:

Answer:

He walked at 1 mph

Step-by-step explanation:

x-2y what is the coefficient of x

Answers

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

I will give brainiest to whoever answers correctly !!

Answers

Answer:

the material when you get a chance can you send me the material

Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?

Answers

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.

Then, according to question,

[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]

Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get

[tex]4.15x+5.25(4x)=980.85[/tex]

⇒[tex]4.15x+21x=980.85[/tex]

⇒[tex]25.15x=980.85[/tex]

⇒[tex]x=\frac{980.85}{25.15}[/tex]

⇒[tex]x=39[/tex]

Therefore, 39 pounds of type A coffee were used.

Solve the inequality: |x +5|>-1 please help i will give brainliest thank you​

Answers

Step-by-step explanation:

|x + 5| > -1

Since |y| >= 0 for all real values of y and 0 is greater than -1, there are infinitely many solutions for x.

Answer:

x> -6

Step-by-step explanation:

|x+5|> -1

x+5 > -1

  -5    -5

x> -6

Find the remainder when f(x) = (3x + 10x² + x - 2) divided by (x + 3)

Answers

It would be x=0.32169905...0.62169905...

find all values of theta if theta is in the interval [0degrees,360degrees) and has the given function value

sec theta= -2

Answers

Answer:

[tex]\theta = 120, 240[/tex], in degrees

Step-by-step explanation:

The secant of an angle is given by:

[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]

In this question:

[tex]\sec{\theta} = -2[/tex]

So

[tex]\frac{1}{\cos{\theta}} = -2[/tex]

[tex]-2\cos{\theta} = 1[/tex]

[tex]\cos{\theta} = -\frac{1}{2}[/tex]

In the first quadrant, the angle that has cosine of 1/2 is 60º.

The cosine is negative in the second and in the third quadrant.

The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.

The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º

So the values of [tex]\theta[/tex] in the interval are:

[tex]\theta = 120, 240[/tex], in degrees

Please help I might flunk

Answers

let x represent the price of gold
x + 1.5 week 1
x + 1.5 - 3.375 = x - 1.875 week 2
x - 1.875 + .625 = x - 1.25 week 3
x - 1.25 + 1.5 = x + .25 Week four
the price of gold went up 25 cents in four weeks total

I need help with this word problem please

Answers

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

     = [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

  f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

6
x

5
y
=
14

Find
x
when
y
=
2

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP 8 ml of a 80% acid solution was mixed with 12 ml of a 20% acid solution. What is the percentage of acid in the new solution?

Answers

Answer:

44%

Step-by-step explanation:

So you have 2 bottles. One bottle is 8ml and is 80% acid. the other is 12 ml and is 20% acid.

This means there's 6.4 ml of acid in bottle 1(8*0.8) and 2.4 ml of acid in the other one(12*0.2).

The total amount of liquid is 8+12 = 20

The total amount of acid is 6.4+2.4 = 8.8

Percentage of acid in the new solution is 8.8/20 = 0.44 = 44%

You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches

Answers

D is the right answer I think

Which expression is a factor of 64x^2−25?

8x−5

32x−25

32x−5

8x−25

Answers

Answer:

A

Step-by-step explanation:

Answer:
[tex](8x-5)^{2}[/tex]

Step-by-step explanation:

Rewrite 64[tex]x^{2}[/tex] as [tex](8x)^{2}[/tex]
[tex](8x)^{2}[/tex]−80x+25

Rewrite 25 as 5^2.

(8x)^2−80x+5^2

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

80x=2⋅(8x)⋅5

Rewrite the polynomial. [tex](8x)^2[/tex]−2⋅(8x)⋅5+[tex]5^{2}[/tex]

Factor using the perfect square trinomial rule [tex]a^{2}[/tex] −2ab + [tex]b^{2}[/tex]= [tex](a-b)^{2}[/tex], where a=8x and b=5.
[tex](8x-5)^{2}[/tex]

Round 723,084 to the nearest thousand.

Answers

Answer:

723,000

Step-by-step explanation:

Answer:

723,000

Step-by-step explanation:

Nearest thousand → 1000

723,000

What is the surface area of a unit cube?

Answers

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

How do you write 3% as a fraction

Answers

Answer: 3/100

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

Use the​ four-step method in problem-solving to solve the problem.

Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each​ year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716

Answers

Answer:

A. $56,182

Step-by-step explanation:

$3131 x 14= $43834

$882 x 14= $12348

$43834 + $12348= $56,182

$56,182 x 1=  $56,182

Simplify the following expression 5^-3

Answers

Answer 1/25 or decimal 0.008

Step-by-step explanation:

Answer:

0.008

Step-by-step explanation:

helo

6 Cassius is purchasing flower baskets to
be placed on each table at a volunteer
appreciation lunch. Store A charges $19.25
per flower basket plus a $15.00 delivery fee.
Store B charges $17.50 per flower basket
plus a $30.00 delivery fee. Which inequality
can determine x, the maximum number of
flower baskets that can be ordered for the
total cost at Store A to be less than the total
cost from Store B?
A 19.25 + 15x > 17.5 + 30x
B 19.25 + 15x< 17.5 + 30x
C 19.25x + 15 > 17.5x + 30
D 19.25x + 15 < 17.5x + 30
Lynn me

Answers

Answer:

b

Step-by-step explanation:

i took the test

2x+2+2x-17=180 what's x?

Answers

Answer:

x= 48.75

Step-by-step explanation:

Add like terms

2x+2x and

2-17

4x-15=180

Now subtract -15 to both sides get x by itself

4x-15+15=180+15

4x=195

Now divide by four to each side to get x by itself again

4x/4 = 195/4

x=48.75

Answer:

x=48.75

Step-by-step explanation:

2x+2+2x-17=180(Group like terms)

2x+2x+2-17=180

4x-15=180(Add 15 on both sides)

4x-15+15=180+15

4x=195(Divide both sides by 4 to find the value of x)

x=48.75

Which of the following is equivalent to the phrase "the product of thirty and a number is six"?
n - 6 = 30
30 + n = 6
30n = 6
30 + n = 6

Answers

Answer:

"The product of thirty and a number is six".

30n=6

30n=6 is the right answer.


Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.

Answers

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.

What is the solution to the system?

(
,
)

Answers

Answer:

(12, -12)

Step-by-Step:

I got it right on Edge 2021

Answer:

its 12,-

12

Step-by-step explanation:

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