4. Two consecutive even numbers are such that the sum of the larger number and three times the smaller number is 42. Find the two numbers.

Answers

Answer 1

Answer: The two numbers are 10 and 12.

Step-by-step explanation:

Let the two consecutive numbers are x and x +2.

As per given, we have

[tex](x+2)+3x=42\\\\\Rightarrow\ 4x+2=42\\\\\Rightarrow\ 4x=40\\\\\Rightarrow\ x=10[/tex]

Smaller number = 10

Larger number = 10+2=12

Therefore, The two numbers are 10 and 12.


Related Questions

An uber charges a flat rate of $6 plus $1.25 per mile. Kayla can spend no more than $27.50. If she wants to tip her driver $4, what is the greatest number of miles she can uber? Define the Variable for situation #1 and write an equation or inequality that represents this situation using the variable

Answers

Answer:

The cost of the uber is a $6 flat rate plus $1.25 per mile.

Then if you take an uber for x miles, the cost will be:

c(x) = $1.25*x + $6

Now, in this case Kayla also wants to add a tip of $4, then the total cost will be:

c(x) = $1.25*x + $6 + $4  = $1.25*x + $10

And we have the restriction that Kalya can't spend more than $27.50

Then the cost must be equal or smaller than $27.50, we can write this as:

c(x) ≤ $27.50

$1.25*x + $10 ≤ $27.50

Whit the above equation we can find the maximum value of x if we isolate x in one side of the inequality.

$1.25*x + $10 ≤ $27.50

$1.25*x ≤ $27.50 - $10

$1.25*x ≤ $17.50

x ≤ ($17.50/$1.50)

x ≤ 11.67

So the maximum number of miles that she can travel on that uber is 11.67 miles, but in this cases we only work with whole numbers, so we should round it to the next whole number that meets the condition, which is 11.

x = 11

The maximum number of miles that she can travel on that uber is 11 miles.

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 5.

Answers

Answer:

What image? (9/ -0) Is 9 - 8 =1

Step-by-step explanation:

Answer:

you dont have the image of the graph.

Step-by-step explanation:

math question help pls

Answers

Answer:

Negative

Step-by-step explanation:

Hello There!

The points on the scatter plot show some sort of correlation as they are grouped closely enough to create a trend line ( a line drawn where most points are at. )

If you were to draw a line through the points, the line would have a negative slope as  most of the points go down from left to right indicating that the correlation is negative

The answer is negative

) Which expression is equivalent to
- 7?
(0+21) 10-2
(21)
(6+21)
(6 - 21)
3

Answers

Answer: no expressions are equal to -7.

5 hours on Monday, 4.5 hours on Tuesday, and 2.5 hours on Wednesday. What is the mean number of hours she worked over the three-day period?

Answers

Answer:

Mean = 4

Step-by-step explanation:

Mean = (Sum of all numbers)/(How many numbers there are)

There are 3 numbers

Mean = (5 + 4.5 + 2.5)/3

Mean = 12/3

Mean = 4

Answer:

[tex] \frac{5 + 4.5 + 2.5}{3 } = \frac{5 + 7}{3} = \frac{12}{3} = 4[/tex]

Gavin can type 3600 words in 60 minutes.
Dan can type 3850 in 70 minutes.
Colin can type 3500 words in 70 minutes.
Who types at the fastest rate of words per minute?

Answers

Answer:

Gavin

Step-by-step explanation:

Gavin: 3600 words / 60 minutes = 60 wpm

Dan: 3850 words / 70 minutes = 55 wpm

Colin: 3500 words / 70 minutes = 50 wpm

Jenna received a 17% tip from a customer. The customer's bill was $31.28. How much was Jenna's tip? Round to the nearest hundredth. ​

Answers

Answer:

Her tip was $5.32.

Step-by-step explanation:

To find the tip amount, all you need to do is multiply 31.28 by 17% (0.17).

Good Luck!

Help<33
4x+7y=-2, y=2

Answers

Answer:

x= -4

Step-by-step explanation:

4x+7y = -2

4x+14 = -2

4x = -16

x = -4

Jesse bought a $340$ -gram bag of coffee beans. He uses $18.75$ grams of coffee beans each day. When there are $40$ grams of coffee beans remaining in the bag, Jesse will buy another bag to make sure he doesn't run out of coffee.

Answers

Answer:

I will make sure he doesnt run out for you.

Step-by-step explanation:

An algebraic expression that contains three terms is called?
1. Monomial
2. Binomial
3.Trinomial

(Don’t answer)
This is the base tell me if you like it KaydieD

Answers

Answer:

Trinomial is the correct answer

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Please help! I need this to pass. If you are trying to get points please just chose a different question and don't mess with mine. I am in a state of trouble and I just need a helping hand.

Answers

The answer is 41

Step-by-step explanation:

To solve this we must use the formula a^2+b^2=c^2. if we substitute in the values we get 9^2+40^2=c^2. The first variable is 81, then the b variable is 1600. The hypotenuse is the c value. 81+1600 is 1681, now we must find the square root of 1681. The answer is 41. Tell me if I'm wrong :)

1 2 3 4 5 6 7 8 9 10
TIME REMAINING
55:17
Consider the triangle.

A triangle has 3 60 degree angles.

Which statement is true about the lengths of the sides?

Each side has a different length.
Two sides have the same length, which is less than the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the length of the third side.
Mark this and return

Answers

Answer: Option 3 or C. The three sides have the same length.

Step-by-step explanation: Trust Me!

An equilateral triangle has all three sides the same length.

Took the quiz on Edge and got the answer correct.

Good luck everyone!  :)

How many solutions does the equation 5x + 3x − 4 = 10 + 8x have? (4 points)

a
No Solution

b
One

c
Two

d
Infinitely many

Answers

Step-by-step explanation:

[tex]5x + 3x - 4 = 10 + 8x \\ 8x - 4 = 10 + 8x \\ 8x - 8x = 10 + 4 \\ = 14[/tex]

Since x has been eliminated (8x-8x = 0), there are no solutions in this equation.

is 15 + k an equation? answer please

Answers

Answer:

No, I don't think so; an equation must have an equal sign in it. Expressions, however, do not have equal signs in them. Therefore I think 15 + k is an expression, not an equation. Hope this helps :)

Ben paid $45 for an old guitar. He cleaned the guitar then resold it after marking up the price 15%. He used 36% of the money he got for the guitar to buy books. How much money did Ben spend on books?

Answers

Answer: I couldn't help you,but here's the answer. I'm not the bot the bot doens't have a cute anime chacter as their profile pic.

https://www.chegg.com/homework-help/questions-and-answers/ben-paid-45-old-guitar-cleaned-guitar-resold-marking-price-15--used-36-money-got-guitar-bu-q66963289

I am confused. I believe it is 5(x^2+2)=45

Here is the problem: 5 times the square of a number and 2 is 45.​

Answers

Answer:

Step-by-step explanation:

Answer:

x=2.16/x= -4.16

Step-by-step explanation:

you must use quadratic formula if the solved equation cannot be factorised

HELPPPP pleaseeeeeeew !!!! :)

Answers

Answer:

Look at the ️ picture, I think this will help u to get your answer.

- 4/9 times - 5/8 in fractions.

Answers

Answer:

5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.

Step-by-step explanation:

The product of -4/9 and -5/8 is 5/18.

Given are two negative fractions -4/9 and -5/8, we need to find their product,

To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.

Let's find the product of -4/9 and -5/8:

Product = (-4/9) x (-5/8)

To calculate the product, multiply the numerators and denominators:

Product = (-4 x -5) / (9 x 8)

Simplifying the multiplication:

Product = 20 / 72

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:

Product = (20/4) / (72/4)

= 5/18

Therefore, the product of -4/9 and -5/8 is 5/18.

Learn more about Fractions click;

https://brainly.com/question/10354322

#SPJ2

What is the value of (5r+1/5)² when r = 1?

Answers

Answer:676/25

Step-by-step explanation:

when r=1

(5(1)+1/5)^2

(5+1/5)^2

((25+1)/5)^2

(26/5)^2

676/25

A piece of stone art is shaped like a sphere with a radius of 4 feet. What is the volume of this sphere? Let π≈3.14
π

3.14
. Round the answer to the nearest tenth.

Answers

Answer:

267.9 feet^3

Step-by-step explanation:

V = 4/3πr^3

4/3 * 3.14 * 4^3 = 267.946666

Could someone please help?

Answers

Answer:

1. 7% change increase

2. 27%change decrease

3. 39% change decrease

4. 29% change increase

Step-by-step explanation:

I hope this is right

Hi if anyone could help that’d be amazing, tysm

Answers

Answer:

I can't help you too much but for the first one its never repeat your ex

please help me on this! Its due tomorrow.

Answers

a. 20 students are in 5th grade
b. 231 ounces of nuts

the point V(2,5) is rotated 180 degrees clockwise around the origin what are the coordinates of the resulting plot

Answers

Answer:

(-2,-5)

Step-by-step explanation:

When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y)

Answer:

(-2 , -5)

Step-by-step explanation:

rotated 180 degrees clockwise around the origin: (x , y) -> (-x , -y)

5(2x - 8) - 15 = 5

Show/Write the steps you would use to solve the equation.

Answers

Answer:

x=6

Step-by-step explanation:

Solve for x:

5 (2 x - 8) - 15 = 5

5 (2 x - 8) = 10 x - 40:

10 x - 40 - 15 = 5

Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):

10 x + (-40 - 15) = 5

-40 - 15 = -55:

10 x + -55 = 5

Add 55 to both sides:

10 x + (55 - 55) = 55 + 5

55 - 55 = 0:

10 x = 5 + 55

5 + 55 = 60:

10 x = 60

Divide both sides of 10 x = 60 by 10:

(10 x)/10 = 60/10

10/10 = 1:

x = 60/10

The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:

Answer: |

| x = 6

You bet $7 on a local race being held for charity. The payoff odds given by the charity event are 12:1. Find your net profit for winning your bet in the race.

$74

$84

$91

$80

Answers

Answer:

$84

Step-by-step explanation:

12:1 means for every dollar you bet you will win 12

so 7 x 12 = 84

you would win $84, you bet 7 so net profit would be 84-7 = $77

Net profit is $77

Please help 10 points

Answers

Answer:

D 16nsnsbsnshshshshshs

Triangle DEF has side lengths e=9 and f=13. If the measure of angle D is 41°, what is the length of side d?

• 13.5
• 5.1
• 6.9
• 8.6

Answers

Answer:

8.6

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D[/tex]

[tex]d^{2} = 9^{2} + 13^{2} - 2(9)(13) cos 41\\ = 81 + 169 - 176.602\\ = 73.3979\\d = \sqrt{73.3979} = 8.6[/tex]

OKA AGAINN WITH RIGHT PICTURE HELPPPP

Answers

Step-by-step explanation:

Linear functions have a constant rate. l, domain of all real numbers, and doesnt have a vertex

Answer:

Linear functions have a constant rate. l, domain of all real numbers, and doesn't have a vertex.

Step-by-step explanation:

linear functions are a straight line. domain numbers can be but not limited to: -999 or 999, positive and negative numbers are included but not those with π or √ do not count because they are not real numbers. It doesn't have a vertex because it is a straight line, so therefore there is no vertex.

Name the x-axis of symmetry for the parabola down below

Answers

Answer:

x = - 3

Step-by-step explanation:

The axis of symmetry is a vertical line passing through the vertex of the parabola with equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 6), (- 3, 4 ) with x- coordinates - 3

Then equation of axis of symmetry is x = - 3

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