find the consecutive even integers such that three times the larger number is 30 more than the smaller one. help :')

Answers

Answer 1

Answer:

12 and 14

Step-by-step explanation:

Let the even integers be x and x+2

three times the larger number is expressed as 3(x+2)

30 more than the smaller one is x + 30

Equating both expressions

3(x+2) = x +30

Find x

3x+6 = x+30

3x-x = 30-6

2x = 24

x = 12

The second integer is 12+2 = 14

Hence the required integers are 12 and 14


Related Questions

Judy studied for 7/12 of an hour and her sister studied for 2/3 of an hour about how much time did they spend studying all together

Answers

Answer:I need that answer for my TEST!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

They studied for a little more than an hour.

Step-by-step explanation:

Help! I'm not sure how to do it

Answers

You can split it to a triangle along with a rectangle underneath.
Formula for calculating triangle:
height x base divide by 2
Firstly we will have to calculate the triangle.
0.8x1.8/2 ( since 1.8 matches the base of the triangle we are looking for) which equals to =0.72 m
Now let’s calculate the rectangle:
1.8 x 2.1 =3.78

Finally add them both together which is:
0.72+ 3.78= 4.5 m

Tamu ran 30 minutes and burned 170 calories. PART B: How many calories did Tamu burn per minute? Write your answer as a decimal. *

Answers

Answer:

Tamu burnt 5.66 calories per minute.

Step-by-step explanation:

Tamu ran for 30 minutes.

Calories burnt by Tamu = 170 calories

Unit rate = [tex]\frac{Calories\ burnt}{Time}[/tex]

Unit rate = [tex]\frac{170}{30}[/tex]

Unit rate = 5.66 calories per minute

Therefore,

Tamu burnt 5.66 calories per minute.


Determine the values of h and k in the equation of g(x).
g(x) = x/x-h+k
3
h=
N
k=
1
X
1
2
3
-3 -2 -1
-1
g(x)
-2

Answers

Answer:

it is 300

Step-by-step explanation:

i nailed the quiz

What is 1 whole and 1/3 - 5/6?

Answers

Answer:

The answer is 1/2.

Step-by-step explanation:

1 1/3-5/6=

1 1/3 needs to be turned into a improper fraction. 1 1/3=4/3.

Now we can do 4/3-5/6 but, the denominator has to be the same. We can make them 8/6-5/6.

*(Whatever happens to the denominator, has to happen to the numerator.)

8/6-5/6=3/6. Typically, the answer could be 3/6 but you could also simplify it to 1/2.

So, the answer would be 1/2.

Hopefully this helps you and sorry if it doesn't.

will mark brainlyest

Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease.

original: 30; new: 90

Answers

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

A bus is traveling at a constant speed and goes 8.4 miles in 5 minutes. Using your strategy, how far does the bus travel in one minute?

Answers

Answer:

The bus travels 1.68 miles in one minute

Step-by-step explanation:

Make a proportion:

? = how far the bus travels

5 - 8.4

1 - ?

Solve: 8.4×1÷5= 1.68

Solve for k.k/2+1/2=3

Answers

Answer:

[tex] \frac{k}{2} + \frac{1}{2} = 3 \\ \frac{k}{2} = 3 - \frac{1}{2} \\ \frac{k}{2} = \frac{(6 - 1)}{2} \\ \frac{k}{2} = \frac{5}{2} \\ \boxed{k = 5}✓[/tex]

k=5 is the right answer.

Classify triangle ABC by its sides. Then determine whether it is a right triangle.
A (3, 3), B(6, 9), C (6,-3)
I

Answers

Answer:

right triangle it is because if u make a graph and put the points u would get a right isosclses triangle

Step-by-step explanation:

The triangle ABC with verticies A(3, 3), B(6, 9) and C(6, -3) is an isosceles triangle.

What is the way of classifying a triangle?

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

Given, A ΔABC with verticies A(3, 3), B(6, 9) and C(6, -3).

We know the distance formula [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

From this we find AB = √45 units, BC = 12 units and AC = √45 units.

Now, this is an isosceles triangle with two equal sides of √45 units.

learn more about the isosceles triangle here :

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Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The

means of the samples are shown below.

Sample

Sample 1

Sample 2

Sample 3

Sample 4

Sample 5

Mean

3.4

3.2

4.1

4.6

3.1

The predicted mean of the population will fall between

3.1 and

15

Answers

Answer:

d!

Step-by-step explanation:

just took the test! gl

Write the equation of the line passing through the points (-4,-1) and (2,8)

Answers

Explanation:Calculate the slope with two given coordinate points by using rise over run.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let these points

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}[/tex]

[tex]m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2} [/tex]

Slope-Intercept

[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]

Substitute the value of m in the equation.

[tex]y = \frac{3}{2} x + b[/tex]

Substitute any coordinate points that are given or part of the graph in the equation.

[tex](x_, y) = ( - 4, - 1)[/tex]

[tex] - 1 = \frac{3}{2} ( - 4) + b[/tex]

Solve the equation for b-term.

[tex] - 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b[/tex]

Rewrite the equation by substituting the value of b in the equation.

[tex]y = \frac{3}{2} x + 5[/tex]

Answer

[tex] \large \boxed{y = \frac{3}{2} x + 5}[/tex]

If you have any questions related to the answer, feel free to ask via comment.

The deck of a ship is 7 feet above the surface of the water. There is
also a cabin that is 14 feet below the deck. Which number describes
the elevation of the cabin?
Note: Your answer is expected to be a number without units for this
problem

Answers

-7 feet because 0 is water level and the deck of the ship is 7 feet above eatet and the cabin is 14 feet below the deck so you subtract 14 from 7 and get -7 (7-14=-7)

THIS IS AN EMERGENCY PLEASE HELP ME!!!!!!!!!

With a coupon, you can get a pair of shoes that normally costs $80 for only $68. What percentage was the discount?

Answers

Answer:

Not sue but I think it’s 12%

Step-by-step explanation:

What is the solution to the inequality -7(1+5m)-29<300+7m

Answers

Answer:

234556678

Step-by-step explanation:

Alton planted a 4 1/6 foot poplar tree in his front yard last year. This year the tree is 8 3/4 feet tall. How manu getting has it grown this year

Answers

4 1/6 + 8 3/4 =  12.9166666667

I don't know math honestly

Evaluate the expression when b=-6 and y=4.
b-6y

Answers

-6 - 6(4)
-6 -24 = -30
So -30 is ur answer :)) hope I helped
-6-6(4)
Multiply -6(4)= -24
-6-24
Add the negatives -30
Answer: -30

A restaurant offers three sizes of coffee and four differerſt types of coffee.
Coffee can be ordered with or without cream and with or without sugar.
The restaurant also has six bagel options. A bagel can be ordered plain, with
butter, or with cream cheese. How many different ways can you choose a
coffee and bagel at this restaurant?

Answers

Answer:  864

=======================================================

Work Shown:

There are,

3 sizes of coffee4 types of coffee2 choices for cream (you pick it or you leave it out)2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

--------------

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

List the ordered pairs and determine whether or not this is a function

Ordered pairs : ?
Is this a function : ?

Answers

The ordered pairs are (1,-1) (1,-2) (2,-3) (2,-4).

This is not a function because in order to be a function, every x value needs to have one and only one y value. You can see here that the x values have two y values, so it is not a function.


A line segment has the endpoints (-7, -4) and (9,8). What are the coordinates of the midpoint
of this line segment?
A. (2, 4)
B.
(-1,2)
C. (-1,-6)
D.
(-8, 2)
E.
(-2,-4)
F.
(1, 2)

Answers

Answer:

c

Step-by-step explanation:

i did this in my head

Answer:

F

Step-by-step explanation:

to find x coordinate for midpoint, add both the x coordinates then divide by two. we get x=1

to find y coordinate for midpoint, add both the y coordinates then divide by two. we get y=2

so the coordinates of midpoint is (1,2), which is F

Which operation would help solve for y?
3+y=27

Answers

Answer:

24

Step-by-step explanation:

Y= 24 all I did was subtract 3 from both sides

5x - 70 = 10
X =
I’ll give brainliest for first answer

Answers

Answer:

x = 16

Step-by-step explanation:

[tex]5x - 70 = 10 \\ 5x = 10 + 70 \\ 5x = 80 \\ x = \frac{80}{5} \\ x = 16[/tex]

x= 16

5(16) - 70 = 10

80 - 70 = 10

What is the percentage of lemons in this group of lemons and strawberries?

Answers

Answer:

50%

Step-by-step explanation:

Jalell is trying to earn enough money to buy and ipad. Of the 1200 he needs. he has earned 900$ So far. What percent of the money has Jalell earned so far?

A.90%
B.75%
C.80%
D.85%​

Answers

900 of 1200 is 75% , if you use a calculator you can divide 900 by 1200 and get .75 and move the decimal two place to the right and get 75%

A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin

Answers

.....The answer is C

7 + 2y^2

Evaluate the expression for
Y = 5.


Please help me

Answers

Answer:

107

Step-by-step explanation:

We first need to input the values of the variables.

7 + 2 x 5^2

7+10^2

7+100 = 107

I NEED HELP! PLZ! 20 POINTS. :)

Answers

Answer: i have no clue?

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

100 = 2x + 4y > 100 = 2x+40 > 60 = 2x> x = 30

Find the Perimeter of

Answers

Answer:

78

Step-by-step explanation:

Since the two angles at the bottom are congruent, you would the two equations equal to each other. So it would be:

5x-19=2x+11

Once you simplify, you will find that x= 10.

Then you plug in x for both equations, so 5(10)-19= 31 and 2(10)+11= 31

So you add up the sides: 31+31+16= 78

True or False: If a quadratic equation cannot be factored, then it doesn't have any solutions.​

Answers

If a quadratic equation cannot be factored then it will have at least one imaginary solution.

In simpler terms, the answer you’re looking for is false :)

The given statement is false because a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

A quadratic equation is a type of polynomial equation that can be written in the form ax² + bx + c = 0, where a, b, and c are constants and x is a variable.

If a quadratic equation cannot be factored, it does not mean that it does not have any solutions.

A quadratic equation may have no solutions if the discriminant, which is the quantity b² - 4ac, is less than zero.

In this case, the quadratic equation has no real solutions, as the solutions would be complex numbers.

However, if the discriminant is equal to zero, the quadratic equation has one solution, which is the value of x that makes the equation equal to zero. If the discriminant is greater than zero, the quadratic equation has two solutions, which are the values of x that make the equation equal to zero.

In summary, a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.

Thus, the given statement is false.

Learn more about quadratic function here:

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What is the radius of this circle?​

Answers

Answer: the answer is 7cm

Step-by-step explanation:if the diameter is 14, just do 14/2=7

Evaluate 4tan 45°. can someone help me im confused

Answers

Answer:

4

Step-by-step explanation:

tan 45° = 1

so,

4tan 45° = 4*1

= 4

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