The sum of two consecutive even integers is 122. What are the two numbers?
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62
ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is less than or equal to -1
B. x is greater than or equal to -1
C. x is less than or equal to 0
D. x is greater than or equal to 0
Answer:
Step-by-step explanation:
A. If you need proof message me.
Answer:
D
Step-by-step explanation:
its correct
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag.
Answer:
9
Step-by-step explanation:
→ Divide the number of red marbles by the ratio of red marbles
12 ÷ 4 = 3
→ Multiply 3 by the ratio of 3
9
Class:
ons
Notes/Examples
Parts of an Isosceles Triangle:
• The angle where the legs intersect is called the
• The side opposite the vertex angle is called the
• The angles along the base are called
Answer:
Vertex angle.Base.Base angles.Step-by-step explanation:
Using the Base Angles Theorem to define the terms relating to an isoceles triangle:
The Base Angles Theorem states that if the two sides of a triangle are congruent, then it means that the angles opposite to those sides are also congruent.An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle. The side that is opposite to the vertex angle is the base of the triangle.
Therefore, the following are the missing terms in the given problem:
The angle where the legs intersect is called the vertex angle.The side opposite the vertex angle is called the base.The angles along the base are called base angles.how do you do vectors
Answer:
i learn and solve them easily they r easy
Solve the inequality and enter your solution as an inequality.
8 + x>4
if any concerns or questions on solution, just comment
The ratio of collectible coins Juanita owns to coins that Elia owns is 3:1. Elia has 32 coins. How will the ratio of Juanita’s coins to Elia’s coins change if they both sell one fourth of their coins? Explain.
I need help on 26 please and thank you
Answer:
your answer is 1.65 or E :)
HELP ASAP!!! What is the measurement of where it says 41? I’m not sure if it’s in Feet or meters
Answer:
inches
Step-by-step explanation:
pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.
Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
the coomon factor is 3xy³
by factoring we get
3xy³(4y-7xy²z+12)
In a survey of 2,600 people who owned a certain type of car, 1,820 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
is/of =x/100
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.
Answer:
whats your equation?
Step-by-step explanation:
Ill edit my answer after.
Answer:
Step-by-step explanation: Sorry if im late
What are the roots of the equation?
5x^3 + 45x^2+ 70x = 0
A) -2, 0, 7
B) -7, -3, 0
C) -7, 0 , 2
D) 0, 2, 7
Answer:
D) 0, 2, 7
Step-by-step explanation:
Hope this helps
Drag the expressions to order them top to bottom from least to greatest.
Answer:
|-5[tex]\frac{3}{7}[/tex]|
|5[tex]\frac{1}{7}[/tex]|
|-4[tex]\frac{6}{7}[/tex]|
|-4[tex]\frac{3}{7}[/tex]|
|4[tex]\frac{2}{7}[/tex]|
Step-by-step explanation:
absolute value is how far the the number is away from zero, it does not matter if it is negative or positive
(I’m having trouble with this question, it would be greatly appreciated if I could have some help, thank you)
What is the equation of a line that is parallel to – 2x + 3y = -6 and passes through the point (-2, 0)?
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes
let's put the equation in y=mx+b format (slope-intercept format)
-2x + 3y = -6
add 2x to each side to get:
3y = 2x - 6
divide each side by 3 to get:
y = 2/3x - 2
the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)
now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:
0 = 2/3(-2) + b
0 = -4/3 + b
b = 4/3
equation would be:
y = 2/3x + 4/3
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?
Answer: 5 in
Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.
Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).
What is the area of triangle PQR
Answer:
b
Step-by-step explanation:
cody spent 3 hours and 5 minutes looking for his missing cat if he finally found it at 7:35 what time was it when he originally started
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.
Answer:
z = 3√13
Step-by-step explanation:
The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...
z = √(9(13))
z = 3√13
__
Additional comment
In like fashion, ...
x = √(4(13)) = 2√13y = √(4·9) = 6.__
These relations come about because all of these right triangles are similar. That means their side lengths are proportional.
long side/hypotenuse = z/13 = 9/z ⇒ z = √(9·13)
short side/hypotenuse = x/13 = 4/x ⇒ x = √(4·13)
short side/long side = 4/y = y/9 ⇒ y = √(4·9)
Hal has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly, and Hal will pay each of them back by making monthly payments, starting as he graduates. Hal’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 4,048 5. 9 N Senior 5,295 7. 6 Y Once all of his loans are paid off, what will Hal’s total lifetime cost be? Round all dollar values to the nearest cent. A. $9,023. 28 b. $8,467. 20 c. $11,498. 40 d. $13,615. 20 Please select the best answer from the choices provided A B C D.
Answer:
d
Step-by-step explanation: i chose d
There are two numbers the second number is 1 larger than twice the first number. The sum of the reciprocals of the number is 7/10. Find the two numbers.
Let the first no be x
second no=2x+1ATQ
[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]
[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]
[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]
On solving we get
[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]
Take it 2First no=2
Second no=5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = 2x + 1 ...1
1/x + 1/y = 7/10 ...2
From equations 1 and 2, then we have
1/x + 1/(2x + 1) = 7/10
10(2x + 1 + x) = 7x(2x + 1)
30x + 10 = 14x² + 7x
14x² - 23x - 10 = 0
14x² - 28x + 5x - 10 = 0
14x(x - 2) + 5(x - 2) = 0
(14x + 5)(x - 2) = 0
x = 2, - 5/14
At x = 2, then the value of y is given as,
y = 2 (2) + 1
y = 5
The value of the two variables 'x' and 'y' will be 2 and 5, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
What is the solution for the system of equations?
y=−x+4y=x−2
Question 1 options:
(1, 3)
(−2, 1)
(3, 1)
(1, −2)
Answer:
(3, 1)
Step-by-step explanation:
y = −x + 4
y = x − 2
-x + 4 = x - 2
4 = 2x - 2
6 = 2x
3 = x
y = (3) − 2
y = 1
Answer:
x = 3 and y = 1
Step-by-step explanation:
Bob has a piece of wood that is 3/4 inches long. He decides to cut pieces that are 1/8 inches long. How many pieces can Bob cut?
Answer:
Bob can cut 6 pieces
Explanation:
Since he decided to cut pieces that are 1/8 inches long, divide.
> 3/4 ÷ 1/8
To get the answer which is 6
Can anyone help? I don’t know how to do #28
Answer:
enlarge the equilateral triangle and put -2
Step-by-step explanation:
PLEASE ANSWER THIS AS FAST AS YOU CAN
Answer:
x = 8 and y = 21
Step-by-step explanation:
3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21
Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18
Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18
Then you minus 18 from 90to get 72 = 9x
Then divide 72 by 9 to get x = 8
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also
gave her Skydiving Instructor a tip of $20.
(a) Define the unknown in the scenario and assign it a letter or symbol.
In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?
Answer:
Here plz give brainliest not easy to explain in detail like this
Step-by-step explanation:
We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph: (4, 4290) and (8, 3850)
Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:
m = (y2 - y1)/(x2 - x1) Slope formula
m = (3850 - 4290)/(8 - 4) Substitution
m = -440/4 Solve the subtraction problems in the parenthesis
m = -110 Reduce the fraction
Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line. I will use the first point, but either point will produce the same answer.
y - y1 = m(x - x1) Point-slop e formula
y - 4290 = -110(x - 4) Substitution
y - 4290 = -110x + 440 Distribute the -110
y - 4290 + 4290 = -110x + 440 + 4290 Add 4290 to each side
y = -110x + 4730 Simplify
Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we need to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
i need answers thank you
60 divided by the ratio of 7:3
does anyone know how to do this? find the X,Z,Y