The consecutive even numbers have a value of 62 and 64
How to determine the consecutive even integers?The sum of the consecutive even integers is given as
Sum = 126
Let the consecutive even integers be x and y
Where
y = x + 2
This means that the variable y has a smaller value
The sum of the consecutive even integers can be represented as
Sum = x + y
So, we have
Sum = x + x + 2
Evaluate the sum
Sum = 2x +2
This gives
2x + 2 = 126
Subract 2
2x = 124
Divide by 2
x = 62
Substitute x = 62 in y = x + 2
y = 62 + 2
Evaluate
y = 64
Hence, the even numbers are 62 and 64
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Which rule must be used to find the number of positive integers less than 1000 that are divisible by 7?.
The number of positive integers smaller than 1000 that are divisible by 7 must be determined using the rule of arithmetic progression.
There are 142 positive integers that are divisible by 7 that are less than 1000.
The positive numbers below 1000 that can be divided by seven include
7, 14, 21, 28,..........994.
The final number under 1000 that is divisible by 7 is 994.
An arithmetic progression's common form is [tex]T_{n} = a + (n-1)d[/tex]
where d is the common difference, n is the number of terms, and a is the first term.
We've :
a is 7 and d is 7.
When we generalize these values, we get at:
[tex]T_{n} = a + (n-1)d\\994 = 7 + (n-1)7\\994 -7 = 7n - 7\\994 = 7n \\n =\frac{994}{7} =142[/tex]
There are hence 142 positive integers below 1000 that are divisible by 7.
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At the mall, Timmy bought a T-shirt and a book for a total of $23. The book cost $12. How much did the T-shirt cost? Let x represent the unknown information. Write an addition equation that models the problem
A salesman earns 20% commission on all the merchandise that he sells. Last month he sold 800$ worth of merchandise. How much commission (in dollars) did he earn last month?
The commission earned by the salesman last month is $160.
What is termed as the commission?A commission is additional pay earned based on the job performance. When you agree to the a commission-based position or commission framework (mostly by signing the agreement), users agree to be paid a set amount of money based on achieving a specific goal—goods marketed, meetings closed, recruits placed, etc.For the given question,
The commission earned by the salesman is 20% on his sells.
Last month total sell = $800.
Let x be the total commission earned.
Then,
20% of 800 = x
x = 20× 800 / 100
x = 160
Thus, the commission earned by the salesman last month is $160.
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5/6x - 9 + 3 - 2/3 simplified
Hey there!
Not very sure if you mean [tex](\frac{5}{6x} )[/tex] or [tex](\frac{5}{6}x)[/tex], but I'll solve both
[tex]\frac{5}{6} x-9+3-\frac{2}{3}[/tex]
First step is to simplify:
[tex]\frac{5}{6} x+-9+3+\frac{-2}{3}[/tex]
Now, we need to combine Like Terms:
[tex](\frac{5}{6}x)+(-9+3+\frac{-2}{3} )[/tex]
[tex]\frac{5}{6} x+\frac{-20}{3}[/tex]
[tex]\frac{5}{6x} -9+3-\frac{2}{3}[/tex]
Simplify:
[tex]\frac{5(1-8x)}{6x} or\frac{-40x+5}{6x}[/tex]
Hope this helps!
Five hundred twelve thousandths in a decimal
Answer:
0.512
Step-by-step explanation:
Answer:
0.512
Step-by-step explanation:
[tex]\frac{512}{1000} =0.512[/tex]
Hope this helps
what number can be divided into 2 and 9 equal groups without a remainder
One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:
[tex]2\cdot9=18[/tex]So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:
[tex]\begin{gathered} \frac{18}{2}=9 \\ \frac{18}{9}=2 \end{gathered}[/tex]It is, therefore the number is 18.
Watch helo video Find the value of f(-3). y = f(x) 9 e 6 4 2 N 6 2 Submit Answer Answer:
when x = -3
f(-3) = 5 5 is the result
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle
True, because multiples of a right triangle triple produces a similar right triangle
False, because doubling the sides of the triangle does not keep the angles congruent
Answer:
True, because multiples of a right triangle triple produces a similar right triangle
Step-by-step explanation:
pls help. hhhhhhhhhhhh
Answer: B
y=3/5 x +4
Step-by-step explanation:
Insert each equasion into the graph with the points from the table and whichever line , lines up with the points is your answer
Simplify open parentheses x to the 2 fifths power close parentheses to the 5 sixths power
Answer:
x 1/3
Step-by-step explanation:
Can someone pls help me with this it would Be a blessing
The Telus Plaza South in Edmonton is approximately 134 m tall. Stacy is lying down near the building. The angle formed by the ground and her line of sight from the ground to the top of the building is 67°. Stacy is 316m from the building's foundation to the nearest meter.
What is slight angle?at an angle, leaning to one side, and not straight or erect, according to the Longman Dictionary of Contemporary English The portrait was hung in an unusual position. at a moderate/sharp angle The sign had a small incline to it.A circular mean, also known as an angular mean, is a mean created specifically for angles and other cyclical values like daytimes and fractional parts of real integers. This is essential since many common measures might not be appropriate for values with an angular distribution.A low-angle shot is one that is taken from a camera angle that is low on the vertical axis, pointing upward and anyplace below the eye line.To learn more about slight angles refer to:
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Which situations represent linear functions? Check all that apply.
The temperature rises and falls over the course of a day. Temperature is a function of time.
A baseball is hit into the outfield. The height of the ball is a function of time.
A car goes 55 mph on the highway. Distance is a function of time.
A child grew 2 inches this year and 1 inch last year. Height is a function of time.
A movie director makes 2 movies per year. The number of movies is a function of the years.
2 Answers:
Choice C and choice E
======================================================
Explanation:
Choice A is ruled out because of the phrasing "rises and falls". A linear function can't do both rising and falling. You must only pick one direction to aim for. Choice B is ruled out for similar reasoning. A parabola is likely a better option for choice B.
Choice C is linear assuming the car stays at 55 mph. Recall that distance = rate*time. In this case, the equation is y = 55x where x is the number of hours and y is the distance traveled in miles. As an example, x = 10 hours leads to y = 550 miles traveled.
Choice D isn't linear. The increase of 2 doesn't match with the increase of 1. Linear functions must have the same amount of increase over the same time gap.
Choice E is linear and the equation is y = 2x, where x is the number of years and y is the number of movies made total. For example, at year x = 10, the director has made y = 2x = 2*10 = 20 movies total.
---------------
If in doubt, graph the situation. If you get a straight line, then the equation is linear.
Answer: c and e
Step-by-step explanation:
4x-2y=-40 liner equation
Solving Linear equation 4x-2y= -40 : x = 10 + 0.5y
What is Linear Equation?
A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and displaystyle b, a 1, ldots, and a n are the coefficients, which are frequently real integers.
Simplifying
4x + -2y to 40
Solving
4x + -2y = 40
fixing the 'x' variable.
x should be moved to the left of all terms, and the right of all other terms.
To each side of the equation, add "2y."
4x + -2y + 2y = 40 + 2y
combining similar terms
-2y + 2y = 0
4x + 0 = 40 + 2y
4x = 40 + 2y
Multiply each side by "4".
x = 10 + 0.5y
Simplifying
x = 10 + 0.5y
Hence, solving for x the value of x = 10 + 0.5y
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what is the equation of a line that passes through -5,0 and 4,3
a polygon is a 2d shape with all straight edges. show via induction that the sum of the interior angles of a polygon with n sides is (n −2) ×180◦. don’t include unneeded base cases. hint 1: it is helpful to know that a triangle’s interior angles always sum to 180◦. you may assume this is true for the problem. hint 2: in order to apply your inductive hypothesis to a polygon, you’ll need to think of it in terms of a smaller polygon. how can you make a smaller polygon out of a big one?
Using the process of induction we can prove that the sum of all angles of a polygon is (n −2) ×180°
In geometry, a polygon is a planar shape characterized by a finite number of segmented straight lines linked to form a network of closed polygons (or polygonal circuit). A polygon is defined as either a bounded plane region or a bounding circuit.
Sum of all angles of a triangle is 180°
Sum of all angles of a quadrilateral is 360°
We know that a triangle has 3 sides.
Hence (n −2) ×180 for n=3 given 180
and (n −2) ×180 for n=4 gives 360.
So we can say that the formula holds by the properties of induction.
The portions of a polygonal circuit are known as its margins or sides. A polygon's vertices or corners are the points where two edges meet. The inside of a solid polygon is sometimes referred to as its body. An n-gon appears to be a polygon with n sides, similar to a triangle, which is a 3-gon.
Hence the formula (n −2) ×180◦ holds for induction.
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brittany is going on vacation and taking her dog pickles along. pickles eats 2 cups of hungry hound dog food each day. brittany wants to know how many days she can feed pickles from a 14-cup bag of hungry hound. which equation can brittany use to find the number of days d she can feed pickles from the bag.
The equation will be 2d = 14 and the number of days d she can feed pickles from the bag is 7 days.
Pickles eat 2 cups of hungry hound dog food each day.
brittany wants to know how many days she can feed pickles from a 14-cup bag of hungry hounds.
We need to find the number of days d she can feed pickles from the bag.
Number of days = d,
So, Every day, Pickles consumes 2 cups of Hungry Hound dog chow.
Pickles then consume cups of Hungry Hound dog chow every day for a few days.
Then,
2*d = 14
[tex]d=\frac{14}{2} = 7[/tex]
Thus, the number of days d she can feed pickles from the bag is 7 days.
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helppppppp A construction company takes 1/4 hours to remove 1/4 metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form. i need this urgentlyyyyyy
The unit rate in metric tons per hour is 1 metric ton per hour.
The unit rate will be calculated by simply performing the division of amount of dirt by amount of time.
Keep the values in formula to find the value of the unit rate in metric tons per hour.
Unit rate = 1/4÷1/4
Performing division on Right Hand Side of the equation to find the value of the unit rate in metric tons per hour.
Unit rate = 1 metric ton per hour
Thus, the unit rate to remove dirt from construction site is 1 metric ton per hour.
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PLEASE HELP!!!!
Part A: Given cosine of theta is equal to radical 2 over 2 comma determine three possible angles θ on the domain [0,∞). (5 points)
Part B: Given θ = 585°, convert the value of θ to radians and find sec θ. (5 points)
a) The angles associated with the cosine function are θ₁ = 45°, θ₂ = 315° and θ₃ = 405°.
b) The secant function of 585° is equal to - √2.
How to determine the value of a trigonometric function associated with a given angle
Graphically speaking, trigonometric functions are relations between two sides of a right triangles related to an angle. There are six trigonometric functions: (i) Two fundamentals (sine, cosine), (ii) Four derivates (tangent, cotangent, secant, cosecant). In the first part, we need to find all the possible angles such that the following trigonometric function is met:
cos θ = √2 / 2
The angles are located in the first and fourth quadrants, respectively. The solutions are θ₁ = 45°, θ₂ = 315° and θ₃ = 405°, respectively.
Now, we need to determine the secant function of 585°. Since the secant function has period of 360°, then we must find an angle coterminal to 585° that is between 0° and 360°:
θ' = 585° - 360°
θ' = 225°
And the trigonometric function is rewritten in terms of fundamental trigonometric functions:
x = 1 / cos θ'
x = 1 / cos 225°
x = 1 / (- √2 / 2)
x = - 2 / √2
x = - √2
The secant function of 585° is equal to - √2.
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If APQR = A TSR, what are the congruent corresponding parts?
The most appropriate choice for congruency of triangles will be given by -
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
What is congruency of triangle?
Two triangles are said to be congruent if all the corrosponding sides and corrosponding angles of the triangles are equals.
There are five axioms of congruency of triangles. They are-
SSS axiom, ASA axiom, AAS axiom, RHS axiom, SAS axiom
Here,
[tex]\Delta PQR \cong \Delta TSR\\[/tex]
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
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How is volume measured for liquids and solids?
Answer: By convention, the volume of liquids and gases is often expressed in units of liters or milliliters, measured with glassware. The dimensions of regularly shaped solids can be measured directly with rulers or calipers, which have linear units, giving volumes in units such as cubic centimeters.
Step-by-step explanation:
State if the three numbers can be the measures of the sides of a triangle.
1) 9, 7, 13
2) 26, 12, 11
3) 11, 2,9
4) 6, 11, 12
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
5) 12,9
7) 11,6
6) 8, 11
8) 12,8
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
What is triangle inequality ?According to the Triangle Inequality Theorem, the total of any two sides in a triangle must be greater than the third side.
Two arcs in a triangle will only come together at their points of intersection if the sum of their radii is larger than the separation between their centers.
In a triangle, the difference between any two sides will be smaller than the third side if any two sides' sums are more than the third.
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
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Write this number in standard form 0.000000005009
Answer: 5.009 x 10^-9
Step-by-step explanation:
PLS HELP! THIS HOMEWORK IS DUE TOMORROW
Rhian scored more in the Math test than in the English test because she had a higher percentage
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that: In the Maths test, Rhian scored 14 out of 17, hence:
Mark percentage = (14 / 17) * 100% = 82.35%
In the English test, Rhian scored 31 out of 39, hence:
Mark percentage = (31 / 39) * 100% = 79.49%
Rhian scored more in the Math test.
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I WILL GIVE YOU BRAINLIST
Answer: take another pic but put it closer
Step-by-step explanation:
A customer wanted to purchase a video game and realized that they were short $5. 32 to be able to pay. Which value is the opposite of being short $5. 32?
−$10. 64
−$5. 32
$5. 32
$10. 64
five times the difference of a number and two is seven more than that number 12) twice a number decreased by four is greater than ten, what numbers satisfy this condition? 13) twice a number decreased by two is equivalent to than number increased by five.
The 3 numbers are 17/4, and the number is equal to or greater than 8, and 7 respectively. We can solve the equation using a linear equation in one variable.
What is a linear equation?A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.
1) Given that
five times the difference between a number and two is seven more than that number
Hence, by forming an equation we get
5(n-2) = n+7
5n -10 = n+7
4n = 17
n = 17/4
2)Given that
twice a number decreased by four is greater than ten, what numbers satisfy this condition
Hence, by forming an equation we get
2n -4 > 10
2n -4+4 > 10+4
2n > 14
2n / 2 > 14/2
n > 7
hence, a number greater than 7 will satisfy the equation.
3) Given that
twice a number decreased by two is equivalent to that number increased by five.
2n-2 =n +5
n = 7
Hence the number is 7
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PLEASE HELP ME QUICKK
It is given that a = 30°. It is also shown that C is a right angle, thus c = 90°. The interior angles of a triangle always add up to 180°. So:
a + b + c = 180
30 + 90 + b = 180
b + 120 = 180
b + 120 - 120 = 180 - 120
b = 60°
Which of the following is a solution of the equation 9 - 2x = -1?
-4
5
4
-5
Answer:
It's 5
Step-by-step explanation:
is 5 kg more than 0.5 kg?
Answer:
yes because 5 is bigger than 0.5 and we are using the same type of mesuremenmeasurement
The local bakery sells both strawberry and chocolate cupcakes. The ratio to strawberry cupcakes to chocolate cupcakes is 8:4. If they baked 240 strawberry cupcakes How many chocolate cupcakes did they bake?
The local bakery baked 120 chocolate cupcakes
The ratio of the strawberry cupcake to chocolate cupcake = 8:4
Number of strawberry cupcakes baked = 240
Ratios: Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.
Let x represent the total number of cupcakes baked by the bakery
The Sum of the ratio is 8+4 = 12
So, the fraction of strawberry cupcakes baked = 8/12
The total number of cupcakes:
= 8/12 of x =240
8/12x = 240
x = 240*12/8
= 360
So, the number of chocolate cupcakes = 4/12 of 360
= 120
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