Answer:
5, 6, 7
Step-by-step explanation:
5 + 6 + 7 = 18
Answer:
15,16,17
Step-by-step explanation:
The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.
Let a,b,c be positive integers
Let a be the smallest integer.
Because the answer says the sum of the integers has to be 18 more than 2 x the smallest integer. It means the situation can be represented as:
a + b + c = 2a + 18
Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.
a = a
b = a + 1
c = a + 2
Now we can solve for a:
a + (a+1) + (a+2) = 2a + 18
a + a + 1 + a + 2 = 2a + 18
3a + 3 = 2a + 18
a + 3 = 18
a = 15
then we can fill in the rest.
b = (15) + 1 = 16
c = (15) + 2 = 17
Now we verify.
15 + 16 + 17 = 2(15) + 18 ?
15 + 16 + 17 = 48
2(15) + 18 = 48
We now have the solution. The consecutive numbers, are, and can only be
15,16,17
An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?
It takes the diver 5 s to reach the water.
Quadratic equationsThese are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)
Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.
The diver reaches the top of the water when f(x) = 0.
So, equating f(x) to zero, we have
f(x) = 0
-2(x-5)(x+1) = 0
Dividing through by -2, we have
(x-5)(x+1) = 0
So, (x - 5) = 0 or (x + 1) = 0
x = 5 or x = -1
Since time cannot be negative, x = 5 s.
So, it takes the diver 5 s to reach the water.
Learn more about quadratic equations here:
https://brainly.com/question/24860429
A city’s population is 12,800. It is predicted that the population will increase by 3% each year.
Part a: Write a function that can be used to find the city’s population after t years.
Part b: If the city’s population, p, continues to grow 3% per year, what will the approximate population be in 15 years. Round to the nearest integer.
Answer:
18,560
Step-by-step explanation:
3 percent *12800 =
(3:100)*12800 =
(3*12800):100 =
38400:100 = 384
384*15 = 5760
12800 + 5760 = 18560
Write the word sentence as an inequality.
the sum of a number w and 2.56 is at least 10.24
Answer:
w + 2.56 ≥ 10.24
Step-by-step explanation:
The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24
A manager drew this box-and-whisker plot to represent the ages of the company's 240 employees.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.
How many employees are younger than 42?
Select from the drop-down menu to correctly complete the statement.
About
Choose... 24,48,60,75
employees are younger than 42.
Answer:
its 60
Step-by-step explanation:
i took the test
Answer:
60
Step-by-step explanation:
just took the test !!! got 100%
Select the three equations that are equivalent to the equation 3x−4=5.
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. x = 9
4. x - 4 = 2
5. -4 = 5 - 3x
Hey there!
Solving
3x - 4 = 5
Add 4 to both sides
3x - 4 + 4 = 5 + 4
3x = 9
x = 9/3
x = 3
Equivalent expressions are:
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. 4 = 5 - 3x
If you're confused about the last one
Solving
−4=5−3x
Step 1: Simplify both sides of the equation.
−4=5−3x
−4=5+−3x
−4=−3x+5
Step 2: Flip the equation.
−3x+5=−4
Step 3: Subtract 5 from both sides.
−3x+5−5=−4−5
−3x=−9
Step 4: Divide both sides by -3.
−3x/−3 = −9/−3
x=3 (Still the same answer)
Solve the equation for x:
3x+5=20
Answer:
x = 5
Step-by-step explanation:
3x+5=20
Subtract 5 from both sides.
3x=20−5
Subtract 5 from 20 to get 15.
3x=15
Divide both sides by 3.
x= 15/3
Divide 15 by 3 to get 5.
x=5
Helppp.
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
The figure can be divided into a triangle and a rectangle.
The area of a triangle is 10 sq inches.
The area of a rectangle is 80 sq inches.
The total area of the figure is 90 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
The figure can be divided into a triangle and a rectangle.
The height of the triangle is 2 inches and the base is 10 inches.
We know the area of a triangle is (1/2)×base×heiht.
∴ Area = (1/2)×10×2 sq inches.
Area = 10 sq inches.
We know the area of a rectangle is length×width.
∴ Area = (10×8) sq inches.
Area = 80 sq inches.
The total area of the figure is (10 + 80) sq inches = 90 sq inches.
learn more about rectangles here :
https://brainly.com/question/14207995
#SPJ6
Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
What is apothem?
Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .
The length of apothem (a) is given by:
[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
Find out more on apothem at: https://brainly.com/question/369332
Can someone help? Please and thankyou
What is the area of the parallelogram shown?
Answer:
16
Step-by-step explanation:
Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.
At that point you can compute the area by multiplying base and height, and the total surface is 16.
Simplify 2b –7+3+4 –+3
Answer:
Hope this helps :-)
Step-by-step explanation:
I don't know which one it is, but the answer to the one in the picture is 4b+14and the answer to the one on brainly is 2b-3Answer:
4b
Step-by-step explanation:
2b+3b-b-7+4+3
4b
I hope this answered it
Graph a rectangle with an area of 12 square units. State the lengths of each of the sides. Write your answer LxW (length of one side X length of the other side) please help
A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.
What are the side lengths of this rectangle?A rectangle must be such that one side is longer than the other side.
The area of a rectangle is found as:
= Length x Width
As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.
The factors of 12 which allow this to happen are:
= 1, 2, 3, 4, 6, 12
From here you can use 3 and 4.
Find out more on the area of a rectangle at https://brainly.com/question/2607596.
What is the variable in the following expression: 7x + 8
A. 7
B. X
C. 8
Answer:
B. X
Step-by-step explanation:
The variable is the unknown term.
This is represented by a letter.
In this case, the variable is "x".
So the answer is B.
What is the area of the patio if the yard is 12 feet on each side?
How do I do this?
144 feet squared
Step-by-step explanation:Squares are 4 sided shapes that have an equal length on each side.
Area Formula
The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].
Solving For Area
Plug the length value into the formula.
[tex]12^2=144[/tex]Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red 10?
A. 1/2
B. 1/26
C. 1/13
D. 1/4
Answer:
1/13
Step-by-step explanation:
Knowing that:
In a deck of card half of the deck of card are red: 1/2
Also means 52/2 = 26
There are 2 red 10 in a deck of card.
Solve:
Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.
Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.
GCD (or HCF) of 2 and 26 is 2.
Therefore, divide both by 2.
2/2 = 1
26/2 = 13
Hence, we can see that the simplify form is 1/13.
As a result, the probability of getting a red 10 is 1/13.
~lenvy~
What is the area of this quadrilateral
Answer:
C
Step-by-step explanation:
First, let's work out the two triangles:
Area of triangle: bxh/2
2 x 8/2 = 8
Because there is two triangles multiply 8 by 2 = 16
To work out the area of the central rectangle:
Area of rectangle: l x w
3 x 8 = 24
Add 16+24 = 40 square feet
please help me answer my question?
Answer:
Answer will be: $123.25
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3 x = –3 and x = 5 x = –1 and x = 7
The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.
What is the solution to the equation?To solve any equation is to find the solution of the given equation which satisfied the equation.
The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]
let u = (x +2)
then the equation becomes
[tex]\rm u^{2} - 2u - 15 = 0[/tex]
by factorizing, we get
(u + 3)(u - 5) = 0
u + 3 = 0, u = -3
u - 5 = 0, u = 5
Since, u = x + 2
So, x + 2 = 5, x = 3
x + 2 = -3, x = -5
Therefore, the solutions to the equation are 3 and -5.
Learn more about the solution of the equation ;
https://brainly.com/question/545403
Triangle A′B′C′ is the image of triangle ABC after a dilation.
What is the scale factor of the dilation?
Answer:
3
Step-by-step explanation:
could the length of the first triangle to the length of the second triangle
30 feet is equivalent to how many inches?
Answer:
360 inches
Step-by-step explanation:
Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.
30 × (12 inches) = 360 inches
Can anyone solve this correctly?
Answer:
115.5
Step-by-step explanation:
area of the square: (20-7) x 7 = 13x7 = 91
area of triangle: 7x7 / 2 = 49/2 = 24.5
total area = 91+24.5
= 115.5 in
I'm not sure, but I'm guessing it's this.
Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display. Can a human distinguish pixels on a same-sized HDTV with 2×10^6 pixels? Explain
Answer:
The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.
Step-by-step explanation:
Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored
The percentage of cupcakes sold that day were mocha flavoured will be 57%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.The percentage will be calculated as:-
P = 171 / 300
P = 0.57
P = 0.57 x 100
P = 57%
Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
if 6 people share 990 grams of cookie but each leave behind 27 grams how much grams did each person eat
Answer: 276 grams.
Step-by-step explanation:
om
9) A dog bowl has a
diameter of 17 inches. Find
the radius, area, and
circumference of the dog
bowl.
D in
Radius:
Area:
Cirum foron
Answer:
Radius: 8.5 inches
Area ≈ 226.98
Circumference ≈ 53.42
Step-by-step explanation:
2πr = formula for circumference of a circle
πr² = formula for area of a circle
radius of a circle = (1/2)d
Consider a dust mite that measures 10−3 millimeters in length and a gecko that measures 10 centimeters long. How many orders of magnitude as long as the mite is the gecko?
The gecko is about 10⁵ times bigger than the mite in length.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 cm = 10 ml
The dust mite measures 10⁻³ ml. The gecko measures 10 cm
Length of gecko = 10 cm = 10 cm * 10 ml per cm = 100 ml
Magnitude of gecko to mite = 100 ml / 10⁻³ ml = 10⁵
The gecko is about 10⁵ times bigger than the mite in length.
Find out more on equation at: https://brainly.com/question/2972832
Answer:
it is 5
Step-by-step explanation:
A
B
C
D
isosceles triangle
base?
height?
Volume?
Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2
Step-by-step explanation:
for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so (7*14)/2=49cm2
NOCTI MATH REVIEW
all
1) if the cost of one case of fresh pineapples is $14.95 for a case of 6, and the
calculated waste factor is 15 percent, what is the actual cost of each pineapple?
Using proportions, it is found that the actual cost of each pineapple is of $2.12
What is a proportion?A proportion is a fraction of a total amount.
In this problem, considering that the waste factor is of 15%, the total price should be of:
P = 0.85 x $14.95 = $12.7075.
For a case of 6 pineapples, hence the price of each is given by:
Pp = $12.7075/6 = $2.12.
More can be learned about proportions at https://brainly.com/question/24372153
The actual cost of each pineapple with a waste factor of 15% is $12.71
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:
Actual cost = 14.95 - 15% of 14.95 = $12.71
The actual cost of each pineapple with a waste factor of 15% is $12.71
Find out more on equation at: https://brainly.com/question/2972832
Entre los números -4 y 0 cuál es menor
Answer:
el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D
Answer these questions
Answer:
62
8.8
2.7
Step-by-step explanation:
that should be right. try that out
Answer:
62,8.8,2.8
Step-by-step explanation: