Answer:
6 years ago
Step-by-step explanation:
[tex]6(14-x)=54-x\\84-6x=54-x\\30-6x=-x\\30=5x\\6=x[/tex]
So, Pete's grandfather was 6 times as old as Pete 6 years ago. This means that when Pete was 8 years old, his grandfather was 48 years old.
Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.
Answer:
39, 40, 41
Step-by-step explanation:
Let x represent the middle integer. The sum of the three integers will be ...
(x -1) +x +(x +1) = 3x
This is 40 more than 2 times the middle integer, so we have ...
3x = 40 +2x
x = 40 . . . . . . . subtract 2x
The three integers are 39, 40, 41.
_____
Additional comment
It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.
A pattern has 4 blue triangles to every 310 yellow triangles. What is the ratio of yellow triangles to all triangles?
Answer:
blue to all triangles ratio: 1 : 78.5
Step-by-step
so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314
you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5
please help meeee, will mark brainliest!!!
Answer:
see below
Step-by-step explanation:
If it decreases at 10.5 % per year then 89.5 % remains
Value = y = 35 300 ( .895)^x
value when x = 5.5 y = $ 19177.92
A cylinder has a height of 18 feet and a radius of 19 feet. What is its volume? Use ≈ 3.14
and round your answer to the nearest hundredth.
Answer:
20403.72Step-by-step explanation:
Height = h = 18 m
Radius = r = 19 m
Volume of cylinder:
[tex]=\pi r^2h[/tex]
[tex]=(3.14)(19)^2(18)[/tex]
[tex]=(3.14)(361)(18)[/tex]
[tex]=20403.72[/tex] [tex]m^3[/tex]
_____________________Solve four and two fifths plus two and two thirds. (4 points)
six and one fifteenth
six and three fifteenths
seven and thirteen fifteenths
seven and one fifteenth
Answer:
7 1/15 ( mixed number )
Step-by-step explanation:
First, add...
4 + 2 = 6
Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15
Then do...
2/5 x 3/3 = 6/15
And...
2/3 x 5/5 = 10/15
Then add...
6/15 + 10/15 = 16/15
But this number is an improper fraction so the mixed number for it is...
1 1/15 + 6 = 7 1/15
So this gives us the final answer of 7 1/15 ( mixed number )
Pls, mark me the brainliest!!!!!!
please help with question
Answer:
65.8
Step-by-step explanation:
The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.
__
The relation is ...
a/sin(A) = b/sin(B)
Solving for 'a' gives ...
a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)
a ≈ 65.8
The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?
Answer:
A. Horizontal Stretch and vertical shift down 4
Step-by-step explanation:
When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.
2 is greater than 1 so its a horizontal stretch.
When there is a number outside of the () then that number determines how high or how low you go depending on the sign.
Our number is -4 so we go down 4.
a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing
Answer:
3.5 inches by 4 inches
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINEST!!
Answer:
-3,-2
Step-by-step explanation:
Answer:
-3,-2
Step-by-step explanation:
if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).
PLEASE ANSWER NUMBER 32!!!
Answer:
N < -3
Step-by-step explanation:
first off, simply, then subtract the 9s from both sides.
5n < -6 -9
Simplify -6 -9 to -15 , Which gives you
5n < -15
then, divide both sides by 5.
n < 15/5
Simplify 15/5 to 3, Which give you
N < -3
here is your answer.
N < -3
Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25. which equation and solution
represents p, the number of pounds of strawberries ms. diaz buys?
Answer:
21.25=4.25p
Step-by-step explanation:
Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her
strawberries. one pound of strawberries costs $4.25.
1/5
The equation to represent the situation is 4.25p=21.25.
Ms. Diaz buys 5 pounds of strawberries.
What is equation?A mathematical statement that is made up of two expressions connected by an equal sign.
Given:
Mr. Diaz pays for strawberries = $21.25
price for one pounds = $4.25
Then,
Number of pounds * cost = Total cost for strawberries.
p * 4.25 = 21.25
p = 21.25 / 4.25
p = 5
Hence, the equation that can represent 4.25p=21.25
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h(t)=−(t−7)²+4
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answer:
1. smaller value of t = 5
larger value of t = 9
2. (7, 4)
Step-by-step explanation:
Given function: [tex]h(t)=-(t-7)^2+4[/tex]
To find the zeros, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Therefore, the vertex of the given function is (7, 4)
I will mark brainlist to whoever answers first
Answer:
its D
Step-by-step explanation:
i did the math ez
Answer:
C) ∠V , ∠U , ∠W
Step-by-step explanation:
The smallest angle is opposite to the smallest side.
Sides in ascending order: WU < VW < UV
Angles in ascending order: ∠V < ∠U < ∠WPLEASE HELPPP i have no clue what to do
Answer:
hope this will help you thank you
it can be also written as 1/5x-5
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
400
800
1,200
The number of unique random numbers that need to be selected from the table of random digits will be A. 3.
What is a random number?It should be noted that a random number simply means a number that occurs when it is impossible to predict it.
From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.
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88+36 is the same as ? + 34
Answer:
The answer would be 90.
Step-by-step explanation:
There are two ways to solve this problem.
Option 1: See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)
Hey there!
88 + 36 VS ? + 34
88 + 36 VS x + 34
88 + 36 = x + 34
124 = x + 34
NEW EQUATION:
124 = x + 34
x + 34 = 124
SUBTRACT 34 to BOTH SIDES
x + 34 - 34 = 124 - 34
SIMPLIFY IT!
x = 124 - 34
x = 90
Therefore, the mystery number/answer is: 90
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Volume of composite objectThe sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
For the outer sphere:
V = 4/3π(20)³
For the inner sphere:
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
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Answer:
D
Step-by-step explanation:
What is the area of ΔABC to the nearest tenth of a square millimeter?
Answer:
35 + 35 = 70
Step-by-step explanation:
Add the area of ABC
can someone help me
Answer:
S=49
Step-by-step explanation:
Any triangle has an interior angle of 180.
So just add them up and set the sum equal to 180 degrees.
2s+s+33=180
3s=180-33
3s=147 . Divide both sides by 3 to isolate variable s
s=49
21 ice cream cones are sold at $4.02 each.
What is the total cost of these items?
Answer:
$84.42
Step-by-step explanation:
$4.02 x 21= $84.42
I hope this helps!!!
Answer:
YOU DO 4.02x21=84.42
Step-by-step explanation:
Triangle ABC is shown below. Using a compass and straightedge, construct the dilation of ABC centered at B with a scale factor of 2.
Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.
What is scale factor?A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.
In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.
In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.
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Find the smallest number. 8.9, 9.21, 9.73, 8.2
Answer:
8.2
Step-by-step explanation:
the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.
Need the answer for the following question...
[tex] \sqrt{155} \times \sqrt{155} [/tex]
If u get it right... u get... pts!!...
Answer:
155
Step-by-step explanation:
Solution
[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.
E.g. [tex]\sqrt{x} ^2[/tex] would get us x as the answer.Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].
Another way:
Let's take the number 16 as an example.The square root of 16 is four, so we can put it as: [tex]\sqrt{16} * \sqrt{16} =16[/tex], or [tex]4*4=16[/tex].This same method applies to the problem, so again, we can say the answer is 155.Answer:
155.
Step-by-step explanation:
By the definition of a square root the answer is 155.
A Sparkle Soda has a radius of 2.8 cm and a height of 11.5 cm. Find the volume of the can of soda to the nearest hundredths.
Answer:
283.86 cm³
Step-by-step explanation:
A can of soda has the shape of a cylinder.
Formula for finding volume of a cylinder :
Volume = πr²h
===============================================================
Solving :
⇒ Volume = 22/7 × (2.8)² x 11.5
⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5
⇒ Volume = 22 × 0.4 × 32.2
⇒ Volume = 8.8 × 32.2
⇒ Volume = 283.86 cm³
can someone please help me solve these questions i need them for school
ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.
What are Perpendicular lines?A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.
Lines EG and FG are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD
Lines JK ≅ HL because they are both created by parallel lines JL and HI.
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The students in Mr. Tate's art class painted landscapes showing the different seasons of the year. There were 7 paintings of winter, 5 paintings of spring, 8 paintings of summer, and 5 paintings of autumn.
What percent of the paintings were of summer?
Step-by-step explanation:
7+5+8+5=25 All the paintings
paintings of summer:8
8 of 25
25×4=100
8×4=32
paintings of summer:32%
Which set of numbers cannot represent the lengths of the sides of a triangle?
A.
7, 5, 6
B.
9, 12, 19
C.
6, 8, 11
D.
7, 18, 11
find two integers who’s sum is 20 and products is 100
Answer: 10
Step-by-step explanation:The answer is 10
Step-by-step explanation:
10+10=20
10 * 10= 100
Hope it helps you.
A cellular company offers a price of $16 for 200 minutes. Find the unit rate in cost per minute (Round to 2 decimal places) I WILL MARK AS BRAINLIEST
Unit rate
Price/Time8/1000.08$/minAnswer:
$0.08 per minute
Step-by-step explanation:
Unit rate :
Total Price / Total Minutes$16 / 200 minutes$0.08 per minutex+x2 +2=44 solve the equation quick
Answer:
x=10.5 or x=6=x=−7
Step-by-step explanation:
x+x^2+2=44
x+x(x)+2=44
2x(x)+2=44 1. -2 on both sides
2x^2=42
2x(2x)=42
4x=42 2. /4 on both sides
x=10.5
Answer:
x = -7, 6.
Step-by-step explanation:
x+x2 +2=44
x^2 + x - 42 = 0
(x - 6)(x + 7) = 0
x =-7, 6