Answer:
34, 35, 36
Step-by-step explanation:
1st number = x
2nd number = x+1
3rd number = x+2
So the equation would be:
x+2(x+1)+(x+2)-7=133
x+2x+2+x+2-7=133
4x-3=133
4x=136
x=34
Three consecutive numbers justifying the condition given in the statement will be 34, 35, 36.
Algebraic expression from a verbal statement: Define the variables to form an algebraic expression from a verbal statement first. Then form the expression or equation as per given verbal statement.Let three consecutive number are,
n, (n + 1), (n + 2)
First statement given,
" The sum of first number, twice the second number"
Expression for the statement → [n + 2(n + 1)]
Second statement → " 7 less than the third number"
Expression for the statement → (n + 2) - 7
Combine the expressions,
"The sum of first number, twice the second number and 7 less than the third number is 133"
Form the equation and simplify,
n + 2(n + 1) + (n + 2) - 7 = 133
n + 2n + 2 + n + 2 - 7 = 133
(n + 2n + n) + (2 + 2 - 7) = 133
4n - 3 = 144
4n = 136
n = 34
Therefore, the numbers are,
1st number → n = 34
2nd number → (n + 1) = 35
3rd number → (n + 2) = 36
Learn more about the solution of equations here,
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find the height of a tree whose shadow is 42m long when the shadow of a man 1.8m tall is 2.4m long
Answer:
The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:
3 : 4 = x : 42
3 * 42 = 4x
x = 3 * 42 / 4 = 31.5
HELP ME PLEASE AND THANKS :) <3
Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
Which of these is an exponential parent function?
O A. f(x) = 2x +
nim
O B. f(x) = 2*
O c. f(x) = 2X + 2
O D. f(x) = 2x - 3
Answer:
The answer is option B.
[tex]f(x) = {2}^{x} [/tex]
Hope this helps you
6TH GRADE MATH PLEASEHELP HELP ME ANSWER I WOULD APPRECIATE IT PLEASE
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▹ Answer
b. [tex]\frac{5}{8}[/tex]
▹ Step-by-Step Explanation
[tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} \\\\= divide each side by 2\\\\\frac{10}{16} = \frac{5}{8}[/tex]
- Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
10/16 but I’m pretty sure your teacher is gonna want for you to reduce to where you answer would actually be 5/8
Step-by-step explanation:
1/16 +9/16 you’ll add the top number which equals up to 10, but since both of your bottom number are the same you lol keep those making your answer 10/16. But most teacher prefer you to reduce so it’ll bring your answer to 5/8 since the only number that can go into both 10 and 16 is 2 which is what you did. In conclusion 5/8 is your answer.
A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it?
Answer:
Step-by-step explanation:
Probability is expressed as
Number of favorable outcomes/total number of possible outcomes
From the information given,
Total number of outcomes = 16
Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15
This means that the number of favorable outcomes is 5
Therefore, the probability that the card has a multiple of 3 on it is
5/16 = 0.3125
Round to the nearest tenth
10x^2+5x-15=-12+8x^2
Answer:
x = - 3, x = 0.5
Step-by-step explanation:
Given
10x² + 5x - 15 = - 12 + 8x² ( subtract 8x² from both sides )
2x² + 5x - 15 = - 12 ( add 12 to both sides )
2x² + 5x - 3 = 0 ← in standard form
(x + 3)(2x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5
please help me this is all due tomorrow!!!!!
Answer:
5
Step-by-step explanation:
Using Pythagoras' identity
The horizontal distance between A and B is 3 units
The vertical distance between A and B is 4 units
Thus
AB = [tex]\sqrt{3^3+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Complete the table of values below:
x -3 -2 -1 0 1 2 3 How the graph relates to y=2x
y=2x Answer
Answer
Answer
Answer
Answer
Answer
Answer
Not applicable
y=-2x Answer
Answer
Answer
Answer
Answer
Answer
Answer
multiplied by Answer
y=(3)(2x)
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a [tex]y = 2^x[/tex]
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. [tex]y = -2^x[/tex]
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. [tex]y = (3)(2^x)[/tex]
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b.
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c.
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
What is the volume of the pyramid? A rectangular pyramid with a base of 8 centimeters by 6 centimeters and a height of 5 centimeters. 10 centimeters cubed 80 meters cubed 120 centimeters cubed 240 centimeters cubed
Answer:
Step-by-step explanation:
8•6= 48•5=240 divided by 3= 80
The volume of the rectangular pyramid is 80 cubic centimeter.
What is volume?
Volume is the measure of the capacity that an object holds.
Formula for the volume of a rectangular pyramid[tex]v = \frac{lwh}{3}[/tex]
Where,
V is the volume of the rectangular pyramid
l is the base length
w is the base width
h is the Pyramid height
According to the given question
We have
Base length of the rectangular pyramid = 8cm
Base width of the rectangular pyramid = 6cm
And the height of the rectangular pyramid = 5cm
Therefore,
The volume of the rectangular pyramid is given by
V = [tex]\frac{(8)(6)(5)}{3}[/tex]
⇒ V = 8 × 2 × 5
⇒ V = 30 cubic centimeter
Hence, the volume of the rectangular pyramid is 80 cubic centimeter.
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Three students attempt to define what a line segment is.
Answer:
the line segment is a part of an infinite line.
Answer:
Ebuka is correct. Ivy is thinking about a line, not a line segment. And ethan is the one saying that a line segment is about more than a length.
An intelligent trader travels from 1 place to another carrying 3 sacks having
30 coconuts each. No sack can hold more than 30 coconuts. On the way
he passes through 30 checkpoints and on each checkpoint he has to give 1
coconut for each sack he is carrying. How many coconuts are left in the
end? *
Answer:
none
Step-by-step explanation:
the man is carrying 3 sacks
each has 30 coconuts
so at total he has 90 coconuts: 30*3= 90
he passe through 30 checkpoints
ha has to give 1 coconut for each sack
so he gives 3 coconuts each time: 3*1=3
there are 30 ckeckpoints so : 3*30= 90
he has spent all the coconuts unless he has a trick
He starts with 3 sacks with 30 in each sack.
He has to give 1 coconut per sack away. So at first he gives 3 coconuts away.
The first 10 checkpoints he gives away 30 coconuts, so he is left with 2 sacks.
Now he has to give 2 coconuts away. 30/2 = 15, so the next 15 checkpoints he ends up giving away another full sack, so he is left with 1 full sack of 30 coconuts and he has 5 checkpoints left.
Giving away 1 coconut at those checkpoints, he would have 25 left
The pic is here , just the question wouldn’t show up right. Any help ?
Answer:
its 4√2i i think
Step-by-step explanation:
Answer:
Answer:B
Step-by-step explanation:
When you take a picture with a 35mm camera, the image passes through the camera lens and is rotated and dilated onto the screen for viewing.
Answer:
That was a good fun fact.
A bike store marks up the wholesale cost of all bikes they sell by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
Answer:
96.15
Step-by-step explanation:
The mark the bikes up 30 %
wholesale + wholesale * 30 percent = selling price
wholesale ( 1+ 30%) = selling price
wholesale (1.30) = 125
Divide by 1.30
wholesale = 125/1.30
wholesale =96.15384615
Rounding to the nearest cent
96.15
Answer:
the wholesale cost of this bike is $96.15
Step-by-step explanation:
2. If the bike is discounted by 20%, how much will Calvin pay (before tax)?
$100
which point is between the other two points? find coordinates of D and F
Point D is between points C and F as the diagram shows. Without using a visual aid, you can tell based on how CD and DF are ordered. Note how the "D"s in CD and DF are adjacent when you place them together
CD DF ---> CF
That is one way to think about it. Although, for me, a visual guide is better.
---------------
Point C is at location 20 on the number line. We move 3 spots over to get to point D, so D is at 20+3 = 23 on the number line. Then we move another 5 units to the right to get to point F which is at 23+5 = 28
C = 20
D = 23
F = 28
if a savings account is opened with an initial deposit of $250, and interest is compounded monthly at 6.25% for 50 years, how much will the account be worth at the end of the 50-year period?
Answer:
$-9125
Step-by-step explanation:
6.25÷100 = 0.0625 50×12=600
0.0625×250= $15.625
6.25%=$15.625
15.625×600= $9375
$250-$9375= -9125
The account be worth at the end of the 50-year period will be 9125 dollar.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that savings account is opened with an initial deposit of $250, and interest is compounded monthly at 6.25% for 50 years.
The rate is 6.25÷100 = 0.0625
Therefore, 50×12=600
0.0625×250= $15.625
Since we know that 6.25%=$15.625
15.625×600= $9375
Thus we get;
$250-$9375 = -9125
Hence, the account be worth at the end of the 50-year period will be 9125 dollar.
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What is the length of line segment ABin the triangle shown below?
B=8 inches
A=17 inches
Step-by-step explanation:
For this triangle,we can use Pythagoras' theoremThe state is that : a²+b²=c²In this figure,notice that a shorter side needs to be found,so after writing the Pythagoras formula in the usual way,the formula has to be rearranged to make x² the subject a²+b²=c² 8²+x²=17² 64+x²=289 x² = 289- 64 x² = 225 x = √225 =15inchesCan u plz help me with this question
Answer:
300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.
when t = 5, it equals $275
when t = 10, it equals $250
when t = 15, it equals $225
when t = 20, it equals $200
Step-by-step explanation:
the mass of the earth is 1/95 of the mass of the planet Saturn. the mass of the earth is 5.97×10^24 kilograms. calculate the mass of the planet Saturn, giving your answer in standard form, correct to 2 significant figures
Answer:
5.8 * 10^26 kg
Step-by-step explanation:
If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth
From the question we were given the mass of the earth as 5.97 * 10^24
The mass of saturn is thus 95 * 5.97 * 10^24 =
576.15 * 10^24
This is 5.8 * 10^26 kg
the original price P of a shirt less $5 discount
Answer:
P - 5
Step-by-step explanation:
hello
original price is P
$5 discount means that the final price is P - 5
hope this helps
Answer:
p-5
Step-by-step explanation:
a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the son in years
I would start by setting up a chart like I did below.
Label one column age now and the other age in 5 years.
Since we don't know the son's age we use x.
We do know that the man's age is 4 times the son's age.
So the man's age will be 4x.
In the age in 5 year column, we add 5 to their current ages.
Now set up our equation.
Since it says "in five years" we use information in second column.
In 5 years time, he, "4x + 5", will be, equals,
3 times as old as his son, "3(x + 5)".
So we have 4x + 5 = 3(x + 5).
Solving from here, we find that x = 10.
So the son is 10 and the man is 4 times his age or 40.
I WILL MARK BRAINLIEST IF YOU ARE RIGHT please help me ive been stuck on this ever since monday haha im not sure how to do it thanks!
I'll remember some concepts:
[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]
Question:
[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]
The negative solution cant exist since we are talking about logarithms.
Simplify the expression. −9(4 − 3j)
Answer:
-36 + 27j
Step-by-step explanation:
−9(4 − 3j)
Distribute
-9 * 4 -9 * (-3j)
-36 + 27j
Answer:
27j - 36.
Step-by-step explanation:
−9(4 − 3j)
= -9 * 4 - 9 * (-3j)
= -36 + 27j
= 27j - 36
Hope this helps!
Factorize 3x to second power minus 6x
Answer:
3x( 3x -2)
Step-by-step explanation:
(3x) ^2 - 6x
9x^2 -6x
The greatest common factor is 3x
3x( 3x -2)
Solve for r: C = 2 pi r. (1
Answer:
C/2pi = r
Step-by-step explanation:
C = 2 pi r
divide with 2 pi on both sides to solve for r
C/2pi = r
A vertical translation is used to move triangle DEH onto triangle D’E’H’.
Use the drop-down menus to describe the vertical translation used.
Answer this:
•vertical translation: Triangle DEH is translated —— units ——.
Answer:
5 units in the positive y-axis
Step-by-step explanation:
In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.
Step one: Pick a corner of the triangle.
For this, we can pick corner D and note its position on the graph
Step two: Count the number of squares between point D and D'.
Once we count this, we can see that there are 5 square spaces between D and D'.
Step Three: Repeat the process for the other two corners of the rectangle.
If the square spaces counted are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units
Simplify the expression -4.6+( -1.4) .on the test , when maureen simplified the expression she got 3.2 .
Answer:
Step-by-step explanation:
-4.6+( -1.4)=
-4.6-1.4=-6 maureen is wrong, because both have the minus , so she should add with the minus symbol.
Provide Two Column proof
Given: ABCD is a quadrilateral, Segment AB is congruent to Segment CD, <1 is congruent to <2
Prove: ABCD is a parallelogram
Answer and Step-by-step explanation:
When angle 1 is contrary to angle 2 the adjacent sides are parallel or identical instead. The diagonal from 1 is completely consistent with the other 2nd angle by different outward.
ASA produces two strong or contrugent triangles on the diagonal if both angle 1 and 2 are opposing one another.
Therefore ABCD is a parallelogram
If a point is inside ZAVB, then m AVC + ___- MZAVB.
Answer:
BV
Step-by-step explanation:
i think is the missing gap
If the denominator of 5/7 is increased by a number and the numerator is doubled, the result is 1. Find the number.
Answer:
3
Step-by-step explanation:
let n be the number, then
[tex]\frac{10}{7+n}[/tex] = 1 ← multiply both sides by 7 + n
10 = 7 + n ( subtract 7 from both sides )
3 = n