Answer:
20 - 17
Step-by-step explanation:
Decreased means subtract
20 - 17
The correct translation of the expression "20 decreased by 17" is "20 - 17."
Given is a verbal expression we need to convert it into algebraic form,
To reach this conclusion, we need to understand the phrase "decreased by" means subtraction.
When we say "20 decreased by 17," it implies that we are subtracting 17 from 20. In mathematical terms, this can be represented as 20 - 17.
Let's analyze the other options:
17 - 20: This option represents 17 subtracted by 20, which is the opposite of the original expression and doesn't match the given phrase.
20 + 17: This option represents the addition of 20 and 17, which doesn't align with the original expression. We are looking for subtraction, not addition.
17 + 20: This option also represents addition, and as mentioned before, the original expression involves subtraction, not addition.
Therefore, the correct answer is 20 - 17.
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Draw diagonals from one vertex to all of the non-adjacent vertices. Which polygon is constructed from four triangles?
Answer:
B
Step-by-step explanation:
Answer:
It is B Because of the non-adjacent vertices.
7. Piper Rothermel's credit card has a $926.42 balance. She makes a $223.50 payment. What is the new balance?
A $1,149.92
B $702.92
C$685.90
D$782.43
I NEED THIS ANSWER RN PLS
Answer:
The answer is 702.92 or answer B
Step-by-step explanation:
Use subtraction.
928.42 - 223.50 = 702.92
Hello ! ^^
• What's the new balance ?
→ b. $702.92
bc : 926.42 - 223.50 = 702.92
✘ i hope i helped you ! ✘
Find the exact values of sin 2x and cos 2x for cos x=3/7 on the interval 0
*view photo for choices*
A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probability that the committee consists of all boys? StartFraction 4 Over 1001 EndFraction StartFraction 15 Over 1001 EndFraction
Answer:
10/143
Step-by-step explanation:
got 100%
When students are chosen at random, the probability that the committee consists of all boys is 10/143.
What is probability?Probability simply means the likelihood that a particular thing will occur. It's due to chance or luck.
In this case, when students are chosen at random, the probability that the committee consists of all boys is 10/143.
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Which is the best first step and explanation for solving this system of equations? 3x+4y=12 3x=2y-8
Answer:
Since it is a simultaneous equation,
Using elimination method, Multiply equation 1 by the co efficient of x in equation 2 and multiply equation 2 by the co efficient of x in equation 1.
Step-by-step explanation:
For further explanation , Please contact me through the comment section.
:)
Find the value of d, the length of the diagonal across the square. If necessary,
round your answer to 2 decimal places.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
d² = 4² + 4²
= 16 + 16
d² = 32
d = √32
d = 5.67 units
Point Q is the centroid of △ABC. QE = _____
The median of [tex]\triangle ABC[/tex] are lines CD, AE and BF. These lines meet at point Q, makes Q the centroid. The length of QE is 9 units.
The centroid of a triangle divides the median of a triangle using the following ratio;
[tex]m:n = 2:1[/tex]
This means that:
[tex]BQ:QF=2:1[/tex]
[tex]AQ:QE=2:1[/tex]
[tex]DQ:QC=2:1[/tex]
To calculate QE, we make use of:
[tex]AQ:QE=2:1[/tex]
From the triangle;
[tex]AQ = 18[/tex]
So, we have:
[tex]18:QE=2:1[/tex]
Express as a fraction
[tex]\frac{18}{QE}=\frac{2}{1}[/tex]
Cross multiply
[tex]2 \times QE = 18 \times 1[/tex]
[tex]2 \times QE = 18[/tex]
Divide both sides by 2
[tex]QE = 9[/tex]
Hence, the length of QE is 9 units.
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Ms. Sculley needs to arrange 28 chairs into equal rows. She needs more than 2 chairs in each row and more than 2 rows. How many rows will she have?
Answer: 7 rows
Step-by-step explanation:
she will have 7 rows with 4 seats in each row or 4 rows with 7 seats in each row
Place the indicated product in the proper location on the grid. (b2 + 8 )(b2 - 8)
Step-by-step explanation:
(b2 + 8 )(b2 - 8)(b2 + 8 )(b2 - 8)=b4 - 8b2 + 8b2 - 64(b2 + 8 )(b2 - 8)=b4 - 8b2 + 8b2 - 64=b4 - 64Which graph shows the solution to the inequality -3x-7 <20?
Answer:
x > -9
Step-by-step explanation:
The solution to the inequality is obtained as follows:
-3x -7 < 20
-3x - 7 + 7 < 20 + 7
-3x < 27
-3x/(-3) > 27/(-3)
x > -9
Notice that when you divide by a negative number, the inequality sign changes.
In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.
A game advertises, EVERYONE IS A WINNER! It costs $2 to play. You get to choose a card from a standard deck of 52 playing cards. If you choose a red card, you win $3. If you choose a black card, you get $1. What is the expected value of playing this game?
$0
$1
$2
$3
Answer:
$2
Step-by-step explanation:
$2 because it's in between.
The total playing value will be $0.
What is probability?
Probability shows the possibility of any event to occur. The maximum value of probability can be 1 and shows the event will happen, and minimum can be 0, shows that event will not occur.
Given that,
Cost of playing the game= $2
There are total 52 playing cards,
Red cards=26
So, the probability to come red on card = 1/2.
Black cards=26
So, the probability to come black on card=1/2
If investor invests $2,
For red card, win $3,
The profit is $1
For black card, win $1,
The loss is $1
Total invest = $4
Total earning=$4
playing value = $4-$4=0.
So the total playing value will be $0.
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Kai was making pizza for lunch. They used 1/4 of a package of pepperoni and 1/6
of a package of sausage. How much more pepperoni than sausage did Kai use on
their pizza?
Answer:
1/12 more pepperoni than sausage
Step-by-step explanation:
to make 1/6 and 1/4 have the same denominator you multiply top and bottom by 6 and 4.
1/6*4 = 4/24
1/4*6 = 6/24
6/24 - 4/24= 2/24= 1/12
Mrs. Williams wrote the following on the board during a math class.
Rule: Add 5
4,9, 14, ...
Which value belongs in this pattern?
A
27
B 45
С
D 142
need help please
Answer:
142
Step-by-step explanation:
Keep adding 5
What is an equation of circle O shown in the graph below?
(1) x2 + 10x + y2 + 4y = -13
(2) x2 - 10x + y - 4y = -13
(3) x + 10x + y + 4y = - 25
(4) r2 - 10x + y- 4y = - 25
Answer:
Equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
None of the options is correct
Step-by-step explanation:
Given: Graph
To find: equation of circle
Solution:
A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).
From the graph,
centre (a, b) = [tex]\left ( 6,2 \right )[/tex]
radius (r) = 4 units
Equation of circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex]
[tex](x-6)^2+(y-2)^2=4^2\\x^2+36-12x+y^2+4-4y=16\\x^2+y^2-12x-4y+24=0[/tex]
The equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
None of the options is correct
We have given the graph
We have to determine the equation of circle
A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).
From the graph,
centre (a, b) = (6,2)
radius (r) = 4 units
What is the equation of a circle?Equation of circle is of form
[tex](x-a)^2+(y-b)^2=r^2[/tex]
[tex](x-6)^2+(y-2)^2=4^2\\x^2-12x+36+y^2-4y+4=16\\x^2+y^2-12x-4y+24=0[/tex]
Therefore the equation of the circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
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Answer the question. 20 points
-4/13 + 5/26
Answer:
erm
Step-by-step explanation:
-3/26
Answer:
Step-by-step explanation:
(-4/13)+(5/26)
So,now take the common denominator by taking least common multiple (LCM)..
LCM=26
= {(-4/13)x26} + {(5/26)x26}
= (-8+5)/26
= -3/26
If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?
A) 16, 1/16
B)16, -16
C)8, -8
D)8, 1/8
The right answer is 16,1/16
Please see the attached picture for full solution
Hope it helps..
Good luck on your assignment
For the base value of 4, if the exponent is 2; the value will be 16.
For the base value of 4, if the exponent is -2; then value will be 1/16.
Base and ExponentA base number and an exponent are typically used to denote a power.
What is base value?The total number of digits required to express numbers in a number system is known as the base in mathematics. What number is being multiplied is revealed by the base number.
What is exponent?The exponent, a little number printed above and to the right of the base number, provides the multiplicative power of the base number.
Calculation for the exponent of 2:The base number is given as 4.
The exponent is given as 2.
So, the number becomes,
=> [tex]4^{2} =4[/tex]×[tex]4[/tex]
= 16
Thus, the base 4 with exponent 2 becomes 16.
Calculation for the exponent of -2:The base number is given as 4.
The exponent is given as -2.
So, the number becomes,
=> [tex]4^{-2} =\frac{1}{4^{2} }[/tex]
= [tex]\frac{1}{16}[/tex]
Thus, the base 4 with exponent -2 becomes 1/16.
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What is the area of this figure?
Answer: 84
Step-by-step explanation: break down the parts and you multiply the sides and the answer to the square is 30 and the other half is 54 so 30 +54 =84
Find the area of the circle given the following information. Give the exact answer and an approximation to the nearest tenth.
________________________________
Hey!!!!
Solution,Diameter=12 in
Radius=12/2 =6 inch
Now,
Area of circle=pi r ^2
=3.14*(6)^2
=3.14*36
=113.04 inches^2
So the area of circle is 113.04 inches^2.Hope it helps......
Good luck on your assignment
________________________________
10. You are given the equation 2(1/2t+3)=1to solve as part
of a homework assignment.
PART A
Describe the first step needed to solve
the equation.
PART B
Solve the equation for t.
The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle A is 162 cm2.
What is the area of triangle B?
Answer:
40.5 cm²
Step-by-step explanation:
Given the ratio of sides of 2 figures = a : b
then the ratio of areas = a² : b²
Here the ratio of Δ A : Δ B = 2 : 1, thus
ratio of areas = 2² : 1² = 4 : 1
That is the area of Δ A is 4 times area of Δ B, so
area of Δ B = 162 ÷ 4 = 40.5 cm²
Answer:
81
Step-by-step explanation:
162/2=81
Michael’s pencil box is shaped like a rectangular prism. It is 30.5 centimeters long, 20.3 centimeters wide, and 10 centimeters tall. He estimates that the surface area of the box is about 2,200 square centimeters. Is his estimate reasonable? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
the approximate surface area is (30 × 20 × 2) + (30 × 10 × 2) + (20 × 10 × 2) or 2,200 cm2
What is 8478 to the nearest inch?
Answer: I’m guessing it would be 8478 because that doesn’t make sense
Step-by-step explanation:
Answer:
It is 8478
Step-by-step explanation:
A rectangular piece of cardboard that is 7 inches by 20 inches has squares of length x inches on a side cut from each corner.
(Assume that 0 < x < 3.) Represent the remaining area in the form of a polynomial function A(x).
Answer:
The remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where 0 < x < 3.
Step-by-step explanation:
Breadth of rectangular piece of cardboard = 7 inches
Length of rectangular piece of cardboard = 20 inches
Area of cardboard = [tex]Length \times Breadth[/tex]
Area of cardboard = [tex]20 \times 7[/tex]
Area of cardboard =[tex]140 in^2[/tex]
Squares of length x inches on a side cut from each corner.
Length of square = x
Area of 1 square = [tex]Side^2 = x^2[/tex]
Area of 4 squares = [tex]4x^2[/tex]
Area of remaining portion [tex]A(x)= 140-4x^2[/tex]
So, the remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where 0 < x < 3.
1
0
1
Which equation matches the number line?
S
2+ (4)
1
1
3
1
1
Answer:
The ans from the bottom left
The answer Is not A
Answer:
B. 6, 8, 10 2/3, 14 2/9, 18 26/27
Step-by-step explanation:
The recursive relation tells you the first term is 6, eliminating choice A immediately.
It also tells you each term is 4/3 the previous term, so the sequence cannot be a sequence of integers*, eliminating choices C and D.
If you do the math, you find the terms of Choice B are correct:
6×4/3 = 88×4/3 = 10 2/3(10 2/3)×4/3 = 14 2/9..._____
* Unless you start with a very large power of 3, repeatedly multiplying by 4/3 will eventually end with powers of 3 in the denominator and some multiple of powers of 2 in the numerator. Such a ratio cannot be an integer.
Elmo has two different part-time jobs, and he works 20 hours per week at each job. He earns $ 8 per hour at one job. Which expression represents how much Elmo earned last week if he earns d dollars per hour at his other job ?
Answer:
$160+20d
Step-by-step explanation:
$8*20=$160
$160+20d
Bernardo heard that as a general rule, he should spend no more than one
week's pay on rent. If Bernardo's pay is $34,800 per year, what is the
maximum amount per month that he should spend on rent?
A. $2030
B. $2900
C. $1044
D. $669
Answer:
D. $669
Step-by-step explanation:
$34,800 yearly salary
34,800/52= $669 weekly salary
The expression x^2 + x + b is a perfect square trinomial. What is the value of b?
Answer:
1/4
Step-by-step explanation:
x^2+x+b= x^2+2*x+1/2+(1/2)^2= (x+1/2)^2
b= 1/4
There are 130 people in a sport centre.
73 people use the gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Thank you in advance. :)
Answer:
0
Step-by-step explanation:
the probability that this person doesn't use any facility = 0/130
= 0
hope it helps!
Which equation is equivalent to the following?
2x^2 – 12x + 2y^2 + 20y – 28 = 0
1) 2(x-3)^2+2(y+5)^2=44
2) 2(x-3)^2+2(y+5)^2=60
3) 2(x-3)^2+2(y+5)^2=62
4) 2(x-3)^2+2(y+5)^2=96
Answer:
4) 2(x - 3)^2 + 2(y + 5)^2 = 96.
Step-by-step explanation:
2x^2 – 12x + 2y^2 + 20y – 28 = 0
2(x^2 – 6) + 2(y^2 + 10y) = 28
2 ( (x - 3)^2 - 9)) + 2((y + 5)^2 - 25) = 28
2(x - 3)^2 - 18 + 2(y + 5)^2 - 50 = 28
2(x - 3)^2 + 2(y + 5)^2 = 28 + 18 + 50
2(x - 3)^2 + 2(y + 5)^2 = 96
Answer:
[tex]4) 2(x-3)^2+2(y+5)^2=96[/tex]
Step-by-step explanation:
[tex]2x^2 -12x +2y^2 + 20y - 28 = 0[/tex]
It basically represents a circle.
Equation of circle
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2\:[/tex]
[tex]2x^2-12x+2y^2+20y=28[/tex]
[tex]$\frac{1}{2} (2x^2-12x+2y^2+20y)=28 \cdot \frac{1}{2} $[/tex]
[tex]x^2-6x+y^2+10y=14[/tex]
Organize the variables
[tex]\left(x^2-6x\right)+\left(y^2+10y\right)=14[/tex]
Now we have to complete the square for both groups:
[tex]\left(x^2-6x+9\right)+\left(y^2+10y+25\right)=14+9+25[/tex]
[tex]\left(x-3\right)^2+\left(y+5\right)^2=14+9+25[/tex]
[tex]\left(x-3\right)^2+\left(y+5\right)^2=48[/tex]
Now, I would proceed with:
[tex]\sqrt{48} =\sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 3} =4\sqrt{3}[/tex]
[tex]\left(x-3\right)^2+\left(y+5\right)^2=(4\sqrt{3} )^2[/tex]
We got the center and the circle radius
[tex]\left(3,\:-5\right)\\r=4\sqrt{3}[/tex]
But this is not what you want:
So, just multiply both sides by 2 and you'll get:
[tex]2\left(x-3\right)^2+2\left(y+5\right)^2=96[/tex]