Answer:
You have two brackets..divide them as
x-3=0 and x-2=0
so x=3, x=2
The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.
To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.
Setting ( x – 3 ) = 0:
x – 3 = 0
x = 3
Setting ( x − 2 ) = 0:
x − 2 = 0
x = 2
Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.
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Linda purchased 1½ pounds of potatoes on Friday and 2⅓ pounds of potatoes on Saturday. What was the total weight, in pounds, of potatoes purchased by Linda in the two-day period?
How do you factor the polynomial 3x^2 + 8x^2 - x - 10 = 0?
Answer:
x = 1 and x = -10/11
Step-by-step explanation:
3x² + 8x² - x - 10 = 0
11x² - x - 10 = 0
(11x + 10)(x - 1) = 0
11x + 10 = 0
11x = -10
x = -10/11
x - 1 = 0
x = 1
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 2 or King?
Answer:
0.1538
Step-by-step explanation:
There are 8 cards that are either 2s or Ks.
P(2 or K) = 8/52
P(2 or K) = 0.1538
Solve equation by using the quadratic formula.
[x^{2} + 4x = -4
a. x = -2
b. x = -4
c. x = -4, x = 4
d. x = 0, x = 4
which is the best deal: a 14 ounce drink for $4.50 or a 12 ounce drink for $3.75?
Answer: 12 ounces for $3.75 is the better value
Step-by-step explanation:
The 12-ounce drink for $3.75 is the best deal as it has a lower cost per ounce compared to the 14-ounce drink for $4.50.
To find the best deal, we need to compare the cost per ounce for each drink.
For the 14-ounce drink:
Cost per ounce = $4.50 / 14 = $0.3214 (rounded to four decimal places)
For the 12-ounce drink:
Cost per ounce = $3.75 / 12 = $0.3125 (rounded to four decimal places)
Comparing the cost per ounce, the 12-ounce drink has a lower cost per ounce, making it the better deal.
So, the 12-ounce drink for $3.75 is the best deal.
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Kaylen mixed two liquids for a science experiment. One container held 7/8 cup and the other held 9/10 cup. What is the total amount of the mixture?
Can someone help me?
Answer:
with what
Step-by-step explanation:
dont see nothinfg
Answer:BD equals CE? Are lines parallel
Step-by-step explanation:
Jan created a garden that was 8.5 yards long and 5.95 yards wide. What is the difference between the length and width of the garden? please dont take my points, actually answer the question.
Subtract the width from the length.
8.5 - 5.95 = 2.55 yards
The dimensions of a rectangular building used to store tools for electrical lineman has a length of 12x + 24 feet and a width of 20x - 10 feet.
Write the expression that represents the area of the building, in terms of x.
Write the expression that represents the perimeter of the building, in terms of x.
If the perimeter is going to be 220 feet, what are the dimensions of the building
Answer:
a) Area = 2x^2 + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
The computation is shown below:
Given that
length = 12x + 24 feet
And, the width be 20x - 10 feet
Now as we know that
Area of the rectangle = length × width
= (12x + 24) × (20x - 10)
= 12x (20x -10) + 24(20x - 10)
= 240x^2 - 120x + 480x - 240
= 240x^2 + 360x - 240
= 2x^2 + 3x - 2
Now for perimeter
As we know that
Perimeter of the rectangle = 2(Length + width)
= 2(12x + 24 + 20x - 10)
= 2(32x + 14)
= 64x + 28
In the case when the perimeter is 220
So,
220 = 64x + 28
64x = 220 - 28
64x = 192
x = 3
Now length is 12(3) + 24
= 36 + 24
= 60 feet
And, the width is
= 20(3) - 10
= 60 - 10
= 50 feet
HHHHHHEEEEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPP MMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEE WILL GIVE BRAINLESSS
Answer: B. The x-Coordinate is Positive and the Y- Coordinate is Negative
Step-by-step explanation: Get a Coordinate Plane Picture with the Coordinates labeled for reference.
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12
can someone please help me?
Answer:
6
Step-by-step explanation:
How many 3/8 are in 5/4
Answer:20
Step-by-step explanation:
Simplify the term
(2w^-2)^3(8w^6)
Answer:
64
Step-by-step explanation:
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
Using the equation shown, which is the best estimate of x?
x2 = 315
a)between 17 and 18
b)between 53 and 54
c)between 78 and 79
d)between 157 and 158
Answer:
a)
Step-by-step explanation:
[tex]\sqrt{315}[/tex] is approximately 17.8
17² = 289
18² = 324
315 is between 289 and 324
The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a widespread number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given square roots,√315
The value of √91 is 17.74823935
The whole number less than 17.74823935 is 17 and greater than 17.74823935 is 18.
Thus, 17 < 17.74823935< 18
Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".
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Find the point that lies on the line described by the equation below. y - 11 = 14(x - 2)
PLEASE HELP ME ASAP!!!
Answer:
1.1r,-1r
2.-2x,5x
Step-by-step explanation:
i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps
Tina multiplies 46 times 23 2/3. Which statement is true about the product? Drag steps and expressions into place to explain and show how to evaluate a • b for a = 5 and b = 8.
Answer:
See solutions below
Step-by-step explanation:
The product of 46 and 23 2/3 is expressed as;
= 46×23 2/3
= 46 × 71/3
= (46×71)/3
= 3266/3
= 1088.67
Given a•b
If a = 5
b = 8
a•b =5•8
a•b = 40
Look at the model below.
375
238
What equation is represented by this model, and what is the
value of c?
OA) C-238 = 375, C = 613
OB) 375 +238 = C, C = 613
Oc) 238 + C = 375, C = 137
OD 238 - C = 375, C = 137
Answer:
C
Step-by-step explanation:
c) 238 +C=375
or, C=375-238
or, C=137 answer
Answer:
The answer is C
Step-by-step explanation:
I got it right
Read the Instructions please I will mark
Answer:
The answer is 42
Step-by-step explanation:
6²= 36
3(3)=9
36+9×2/3 = 42
Because he likes chicken and candy 5x7=35 ,,,,
Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two angles?
Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
[tex]5x + 6 + 3x + 4 = 90[/tex]
[tex]8x + 10 = 90[/tex]
[tex]8x = 90 - 10[/tex]
[tex]8x = 80[/tex]
[tex]x = \frac{80}{8}[/tex]
[tex]x = 10[/tex]
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
The measures of the two angles are 56 and 34 degrees
The sum of complementary angles is 90degrees
Given the measurement:
GHI is (5x+6)∘ and;∠JKL measures (3x+4)Taking the sum and equating to 90 degrees
5x + 6 + 3x + 4 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 10
∠GHI = 5(10) + 6
∠GHI = 56 degrees
∠JKL = 90 - 56
∠JKL = 34degrees
Hence the measures of the two angles are 56 and 34 degrees
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What is the value of the digit 4 in 1,601,403
Answer:
The value of 4 is 400
Step-by-step explanation:
Answer:
hundred
Step-by-step explanation:
Plz helpppp I will give the brainliest help me plz
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]
y=36
Kris and Nathan put a down payment of 20% on the purchase of their house, and then financed
$150,000. What was the purchase price of the house
Answer: $187,500
Step-by-step explanation:
Let x = Purchasing price of house.
Given: Down payment = 20% of x
= 0.20x [20% = 0.20]
The amount financed = Purchasing price - Down payment
= x-0.20x
=(1-0.20)x
= 0.80x
As per given,
[tex]0.80x=150000\\\\\Rightarrow x=\dfrac{150000}{0.8}\\\\\Rightarrow\ x=\dfrac{1500000}{8}\\\\\Rightarrow\ x=187500[/tex]
Hence, the purchase price of the house =$187,500
1) Can a line have a slope of 1.25? Exp
ill give brainliest
Triangle Sum Theorem CLASSWORK
Answer:
[tex]8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}[/tex]
4 is the right answer.[tex](7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}[/tex]
8 is the right answer.Answer & Step-by-step explanation:
5). x = 4
6). x = 8
You can write in the comments if you want an explanation.
Hope this help ;)
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH.
Round your answer to the nearest tenth.
G
K
13
D
F
7
E
H
J
29.4
I
Answer:
[tex]KH = 55[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find KH
From the attachment:
[tex]GD = 13[/tex] [tex]DE = 7[/tex]
[tex]HI = 29.4[/tex]
To find KH, we make use of the following equivalent ratio:
[tex]GD : DE = KH : HI[/tex]
Substitute values for GD, DE and HI
[tex]13 : 7 = KH : 29.4[/tex]
Convert to fractions
[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]
Make KH the subject
[tex]KH = \frac{13}{7} * 29.4[/tex]
[tex]KH = \frac{13* 29.4}{7}[/tex]
[tex]KH = \frac{382.2}{7}[/tex]
[tex]KH = 54.6[/tex]
[tex]KH = 55[/tex] --- approximated
Select all the expressions that have a value of 180 when b = 4. o 876 – 179 + 957 - 87 O 336 12 62 + 120 0 516 - 24 ( 115 + 187 – 2,756 - 13
Answer: miata
Step-by-step explanation:
Need help me please is math.