Answer:
y = 2.52x
y = cost, x = pounds of cranberries.
each pound costs 2.52
Step-by-step explanation:
5.04/2 = 2.52
In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.
Real answer please
Factor the expression using the GCF.
42 – 12 =
The factors of the expression 42 - 12 are 2(21 - 6), 3(14 - 4), 6(7 - 2).
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, We have to factor 42 - 12.
Now, Factors of 12 are 1, 2, 3, 4, 6 and 12.
Factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Common factors of 12 and 42 are 2, 3 and 6.
So, 42 - 12.
= 2(21 - 6).
= 3(14 - 4).
= 6(7 - 2).
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The factored form of the expression 42 - 12 using the GCF is 6(7 - 2).
To factor the expression 42 - 12 using the greatest common factor (GCF), we need to find the largest number that divides both 42 and 12.
First, let's find the prime factorization of both numbers:
42 = 2 x 3 x 7
12 = 2 x 2 x 3
Now, let's find the common factors:
The common factors are 2 and 3.
Next, let's determine the GCF by multiplying the common factors:
GCF = 2 x 3 = 6
Finally, we can factor out the GCF from the expression:
42 - 12 = 6 x (7 - 2)
Therefore, the factored form of the expression 42 - 12 using the GCF is 6(7 - 2).
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-2( 4 - 3n) answer pleseeewwwwew
Answer:
The answer is 6n - 8. if right, your welcome.
Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5.
Answer:
Step 1 is the first error
Step-by-step explanation:
Given
[tex]\frac{2}{9} + \frac{1}{5}[/tex]
Required
Which step contains the first error?
From the attachment, the first step is the first error.
This is so because the fractions can not be written as a fraction with a denominator of 14
Solving further:
[tex]\frac{2}{9} + \frac{1}{5}[/tex]
Find Common Denominator 45
[tex]\frac{2*5}{9*5} + \frac{1*9}{5*9}[/tex]
[tex]\frac{10}{45} + \frac{9}{45}[/tex]
Add:
[tex]\frac{10 + 9}{45}[/tex]
[tex]\frac{19}{45}[/tex]
A rectangle has a width of 3 units and a length of 4 units. Nancy needs to increase both the length and the width of the rectangle by 2 units.
Image_8672
Which statement describes how the area of the rectangle will change?
Step-by-step explanation:
The length of a rectangle, l = 3 units
The breadth of a rectangle, b = 4 units
Nancy needs to increase both the length and the width of the rectangle by 2 units.
The area of a rectangle is given by
A = length(l) × breadth(b)
Here,
A = 3 × 4
= 12 unit²
If both length and width of the rectangle increase by 2 units,
New length = (4+2) = 6 units
New width = (3+2) = 5 units
New area = 6 × 5 = 30 unit²
Hence, new area becomes 30 unit².
okay last one haha i promise
Answer:
B) x = -2 or x = 3/5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0FactoringSolving RootsStep-by-step explanation:
Step 1: Define
5x² + 7x = 6
Step 2: Solve for x
Rewrite [SF]: 5x² + 7x - 6 = 0Factor: (x + 2)(5x - 3) = 0Find roots: x = -2, 3/5Montel has a circular garden with a diameter of 12 feet. He purchases
border stones for the circumference of his garden. Each border stone is 1 foot long. How many border stones should Montel buy?
In the figure below, if the radius of circle o
is 10, what is the length of diagonal AC of
rectangle OABC?
Answer:
The length of AC is 10 units
Step-by-step explanation:
In the given circle O
∵ AOCB is a rectangle
∵ OB and AC are the diagonals of the rectangle AOCB
∵ Diagonals of the rectangle are equal in lengths
→ That means OB and AC are equal in lengths
∴ OB = AC
∵ O is the center of the circle
∵ B is a point on the circle
∴ OB is a radius of the circle O
∵ The radius of the circle is 10 units
∴ OB = 10 units
∵ OB = AC
∴ AC = 10 units
∴ The length of AC is 10 units
is 12 : 8 and 18 : 12 equivalent ratios?
Answer:
Yes.
Step-by-step explanation:
Because 12:8=12/8=3/2.
And 18:12=18/12=3/2.
You can drive 300 miles in 5 hours. At this rate, how long will it take you to drive 150 miles?
Answer:
2.5 hours
Step-by-step explanation:
The ratio - 300: 5 is the same as 60:1
150:x should equal 60:1
You divide 150 by 60 to get your answer
Answer:
2.5 hours
Step-by-step explanation:
Just divide 5 by 2 to get the same ratio! Hope this helps
If the total value of the coins is 30¢, what is the missing coin?
Answer:
$70
Step-by-step explanation:
Which theorem shows QMP=RNP?
A. ASA
B. AAS
C. SAS
D.none of the above
Answer: i believe it’s A
Step-by-step explanation:
By ASA criteria, ΔQMP is congruent to ΔRNP.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a figure as shown in the image.
In ΔQMP and ΔRNP -
∠QPM = ∠NPR {Vertically opposite angles}
QM = NR {Given}
∠MQP = ∠NRP {Alternate interior angles}
So, by ASA criteria, ΔQMP is congruent to ΔRNP.
Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.
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help solve for me please
Answer:
A''=(8,0)
B''=(12,-5)
C''=(16,-4)
D''=(17,3)
Step-by-step explanation:
Translations
The following points are given:
A=(2,3)
B=(6,-2)
C=(10,-1)
D=(11,6)
Two transformations will be applied:
T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y
T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y
Start with point A. First translation:
A'=(2+12,3-8)=(14,-5). Second translation:
A''(14-6,-5+5)=(8,0)
Now for point B. First translation:
B'=(6+12,-2-8)=(18,-10). Second translation:
B''(18-6,-10+5)=(12,-5)
Now for point C. First translation:
C'=(10+12,-1-8)=(22,-9). Second translation:
C''(22-6,-9+5)=(16,-4)
Finally for point D. First translation:
D'=(11+12,6-8)=(23,-2). Second translation:
D''(23-6,-2+5)=(17,3)
You deposit $2200 in the account that pays 3% annual interest compounded continuously after 20 years you withdraw the money what formula do you use
Answer: 6600
Step-by-step explanation:
To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?
Hint #22 / 5
Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}
100
5.5
start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.
\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd
Hint #33 / 5
To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.
\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54
Hint #44 / 5
\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}
0.055x
0.055
0.055x
x
=$1.54
=
0.055
$1.54
=6600
please help can't figure it out...
Match the term to its definition.
1. every two weeks.
2. a time period in which income is earned.
3. a payment based on a time period.
4. twice a month.
5. a payment based on actual working time or actual production.
biweekly
pay period
wage
salary
semimonthly
Answer:
1. biweekly
2. pay period
3. salary
4. semimonthly
5. wage
Answer:
biweekly- every two weeks
pay period- a time period in which income us earned
wage- a payment based on actual working time or actual production
salary- a payment based on time period
semimonthly- twice a month
Step-by-step explanation:
what’s the slope?
the line has the given equation y+7=3/5(x-4)
Answer:
Slope 3/5
Step-by-step explanation:
y=3/5x-47/5
halp meer............
Answer:
D
Step-by-step explanation:
Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.
for the function g (x) shown graphed below, over which of the following intervals is g (x) > 0
Answer:
g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)
g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)
Step-by-step explanation:
The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.
Given :
The graph of the function g(x) is given.
The following steps can be used in order to determine the interval for g(x):
Step 1 - The value of g(x) means the value of y.
Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.
Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.
Therefore, the correct option is 3).
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sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?
Answer:
$918.75
Step-by-step explanation:
2.5 ÷ 100 = 0.025 × 1050 = 26.25
26.25 × 5 = 131.25
1050 - 131.25 = 918.75
Simplify the expression.
4(-8x + 5) – (-33x – 26) = ______
Answer:
14+33x
Step-by-step explanation:
you have to break it up
4x(-3)+33x+26 MILTIPLY
-12+33x+26 CALCULATE
Solution is 14+33x
I HOPE THIS HELPS YOU
Write the number 0.464646464646 as a fraction let x=
Answer:
what is x?
Step-by-step explanation:
Factor 140c+28-14a to identify the equivalent expressions.
Answer:
Answer is A,C, and D
Step-by-step explanation:
AI Drew a line that was 3/4 of an inch long. He decided to shorten it and erased 1/4 of an inch of the line. How long was the line that remained express the answer in the lowest terms.
Answer:
1/2
Step-by-step explanation:
3/4 minus 1/4 is equal to 2/4
2/4 is 1/2
Can someone help me explain please?
Answer:
B. 16 = 4y
y = 4
Answer:
B. 16 = 4y
Step-by-step explanation:
Long block = 16Amount of blocks that make the long block (16): 4Label of the small blocks: yTotal of small blocks: y × 4y × 4 = 4yBecause the long block and the y blocks are equal, 16 = 4yI hope this helps!
the temperature of the coffee depends on the number of minutes it sits on the desk
Answer:
um D I really hope this helps
Step-by-step explanation:
: a p e x
Write an equation of the line in slope-intercept form. (-2, 4) (0 -1)
Answer:
y=-5/2x+1
Step-by-step explanation:
-1-4 ( -5 )
0- (-2 ) = 0+2 ( 2 )
-5/2
y=-5/2x+b
4=-5/2( -2 ) +b
4= 5+b
Subtract 4 from 5 ( 1 )
b=1
y=-5/2x+1
Hope this helped, Have a Great Day!!
The equation of the line passing from the given points is y = -5x/2-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line is passing through two points (-2, 4) and (0 -1)
We know that, the equation of a line passing through two points is given by,
y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)
Therefore,
y-4 = (-1-4)/(0+2)(x+2)
y-4 = -5/2(x+2)
y = -5x/2-5+4
y = -5x/2-1
Hence, The equation of the line passing from the given points is y = -5x/2-1
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write a similarity statement for the triangles picture. what is the value of x? show your work please !
Answer:x= 16.5
Step-by-step explanation:as both the triangles are similar, then
AB/ PQ=AC/ PR
16/24=18/(2x-6)
x= 16.5
Brianna hoped to get 100 pumpkins from her garden this year. Since the weather was really great, 20% more pumpkins grew than expected. Unfortunately, animals ate 30% of all the pumpkins that grew.
How many pumpkins were left?
9514 1404 393
Answer:
84
Step-by-step explanation:
Assuming that "hoped for" and "expected" are the same number, The number Brianna has remaining is ...
100(1 +20%)(1 -30%) = 100(1.2)(0.7) = 100(0.84) = 84
84 pumpkins were left.
Which algebraic representation of a transformation on a coordinate grid does not preserve congruence A (x,y)-(x+6,y+6 .B(x,y)-(-x,y)C(x,y)-(6x,6y)D(x,y)-(-y,x)
Answer:
It’s A
Step-by-step explanation:
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.
There's a picture of a circle with the radius of 21 cm
Picture of the circle:
Answer:
65.94cm
Step-by-step explanation:
The two equivalent equations to find the circumference of a circle are:
Circumference = 2 * pi * radius
Circumference = pi * diameter
Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:
Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm