Answer: i got u
Step-by-step explanation:
2*8x+2=3*2x-7
16x+2=6x-7
-6x -6x
10x+2=-7
-2 -2
10x=-9
x=-9/10
LaTanya buys 5 yards of blue fabric and 8 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $62. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric? LaTanya buys 5 yards of blue fabric and 8 yards of green fabric. The blue fabric costs $2 more per yard than the green fabric. She pays a total of $62. What would be the combined cost of 1 yard of blue fabric and 1 yard of green fabric?
The price of green fabric = $4 and the price of blue fabric is $6.
How to illustrate the information?It should be noted that LaTanya buys 5 yards of blue fabric and 8 yards of green fabric and the blue fabric costs $2 more per yard than the green fabric.
Let the price of the green fabric = x
Price of blue fabric = x + 2
Therefore, the expression will be:
5(x + 2) + 8(x) = 62
5x + 10 + 8x = 62
13x = 62 - 10
13x = 52
Divide
x = 52/13
x = 4
The price of green fabric = $4
The price of blue fabric = $4 + $2 = $6
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Identify the type of conic given. x^2 - 6x + 7y - 33 = 0
What are the steps to turn it into standard form?
The standard form for the Parabola is given as
[tex]y=-\frac{1}{7} x^2+\frac{6}{7} x+\frac{33}{7}[/tex]
This is further explained below.
What are the steps to turn it into standard form?Generally, the equation for is mathematically given as
x^2-6 x+7 y-33=0
Solve for y.
Move all terms not containing y to the right side of the equation.
7 y=-x^2+6 x+33
Divide each term into 7 y=-x^2+6 x+33 by 7 and simplify.
[tex]y=-\frac{x^2}{7}+\frac{6 x}{7}+\frac{33}{7}[/tex]
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
y=a x^2+b x+c
Reorder terms.
[tex]y=-\left(\frac{1}{7} x^2\right)+\frac{6}{7} x+\frac{33}{7}[/tex]
[tex]y=-\frac{1}{7} x^2+\frac{6}{7} x+\frac{33}{7}[/tex]
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the circle's arc can be measured in any unit of measure for what?
Answer:
angles in radians
Step-by-step explanation:
look
solve each equation (absolute value)
a) |3-|2-x||=6
b) |3x-2|+x>= 4
c) ||2x-1|-2|>3
The absolute values solved for x are:
x = 1 x = 1/2 x> 0What is absolute value?Absolute value of a number can be defined as the distance of the number from zero on the number lines.
It is also said to be the value of a number irrespective of its sign.
The absolute value of a number must take a positive sign.
It is denoted with the symbol, '| |'
Given the equations;
a. ) |3-|2-x||=6
Take the absolute value
3 + 2 + x = 6
collect like terms
x = 6 - 5
x = 1
b) |3x-2|+x>= 4
Take absolute values
3x + 2 + x = 4
collect like terms
4x = 2
make 'x' the subject
x = 1/ 2
c) ||2x-1|-2|>3
Take absolute values
2x + 1 + 2 > 3
collect like terms
2x > 3 - 3
x > 0
Thus, the absolute values solved for x are x = 1, x = 1/2 and x> 0
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Find the area between the curve
Answer:
The first option (a) is the most approximate
Step-by-step explanation:
The area results:
a = 161.91315 = 162
[tex]e^{5} =148.4[/tex]
then
[tex]14+e^{5} =14+148.4=162.4[/tex]
Hope this helps
Marley worked 16 hours more than Herold last month. If Marley worked 7 hours for every 2 hours that Herold worked, how many hours did they each work?
Total number of hours both worked last month is; 28.8 hours
How to solve Algebra Word Problems?Let the number of hours that Herold worked last month be x. Thus, number of hours that Marley worked = 16 + x
Now, we are told that Marley worked 7 hours for every 2 hours that Herold worked. Thus;
(16 + x)/x = 7/2
Cross multiply to get;
2(16 + x) = 7x
32 + 2x = 7x
7x - 2x = 32
x = 32/5
x = 6.4 hours
Thus, total hours Marley worked = 16 + 6.4 = 22.4 hours
Total number of hours both worked last month = 22.4 + 6.4 = 28.8 hours
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and for d i put d, pls let me know xx
or
Colleen made a scale drawing of a house. She used the scale 3 millimeters = 1 meter. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
The scale factor that the drawing use is 3/1000.
How to calculate the scale?From the information, Colleen made a scale drawing of a house and she used the scale 3 millimeters = 1 meter.
It should be noted that 1000 millimeters = 1 meter
Therefore, the scale factor that the drawing use is:
= 3 millimeters / 1 meter
= 3/1000
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Given ^MTW=^BGK, find the valued of x and y
Answer:
m×w plus x times x and the then 41 times Square 2 minus k
Step-by-step explanation:
x and y compkety le diff so w n m 41 than times b and g equivalent to 24 so asneer 24 negative
When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F.
Answer:
-3°F
Step-by-step explanation:
WOW
do 3-6 ok which is -3°F
The ratio of the length of a soccer field to the width of the field is 3:2. A scale drawing of a soccer field has a scale of 1 in.: 20 yds. The length of the field in the drawing is 6 inches. What is the actual width of the field?
Explain your reasoning.
The actual width of the field 80 yard. when proportion is 3 : 2.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
We have the proportion
3/2 = 120/w
where in the numerator are the length and in the denominators the width of the field.
Now , 3 . w = 120 . 2
3w = 240
w = 80
Therefore , the actual width of the field 80 yard.
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What is the value of x?
X
II
m< BAE
11
m
m
E
4
B
2x 76°
U
D
39.82kg + 6.056kg + 4978kg
Answer:
5023.876 kilograms
Step-by-step explanation:
(39.82 kg) + (6.05600 kg) + (4978 kg) =
5023.876 kilograms
I hope this helped :)
Which expression is equivalent to (3x−4y5)−2?
−9x8y10
x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity
negative quantity 9 times x raised to the eighth power end quantity over y raised to the tenth power
1 over quantity 9 times x raised to the eighth power times y raised to the tenth power end quantity
The equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A
What are index forms?The index form of a number can be defined as the number written as an exponential expression.
It is expressed as a single number raised to another number.
Index forms are also called standard forms or scientific notations.
Index notation is also a way of representing variables or constants multiplied by themselves a number of times.
What are equivalent expressions?Equivalent expressions are expression having same solution but different arrangement of variables.
Given the expression;
(3x^−4y5)^−2
Multiply the exponents
x^8/ 9y10^
Thus, the equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A
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Which of the following is a point -slope equation of a line that passes through the points (5, 2) and (- 1, - 6) ? A. y - 2 = 4/3 * (x - 5) B. y - 2 = 3/4 * (x - 5); y - 2 = - 4/3 * (x - 5) D D . . y - 2 = - 3/4 * (x - 5)
The point slope form are as follows:
y - 2 = 4 / 3(x - 5)y + 6 = 4 / 3(x + 1)How to represent equation in point slope form?The point slope equation can be represented as follows;
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, (5, 2)(-1, -6)
m = slope = -6 - 2 / -1 - 5
m = slope = -8 / - 6
m = slope = 4 / 3
Therefore, using (5, 2) the point slope form is represented as follows;
y - 2 = 4 / 3(x - 5)
using (-1, -6) the point slope form is represented as follows;
y + 6 = 4 / 3(x + 1)
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If f(x) = x^2/2-13, what is the value of f(6) ?
The answer is f(6)=5
Step-by-step explanation:
(6*2/2)-5=5
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The two representations are:
x > 5
A number line with an open circle at 5 and a line that points to the right.
Which are correct representations of the inequality?
We start with the inequality:
-3(2x - 5) < 5*(2 - x)
First, we need to solve this for x, expanding both sides we get:
-6x + 15 < 10 - 5x
Now we move the terms with x to the right side and the terms without to the left side.
15 - 10 < 6x - 5x
5 < x
This is a representation of the inequality.
The other will be a graph, to graph this on a number line we need to do an open circle at x = 5, and shade the region to the right (because x is larger than 5).
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A zookeeper records the number of male and female penguins born in a particular year. 45% of the penguins are male, and 55% are female. 20% of the time, male penguins are born with red eyes, and 30% of the time, females are born with red eyes. The zookeeper created this diagram to represent the number of male and female penguins. How many blue squares should be shaded to represent the male penguins with red eyes?
9 squares should be shaded to represent the male penguins with red eyes.
What is percentage?Percentage is a fraction or a ratio in which the value of whole is always 100.
Given:
45% of the penguins are male, and 55% are female.
20% of the time, male penguins are born with red eyes,
and 30% of the time, females are born with red eyes.
To find the squares should be shaded to represent the male penguins with red eyes we have to perform the following step
20% of 45
=0.2* 45
=9
Hence, 9 squares should be shaded to represent the male penguins with red eyes.
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Answer:
9 blue squares should be shaded
Step-by-step explanation:
20% of 45 = 9
32 divided by 11 =some sort o' mixed number
Answer:
2.9 over 1
Step-by-step explanation:
The table shows the linear relationship between the playing time in minutes of high-definition videos and the file size of these videos in megabytes (MB) What is the rate of change of this function?
180
60
120
30
the rate of change of the linear equation in the table is 120.
How to get the rate of change of the linear equation?
Remember that for any linear equation with an slope (also called rate of change) s and it passes through the points (a, b) and (c, d), then the slope can be written as:
s = (d - b)/(c - a)
Using that relation and the first two points on the table (0.5, 60) and (1.5, 180)
We get that the rate of change is:
s = (180 - 60)/(1.5 - 0.5) = 120
So the rate of change is 120.
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Rewrite using distributed property:
6a+21
Answer:
3(2a+7)
You find the common multiple and then distribute.
A student ran a distance of 3 miles each day for 5 days. Then the student ran a distance of 4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
A 23 mi
B 38 mi
C 42 mi
D 35 mi
Can u please help me make an essay with introduction, body, conclusion
How does mathematics play in your world?
Answer:
Mathematics is a fundamental part of human thought and logic, and integral to attempts at understanding the world and ourselves. Mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor. In addition, mathematical knowledge plays a crucial role in understanding the contents of other school subjects such as science, social studies, and even music and art.
Step-by-step explanation:
if you need more I can help with that
What is the value of x in the equation 5 x-2=182
O-50
O-40
O-8
O-6
Answer:
Answer is 36.8
Step-by-step explanation:
There's something wrong in your question... Because...
5x-2=182
5x=182+2
5x=184
5x/5=184/5
X=36.8
Is $24 Dave’s after 3 weeks ;$52 saved after 7 weeks equivalent
The statement "Is $24 Dave’s after 3 weeks;$52 saved after 7 weeks equivalent" is false
This is further explained below.
What is equivalence?Generally, Expressions are considered to be equivalent if their function is the same despite their appearance being distinct.
If two algebraic expressions are equivalent to one another, then those two expressions will provide the same result when we use the same value for the variable in each expression.
In conclusion,
Firstly, we consider what Dave saves in one week will be,
Since $24 Dave’s after 3 weeks we have
One week =24/3
one week=$8
Therefore
7 weeks =$56
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I’ll give points + brainalist
The line which is parallel to the given line y = -2x/3 + 1 is 2x+3y=-18, there slopes are equal
How to fine the line that is parallel to the given lineGiven data
line y = -2x/3 + 1
The equation of a line is represented as y = mx + c where m represents the slope. The unique feature of parallel line is that the slopes are equal.
Hence we find the line that has same value of m which is the slope
using the second option: 2x+3y=-18
2x + 3y = -18
3y = -2x - 18
y = -2x/3 - 6
the slope here is m = -2/3 which is equal to the slope of the given equation and hence the correct option
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Use the slope formula to solve for the slope
Answer:
Step-by-step explanation:
To solve the slop, you need to do the rise/run formula
y2-y1/x2-x1
3-0/2-(-2)
3-0/2+2=3/4
write a equation for the situation please
Step-by-step explanation:
let Irene's share be x and Charlie's share be y
x=2y-8
x+y=$47.50
x=$47.50-y
$47.50-y=2y-$8
$47.50+$8=2y+y
$55.50=3y
y=$55.50/3
y=$18.50
x=$47.50-$18.50
x=$29
Answer:
Irene's share = 29
Charlie's share = 18.5
Step-by-step explanation:
R bill = 47.5
Irene's share = (2 × Charlie's share )-8
Irene's share = y
Charlie's share = x
bill = x + y = 47.5
y = 2x -8
x + 2x - 8 = 47.5
3x = 47.5 + 8= 55.5
x = 18.5
y = 29
60 is the last option
Answer:
its 40° because they're linear pairs
Step-by-step explanation:
both angle 1 and 3 are 40°
Answer:
The answer is 40°
Step-by-step explanation:
Angles that are opposite of each other are always equal.
Consider the infinite geometric sequence that has a third term equal to -1/6 and a sixth term equal to -1/1296. What is the sum to infinity of the terms of this sequence?
The sum to infinity of the terms of this sequence is -36/5
What is the sum to infinity of the terms of this sequence?The given parameters are
T3 = -1/6
T6 = -1/1296
The nth term of a geometric sequence is
Tn = a * r^(n-1)
So, we have
T3 = ar^2
T6 = ar^5
Divide both equations
T6/T3 = ar^5/ar^2
Evaluate the quotient
T6/T3 = r^3
Substitute T3 = -1/6 and T6 = -1/1296 in T6/T3 = r^3
(-1/1296)/(-1/6) = r^3
Evaluate the quotient
1/216 = r^3
Take the cube root of both sides
r =1/6
Substitute r =1/6 in T3 = ar^2
T3 = a(1/6)^2
This gives
T3 = a/36
Substitute T3 = -1/6 in T3 = a/36
a/36 = -1/6
This gives
a = -6
The sum to infinity of the terms of this sequence is
S = a/(1 - r)
This gives
S = -6/(1 - 1/6)
This gives
S = -6/(5/6)
Evaluate
S = -36/5
Hence, the sum to infinity of the terms of this sequence is -36/5
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