If DE=2x-1, what is the value of x
1. 7
2. 7.5
3. 8
4. 8.5
The value of the variable 'x' will be 8.5. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.
The side AB is equal to DE. Then we have
DE = AB
2x - 1 = 16
2x = 16 + 1
2x = 17
x = 17/2
x = 8.5
The value of the variable 'x' will be 8.5. Then the correct option is D.
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Harry and Helen are married, filing jointly. Their combined taxable income is $65,922. Every week, a total of $187 is withheld from their pay. Based on the table below, what can Harry and Helen expect when their taxes are due?
Answer:
The net tax refund of Harry and Helen is $555.
Step-by-step explanation:
The net tax refund of Harry and Helen is $555.
What is Marginal Tax rate?The marginal tax rate is the tax rate imposed on the additional dollar. In general, as a taxpayer's income rises, so does his or her marginal tax rate. It is also known as progressive taxation since the taxpayer with the highest income pays the highest level of income tax.
As, To calculate their due tax liability, the total withheld amount for the year will be subtracted from the overall tax liability.
So, Due Tax Liability
= Total tax Liability - Total withheld Amount
= 9169 - (187 x 52)
= $55.
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Which one is right *Will make BRAINLEST*
Answer:
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Step-by-step explanation:
Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.
If a,b and c are three numbers then associative property for multiplication can be given as:
a.(b.c) = (a.b).c
The given expression is:
[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]
Applying the associative property for multiplication we get
[tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Hence,
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Please please PLEASE hurry! 95 points!
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400
Let y represent the total fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.
Answer:
Step-by-step explanation:
The formula is F(d) = 100+0.10d.
We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:
400=100+3000(x)
Subtract 100 from each side:
400-100 = 100+3000x-100
300 = 3000x
Divide both sides by 3000:
300/3000 = 3000x/3000
0.10 = x
This is the cost per meter. Using this, we have the formula
F(d) = 100+0.10(d)
Answer:
T(x) = 0.1x + 100Step-by-step explanation:
Total fee is $400Initial one off fee is $100Fee for each meter = xConsidering all the given and the vertical distance of 3000 m we get below equation
400 = 100 + 3000xSolving, we find the fee for each meter:
400 -100 = 3000x300 = 3000xx = 300/3000x = 0.1 dollar per meterSo the equation for total fee including climbing x meters is:
T(x) = 0.1x + 100Do you know the answer
Answer:
y=2x+2
Step-by-step explanation:
The * stands for multiplication.
0*2+2=2
3*2+2=8
6*2+2=14
All of these statements are true, so this should be the correct answer.
A pet store has two types of betta fish ref betta fish and blue betta fish a customer notices that 7 out of 12 betta fish in the store are red what is the ratio of blue betta fish to red betta fish?
Answer:
5:7
Step-by-step explanation:
A pet store has two types of betta fish which is red and blue
She noticed that 7 out of the 12 beta fishes are red
This means that there are 7 red beta fishes and 5 blue betta fishes
Therefore the ratio of blue betta fish to red betta fish is
= 5:7
Is table values represents a function of f(x) =3x -4 what statement explains why she is correct or incorrect?
What is the difference between an image under a dilation with a scale factor 0 1
Pls help me I have no idea
Answer:
130 degrees
Step-by-step explanation:
ABF and BFE are alternate angles. So BFE is 65
BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees
h^6 −64p^6 its trig its factoring the diff/sum of cubes
Answer:
for example lets say: (x+2)(x-2)(
x
4
+4
x
2
+16)
Rewrte the given terms as perfect cubes as follows and use the algebraic identity for the factorisation of difference of two cubes.
x
6
-64 =
(
x
2
)
3
-
(
4
)
3
=(
x
2
-4) (
x
4
+4
x
2
+16)
=(x+2)(x-2)(
x
4
+4
x
2
+16)
Step-by-step explanation:
do u think its correct?
Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.
Answer:
Serena earns $7.50 per hour more than Gabe
Step-by-step explanation:
Given
Serena:
[tex]m = 21h[/tex]
Gabe
Earnings: $13.50 per hour ----- Missing Part of equation
Required
How much more does Serena earn per hour
For Serena
[tex]m = 21h[/tex] implies that She earns $21 per hour
So, to determine how much more She earns, we simply calculate the difference.
[tex]Difference = \$21 - \$13.50[/tex] (per hour)
[tex]Difference = \$7.50[/tex] (per hour)
The difference implies that Serena earns $7.50 per hour more than Gabe
Please help I’m stuck on this one!
Answer: The length of JK is 10.5 m
Step-by-step explanation:
Find the circumference C= dπ
C = 12π
C= 37.7
There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.
Multiply the Circumference by 100/360 (or 5/18 × 37.7)
The arc is 10.5 m
A line has a slope of 2 and passes through the point (0,0) what is its equation in slope intercept form
Answer:
y=mx+b is slope-intercept form
where m is the slop, and b is the y intercept
if m is the slop then we can plug that into the equation
y=2x+b
next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.
y=2x+0
eliminate the 0
y=2x is your equation
Step-by-step explanation:
At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $
Answer:
$357.5
Step-by-step explanation:
Answer:
347.50
Step-by-step explanation:
you have to put the 0 at the end i didnt and got it wrong.
slope= 1/4, y intercept=2
PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg
Answer:
A.
Step-by-step explanation:
your equation has no exponents, it is linear.
Answer:
A
Step-by-step explanation:
A container of water holds 128 fluid ounces. Toya drinks 8 fluid ounces of water every hour. How many fluid ounces are in the container after 8 hours
Answer: 64 fluid ounces
Step-by-step explanation:
Amount of water in the container = 128 fluid ounces
Amount drank by Toya every hour = 8 fluid ounces
For 8 hours, Toya would have drank:
= 8 × 8 fluid ounces
= 64 fluid ounces
To calculate the amount of fluid ounces
thataree in the container after 8 hours, we then subtract 64 fluid ounces from 128 fluid ounces. This will be:
= 128 fluid ounces - 64 fluid ounces
= 64 fluid ounces
3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar
Answer:
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
Let say Mira's breakfast Price = B $
Tip she left = 20 %
20 % Tip amount = (20/100) B = 0.2B $
Tip Amount She left = $ 1.8
Equating Tip Amount
0.2B = 1.8
=> B = 9
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
A roller coaster travels at a constant rate. If the roller coaster travels a total of 2,070 meters in 30 seconds, how many meters does the roller coaster travel in 1 second?
Answer:
I am pretty sure it is 69 meters per 1 second
Step-by-step explanation:
Because you divide 2070 with 30 and you get 69.
Answer:
69
Step-by-step explanation:
To do this question, you have to do 2,070 divided by 30 so your answer would be 69
i need help with only one question on number 4? anyone pls?
What is 9.6 as a mixed number?
Answer:
9 3/5
Step-by-step explanation:
96/10 = 48/5
HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2
Answer:
corresponding angles
Alternate angle
cointerior angle
Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.
Answer:
See Explanation
Step-by-step explanation:
[tex] m\angle ADB = m\angle CDB... (given) \\\\
\therefore m\angle ADM = m\angle CDM... (1)\\
(\because D-M-B) \\\\
In\: \triangle 's ADM \: \&\: CDM\\\\
\overline{AD} \cong\overline {CD} ... (given) \\\\
m\angle ADM = m\angle CDM.(From \:1)\\\\
\overline{DM} \cong\overline{DM} ... (given) \\\\
\therefore \triangle ADM \: \cong\: \triangle CDM\\.. (By \: SAS\: postulate) \\\\
\therefore \overline{AM} \cong\overline{CM}..(2)\\(by\: c. s. c. t.) \\\\
m\angle AMD = m\angle CMD..(3)\\(by\: c. a. c. t.)\\\\
\because m\angle AMD + m\angle CMD= 180\degree ..(4)\\
(Linear\: pair\: \angle 's)\\\\
\therefore m\angle AMD + m\angle AMD= 180\degree \\..(From \: 3 \: \& \: 4)\\\\
\therefore 2m\angle AMD = 180\degree\\\\
\therefore m\angle AMD = \frac{180\degree}{2}\\\\
\therefore m\angle AMD =90\degree \\\\
\red{\implies \overline{MD} \perp\overline{AM}} \\\\
\implies m\angle AMB=m\angle CMB= m\angle CMD = 90\degree.. (5)\\\\
In\: \triangle 's ABM \: \&\: CBM\\\\
\overline{AM} \cong\overline{CM}\\.(From \: 2)\\\\
m\angle AMB=m\angle CMB\\..(each\: 90\degree) \\\\
\overline{BM} \cong\overline{BM} ... (common) \\\\
\therefore \triangle ABM \: \cong\: \triangle CBM\\.. (By \: SAS\: postulate) \\\\
\therefore m\angle BAM = m\angle BCM\\(by\: cact) \\\\
\purple {\implies m\angle BAC = m\angle BCA} \\(\because A-M-C) [/tex]
Find the equation of a line that passes through the points (6,7) and (8,3).
Leave your answer in the form
y = mx + c
Answer:
y=-2x+19
Step-by-step explanation:
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Now we have,
m= 3-7/8-6
m=-2. Since m=-2, the equation is y=-2x+b.
To find b, think about what your (x,y) points mean:
(6,7). When x of the line is 6, y of the line must be 7.
(8,3). When x of the line is 8, y of the line must be 3.
Substitute them to the equation y=-2x+b.
You can use either (x,y) point you want..the answer will be the same:
(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.
(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.
So, the equation of the line that passes through the points
(6,7) and (8,3) is y=-2x+19.
write in slope form 2y = 24
Answer:
y = 12
Step-by-step explanation:
The equation of the expression is given as;
2y = 24
We are to write in slope form';
In slope form, an equation is expressed as;
y = mx + c
where y and x are the intercept
m is the slope
c is the intercept
Now to write 2y = 24 in intercept form, we have;
2y = 24
divide both sides by 2;
y = 12
(-1,1) and (0,4) are on the line what is the linear equation in standard form
Answer:
y-3x=4
Step-by-step explanation:
1-4/-1-0=3
1 = 3(-1)+b
1=-3+b
b=4
The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,
⇒ y = 3x + 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-1, 1) and (0, 4)
Now,
Since, The equation of line passes through the points (-1, 1) and (0, 4).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 1) / (0 - (-1))
m = 3 / 1
m = 3
Thus, The equation of line with slope 3 is,
⇒ y - 1 = 3 (x - (-1))
⇒ y - 1 = 3 (x + 1)
⇒ y - 1 = 3x + 3
⇒ y = 3x + 3 + 1
⇒ y = 3x + 4
Therefore, The equation of linear equation in standard form is,
⇒ y = 3x + 4
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what is the difference between mutiplying and adding polynomials
Answer:
When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.
Step-by-step explanation:
.
Answer:
adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about
Is this equations linear?
Answer:
No
Step-by-step explanation:
There can not be x and y both attached to one coefficient.
Answer:
No
Step-by-step explanation:
Its not linear because the equation has "3xy" in it.
Maya is deciding between two different movie streaming sites to subscribe to. Plan A
costs $31 per month plus $1.50 per movie watched. Plan B costs $35 per month plus
$0.50 per movie watched. Let A represent the monthly cost of Plan A if Maya
watches x per month, and let B represent the monthly cost of Plan B if Maya watches
x movies per month. Write an equation for each situation, in terms of x, and
determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.
Answer:
36 movies.
Step-by-step explanation:
45
+
2.50
x
=
3.75
x
Here
x
=
NUMBER OF MOVIES
45
=
Annual rate
2.50
=
price of movie with annual fee
3.75
=
price of movie with no fee
Now we solve for
x
. Move
x
to one side by subtracting
2.50
x
on each side
45
=
1.25
x
We want
x
by itself, so divide
45
by each side.
45
1.25
=
x
x
=
36
The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4
Let x represent the number of movies watched per month.
Plan A costs $31 per month plus $1.50 per movie watched, hence:
A = 1.5x + 31
Plan B costs $35 per month plus $0.50 per movie watched, hence:
B = 0.5x + 35
For plan A to be cheaper than plan B:
1.5x + 31 < 0.5x + 35
x < 4
But the number of movies watched must be greater than 0, hence:
0 < x < 4
Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4
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