17) Find DE 3x - 28 3x – 30 G E F 33
The numerical length of DE is 11.
We have a Line Segment DG such that E and F is between D and G.
We have to determine the length of DE.
What is Line Segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
DE = 3x - 28
EF = 3x - 30
FG = x
DG = 33
Now -
DG = DE + EF + FG
33 = 3x - 28 + 3x - 30 + x
7x = 33 + 58
7x = 91
x = 13
Therefore -
DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11
Therefore - DE = 11
Hence, the numerical length of DE is 11.
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Colin buys a car for £6000.
It depreciates at a rate of 6% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
4684.5
Step-by-step explanation:
6000 * (1 - 6%)4 = 4684.5 (1.d.p)
PLZ HELP!!!
write an equation to match this graph.
Answer:
y = 1/5x - 5
Step-by-step explanation:
slope intercept form: y=mx+b
m is the slope
to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5
b is your y-intercept, aka where the line comes in contact with the y-axis
by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5
therefore your answer is: y = 1/5x - 5
hope this helped!
Need help please not understanding
Answer:
The value of ∠4 is 45° .
Step-by-step explanation:
Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.
⇒ ∠2 = ∠4 [ Corresponding angles ]
⇒ x + 30° = 2x + 15°
⇒ 2x - x = 30° - 15°
⇒ x = 15°
Hence the value of x is 15°
⇒ ∠4 = x + 30°
⇒ ∠4 = 15° + 30°
⇒ ∠4 = 45°
★ Hence the value of ∠4 is 45° .Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??
Answer:
1. 19/20
2. 8/45
3. 13/28
4. 4/3
5. 5/24
6. 49/30
7. 5/33
Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]
where x = numerator and y = denominator.
a) 1/5 + 3/4
We find the Lowest common denominator (5, 4) = 20
Hence: 4 + (5 x 3) / 20
= 4 + 15 / 20
= 19/20
b) 7/9 - 3/5
We find the Lowest common denominator (5, 9) = 45
Hence: (7 x 5) + (9 x 3) / 45
= 35 - 27 / 45
= 8/45
c) 6/8 - 2/7
We find the Lowest common denominator (7, 8) = 56
Hence: (6 x 7) - (2 x 8) / 56
= 42 - 16 /56
= 26/56
= 13/28
d) 5/6 + 5/10
We find the Lowest common denominator (6, 10) = 30
Hence: (5 x 5) + (5 x 3) / 30
= 25 + 15 / 30
= 40/30
= 4/3
= 1 1/3
e) 7/8 - 2/3
We find the Lowest common denominator (3, 8) = 24
Hence: (7 x 3) - (2 x 8) / 24
= 21 - 16 / 24
= 5/24
f) 8/10 + 5/6
We find the Lowest common denominator (6, 10) = 30
Hence: (8 x 3) + (5 x 5)
= 24 + 25 / 30
= 49/30
= 1 19/30
g) 9/11 - 2/3
We find the Lowest common denominator (3, 11) = 33
Hence: (9 x 3) - (11 x 2) / 33
= 27 - 22 / 33
= 5/33
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PLEASE HELP! <3
What is the slope of the line?
Answer:
0
Step-by-step explanation:
The slope formula is (change in y)/(change in x)
since the numerator (change in y) is 0, the slope will be 0
The bowling alley charges a set fee for shoe rental and charges per game bowled. The total
cost of bowling can be modeled by c(b) = 5.75b + 4.25 Which statements about the function
are true?
I.
The cost for each game of bowling is $5.75.
II.
The shoes cost $5.75 to rent.
III.
The number of games bowled is represented by b.
1.
I and II only
2.
I and III only
3.
II and III only
4.
I, II and III
Submit Answer
Answer: (2.)
1 and 111 only
Step-by-step explanation:
please help me with these three questions, i'll give brainliest
Answer:
The result would be 0 (zero)
Step-by-step explanation:
Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.
What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.
Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.
And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H
Hopefully this is what you were looking for!
Can someone help me plzzz!!
Answer:
Multiply dno. plus nume. by 2
Step-by-step explanation:
get a base of 100
(+5) - (-7)
thank you in advance
Answer:
12
Step-by-step explanation:
on a timer help me fast plssssssssssssssssssssssssssss
Answer:
22+x<=55
D
Step-by-step explanation:
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?
Answer:
12, 15, 18
Step-by-step explanation:
4+5+6 = 15
45/15 = 3
multiply 4 x 3 = 12
multiply 5x 3 = 15
multiply 6 x 3 = 18
Nick has a bag of marbles. Without looking in the bag, he
selects a marble, records its color, and puts it back in the
bag. All marbles are equally likely to be chosen. He
performs 100 trials.
Number of times a white marble was chosen
48
Number of times a red marble was chosen
13
Number of times a green marble was chosen 27
Number of times a blue marble was chosen
Based on the data Nick collected, what is the estimated probability, in
simplest form, of choosing a white marble from the bag? please help me
Answer:
Step-by-step explanation:
Ok wait. Try add
Answer:
12/25
Step-by-step explanation:
I need some help please and thank you
A house cost $320,000 in 2005. By the year 2019, its value was $560,000. What was the growth rate as a percent for that 14-year period? (Remember, i=(p^2/p^1)^1n−1
Answer:
Growth rate = 4.08%
Step-by-step explanation:
Rate of interest 'i' for the growth in the cost of the house,
i = [tex](\frac{\text{Final amount}}{\text{Initial amount}})^{\frac{1}{n}}-1[/tex]
Here 'n' = Duration or time (in years)
i = [tex](\frac{560000}{320000})^{\frac{1}{14}}-1[/tex]
i = [tex](\frac{7}{4})^{\frac{1}{14}}-1[/tex]
i = 1.0408 - 1
i = 0.0408
i = 4.08%
Therefore, growth rate for this period is 4.08%.
A store is having a 20%-off sale on its video games. What is the amount of the discount on a game that regularly costs $25?
Answer:$20
Step-by-step explanation:
$25x.20=5
$25-5=20
The sixth-grade chorus has a boy-to-girl ratio of 3:8. If the total number of chorus members was 11 last year and 33 this year, how many boys and girls were there for each of these two years?
simplify and show your work 8÷(10−9) 3 ×7+4 2
If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?
Answer:
The value of g(f(3)) = 2
Step-by-step explanation:
We are given:
[tex]f(x)=2x[/tex]
[tex]g(x) = x-4[/tex]
And we need to find g(f(3))
First we need to find g(f(x))
by putting the value of f(x) into g(x) i.e put x = 2x
[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]
Now, we need to find g(f(3)) by putting x = 3 in g(f(x))
[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]
So, the value of g(f(3)) = 2
Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.
Answer:
1/11>x
Step-by-step explanation:
4−23x>2−x
+23x to both sides
4>2+22x
-2 from both sides
2>22x
Divide by 22
1/11>x
If x and y vary directly, and x = 12 when
y = 4, what is the value of x when y = 1 ?
Please help!! the temperature at wonder lake is 12°f. during a storm, the temperature changes by -26° f. what is the temperature after the storm
Answer:
-14°F
Step-by-step explanation:
First, we start at 12°f. Then, the temperature changes by -26°f. This means that we add (-26°f) to what we currently have. We then have
12 + (-26)
= 12-26
= -14°F
Mrs . Kerr is going to pack 9 carrots, 12 crackers, and 18 grapes into lunch boxes. How many of each food item will be in a lunch box if she pack the into the greatest number of identical lunch boxes
Answer:
3 carrots, 4 crackers, and 6 grapes.
Step-by-step explanation:
The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.
PLEASE HELP!!!
You are graphing quadrilateral ABCD in the coordinate plane. The length of segment AB is the same as the length of segment DC, and both segments are horizontal. The following are three vertices of quadrilateral: A (1, 1), C (4.5, 4), and D (-1.5,4). All you know about point B is that is in the first quadrant.
What are the coordinates of point B?
Answer:
B(2.75,2.5)
Step-by-step explanation:
B(x,y)
Bx= Ax+Cx 1 + 4.5 5.5
---------- = -------------- = --------- = 2.75
2 2 2
By = Ay+Cy 1 + 4 5
---------- = ----------- = ---------- = 2.5
2 2 2
coordinates of point B(2.75,2.5)
Can someone help me please?
Answer:
B) x = 2√2, y = 2
Step-by-step explanation:
The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45. This means that the two sides on the right angle are the same length, so y = 2.
With that then, you can use the Pythagorean theorem to solve for x:
[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]
So the correct answer is b. x is equal to two root two, and y is equal to two.
A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
Are the two ratios relationships below equivalent? Explain why or why not.
3 pink umbrellas to 21 green umbrellas
and
6 pink umbrellas to 36 green umbrellas
Answer:
No
Step-by-step explanation:
Find the unit rates, meaning how many green umbrellas per pink umbrella? So we have 2 ratios:
1. 3:21
2. 6:36
For the first ratio, divide both sides by 3 to find how many green umbrellas per pink umbrella. 1:7
Do the same for the second one, 1:6. So they are different.
Answer:
r horses and I am a little girl but I've never seen her
Simpily the expression below: 2(4x + 5y)
Answer: 8x+10y
Step-by-step explanation:
2(4x)= 8x
2(5y)= 10y
8x+10y
Determine if the data is skewed or symmetric.
Answer:
skewed
Step-by-step explanation:
The product of two numbers decreased by six is less than 30. Write an algebraic expression, but do not solve. *
Answer:
(x × y) - 6 < 30
xy - 6 < 30
xy < 30 + 6
xy < 36
Step-by-step explanation:
Let us represent:
First number = x
Second number = y
The product of two numbers decreased by six is less than 30.
The algebraic expression is given as
(x × y) - 6 < 30
xy - 6 < 30
xy < 30 + 6
xy < 36