Suppose that Eldi has x years old now :
x + 4 = 3 × ( x - 10 )
x + 4 = 3x - 30
Add both sides 30
x + 4 + 30 = 3x - 30 + 30
x + 34 = 3x
Subtract both sides x
x - x + 34 = 3x - x
34 = 2x
2x = 34
Divide both sides by 2
2x ÷ 2 =34 ÷ 2
x = 17
_____________________________
Thus Eldi is 17 .
Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation:
Calculate the volume of the composite solid.
Answer:
about 33.52 in^3
Step-by-step explanation:
Volume of composite figure = volume of cone + volume of hemisphere
Volume of a cone = 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 2^2 x 4 = 16.74 inches^3
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 3.14
r = radius
2/3 x 3.14 x 2^3 = 16.74 inches^3
16.74 inches^3 + 16.74 inches^3 = 33.49
The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference
Answer:
the common difference is 6.
Step-by-step explanation:
Given;
first term of an AP, a = -7
let the common difference = d
The third term is written as;
T₃ = a + 2d
The eight term is written as;
T₈ = a + 7d
The ratio of the eight term to third term = 7:1
[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]
Therefore, the common difference is 6.
Please help i will give decent points if corrected
Answer:
5.656854
Step-by-step explanation:
So technically, the distance is the hypotenus of the right triangle that forms.
That means we find the square root of 32, or the hypotenuse
[tex]\sqrt{32} = 5.656854[/tex]
Look at picture below for what I mean.
If my answer is incorrect, pls correct me!
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-Chetan K
Which pair of events is a dependent event?
A. rolling a 6 on a number cube and then rolling a 1 on the same number cube
B. one girl born on july 29 and another girl born on july 29 next year
C. drawing a purple card from a deck of cards then without replacement drawing another purple card
D. drawing a red button out of a bag of red and white buttons, replacing the button, and then drawing out another red button.
c is the answer
good luck :))))
I need help plz. Lollzzz
Answer:
[tex]5 \sqrt{3i} [/tex]
Step-by-step explanation:
[tex] \sqrt{ - 108} - \sqrt{ - 3} [/tex]
[tex] \sqrt{ - 1} (108) - \sqrt{ - 3} [/tex]
[tex]i \times \sqrt{108} - \sqrt{ - 3} [/tex]
[tex]i(6 \sqrt{3} ) - \sqrt{ - 3} [/tex]
[tex]6i \sqrt{3} - \sqrt{ - 3} [/tex]
[tex]6i \sqrt{3} - i \sqrt{3} [/tex]
[tex]5 \sqrt{3i} [/tex]
Hope it is helpful....Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%
Answer:
$42.50
Step-by-step explanation:
discount reduces the price of the good
discount value = 15% x 50 = 0.15 x 50 = 7.5
sales price = 50 - 7.5 = 42.50
How could I solve this equation by dividing first? 4(x+7)=40
Answer:
You could divide 4 from both sides first
Maggie wants to have a 94 average in science class. Her last 5 test grades were 95, 98, 89, 92, and 94.
What score does Maggie need to get on her last science test in order to have a 94 as her final average?
A - 94
B - 95
C - 96
D - 97
Answer:
C. 96
Step-by-step explanation:
95 + 98 + 89 + 92 + 94 + 96 = 564
564/6 = 94
Answer:
C.) 96
Step-by-step explanation:
First of all, to find the average you need to add up the values given then divide the total by the number of values. Since we already have some of the values given which are 95, 98, 89, 92, and 94, we're going to add them up. Once you add them, you should get a total of 468. Now, we add another value that is in the answer choices because we're figuring out what Maggie needs to score on her science test to get a 94 as her final. We then would add 94 to the total which should give us 562. Next, we divide 562 by however many values we have which is 6. Once the total is divided by 6, the quotient should be 93.666.... As you can see, it doesn't give us 94, thus making A not the correct answer. You will continue to do this with the other answer choice questions until you get 94.
Here is a less wordy way to find the answer:
1.) Add up the values given
2.) Pick an answer choice and add the value to the total
3.) Divide by however many values are there
4.) Continue this until you find the correct answer
95 + 98 + 89 + 92 + 94 = 468
Pick an answer choice
468 + 96 = 564
Count the total values, including the answer choice
564 ÷ 6 = 94
There exist two complex numbers $c$, say $c_1$ and $c_2$, so that $3 + 2i$, $6 + i$, and $c$ form the vertices of an equilateral triangle. Find the product $c_1 c_2$ in rectangular form.
The product $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{pi}{3})}\$.[/tex]
How to find the product $c_1 c_2$ in rectangular formLet $c_1$ and $c_2$ be the two complex numbers that frame an even triangle with $3+2i$ and $6+i$.
The dispose of between two complex numbers $a$ and $b$ is given by $|b-a|$. Since the triangle is even, the wipe out someplace in the scope of $3+2i$ and $6+i$ ought to be equivalent to the underlying venture with to the kill among $3+2i$ and $c$, conjointly make back the underlying speculation with to the take out among $6+i$ and $c$.
So, we have the following conditions:
$|6 + i - (3 + 2i)| = |c - (3 + 2i)|$
$|6 + i - (3 + 2i)| = |c - (6 + i)|$
Tackling these conditions, we get:
$|3 - i| = |c - (3 + 2i)|$
$|3 - i| = |c - 6 - i|$
Presently, let's discover the esteem of $c$:
$|c - (3 + 2i)| = |3 - i|$
[tex]\$|c - (3 + 2i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]
So, [tex]\$c - (3 + 2i) = \pm \sqrt{10} e^{i\theta}\$[/tex], where [tex]\$\theta\$[/tex] is the point between the positive genuine hub and the line interfacing $3+2i$ and $c$?
Presently, let's discover the esteem of $c$ utilizing the moment condition:
$|c - (6 + i)| = |3 - i|$
[tex]\$|c - (6 + i)| = \sqrt{(3-0)^{2} + (-1-0)^{2} = \sqrt{10}\$[/tex]
So, [tex]\$c - (6 + i) = \pm \sqrt{10} e^{i\theta'}\$[/tex], where [tex]\$\theta'\$[/tex] is the point between the positive genuine hub and the line interfacing $6+i$ and $c$?
Since the triangle is equilateral, $theta$ [tex]\$\theta'\$[/tex] must vary by [tex]\$\pm[/tex] [tex]\frac{\pi}{3}\$.[/tex]
Presently, let's discover the item $c_1 c_2$:
$c_1 c_2 = (c - (3 + 2i))(c - (6 + i))$
$c_1 c_2 =[tex](\pm \sqrt{10} e^{i\theta})(\pm \sqrt{10} e^{i(\theta \pm \frac{\pi}{3})})\$[/tex]
$c_1 c_2 = [tex]10 e^{i\theta} e^{i(\theta \pm \frac{\pi}{3})}\$[/tex]
$c_1 c_2 = [tex]10 e^{i(2\theta \pm \frac{\pi}{3})}\$[/tex]
So, the item $c_1 c_2$ in rectangular frame is [tex]\$10 e^{i(2\theta \pm \frac{\pi}{3})}\$.[/tex]
Learn more about rectangular form here:
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Help what does this mean please answer fast
Answer: that is a less than sign or symbol
Step-by-step explanation:
Answer: Less than or Equal to
Find missing measure
Answer:
x = 40°
Step-by-step explanation:
using the angle sum theorem...
180 - 90 - 91 - 51 = 40
Answer:
Step-by-step explanation:
51+x+90+91=360(sum of four angles is always 360 degree)
232+x=360
x=360-232
x=128
Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure will consist of four square-based, two-inch thick slabs of clay, with each slab two inches less wide than the one beneath it. Fernando has one-half of a container of clay left after forming the first two slabs. Does he have enough clay to finish the structure?
Answer:
Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.
Step-by-step explanation:
Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.
Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.
We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.
So, 3V/2 = 2w² + 2(w - 2)²
= 2w² + 2(w² - 4w + 4)
= 2w² + 2w² - 8w + 8
= 4w² - 8w + 8
= 4(w² - 2w + 2) (1)
Also we want to know if V/2 is equal to the volume of the two top-most slabs.
So, V/2 = 2(w - 4)² + 2(w - 6)²
= 2(w² - 8w + 16) + 2(w² - 12w + 36)
= 2w² - 16w + 32 + 2w² - 24w + 72
= 4w² - 40w + 104
= 4(w² - 10w + 26)
From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)
Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.
18) What value of x makes R(x) = 10
5 points
18
16
R(x)
12
10
D(x)
8-
8
Please help I don’t have much time
========================================================
Explanation:
Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.
See the diagram below.
The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
Answer:
RSVUT IS THE CORRECT ANSWER
A rental car company charges $62.47 per day to rent a car and $0.09 for every mile driven. Ariana wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $320 to spend.
What is the maximum number of days that Ariana can rent the car while staying within her budget?
Answer:
only 11 days
Step-by-step explanation:
rs 560 in the ratio of 1:3:4
Step-by-step explanation:
see in picture .
you can find your answer
need help!! will give brainliest 2 whoever can give the right answer.
Answer:
Step-by-step explanation:
i dont know
The selling price of a fan excluding VAT is Rs 1250. It is given that the VAT rate is 15 %. Find the price of the fan inclusive of VAT.
Answer:
Rs 1,437.5
Step-by-step explanation:
VAT = 15% = 15/100 × Rs 1250 = Rs 187.5
the price inclusive of VAT = Rs 1,250 + Rs 187.5
= Rs 1,437.5
(20 POINTS)which equation best matches the model of the sum of the fraction
I believe the correct answer is:
4/4 + 3/4 + 2/4 = 9/4 (The one in the bottom right corner)
I hope this helps! :D
please help will give brainlyest need help asap
Answer:
friend me on here and imma send you the link Step-by-step explanation:
What will be the new position of the given point (-2,7)after translation of 3 units up and 1 units left?
Answer:( -3, 10)
Step-by-step explanation:
Please help with this geometry question
Answer:
5894.82 ft^3
Step-by-step explanation:
We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.
Which would hold more water, a cube measuring 10 inches on all edges, or a cylinder with a height of 10 inches and a diameter of 10 inches. Why? Explain.
5dgji
Step-by-step explanation:
how???? ... hope it is good
The image below shows F with perpendicular tangent lines at points A and B.
Step-by-step explanation:
a) A & B are tangent points and that makes angle AFB = 90°
b) Since line DB is a diameter, that makes arcADB a semicircular arc.
c) We know that A & B are tangent points which makes the figure AFBC a square.
answer fast and good
Answer:
4x=300
4y=400
y=100
x=75
6×75 =450
2×100=200
a=450
b=200
y for beef
x for vegetables
help me pls i dont understand
Step-by-step explanation:
Well "Sum" im sure is adding, so it would be close to 3 + n
Answer:
c
Step-by-step explanation:
show all work. Write the equation in point slope form (5, -9); m = 6
A billboard is 6 meters long . One centimeter is approximately 0 .39 inch . About how long is the billboard in inches? Round to the nearest whole inch. In.
Answer: 234 inches
Step-by-step explanation:
The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.
To convert the length to inches therefore, convert the length from meters to centimeters first:
1 meter = 100 cm
6 meters would therefore be:
= 6 * 100
= 600 cm
1 cm = 0.39 inches so 600 cm is:
= 600 * 0.39
= 234 inches
Amy and Myra each walked from their houses to the mall. Amy walked one half a mile and Myra walked two-thirds of a mile. How far did the girls walk all together?
in fractions pls help me
Answer:
its c
Step-by-step explanation:
just add 1/2 +2/3 = 1 1/6
Total distance of the girls walk all together is 7/6 of a mile.
Here,
Given that;
Amy and Myra each walked from their houses to the mall.
Amy walked one half a mile and Myra walked two-thirds of a mile.
We have to find the total distance of the girls walk together.
What is Distance?
Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
Now,
Amy walked one half a mile.
⇒ 1/2
Myra walked two-thirds of a mile.
⇒ 2/3
Hence,
Total distance of the girls when they walk together = [tex]\frac{1}{2} + \frac{2}{3}[/tex]
= [tex]\frac{3+4}{6}[/tex]
= [tex]\frac{7}{6}[/tex]
So, Total distance of the girls walk all together is 7/6 of a mile.
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