Answer:
100 & 80
Step-by-step explanation:
100 appears twice...same with 80
After a 20% discount, the price of an article is 6800$. What is the original price of the article?
Answer:
The total of the discount would be 1,360.
Step-by-step explanation:
If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.
Write an equation in slope-intercept form of the line that passed through (-3,4) and (1, 4).
Show work
Answer:
y = 4
Step-by-step explanation:
Use slope intercpet form: y = mx + b
A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect.
Pattern A
3.675. 10 = 3.6750
3.675. 100 = 3.67500
3.675 • 1,000 = 3.675000
Pattern B
3.675.0.1 = 3.0675
3.675.0.01 = 3.00675
3.675 . 0.001 = 3.000675
The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
How to solve the decimals?From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.
In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.
Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
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Answer:
Area of polygon = 42.63 mm²
Step-by-step explanation:
Given:
L = 8.7 mmW = 4.9 mmTo find the area of the polygon (rectangle), multiply the length with the width.
⇒ Area of polygon = LW
Substitute the values into the area:
⇒ Area of polygon = (8.7)(4.9) [L = 8.7 mm; W = 4.9 mm]
⇒ Area of polygon = 42.63 mm²
As it's a rectangle
Area:-
Length×Breadthlw8.7(4.9)42.6mm^2Aiden invested $43,000 in an account paying an interest rate of 9 1/4 % compounded monthly. Hailey invested $43,000 in an account paying an interest rate of 8 7/8% compounded continuously. To the nearest dollar, how much money would Aiden have in his account when Hailey's money has doubled in value?
first off let's change the mixed fractions to improper fractions, and let's Hailey's account first.
[tex]\stackrel{mixed}{9\frac{1}{4}}\implies \cfrac{9\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{37}{4}} ~\hfill \stackrel{mixed}{8\frac{7}{8}}\implies \cfrac{8\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{71}{8}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &\stackrel{43000(2)}{\$86000}\\ P=\textit{original amount deposited}\dotfill & \$43000\\ r=rate\to \frac{71}{8}\%\to \frac{~~ \frac{71}{8}~~}{100}\dotfill &0.08875\\ t=years \end{cases} \\\\\\ 86000=43000e^{0.08875\cdot t}\implies \cfrac{86000}{43000}=e^{0.08875t}\implies 2=e^{0.08875t}[/tex]
[tex]\ln(2)=\ln(e^{0.08875t})\implies \log_e(2)=\log_e(e^{0.08875t})\implies \ln(2)=0.08875t \\\\\\ \cfrac{\ln(2)}{0.08875}=t\implies 7.81\approx t[/tex]
ok, now we know how long it takes for Hailey's money to double, how much money does Aiden have by then?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$43000\\ r=rate\to \frac{37}{4}\%\to \frac{~~ \frac{37}{4}~~}{100}\dotfill &0.0925\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &\frac{\ln(2)}{0.08875} \end{cases}[/tex]
[tex]A=43000\left(1+\frac{0.0925}{12}\right)^{12\cdot \frac{\ln(2)}{0.08875}}\implies A=43000\left( \frac{4837}{4800} \right)^{\frac{12\ln(2)}{0.08875}}\implies \boxed{A\approx 88311}[/tex]
notice, in Hailey's amount we used the logarithmic value for "t", just to avoid any rounding issues.
please help me asap...
Answer:
First one.
Step-by-step explanation:
Quantity is usually the best way to know people's preference, that's why Family Feud asks 100 people for their question's answers. This answer may be wrong, since this question is a bit due to opinion. Hope this helps! <3
i really need the help with this multiple choice question for geometry.
Answer:
A. 50°
Step-by-step explanation:
The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.
∠ACB = 180° -AB
∠ACB = 180° -130°
∠ACB = 50°
Solve the following inequality for s. Write your answer in simplest form.
-10 + 5(78 + 8) < - 4s +3 - 8
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \: - 10 + 5(86) < - 4s - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - 10 +430 < - 4s - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 420 + 5 < - 4s [/tex]
[tex]\qquad \sf \dashrightarrow \: 42 5 < - 4s [/tex]
[tex]\qquad \sf \dashrightarrow \: 42 5 \div 4 < - s [/tex]
[tex]\qquad \sf \dashrightarrow \: 106.25 < - s [/tex]
Inequalities change when it is multiplied by -ve number
[tex]\qquad \sf \dashrightarrow \: - 106.25 > s [/tex]
Aluminum can have a capacity of 2.32 L. How many milliliters of soup can it hold? Helpfull tip (1 L = 1,000 mL)
Answer:
2320 mLStep-by-step explanation:
Convert the volume from L to mL according to capacity of the can.
2.32 L = 2.32 * 1000 mL = 2320 mLAnswer:
2320 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:
⇒ 2.32 liters = 2.32 × 1000
= 2320 milliliters
**To multiply a number by 1000, simply move the decimal point 3 places to the right**
identify the equation of the graph.
2x+3y=6
2x-3y=6
2x-3y=-6
2x+3y=-6
help me plsssssssssssaaaa
Answer:
the area would be 11/6 yards^2
or 1 5/6 yards^2 or 1.8333333...yards^2
Step-by-step explanation:
turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify
Step-by-step explanation:
Turn 2 3/4 into an improper fraction
11/4
Multiply both fractions
2/3 × 11/4 = 22/12
Simplified is 11/6 (you divide 22/12 by 2)
Classify each of the following angles as acute, obtuse, right,straight, or reflex.
Answer:
1. Acute, because it is less than 90 degrees or less than a right angle.
2. that is obtuse because it is bigger than 90 degrees
3. acute, because it is less than 90 degrees.
Answer:
1. Acute 2. Obtuse 3. Acute
Step-by-step explanation:
1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.
The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?
4374
Step-by-step explanation:
We are multiplying by 3 each time
2*3 = 6
6*3 =18
18*3 = 54
The formula is
an = 2 * 3^(n-1) where n is the term number
a8 = 2 * 3^(8-1)
a8 = 2 * 3^7
a8 = 2*2187
a8 = 4374
Answer:
4374
Step-by-step explanation:
First term, a =2
Common ratio, r = 3
nth term = a.r^(n-1)
where , n is the number of terms
8th term = 2.(3)^(8–1)
=2(2187)
=4374
⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
PLEASE ANSWER ASAPPP!! Will get brainliest
Answer:
y=-2x+2
Explanations:
the slope is -2 and the y-intercept is (0,2)
Find the volume of the following. Show your work
Answer:
the #1 one is about 307.88 & the #2 on is 100.53
Step-by-step explanation:
Answer:
308 in³, 101 in³ (from left to right)
Step-by-step explanation:
Volume of cylinder= πr²h, where r is the radius and h is the height.
Cylinder on left
radius= 7 in
height= 2 in
Volume
= π(7²)(2)
= 98π
= 308 in³ (3 s.f.)
Cylinder of right
radius= 4 in
height= 2 in
Volume
= π(4²)(2)
= 32π
= 101 in³ (3 s.f.)
Can someone solve this so that i can confirm that I’m doing it right?
Answer:
Below in bold.
Step-by-step explanation:
x /18 = 12/10
10x = 18*12
x = 216/ 10
= 21.6.
10/w = 18/24
10/w = 3/4
3w = 40
w = 40/3 = 13 33 to the neaest hundredth.
If tanx = 0.75, find the value of
i. cos2x + sin2x
2tanx
ii.
for 0° < x < 90°
C0Sx-sinx
-
Answer:
i. 31/25
ii. 1/5
Step-by-step explanation:
you know that tanx = 3/4, so you can also find that sinx = 3/5 and cosx = 4/5. Then you can use the double angle identities to find cos2x and sin2x: cos^2(x) - sin^2(x) + 2sinxcosx and substitute the givens to get 31/25. Then, cosx - sinx is obviously 1/5.
Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.
Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:
[tex]\tan{20^\circ} = \frac{h}{34}[/tex]
h = 34 x tan(20º)
h = 12.4.
The rarmp will rise 12.4 inches at it's highest end.
More can be learned about the slope concept at https://brainly.com/question/18090623
Answer:I just got it wrong the answer is 11.6
Step-by-step explanation:
please help gotta get this gradae up
Answer:
its Y (bottom left graph)
Step-by-step explanation:
i graphed the function on desmos and matched it
Help!!!!
20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
There are 13 or 14 pictures can be taken.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Total students at booth= 27 students
Number of person in a group = 2
Then, the possible number of pictures can be
x = 26/2
x= 13
Since one person is left and have a single photo which shows total 14 pictures.
Learn more about Algebra here:
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Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answer:
x = 53.15
Step-by-step explanation:
use Pythagoras theorem
first find for the triangle that has both sides given and then solve for the other
The sum of two trinomials is 7x2 - 5x + 4. if one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?
a.
10x2 - 3x + 3
b.
4x2 - 7x + 5
c.
10x2 + 7x + 5
d.
4x2 - 3x + 3
Answer:
b. 4x^2 -7x +5
Step-by-step explanation:
When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...
(7x^2 -5x +4) - (3x^2 +2x -1)
= (7 -3)x^2 +(-5 -2)x +(4 -(-1))
= 4x^2 -7x +5 . . . . . matches B
Factor 15x ^2 −42xy+24y^2
What is the Evaluate 5^3+6x3
Answer:
33 Is your answer :)
Step-by-step explanation:
Always do P.E.M.D.A.S ( always go in order it gives you) parenthesis, exponets, multiply/divide, and add/subtract
5^3+6*3=
15+18= 33
What is the reason for statement 3 in the proof below?
Given: ABCD is a parallelogram
Prove:
Answer: Alternate interior angles theorem
Step-by-step explanation:
the area of a square is 32 cm. find the length of the diagonal
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:
The length of the diagonal is 8 cm.
Step-by-step explanation:
The side length of the square is √32 cms.
The diagonal divide the square into 2 congruent right triangles.
We use Pythagoras Theorem here:
d^2 = (√32)^2 + (√32)^2
d^2 = 32 + 32 = 64
d = √64 = 8.
What is the degree of the polynomial?
1
2
4
6
Answer:
The answer is 6.
Step-by-step explanation:
The degree is the largest exponent on the variable. And in this case the answer is 6.
please help in math!! no links please
Answer:
[tex]\orange{ \rule{100pt}{999999pt}}[/tex]
SOMEONE HELP!!!!!!!
Answer:
115.395 min
Step-by-step explanation:
First we find the volume of 6 cm of water. We use the formula:
[tex]\pi *radius^2 *height[/tex]
[tex]\pi *35^2*6 = 23,079 cm^3[/tex]
1 L/min = 1000 cm^3 / min
0.2 L/min = 200 cm^3 /min
[tex]\frac{23,079}{200} = 115.395 min[/tex]
8. A cube container, with original volume 64 in. 3, is being redesigned to increase
its capacity. The expression x + 64 in. ? models the volume of the new cube.
If the volume can increase by a maximum of 100 in. 3, what is the maximum
measurement of the edge of the larger cube, rounded to the nearest tenth?
The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches
How to determine the maximum edge of the larger cube?The volume of the container is given as:
V = 64 cubic inches
When it increases by a maximum of 100 cubic inches, the new volume becomes
V = 164 cubic inches
The volume of a cube container is calculated using:
V = l³
Where l represents the edge length of the cube
Substitute 164 for V
l³ = 164
Take the cube root of both sides
l = 5.5
Hence, the maximum measurement of the edge of the larger cube is 5.5 inches
Read more about volumes at:
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