Answer:
Stephanie saved
Step-by-step explanation:
x+4x=15600
5x=15600
divide by 5 on both sides
you get 3120
since stephanie got 4 times more, you multiply 3120*4 and get 12480
therefore, Alejandro saved 3120
: )
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15
Answer:
21
Step-by-step explanation:
It is given that y varies inversely with x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex] ...(i)
where, k is constant of proportionality.
It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.
[tex]-105=\dfrac{k}{-3}[/tex]
[tex]-105\times (-3)=k[/tex]
[tex]315=k[/tex]
Now,
[tex]y=\dfrac{315}{x}[/tex]
Substitute x=15 in the above equation.
[tex]y=\dfrac{315}{15}[/tex]
[tex]y=21[/tex]
Therefore, the value of y is 21 when x=15.
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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Which ordered pair is a solution of the equation?
2x + 4y = 6x - y
a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither
pls answer
ill mark brainliest
Answer:
b. only 5,4
Step-by-step explanation:
Look at the data points on the graph:
Is this relation a function?
PLEASE HELP IM DUMB AND I NED THIS ASAP
Width (7.8) x length (7.8) x width (7.8) = 474.552
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
Whats the distance between the points (-9,2) and (-4,2)?
A. 5
B. 13
C. 7
D. 2
Answer:
Distance between the points (-9,2) and (-4,2):
D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5
=> Option A is correct
Answer:
B.13
Step-by-step explanation:
In order to solve the distance between two points you need the distance formula which is -> Distance = √ (x1 - x2)^2 + (y1 - y2)^2
-9 would be x1 and -4 would be x2(so the first numbers of both sets)
Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)
You plug in the numbers to the formula.
Which would be:
Distance = √ (-9-4)^2 + (2-2 )^2
Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.
Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.
You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?
Answer:
Area is: 1,728 inches
Perimeter is: 168 inches
Step-by-step explanation:
Area= Length times width
Perimeter= length plus length plus width plus width.
Answer:
1.728 is the perimeter. the area is 84.
Step-by-step explanation:
all you do multiply for perimeter and add for area.
Which expression is equivalent to 10√5
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
Which values are solutions to the inequality below
Check all that apply
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Percentages equal to 100% and how?
Answer:
2 or more percents add up to 100% or one percent is 100%
Step-by-step explanation:
A sports stadium holds 14,600 people. There are eight home games in
a season. Find the total number of people who could attend home
games in one season.
Answer:
116800
Step-by-step explanation:
14600x8
166800
Answer:
b
Step-by-step explanation:
hope this helps you
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
Can someone please tell me what is -1/9(-27) please
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answer:
divide the number of inches by 12
Step-by-step explanation:
Which is a solution to 2x + 1 = 21?
Answer:
x = 10 is your answer
- Explain -
Step 1: subtract 1 from both sides (subtraction of equality)
which will give us:
2x = 21 - 1
which equals to
2x = 20
Step 2: Divide both sides by 2
which is
2x/2 = 20/2
2/2 = 1 and 20/2 = 10
Therefore the answer is x = 10
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
find the missing angle in the triangle
Answer:
45
Step-by-step explanation:
Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!
find the volume, help please all numbers are in inches, will mark brainleist
Prism volume will be base area times height. We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24. The prism has a height 13. Multiplying we get a volume of 24×13 = 312 cubic inches.
Answer: 312 cubic inches
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
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