Answer:
I’m pretty sure it’s A
Andy's savings to earnings ratio is $0.15:$1. If Andy earns $1200, how much will he save?
Answer:
it would be c
Step-by-step explanation:
PLESE HELP ME 10 points I NEED HELP
Driving at constant speed, Rusty drove 600 miles in 10 hours.
How many miles would he drive in 15 hours?
Answer:
hello, okay so im in 6th so this is easy. so
Step-by-step explanation:
figure out what 1 mile is. 1 mile would be 600 divided by 10, which is 60. so 60*15 would be 900. so he would drive 900 miles in 15 hours. :);
A ramp has a height of 5.8 feet and an angle of 80°.
What is the length of the ramp, y to the nearest tenth of a foot?
Answer:
y ≈ 33.4 ft
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesTrigonometry
[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing length.
Step 2: Identify Variables
POV from angle measure
Angle = 80°
Adjacent = 5.8
Hypotenuse = y
Step 3: Solve for y
Substitute [cosine]: cos80° = 5.8/yMultiply y on both sides: ycos80° = 5.8Isolate y: y = 5.8/cos80°Evaluate: y = 33.4009Round: y ≈ 33.4 ftConvert 1.0395 to scientific notation
Answer:
i forgot how to do this
Step-by-step explanation:
A shipping box, in the
shape of a cube, has a volume of 2,300
cubic inches. Estimate the length of the side
of the shipping box to the nearest Integer
Answer:
13 inches
Step-by-step explanation:
length of side of cube: x
volume of cube = x³ = 2300
x = ∛2300 = 13.2
that 6 > –2, which statements are true? Check all that apply.
Answer:
The following statements are true
(2)(6) > (–2)(2)
6/-2 < -2/-2
6/2 > -2/2
Step-by-step explanation:
Missing options
(2)(6) > (–2)(2)
6/2 < -2/2
(–2)(6) > (–2)(–2)
6/-2 < -2/-2
(2)(6) < (–2)(2)
6/2 > -2/2
Before we know which statement is true, you must understand that when both sides of an inequality is multiplies or divided by a negative number, the inequality sign reverses.
For the first option:
6 > -2
Multiplying both sides by 2 will not reverse the inequality sign
Hence 2(6)>2(-2) is true since the inequality was retained.
For the second option:
6/2 < -2/2
Dividing both sides by 2 will not reverse the inequality sign
Hence 6/2>2/2 is true nullifying the given expression 6/2 < -2/2 . Hence this expression is false
For the third option:
(–2)(6) > (–2)(–2)
Both sides were multiplied by a negative number i.e -2. Hence the sign supposed to reverse because -12 > 4 is false therefore this expression is FALSE
For the fourth option
6/-2 < -2/-2
Both sides were divided by a negative number i.e -2. Hence the sign supposed to reverse because -3 < 1 is true, therefore this expression is TRUE
For the fifth option:
((2)(6) < (–2)(2)
Both sides were multiplied by a positive number i.e 2. Hence the sign is not supposed to reverse because 12 < -4 is False, therefore this expression is FALSE
For the sixth option:
6/2 < (–2)/2
Both sides were divided by a positive number i.e 2. Hence the sign is not supposed to reverse because 3 < -4 is TRUE, therefore this expression is TRUE
Simplify the following expression by combining like terms. Select the most simplified expression
4(5m + 3) + 2m
A: 20m + 6 + 2m
B: 22m +6
C: 20m + 12 + 2m
D: the 22m + 12
Answer:
It is D
Step-by-step explanation:
Distribute:
=(4)(5m)+(4)(3)+2m
=20m+12+2m
Combine Like Terms:
=20m+12+2m
=(20m+2m)+(12)
=22m+12
A company is assembling packages of life jackets for boats. The table below shows the number of children’s life jackets and the number of adult life jackets in some different packages.
The ratio of the number of children’s life jackets to the number of adult life jackets in each package is constant. Based on the information shown in the table, which two ratios could also be included in the table?+
Contents of Life Jacket Packages
Number of Children’s Size
1,4,7
Number of Adult sizes
6,12,21.
A- 28:32 and 31:35
B-11:22 and 16:32
C- 13:27 and 22:36
D-10:30 and 17:51
Answer: My buy Justin is cracked at fortnite my guy...
Step-by-step explanation:
Answer:
10:30 and 17:51
Step-by-step explanation:
There are 150 children at summer camp. Using the table below, what is the percentage, to the nearest whole percent, of children that did not sign up for canoeing?
Answer:
I would say around 41.3% I'm sorry if I am wrong :/
Step-by-step explanation:
62/150 around 0.413
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1,-5)
I
ULTS
Factor completely
5) 15m2 - 6
6) 2x2 + 5x - 10% - 25
Answer:
Please check the explanation.
Step-by-step explanation:
4)
If an equation representing a parabola is in vertex form such as
[tex]y\:=a\left(x-k\right)^2+h[/tex]
then its vertex will be at (k, h).
Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form
[tex]y\:=a\left(x+1\right)^2+3[/tex]
If this parabola also passes through the point (1, -5) then we can determine the 'a ' parameter.
[tex]-5\:=a\left(1+1\right)^2+3[/tex]
simplifying the equation
[tex]2^2a+3=-5[/tex]
[tex]4a+3=-5[/tex]
subtract 3 from both sides
[tex]4a+3-3=-5-3[/tex]
[tex]4a=-8[/tex]
Divide both sides by 4
[tex]\frac{4a}{4}=\frac{-8}{4}[/tex]
[tex]a=-2[/tex]
So our equation in vertex form is:
[tex]y\:=-2\left(x+1\right)^2+3[/tex]
5)
Given the expression
[tex]15n^2-6n[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]
[tex]=15nn-6n[/tex]
[tex]\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2[/tex]
[tex]\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5[/tex]
[tex]=3\cdot \:5nn-3\cdot \:2n[/tex]
Factor out the common term 3n
[tex]=3n\left(5n-2\right)[/tex]
6)
Given the expression
[tex]2x^2+5x-10x-25[/tex]
Factor 2x²+5x: x(2x+5)
Factor -10x-25: -5(2x+5)
so the expression becomes
[tex]=x\left(2x+5\right)-5\left(2x+5\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}\left(5+2x\right)[/tex]
What is the solution set of -11 > 1 + a ?
a > -10
a -12
Answer:
a < -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-11 > 1 + a
Step 2: Solve for a
Subtract 1 on both sides: -12 > aRewrite: a < -12Here we see that any value a smaller than -12 would work as a solution to the inequality.
Answer:
a < -12
Step-by-step explanation:
URGENT
what should be the first step in adding these equations to eliminate y?
3x + 4y = 8
+ 6x - 2y = 9
Answer:
Multiply the bottom equation by 2.
Step-by-step explanation:
The given equation are:
3x + 4y = 8
and 6x – 2y = 9
(1)
(2)
Now, in order to add these equations and eliminate y, we should multiply the bottom equation by 2, thus we have
3x + 4y = 8
12x – 4y= 18
(3)
(4)
Now, adding the above equations, we
have
15x 26
= 26 15
Now, substituting the value of x in equation (3), we have
3(25) + 4y=8
y=1
Answer:
Multiply the bottom equation by 2.
Step-by-step explanation:
A.P.E.X 2021
If Margie worked 47 hours at $8.00 an hour, what is her weekly gross pay?
Verify that f has an inverse. Then use function f and the given real number a to find (f-1)'(a).
Answer:
6.
Step-by-step explanation:
f(x) = √(x - 4) x > 4
y = √((x - 4)
Square both sides
y^2 = x - 4
x = y^2 - 4
So the inverse:
f-1(x) = x^2 + 4
f(-1)'(x) = 2x
When x = 3
f(-1)'(3) = 2(3) = 6.
3x — 2y = –12
y = 4r + 1
Graph
Answer:
(x,y)=(-10/3+8r/3,4r t 1)
Step-by-step explanation:
乁( •_• )ㄏMe da wuebo escribir todo la explicación
I really NEED help!
Question 1-
Super Sally works every day in the school office and earns $57 per day. Lazy Petunia shows up to work fewer than half as many days as Sally, and earns only $20 per day. At the end of the school year, their total earnings are $7733. The number of days that Petunia worked is closest to a) 20 b) 30 c) 40 d) 50 e) 60
Question 2-
How many 4 digit even numbers can be formed using 0,1 , 5,6, 7, 8 and 9 if repeats of digits are not allowed?
A) 120 B) 240 C) 320 D) 360 E)480
Question 3- The value of 28^983 x 98^984/14^2948
A) 98 B)392 C)784 D) 1372 E)2744
/=division
THANK YOU SO MUCH in advance!
The number of days Super Sally and Lazy Petunia work are illustrations of simultaneous equations
(a) Super Sally and Lazy Petunia
Represent their earnings with the first letters.
So, we have:
[tex]\mathbf{L = \frac 12S}[/tex] -- number of days
[tex]\mathbf{20L + 57S= 7733}[/tex] --- the total earnings
Make S the subject in [tex]\mathbf{L = \frac 12S}[/tex]
[tex]\mathbf{S = 2L}[/tex]
Substitute 2L for S in [tex]\mathbf{20L + 57S = 7733}[/tex]
[tex]\mathbf{20L + 57 \times 2L = 7733}[/tex]
Expand
[tex]\mathbf{20L + 114L = 7733}[/tex]
Add
[tex]\mathbf{134L = 7733}[/tex]
Divide both sides by 134
[tex]\mathbf{L = 57.7}[/tex]
From the options, the closest to 57.7 is 60.
Hence, the number of days that Petunia worked is closest is 60
(b) 4 digit even numbers
The digits are given as: 0, 1, 5, 6, 7, 8 and 9
To create a 4-digit number, the first digit cannot be 0.
So, the first digit can be any of the remaining 6
Because, it is an even number, the number can only end with 0, 6 or 8
So, the last digit can be any of the 3
Since there is no repetition, the second and the third digits can be any of the remaining 5 and 4 digits, respectively.
So, the number of digits is:
[tex]\mathbf{n =6 \times 3 \times 5 \times 4}[/tex]
[tex]\mathbf{n =360}[/tex]
Hence, the number of digits is (d) 360
(c) The value of 28^983 x 98^984/14^2948
Rewrite the expression as:
[tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex]
Express all number as a base of 14
[tex]\mathbf{\frac{14^{2 \times 983} \times 14^{7 \times 984}}{14^{2948}} }[/tex]
Apply law of indices
[tex]\mathbf{14^{2 \times 983+7 \times 984-2948}}[/tex]
Evaluate all products
[tex]\mathbf{14^{1966+6888-2948}}[/tex]
Evaluate the exponent
[tex]\mathbf{14^{5906}}[/tex]
Hence, the result of [tex]\mathbf{\frac{28^{983} \times 98^{984}}{14^{2948}}}[/tex] is [tex]\mathbf{14^{5906}}[/tex]
Learn more at:
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Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(-5, 10) and (5, -10)
a.
y = 2 x minus 10
b.
y = 2 x
c.
y = negative 2 x + 20
d.
y = negative 2 x
Answer:
The equation of the line that passes through the given points is:
[tex]y=-2x[/tex]Hence, option D is correct.
The graph of the line equation is also attached below.
Step-by-step explanation:
Given the points
(-5, 10)(5, -10)Finding the slope between (-5, 10) and (5, -10)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)[/tex]
[tex]m=\frac{-10-10}{5-\left(-5\right)}[/tex]
[tex]m=-2[/tex]
Using the point-slope form to determine the line equation
Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (-5, 10)
[tex]y-10=-2\left(x-\left(-5\right)\right)[/tex]
[tex]y-10=-2\left(x+5\right)[/tex]
Add 10 to both sides
[tex]y-10+10=-2\left(x+5\right)+10[/tex]
simplify
[tex]y=-2x[/tex]
Thus, the equation of the line that passes through the given points is:
[tex]y=-2x[/tex]Hence, option D is correct.
The graph of the line equation is also attached below.
Which of the following inequalities is equivalent to -6 > x?
A. x -6
D. x ≤ -6
Answer:
I think d
Step-by-step explanation:
Answer:
- At least <turn the other way. I think it should be d
plzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
4x⁵ z⁸
Step-by-step explanation:
hope it helps!
.......
Answer:
4 x^5 z^8
Step-by-step explanation:
To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.
Hence the above mentioned ans comes...
Hope this helps you
A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.
1 sind = 4 lorgs
2 plunks = 5 dalts
5 sinds = 2 harps
1 plunk = 3 harps
Which coin is the most valuable?
a) sind
b) dalt
c) harp
d) plunk
=================================================
Work Shown:
When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).
It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.
The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.
The four given equations are
1 sind = 4 lorgs 2 plunks = 5 dalts 5 sinds = 2 harps 1 plunk = 3 harpsI'll refer to them as equation (1) through equation (4) in that order above.
--------------
1 sind = 4 logs .... equation (1)
5 sinds = 20 lorgs .... multiply both sides by 5
2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)
1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)
--------------
1 plunk = 3 harps .... equation (4)
1 plunk = 3*(1 harp)
1 plunk = 3*(10 lorgs) .... plug in equation (5)
1 plunk = 30 lorgs .... call this equation (6)
---------------
2 plunks = 5 dalts ..... equation (2)
5 dalts = 2 plunks
5 dalts = 2*(1 plunk)
5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)
5 dalts = 60 lorgs
1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)
----------------
We found the following conversions:
1 sind = 4 lorgs .... given as equation (1)1 dalt = 12 lorgs .... found earlier as equation (7)1 harp = 10 lorgs .... equation (5)1 plunk = 30 lorgs .... equation (6)Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.
We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.
The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.
find the l.c.m of x²+x, x²-1, x²-x
Answer:
X³-x
Step-by-step explanation:
Lcm
x(x-1)(x+1)
x(x²-1)
x³-x
Divide. Give the quotient and remainder.
4391/53
Answer:
82 R?
Step-by-step explanation:
How do I solve 1.5 to the -2 power or 1.5^-2
Answer: -3
Step-by-step explanation: hope this help
Sandra's tiles 5/4 square yards in 1/3 hour. find the unit rate
Answer:
3 3/4 in 1 hour
Step-by-step explanation:
Divide
5/4 ÷ 1/3
15/4
3 3/4 per hour
The length of 1 side of a square is the 16 cm What Is the area of the square?
Answer:
256 cm^2
Step-by-step explanation:
All of the sides of the square are equal so to calculate the area we do side times side.
16*16 = 256
cm^2 is the unit for this question
Simplify the following expressions:
5x + 4 + (-x) -1
Answer:
[tex]4x+3[/tex]
Step-by-step explanation:
[tex]5x+4+(-x)-1[/tex]
Remove parentheses: [tex](-a)=-a[/tex]
[tex]=5x+4-x-1[/tex]
Group like terms
[tex]=5x-x+4-1[/tex]
Add similar elements: [tex]5x-x=4x[/tex]
[tex]=4x+4-1[/tex]
Add/subtract the numbers: [tex]4-1=3[/tex]
[tex]=4x+3[/tex]
please someone help i can’t do math it runs in the family math is HARD!!!!!
Answer:
the 6 x 5squared(with the little two on the top)
:)
Answer:
6 * 5^2 ..... 6 * 5* 5 ........ 150
Step-by-step explanation:
going left to right the top row its the 2 and 4 and the bottom row is the middle one
Would you multiply M by the third equation (6x^5.....) since it is subtraction
Answer:
B
Step-by-step explanation:
Here, we want to get the value of m
The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18
So what we have will be;
m * 6 - 6 = 18
6m -6 = 18
6m = 18 + 6
6m = 24
m = 24/6
m = 4
Mrs. Smith has a total of 27 kids in her class. There are 6 more boys than there are girls. Write a system of equations to model this.
Some Equations:
6 + x = 27
x + 6 = 27
27 - 6 = x
27 - x = 6
27 = x + 6
27 = 6 + x
There are 11 girls
A system of equations to model this statement is x + (x + 6) = 27.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, There are 6 more boys than there are girls.
Assuming no. of girls to be x, therefore no. of boys is (x + 6).
Mrs. Smith has a total of 26 kids in her class.
∴ x + (x + 6) = 27.
learn more about linear equations here :
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Does anyone knows how to solve this?
Answer:
This is the answer do it fast. Ok
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 8x + 13 ← is in standard form
with a = 1 and b = - 8 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4
Substitute x = 4 into the equation for corresponding value of y
y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3
Vertex = (4, - 3 )
The axis of symmetry is a vertical line passing through the vertex with equation
x = 4 ← equation of axis of symmetry
To determine direction of opening
• If a > 0 then graph opens up
• If a < 0 then graph opens down
Here a = 1, thus graph opens up