Answer:
Ok, when we have an equality, like:
A = B
That says that A is the same as B.
Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.
I suppose that we start with something like:
(4/3)*x = 2
(i will work with this, because you did not post the actual equations)
the thing that Carrie did is:
She multiplies both sides by 3, and get:
3*(4/3)*x = 2*3
4*x = 6
Now she divides bot sides by 4
4*x/4 = 6/4
x = 6/4 = 3/2.
Now, a simpler step is considerin (4/3) as a number A, then we have:
A*x = 2
Now we divide both sides by A.
A*x/A = 2/A
x = 2/A
and we have A = (4/3) then 1/A = (3/4)
x = 2*(3/4) = 3/2
An office supply store recently sold a black printer ink cartridge for $14.99 and a color printer ink cartridge for $20.99. At start of a recent fall semester, a total of 42 of these cartidges was sold for a total of $695.58. How many of each type were purchased?
Answer:
B = 31, C = 11
Step-by-step explanation:
Let B be the number of Black printer ink cartridges and C be the number of color printer ink cartridges.
42 were sold in total, hence,
B+C= 42 ------------(1)
Also, its given that
14.99 B+20.99C= 695.58 ------(2)
Multiplying (1) by 20.99,
14.99 B+14.99 C= 629.58 ------(3)
Now, subtracting (3) from (2),
14.99 B+20.99C= 695.58
14.99 B+14.99 C= 629.58
------------------------------------
6 C = 66
C= 66/6
C = 11
We know, B+ C= 49
Hence B = 42- 11 = 31
B = 31
Hence, number of Black printer ink cartridges = 31 and color printer ink cartridges = 11 .
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. What percentage of flu vaccine has been given?
Answer:
94.33
Step-by-step explanation:
add up all numbers then input into a percentage calculator
Percentage of flu vaccine has been given 94.33%
What is percentage?
Percentage is defined as ratio expressed as a fraction of 100.
The physician have total 1500 flu injections
300 shots given in September,
450 shots given in October,
and 665 shots given in November,
Total flu vaccine has been given = 300+450+665 = 1415
Percentage of flu vaccine has been given = (1415/1500)×100%
Percentage of flu vaccine has been given = 0.9433×100%
Percentage of flu vaccine has been given = 94.33%
Hence, percentage of flu vaccine has been given 94.33%
Learn more about percentage
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What is the solution to
Ax+ bx + C=0
Answer:
x = -C / (A + b)
Step-by-step explanation:
Without given values for the constants A, b, and C (Assuming they are constants), the best we can do is to isolate the variable x. Let's proceed to solve for x.
Ax + bx + C = 0
x (A + b) + C = 0
x (A + b) = -C
x = -C / (A + b)
So now, when you get the values of the constants A, b, and C, you can plug those in to solve for variable x.
Cheers.
Please, i need answer fast :< no steps, ILL GIVE BRAINLIEST TOO :)
Answer:
[tex]\huge\boxed{Area = 24\ square\ units}[/tex]
Step-by-step explanation:
Area of parallelogram = Base * Height
Where Base = 6 , Height = 6
Area = 6 * 4
Area = 24 square units
Answer:
24 square units
Step-by-step explanation:
the area formula is A=bh
b=6
h=4
A=4*6
A=24
A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.
A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.
positive slope
negative slope
constant slope
increasing function
decreasing function
Answer:
B, C, E
Step-by-step explanation:
I just took the test
Answer:
i dont know if im correct but
Step-by-step explanation:
B, C, and E are the right ones hope it helps
PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
__
24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
Please answer this question now
Answer:
25.13
Step-by-step explanation:
Answer:
C ≈ 25.13 feet
Step-by-step explanation:
A = πr²
16π = πr²
divide by π
16 = r²
r = 4
plug r into circumference equation:
C = 2πr
C = 2π(4)
C ≈ 25.13
hope this helps :)
4x + 5 = x + 26 need help
Answer:
x = 7
Step-by-step explanation:
4x + 5 = x + 26
4x - x = 26 - 5
3x = 21
x = 21/3
x = 7
Check:
4*7 + 5 = 7 + 26
28 + 5 = 33
what is the system is equations 5x+4y=8 2x-3y=17
Answer:
(4, -3)
Step-by-step explanation:
The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."
Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...
(x, y) = (4, -3)
__
You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.
3(5x +4y) +4(2x -3y) = 3(8) +4(17)
23x = 92 . . . . . simplify
x = 4 . . . . . . . . divide by 23
Substituting this value into the first equation, we have ...
5(4) +4y = 8
5 +y = 2 . . . . . . divide by 4
y = -3 . . . . . . . . subtract 5
The solution is (x, y) = (4, -3).
Use suitable identities to find the product of 1) (x-4) (x+10) 2) (3x+4) (3x +5) 3) (-3a +5b +4c)^2
Answer:
Step-by-step explanation:
(x-4) (x+10) ⇒ (x+a)(x+b)=x²+(a+b)x+ab
a=-4 , b=10
x²+(-4+10)x+-4(10)
x²+6x-40
(3x+4) (3x +5)
3(x+4/3) *3(x+5/3) ⇒ identity : (x+a)(x+b)=x²+(a+b)x+ab
a=4/3 b=5/3
3*3=9
9[x²+(4/3 +5/3)x+4/3(5/3)]
9[x²+9/3 x+20/9]
9x²+27x+20
(-3a +5b +4c)^2 ⇒
suitable identity is (a+b+c)²= a² + b² + c² + 2ab + 2bc + 2ca
a=-3a , b=5b , c=4c
9a²+25b²+16c²- 30ab +40bc - 24ca
7x-y= 22
4x + 2y = 10
can someone help plz?
Answer:
x = 3
y = -1
Step-by-step explanation:
Based on the fact that our have two variables and two equations, I'm going to assume you are trying to find the values of x and y.
For these two equations, let's first find the value of x using the equation elimination method.
We're going to eliminate the y variable by multiplying the first equation by 2 and then adding that new equation to the second equation.
7x - y = 22 ==> 14x - 2y = 44
4x + 2y + (14x - 2y) = 10 + (44)
18x + 0y = 54
x = 3
Now we plug the value of x back into one of the equations to find the value of y.
7x - y = 22
7(3) - y = 22
-y = 22 - 21
y = -1
So our values are as follows:
x = 3
y = -1
Cheers.
what is the general form to find square roots
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Square roots are usually in the form a√b where a and b are any rational number.
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.-6 and -1
B. -1 and 6
C. 1 and 6
D. -6 and 1
Answer:
I think C is the answer .
Step-by-step explanation:
If (x-6) and (x-1) are the factors of function f then remainder of function f is 0.
(x-6)(x-1) = 0
Either,
x-6 = 0
x = 6
and
x-1 = 0
x = 1
so 6 and 1 are the zeros or roots of function f.
Answer:
the answer is 1 and 6 :D
Step-by-step explanation:
Can someone please help!
Plot point F where angle alpha is located.
Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.
alpha = x+80
Answer: Choice Dcan any one help me in this..???? please
Answer:
(i) a1/a2 =/ b1/b2
(ii) a1/a2=b1/b2 =/ c1/c2
(iii) a1/a2=b1/b2=c1/c2
Step-by-step explanation:
=/ means not equal to.
graphical repesentation of
1.intersecting lines
2.coincident lines
3.parallel lines
a1/a2 and next two slots is basically dividing the coefficents if each equation.
for eg. 1. a1/a2= 2/4=1/2 and so on.
parallel lines are inconsistent whereas intersecting and coincident lines are consistent.
Simplify the scalar multiplication on the matrix.
Answer:
third option
Step-by-step explanation:
Given
3 [tex]\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right][/tex]
Multiply each element in the matrix by 3
= [tex]\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right][/tex]
Answer:
C.
Step-by-step explanation:
Can somebody please help me
You can pick one or the other to have as your answer
===========================
Explanation:
The formula you use is
A = pi*r^2
The radius is r = d/2 = 10/2 = 5
So,
A = pi*r^2 = pi*5^2 = pi*25 = 25pi
is the exact area
Replace pi with 3.14 to get 25*pi = 25*3.14 = 78.5
which is the approximate area
To get a better approximation, you would use more decimal digits of pi.
a trader bought 90oranges at 3 for gh¢ 0.75 .how much did she get from selling all
Answer:
How much did she sell it
7. If 10 men can build a house in 90 days, how
many men can build a home in 20 days?
A) 18
B) 36
C) 45
D) 180
Answer:
2.222.........
Step-by-step explanation:
10 : 90
x : 20
cross multiply
10 x 20 = 90x
200 = 90x
both divide by 90
x = 2.2222.......
algebraic expression twice the difference of a number and 5. with x being "a number"
Answer:
2(x-5)
Step-by-step explanation:
Answer:
the answer to your question is 5xa^2
or you can use symbolab calculator online
Am I doing this right if not please help me
Answer:
Step-by-step explanation:
For the m it would just be -3 because the equation for slope intercept form is y=mx+b
.
4 pumps can fill 800l of water in 20 min. In how many
minutes will 12 pumps fill 600l of water?
a) 6 min b) 5 min
c) 4 min d) 8 min
Answer:
Step-by-step explanation:
One pump will fill 200l in 20 minutes
So the rate of filling per pump will be 10l/minute (200/20)
Let the number of minutes it will take to fill the 600l be x minutes
Now, since the rate of filling per pump is 10 l/minute
Then in x minute, they would have filled 10l/minute * x = 10x liters
So it is now this 10x liters that will be equal to 600
To find x, we simply divide
10x = 600
x= 600/10
x = 6 minutes
whats the squareroot of 144 needs to be simplified
Answer:
12
Step-by-step explanation:
The square root of any number is basically asking "what number multiplied by itself will equal this number?"
Usually you memorize these, but there's also a quick way to do it.
We know that [tex]10\cdot10=100[/tex], so the square root must be greater than 10.
We also know that [tex]15\cdot15=225[/tex], so the square root must be less than 15.
A good mid point between these numbers is 13. Let's see what 13 squared is:
[tex]13\cdot13=169[/tex]
So it's a bit less than 13. Let's try 12.
[tex]12\cdot12=144[/tex]
So 12 is the square root of 144.
Hope this helped!
Answer:
[tex]\huge\boxed{\sqrt{144}=12}[/tex]
Step-by-step explanation:
[tex]\begin{array}{c|c}144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\144=2\cdot2\cdot2\cdot2\cdot3\cdot3=2^2\cdot2^2\cdot3^2\\\\\sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{3^2}=2\cdot2\cdot3=12\\\\\text{Used}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\sqrt{a^2}=a\\\\\text{for}\ a\ge0,\ b\geq0[/tex]
(b) The train is 61 cm long and travels at a speed of 18 cm/s.
It takes 4 seconds for the whole of the train to cross a bridge.
Calculate the length of the bridge.
Answer:
The length of the bridge is 72 cm
Step-by-step explanation:
In order to find the length of bridge, we have to apply distance formula which is D = S × T where S represents speed and T is time :
[tex]d = s \times t[/tex]
[tex]let \: s = 18,t = 4[/tex]
[tex]d = 18 \times 4[/tex]
[tex]d = 72 \: cm[/tex]
The length of the bridge is 11 cm .
What is relationship between distance time and speed ?When an object moves in a straight line at a steady speed, we can calculate its speed if we know how far it travels and how long it takes. This equation shows the relationship between speed, distance traveled and time taken:
Speed is distance divided by the time taken.
For example, a car travels 30 kilometers in 2 hours.
Its speed is 30 ÷ 2 = 15km/hr.
Formula used :
Distance = Speed * Time
Time = Distance / Speed
Speed = Distance / Time
According to the question
Length of train = 61 cm
Speed of train = 18 cm/s
Time taken to cross the bridge = 4 seconds
In this length traveled by train = length of train + Length of bridge
( as time given is to completely cross platform )
Therefore,
length traveled by train = 61 + Length of bridge
formula used
Distance = Speed * Time
61 + Length of bridge = 18 * 4
61 + Length of bridge = 72
Length of bridge = 72 - 61
Length of bridge = 11 cm
Hence, the length of the bridge is 11 cm .
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Help ASAP In a system of linear equations the two equations have the same slope. Describe the possible solutions to this equation.
Answer:
If the two linear equations have the same slope, the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions.
100 Points!! Pls answer ASAP, short explanation as well. Thx!
Answer:
2/3 x [tex]\sqrt[4]{y^2}[/tex]
Step-by-step explanation:
( 16 x^11 y^8 / 81 x^7 y^6) ^ ( 1/4)
Simplify the expression inside the parentheses
Rewriting the constant
16/81 = 2^4 / 3^4 = (2/3) ^4
Next the x terms
x^11 / x^7
We know that a^b / a^x = a^ ( b-c)
x^ (11-7) = x^4
And finally the y term
y^8/ y^6 = y^( 8-6) = y^2
( (2/3) ^4 x^4 y^2) ^ ( 1/4)
We know that (ab) ^ c = a^ c * b^c
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
We know that a^ b^ c = a^ ( b*c)
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
( 2/3) ^ ( 4*1/4) * x^ ( 4*1/4) * y ^ ( 2 ^ 1/4)
2/3 * x * y ^ 2/4
2/3x y ^ 2/4
2/3 x [tex]\sqrt[4]{y^2}[/tex]
━━━━━━━☆☆━━━━━━━
▹ Answer
See below for attached work.
▹ Step-by-Step Explanation
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Evaluate the expression when y=-6.
y^2+5y-2
Answer:
this glizzy
Step-by-step explanation:
blow this glizzy u madd u wrong answer
Answer:
4
Step-by-step explanation:
Sometimes when evaluating polynomials, it is easier if you write them in Horner form:
(y +5)y -2
For y = -6, this is ...
(-6 +5)(-6) -2 = (-1)(-6) -2 = 6 -2 = 4
The value of your expression is 4.
Match the graph with the correct equation.
Answer:
work shown and pictured
If Ab = 54, find MC.
Answer:
MC = 45
Step-by-step explanation:
Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values
[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6MC = 270 ( divide both sides by 6 )
MC = 45
Find the total surface area.
Answer:
143.4 mi²
Step-by-step explanation:
Top: 8x6=48
Bottom: 3x8=24
Sides: 3x8=24 and 24
Trapezoids sides: (6+3)/2*2.6=4.5*2.6=11.7 and 11.7
TOTAL: 48+24+24+24+11.7+11.7= 143.4 mi²
