Answer:
2
Step-by-step explanation:
first multiply everything by 6 to get rid of the fractions
then we get 5m-4 -6 = 24m -9m -30
simplify the equation 5m-10=15m-30
subtract 5m from both sides and add 30 to both sides 10m=20
divide by 10, m=2
15=a/3-2
please help !!
Here is your answer. Hope this helps you.
Answer:
51
Step-by-step explanation:
15= a/3 -2
17= a/3
51=a
Two numbers have an average of 18, and a difference of 10. Form two equations and solve them to find these
two numbers.
Need awnsers please
Answer:
1_ 129 , 51
2_ b
3_ 40
Step-by-step explanation:
1_ we can represent the bigger angle with x and smaller one with y
and as given, y is smaller than x by 78
so y = x - 78 (1)
as x + y = 180
we put y as we did in (1)
x + x - 78 = 180
so 2x = 258
so x = 129
and y will be 51
2_ from the figure we find the two angles form one angle = 90 degree
3_ from the defenition of complementary angles
m(c) + m(d) = 90
7r + 5 + 8r + 10 = 90
15r + 15 = 90
r = 5
so m(c) will be equal 7*5 + 5 = 40
A sphere with surface area of 154cm² is fit exactly in cubical box, Use π 22/7
what is the volume of the box A.147
B.154
C.216
D.343
Answer:
Answer :-Surface area of sphere = 4 π r²
154 = 4 × 22/7 × r²
154 = 88/7 × r²
154 × 7/88 = r²
12.25 = r²
3.5 = r
Now
Volume of sphere = 4/3 × π r³
Volume = 4/3 × 22/7 × (3.5)³
Volume = 88/21 × 42.875
Volume = 154 cm³
Volume of sphere = Volume of cube
Volume of cube = 154 cm³
Alex had $29 in a bank account. He withdrew $13 for pizza and then $18 for a movie. How much money does Alex have left in his account?
Answer:
-12
Step-by-step explanation:
18 plus 13 is 41 29 subtracted from 41 is -12
Answer:
- $2
Step-by-step explanation:
Alex withdrew money twice, or he subtracted those amounts from the total that he had.
In this case, he withdrew $13 first, and then $18, or:
13 + 18 = 31
$31 dollars in all.
Alex had $29. Subtract the total that he withdrew from the amount he had:
29 - 31 = -2
Alex has - $2, or he owes the bank $2 with interest.
~
Plz answer it's important
Answer:
AB = 4
Step-by-step explanation:
Since the line is horizontal then its length is the difference of the x- coordinates, that is
AB = | 8 - 4 | = 4 , or
AB = | 4 - 8 | = | - 4 | = 4
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient. Each bacterium of species A requires 4 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day?
Answer:
4570 species of the type A and 1540 species of the type B.
Step-by-step explanation:
A:
1st: 4 units
2nd: 5 units
B:
1st: 1 unit
2nd: 6 units
A=x, B=y
4x + 1y = 19820 units of the first nutrient
5x + 6y = 32090 units of the second nutrient
5x + 6*(19820-4x) = 32090.
32090 - 6(19820-4x)
x= ------------------------------------- = 4570
5-24
y = 19820 - 4*4570 = 19820 - 18280 = 1540.
ANSWER: 4570 species of the type A and 1540 species of the type B.
Hopes this solves it.
The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given;
Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient
2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
Now,
Let the number of bacteria of Specie A and Specie B be x and y respectively;
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 4x + y = 19660
Nutrient 2 Constraint Equation : 5x + 6y = 31890
Putting the value of y from 1st equation in 2nd equation;
5x + 6 (19660 - 4x) = 31890
5x + 117960 - 24x = 31890
117960 - 31890 = 19x
19x = 86070
x = 86070 / 19 = 4530 { Bacteria A}
Putting the value of x in 1st equation;
2 (4530) + y = 19660
9060 + y = 19660
y = 19660 - 9060= 10600{Bacteria B}
Therefore, the solution of equations will be 4530 and 10600
To learn more about simultaneous equations :
brainly.com/question/16763389
#SPJ2
log(12), round to the nearest thousandths?
Answer:
1.079.
Step-by-step explanation:
Use ur calculator.
PLEASE HELP YOU WILL GET A BRAINLY AND A LOT OF POINTS
Ying is a professional deep water free diver.
His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by:
D(x)=\dfrac{1}{36}(x-60)^2-100D(x)=
36
1
(x−60)
2
−100D, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 36, end fraction, left parenthesis, x, minus, 60, right parenthesis, squared, minus, 100
What is the lowest altitude Ying will reach?
Answer:
The lowest point is -100 meters, or 100 meters down
Step-by-step explanation:
D(x)=1/36(x-60)^2-100
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
Since a is positive, the parabola opens up
The vertex is the minimum, which means it will be the lowest point
The vertex is (60,-100)
The lowest point is -100 meters, or 100 meters down
Given expression
y=1/36(x-60)²-100Compare to the vertex form
y=a(x-h)²+kWe get
.
a=1/36(h,k)=vertex=(60,-100)As a is positive parabola is opening upwards and vertex is minimum
Lowest altitude is -100m
The length of each side of an equilateral triangle having an area of 9√3 cm² is
Answer:
6 cm
Step-by-step explanation:
Let each side of the equilateral triangle be a.
Given, area of an equilateral triangle = 9√3 cm2
Area of an equilateral triangle = (√3)/4 × (Side)²
=> (√3)/4 × a² = 9√3
[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]
=> a² = 36
[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]
∴ Side = 6 cm [taking positive square root because side is always positive]
the distance between the points (-1,3) and (2,-1) is?
Answer:
It is 5.83 units
Step-by-step explanation:
[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]
x1 is -1
x2 is 2
y1 is 3
y2 is -1
[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]
PLZ HELP QUICKLY!!!!!!!!!!!!
No LINKS PLEASE!!!!!!!!!
Answer:
Uhh i dont rly know sry
Step-by-step explanation:
please help me it’s my last question
One circle is 360°, that means, 180° is half of the circle.
Then, the required rotation may be performed according to this property. For more details see the attached picture.
simplify:
3/2 x 5/3 ÷ (-2+7)
Answer:
-1/2
Step-by-step explanation:
3/2 x 5/3 ÷ (-2+7)
=> 3/2 x 5/3 ÷ (-5)
=> 3/2 x 5/3 x (-1/5)
=> -1/2
Help solve pls fast
it's a maths question
Answer:
Step-by-step explanation:
[tex][(\sqrt[4]{x^{\dfrac{3}{4}}})^{\dfrac{-4}{3}} ]^{4}[/tex]
[tex]= [(x^{\frac{3}{4}*\frac{1}{4}})^{\frac{-4}{3}}]^{4}\\\\\\= [(x^{\frac{3}{16} ) ^{\frac{-4}{3}}}]^{4}\\\\=[ x^{\frac{3}{16}*\frac{-4}{3}}]^{4}\\\\=[x^{\frac{-1}{4}}]^{4}\\\\=x^{\frac{-1}{4}*4}\\\\=x^{-1}\\\\=\dfrac{1}{x}[/tex]
Hint:
[tex](a^{m})^{n}=a^{m*n}[/tex]
Answer:
[tex]1/x[/tex]
Step-by-step explanation:
To simplify, work from the inside out.
We start with
[tex]\sqrt[4]{x^{3/4}}[/tex]
on the inside. And we can change the fourth root into a fractional exponent -- 1/4:
[tex](x^{\frac{3}{4})^{1/4}[/tex]
A power of a power means multiply the exponents, giving
[tex]x^{\frac{3}{4} * \frac{1}{4}} = x^{3/16}[/tex]
So now we have
[tex][(x^{3/16})^{-4/3}]^4[/tex]
From here, apply the "power of a power rule" again, working from the inside out.
[tex](x^{-12/48})^4[/tex]
[tex]x^{-48/48}[/tex]
[tex]x^{-1}[/tex]
or
[tex]1/x[/tex]
hi can you help me ?
Answer:
5,400
Step-by-step explanation:
do the exponent which is 10x10=100 then add it to 5,300
Help help help help help help help help help help help
Pls
Answer:
$7.10
Step-by-step explanation:
Step 1: We make the assumption that 35.5 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=35.5$.
Step 4: In the same vein, $x\%=20$.
Step 5: This gives us a pair of simple equations:
$100\%=35.5(1)$.
$x\%=20(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
Step 7: Taking the inverse (or reciprocal) of both sides yields
Hope this helps <3
s= zh - 2zt^3 solve for z
Hi ;-)
[tex]s=zh-2zt^3\\\\z(h-2t^3)=s \ \ /:(h-2t^3)\\\\z=\dfrac{s}{h-2t^3}[/tex]
Answer:
z = [tex]\frac{s}{h-2t^3}[/tex]
Step-by-step explanation:
Given
s = zh - 2zt³ ← factor out z from each term
s = z(h - 2t³ ) ← divide both sides by h - 2t³
[tex]\frac{s}{h-2t^3}[/tex] = z
what is the answer to 90π + 2π(7.5)2
Answer:
635.75
Step-by-step explanation:
90π + 2π(7.5)²
~Simplify
90π + 2π(56.25)
~Multiply
282.5 + 2(176.625)
~Simplify
282.5 + 353.25
635.75
All this was simplified using PEMDAS.
Best of Luck!
algebra 2 help please????
Answer:
Sqrt(-108)=6i*sqrt(3)
Step-by-step explanation:
-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota
What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.
Answer:
3x²
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1
= 3x + 3x² - 3x ← collect like terms
= 3x²
What is (f + g)(x)? f(x) = -3x² + 6x g(x) = -X Write your answer as a polynomial or a rational in simplest form
Answer:
- 3x² + 5x
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 3x² + 6x - x ← collect like terms
= - 3x² + 5x
another easy question pls answer
Answer:
22.5 degrees and 67.5 degrees
Step-by-step explanation:
complementary angles add up to 90°
x + 3x = 90°
4x = 90
90/4 = x
x = 22.5
The first angle is 22.5
The second angle is 3 times as much
22.5 x 3 = 67.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
-(-5.6g + 2h – 9)
Does anyone know this ?
Answer: 5.6g - 2h + 9
Explanation:
Flip the sign of each term inside the parenthesis.
The -5.6g becomes +5.6g or simply 5.6gThe +2h becomes -2hThe -9 becomes +9These sign flips occur because of the negative out front the parenthesis. It's the same as having -1 outside, and we distribute the -1 through.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2
Find F[G(x)] - F(x).
4x + 4
4x
4x + 2
Step-by-step explanation:
F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3
F[x]=2x-1
F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1
=4x+2
answer=4x+2
Answer: A
Step-by-step explanation:
[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]
Answer this question and turn it in HERE or on paper in the TURN-IN BOX by Friday for +2 Practice points. 0, 1, 1, 2, 3, 5, 8,... What are the next three numbers? Explain!
Answer:
13, 24, and 34
Step-by-step explanation:
0, 1, 1, 2, 3, 5, 8, 13, 24, 34, . . .
0+ 1 = 1
1+ 1 = 2
2+ 1 = 3
3+ 2 = 5
5+ 3 = 8
8+ 5 = 13
13+ 8 = 24
24+ 13 = 34
start at 1, then add the number behind it to move forward one space. repeat process.
Four coins are tossed. What is the probability of at least one tail?
Step-by-step explanation:
I can't understand it so plz don't mind or else I will mind
Answer:
93.75%
This type of problem you have to REVERSE the question...
"at least one tail" is all possibilities EXCEPT "all heads"...
so your answer is 100% - P(4 heads)
P(4 heads) = (1/2)^4 = .0625
1 - .0625 = .9375
Step-by-step explanation:
Which is the graph of the equation y- 1= 5(x-3)?
Answer:
linked below
Step-by-step explanation:
If you use desmos, it show this which is the correct graph :)
Solve - 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) (and could you please explain it to me?? I really don't get it. Thanks!)
Answer:
Step-by-step explanation:
[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]
