Sarah performed the first step correctly.
Given the function that Sarah performed as:
[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]
To simplify the function, the first step Sarah carries out is to divide the numerator by 2:
[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]
This shows that Sarah performed the first step correctly.
Learn more on decimal here: https://brainly.com/question/20123476
Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.
Cars are vehicles means cars=Vehicles
So
[tex]\\ \sf\longmapsto C=V[/tex]
Converse statement:-
Vehicles are cars[tex]\\ \sf\longmapsto V=C[/tex]
what's the answer? and how did you get it??
Answer:
97
Step-by-step explanation:
A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL
I'm having trouble solving this:
Corry collects cube containers. She fills them with water and pours them into a rectangular prism. She was playing with them and discovered something interesting. She had three cube containers. One cube was 1 inch by 1 inch by 1 inch. A second cube was 2 inches by 2 inches by 2 inches and a third cube was 3 inches by 3inches by 3 inches.
She filled all three with water. Then Corry poured all three cubes into a rectangular prism filling it exactly! The rectangular prism has a square base with a side length (1+2+3 = 6) inches and the height is 1 inch.
Corry wonders whether she has found a pattern. Investigate using more cube containers to fill square base prisms with heights of 1 in. Describe any conjectures you discover.
Corry's conjecture is right, and the volume follows a pattern
The volume of a cube of side length l is:
[tex]V = l^3[/tex]
For the first cube of length 1 in, the volume is:
[tex]V = 1^3[/tex]
[tex]V = 1[/tex]
For the second cube of length 2 in, the volume is:
[tex]V = 2^3[/tex]
[tex]V = 8[/tex]
For the third cube of length 1 in, the volume is:
[tex]V = 3^3[/tex]
[tex]V = 27[/tex]
So, the total volume is:
[tex]Total =1 + 8 + 27[/tex]
[tex]Total =36[/tex]
The volume of a rectangular prism of base lengths 6 in and height 1 in is:
[tex]Volume = 6^2 \times 1[/tex]
[tex]Volume = 36[/tex]
Assume, he adds a cube of side length 4 in, the volume is:
[tex]V = 4^3[/tex]
[tex]V = 64[/tex]
The total volume would be:
[tex]V =36 + 64[/tex]
[tex]V =100[/tex]
The base length of the rectangular prism would be:
[tex]Length =1+2+3+4[/tex]
[tex]Length =10[/tex]
The volume of the rectangular prism would be:
[tex]Volume = 10^2 \times 1[/tex]
[tex]Volume = 100[/tex]
So, the pattern is:
Cubes Volumes
1, 2, 3 36
1, 2, 3,4 100
Corry's conjecture is right, and the volume follows a pattern
Read more about conjectures at:
https://brainly.com/question/4125198
Evaluate the expression for the given value of x.
0.6x + 6.2 for x = -1
The solution is
Answer:
5.6
Step-by-step explanation:
if x is -1. multiply -0.6 * -1. Which is -0.6.
Then add -0.6 and 6.2 and the answer you would get is 5.6.
Can someone help me with 45 ?
Answer:
h⁰ = 84⁰
f⁰ = 132⁰
g⁰ = 28⁰
Step-by-step explanation:
As we know that sum of all the angles in a triangle is 180⁰, so,
h⁰ + 48⁰ + 48⁰ = 180⁰
h⁰ = 84⁰
Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.
48⁰ + f⁰ = 180⁰
f⁰ = 132⁰
Again, g⁰ can be founded the same way as h⁰.
20⁰ + 132⁰ + g⁰ = 180⁰
g⁰ = 28⁰
HOPE IT HELPS :)
7 1/3 x 7/11
simplify the answer completely and change to a mixed number
Answer:
Hello There!
Your question says that
[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]
Now lets convert mixed fraction to improper fraction
[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]
Now let's simplify..
[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]
Now simplify 22 and 11 so it will look like
[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]
Now lets convert it to mixed fraction...
[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]
So it is the answer
[tex]4 \: \frac{2}{3} \\ \\ [/tex]
I hope it is helpful to you..Cheers!______The product of the two given fraction is [tex]4\frac{2}{3}[/tex].
The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].
Product of two fractions = Product of their numerators / Product of their denominators.
Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]
= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]
= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]
= [tex]\frac{14}{3}[/tex]
In mixed fraction [tex]4\frac{2}{3}[/tex]
Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
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I need help plz
12
10
8
12.5
Answer:
8
Step-by-step explanation:
how to calculate fractions without a calculator
Answer:
Step-by-step explanation:
all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction
Can someone help me, please? :(((
[tex]\huge \sf༆ Answer ༄[/tex]
According to given figure ~
Area of whole is equal to :
Area of Triangle + Area of rectangleAnd,
Area of Triangle :
[tex] \sf \dfrac{1}{2} ( 7 \times 6)[/tex]Area of Rectangle :
[tex] \sf7 \times 3[/tex]Therefore, the Area of whole figure is ~
[tex] \boxed{ \sf (7 \: • \: 3) + \frac{1}{2}(7 \: • \: 6)}[/tex]So, the Correct choice is ~ A
A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours
The number of bacterial population after 5 hours is; 816
The formula for the exponential growth of the population is;N(t) = N_o(1 + r)^(t)
Where;
N(t) is number of bacteria after t hours
N_o is number of bacteria initially
r is growth rate
t is time
We are given;N_o = 480
r = 11.2% = 0.112
t = 5
Thus;N(5) = 480(1 + 0.112)^(5)
N(5) = 816.14
Approximating to a whole number gives; N(5) = 816 bacteriaRead more about exponential growth at; https://brainly.com/question/15316908
5x+7x=180 a.___
12=80 b.__
x=15 C.___
Answer:
5x + 7x = 180
x = 15
Step-by-step explanation:
5x + 7x = 12x
180/12 = 15
What is the approximate value of t?
Answer:
8.48
Step-by-step explanation:
36 + 36 = 72
t^2 = 72
t = 6[tex]\sqrt{2}[/tex] = 8.48
Answer: 6
Step-by-step explanation:
5.37 + x =12.89 explanation please it’s two step equation
Answer:
7.52
Step-by-step explanation:
5.37 + x = 12.89
In order to solve this equation, we must isolate the variable, x.
1.) To do this, subtract 5.37 on both sides of the equation.
5.37 + x = 12.89
-5.37 -5.37
x = 7.52
Therefore, x = 7.52
Answer:
Answers of given questions are written below :
1) x = 7.522) x = 113) x = 2.5Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]
5.37 + x = 12.89
[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]
[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]
[tex] \implies{\tt{ x = 7.52}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]
Hence, the value of x is 7.52
[tex]\begin{gathered}\end{gathered}[/tex]
42 = 6x - 24
[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]
[tex] \longmapsto{\sf{ 6x = 66}}[/tex]
[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]
[tex] \longmapsto{\sf{x = 11}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]
Hence, the value of x is 11.
[tex]\begin{gathered}\end{gathered}[/tex]
10x + 25 = 50
[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]
[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]
[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]
[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]
Hence, the value of x is 2.5.
[tex]\rule{300}{2.5}[/tex]
SOS l don’t understand please help me
Answer:
that's the answer hope it helps to you
Please help 10 points
NEED HELP ASAP 40 POINTS GEOMETRY QUESTION PLEASE GIVE FULL ANSWER!!!Which of the lines listed below is perpendicular to the line with the equation
Answer:
Step-by-step explanation
Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
Let x represent the time it takes together. Per hour the Equalizer
1/3hr + 1/8hr = 1/x Multiplying each term by 24x so as all denominators = 1
8x + 3x = 24
11x = 24
x = 2.18 hrs, the time it takes them together
What is the equation of the line that passes through the point (-4,-3)(−4,−3) and has a slope of \frac{3}{4}
Answer:
y = 3/4x
Step-by-step explanation:
Given:
x1 = -4
y1 = -3
slope (m) = 3/4
Solution:
y - y1 = m ( x - x1 )
y - (-3) = 3/4 ( x - (-4) )
y + 3 = 3/4 ( x + 4 )
y + 3 = 3/4x + 3
y = 3/4x + 3 - 3
y = 3/4x
Graph x≥2.
If you’re confused about the question pls don’t answer it just ask about it in the comment section
Answer:
The first graph is correct.
Step-by-step explanation:
Note that the equation states x ≥ 2. It includes the "equals" sign, so the graph line should include 2. This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line. The dashed line is correct for x>2, but not for x ≥ 2.
What are the answers to these?
A) -3
B) 5
C) -2
D)-6
i have to write 20 characters so sisiasskklsa
Answer:
a) -3
b)5
c)-2
d)-6
Step-by-step explanation:
4 - 7 =-3
4 is positive and 7 is negative
a positive minus a negative is equal to a negative
3 is negative and 8 is positive, but 8 is bigger than 3, so take the sign of the bigger number which is 8.
c) is the same as question b
same signs rule
a negative + a negative is = to negative
positive and a positive is = to a positive
a negative +/_ a positive = a negative
PLEASE HELP WILL MARK BRAINLIEST
Answer:
S (2, - 15 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Using (x₁, y₁ ) = T (0, 3 ) and (x₂, y₂ ) = S (x, y )
Calculate the midpoint using above and equate to coordinates of (1, - 6 )
[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )
x = 2
[tex]\frac{y+3}{2}[/tex] = - 6 ( multiply both sides by 2 )
y + 3 = - 12 ( subtract 3 from both sides )
y = - 15
S has coordinates (x, y ) = (2, - 15 )
Answer:
Point S is at the ordered pair (2,-15)
Step-by-step explanation:
midpoint formula : midpoint ordered pair (x,y) = ( [tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])
midpoint x = [tex]\frac{x1+x2}{2}[/tex] ; midpoint y = [tex]\frac{y1+y2}{2}[/tex]
midpoint x = 1 x1 = 0 midpoint y = -6 y1=3
Solve each equation for x2 and y2 to get the points for S.
x = [tex]\frac{x1+x2}{2}[/tex]
1 = (0) +x2 / 2
2 = x2
y = [tex]\frac{y1+y2}{2}[/tex]
-6 = 3 + y2 / 2
-12 = 3 + y2
-15 = y2
(2,-15) are the coordinates to point S.
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2
Answer:
15 in the correct answer
10) $48,000 at 16% for 6 years
Answer:
No solution
Step-by-step explanation:
idek
Which graph represents the solution set of the system of inequalities?
{y<2x+2x+y≥−3
Answer: the first graph (A)
Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade
Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.
A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?
Answer:
Y = X times 0.28
Step-by-step explanation:
1. You set it up as a proportionality
12/1 and 3.36/x
The x stands for how much money it takes to get 1 ounce
2. You do the old man line.
12 times x = 3.36 times 1
12x = 3.36
3. Now you divide 3.36 by 12
3.36 divided by 12
.28
4. You insert 0.28 into the problem
12 times 0.28 = 3.36
X = 0.28
So 1 ounce costs $0.28
So Y = X times 0.28
Answer:
Step-by-step explanation:
how much is 75 decreased by 8% ???
Answer:
69
Step-by-step explanation:
The number 75 decreased by 8% means that you are looking for 92% of 75. To find a percent of the number you can multiply a number by the percent in decimal form. So, to find 92% of 75, multiply 75*0.92. This gives you 69. Doing this is the same as finding 8% of 75 and then subtracting.
A triangle has interior measures of 45° and 50°. What is the measure of the third angle?
950
850
90°
50
Answer:
85 degrees
Step-by-step explanation:
the inside of a triangle is always 180 degrees.
180-45-59=85
Can someone help me with this x / 12 = -8
X/12 = -8
Solve for x by multiplying both sides by 12
X = -96
Answer:
X=12*-8-----> X= -96. multiply 12 by -8
In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. this
will the slope of the regression line and the correlation coefficient.
A slightly change, strengthen
B greatly change, weaken
C slightly change, weaken
D greatly change, strengthen
E not change, not change
Answer:
C. is the answerStep-by-step explanation:
CARRY ON LEARNINGAND REMEMBER DO ALWAYS READ AND WRITE
Need help!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\mathfrak{( \frac { 6 x } { y } ) ( \frac { y } { 3 x - 3 } ) } [/tex]
[tex]\mathfrak{ \frac{6xy}{y\left(3x-3\right)} } [/tex]
[tex]\mathfrak{ \frac{6x}{3x-3} } [/tex][tex]\mathfrak{ \frac{6x}{3\left(x-1\right)} } [/tex]
[tex]=\boxed{\mathfrak{\frac{2x}{x-1} } }[/tex]
☆ Option 3 is correct.
[tex]\mathbb{MIREU} [/tex]