[tex]e−mc {}^{2} [/tex]
Use the commutative property to reorder the terms[tex]e - {c}^{2} m[/tex]
Q3).
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Step-by-step explanation:
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given pair of linear equations are
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]
can be rewritten as on multiply by 10,
[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]
From equation (2)[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]
[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]
On substituting the value of y in equation (1), we get
[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]
[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]
[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]
[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]
[tex]\rm :\longmapsto\:29x = 58[/tex]
[tex]\bf\implies \:x = 2 - - - - (4)[/tex]
On substituting x = 2 in equation (3), we get
[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]
[tex]\bf\implies \:y = 3[/tex]
So, we get
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]
VerificationFrom equation (1),
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]
On substituting the value of x and y, we get
[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]
[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]
[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]
Hence, Verified▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Basic Concept :-To solve systems using Method of Substitution, follow this procedure:
1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.
3. Solve the equation to get the value of this variable
4. Substitute the value found in to first equation involving both variables and solve for the other variable.
3/2(4x – 1) – 3x = 5/4 – (x + 2)
WILL MARK BRAINLIEST
Translate into expression
What is the product of six and a number added to three
Answer:
[tex]6x[/tex] + [tex]3[/tex]
What would you do to both sides of the equation to solve for x?
10x=5
Help!!! I'll give brainly to whoever does it correctly and first
Answer:-7x but don’t look at me if it’s wrong cuz I finally did not search this up so
Step-by-step explanation:
Find the values of x and y.
Answer:
X = 62.5 Degrees, Y = 60 Degrees.
Step-by-step explanation:
There is always 180 degrees in angles.
[ X ]
180 - 65 = 115
115 - 55 = 60
[ Y ]
180 - 55 = 125
125 / 2 = 62.5
anthony runs a bicycle courier company that charges $3 for delivery plus $0.50 per mile. Which equation matches this relationship
Answer:
c = .5m + 3
Step-by-step explanation:
9/20 - 7/15=
help guys plsss need na now .,.
Answer:
-1/60
Step-by-step explanation:
9/20-7/15=27/60-28/60
=-1/60
Answer:
-1/60
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(9/20, 7/15) = 60
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(9/20×33)−(7/15×44)
Complete the multiplication and the equation becomes
27/60−28/60
The two fractions now have like denominators so you can subtract the numerators.
Then:
27−28/60=−1/60
This fraction cannot be reduced.
Therefore:
9/20−7/15=−1/60
can someone do this for me please
Answer:
Step-by-step explanation:
2(2+3) =9+1
let me know if you get it right
PLEASE HELP, ITS URGENT!!
A sum of money is shared amongst three friends, Shai, Toni, and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive?
Answer:
Shai received $192 while Mara received $288.
Step-by-step explanation:
Let u be 1 unit.
5u=$160
u=$160÷5
=$32
6u=$32×6
=$192
9u=$32×9
=$288
could a triangle have angle measures of 112° 57° and 11°? explain hw u know
The additional of a triangle's degree measure will always equal 180˚
When the question asks you if a triangle with 112˚, 57˚, and 11˚, you have to add them up and make sure they equal to 180˚
In this case, 112˚ + 57˚ + 11˚ DO add up to 180˚, and is indeed a triangle.
PLZZ HELLPP! WILL MARK BRAINLIEST!! if 12 cats can catch 6 rats in 2 hours, how many hours would it take 50 cats to catch 75 rats?
What is the value of the 3 in this number?
5,400,387,214
is the value of this number.
Answer:
The value of 3 is in the three-hundred thousands place
300,000
Find the value of x.
Can someone help me plz!
Answer:
add all the ones on the out side of that area dont do the ones on the inside show me whene done plz
At a farm the ratio of cows to horses was 9 : 8 .If there were 45 cows at the farm,how many horses were there?
Answer:
40
Step-by-step explanation:
there are 9 cow for ever 8 horses
45 is 5 sets of 9 (45/5 = 9)
so to make this ratio equal you have to multiply the amount of horses by 5 too
8*5=40
40 horses
Please help me asap with explanation please
Answer:
[tex] \sqrt{5 \times 5 \times 2 \times {x}^{2} \times {y}^{2} \times y} = \\ 5xy \sqrt{2 \times y} [/tex]
PLEAS EHELP ME I AM BEGGING YOU!!!!!!! EXTRA POINTS AND BRAINLIEST
1. v= 0.013m/s
t = 60 seconds
d = v×t
= 0.013×60
= *0.78 m*
2. v= 17.6 m/s
d= 100m
t = d/t
= 100/17.6
= *5.68 s*
Examples: Which type of triangle is graphed? Classify by Side and Angle. Then find the perimeter of each
(round to the nearest tenth if necessary)
Meg will have
1 serving of frozen yogurt for dessert. One serving of frozen yogurt is
3/4 cup. Meg only has a 1/8 cup scoop. How many scoops should Meg use to get 1 serving?
I NEED HELP FAST PLEASE!!!!!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answer:
the answer of this question is 4000
Step-by-step explanation:
it's because if u add it up you will get the answer hope this helps
3+x=2–3x how many solutions and the answer thank you
Answer:
[tex]1[/tex] solution
Step-by-step explanation:
Let's try to solve this and see where we get.
We can add 3x to both sides of the equation to get [tex]3+4x=2[/tex].
We can then subtract 3 from both sides of the equation to get [tex]4x=-1[/tex].
We lastly divide both sides of the equation by 4 to get [tex]x=-1/4[/tex].
Because all of our steps are reversible(for instance, when we divide by 4, we can multiply(the "reverse" of division) by 4, so dividing by 4 is reversible), there is only [tex]\boxed{1}[/tex] solution, [tex]x=-1/4[/tex].
find the measures of the angles labeled in the figure on the right
Answer:
Step-by-step explanation:
EFD = 90* (straight line = 180, and other angle is 90)
EHF = 180-52 = 128* (again straight line)
HFG = 90-32 = 58* (its a right angle (can tell by the square angle) = 90*)
G = 180 - 52 - 58 = 70* (angles in triangle = 180)
E = 180 - 32 - 128 = 20* (angles in triangle = 180)
Order the number \pi ,3, and \sqrt(11 )from least to greatest
Firstly, let's write these out to help us see:
[tex]\pi[/tex] = 3.1415
3
[tex]\sqrt{11}[/tex] = 3.3166
We can see that [tex]\sqrt{11}[/tex] is 0.3166 greater than 3, and 0.1751 greater than pi. Therefore, it's the biggest number.
Pi is second biggest because it is less than [tex]\sqrt{11}[/tex] but greater than 3.
Therefore, your order would be:
3, [tex]\pi[/tex], [tex]\sqrt{11}[/tex]
Hope this helps! :)
Write the word sentence as an inequality
6 times a number x is at most 47
Writing as a word sentence, the inequality is:
[tex]6x \leq 47[/tex]
6 times a number x is 6 multiplied by x, that is: [tex]6x[/tex].At most 47 means that it is less than, or equals, to 47, hence:[tex]6x \leq 47[/tex]
Hence, the desired inequality, from the given word sentence, is:
[tex]6x \leq 47[/tex]
A similar problem, in which a word sentence is written as an inequality, is given at https://brainly.com/question/11713066
if i make 50 dollars a month and need 600 dollars how many months will it take to get 600 dollars
Answer:
It will take 12 months to get $600 dollars.
Step-by-step explanation:
All you have to do is 600/50 and 600/50 is 12.
Hope I Helped!
solve for r to find the missing term in geometric sequence.
—
hi can someone please answer my question, thank you ❤️
Answer:
20 18. on the answer is 18 and 20 give me the brainlyest
Answer:
8, 16, 32, 64, 128,...Step-by-step explanation:
We observe the terms increase twice, therefore r = 2.
The missing terms are:
32/2 = 1616/2 = 8Part 1 - Application
Give a convincing argument with logical explanations that the contrapositive of a conditional is the
same as the converse of the inverse of the conditional
Answer:
see explanation. (I did this exact assignment this morning, and this is very similar to what I submitted)
Step-by-step explanation:
The contrapositive of a conditional is the same as the converse of the inverse of the conditional.
The best way to prove/support this statement is to create an example. You should start by creating a conditional; you can then form the conditional's converse, inverse, and contrapositive. Here is an example:
Conditional: If C, then D. (starting statement)
Converse: If D, then C. (conditional reversed)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Based on the information from the example you gave, you can conclude:
The converse of the inverse: If not D, then not C. (reversed opposite of the conditional)
Because: The converse is the conditional reversed (If D, then C). The inverse of the converse, in this case, would then make it the opposite (If not D, then not C).
I have not yet received a grade on this assignment, but I know the information is correct; the amount of explanation you need to give really depends on how your teacher grades. Personally, I just submitted an example (similar to the one above) that was color-coded to help show the different parts of each statement.
I hope this helps! :)
Find the slope of the line graphed below!!
Answer:
The slope is 3/2
Step-by-step explanation:
Rise = 3
Run = 2
Rise/Run = 3/2
The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation.
Answer:
by [tex]\bf 7.96 *10^6[/tex] , the mass of the golden gate is larger than the Eiffel Tower
Step-by-step explanation:
[tex]\large \boldsymbol {} \sf 8,05\cdot 10^8-9,16\cdot 10^6 = 805\cdot 10^6-9,16\cdot 10^6 = \\\\ 10^6(805-9,16)=10^6\cdot 795,86 \\\\ Standart \ form \ 10^6\cdot 795,86 \approx 10^8\cdot 7,96 \ kg[/tex]
Answer:
7.96 × 10⁸ kg moreStep-by-step explanation:
Subtract the mass Eiffel Tower from the mass Golden Gate Bridge:
8.05 × 10⁸ - 9.16 × 10⁶ = (805 - 9.16) × 10⁶ = 795.84 × 10⁶ =7.96 × 10⁸ kg