The solution of the linear equation is k =0.5.
What is the linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.
Linear equations are the equations of degree 1.
The given linear equation is;
[tex]\rm 6k + 10.5 = 3k + 12[/tex]
The value of k is determined in the following steps given below.
[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]
Hence, the solution of the linear equation is k =0.5.
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Paul wants to buy a bat costing $12 and a glove costing $28.50.
So far, he has saved $31.75 towards the purchase. How much
more does he need? (34)
Answer:
$8.75
Step-by-step explanation:
12 + 28.50 = 40.50
40.50 - 31.75 = 8.75
Answer:
$5.75
Step-by-step explanation:
40.50 - 31.75 = 5.75
Help me please.Thank you.
Find the value of the function with the given value.
f(a)= -2a^4+11a^3+5a^2+42 at a=6
Answer:
6
Step-by-step explanation:
if you plug in and add it all up you get 6
2 tens 3 ones 2 tenths
Change it into a decimal form
What is the answer for the two?
Answer:
when DAE is at 16° and EDC is at 64° then ABC is at 45° and BCD is at 55°.
What is the equation of the line that passes through the point (-2, -2) and is perpendicular to the line y = 2x+5
product of two perpendicular line slopes must equals - 1 ;
As you know the coefficient of x is the slope of the line
Thus if we suppose that line has a slope of m , we have :
m × 2 = - 1
m = - 1 / 2
__________________________________
y = ax + b
y = - 1 / 2 x + b
The line passes through the point ( - 2 , - 2 ) thus :
- 2 = - 1 /2 × ( - 2 ) + b
- 2 = 1 + b
b = - 3
__________________________________
y = - 1/2 x - 3
Which mean the option c is the correct answer.
Answer:
y = -1/2(x) - 4
Step-by-step explanation:
[tex]y=-\frac{1}{2}(x)-4[/tex]
Andre is solving the equation 4(x + 3) = 7. He says,"I can subtract from each side to get
4x = 1 and then divide by 4 to get x = "Kiran says, "I think you made a mistake."
a. How can Kiran know for sure that Andre's
solution is incorrect?
b. Describe Andre's error and explain how to
correct his work.
Answer:
Step-by-step explanation:
Kiran can know for sure that it is incorrect by substituting x with 1/4
Solving for the equation gives 4(1/4 + 3) = 7
distributing gives 1 + 3 = 7
obviously this is incorrect
b)
Andre's error is that he didnt distribute 7
Distributing 7 results in
4x + 12 = 7
then subtracting 12 from both sides
4x = -5
x = -5/4
Answer:
x=-1.25
Step-by-step explanation:
well he was wrong about the 4x = 1.
4(x+3)=7
4x+12=7 1. - 12 on both sides
4x=-5 2. 4 on both sides
x=-1.25
5. Are the two triangles shown below similar? If so, name the value of the scale factor.
A. no, these triangles are not similar
B. yes, these are similar. the scale factor is 0.8.
C. yes, these are similar. the scale factor is 0.4.
D. yes, these are similar. the scale factor is 0.6.
maya drove 693 miles in 11 hours how long would it take her to drive 819 miles
Answer:
13
Step-by-step explanation:
693/11 = 63 miles per hour
819/63 = 13
Please help major importance
Answer:
A history
Step-by-step explanation:
Evaluate each expression
6! =
3! • 2=
31
[tex] \mathcal{SOLUTION: }[/tex]
[tex] \: \bold{ \red{6!}= 6×5×4×3×2×1= \boxed{ \bold{ \blue{720}}}}[/tex]Therefore, the value of 6! is 720.
━┈─────────────────────┈━
[tex] \mathbb{ \color{brown} \: PROBLEM } \: \: \bold{{ \color{brown}{2}}} : [/tex][tex] \mathcal{SOLUTION: }[/tex]
[tex] \bold{3! \cdot 2! }\implies \bold{(3×2×1) \cdot( 2×1 )}[/tex][tex] \: \: \: \: \: \: \: \: \: \: \: \: \implies \: \bold{ 6 \times 2} = \boxed{ \bold{ \blue{12}}}[/tex]Therefore, the value of the given expression is 12.
━┈─────────────────────┈━
EXPLANATION:The mathematical symbol n! is read as "n factorial". The exclamation point "!" is read as factorial. And please remember or take note that 0! is equal to 1, and 1! is also equal to 1.ฅ^•ﻌ•^ฅ
_______________∞_______________
Find the unknown side length, x. Write your answer in simplest radical form.
A. 4132
B. 22
C. 16/5
D. 16 V13
Answer:
C
Step-by-step explanation:
Use the pythagorean theorem.
32^2+b^2=48^2
1024+b^2=2304
Subtract 1024
b^2=1280
Square root
b=sqrt(1280)
Now simplify sqrt(1280)
sqrt(1280) = sqrt(256*5)
You can take the square root of 256 since it is a perfect square so take it out of the radical.
sqrt(256*5)=16sqrt(5)
So the answer is c, 16[tex]\sqrt{5}[/tex]
Answer:
C. 16/5
Step-by-step explanation:
pythagorean theorem
a^2 + b^2 = c^2
divide 48 and 32 by 16
a= 2 c= 3
4 + b^2 = 9
b^2 = 5
b = √5
then multiply 16 with √5
which =
16√5
4 less than four times a number is equal to three times the same number plus 1
Answer:
5Step-by-step explanation:
let x be the number we are looking for
Mathematically the statement “4 less than four times a number”
means 4x - 4
Mathematically the statement “three times the same number plus 1”
means 3x + 1
Statement 1 is equal to statement 2
means 4x - 4 = 3x + 1
We got an equation and we need to solve it :
4x - 4 = 3x + 1
⇔ 4x - 3x = 1 + 4
⇔ x = 5
determine the solution to the system of equations g(x)=3x+2, f(x)=x-4+2
The solution to the given system of equations is the point (1, 5).
How to solve the system of equations?
Here we have the system of equations:
g(x) = 3x + 2
f(x) = |x - 4| + 2
To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)
But we can also solve it analytically. To do it, we have:
g(x) = f(x)
3x + 2 = |x - 4| + 2
3x = |x - 4|
Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.
To get the y-value, we just evaluate one of the two given functions on x = 1.
f(1) = |1 - 4| + 2= 3 + 2 = 5
Then the solution to the system is the point (1, 5).
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What is a golden rectangle and give an example of a real-life situation that uses a golden rectangle?
A rectangle with proportions close to the Golden Ratio of approximately 1:1.618 is believed to be aesthetically pleasing.
What is the golden rectangle?A rectangle with sides that are in the golden ratio, or roughly 1:1.618, is referred to as a golden rectangle. This ratio has been employed in art, architecture, and design for ages since it is seen to be aesthetically beautiful.
To build a golden rectangle, start with a square and then add a smaller square to one of its sides to form a rectangle. The smaller rectangle is then used to repeat this procedure until you obtain a rectangle whose sides are in the golden ratio.
The layout of credit cards is one instance of a situation in real life that makes use of a golden rectangle. Golden rectangles are a popular shape for credit cards because of their attractive proportions and visual balance. A golden rectangle may also be used in credit card designs to help the card stand out from other cards and be simpler to recognize. The dimensions of several paintings, sculptures, and structures are more instances of how golden rectangles are used in the design.
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Can someone help me with this problem? Thanks
Answer:
8(5+8)
Step-by-step explanation:
The GCF of 40 and 64 is 8. Then you divide 40 and 64 by 8.
At the end of a football game, the players were given the choice of having a bottle of water or a bottle of juice
There were 16 total players at the baseball game of which 12 of the players chose a bottle of water.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let p represent the total number of players, 2 of the players chose a bottle of water which accounted for 3/4 of the total players, hence:
(3/4)p = 12
p = 16
There were 16 total players at the baseball game.
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6) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y=-2x-2
B: y=-2x+2
Step-by-step explanation:
Which equation is quadratic in form? 3x^5+8x^3+6=0
Answer:
exponential equation
thia is the form of quadratic equation
What is the ratio of 2 miles driven and $6. 00 cab fare
Answer:
2 to 6, 2/6, or 2:6
Step-by-step explanation:
a ratio is a comparison of two values expressed as a quotient
Select the correct answer. Which expression is equivalent to
[tex] \sqrt[3]{200 {k}^{15} } [/tex]
Answer:
B
Step-by-step explanation:
Exponent: 15/3 = 5
Coefficient: [tex]\sqrt[3]{200} =2\sqrt[3]{25}[/tex]
Hope this helps!
Find the area! (no explanation neededd)
Area of top rectangle
9×545mi²Area of horizontal rectangle (Left):-
9(9+5)14(9)126mi²Area of right rectangle:-
4×624mi²Area of triangle:-
1/2(4)(4)8mi²Total:-
8+45+126+24203mi²In 1997, the cost for a gallon of
gas was $0.93. In 2022, the cost of
gas is $3.35. Find the percent of
change in the cost of gasoline
from 1997 to 2022.
Answer:
72% aprox
Step-by-step explanation:
3.35-0.93=2.42
2.42/3.35 times 100 = 72% aprox
make me brainliest
A small plot of land is shaped like the figure shown.
What is the area of the plot of land?
А)
(A
43 yd?
(В) 153 yd?
© 306 yd?
D 1,188 yd?
B) 153 yd²
hope this helps :)
solve for w and y
w=
y=
Answer:
[tex]w = 10 \sqrt{2} [/tex]
[tex]y = 20[/tex]
Step-by-step explanation:
Use the Sine Rule to solve for the unknown sides.
There is a pair of parallel sides in the following shape.
What is the area of the shape?
Answer:
The given shape is Trapezium
Area of Trapezium= 1/2h(L1+L2)
=1/2×7×(11+3
=1/2×7×14
=49
Your answer is 49
Answers with steps please
Answer:
Step-by-step explanation:
Hypotenuse: This the longest side of right angle triangle and it is opposite to 90°
[tex]1) Sin \ P = \dfrac{Oppossite \ side \ of \ \angle P}{hypotenuse}\\\\ =\dfrac{4\sqrt{10}}{14}[/tex]
[tex]Cos \ P =\dfrac{adjacent \ side \ of \angle P}{hypotenuse}\\=\dfrac{6}{14}[/tex]
[tex]7)\sf Cos \ X = \dfrac{adjacent \ side \ of \angle X}{hypotenuse}\\\\Cos \ X =\dfrac{8}{18}\\\\Cos \ X = 0.4\\\\X = Cos^{-1} \ 0.4[/tex]
X = 66°
8) Here, opposite side is given and we have to find hypotenuse. So, use Sin.
[tex]Sin \ 65 =\dfrac{10}{x}\\\\0.9 *x = 10\\\\x =\dfrac{10}{0.9}[/tex]
x = 11.1
10) Here, opposite side is given and we have to find hypotenuse. So, use Sin to find x
[tex]Sin \ X =\dfrac{6}{9}\\\\Sin \ X = 0.67\\\\x= Sin^{-1} \ 0.97[/tex]
x = 42°
Create an equation that models the number of tiles in a given stage.
The number of tiles (y) at any x stage is given by the equation y = 2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the table, the number of tiles increases by 2 for every additional stage. Let y represent the number of tiles and x represent the stage, hence:
y = 1 + (x - 1)2
y = 2x - 1
The number of tiles (y) at any x stage is given by the equation y = 2x - 1
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In 2018 there were 238 Republicans and 201 Democrats in the House of Representatives. Find the percentage of Democrats in the House of Representatives in 2018
Answer:
45.7% or if rounded, 46%
Step-by-step explanation:
1st, you add up the total of people in the House of Representatives.
238+201=439
Then divide the number of Democrats 201 by the total number 439 to get .457 which is 45.7% or if you need to round 46%
To double check, multiply the total number 439 X 45.7% to get 200.6
h(n) = -n + 3
g(n) = 2n + 3
Find h (-7).g(-7)
Answer: -110
Step-by-step explanation:
How do I do GCF (greatest common factor on -5y - 35? I need help because I am not good at it.
Answer:
-5(y+7)
Step-by-step explanation:
Well, the numbers you can divide 5 with are 1 and 5.
35 divides both with 1 and 5 too, but since 5 is the greatest, you choose 5.
so,
you divide both with -5, since both are negative.
-5y/-5 = y
-35/-5 = 7
so,
-5(y+7)
check:
-5*y = -5y
-5*7 = -35
so,
-5y-35, that's true.
Answer:
GCF = 5
Step-by-step explanation:
for the values 5, 35
Solution by Factorization:
The factors of 5 are: 1, 5
The factors of 35 are: 1, 5, 7, 35
Then the greatest common factor is 5.