Answer:
Step-by-step explanation:
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]
When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression
[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]
Add the numbers: 3 and 8
[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]
Move 11 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]
Subtract 11 from 7
[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]
Divide both sides by -2
[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{a = 2}}[/tex]
Hope I helped!
Best regards! :D
A car moves a distance of 100m in 12 seconds. what is the average speed in km/h
Answer:
30km/h.
Step-by-step explanation:
100m/12s = 0.1km/12s
There are 3600 seconds in an hour.
0.1km/12s = 30km/h.
How many obtuse angles can a triangle have?
Answer:
one
Step-by-step explanation:
Does anyone know where to plot this?
Answer:
(-3,1) becomes (1,-1)
(-4,7) becomes (0,5)
(-6,3) becomes (-2,1)
(-9,8) becomes (-5,6)
Step-by-step explanation:
just move every point 4 to the right and 2 down. once you plot the new points draw and connect
solve 12x + k = c for x and what are the steps?
Answer:
[tex] \huge \orange { \boxed{x = \frac{c - k}{12} }}[/tex]
Step-by-step explanation:
12x + k = c
Step 1: transfer k on right side
12x = c - k
Step 2: Divide both side by 12
[tex] \frac{12x}{12} = \frac{c - k}{12} \\ \huge \red{ \boxed{x = \frac{c - k}{12} }}[/tex]
please help please
(-1)(-1)(-1)=
Answer:
the answer of this is : (-1)
Solve for x: 4 - (x + 2) < -3(x + 4) A. x < -7 B. x > -7 C. x < -9 D. x > -9
Answer:
C is the answer
Step-by-step explanation:
Each expression with the appropiate property:
Помогите пожалуйста!
i don't speak russian bro
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. \
Answer:
Answer: The question is a multiple choice so it's A and C:
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
46% of 125.7 is what?
a. 1.22
b. 57.8
C. 5782.2
d. 273.3
Answer:
B. 57.8
Step-by-step explanation:
Changing 46% to a decimal it would be 0.46
125.7 * 0.46 = ?
125.7 * 0.46 = 57.822
57.822 rounds to 57.8 which is answer B.
Answer:
It's 57.823
Step-by-step explanation:
I looked it up lol
Determine if the expression -5y^5-y^3−5y5−y3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomimal.
Answer:I think it y=73
Step-by-step explanation:
Answer: It is a polynomial, and the degree is 5.
I could be wrong on this but, i'm trying
Step-by-step explanation:
Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial. Also, all exponents have to be positive in a polynomial. Another rule of thumb is if there are any variables in the denominator of a fraction then the algebraic expression isn’t a polynomial.Note that this doesn’t mean that radicals and fractions aren’t allowed in polynomials. They just can’t involve the variables.
The degree is 5 (since the largest exponent is 5)
Examples of Non- Polynomials
Example Polynomial Explanation
5x^-2 +1 Not a polynomial because a term has a negative exponent
3x^½ +2 Not a polynomial because a term has a fraction exponent
(5x +1) ÷ (3x) Not a polynomial because of the division
5.67
is it rational
Answer:
Yes
Step-by-step explanation:
It not a continues number like 1.33333... therefore it is rational. If it went on forever it would be concidered irrational.
Answer:
Yes. 5.67 is a rational no.
Step-by-step explanation:
5.67 is a terminating & non-repeating decimal . And we know that a terminating non-repeating (or repeating i.e. the decimal would have a bar) decimal no. is a rational number.
5.67 can also be written as [tex]\frac{567}{100}[/tex] . A rational is always in the form of [tex]\frac{p}{q}[/tex] form where p & q are integers. Hence 5.67 is a rational number.
100000 inches is equal to how many miles?
Answer:1.5783 Miles
1.5783 Miles
Step-by-step explanation:
Multiply the value in Inch (in) by 0.0000157828 (the conversion factor). So,
100000 Inch (in) × 0.0000157828 = 1.57828 Mile.
Which of the following ordered pairs is not a solution of the system of inequalities? y > x2 – 4x – 5 y < –x2 – 5x + 6 Question 62 options: A) (1, 7) B) (1, –7) C) (1, –5) D) (–1, 6)
Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:
[tex]y > x^{2}-4\cdot x -5[/tex]
[tex]y < -x^{2}-5\cdot x +6[/tex]
We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)
[tex]7 > 1^{2}-4\cdot (1) -5[/tex]
[tex]7 < -1^{2}-5\cdot (1) +6[/tex]
Then,
[tex]7>-8[/tex] (TRUE)
[tex]7<0[/tex] (FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)
[tex]-7 > 1^{2}-4\cdot (1) -5[/tex]
[tex]-7 < -1^{2}-5\cdot (1) +6[/tex]
Then,
[tex]-7 > - 8[/tex] (TRUE)
[tex]-7< 0[/tex] (TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)
[tex]-5 > 1^{2}-4\cdot (1) -5[/tex]
[tex]-5 < -1^{2}-5\cdot (1) +6[/tex]
Then,
[tex]-5 > - 8[/tex] (TRUE)
[tex]-5< 0[/tex] (TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)
[tex]6 > (-1)^{2}-4\cdot (-1) -5[/tex]
[tex]6 <(-1)^{2}-5\cdot (-1)+6[/tex]
Then,
[tex]6>0[/tex] (TRUE)
[tex]6 < 12[/tex] (TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.
Answer:
Its Not (1,7) i took the test and missed it
Step-by-step explanation:
How do we multiply monomial times monomial?
A. Multiply the coefficients, Add the exponents
B. Multiply the coefficients, multiply the exponents
C. Add the coefficients, multiply the exponents
Answer:
A. Multiply the coefficients, Add the exponents
Step-by-step explanation:
To multiply monomials, multiply the coefficients, and add the exponents of the same variable.
Answer: A. Multiply the coefficients, Add the exponents
Answer:
a- multiply the coefficients, add the exponets.
Step-by-step explanation:
i already did it!
solve for x. 7(x+2)=6(x+5)
Answer:
16
Step-by-step explanation:
7x+14=6x+30
Move x into one side and whole numbers to the other.
Solve like linear equation.
7x+14=6x+30
7x-6x=30-14
x=16
Answer:
x = 16
Step-by-step explanation:
7(x+2)=6(x+5) multiply
7x + 14 = 6x + 30 add like terms
7x - 6x = 30 - 14
x = 16
using appropriate properties, find the value of 249² - 248²
Answer:
[tex]\boxed{\bold{\huge{\boxed{497}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf 249^2 - 248^2[/tex]
Using Formula [tex]\sf a^2 - b^2 = (a+b)(a-b)[/tex]
Where
a = 249
b = 248
=> [tex]\sf (249+248)(249-248)[/tex]
=> [tex]\sf (497)(1)[/tex]
=> 497
In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours
Answer:
-15 degrees
Step-by-step explanation:
3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs
Find the value of X in the equation below.
g=xc
Answer:
g/c = x
Step-by-step explanation:
g= xc
/ c
g/c = x
isolate x by dividing out c
If you could see my teacher wrote the answer on the right but he wants me to say how he figure it out
Step-by-step explanation:
since there are five digit after1 so the power is 5 and the is the number 2 which is multiplied to each and after that the number 0is there which makes 4 number left and so on until the power is zero
Simplify. 2 × (3 – 1) + 3
Is the following relation a function ? S = {(1,2),(2,2),(-2,2)} justify your answer
Answer:
YESStep-by-step explanation:
relation is a function if we have y for every x from domain and for one x we have one and only one y
x = 1 --> y = 2
x = 2 --> y = 2
x = -2 --> y = 2
no x-es without y-es
and no two the same x-es with one y
so this relation is a function
hi! when finding a ratio, like teeth to no teeth, (pretend theres 9 faces with teeth and 10 with none), do you put the bigger number in front or follow the question and put the 9 faces with teeth first?
Answer:
it matters what word came first
Step-by-step explanation:
The order of the items in a ratio is very important, and must be respected; whichever word came first in the ratio (when expressed in words), its number must come first in the ratio.
4:3. The order of numbers in a ratio is important. ...
numerator / denominator. A fraction is another way of expressing one number divided by another. ...
24 / 56 = 0.42857.
(x+y+z) (x-y+z)
Thank you
Answer:
x^2 +2xy + 2xz - y^2 + z^2
Step-by-step explanation:
(x+y+z) (x-y+z)
x^2 + xy + xz + xy - y^2 + yz + xz - yz + z^2
x^2 + xy + xy + xz + xz - y^2 + yz - yz + z^2
x^2 +2xy + 2xz - y^2 + z^2
Answer:
x² +2xy + 2xz - y² + z²
Step-by-step explanation:
Simone got 3/4 of a full bar of chocolate. Aly was supposed to get 1/4 of the full chocolate barshe has to get her share from Simone. What fraction of Simone's chocolate should Aly get? Make a math drawing that helps you solve this problem.
Answer:
4/8thes
Step-by-step explanation:
Which conditional statement is true?
If it is a table, it has four legs.
If it is Wednesday, it is a weekday.
If it has printed words, it is a book.
If it is a month, it has thirty-one days.
Answer:
if it is wednesday, it is a weekday.
Step-by-step explanation:
not all tables have 4 legs, not all printed words are in books, not all months have 30 days.
Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make on each items .
Answer:
($) 60 is the profit per item when the selling price is reduced by 20%
Step-by-step explanation: 20% of 700 is 140.
The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)
Its pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm. What's this pitcher plant's approximate volume?
Answer:
The pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].
Step-by-step explanation:
We are given that a pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.
Let the radius of a cylinder = r = 1 cm
and the height of a cylinder = h = 7.8 cm
As we know that the volume of a cylinder is given by;
The volume of a cylinder = [tex]\pi r^{2}h[/tex]
= [tex]3.14 \times 1^{2} \times 7.8[/tex] {taking approximate value of [tex]\pi[/tex] to be 3.14}
= [tex]3.14 \times 7.8[/tex]
= 24.492 [tex]\text{cm}^{3}[/tex]
Hence, this pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].
Given that 6 x − 4 y = 29 Find x when y = 4
Answer:
[tex]x=15/2=7.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]6x-4y=29[/tex]
And we want to find x when y is 4.
So, substitute y for 4:
[tex]6x-4(4)=29[/tex]
Multiply:
[tex]6x-16=29[/tex]
Add 16 to both sides:
[tex]6x=45[/tex]
Divide both sides by 6:
[tex]x=45/6[/tex]
Reduce by dividing both layers by 3:
[tex]x=15/2=7.5[/tex]
And this is our answer :)
Answer:
[tex]7.5 \: or \:7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]6x- 4 y = 29\\x =?\\y =4[/tex]
Substitute 4 for y in the given equation ;
[tex]6x-4(4)=29\\6x -16=29[/tex]
Collect like terms
[tex]6x = 29+16[/tex]
Simplify
[tex]6x = 45[/tex]
Divide both sides of the equation by 6
[tex]\frac{6x}{6} = \frac{45}{6} \\\\x =\frac{15}{2} \:or \: 7.5 \: or \:7\frac{1}{2}[/tex]
Solve the equation,
3(b + 3) - 4(-2+b) = 19
Answer:
b= -2
Step-by-step explanation:
Answer:
b = -2
Step-by-step explanation:
The first thing we need to do to solve this equation is expand the brackets. To so this we need to multiply the outside term with each of the terms inside the bracket (distributive law).
This gives us:
3xb + 3x3 -4x-2 -4xb = 19
Which multiplies out to:
3b + 9 + 8 -4b = 19
Combine like terms:
-b +17 = 19
From here we move the 17 to the other side by subtracting 17 from both sides
-b +17 -17 = 19 - 17
-b = 2
Divide both sides by -1:
-b/-1 = 2/-1
Which gives us:
b = -2
Hope this helped!