Hi Student!
Usually the first step that I take for any problem would be to gather any important information that would be needed in the problem. However, for this problem, it is pretty straight forward because we just need to solve for the unknown which is x.
Add 3 to both sides
[tex]8x - 3 = 7[/tex][tex]8x - 3 + 3 = 7 + 3[/tex][tex]8x = 10[/tex]Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{10}{8}[/tex][tex]x = \frac{10}{8}[/tex][tex]x = 1.25[/tex]For the first equation, we were able to solve for x and get that the solution for the unknown is 1.25
Subtract 5 from both sides
[tex]5+7x=24[/tex][tex]5 - 5+7x=24- 5[/tex][tex]7x=19[/tex]Divide both sides by 7
[tex]\frac{7x}{7}=\frac{19}{7}[/tex][tex]x=\frac{19}{7}[/tex]For the second equation, we are able to solve for x and get that the solution for the unknown is 19/7
Subtract 6 from both sides
[tex]5=6+4x[/tex][tex]5-6=6-6+4x[/tex][tex]-1=4x[/tex]Divide both sides by 4
[tex]\frac{-1}{4}=\frac{4x}{4}[/tex][tex]\frac{-1}{4}=x[/tex][tex]-0.25=x[/tex]For the final equation, we are able to solve for x and get that the solution for the unknown is -0.25
Answer:
1) [tex]x=\frac{5}{4}=1\frac{1}{4}[/tex]
2) [tex]x=\frac{19}{7}=2\frac{5}{7}[/tex]
3) [tex]x=-\frac{1}{4}[/tex]
Step-by-step explanation:
1) 8x - 3 = 7
1. Group all constants on the right side of the equation
[tex]8x-3=7[/tex]
Add 3 to both sides:
[tex]8x-3+3=7+3[/tex]
Simplify the arithmetic:
[tex]8x=7+3[/tex]
Simplify the arithmetic:
[tex]8x=10[/tex]
2. Isolate the x
[tex]8x=10[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{10}{8}[/tex]
Simplify the fraction:
[tex]x=\frac{10}{8}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x=\frac{5\cdot 2}{4\cdot 2}[/tex]
Factor out and cancel the greatest common factor:
[tex]x=\frac{5}{4}[/tex]
2) 5 + 7x = 24
1. Group all constants on the right side of the equation.
[tex]5+7x=24[/tex]
Subtract 5 from both sides:
[tex]5+7x-5=24-5[/tex]
Group like terms:
[tex]7x+5-5=24-5[/tex]
Simplify the arithmetic:
[tex]7x=24-5[/tex]
Simplify the arithmetic:
[tex]7x=19[/tex]
2. Isolate the x
[tex]7x=19[/tex]
Divide both sides by 7:
[tex]\frac{7x}{7}=\frac{19}{7}[/tex]
Simplify the fraction:
[tex]x=\frac{19}{7}[/tex]
3) 5 = 6 + 4x
1. Swap sides
[tex]5=6+4x[/tex]
Swap sides:
[tex]6+4x=5[/tex]
2. Group all constants on the right side of the equation
[tex]6+4x=5[/tex]
Subtract 6 from both sides:
[tex]6+4x-6=5-6[/tex]
Group like terms:
[tex]4x+6-6=5-6[/tex]
Simplify the arithmetic:
[tex]4x=5-6[/tex]
Simplify the arithmetic:
[tex]4x=-1[/tex]
3. Isolate the x
[tex]4x=-1[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{-1}{4}[/tex]
Simplify the fraction:
[tex]x=\frac{-1}{4}[/tex]
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Why learn this:
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
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Terms and topics
Linear equations with one unknownThe most common use of linear equations is to solve problems involving an unknown variable, generally (but not always) x, and a known constant.
Solving linear equations requires isolating the unknown variable on one side of the equation and simplifying the remainder. Anything done to one side of the equation must also be done to the other when simplifying.
An equation of:
[tex]ax+b=0[/tex]
A typical linear equation with one unknown is in which a and b are constants and x is the unknown variable. In this case, we would isolate x by removing b from both sides of the equation before solving for it. We'd then multiply both sides of the equation by a, yielding the following result:
[tex]x = -\frac{b}{a}[/tex]
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Learn More About Linear Equations With One Unknown
https://brainly.com/question/14323743https://brainly.com/question/13738662https://brainly.ph/question/11134622input 19
function x-5
what output
Answer:
14
Step-by-step explanation:
"input 19" means use 19 in place of x.
"function x - 5" means use this rule to change the input number...take the number and subtract 5.
"Output" means , what do you end up with?
x - 5
19 - 5
14
Answer answer please answer
is equal to
=
hope it helps...!!!
Answer:
Your answer would be C, =
Step-by-step explanation:
I got the answer wrong so go off of the other persons.
What divided by 8 to equal 3
Answer:
Nothing
Step-by-step explanation:
You can't divide 8 to equal 3 because 3 is an odd number and 8 is an even number.
:)
You roll two fair number cubes what is the probability that the sim of your rolls is 5 or higher
The probability that the sum of your rolls is 5 or higher is 13/18
How to determine the probability?In a roll of two fair die, we have the following parameters:
Sample size, n = 36Sum of 5 or higher = 26So, the probability is:
P = 26/36
Simplify
P = 13/18
Hence, the probability that the sum of your rolls is 5 or higher is 13/18
Read more about probability at:
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Consider the division of 8y2 – 12y + 4 by 4y.
What are the values of a and b?
a = 2y and b = 3
a = and b = –3y
a = 2y and b = –3
a = and b = 3y
Notice that the dividend [tex]8y^2-12y+4[/tex] has tree terms with [tex]a=8y^2[/tex], [tex]b=-12y[/tex], c [tex]c=4[/tex]
Now, to divided our dividend [tex]8y^2-12y+4[/tex] by the monomial (single term) [tex]4y[/tex], the easiest thing to do is divide each term of the dividend by the monomial:
[tex]8y^2-12y+4[/tex] ÷ [tex]4y[/tex] = [tex]\frac{8y^2-12y+4}{4y}=\frac{8y^2}{4y}-\frac{12y}{4y}+\frac{4}{4y}=2y-3+\frac{1}{y}[/tex]
After performing the division we get that now [tex]a=2y[/tex] and [tex]b=-3[/tex]
We can conclude that the correct answer is a = 2y and b = –3
a toll box has 10 screwdrivers and 6 wrenches Bella puts 8 more wrenches in the toolbox how many more wrenches are in the toolbox
Answer: There are 4 more wrenches in the toolbox than the screwdrivers.
Step-by-step explanation: Add the 6 wrenches Sid put in the toolbox with the 8 wrenches Bella added to get 14 wrenches in total. Then, subtract the 10 screwdrivers from the 14 wrenches to get 4 wrenches.
What is the area, in square centimeters, of the shape below?
Answer:
8.5 sq cm
Step-by-step explanation:
5x3.4=17÷2=8.5
what does the dats suggest
Answer:
the bigger the handspan the more jolly ranchers they can pick up with one hand
Step-by-step explanation:
Which equation is true? 9x2 – 25 = (3x – 5)(3x – 5) 9x2 – 25 = (3x – 5)(3x 5) 9x2 – 25 = –(3x 5)(3x 5) 9x2 – 25 = –(3x 5)(3x – 5).
Answer:
9x² - 25 = (3x - 5)(3x + 5)
Step-by-step explanation:
(a + b)(a - b) = a² - ab + ab - b² = a² - b²
a² - b² = (a + b)(a - b)
Please help me on this!
Answer:
B. f(x) = 176x + 10,580
Step-by-step explanation:
The y-intercept is about 10,580.
The slope is about 176
You can get the slope by subtracting 10925-10600 and then dividing the answer by 2
Someone please help me with this!!! (20 points)
Answer:
Step-by-step explanation:
7[tex]a^{2}[/tex] - 2a + 6 - ( -5[tex]a^{2}[/tex] + 3 )
7[tex]a^{2}[/tex] - 2a + 6 + 5[tex]a^{2}[/tex] - 3
12[tex]a^{2}[/tex] -2a +3
Answer:
[tex]\bf 5a^2+5a+3[/tex]
Step-by-step explanation:
[tex]\sf \left(7a-2a+6\right)-\left(-5a^2+3\right)[/tex]
[tex]\sf 7a-2a+6-\left(-5a^2+3\right)[/tex]
Combine like terms:-
[tex]\sf 5a+6-\left(-5a^2+3\right)[/tex]
Apply Distributive property:-
[tex]\sf 5a+6+5a^2-3[/tex]
Comnine like terms:-
[tex]\sf 5a^2+5a+6-3[/tex]
[tex]\sf 5a^2+5a+3[/tex]
helpppppppppppppppp 88 points
Answer:
20 in²
Step-by-step explanation:
Divide the shape into two rectangles (see attached image)
Area of a rectangle = width × length
Area of rectangle 1
⇒ area = 2 × 3
= 6 in²
Area of rectangle 2
⇒ area = (5 - 3) × 7
= 2 × 7
= 14 in²
Total area
Total area = area of rectangle 1 + area of rectangle 2
= 6 + 14
= 20 in²
Area of vertical rectangle:-
LB5(2)10in²Area of horizontal rectangle
LB5(5-3)5(2)10in²Total:-
10+1020in²Sixty-four students buy their lunch at school. This is 16% of the total students.
How
many students are in the school?
Answer:
400 students
Step-by-step explanation:
64 - 16%
? - 100%
(100*64)/16
= 400
A(x)=x(50-x)
When is A(x) at its maximum?
Answer:
When X = 25
Step-by-step explanation:
Use derivative = 0 to locate the turning point
50 - 2X = 0 => X = 25
3(5m + 2) - 20m - 14 + 5
Answer:
-5m-3
Step-by-step explanation:
step 1 Collect like terms.
3(5m+2)-20m+(-14+5)
step 2 Simplify.
3(5m+2)-20m-9
step 3 Expand by distributing terms.
15m+6-20m-9
step 4 Collect like terms.
(15m-20m)+(6-9)
step 5 Simplify.
-5m-3
Answer:-5m - 3
Step-by-step explanation:
1) Distribute
3(5m + 2) - 20m - 14 + 5
15m+6 - 20m - 14+5
2) Add the numbers
15m+6 - 20m- 14+5
15m-3 - 20m
3) Combine like terms
15m - 3-20m
Answer
-5m - 3
Hope this helps
What is the width of a rectangle with a length of
5/6 feet and an area of 2 square feet?
Answer:
2.4 feet
Step-by-step explanation:
[tex] \frac{5}{6} w = 2[/tex]
[tex]w = 2 \times \frac{6}{5} = \frac{12}{5} = 2.4[/tex]
Rewrite the radical expression as an expression with a rational exponent.
4x5
О
x20
х
It don’t like these problems
Answer:
The first option.
Step-by-step explanation:
Use the base law of exponents, which states that (x^m)^n equals x^(m * n).
7) At a baseball game Jim buys 5 hotdogs and 2 drinks for $17. Andy buys 3 hotdogs and 1
drink for $9.50. What is the price of a hotdog?
a. $1.50
b. $2
c. $2.50
d. $3
Answer: b. $2.00
Step-by-step explanation:
COULD YOU GUYS HELP ME WITH THIS I NEED IT UNTIL TOMMORROW.
Answer:
2) option (d)
3) option (c)
4) option (b)
5) option (b)
6) option (a)
anyone knows the answer?!
Answer: 1.3
Step-by-step explanation:
y = 4.x - 5
Y = 2x + 3
Is (4, 11) a solution of the system?
can someone help me with this question? Thank you!
Answer:
See the attachment!
The height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation h = 3 sine (startfraction 4 pi over 5 endfraction (t minus one-half)) 12. what is the minimum height of the flag? 3 feet 9 feet 12 feet 15 feet
Answer:
9 feet
Step-by-step explanation:
Answer: B, 9 feet
Step-by-step explanation: edge :)
How do I find the period, amplitude, midline, and vertical shift. I'm very confused.
Answer:
in the following diagram DE=6m,EG=10m,FG=8
calculate the length of the following
DG
Find the measure of each angle in the problem. MG contains point T.
A. 100 and 80
B. 95 and 85
C. 50 and 40
D. 60 and 120
Answer:
A
Step-by-step explanation:
the angles are adjacent angles on a straight line and sum to 180°, so
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
then
∠ MTQ = 5x = 5 × 20 = 100°
∠ GTQ = 4x = 4 × 20 = 80°
You invest $500 into an account that collects 1% interest each month. If you add an additional $50 each week, what will the balance of the account be after 5 months?
Answer:
$1555.91
Step-by-step explanation:
First Month:
You start out with $500.
You add $200 in the first month, and have 700.
Multiply 700 by 1.01, to add the interest and you get 707.
Second Month:
707 + 200 = 907
907 x 1.01 = 916.07
Third Month:
916.07 + 200 = 1116.07
1116.07 x 1.01 = 1127.2307
Fourth Month:
1127.2307 + 200 = 1327.2307
1327.2307 x 1.01 = 1340.503007 (round to .50)
Fifth Month:
1340.50 + 200 = 1540.50
1540.50 x 1.01 = 1555.905
Round to 1555.905 1555.91, and there's your answer. Hope this helps!
Gio has a balance of $3,230 on his credit card that has a Apr of 22%. He pays the current of $105.. if gio wants to pay off his balance in 24 months, determine the monthly payment.
The minimum payment is enough to pay off the balance in 24 months.
B. Gio can eliminate $62.57 from Entertainment/Shopping
C. Gio can eliminate $167.57 from Entertainment/Shopping
D. Gio can eliminate $105 from Entertainment/Shopping
In order to achieve his goal of paying the credit debt off in 24 months, B. Gio can eliminate $62.57 from Entertainment/Shopping.
What amount will Gio pay to eliminate the debt in 24 months?If Gio is paying $105, the number of months that he will be able to pay back the debt in, can be found using credit card debt calculators to be 3 years and 10 months.
In order to pay back his credit card debt in 24 months, the minimum amount he needs to pay is:
= $167.57 per month
Considering that he is currently paying $105, the amount extra that he needs to pay is:
= 167.57 - 105
= $62.57
This can be acquired from Entertainment/ Shopping.
In conclusion, option B is correct.
Find out more on credit card repayment at https://brainly.com/question/1891029.
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Solve the following system:
3x + 2y = 7
-4.5x - 3y = -10.5
Answer:
infinitely many solutions
Step-by-step explanation:
The system of equations :
3x + 2y = 7-4.5x - 3y = -10.5Multiplying Equation 1 times 3 and Equation 2 times 2 :
9x + 6y = 21-9x - 6y = -21Putting the equations in standard form after simplifying :
6y = -9x + 21 ⇒ y = -1.5x + 3.5-6y = 9x - 21 ⇒ y = -1.5x + 3.5As both equations are the same, the system will have infinitely many solutions.
What is the value of σ(x – 1)2 for the scores 1, 2, 1, 4?
The value of (x-1)^2 at scores 1,2,1, and 4 are 0,1,0,8 respectively.
What is quadratic equation?Quadratic equations are the polynomial equations of degree 2 in one variable of type [tex]ax^2+bx+c[/tex] where a,b,c are constant and the x is variable.
Now from the given question we have [tex](x-1)^2[/tex].
[tex](x-1)^2=x^2-2x+1[/tex]
Now we will find the value of scores 1,2,1,4 by putting in the equation.
At
[tex]x=1 \ \ \ =(1-1)^2=0\\\\\\x=2\ \ \ =(2-1)^2=1\\\\\\x=1\ \ \ =(1-1)^2=0\\\\\\x=4\ \ \ =(4-1)^2=8[/tex]
Hence the value of (x-1)^2 at scores 1,2,1, and 4 are 0,1,0,8 respectively.
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A bag contains 2 red marbles, 4 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?
Answer:
0.1
Step-by-step explanation:
total number of marbles= 2+4+8=14 marbles
probability of getting 2blue
= 4/14×3/13= 4×3/14×13=12/182= 0.06593
to the nearest tenth= 0.1