Answer:
exact form 3/2 decimal form 1.5 mixed number form 1 1/2
Step-by-step explanation:
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}[/tex]
☯[tex] \underline{ \underline{ \sf{Question}}} : [/tex]
3 ( x - 2 ) + 4 = x - 5☯ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]
the value of x[tex] \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}[/tex]
You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.
⇢ [tex] \text{3 × \: x - 3× 2 + 4 = x - 5} [/tex]
⇢ [tex] \text{3x - 6 + 4 = x - 5}[/tex]
On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '
⇢[tex] \sf{3x - 2 = x - 5}[/tex]
Move x to left hand side and change it's sign.
Similarly , move 2 to right hand side and change it's sign.
⇢[tex] \sf{3x - x = - 5 + 2}[/tex]
On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x
⇢[tex] \sf{2x = - 5 + 2}[/tex]
On the right hand side , - 5 + 2 = -3
⇢[tex] \sf{2x = - 3}[/tex]
Divide both sides by 2
⇢[tex] \sf{ \frac{2x}{2} = - \frac{3}{2} }[/tex]
⇢[tex] \boxed{\sf{x = - \frac{3}{2} }}[/tex]
-----------------------------------------------------------------
✏ CHECK :
[tex] \text{3(x - 2) + 4 = x - 5}[/tex]
Substitute [tex] \sf{ - \frac{3}{2}} [/tex] for x into the original equation. And simplify !
⇾ [tex] \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}[/tex]
⇾[tex] \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} [/tex]
⇾[tex] \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} [/tex]
⇾[tex] \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} [/tex]
Since both sides are equal , x = [tex] \boxed{ - \sf{ \frac{ 3}{2} }}[/tex] is the correct answer.
And we're done !!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
Samuel rode his bicycle down the street. The distance he traveled in time was recorded. What equation best represents the data in the table?
y = -5x + 10
y = 5x
y = 5x + 10
y = -5x
Answer:
Step-by-step explanation:
Y=5x
Answer:
2nd one
Step-by-step explanation:
Points cuz it’s the holidays,, stay safe !
Merry Late Christmas and Happy early New Years !!! Hope you stay safe and healthy during these times :))
1 A parallelogram has base 7.3 mi and height 3.1 mi. What is its area? A 22.63 mi? B 1116 mi? C 26.28 mi? D 21.8 mi?
Answer:
A) 22.63
Step-by-step explanation:
Well as we all know to find the area of a parallelogram u have to multiply Base by Height = Area ; Base×Height=Area
As so: 7.3×3.1=22.63
Final answer 22.63
Y=x+1, xy+2x=0
Help please
Answer:
x = 0,-3
y = 1,-2
Step-by-step explanation:
We can substitute x+1 for x in the second equation
x(x+1) + 2x = 0
x^2 + 3x = 0
x(x+3) = 0
x = 0,-3
y = 1,-2
· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The
equation a = 210 - 35w represents the total amount in Amanda's school lunch account a for w
weeks of purchasing lunches.
Answer:
(See step-by-step)
Step-by-step explanation:
Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.
The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.
The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).
Answer:
Blank 1: 6
Blank 2: 6
Blank 3: 0
Blank 4: 210
Blank 5: 210
Step-by-step explanation:
reasons better than the other
Convert 33 feet per second to miles per hour. Round to the nearest tenth.
33 feet1 second = miles/hr
Answer:
about 22.5 mph
Step-by-step explanation:
for an approximate result, divide the speed value by 1.467
PLZ HELP ME!!!!!!
if you can buy 35 trumips for $15, then how many can you buy with $3?
Answer: one with change mane I’m pretty sure? Really sorry if that’s not right
Step-by-step explanation:
Answer:
I’m pretty sure it’s 7. Just divide the 35 by 5 bc 5 times 3 is 15 and so it would be 7
Hope this helps
Identify the pattern for the following sequence. Find the next three terms in the sequence. . a. -15, -11, -7, -3, ____, _____, _____,...
A: Subtract 4; -7, -11, -15
B. Add 4; 2, 6, 10
C. Subtract 4; 1, 5, 9
D. Add 4; 1, 5, 9
Please select the best answer from the choices provided.
Answer: c
Step-by-step explanation:
Answer:
B you add 4. a negative plus a positive is a negative. -15 +4 is -11
The coordinates of the vertices of a polygon ABCD are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point B is at (negative 2, negative 2), point C is at (4, negative 2), and point D is at (4, 3).
If the points are connected, what polygon is formed?
Heptagon
Octagon
Quadrilateral
Triangle
Step-by-step explanation:
c
Answer:
c
Step-by-step explanation:
MERYY CHRISTMAS!PLEASE HELP! I need help I will give brainlist
1. Write an equation of a line that has a slope of "negative one-half" in each
form: a) point-slope form b) slope-intercept form.
2. Describe how linear data given in a table can help you write an equation of
a line in slope-intercept form.
a function is shown f(x) = 2/3x +3 what is the value of f (6)?
Answer:
The answer is 28/9
Step-by-step explanation:
Step one
Given information
We are given that the function is
[tex]f(x) = 2/3x +3[/tex]
And we are expected to find f(6), that is substitute the value of x with 6
Step two:
[tex]f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9[/tex]
Question 1 What is the answer to the following integer operation: - 8 + 3
Remember what you do when adding two integers with DIFFERENT SIGNS!
Question 2 What is the answer to the following integer operation: 7 - (-14)
Please remember the rule: Keep, Change, Change!
Question 3 What is the answer to the following integer operation: 8 x (-2)
Remember: when you multiply different signs, what will the sign be?
Question 4 What is the answer to the following integer operation: (-36) ÷ (9)
Remember when you divide different signs, what will the sign be?
Question 5 Solve the following expression using Order of Operations/PEMDAS:
24 ÷ 8 x (7+3) ÷ 5
Question 6 Solve the following using Distributive Property:
8(2x +9) - 2
Question 7 Simplify the following expression by combining like terms:
36y - 8y + 15 - 13
Remember, in order to combine terms they need to have the same variable. You cannot combine constant terms and variable terms!
Question 8 Solve the following exponential expression:
3/4
Question 9 Solve the following exponential expression:
18/0
Question 10 Solve the following exponential expression:
18/1
Question 11 Solve the following exponential expression:
1
_
9-3
IF YOU CAN SEND ME THE CORRECT ANSWERS FOR THIS YOU GET 100 POINTS AND YOU GET MARKED THE BRAINLYEST OK THANKS YOU SO MUCH
Answer
Q1. -8+3
solution:
= -8+3
= -5 .Ans
Rule : if the sign are different subtract and and keep the sign of larger value.
Q2. 7-(-14)
solution :
= 7-(-14)
= 7 + 14
= 21 .Ans
Rule: if the signs are same add and keep the sign same
Q3. 8× (-2)
solution:
= 8×-2
= -16. Ans
(solve bracket first)
Q4. (-39) ÷ (9)
solution:
= -39 ÷ 9
= -4 .Ans
Q5. 24 ÷ 8 × (7+3) ÷ 5
solution:
= 24 ÷ 8 × (10) ÷ 5
= 24÷ 8 × 10 ÷ 5
= 3 × 2
= 6
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Q6. 8 (2x+9) - 2
solution:
= 8 (2x+9) -2
= 16x + 72 - 2
= 16x + 70 .Ans
Q7. 36y - 8y + 15 - 13
solution:
= 36y- 8y + 15 - 13
= 30y + 2 .Ans
Q8. 3÷ 4
solution :
= 3÷ 4
= 0.75 .Ans
Q9. 8/0
soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.
Q10. 18 /1
solution:
= 18/1
= 18 ÷ 1
= 18. Ans
Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.
Q11. 1 ÷ 9-3
solution:
= 1 ÷ 9-3
= 0.1111 - 3
= −2.8888 .Ans
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants to be at the airport 1 hour and 15 minutes before his flight leaves. What is the latest time that Jacob can leave for the airport?
Plzzzz help
Answer:
The latest time is 12:00
Step-by-step explanation:
take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00
Answer:
11:00
Step-by-step explanation:
if he leaves at 11:00 it’s takes an hour to get there. So when he gets there it’s 12:00 Add an hour 15 and you get 1:15
What is the missing length for this one?
Answer:
The missing length is 8
Step-by-step explanation:
Represent the missing length with x
The non-parallel sides of the given shape are directly proportional.
Mathematically:
3 to 6 and 4 to x
Represent as a ratio:
[tex]3 : 6 = 4 : x[/tex]
Convert to fraction
[tex]\frac{3}{6} = \frac{4}{x}[/tex]
Cross Multiply:
[tex]3 * x = 6 * 4[/tex]
[tex]3x = 24[/tex]
Divide through by 3
[tex]x = \frac{24}{3}[/tex]
[tex]x = 8[/tex]
The length of the missing side is 8
Write a word expression for 7 + 4a.
Answer:
The answer is Seven plus Four A.
PLZZ HELP!?!?Graph the linear equation −5x+y=−10. Then identify the x-intercept.
WILL BRAINLIEST IF RIGHT!?!?!?
Answer:
there is no x-intercept because the equation is
[tex]y = - 5[/tex]
there is only a y-intercept
I inserted an image of the graph. It's a straight line across -5.
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.
Answer:
0.0809
Step-by-step explanation:
Given that :
Mean(m) = 16000
Standard deviation (s) = 1500
Probability that the life span of the monitor will be more than 18,099
P(x > 18099)
Using the Zscore formula :
Zscore =(x - m) / s
Zscore = (18099 - 16000) / 1500
Zscore = 2099 / 1500
Zscore = 1.399
P(Z > 1.399)
Using the Z probability calculator :
P(Z > 1.399) = 0.080906
= 0.0809
A 15% tip on a $20.05 lunch bill is about ...
A. $0.15
B. $1.50
C. $3.00
D. $2.05
I will give brainliest to whomever gives the answer and an explanation!! Please help!
A fruit juice company includes 1.872 ounces of orange juice in a 6.65-ounce bottle of a mixed fruit
juice. How much of the bottle of mixed fruit juice is NOT orange juice?
ounces
(Type a whole number or a decimal.)
Answer:
4.778 ounces
Step-by-step explanation:
Given that:
Ounces of orange juice in mixed fruit juice = 1.872
Ounces of mixed fruit juice = 6.65 ounces
Ounces of Mixed fruit juice that is not orange juice :
(Ounces of mixed fruit juice - Ounces of orange juice)
(6.65 - 1.872) ounces
= 4.778 ounces
please help me i will give brianliest
Answer:
8 is the right answer
Step-by-step explanation:
in triangle swu,, wT bisect and perpendicular on su
so the triangle is isosceles triangle
therfore,Sw =, 8
The graph of 2x-7y=7 is shown which point is a solution of the equation
Answer: (-1,0)
Step-by-step explanation:
I need to understand question 14 and 15 and the last one cut off for tens in one
Question # 14
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am less than 20.
So the number 'x' must be less than 20 i.e. x < 20I am more than 13.
So the number 'x' must be greater than 13 i.e. x > 13I am less than 17.
So the number 'x' must be less than 17 i.e. x < 17Finally:
I am 4 more than 12
i.e. 12+4 = 16
Thus, the number is x = 16
Question # 15
Part a)
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am more than 10.
x > 10I am less than 20.
x < 20I am more than 12.
x > 12I am less than 15.
x < 15As the numbers left after all the conditions are fulfilled are 13 and 14.
But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.So, from the remaining number 13 and 14;
14 > 13
Thus, the number x = 14
Part b)
Drawing the number 14 in the place value:
Chart
Tens Ones
1 4
A business bought 500 lamps for $10,000. They want to mark them up 25%. What is the retail price of each lamp?
Answer:
$25 a lamp
Step-by-step explanation:
First divide $10,000 by 500 lamps to find how much one of them cost
That is $20 a lamp so then multiply .25 *20 or 1/4 *20
you get 5 than add 20 +5=25
Sarah earned $36.00 mowing lawns. She saved 1/6 of her money. After saving, how much money does Sarah have left?
Help it’s 6 grade math
Answer:
the mean is 55.6; if she redid the D and F papers the mean would increase because you would get a higher average than before. Higher scores mean that the number that you add are larger evidently ending up in a larger value
Step-by-step explanation:
if you want to find mean, all you do is add the numbers together and then divide by the total number of values that you added.
so this would be 74+12+61+86+45 and that is 278. Then there is a total of 5 so you divide 278 by 5 which gives you 55.6.
Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio
Answer:
11.10
Step-by-step explanation:
may be not sure about it
Answer:
1:6
Step-by-step explanation:
1 year = 12 months
4 year = 4 × 12 months
= 48 months
Baby = 8 months
Elder sister = 48 months
B : ES
8 : 48
÷8:÷8
1 : 6
c/4 = -8
c=?
I am very anxious, if you know the answer, please do tell me, thank you.
1. The Honda Accord uses 192 gallons of gasoline to travel 6 miles. At this
rate, how many miles can the vehicle travel per gallon of gasoline? *
A1152 miles
B32 miles
C0.031 miles
D198 miles
Solve the following logarithmic equation.
7 1/2÷3/4 Please help this mom out!!
Answer:
10
Step-by-step explanation:
give me brainly
am i correct? let me know