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 ♡
A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
9514 1404 393
Answer:
$9,437.65
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
[tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]
Solve The Equation !
‐5x – 3 < 2x – 18
Answer:
x>15/7
Step-by-step explanation:
A rectangle I has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one vertex is the point (-5,-7) and the origin is in the interior of the rectangle, fi the vertex of the rectangle is opposite of (-5,-7).
Answer:
B, C, E
Step-by-step explanation:
On edge 2021
Pretty please help!!!
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies:
Number of pies: 5 10 15
Pounds of apples: 2 4 6
simplify 7 sqare root 3 takeaway 2 sqare root 3 add sqaure root 3 takeaway 3 sqaure root 3
Answer:
tel:+18446450594
Step-by-step explanation:
6) Calculate the slope of a line containing the points (-3,5) and (-7,11).
slopev=
[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]
so
Y=11_5 =6
X = -7_(-3) = -4.
slope = (-4,6)
make as brainlist
what's a slop in math
Answer:
Its the division of x axis divided by y axis
Answer:
The slope of the line is a measure of its steepness. You can find it with rise/run. The formula for slope is m=y2-y1/x2/x1
The answer to a subtraction problem
Answer:
The answer in a subtraction problem is called the difference.
Step-by-step explanation:
Hi there!
The answer to a subtraction problem is called rest or difference while the top thats being subtracted is called the minuend and the middle one is called the subtrahend.
At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from?
LOTS OF POINTS plz help due today!!!!!
Answer:
what numbers do you need answering??
Step-by-step explanation:
Which measurement is most likely to be the mass of a strawberry?
Answer:
is there anything to go with this?
Step-by-step explanation:
Answer: D
Step-by-step explanation: Saw your recent comment on this
Estimate the quotient for:
4,819÷68
Answer:
≈ 70.87 (rounded to the nearest hundredth)
Step-by-step explanation:
-When you do 4,819 ÷ 68, you’ll get:
70.867647058....
-So, just round it to the nearest hundredth:
70.87
There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds
60 x 5 + 45 = 345 Seconds
What is the simplified value of the exponential expression 273?
Answer:
3
Step-by-step explanation:
27^1/3
= 3√27
=3 is the collect option
What is the length of side a?
Answer:
where is the picture
Step-by-step explanation:
u need a pic
Find percentage of .20
Answer: The percentage of 0.20 is 20%.
Step-by-step explanation: 0.20 represents the 20% of 100%.
Answer: 20%
Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%
Find the slope of the line containing the points in the table below
Answer:
slope = 3
Step-by-step explanation:
Choose any two points: For example, (2, 4) and (4, 10)
Find the difference in y. This is called the "rise."
rise = 10 - 4 = 6
In the same order, find the difference in x. this is called the "run."
run = 4 - 2 = 2
slope = rise/run
slope = 6/2
slope = 3
What is a equivalent expression for 10(y² + 2.45)
Answer:
10y²+24.5
Step-by-step explanation:
distribute.
10y²+24.5
Hope this helps plz hit the crown :D
The equivalent expression for the given expression is 10y²+24.5.
The given expression is 10(y² + 2.45).
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The equivalent expression is
10(y² + 2.45)
=10y²+24.5
Therefore, the equivalent expression for the given expression is 10y²+24.5.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
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What is the angle measure of angle MPQ?
Answer:
125°
Step-by-step explanation:
Find the value of x first.
5x = 3x + 50 (corresponding angles are congruent)
Subtract 3x from each side
2x = 50
Divide both sides by 2
x = 25
Angle MPQ = 3x + 50
Plug in the value of x
Angle MPQ = 3(25) + 50 = 125°
. Ruiz wants to buy a coffee machine that costs
$45.00. How much would the cashier give Ruiz if she
gives the cashier a $100 bill?
Ruiz would get back 55 dollars 0 cents
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
Answer:
4:120
Step-by-step explanation:
for 120 student they would be 4 teacher needed per 30 student
4:120
3.3^(2x+1)-103^x+1=0 need value of x
Answer:
The value of [tex]x[/tex] is approximately -1.531.
Step-by-step explanation:
Let [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex], we proceed to solve this expression by algebraic means:
1) [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex] Given
2) [tex]3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
3) [tex](3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
4) [tex](3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/Commutative property
5) [tex]\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0[/tex] Existence of multiplicative inverse/Definition of division/Modulative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}[/tex] Existence of additive inverse/Modulative property/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]
7) [tex]\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}[/tex] Definition of logarithm.
8) [tex]2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}[/tex] [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]
9) [tex]2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3[/tex] [tex]\log_{b} \frac{a}{d}[/tex]
10) [tex]x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3[/tex] [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]/Associative property
11) [tex]x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}[/tex] Existence of multiplicative inverse/Definition of division/Modulative property
12) [tex]x \approx -1.531[/tex] Result
The value of [tex]x[/tex] is approximately -1.531.
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $
Answer:
a. V = $109,600 - $5,750(t)
b. $69,350
Step-by-step explanation:
a. The expression of the value of the bulldozer is as follows
V = $109,600 - (m) × (t)
where,
m = depreciation
t = time in years
Now the equation would be
$109,600 - 16(m) = $17,600
m = ($109,600 - $17,600) ÷ (16)
= $5,750
Now the expression would be
V = $109,600 - $5,750(t)
b. Now the value of the bulldozer is
= $109,600 - $5,750 × 7 years
= $109,600 - $40,250
= $69,350
Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!
what is equivalent to 1/2 (2x + 7)
5) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?
Answer:
90
Step-by-step explanation:
81/x=90/100
8100=90x
90=x
The total number of problems given in exam was 90.
PercentageWhat is percentage?Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.
How to calculate percentage?Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.
Calculation for the total number of question given:A student correctly answered 81 problems.
Grade received by student is 90%
Let the total number of question given in the test be 'x'.
Thus,
90% of x = 81
(90/100)x = 81
x = (81×100)/90
x = 90
Therefore, the total number of question allotted to the student is 90.
To know more about how to conver percent to fraction?, here
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To earn a prize sally had to sell at least 9 out of the 20 candy bars for the band fundraiser what percentage of the candy bars did she need to sell ?
Answer:
45%
trust me i took this test before
Step-by-step explanation:
I need help with this question thanks!
Answer:
n= -10
Step-by-step explanation:
50-20= 30 so -3n=30. So n= -10.
Answer:
n=-10
Step-by-step explanation:
-3n+20=50 move constant to the right hand side
-3n=50-20 subtract the numbers
-3n=30 divide both sides by -3 and the answer is n=-10
BRAINLIST HELP TIMED
Answer:
its the second one
Step-by-step explanation:
u just mulitply the terms together and add the exponents
Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...
Answer:
The answer is i have no clue