Answer: The new number is 1.44% smaller than the original.
=========================================================
Explanation:
To increase by 12%, we involve the multiplier 1.12
Think of 1.12 as 100% + 12% = 1 + 0.12 = 1.12
We go from x to 1.12x
To decrease by 12%, we will use the multiplier 0.88 because 1 - 0.12 = 0.88
Think of it like a discount. If you save 12%, then you pay the remaining 88%
So 0.88*1.12x = 0.9856x
The value 0.9856 is smaller than 1, meaning that overall we have a net discount going on.
The discount rate is 1 - 0.9856 = 0.0144 = 1.44%
In other words, x ultimately goes down by exactly 1.44%
----------------
If you want to use an actual number to see an example, let's go for x = 100
Increasing 100 by 12% means we increase by 0.12*100 = 12
We go from 100 to 112
Then decreasing by 12% means the value goes down by 0.12*112 = 13.44 and drops to 112-13.44 = 98.56
The original value 100 becomes the final value 98.56
This is a percent decrease of (100-98.56)/100 = 0.0144 = 1.44%
Which ratio represents Cos A?
Pls answer this line problem
Answer:
2 1/4
Step-by-step explanation:
how am i supposed to explain this (wait until someone else answers aswell im not that smart)
Tell weather -5 is a solution of y + 8 > 3.
Answer:
-5 is your answer.
Step-by-step explanation:
[tex]=y+8>3\\\\=y+8-8>3-8\\\\[/tex] [Subtracting 8 in both sides]
[tex]=y>-5[/tex]
Multiply: 1 1/6 x 6/11 =
Solution:
To solve a mixed fraction multiplication problem, you must:
Convert the fractions into improper fractions. (If the fractions are proper, you can skip this step.)Simplify the fractions If possible. (If it is not possible, you can skip this step.)Multiply the fractions (numerator with numerator and denominator with denominator).After reviewing how to multiply an improper fraction, let's solve the multiplication problem.
1 1/6 x 6/11=> (6 + 1)/6 x 6/11 [According to step 1]=> 7/6 x 6/11 => 7/1 x 1/11 [According to step 2]=> 7 x 1/11 x 1 [According to step 3]The solution to the multiplication problem is 7/11.
[tex] \bf \nrightarrow \: 1 \frac{1}{6} \times 6 \frac{6}{11} [/tex]
Convert the mixed fraction to improper fraction by Multiplying the denominator with the integer and adding the numerator to the product of denominator and integer
[tex] \sf \underbrace{1 \frac{1}{6} = \frac{7}{6} }[/tex]
Now, Multiply the fractions
[tex] \bf \: \frac{7}{6} \times \frac{6}{11} [/tex]
Multiply the numerators and denominators
[tex] \bf \nrightarrow \: \frac{7 \times \cancel 6}{ \cancel6 \times 11} [/tex]
[tex] \boxed{ \sf \: ans \multimap \: \frac{7}{11} }[/tex]
Solve the equation.
-5/7 ● -21/55
Step-by-step explanation:
Multiply:
[tex] \frac{ - 5}{7} \times \frac{ - 21}{55} = \frac{105}{385} [/tex]
Divide each side by 35:
[tex] \frac{105 \div 35}{385 \div 35} = \frac{3}{11} [/tex]
Your simplified product is 3/11.
help PLEASEEE
Given that Segment AD=29, AE=21 and CE=99, find the indicated measures for x, y, and perimeter of kite ABCD.
Answer:
DE = BE = x
x = 29² - 21²
= √400
= 20
x = 20
y = 20² + 99²
= √10201
= 101
y = 101
perimeter of kite ABCD : 29 + 29 + 101 + 101
= 260
3^2y-1 = (9)(27)^y-2 calculate the value of y
Thank you
Answer:
y = 3
Step-by-step explanation:
3^2y - 1 = (9)(27)^y - 2
3^2y-1 = 243^y - 2
log(243)/log(3) = 5
2y - 1 = 5(y - 2)
2y - 1 = 5y - 10
-5y -5y
-3y - 1 = -10
+ 1 +1
-3y = -9
-3 -3
y = 3
A brownie recipe ask for four and two thirds times as much sugar as chocolate chips. If three and one half cups of sugar is used, what quality of chocolate chips would then be needed according to the recipe
Answer:1 cup of chocolate chips for every 1and 3/4 cup of flour
so divide 4 and 2/3 x 1 and 3/4
turn them both into fractions
4 2/3 = 14/3
1 3/4 = 7/4
14/3 / 7/4 = 14/3 x 4/7 = 56/21 = 2 and 2/3 cups of chocolate chips are needed
Step-by-step explanation:
5. The science class is raising monarch caterpillars.
One of the caterpillars weighs 2.3 ounces.
About how many grams does the caterpillar
weigh? Round to the nearest tenth.
Answer:
65.2 g
Step-by-step explanation:
1 ounce is approximately 28.35 grams. So, 2.3 ounces is ...
(2.3 oz) × (28.35 g/oz) ≈ 65.2 g
The caterpillar weighs approximately 65.2 grams.
_____
Additional comment
The exact conversion is 1 oz = 28.349523125 g. For a 3-significant figure answer, we only need a conversion factor accurate to 4 significant figures.
Function g is defined as
g(x)=f (x + c). What is the value of c?
Answer:
c= gx/f -x
Step-by-step explanation:
You're Welcome haha
Help please! I don’t have many points!
Answer:
110°
Step-by-step explanation:
Angles don't change if both are same shape (gradient)
Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sales, but it keeps a fraction of each sale. Her net pay is modeled by the function P(x) = x2 + 18x – 160, where x represents the number of sales. How many sales does Allison to make to earn $600?
9 sales
20 sales
38 sales
841 sales
Answer:
20 sales.
Step-by-step explanation:
p(x) = x² + 18x – 160
Here p(x) represents the net pay.
Given that p(x), net pay is $600
x² + 18x – 160 = 600
x² + 18x – 160 - 600 = 0
x² + 18x – 760 = 0
x² +38x - 20x - 760 = 0
x(x+38) - 20(x+38) = 0
(x-20)(x+38) = 0
x = -38, 20
x = 20
Therefore, she makes 20 sales in order to make $600.
Answer: 20 sales.
Proof of validity is shown below.
There are 25 students and one teacher in class. After an exam, everyone high-fives
everyone else to celebrate how well they did. How many high-fives were there?
Answer:
300
Step-by-step explanation:
I think it will be 300 because
People High-Fives
2. 1
3. 3
4. 6
5. 10
6. 15
7. 21
8. 28
9. 36
10. 45.
There fore 10 people's high five will be 45 keep repeating and finding out the high fives I got 300 but I'm not sure if it's correct
The required number of high fives is 300.
Given that,
There are 25 students and one teacher in the class. After an exam, everyone high-fives everyone else to celebrate how well they did. How many high-fives were there is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
There are 25 students
n = 25
For each high five, there would be at least 2 students,
r = 2
The number of high five is given by combination,
= 25 C 2
= 25 * 24 / 2
= 600 / 2
= 300
Thus, the required number of high fives is 300.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2
BC=B, C, equals
Round your answer to the nearest hundredth.
Answer:
...
Step-by-step explanation:
WHat THE hAIL I DONT EVEN KNO WHAT UR ASKING MY BOY
Help me out please! CORRECT PLEASE i will mark brainliest
Answer:
the answer for 2 is given answer for 1 is trans prop of answer for 3 is knl and answer for 4 is nkl
Step-by-step explanation:
PLEASE HELP i have been on this question forever
Answer:
1520.5
Step-by-step explanation:
The area of a circle is pi times r^2. r stands for radius. r, which is 22 squared is 484, Multiply that with pi and you have your answer.
Answer:
The area of circle is 1520.5 in².
Step-by-step explanation:
DIAGRAM :
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large{22\ in}}\end{picture}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the area of circle :
[tex]\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}[/tex]
A = Area π = 3.14 r = radiusSubstituting all the given values in the formula to find the area of circle :
[tex]{:\implies{\tt{A_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22)}^{2}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22 \times 22)}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(484)}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14 \times 484}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 1520.53}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} \approx 1520.5}}}[/tex]
[tex]{\star{\boxed{\tt{A_{(Circle)} \approx 1520.5 \: {in}^{2}}}}}[/tex]
Hence, the area of circle is 1520.5 in².
[tex]\rule{300}{2.5}[/tex]
Pls help in need
All appreciation
31. You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
• $32,000/year
© $18.50/hour
• $30,000/year with a 5% bonus
) $17.50/hour and a $1,500 bonus at the end of the year
Answer:
Option BStep-by-step explanation:
Calculate and compare:
A) $32000B) $18.5*35*52 = $33670C) $30000 + 5% = $30000 + $1500 = $31500D) $17.5*35*52 + $1500 = $33350please help me with this please
Answer:
3
……………………………………………………………………
Answer:
The answer is 3
Step-by-step explanation:
Use [tex]\sqrt{x}[/tex] Solve for x
Check the picture below.
and if you check your Unit Circle, you'd notice that those angles have an specific value.
[tex]\cfrac{15}{sin(60^o)}~~ = ~~\cfrac{x}{sin(45^o)}\implies \cfrac{15}{~~ \frac{\sqrt{3}}{2}~~}~~ = ~~\cfrac{x}{~~ \frac{\sqrt{2}}{2}~~}\implies \cfrac{15}{1}\cdot \cfrac{2}{\sqrt{3}}~~ = ~~\cfrac{x}{1}\cdot \cfrac{2}{\sqrt{2}}[/tex]
[tex]\cfrac{30}{\sqrt{3}}=\cfrac{2x}{\sqrt{2}}\implies \cfrac{30\sqrt{2}}{\sqrt{3}}=2x\implies \cfrac{30\sqrt{2}}{2\sqrt{3}}=x\implies \cfrac{15\sqrt{2}}{\sqrt{3}}=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{15\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{15\sqrt{6}}{3}}\implies \boxed{5\sqrt{6}=x}[/tex]
Tell whether the ordered pair (−1, 4) is a solution of the system.
-2x-3y=-10
-3x+y=7
True or False
Answer:
True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4
Answer:
True
Step-by-step explanation:
[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]
Substitute into one of the equations:
[tex]-2x-3(7+3x)=-10[/tex]
Apply the Distributive Property:
[tex]-2x-21-9x=-10[/tex]
Combine like terms:
[tex]-11x-21=-10[/tex]
Rearrange variables to the left side of the equation:
[tex]-11x=-10+21[/tex]
Calculate the sum or difference:
[tex]-11x=11[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]x=-\frac{11}{11}[/tex]
Cross out the common factor:
[tex]x=-1[/tex]
Substitute into one of the equations:
[tex]y=7+3[/tex] × [tex](-1)[/tex]
Calculate:
[tex]y=4[/tex]
The solution of the system is:
[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]
Express solutions in ordered pairs:
[tex](-1,4)[/tex]
Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:
True
(PLEASE HURRY! WILL AWARD BRAINLIEST)
Find the value of x to the nearest tenth. Show your work.
324 ft
Flagpole
shadow
40 ft
The diagram above shows a 40-foot flagpole and its shadow in relation to a nearby building that is
324 feet tall. If the flagpole's shadow is 50% longer than the flagpole itself, how far is the
building from the flagpole?
The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
How to determine the distanceThe given parameters are:
Flagpole = 40 feetBuilding Shadow = 324 feetThe flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:
[tex]l = 40 * (1 + 50\%)[/tex]
[tex]l = 60[/tex]
The length of the building's shadow (d) is then calculated as:
[tex]60 : 40 =d : 324[/tex]
Express as fraction
[tex]\frac{60}{40}= \frac{d}{324}[/tex]
[tex]1.50 = \frac{d}{324}[/tex]
Solve for d
[tex]d = 1.50 * 324[/tex]
[tex]d = 486[/tex]
The distance (x) of the building from the flagpole is then calculated as:
[tex]x = 486 - 324[/tex]
[tex]x = 162[/tex]
Hence, the building is 162 feet from the flagpole
Read more about distance and bearing at:
https://brainly.com/question/11744248
Given the N values in a series, the geometric mean is
A. The third root of the product of N values.
B. The square root of the product of N values
C. The fourth root of the product of N values
D. The Nth root of the product of N values
Answer:
1,870
Step-by-step explanation:
Grandma Millie is shrinking! Her height decreases by \dfrac{1}{4} \text{ cm}
4
1
cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text each year.
What is her total change in height over 333 years?
Answer:
83.25 cm
Step-by-step explanation:
1/4(x) cm
x= time
1/4(333)
or 333/4
her height changes
83.25 cm
i need help with math
Answer:
answer is y=-2x
Step-by-step explanation:
-2x because every time the dot decreases
PLEASE HELP FAST!!!!!
Bacchus bought 7 pounds of grapes for $3.43. What was the price for 1 pound of grapes?
Group of answer choices
$0.49
$0.46
$0.50
Can someone please help me find the answer to this question?
Answer:
pretty sure its d :)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
To solve for the inverse of an equation, the first step is to rewrite f(x) as y.
This should leave you with the equation y=[tex]\frac{3x}{5}[/tex]+3
Then switch y and x, which should leave you with x=[tex]\frac{3y}{5}[/tex]+3
Lastly, solve for y.
subtract 3 from both sidesmultiply both side by 5 divide both sides by 3This should give you the final answer of D or y=[tex]\frac{5(x-3)}{3}[/tex]
The picture below gives a step-by-step picture.
if f(x)=3x-9 and g(x)=-x^2, then g(f(2))=
Answer:
g(f(2)) = -9
Step-by-step explanation:
You work from the inside out...
To find g(f(2)), you must first find f(2). f(2) = 3(2) - 9 = 6 - 9 = -3.
Now find g(-3). g(-3) = -(-3)^2 = -9.
write 7 7/8 as a improper fracton
Answer:
63/8
Step-by-step explanation:
(7x8) + 7 = 63
keep the same dinominator
Answer: it would be 63/8 as an improper fraction
Step-by-step explanation: