Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 12}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: 0.75a = - 9}}[/tex]
Divide both sides by 0.75 . Thenafter, Calculate it
[tex] \hookrightarrow{ \sf{ \frac{0.75a}{a} = \frac{ - 9}{0.75}}} [/tex]
[tex] \hookrightarrow{ \boxed{ \sf{a = - 12}}}[/tex]
The value of a is -12
Hope I helped!
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Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = _______
Answer:
Step-by-step explanation:
f(x)= 2x + 5
g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25
h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50
Answer
Step-by-step explanation:
Find the 12th Term of the sequence -16, -12,-8,-4...
Answer:
32
Step-by-step explanation:
You can keep adding 4 from -16 for a total of 12 times to get 32
or you can multiply 12*4 to get 48 and subtract 16 from it
hope this is good enough
arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6
Answer: C. -10, A -6, B 2
Step-by-step explanation:
the smallest number by which 28 should be multiplied so as to get a perfect square is
Answer:
7.
Step-by-step explanation:
28 = 2^2 * 7.
To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.
The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are
Answer:
36, 49
explanation:
The pattern in this series is going by perfect squares:
(1)² = 1(2)²= 4(3)² = 9(4)² =16(5)² = 25From this, we can tell the next 2 numbers in the series will be:
(6)²=36(7)²=49Given the data set below, find the mean,
4,8, 21, 9, 12,6
A.
10
B.
8.5
c.
17
D
12.5
Which numbers are a distance of 6 units from −2 on a number line
Answer:
-8 and 4 are 6 away from -2
Step-by-step explanation:
------/----------------------------------------/----
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7
To estimate your average monthly salary, divide your yearly salary, y, by the
number of months in a year. Write and solve an equation to determine your
yearly salary when your average monthly salary is $4560.
Answer:
$54,720
Step-by-step explanation:
If you make $4560 a month and there are 12 months in a year the equation would be...
$4560 * 12 = yearly salary
4560 * 12 = 54720
So your yearly salary is $54,720
Hope this helps!
Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.
Answer:
23 1/25 desserts per month
Which fraction is simplified fraction of 28/56
Answer:
1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
28 * 2 = 56.
EASY BUNCH OF POINTS & WILL GIVE BRAINLIEST:) Find the distance FG between the points F(2,7) and G(4, -1). Round your answer to the nearest tenth, if necessary. FG=
Answer:
2 between 2 and 4 and 8 between 7 and -1
What is P= I^2r when solving for I?
Answer:
[tex]I=\sqrt{\dfrac{P}{r}}[/tex]
Step-by-step explanation:
Divide by r and take the square root.
[tex]P=I^2r\\\\\dfrac{P}{r}=I^2\\\\\boxed{I=\sqrt{\dfrac{P}{r}}}[/tex]
Asia has $15.45 to buy chips for a party. Each bag costs $2.13. How many can she buy?
Answer:
She can buy 7 bags of chips
Step-by-step explanation:
just take 15.45 and divide it by 2.13
Answer:
7
Step-by-step explanation:
If you divide both numbers you will get 7.253. When it's a decimal, you will round down, which gives you the answer of 7
What are the steps to solving the inequality 3b + 8 2 14?
O Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
O Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the
inequality by 3.
O Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.
O Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the
inequality.
Answer:
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.
Step-by-step explanation:
The given inequality is 3b + 8 ≥ 14
We need to solve the given inequality
Step 1.
Subtract 8 to the both sides of the inequality
3b + 8 - 8 ≥ 14 -8
3b ≥ 6
Dividing both sides by 3
b ≥ 2
The value of b is greater than and equal to 2.
Hence, the correct option is (a).
Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answer:
4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000
Step-by-step explanation:
The given parameters are;
The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0
The number in the thousands of the whole number that Josh wrote = 7
The number in the tens of the whole number that Josh wrote = 2
The value of the whole number that Josh wrote < 500,000
Therefore, we have;
The possible numbers in the hundreds of thousands place = 4, and 2
Which gives the following possible combinations;
The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000
The number of ways of selecting the second number = 3 ways
The number of ways of selecting the third number = 1 way, the number is 7
The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit
The number of ways of selecting the fifth number = 1 way, the number is 2
The number of ways of selecting the sixth number = 1 ways
The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;
487920 or 497820 or 407829 or 407928 or 487029 or 497028
Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.
How many hundreds are in 200+10+6?
Answer:
200+10+6=216
Step-by-step explanation:
2 hundred and 16 is in word form
Since 200 can be written as a sum of 2 100's, hence there are two hundred in the expression given,
Given the expression 200 + 10 + 6
Each term can be written in words as shown:
200 is two hundred
200 = 100 + 100
Since 200 can be written as a sum of 2 100's, hence there two hundred in the expression given,
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A triangular window has area
24 square feet and height six feet.
What is its base?
If angle PQT = (3x + 47)* and angle PQR = (6x - 25)', find the measure of angle SQR.
Since , angle PQT and PQR are in a line .
So , PQT=PQR
(3x + 47) + (6x - 25) = 180
x = 17.56
Now , PQR and SQR are also in same line .
So , PQR + SQR = 180
( 6x - 25 ) + SQR = 180
105.33 - 25 + SQR = 180
SQR = 99.67°
Hence , this is the required solution .
Mary has some trading cards.
Answer:
Step-by-step explanation:
36 divided by 3. I think.
Answer:
Divide 3 by 36 and simplify your answer
Step-by-step explanation:
Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help
Answer:
5/3
Step-by-step explanation:
1.6 repeating is equal to 5/3
The repeating decimal 1.6 can be written as the simplified fraction 5/3.
To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:
x = 1.6
Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):
10x = 16.6
Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:
10x - x = 16.6 - 1.6
This simplifies to:
9x = 15
Finally, divide both sides by 9 to solve for x:
x = 15 / 9
Now, we simplify the fraction:
x = 5/3
Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.
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Which property is illustrated?
x+y=y+x
Answer:
The Communitive Property of Addition
Step-by-step explanation:
The properties are
Communitive: You can switch the order and still get the same answer
Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)
Distributive: (a*b)+(a*c)=a*(b+c)
Identity: You can add a number with 0 and get the same number you started with
y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer
Exercise #2: Jenna is carrying a bucket that holds 2.5 gallons of water. Water weighs 8.34 pounds
per gallon and the bucket itself weights three-quarters of a pound. What is the total combined
weight of the water and bucket that Jenna is carrying! Show the work that leads to your answer
Answer:
21.6 Pounds
Step-by-step explanation:
Multiply 2.5 by 8.34 to get 20.85 pounds of water
add the weight of the bucket (.75) to the weight of the water (20.85) to get 21.6 pounds total
I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answer:
Solving for x:
[tex]x = \frac{3}{2} y + 9[/tex]
Solving for y:
[tex]y = \frac{2}{3} x - 6[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?
$2050
Step-by-step explanation:$20000×1.05×1.05 =
= $20000×1.05²
= $20000×1.1025
= $22050
$22050 - $20000 = $2050
The interest earned for a 2-year period is $2050
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,
We know that,
[tex]A = P(1+r)^t[/tex]
A = amount
P = principal
r = rate
t = time
Putting all the values in the formula,
A = 20000(1+0.05)²
A = 20000(1.05)²
A = 20000×1.1025
A = 22050
Interest earned = Amount - Principal
= 22050 - 20000
= 2050
Hence, the interest earned for a 2-year period is $2050
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RS=2x-8, ST= 11, RT= x+10
Answer:
X=7 ST=11 RT=17
Step-by-step explanation:
RT=RS+ST. RS= 2(7)-8. ST=11
X+10=2x-8+11. =14-8=6. RT= x+10
X+10=2x+3. RS=6. 7+10=17
10=x+3. RT=17
X=7
There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer. What is the smallest of the 3 integers?
Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.
4(x-1) = 3(x-1) + 6
x-1 = 5
x = 6
The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.
How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?
none
two
four
an infinite number
Answer:
4
Step-by-step explanation:
solution: −√10<x<−2 or 2<x<√10
√10=3.16
-3,-2,2,3
The 2 and -2 are the integers satisfy the inequality.
It is required to find the number of integers .
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
For (x²– 4)< 0;
x²<4
By taking the square root of both sides we have,
√x²<√4
x < ±2
x<2 and x<-2
Also,
x²<10
By taking the square root of both sides we get,
√x²<±√10
x < ±√10
x<√10 and x<-√10
The √10 is not an integer but an irrational number. An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
So we can't take the integer of ±√10.
Therefore, the 2 and -2 are the integers satisfy the inequality.
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For which equations are in the solution for x the same number? 15 – х = -3
3
Answer:
Step-by-step explanation:
First equation:
15 - x = - 3
-x = - 3 - 15
-x = -18 (now negative signs on b.s cut eachother)
[x = 18]
Second equation :
15 - x = 3
-x = 3 - 15
- x = -12 ( now negative sign on b.s cut eachother)
[x = 12]
so x = 18 and x = 12 are not same
What is 83/100 simplified?? PLEASE answer quick?
Answer:
Step-by-step explanation:
83/100 is already simplified. You can not make it smaller.
Which algebraic expression represents "the sum of a number and 9"?
On-g
On+ 3
Ogn
n
Answer
n+9
Step-by-step explanation: