Answer:
The answer is
→ [tex]x=-8[/tex]
Step-by-step explanation:
Given: [tex]\frac{-72}{x} = 9[/tex]
Solve:[tex]\frac{-72}{x} = 9[/tex]
Step 1: Multiply all terms by the same value to eliminate fraction denominators.
[tex]\frac{-72}{x} = 9[/tex]
⇒ [tex]x * \frac{-72}{x} = x * 9[/tex]
Step 2: Cancel multiplied terms that are in the denominator.
[tex]x * \frac{-72}{x} = x * 9[/tex]
⇒ [tex]-72 = x * 9[/tex]
Step 3: Re-order terms so constants are on the left.
[tex]-72 = x * 9[/tex]
⇒ [tex]-72 = 9x[/tex]
Step 4: Divide both sides by the same factor.
[tex]-72 = 9x[/tex]
⇒ [tex]\frac{-72}{9} = \frac{9x}{9}[/tex]
Step 5: Simplify.
Divide the numbers.[tex]\frac{-72}{9} = \frac{9x}{9}[/tex]
⇒ [tex]-8 = \frac{9x}{9}[/tex]
Cancel terms that are in both the numerator and denominator.[tex]-8 = \frac{9x}{9}[/tex]
⇒ [tex]-8 = x[/tex]
Move the variable to the left.[tex]-8x = x[/tex]
⇒ [tex]x = -8[/tex]
Hence, [tex]x = -8[/tex] is your answer.
- ✨7272033Alt✨Can someone help me with this math equation? Can you explain how to work it out also?
Answer: 50
Explanation:What we know:The numerator is 6The denominator is equal to (3*5)^(-2)In fraction-style equations, the numerators are divided by denominatorsNegative exponents are equal to (base)^|power|, and then reversing the products place in the fraction
How to solve:
By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure
Process:ExponentSet up equation 6 / [3 * 5^(-2)]
Rewrite power 6 / [3 * (5 * 5)]
Simplify power 6 / [3 * (25)]
Invert power 6(25) / 3
SimplifyingSet up equation 6(25) / 3
Simplify 150 / 3
Simplify (using common denominator) 50 / 1
Rewrite in simplest form =50
Answer: 50
Screenshot attached please help i need the answer quickly there are 2 problems so please solve all of them
Answer:
Pink: 48 units sq
Blue: 42 units sq
Step-by-step explanation:
Area of a trapezoid: A=(h)(a+b)/2. To see where h, a, and b are located, see the reference image below. Always remember that a is the shorter end and b is the longer end. Since each grid mark goes by 2, we can use the graph to find the missing variables.
PINK trapezoid:
h = 8, a = 4, b = 8A = 8(4 + 8)/2 = 48 units squaredBLUE trapezoid:
h = 6, a = 4, b = 10A = 6(4 + 10)/2 = 42 units squaredHope this helps!
i need help please will give brainlist
Answer:
C is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Can someone find F(12).
i really have no idea...
Please and thank you?
Answer: 909.03
Step-by-step explanation:
We know that the equation is an exponential function, it can be written as y=ab^x
[tex]100 &=a b^{6.5} \dots \mathrm{Equation \ 1} \\11 &= a b^{1} \\[/tex]
[tex]\Rightarrow ab^1=11[/tex]
[tex]\Rightarrow \frac{ab^1}{b}=\frac{11}{b};\quad \:b\ne \:0[/tex]
[tex]\Rightarrow a=\frac{11}{b}[/tex]
a = 11/b, substitute it in equation 1
[tex]100 &=a b^{6.5}[/tex]
[tex]\Rightarrow 100=\left(\frac{11}{b}\right)b^{6.5}[/tex]
[tex]\Rightarrow 100b=11b^\frac{11}{2}[/tex]
[tex]\Rightarrow 11\sqrt{b^{11} } =100b[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow \sqrt{b^{11} } =\frac{100}{11}}[/tex]
[tex]\Rightarrow {b^{11} } =\frac{10000}{121}}[/tex]
[tex]\Rightarrow {b} =\frac{\sqrt[11]{10000 \cdot 11^9} }{11}[/tex]
[tex]\Rightarrow {b} = 1.49379[/tex]
a = 11/b
a = 11/(1.49379)
a = 7.36382
Equation: y = (7.36382)(1.49379)^x
Now plug in 12 for x:
[tex]\Rightarrow { \left(7.36382\right)\left(1.49379\right)^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:1.49379^{12}[/tex]
[tex]\Rightarrow 7.36382\cdot \:123.44530\dots[/tex]
[tex]\Rightarrow 909.03[/tex]
Therefore, f(12) = 909.03 for the exponential function
Maria tutors history. For each hour that she tutors, she earns 30 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H. Then use this equation to find Maria's earnings after tutoring for 17 hours.
hydrochloric acid solution and
70% hydrochloric acid solution
must be mixed to obtain 20
ounces of 50% hydrochloric acid
solution?
Answer:
8 ounces of 20%12 ounces of 70%
Step-by-step explanation:
Let 'x' be the number of ounces of 20% solution'y' be for the 70%
solutionSince the the mix is 50% of 20 ounces then:x + y = 200.20x +
0.70y = 0.50(20)From the 1st equation solve for xx = 20 - ySubstitute it to
the 2nd equation0.2(20-y) + 0.7y = 104 - 0.2y + 0.7y = 100.5y = 10-40.5y =
6y = 12Substitute to x = 20 - yx = 20 - 12x = 8
An experiment involves flipping a coin three times.
The following tree diagram shows the possible outcomes for the experiment.
What is the probability of getting exactly 2 tails?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
2⋅2⋅2=8 possible combinations in total.
Step-by-step explanation:
Which of the angles in the figure are supplementary to Ð5?
Answer:
Option C) Angle 6 and 7 only
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
So here the angle supplementary to Angle 5 would be 6, since adding both would get us 180 degrees. Then there's angle 7 which would also give us 180 degrees when added to angle 5.
WILL CHOOSE BRAINLIEST! If A is (-4,5) and A' is (5,4) what transformation was used?
Answer:I think it isa 90 degrees clockwise rotation, because theformula for it is (x,y) to (y,-x)
Step-by-step explanation:
When using a number line to simplify 175 + (−16), which three choices are correct?A) 175 + (−16) = 159B) 175 + (−16) = 191C) Move 16 units to the left on the number line.D) Move 16 units to the right on the number line.EliminateE) Adding the opposite of a number is the same as subtracting.
Answer:
B
Step-by-step explanation:
175+(-16) is the same as 175-16, because you can carry the negative. 175-16=159, which is B.
ONLY answer if you know what the answer is. If you are not sure DONT FREAKING ANSWER.
Answer:
13
Step-by-step explanation:
the absolute value is the opposite of its number, for example 6, the opposite of 6 is -6
hope this helps :)
and if it's wrong i am so sorry:(
Answer:
The absolute value of -13 is 13
Step-by-step explanation:
The absolute value of a number is how far it is from 0.
Positive 13 is 13 away from zero, but so is -13
Hope that helps!
Karen just bought 6 bags of 16 cookies each. She already had 9 cookies in a jar. How many cookies does Karen have now?
Answer:
105 cookies
Step-by-step explanation:
We can model Karen's cookie situation like so:
#TotalCookies = #RecentlyBought + #AlreadyHad
We know that Karen already had 9 cookies in a jar, so it now looks like.
#TotalCookies = #RecentlyBought + 9
The number she recently bought, involves multiplication. So she bought 6 bags of 16 cookies. That's 6 x 16 = 60 + 36 = 96
#TotalCookies = 96 + 9 = 105 cookies
Karen loves cookies!
Answer:
105 cookies
Step-by-step explanation:
Given:-
Total cookies he have already :- 9cookies bought :- 6 bags each of 16 cookiesTo find:-
Total no. of cookies he have nowSolution:-
total no. of cookies :- new cookies + old cookies
= 6×16+9
105 cookies
HELP PLS! I WILL CHOOSE BRAINLIEST!
Answer:
42
Step-by-step explanation: the reason the answer is 42 because somewhere in the lesson it will show and I did my research on this so it is 42
My bro needs help with his math homework:
There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?
(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?
Due to gravity, an object falls 16t squared feet in t seconds. You drop a backpack from a window that is 60 feet above the ground. Will the backpack hit the ground in 2 seconds?
Answer:
No
Step-by-step explanation:
Since gravity falls at a rate of 16 feet per second, t= number of seconds.
if t=2 seconds, you would have the equation 16*2 = fall amount
16*2 =32. Since it is less than 60 feet, the backpack won't hit the ground in 2 seconds
The diagram shows a pair of similar figures.
What do the center and the scale factor need to be in order to transform triangle ace to triangle abd ?
Answer:
C
Step-by-step explanation:
coach loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of ______
a. center
b. quantity
c. distribution
d. variation
e. correlation
Answer:
variation?
Step-by-step explanation:
A circular field has a diameter of 50 yards. If a fence needs to be built to go around the field, how many yards of fencing are needed?
157 yards
314 yards
100 yards
1962 yards
Answer:
A.
Step-by-step explanation:
A fence is needed for the circular field.
Circumference is basically perimeter but for circles.
Knowing this information, we can use the formula for circumference.
C = [tex]\pi[/tex]d
C = (3.14)(50)
C = 157
hope it helps :)
Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.
Growth factor Levels
Lighting Low, Medium, High, Very high
Age month, months, months, months, months
Temperature , , ,
She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?
Answer:
80
Step-by-step explanation:
For these types of counting problems, just multiply all of the levels.
For example, this would be
4 choices
5 choices
4 choices
Multiply 4*5*4, and you get 80.
Total number of ways of combining one level from each of the growth factors is equals to 80.
What is fundamental principle of counting?" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."
According to the question,
Number of growth factors =3
First growth factor: Lightening
Second growth factor: Age
Third growth factor : Temperature
As per the data given we have,
Number of levels in lightening 'm'= 4
Number of levels in age 'n'= 5
Number of levels in temperature 'p' =4
Substitute the value as per the definition of fundamental principle of counting
Total number of ways = m × n × p
= 4 × 5 × 4
= 80 ways
Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.
Learn more about fundamental principle of counting here
https://brainly.com/question/23905307
#SPJ2
The temperature at 6:00 P.M. was 68°F. This was 5°F lower than the temperature at 3:00 P.M. The temperature at 1:00 P.M. on that day was 3°F higher than the temperature at 3:00 P.M. What was the temperature at 1:00 P.M.?
Zoe considers the lunch choices as she looks at the menu. What is the probability that she will choose cheese pizza, apple, milk?
Meal: Cheese Pizza, Cheeseburger, Hotdog, Salad
Side: Banana, Apple, Yogurt
Beverage: Milk, Water, Juice
Answer:
1/36
Step-by-step explanation:
Meal: 4 choices
Side: 3 choices
Beverage: 3 choices
Total number of possible combinations: 4 × 3 × 3 = 36
The specific combination of cheese pizza, apple, and milk is 1 of the 36 possible choices.
p(cheese pizza, apple, milk) = 1/36
Answer:
e
Step-by-step explanation:
We first have to find out how many outcomes there are in total. That means finding out how many meals, sides, and beverages there are.
Meals: cheese pizza, cheeseburger, hotdog, and salad (4)
Sides: banana, apple, and yogurt (3)
Beverages: milk, water, and juice (3)
4 x 3 x 3 = 36
There are 36 possible outcomes.
We need to find the probability that Zoe will choose cheese pizza, an apple, and milk. Those are three outcomes.
The probability is 3/36.
The fraction 3/36 can be simplified to 1/12.
uh looking at the other answer that one is probs right
either way, hope this helps?
You have a coin and a dice. Flipping the coin, you can either get heads or tails facing up. There are 6 numbers on the dice, numbered 1-6. What is the probability of flipping tails and getting the numbers 3 or 4 on the dice?
Answer:
3 = (50.000%)
4 = (66.667%)
Step-by-step explanation:
3 out of 6 = 3/6
4 out of 6 = 4/6
3/6 in decimal form is 0.5
4/6 in decimal form is 0.6666 (the six repeats forever)
0.5 out of 1 is 50%
0.6666 (the six repeats forever) out of 1 is about 66.667%
0.5 = (50.000%)
0.66667 (rounded) = (66.667%)
This figure represents a specialty design for a craft template, made of a square and two identical triangles.
What is the area of 4 of these designs?
108 cm²
135 cm²
432 cm²
540 cm²
Answer:
540 cm²
Step-by-step explanation:
Area of the figure
2 x 1/2 x 9 x 6 + 9 x 954 + 81135 cm²Area of 4 figures
Area of the figure x 4135 x 4540 cm²help pls :( i will help you
Answer:
7 in thick
Step-by-step explanation:
There are two of the 2 1/4 books; and one of the 2 1/2 in. thick book.
2 1/4 + 2 1 /4 = 4 1/2 + 2 1 /2 = 7 in. thick
what is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?
whoever answers correctly gets brainliest!
Answer:
[tex]2^9[/tex]
Step-by-step explanation:
Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].
Answer:
2^9
Step-by-step explanation:
there are 9 2's and since it has to be in exponential form its 2^9
Can somebody help me with this please and thanks
Answer:
120 cubes are required.........
Answer:
120 1/3 cubes
Step-by-step explanation:
you have 5 thirds so 5 and 4 thirds so 4 and 2 wholes which is 6 thirds so you would multilpy them and the equation would be 5x4x6 and that equals 120.
Brian watches 2 dogs for a week. He has a 126 ounces of dog food. Does Brian have enough food for a week?
Michael eats 10.25 oz / 1 day
Janet eats 7.5 oz / 1 day
Answer:
Yes
Step-by-step explanation:
10.25 oz x 7 days = 71.75 oz
7.5 oz x 7 days = 52.5 oz
71.75 oz + 52.5 oz = 124.25 oz
124.25 oz < 126 oz
Answer:
yes
Step-by-step explanation:
10.25x7 =71.75
7.5x7=52.5
52.5+71.75=124.25
Please help! simplify the expression:
Write a positive or negative number to represent each change in the high temperature.
1. Tuesday’s high temperature was 4 degrees less than Monday’s high temperature. ?
2. Wednesday’s high temperature was 3.5 degrees less than Tuesday’s high temperature. ?
3. Thursday’s high temperature was 6.5 degrees more than Wednesday’s high temperature. ?
4. Friday’s high temperature was 2 degrees less than Thursday’s high temperature. ?
Answer:
1. -4
2. -3.5
3. 6.5
4. -2
Step-by-step explanation:
LESS and MORE are the clues