The number is -12.
What is the unknown number?
Let the number we are to determine be represented by a
This equation can be determined from the question: 1/4a = 9 + a
In order to determine the value of a, take the following steps
Combine similar terms :
1/4a - a = 9
Add similar terms
-3/4a = 9
divide both sides of the equation by -4/3
a = -12
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Given triangle ABC is similar to triangle DEC. Could you use the proportion 9/10=8.75/EC to determine the measure of EC? If yes, solve for EC. If no, rewrite the proportion and then solve for EC.
Answer:
9.72 approximately
Step-by-step explanation:
Given triangles are similar, to solve 9/10=8.75/EC we cross multiply expressions:
9EC = 87.5 now divide both sides by 9
EC = 9.72 approximately
One-Step Equations pls help 30 points if you solve them
Answer:
No1.
let x represent number of ice cream cones
80=12+4x
80-12=4x
68=4x
x=68/4
x=17
Check:
12+4(17)
=12 +68=80
3. 5x+14=9
collect like terms
5x=9-14
5x=-5
x=-5/5
x= -1
check:
5(-1)+14= -5+14 =9
The area of a circular swimming pool is approximately 18m2. What is the best estimate for the radius?
Answer:
Below
Step-by-step explanation:
Since S = πr², then r=√{S/π)=2.3942
Function or not a function
Answer:
Not a function.
Step-by-step explanation:
Due to the fact that an element from the first set of components is associated with one and only one element from the other. In this case, as it is a circumference, the elements match with more than one element of the other set. I'll give you an example.
Note: I've tried to keep it as simple as possible, and I'm not natively English so I don't really know how some things are mentioned, but I've also made a picture representation and I think it simplifies.
What is the slope of the line
Determine the area, in square units, of the region bounded above by f(x)=11x−3 and below by g(x)=10x−5 over the interval [12,34]. Do not include any units in your answer.
Using integrals, it is found that the area bounded by the two curves in the interval is of 550 units squared.
How is the area under a graph found?The area under the graph of a curve bounded above by a function f(x) and below by a function g(x) over an interval [a,b] is given by:[tex]A = \int_a^b f(x) - g(x) dx[/tex]
In this problem:
The functions are [tex]f(x) = 11x - 3, g(x) = 10x - 5[/tex].The interval is [12, 34], hence [tex]a = 12, b = 34[/tex].Then:
[tex]A = \int_{12}^{34} 11x - 3 - (10x - 5) dx[/tex]
[tex]A = \int_{12}^{34} x + 2 dx[/tex]
[tex]A = \frac{x^2}{2} + 2x|_{x = 12}^{x = 34}[/tex]
Applying the Fundamental Theorem of Calculus:
[tex]A = \frac{34^2}{2} + 2(34) - \frac{12^2}{2} - 2(12) = 550[/tex]
The area is of 550 units squared.
To learn more about integrals and the calculation of area, you can take a look at https://brainly.com/question/26142669
Tamara says she used the GCF to factor the expression 21x 56xy as 7(3x 8xy). Is she correct? Explain.
7x is the GCF of the polynomial.
PolynomialPolynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
21x + 56xy is a polynomial.
To findThe GCF to factor the polynomial.
How to find the GCF to factor the polynomial?21x + 56xy is a polynomial.
Take 7x common from the polynomial. we have
21x + 56xy
7x (7 + 8y)
Thus, 7x is the GCF of the polynomial.
More about the polynomial link is given below.
https://brainly.com/question/17822016
3. Why does it tako 3 copies of; to show the same amount as 1 copy of ?? Explain your answer in words
and pictures
can someone help i don't understand this
Convert rational numbers to their equivalent decimals
Answer:
In order to change a rational number to a decimal, we just convert the number into the form of a fraction. We then divide the numerator with the denominator and find out the exact value of the division.
What is the first step to solve for 9 − 4 = 18?
Step-by-step explanation:
bring the 4 to 18 which will give you 22.
Next you divide them by 9.
The answer you get is it
Susan drove 385 miles in 7 hours.
At the same rate, how long would it take her to drive 605 miles?
Answer:
11hrs.
ur hawt
A person can spend at most $12 on corn oil and cereal. A bottle of corn oil costs $3 and a box of cereal costs $2. Identify the inequality and the graph that describe the situation where x is the number of bottles of corn oil and y is the number of boxes of cereal.
Natalie bought 10 pizzas for a party. When the party was over, she noticed 1/5 of the
pizza was gone. How much pizza did everyone eat at the party?
Answer:
8 pizzas
Step-by-step explanation:
If 1/5 was remaining, the hoard consumed 4/5 of all the pizza.
(4/5)*(10 pizzas) = 8 pizzas
Answer:
2 pizzas
Step-by-step explanation:
[tex]\frac{10}{1}[/tex]*[tex]\frac{1}{5}[/tex]=[tex]\frac{10}{5}[/tex]
then divided 5 by 10 and it equals 2 pizzas.
Hi, any help is appreciated.
Answer:
x=25
Step-by-step explanation:
125+30= 155
180-155=25
180 is the overall total of the line so the angels will add up to 180
Answer:
x = 25°
Step-by-step explanation:
angle of st line is 180°
125+30+x = 180
155+x=180
x = 25°
Complete the statements to solve for x. By the converse of the side-splitter theorem, if JK/KL = , then KM ∥ JN. Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x 4 EndFraction. Cross-multiply: (x – 5)( ) = x(x – 3). Distribute: x(x) x(4) – 5(x) – 5(4) = x(x) x(–3). Multiply and simplify: x2 – x – = x2 – 3x. Solve for x: x =.
The value of x is 10.
GivenBy the converse of the side-splitter theorem;
If [tex]\rm \dfrac{JK}{KL}[/tex] then, KM||JN.
What is the side-splitter theorem?If a line is parallel to one side of the triangle and intersects the other 2 sides, it divides the sides proportionally.
If a line is drawn parallel to one side of the triangle, then it divides the other two sides in the same ratio.
KM || JN
[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\[/tex]
Where JK = x-5, KL = x-3, NM = x, and KL = x+4.
Substitute all the values in the equation
[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\ \dfrac{x-5}{x-3} = \dfrac{x}{x+4}\\\\(x-5) (x+4) = x(x-3)\\\\x^2+4x-5x-20 = x^2-3x\\\\x^2-x-20-x^2+3x=0\\\\2x-20=0\\\\2x = 20\\\\x = \dfrac{20}{2}\\\\x=10[/tex]
Hence, the value of x is 10.
To know more about the side-splitter theorem click the link given below.
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Answer:
NM/ML
x+4
20
10
Step-by-step explanation:
just did it
-edge 2022
Please help
Which expression is equivalent to (3w-8)-4(2w+3)?
A. 11w+4
B. -5w-5
C. -5w+4
D. -5w-20
Answer:
-5w-20 is equivalent to (3w-8)-4 (2w+3)
Jada has 1¾ gallons of juice. She wants to fill 3 pitchers, which each hold 2/3 gallon. Does she have enough juice to fill all 3 pitchers?
100 Points
what percentage of 205 is 54? can you also show your work
Answer:
the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26
Step-by-step explanation:
we convert 54/205 into a percentage
Answer:
x = 26.34%
Step-by-step explanation:
Let the percentage be x:
205 * x% = 54
x% = 54 ÷ 205
x% = [tex]\frac{54}{205}[/tex]
[tex]\frac{x}{100}[/tex] = [tex]\frac{54}{205}[/tex]
x = [tex]\frac{54*100}{205}[/tex]
x = [tex]\frac{5400}{205}[/tex]
x = 26.34146341%
x = 26.34%
. Carrie sent 190 total text messages in the first
five days of May. If text messages cost 4¢
each, much should she expect to pay that
month?
Answer:
760 ¢
Step-by-step explanation:
190 multiplied by 4 is 760
Question 3
In the diagram, m ll n. Identify all of the angles that are congruent to <2.
A. <3, <6, <7
B. <1, <7, <8
C. <1, <3, <4
D. <4, <6, <8
40 points and brainliest to the best correct answer, questions in photo.
Please do and explain numbers 2, 4, 6, and 8, thank you.
Answer:
2. w = -3
4. c = -2
6. r = 7
8. n = 4
Step-by-step explanation:
It's hard to read the photo, but I'll try.
2.
[tex] 2^{w + 4} \times 2^{4w + 6} = 2^{2w + 1} [/tex]
On the left side, you have a product of 2 powers with the same base.
Give the same base and add the exponents, as in the rule
[tex] a^m \times a^n = a^{m + n} [/tex]
You get on the left side 2 to the sum of the exponents.
[tex] 2^{w + 4 + 4w + 6} = 2^{2w + 1} [/tex]
Simplify the long exponent on the left side.
[tex] 2^{5w + 10} = 2^{2w + 1} [/tex]
Now we have another rule we can use. If two powers are equal, and their bases are equal, then the exponents must be equal.
Here, 2 to the power 5w + 10 equals 2 to the power 2w + 1. Since both bases are 2 and are equal, then the exponents must be equal.
5w + 10 = 2w + 1
Subtract 2w from both sides. Subtract 10 from both sides.
3w = -9
Divide both sides by 3.
w = -3
4.
[tex] \dfrac{1}{5} = 5^{2c + 3} [/tex]
We need to write the left side as a power of 5. Then we equate the exponents like we did in problem 2.
Recall the rule:
[tex] a^{-n} = \dfrac{1}{n} [/tex]
Apply this rule to the left side in reverse.
[tex] 5^{-1} = 5^{2c + 3} [/tex]
Now we have two powers that are equal, both having the same base, 5, so the exponents must be equal.
2c + 3 = -1
2c = -4
c = -2
6.
[tex] 216 = 6^{2r - 11} [/tex]
This is the same idea as problem 4. Write the left side as a power of 6.
[tex] 6^3 = 6^{2r - 11} [/tex]
[tex] 2r - 11 = 3 [/tex]
[tex] 2r = 14 [/tex]
[tex] r = 7 [/tex]
r = 7
8.
[tex] 4^{n} \times 4^{2n - 9} = 64 [/tex]
This problem is similar to problem 2.
[tex] 4^{n + 2n - 9} = 4^3 [/tex]
[tex] 4^{3n - 9} = 4^3 [/tex]
3n - 9 = 3
3n = 12
n = 4
$35,000 at 2% for 9 years. ending balance and interest
Answer:
[tex]Solution[/tex]
Here,
[tex]Principle(p)=$35000\\Rate(r)=2%\\\\Time(t)=9 years[/tex]
[tex]Now, Interest(I)=\frac{PTR}{100}[/tex]
[tex]=\frac{35000*2*9}{100}\\= $3600[/tex]
7) When Ernest Rutherford worked with radioactive decay of radium, he noticed it had a
half-life of 100 days. This means that whatever the amount of radium he has at the
beginning, in 100 days he'll have half of that amount. In one experiment, he starts with
320 mg of radium, and stores it for 40 days. How much radium will be left after the 40
days?
Using an exponential function, it is found that 242.5 mg of radium will be left after the 40 days.
What is an exponential function?The exponential function for the amount of a decaying substance is modeled by:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is of 100 days, hence:
[tex]A(100) = 0.5A(0)[/tex]
Which is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-100k}[/tex]
[tex]e^{-100k} = 0.5[/tex]
[tex]\ln{e^{-100k}} = \ln{0.5}[/tex]
[tex]-100k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{100}[/tex]
[tex]k = 0.0069314718[/tex]
Then, the equation is:
[tex]A(t) = A(0)e^{-0.0069314718t}[/tex]
He started with 320 mg of radium, hence [tex]A(0) = 320[/tex], and the equation is:
[tex]A(t) = 320e^{-0.0069314718t}[/tex]
After 40 days, the amount left is:
[tex]A(40) = 320e^{-0.0069314718(40)} = 242.5[/tex]
242.5 mg of radium will be left after the 40 days.
You can learn more about exponential functions at https://brainly.com/question/25537936
PLEASE CAN SOMEONE HELP ASAP!!!!!!!!
DUE BY 11:59 OMGGG
Answer:
A, C, F
Step-by-step explanation:
JK is proportional to PQ, so that would be 8/x. Then, JL is proportional to PR, which would be 10/5. So, the answer is: 8/x = 10/5
Then, C would also be correct as KL is proportional to QR, and JK is proportional to PQ.
Finally, F is correct as JK to KL is proportional to PQ to QR, as JK is proportional to PQ, and KL is proportional to QR.
what is the volume of this prism
Answer:
42
Step-by-step explanation:
The base of the prism is a rectangle 2 units by 3 units.
The height of the prism is 7 units.
volume = area of the base × height
volume = 2 × 3 × 7 cu units
volume = 42 cu units
Make
q
the subject of the formula 5(q + p) = 4 + 8p
Give your answer in its simplest form.
Answer:
5q+5p=4+8p
= 5q+5p-8p=4
= 5q-3p=4
NEED THIS NOW.
Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12
1
2
% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answer:
1053.7$
Step-by-step explanation:
750$ x 12%= 90
first year: 750 + 90 = 840
840$ x 12%= 100.8$
second year: 840+ 100.8= 940.8
940.8$ x 12%= 112.896
third year (now)= 940.8+ 112.896 = 1053.696$
clarissa earned 8$ for working 3 hours. how many hours will she have to work to earn 16$
Answer:
6 hours you're welcome owo
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip. What is the difference in price per passenger for a group of 16 versus a group of 10? $46. 25 $36. 25 $56. 25 $26. 25.
The difference in price per passenger for a group of 16 versus a group of 10 is $26.25.
Given
A group of friends chartered a deep-sea fishing boat out of Destin, FL.
The graph below represents the total cost, in dollars, of the trip as a function of the number of people going.
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip.
What is a linear equation?An equation between two variables that gives a straight line when plotted on a graph.
The group of 16 people would cost $2,500, so it would be $156.25 for each person.
The group of 10 people would cost 1,300 (I got this from going to 10 on the chart then following it up to the line), so it would be $130 per person.
Then, $156.25 - $130 = $26.25
Hence, the difference in price per passenger for a group of 16 versus a group of 10 is $26.25.
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