Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
= x + (3x + 9) + (x + 9)
= x + 3x + 9 + x + 9
= 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.
70 pointsss for the correct answer
When the function f(x) is divided by 4x−5, the quotient is 3x^2 −x+3 and the remainder is −2. Find the function f(x) and write the result in standard form.
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
[tex]\ \ \ \ \ \ \ \ \ \ 3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\ \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R[/tex]
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
How do you find the value of 35(10)? Find the answer.
To find the value, you will need to use the Order of Operations (PEMDAS).
[[[Content deleted]]]
Step-by-step explanation:
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45°
30°
N
17
I need help pls
Answer:
x=29.4
Step-by-step explanation:
To help find the sides of a triangle, I use SOHCAHTOA.
SOH - CAH - TOA
S=O/H ([tex]Sine=\frac{opposite}{hypotenuse}[/tex] )
C=A/H ([tex]Cosine=\frac{adjacent}{hypotenuse}[/tex] )
T=O/A ([tex]Tangent =\frac{opposite}{adjacent}[/tex] )
Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.
So it would be tangent (tan).
opposite = 17
adjacent = 30°
Plug these numbers into the calculator and you should get your answer.
[tex]\frac{17}{tan(30)} = 29.44486372...[/tex]
x=29.4
Try to do y on your own and let me know if you have any questions!
Also correct me if I'm wrong on anything.
Hope this information helps!
Plssss help———What is an exponent and how do you solve it? 4-5 sentences :)
Answer:
[tex] {5 }^{2} [/tex]
that is an exponent
Step-by-step explanation:
an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125
what is .16 divided by .03220
0.16÷0.3220=0.49689440993
giving brainliest
Find the area of the composite figure below.
8. Jill bought a soda for $3 and eight candy bars. She spent a total of $43.
Answer:$5.00
Step-by-step explanation:
Let c = the cost of each candy bar
3 + 8c = 43
8c = 40
c = $5.00
Answer:
each candy bar costs 5 dollars
Step-by-step explanation:
43-3=50 and 40÷8=5
PLEASE HELP !!!!!!!! Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!
Can you guys help me
Answer:
The area of triangle VZX is 210 cm^2
Step-by-step explanation:
Here, we want to get the measure of the area of triangle VZX
From the given diagram, we have two explicit triangles making up triangle VWX
These are triangles VWZ and VZX
By adding the areas of both triangles, we can get the area of VWX
Mathematically, the area of VZX is the difference between the area of VWX and VZW
To get the area of VZW, we can use the formula for the area of a triangle
We have this as 1/2 * base * height
base = 35 cm and height = 28 cm
The area of VWZ is 1/2 * 35 * 28 = 490 cm^2
The area of triangle VZX is thus;
700 cm^2 - 490 cm^2 = 210 cm^2
Which are vertical angles?
AngleAFE and AngleBFD
AngleBFC and AngleDFE
AngleAFE and AngleCFD
AngleBFC and AngleEFA
Answer:
Its A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
IM doing the test
how many cups of each were sold
Answer:
how many cups of what were sold
Step-by-step explanation:
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PLEASE HELP ILL GIVE BRAINLYIST
In the first year of an annual 5k run there were 120 participants. In the 2nd and 3rd year of the 5k run, there were 180 and 270 participants respectively. Write the function to best represent the scenario.
Find the size of angle X.
Answer:
Because the sum of the interior angles of a triangle is 180,
X=180-(65+35)
X=180-100=80
A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.
The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x
What is meant by equation?There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
Various kinds of equations: Algebraic math equations include the following.
Equation with Lines;
More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
Equation in QuadratureThis equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic FormulaA third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2
Given ,
tank 1 = 120 - 1/2x
tank 2 =100 - 1/4x
Therefore 120-1/2x = 100-1/4x
So we can conclude that the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x
The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.
120x + 1/2 = 100x + 1/4
120 + 1/2x = 100 + 1/4x
120x - 1/2 = 100x - 1/4
120 - 1/2x = 100 - 1/4x
To learn more about equation refer to:
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A pancake recipe calls for 7 eggs and 35 cups of flour. How many cups of flour would you need for a single egg?
Answer:
Imao 5
Step-by-step explanation:
just divide
Answer:
5 cups.
Step-by-step explanation:
The egg to flour ratio is 7:35
If you narrow it down, it is 1:5
You have to divide it.
The perimeter of a rectangle is 94 inches and the length is 6 inches what is the width of the rectangle?round to the nearest tenth if necessary
Answer:
Width is 41 inches
Step-by-step explanation:
Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides
what is (2m+8y)+(4+9m)+(-2 -3
on Encircle the letter of the correct answer.
1. What is the abbreviation of pint?
2. What is the abbreviation of quart?
b.pt
c. pn
b.pt
C. ut
3. What is the equivalent of 2 teaspoons into ml?
b. 20ml
b. 15ml
c. 10ml
c. 9
4. What is the equivalent of 1 Tablespoon into teaspoon?
a. 3
b. 6
5. How many gallon in 4 quart?
b. 4
b. 3
6. How many gallon in 1 pint?
a. 1/2
b. 1/3
c. 1/4
7. How many ounces in 1 pound?
c. 2
b. 16
b. 10
8. How many dozen in 72 pieces?
c. 5
a: 1
c. 6
b. 3
9. How many fluid oz. in 1 cup?
b. 13
b. 10
10. What is the abbreviation of Pound?
c. 8
alb
b. ml
c. kg
what is the greatest common factor of 120 and 72 plus explaination?
Answer:
24
Step-by-step explanation:
24x3=72
24x5=120
about what percent of gyms in shanesville have fewer than 56 gym members
Answer:
25%
Step-by-step explanation:
About 25% of gyms in Shanesville have fewer than 56 gym members.
The correct answer is option (2).
What is interquartile range?"Interquartile range = Q3 - Q1"
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For this example,
Q1 = 56
Q2 (median) = 64
Q3 = 70
So, the interquartile range is,
⇒ 70 - 56 = 14
Let 'x' be the number of gyms in Shanesville have fewer than 56 gym members.
so, the percent of gyms in Shanesville have fewer than 56 gym members would be,
⇒ 14 / x = 56
⇒ x = 14 / 56
⇒ x = 1/4
⇒ x = 0.25
The percentage of 'x' would be,
⇒ 100 × 0.25 = 25 %
Therefore, about 25% of gyms in Shanesville have fewer than 56 gym members.
The correct answer is option (2).
Learn more about Interquartile range here: https://brainly.com/question/12963561
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Which of these statements are correct about two parallel lines in a coordinate plane? Select three that apply.
Answer:
I don't see any answer choices to choose from
Answer:
there is not options to answer
Step-by-step explanation:
Angela spent $48.00 on a sweatshirt, a hoagie, and 2 books. The sweatshirt cost $18.95, and the hoagie cost $7.25. The books cost the same amount. How much did each book cost? not addition
Members of a soccer team raised $1946.50 to go to a tournament. They rented a bus
for $974.50 and budgeted $60.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Answer:
d
Step-by-step explanation:
d
Equation: 60.75p + 974.5 = 1946.5
Answer: p = 16
Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.
Answer:
2 [tex]\frac{1}{20}[/tex]
Step-by-step explanation:
for question a)
It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)
to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.
E.g.
7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29
Thus, improper fraction would be [tex]\frac{29}{4}[/tex]
do same thing for other one
thus , [tex]\frac{26}{5}[/tex]
now,
[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]
however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)
[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]
convert back to mixed number
2 [tex]\frac{1}{20}[/tex]
Answer:
Step-by-step explanation:
a) Step1 : write in improper form
Step 2 : Find least common denominator
Step 3: Find equivalent fractions and then subtract
[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]
[tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]
b) Keep Change Flip method
[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]
[tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]
Please help with number 3 please due today
Which of the following isolates r correctly?
4r - 6 = 2(n + 3)
Answer:
r = 1/2n + 3
Step-by-step explanation:
Are there answer choices to choose from?
This is how you would isolate the r:
4r = 2n + 6 + 6 so 4r = 2n + 12
Solve for r by dividing both sides by 4 so r = 1/2n + 3
Answer:
-2=2n+6
2n=2-6
2n=-4
n=-2
PLZZ HELP find the area of the triangle QRS?
Answer:
180 is the answer
Step-by-step explanation:
Step-by-step explanation:
To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)
Then multiply 12 times 15 to find out the area
15 x 12= 180
what do you mean CDEF
and can I get brainliest?
I WILL DO ANYTHING JUST PLEASE
Answer:
95 0r 91
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
trust me
Find LCM of 45, 60 & 135
Pls need answers
Answer:
540
Step-by-step explanation:
The multiples of 45 are 9,3,3,1
The multiples of 60 are 12,4,2,1
The multiples of 135 are 27,9,9,9,3
Therefore the LCM can be calculated as follows
= 5×3×2×2×3×3
= 540
Hence the LCM is 540
please help!!
55% of students say chocolate is their favorite ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?
Answer:
160
Step-by-step explanation:
total = 100%
we know,
55 % of total = 88
or, 55/100 * total = 88
so total = 160