Translating the word problem into algebraic equation, the number is determined as: x = 18.
Representing World Problem with Algebraic EquationsThe unknown number is always denoted with a variable (alphabet).Phrases can be translated into algebraic equations using operation signs and variables.Thus, translate the problem given into algebraic equation:
Let the unknown number be x.
"2 less than x" is x - 2
"6 more than x" is x + 6
Thus, if their ratio gives 2 to 3, therefore, the equation would be:
(x - 2)/(x + 6) = 2/3
Cross multiply to find x3(x - 2) = 2(x + 6)
3x - 6 = 2x + 12
3x - 2x = 6 + 12
x = 18
Thus, translating the word problem into algebraic equation, the number is determined as: x = 18.
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The sign of the leading coefficient for the polynomial equation of the graph is . This graph has turning point(s). Possible degrees for this graph include: 4 5 6 7
Answer:
negative
1
4,6
Step-by-step explanation:
Answer:
A&C
Step-by-step explanation:
Anyone wanna help out?? <33
Answer:
U have selected the correct answer..... Option 3rd is the correct
Answer:
you're correct babe <3 (im normally like this pls don't get creeped out, i have a flirty personality and am a minor) also are you in 3rd grade- i learned that back then
Step-by-step explanation:
[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]
help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation:
Urgent please help..
What do you call the numbers that have fixed value?
Answer:
The numbers which have definite value is known as constant. The numbers which don't have a definite value is known as variables.
Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
X = 3y + 4
pls hurry
Answer:
x-4/3
Step-by-step explanation:
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
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solve for x= 9/36=x/48 please helppp :(
Answer:
x=1/4
Step-by-step explanation:
Solve for x
by simplifying both sides of the equation, then isolating the variable.
x=12
Step-by-step explanation: i think its right
What is the answer to this?
Answer:
7= -3c - 2
7+2= -3
9= -3c
c=9/-3
c= -3
What is the starting point of the quadratic function defined by y=-2x2-25x+10?
Step-by-step explanation:
y=-2x²-25x+10
=x²+25/2x-5
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
If I roll a 6 sided dice,what is the probability of it landing on number 2?
Answer:
1 out of 6 chance or 1/6
Step-by-step explanation:
There are 60 seventh-grade students in William's school. The students need to choose someone to wear the mascot costume on field day. Huey and Sal are texting about it. Huey: We can give everyone a number from 1 to 60. The we can roll 10 number cubes and add it to the results. The person whose number is equal to the sum wears the costume. Sal: That doesnt seem fair how about this? Everyone gets a number from 0 to 59. Put blocks numbered 0 to 5 in a bag. In another bag, put blocks numbered 0 to 9. Pick a block from the first bag for the tens digit and a block from the second bag for the ones digit. A. Is Huey's plan unfair as Sal claims? If so, why is it unfair? B. Is Sal's plan fair or unfair? Explain your answer. HURRY ANSWERING THIS PLS THIS THING DUE BEFORE 11:59PM
Answer:
Step-by-step explanation:
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What is the median of this data set?
Answer:
The median is 2
Step-by-step explanation:
The middle number of the data set(highlighted dots) is 2.
Hope this helps!
:)
-x^2+2x-9=0 find the discriminant
Answer:
- 32
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 ), then
the discriminant is
Δ = b² - 4ac
- x² + 2x - 9 = 0 ← is in standard form
with a = - 1, b = 2, c = - 9 , so
b² - 4ac
= 2² - (4 × - 1 × - 9)
= 4 - (36)
= - 32
I am unsure on how to solve x
Answer:
180-165= 15
(They tried to throw you off with the second line)
Answer is 15 degrees
Eleman sayısı 2 arttırıldığında alt küme sayısı 24 artan bir kümenin eleman sayısı kaçtır
Answer:
What?
Step-by-step explanation:
Please hurry I need the answer like now, but I am confused. Your supposed to solve for x.
Answer:
0.08
Step-by-step explanation:
Answer:
0.8=x
Step-by-step explanation:
4x+8=7.2+5x
Subtract 4x from both sides of the equation. This eliminates 4x from one side of the equation and leaves the other side with just 1x or x.
8=7.2+xSubtract 7.2 from both sides of the equation to isolate x.
0.8=xSo this concludes that 0.8=x
To check your answer, substitute 0.8 into x.
4(0.8)+8=7.2+5(0.8)3.2+8=7.2+411.2=11.2A number cube is rolled and a letter is selected from the word PENGUIN.
P(an even number and N)
A. 1/7
B. 2/9
C. 4/15
D. 1/14
Use trigonometric identities to simplify each expression.
1/cot^2 (x) - 1/cos^2(x)
Answer:
- 1
Step-by-step explanation:
[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]
[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]
Hope that helps!
By using trigonometric identities, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
What are trigonometric identities?"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."
Given expression
[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
We know the trigonometric identity
[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]
= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]
= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]
We know the trigonometric identity
[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]
= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]
= -1
Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
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A local council is concerned that there are too many students for staff to look after in schools. There are 18 staff and 225 students in school A. a Write the staff : student ratio in the form 1 : n.
you have to find a number they are both divisible by to get it to simplest form. 18:225.
divide both by 3. 6:75.
you can divide it by 3 again.
answer: 2:25
The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of 1 : n is given as 225 / 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The number of staff in the school = 18
And, the number of students in the school = 225
Since, the ratio of two numbers a and b is given as a : b = a / b.
In the form of 1 : n it can be written as, a : b = 1 / (b / a).
Similarly, the ratio of staff and students n the form of 1 : n can be written as,
Staff : Students = 18 : 225
=> Staff : Students = 1 / (18 / 225)
=> Staff : Students = 225 / 18.
Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.
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The diagram shows a prism.
The cross section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 8 cm, 15 cm and 17 cm.
The length of the prism is 20 cm.
Work out the total surface area of the prism.
Diagram NOT
accurately drawn
8 cm
17 cm
20 cm
15 cm
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
Sandy and Brett are painting a house. Sandy painted 1/10 of the house and Brett painted 4/9 of the house. To estimate how much more Brett painted than Sandy, which statement is true?
Answer:
A.1/10 is close to 0, and 4/9 is close to 1/2.
Step-by-step explanation:
Sandy and Brett are painting a house. Sandy painted 1/10 of the house and Brett painted 4/9 of the house. To estimate how much more Brett painted than Sandy, which statement is true?
To estimate how much more Brett painted than Sandy, which statement is true?
A.1/10 is close to 0, and 4/9 is close to 1/2.
B.1/10 is close to 1/2, and 4/9 is close to 1/2.
C.1/10 is close to 0, and 4/9 is close to 1.
D.1/10 is close to 12, and 4/9 is close to 1.
How much more Brett painted than Sandy is calculated as:
The fraction Brett painted - Fraction Sandy painted
= 4/9 - 1/10
The Lowest Common Denominator = 90
Hencd:
= 4 × 10 - 1 × 9/90
= 40 - 9 /90
= 31/90
Therefore, we convert each fraction to decimal
1/10 = 0.1
4/9 = 0.444
Hence, the correct option is Option A
:))))))))))))))))
late hw help pls
Answer:
16 miles
Step-by-step explanation:
If 1.5 inches is equal to 4 miles, it would also mean that 3 inches is equivalent to 8 miles, since 4*2=8 and 1.5*2=3. Since we need to find it for 6 inches, we just double the number again to get 6 inches = 16 miles. (3*2=6; 8*2=16)
Jeremy wants to build a cage for his rabbits. The pet store suggests he build a cage in the shape of a rectangular prism with a floor space of at least 1,080 in.2 and a surface area of no more than 4,272 in.2. Which measurements could Jeremy use for his cage?
Answer:
Step-by-step explanation:
Azmol, Ryan and Kim each played a game.
Azmol’s score was four times Ryan’s score.
Kim’s score was half of Azmol’s score.
Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.
Answer:
4 : 1 : 2
Step-by-step explanation:
Let Ryan's score be x.. Azmol's score is four times Ryan's. Therefore, let Azmol's score be 4x. Kim's score is half of Azmol's that's 4/2 making 2. Thus implies that Kim's score is 2x.
The ratio therefore 4 : 1 : 2
Evaluation the expression
Answer:3b+10
Explanation:Distribution:5(b+2)-2b
5b+10b-2b
Combine like terms:5b+10b-2b
=3b+10
Answer:
3b+10
Step-by-step explanation: