.
[tex]the \: value \: of \: x \: is \: - 1. \\ the \: value \: of \: y \: is \: 4 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
What is the product of 8/9 and 2/7
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63
The Answer is: 16/63
You just multiply 8/9 & 16/63
I need help with this, please. Any advice would be appreciated.
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
Answer:
125
Step-by-step explanation:
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?
Answer:
[tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]
Reason: the sum of all interior angles of any triangle is equal to 180º.
Step-by-step explanation:
1) Organizing
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:
[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]
3) We can also say
[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]
Similarly to the other triangle:
[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]
4) Hence,
[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]
Reason: The sum of interior angles is equal to 180º.
Answer:
B
Step-by-step explanation:
√10·√8 is this equal to the √80?
Answer: yes
Step-by-step explanation:
They are both equal to 4/5
Add.
5x^2- 5x+1
2x^2+9x-6
Answer: C. 7x^2+4x-5
Step-by-step explanation:
Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.
Which point represents 2 and one-fourth on the graph?
A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4.
Point A
Point C
Point D
Point E
Answer:
point c
Step-by-step explanation:hope it helps
Which point represents 2 1/4 on the graph?
B: Point C
What’s this problem
Answer:
use FOIL- Firsts Outsides Insides Lasts
Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answerFor every 4 girls in mr hegarty class there are 5 boys. what is the ratio of boys to girls in the class? Give answer in simplest form.
Answer: 4:5
Step-by-step explanation:
Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
Learn more about BODMAS rule here:
https://brainly.com/question/29795897
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answer to the question
Answer:
$2916.00
Step-by-step explanation:
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3 times the volume of the cone then what is the height of the cylinder. Plsss help fast
Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
2⁄6 + 4⁄8 + 3⁄4 = is what?
Answer:
2/6+4/8+3/4=19/12
(Decimal: 1.583333)
hope i helped
-lvr
Answer:
1 7/12
Step-by-step explanation:
2/6 + 4/8+3/4
Simplify the fractions
1/3 + 1/2 +3/4
The common denominator is 12
1/3*4/4 + 1/2 *6/6+ 3/4*3/3
4/12 + 6/12 +9/12
19/12
12/12 + 7/12
1 7/12
James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas
Answer:
40
Step-by-step explanation:
90/8=11.25 (1 flapjack)
11.25x40=450
21 ≤ 3 + 9x please help me solve the inequality
Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
To learn more about inequality visit:
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. It takes Serina 15 seconds to drive to school. Her route is 16,000 meters long. What is Serina’s average speed on her route?
[tex]answer \\ = 1066.67m / s \\ solution \\ distance \: travelled = 16000 \: m \\ time \: taken = 15 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16000}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 1066.67 \: m/s \\ hope \: it \: helps[/tex]
Answer:
[tex] = 1,066.67m {s}^{ - 1} \\ [/tex]
Step-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{16000}{15} \\ = 1,066.67m {s}^{ - 1} [/tex]
hope this helps you
brainliest appreciated
good luck! have a nice day!
5x + 3 = 7x – 1
what is x
Answer:
First lets subtract 3 from both sides. That gives us 5x = 7x-4. Then lets move the -4 to the other side reversing the sign. 5x+4=7x. Now lets subtract 5x from both sides. That will give us 2x = 4. Now all we need to do as a last step is divide by 2. That will give us x = 2. That is how you solve it in a nutshell
brainliest?
I hope you liked my answer!
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
C
Step-by-step explanation:
Since the graph hits 0 at x = 0, your y intercept is 0.
The graph is decreasing which means you have a negative slope.
They gave you a coordinate so use it to find the slope.
[tex]\frac{1-0}{-3-0} = \frac{-1}{3}[/tex]
That's your slope.
C is the correct answer.
y=-1/3x
mark brianliest if my answer suits ur question.
How many angles does a nonagon have?
Answer:
9
Step-by-step explanation:
There are nine angles in a nonagon.
Given that a = (1), b = (2) and c = (0)
2-122
Find :
1. a + b
2. a - b
3. a-c
4. a + c
5. a + b + c
6. a-b-c
7. c-a
8. b-a
9. b + c
10. C - b
Step-by-step explanation:
1+2=31-2=-11-0=11+0=11+2+0=31-2-0=-10-1=-12-1=12+0=20-2= -2what are the solutions of x^2-4x-9=29
Answer: x =(4-√168)/2=2-√ 42 = -4.481
x =(4+√168)/2=2+√ 42 = 8.481
Step-by-step explanation:
Answer:
x = -4.48, 8.48 to the nearest hundredth.
Step-by-step explanation:
x^2 - 4x - 9 = 29
Completing the square:
(x - 2)^2 - 4 - 9 = 29
(x - 2)^2 = 29 + 13 = 42
x - 2 = +/-√42
x = 2 +/-√42
x = 8.48, -4.48 .
What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?
Answer:
3n-5=8n+4
Step-by-step explanation:
For questions 1 - 2, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. Y=- cosx 2. Y = sin x+1
Answer:
See attachment.
Step-by-step explanation:
See attachments.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
factorize p^2+pq-pqr
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2+pq-pqr
Factor out a p
p(p+q-qr)
Answer:
p(p+q-qr)
Step-by-step explanation:
p^2 +pq-pqr
= p(p+q-qr)
Element X decays radioactively with a half life of 12 minutes. If there are 760 grams of element X, how long, to the nearest tenth a minute, would it take the element to decay to 15 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]
[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]
[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]
Therefore the mass of the element is given by:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]
If the initial mass is 760 g and the final mass is 15 g, we have:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]
The time it'd take for the element to have 15 g of mass is approximately 68 min.
f function g has the factors (x − 7) and (x + 6), what are the zeros of function g?
A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6
Answer:
B
Step-by-step explanation:
Need Help. Order of operation 1/35 * 1/22 I get a different answer
Answer:
[tex]\frac{1}{770}[/tex]
Step-by-step explanation:
[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]
Answer:
1 / 770.
Step-by-step explanation:
1/35 * 1/22
= 1*1 / 35*22
= 1 / 770.
Rahul was given 32 problems for home work. He has worked out . $ of them on Monday and . % of them on Tuesday . Find the number of problems left unsolved.
Answer: **Incomplete question**
Step-by-step explanation: Your question is incomplete, and missing very important details. However I would attempt to use assumed values in place of the omitted ones so that after explaining, it would be pretty much easy to figure out the solution.
If Rahul was given a total of 32 questions and he has worked out for example 25% of them on Monday and then 50% of them on Tuesday, to find the number of problems left, we would need to find the number of questions represented by the percentage indicated.
If he has worked out 25% of them on Monday, then that means he had done the following
Percentage done = 25% (or 25/100 which equals 0.25)
Number of problems solved = 32 * 25%
Number of problems solved = 32 * 0.25
Number of problems solved = 8
Further he solved 50% of them on Tuesday
Percentage done = 50% (or 50/100 which equals 0.50)
Number of problems solved = 32 * 50%
Number of problems solved = 32 * 0.5
Number of problems solved = 16
This means he has now solved a total of
8 + 16 = 24
If therefore he has solved 24 problems, then the number of problems left is derived simply as
Unsolved problems = 32 - 24
Unsolved problems = 8
Please remember that the use of 25% and 50% are simply assumptions in order to make explaining the solution easier. Please insert the correct values of the percentage as appropriate.
When you use the distance formula you are calculating the length of the _____ of a right triangle
Answer:
hypotenuse
Step-by-step explanation:
When you use the distance formula you are calculating the length of the hypotenuse of a right triangle.
When using the distance formula, you are making a right triangle whose hypotenuse connects two given points.
Answer: The blank would be hypotenuse if I’m not mistaken!
Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!
No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.