Answer: 14
Step-by-step explanation:
Given the sequence : 55 176 539 1628
Each number after the first is derived by multiplying by x and then adding y;
If x and y are > 0 and they are integers.
Taking 55 and 176:
176 = 55*x + y
539 = 176*x + y
55x + y = 176 - - - (1)
176x + y = 539 - - (2)
From (1) y = 176 - 55x
Substitute y = 176 - 55x into (2)
176x + 176 - 55x = 539
121x = 539 - 176
121x = 363
x = 363 / 121
x = 3
Put x = 3 in y = 176 - 55x
y = 176 - 55(3)
y = 176 - 165
y = 11
x = 3, y = 11
x + y = 3 + 11 = 14
what is 12/4 plus 18 as a fraction
Answer:
21
Step-by-step explanation:
12/4.+18
The lcm is 4.
12+4(18) all divided by 4
12+72=84
84/4=21
Answer:
[tex] \frac{84}{4} \: or \: 21[/tex]
Step-by-step explanation:
[tex] \frac{12}{4} + 18 = \frac{12}{4} + \frac{18}{1} = \frac{12 + 72}{4} = \frac{84}{4} \: or \: 21 [/tex]
Criss cross the fraction and you will get the answer.
Hope this helps ;) ❤❤❤
A square has an area of 157 square centimeters. The length of the square's sides would be between-
O 13 cm and 14 cm
O 14 cm and 15 cm
O 12 cm and 13 cm
11 cm and 12 cm
21+17·2−15+1 plz answer
Answer:
24.2 I think
Step-by-step explanation:
21
+ 17.2
38.2
- 15
23.2
+ 1
24.2
Answer: The answer is 39
Step-by-step explanation: You get this answer by following the PEMDAS stragey. You multiply 17 and 2 to get 34. Next, you add 21 adn 34 to get 55. Next, you subtract 15 from 55 to get 40. Finally, you subtract 1 from 40 and get 39.
Find the next item in the pattern.
Z, Y, X,...
Answer:
W
Explanation:
Answer:
W
In the pattern ,alphabets are arranged from the opposite direction.
BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. AA Similarity Postulate 6. AC AB = AD AE 6. Definition of Similar Triangles 7. AC = AB + BC, AD = AE + ED 7. ??? 8. AB + BC AB = AE + ED AE 8. Substitution 9. AB AB + BC AB = AE AE + ED AE 9. Addition 10. BC AB = ED AE 10. Subtraction Fill in the missing reason for the proof. A) Transitive Property B) Subtraction Property C) SSS Similarity Theorem D) Segment Addition Postulate
Answer:
The correct option is Segment Addition Postulate
Step-by-step explanation:
The segment addition postulate states that where there are two points on a line A and C and a third point B can only be located on the line segment AB if and only if the the distances between point A and point B as well as the distance between point B and point C satisfy the equation AB + BC = AC
Therefore, given that in the figure, the point B is in between point A and point C on segment AC then AB + BC
Similarly, AD = AE + ED.
Match the inequality with its symbolic form.
x>5
A number is larger than 5.
x 25
A number is below 5.
X35
A number is not less than 5.
*<5
A number is at most 5.
Answer/Step-by-step explanation:
The following inequalities can be translated and matched as follows:
1. A number is larger than 5:
Let that number be x. Numbers that are larger than 5 are 6, 7, 8 and so on. Therefore, the number that is larger is greater than 5. This can be represented in the symbolic form as:
x > 5
2. A number is below 5:
Numbers that are below 5 are 4, 3, 2 and so on. Therefore, we can say the number, x, is less than 5. This can be written in symbolic form as:
x < 5
3. A number is not less than 5:
A number that is not less than 5 could equal 5 or any other number that is larger than 5. Therefore, we can say the number, x, equals 5 or greater than 5. This can be written as:
x ≥ 5
4. A number is at most 5:
At most 5, means the number, x, is either 5 or less than 5. This can be written as:
x ≤ 5
just copy off of the picture :)
Solve for q. |q+8|≥2 Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.
Answer:
-6≤q≤-10Step-by-step explanation:
Given the inequality |q+8|≥2, we are to solve for q. Note that the function inside modulus sign will return both negative and positive value.
For the positive function:
q+8≥2
Subtract 8 from both sides of the inequality.
q+8-8≥2-8
q ≥ -6
For the negative function;
-(q+8)≥2
open the parenthesis
-q-8≥2
add 8 to both sides
-q-8+8≥2+8
-q≥10
Multiply both sides by -1. Note that multiplying both sides of an inequality changes the direction of the inequality sign.
q≤-10
Combining both results i.e q ≥ -6 and q≤-10
q ≥ -6 can also be written as -6≤q
Combining -6≤q with q≤-10, this will give -6≤q≤-10.
Hence the result of the inequality function given is -6≤q≤-10.
Jacob is a construction
worker who earns a yearly income given by the expression 2000x + 4000, where X is the number of hours
he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3500x - 40000. A manager
predicts that if Carlos and jacob each work 35 hours, they will earn the same amount of money,
Answer:
The manager's prediction is false
Step-by-step explanation:
Given
Jacob: 2000x + 4000
Carlos: 3500x - 40000
Required
Determine if both expression will be the same if x = 35
To do this;
Equate both expressions and then solve for x
i.e.
[tex]2000x + 4000 = 3500x - 40000[/tex]
Collect Like Terms
[tex]2000x - 3500x = -4000 - 40000[/tex]
[tex]-1500x = -44000[/tex]
Divide both sides by -1500
[tex]\frac{-1500x}{-1500} = \frac{-44000}{-1500}[/tex]
[tex]x = \frac{-44000}{-1500}[/tex]
[tex]x - 29.3[/tex]
Hence, the manager's prediction is not true because [tex]x \neq 35[/tex]
you have 5814 meters of rope that you need to cut into 27 meters sections. How many 27 meter section of rope will you be able to create, and how much rope will be left over as waste?
Answer:
215 sections of 27 meters of rope will be created and 9 meters will be left as waste
Step-by-step explanation:
A rope that is 5814 meters long needs to be cut into 27 sections
The number of 27 meter sections of rope that can be created can be calculated by dividing 5814 by 27
= 5814/27
= 215 remainder 9
Hence 215 sections of rope will be created and 9 meters of rope will be left as waste
4C + 5 does not equal 0 and C is a real number what is the multiplicative inverse of 4C + 5
Answer:
1/ ( 4c+5)
Step-by-step explanation:
To be a multiplicative inverse, they multiply to 1
Let x be the multiplicative inverse
(4c+5) * x = 1
Divide each side by (4c+5)
x = 1/ ( 4c+5)
Your answer 5. You earn $9.65 per hour. This week, you earned $308.80 before taxes. Write and solve an equation to find the number of hours you worked this week.
$9.65 per hour
$308.80 before taxes this week
308.80/9.65 = 32 hours this week
The number of hours is 32 hours
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.
Cost = $9.65 per hour
$308.80 before taxes this week
Number of hours
=308.80/9.65
= 32 hours this week
Learn more about equation here:
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Write an algebraic expression for 3 times the difference of -4 times q minus 10
Answer:
3*(-4*q-10)
Step-by-step explanation:
You poured 3/4 cup of water in a measuring cup recipe indicates that you only need 2/3 cup how much water should you pour out
Answer:
you need to pour out 1/12 of the water.
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{2}{3}[/tex]
you need to find like denominators
[tex]\frac{9}{12} -\frac{8}{12 }[/tex]
Now subtract
[tex]\frac{1}{12}[/tex]
Help I’m being timed!!!!!!
Answer: dark blue
8 for a cd and start with $15
Step-by-step explanation: Here, notice that the value that we
don't know is how many CDs are purchased.
Since CD's cost $8, we multiply 8 by our variable, which is x.
So we have 8 times x or 8x.
In addition, since there is a one time fee
of $15 to begin, we add 15 to 8x.
So we have 8x + 15.
Is 9 a prime or composite number?
Answer:
Composite
Step-by-step explanation:
A whole number that can be divided exactly by numbers other than 1 or itself. Example: 9 can be divided exactly by 3 (as well as 1 and 9), so 9 is a composite number
Simplify
23 + (8-5) * 4 - 52
the final answer is -17
Answer:
-17
Step-by-step explanation:
23+(8-5)*4-52
1. Solve parentheses- 8-5=3 so 23+3*4-52
2. Then do multiplication- 3*4=12, 23+12-52
3. Then add or subtract but go left to right23+12=35 35-52
4. Subtract, 35-52=-17 -17
How is the intersection point of two linear functions related to solving
a linear equation?
Answer:
Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.
Step-by-step explanation:
If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as
[tex]f(x)=g(x)=y[/tex]
On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.
After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.
Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.
find the length of the missing side of the right triangle.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13 \: \: units \: }}}}}[/tex]
Step-by-step explanation:
Perpendicular ( p ) = 5
Base ( b ) = 12
Hypotenuse ( h ) = ?
Finding the length of missing side
Using Pythagoras theorem
[tex] \boxed{ \sf{ {h}^{2} = { p}^{2} + {b}^{2} }}[/tex]
plug the values
⇒[tex] \sf{ {h}^{2} = {5}^{2} + {12}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{ {h}^{2} = 25 + 144}[/tex]
Add the numbers : 25 and 144
⇒[tex] \sf{ {h}^{2} = 169}[/tex]
Squaring on both sides
⇒[tex] \sf{ \sqrt{ {h}^{2} } = \sqrt{169}} [/tex]
Calculate
⇒[tex] \sf{ {h} = 13 \: units}[/tex]
Hope I helped!
Best regards! :D
The distance along a straight road is measured as shown in the diagram below. If the distance between towns A and C is 67 miles, find the
distance between towns A and B. Homework Help
5x-2
2.x+6
Answer:
please re explain your question
A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C, of belonging to the gym for m months? A. C = 25m – 75 B. C = 25m + 75 C. C = 75m + 25 D. C = 75m – 25
Answer:
C = 75 + 25m
Step-by-step explanation:
The one time fee is 75 and membership dues are 25 per month.
This corresponds to C = 75 + 25m because the one time fee is 75 and each month you pay 25.
Solve 2x^2+x=15. Please
Answer:
x=(5/2,-3)
Step-by-step explanation:
2x²+x=15
2x²+x-15=0
(2x-5)(x+3)=0
x=(5/2,-3)
Solve . What is the value of x? There is no real number solution for x.
Answer:
There is no problem.
Step-by-step explanation:
Answer:
1/6 on ed
Step-by-step explanation:
A rectangular block of land is 6 m long and 3 m wide. A fence is to be constructed around the perimeter. What is the length of the fence?
Answer:
18
Step-by-step explanation:
6+6+3+3=18
Please Brainliest!!!
You earn $28 for washing 7 cars. How much do you earn for washing 6 cars?
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Since you can earn 28 dollars by washing 7 cars, and you want to find the amount money you can make by washing 6 cars.
[tex]\frac{28}{7} = \frac{x}{6}[/tex]
First, you should find the amount of money you can make by washing 1 car (unit rate).
[tex]\frac{28}{7} = \frac{x}{1}[/tex]
To get from 7 to 1, you have to divide 7 by 7; 7 ÷ 7 = 1.
Do the same thing to the numerator; 28 ÷ 7 = 4.
Now you know how much you make by washing 1 car, you need to find how much you make by washing 6 cars.
[tex]\frac{4}{1} = \frac{x}{6}[/tex]
To get from 1 to 6, you multiply by 6. 1 times 6 equals 6.
Now do the same thing to the numerator; 4 × 6 = 24.
You can earn 24 dollars by washing 6 cars.
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4(2x - 5)
14
simplified expression
Answer:
112x-280
Step-by-step explanation:
The angles of a triangle re 2y , 3y , and 4y ,find the value of y in degrees
Answer:
y = 20°
Step-by-step explanation:
[tex]Sum\:of\:angles\:in\:a\:triangle = 180\°\\\\2y\°+3y\°+4y\° =180\°\\\\Simplify\\9y\° = 180\°\\\\Divide \:both\:sides\:of\:the\:equation\:by\:9\\\frac{9y}{9} = \frac{180\°}{9} \\y = 20\°[/tex]
are the expressions 2(3x - 6) and 2(3x)x - 6 are equivalent
Answer:
No
Step-by-step explanation:
So lets do the first expression first
2(3x-6)
6x-6
So the first one is 6x-6
Now the second expression
2(3x)x-6
As you can see here, there's an extra x in this problem compared to the last problem, but lets still work it out
6x*x-6
So they are different.
If the extra x wasn't there then it would've worked.
Tell me if this helped
12 snakes have how many eyes altogether?
Answer:
24
Step-by-step explanation:
12 * 2 = 24
Function Operations
Simplify the following algebraic expression:
- 3n(-n+4) - n(3 +7n)
Answer:
The expression simplified
Answer:
-4n^2 + -15n
Step-by-step explanation:
-3n(-n + 4) - n(3 + 7n)
= -3n * -n + -3n * 4 + -n * 3 + -n * 7n
= 3n^2 + -12n + -3n + -7n^2
= -4n^2 + -15n
Cheers.