Answer:
7
Step-by-step explanation:
The greatest common factor is found by listing the factors of both numbers, then finding what the biggest number is that is common.
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The greatest common factor of 14 and 49 is 7.
To find the greatest common factor (GCF) of 14 and 49, we can determine the factors of both numbers and identify their largest common factor.
The factors of 14 are 1, 2, 7, and 14.
The factors of 49 are 1, 7, and 49.
The common factors of 14 and 49 are 1 and 7.
Since we are looking for the greatest common factor, we can conclude that the GCF of 14 and 49 is 7.
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Read the excerpt from Heart of a Samurai and then answer the question.
The strangers leaped out of their boats and pulled them up on the small beach. By signs, they made it clear the castaways should climb aboard.
The fishermen exchanged frightened glances and whispered to one another,
“What about Denzo and Jusuke?”
Gesturing, Manjiro communicated to the strangers about the two men in the cave. Denzo and Jusuke were retrieved, both of them so weak they had to be carried to the boats. Everyone found a place and the sailors shoved off. The two boats rowed away from the island toward an unknown future.
The sun flickered on the restless waves just as it always did. The wind blew just as steadily as it always had. Yet everything had changed. They had been rescued from the island, only to be taken captive by barbarians.
Manjiro stared at the strangers when he thought they weren’t looking. Sometimes he caught them staring at him when they thought he wasn’t looking.
What do the details in this excerpt help readers to infer about the barbarians?
A. They are just as mean and monstrous as the fishermen expect them to be.
B. They are suspicious creatures who seem to be from a place other than Earth.
C. They have a plan to humiliate the fishermen and are waiting for the right time.
D. They are just as curious about the fishermen as the fishermen are about them.
Answer:
D
Step-by-step explanation:
"Manjiro stared at the strangers when he thought they weren’t looking. Sometimes he caught them staring at him when they thought he wasn’t looking."
"The fishermen exchanged frightened glances and whispered to one another,"
What is the slope line through 1,-1 and 6,2
Answer:
[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1, -1) and (6, 2).
Substitute:
[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]
Which of the following tables represents a function
Answer:
d is the answer of the question
14+x = -9
X equals what?
Answer:
x=−23
Step-by-step explanation:
14+x=−9
Step 1: Simplify both sides of the equation.
x+14=−9
Step 2: Subtract 14 from both sides.
x+14−14=−9−14
x=−23
Answer:
-23
Step-by-step explanation:
14+x =-9
-14 -14
x = -23
A number is divided by 2. Then 4 is added to the quotient. Next, the sum of these numbers is multiplied by 3. The result is 21. Find the number.
I need the answer ASAP
Answer:
The number is 6.
Step-by-step explanation:
Work the question backwards.
21÷3=7
7-4=3
3×2=6
And if you need proof.
6÷2=3
3+4=7
7×3=21
Mark has 10 pens. Kate has 5 times as many pens as Mark. Which equation below answers how many pens Kate has?
Answer:
5m = k or 5(10) = k
Step-by-step explanation:
Let m represent Mark
Let k represent Kate
So, it is 5 times the amount that Mark has, so that is 5m = k
or just simply 5(10) = k
The pens that Kate has is equal to 50
What is an equation in math?In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given here, let mark has x= 10 pens and Kate has 5 times as many pens as Mark then kate would have 5x pens
therefore5x = 5×10
= 50 pens
Hence, The pens that Kate has is equal to 50
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Use the system of equations to answer the question.
x + y = 3
y = x - 5
What is the solution to the system of equations?
Answer:
the answer to the system of equation is (4, -1)
−3x−9y=−12
−3x+7y=4
solve for x
Answer:
[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]
Step - by - step explanation :
[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]
USING ELIMINATION METHOD :
[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )
[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )
Subtracting equation ( ii ) from ( i )
Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.
[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]
[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]
_____________________
➺ [tex] \sf{ - 16y = - 16}[/tex]
➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]
➺ [tex] \sf{y = 1}[/tex]
The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :
➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]
➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]
➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]
➺ [tex] \sf{ - 3x = - 3}[/tex]
➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]
➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]
Hence , the value of x is 1 .
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]
There are many methods to solve such simultaneous equations. They are :
Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
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Solve system of equations using elimination method :
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What is the substitution method ?
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HELPPPPPPPPPP this is due soon!
If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?
A. 3+√5
B. -3+√5
C. +√5/3
D. -√5+3
Answer: Its a
Step-by-step explanation:
The value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.
Quadratic equation :Given equation is,
[tex](x-3)^{2}=5[/tex]
We have to solve above quadratic equation.
Expand above equation first,
[tex](x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}[/tex]
Thus, the value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.
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The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price. What will you pay?
Answer:
$94.50
Step-by-step explanation:
150 x .30 = 45, so you can $45 off.
105 x .1 = 10.5 so you can take another $10.50 off.
The final price would be $94.50
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?
Answer:
12, 15, 18
Step-by-step explanation:
4+5+6 = 15
45/15 = 3
multiply 4 x 3 = 12
multiply 5x 3 = 15
multiply 6 x 3 = 18
Reflect shape A in the line y = x
What is the simplified expression for
-3x2 + 5x + 2 - 1 - 7x + 3x2
Answer:
-2x + 1
Step-by-step explanation:
1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2
2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)
3: 0 - 2x + 1
4: -2x + 1
Step 1: Given equation
Step 2: Group the terms with similar exponents together
Step 3: Add the terms together
Step 4: Simplify completely
Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain
Answer:
a)16.32 rounded to the nearest whole number is 16 feet per second? True
b) 16.32 rounded to the nearest tenth is 16.3.? True
c) 16.32 rounded to the nearest hundredth is 16.33. ? False
Step-by-step explanation:
Select True or False for each statement.
a) 16.32 rounded to the nearest whole number is 16 feet per second. ?
16.32 to nearest whole number = 16 feet per second. This statement above is true.
b) 16.32 rounded to the nearest tenth is 16.3. ?
The number in the tenth position is 3, the number after it is 2.
Hence, 16.32 to the nearest tenth = 16.3
Hence, the above statement is true.
c) 16.32 rounded to the nearest hundredth is 16.33. ?
The number in the hundredth position is 2. There is no number after 2.
Hence,
16.32 to the nearest hundredth is 16.32
Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.
Solve by using substitution
x=3y-1
x+2y=9
Answer:
x=3y−1x=3y-1
x+2y=9x+2y=9
Replace all occurrences of xx with 3y−13y-1 in each equation.
Tap for fewer steps...
Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.
(3y−1)+2y=9(3y-1)+2y=9
x=3y−1x=3y-1
Add 3y3y and 2y2y.
5y−1=95y-1=9
x=3y−1x=3y-1
Solve for yy in the first equation.
Tap for fewer steps...
Move all terms not containing yy to the right side of the equation.
Tap for fewer steps...
Add 11 to both sides of the equation.
5y=9+15y=9+1
x=3y−1x=3y-1
Add 99 and 11.
5y=105y=10
x=3y−1x=3y-1
Divide each term by 55 and simplify.
Tap for fewer steps...
Divide each term in 5y=105y=10 by 55.
5y5=1055y5=105
x=3y−1x=3y-1
Cancel the common factor of 55.
Tap for fewer steps...
Cancel the common factor.
5y5=1055y5=105
x=3y−1x=3y-1
Divide yy by 11.
x=5,y=2
Step-by-step explanation:
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The probability of getting a 6 is 4/5. The dice is rolled 500 times How many sixes would you expect to roll
Answer: 400
Step-by-step explanation:
From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.
The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled
= 4/5 × 500
= 400
There'll be 400 sixes.
John has a jar of between 500 and 600 coins that are all nickels, dimes and quarters. The ration of the number of quarters to dimes is 8 : 5 and the ratio of the number of dimes to the number of nickels is 6 : 11. What is the total value of the Money in john’s jar of coins?
Poooooooooooooooooooop
Write the ratio of ears to toes on an average person? (in simplest form)
type your answering using one of the following... (NO SPACES)
to
Answer:
1:5
Step-by-step explanation:
DivideByTwo
Conner had 354$ and spent 243 cents. How much did conner have left and how many dollars? please help. If you do, then I will tell you a secret.
Conner: $354 - 243 cents
243 cents = $2.43 because 100 cents = 1 dollar
Conner: $354 - $2.43 = $351.57
$351.57
He has 351 dollars left.
Answer:
354 - 243 = 111
Step-by-step explanation:
300 - 200 = 100
50 - 40 = 10
4 - 3 = 1
100 + 10 + 1 = 111
What is the Area of this irregular shape?dfgju i
Answer:
The area of the irregular shape is 20 square cm
Step-by-step explanation:
Area of an Irregular Shape
Some shapes do not have regular shapes like squares, circles, triangles, etc. where well-known formulas can be applied to calculate their areas.
We have to calculate the area of the shape provided in the figure. We have divided the shape into three rectangles (see figure below). The total area of the irregular shape is:
A = A1 + A2 + A3
The first rectangle has dimensions 2 cm by 1 cm, thus its area is:
A1 = 1 cm * 2 cm = 2 square cm
The second rectangle has dimensions 2 cm by 3 cm, thus its area is:
A2 = 2 cm * 3 cm = 6 square cm
The third rectangle has dimensions 3 cm by 4 cm, thus its area is:
A3 = 3 cm * 4 cm = 12 square cm
The total area is:
A = 2 square cm + 6 square cm + 12 square cm = 20 square cm
The area of the irregular shape is 20 square cm
Combine like terms : 2x+5x+10x
Answer: =17x
Step-by-step explanation: hope this help, hope you understand it too.
Let's simplify step-by-step.
2x+5x+10x
Combine Like Terms:
=2x+5x+10x
=(2x+5x+10x)
=17x
Solve for p.
21 + p = 44
Enter your answer in the box.
p=
Please help!
Answer:
p=23................
Answer:
p = 23
Step-by-step explanation:
the measure of ∠G is 82°. What is the measure of its compliment?
Answer:
First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.
Step-by-step explanation:
I need help solving this practice math problem
What is the difference between a system of equations and a system of inequalities?
(Pls help man it’s worth like 25 points im desperate because I have no brain)
Answer:
"The solution(s) of a system of linear equations give points of intersection of specific lines or planes. The solution(s) of a system of linear inequalities give areas of intersection wherein any specific pair of points or lines are solutions. PROCESS-WISE there are little differences between solving systems."
Step-by-step explanation:
www.algebra.com
find the length of the missing side. write your answer in simplest radical form!
Answer:
D
Step-by-step explanation:
10² + 14² = -17.20²
-17.20² = 2sqrt74
Answer:
C 296 ft
Step-by-step explanation:
hypotenuse^2 = side1^2 + side2^2
==> hypotenuse^2 = 10^2 + 14^2
==> hypotenuse^2 = 100 + 196
==> hypotenuse^2 = 296
==> hypotenuse = square root (296)
==> hypotenuse = 17.2046505
The length of the missing side = 296 in radical form
help find the value of x. please!
Answer:
c.4
Step-by-step explanation:
hope it helps ............
Please help!! I really need some help on these problems I will mark brainliest and thank you!
Answer:
1. 63
2. 33
Step-by-step explanation:
1. 8x3=24
24/2=12
1x6=6
6/2=3
6x8=42
12+3+42=63
2. 3x3=9
8x3=24
24+9=33
If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?
Answer:
There are 9838.5 feet in 3 kilometers.
Step-by-step explanation:
Given that:
There are 1.61 kilometer in a mile.
1 mile = 1.61 km
Also,
1 mile = 5280 feet
Comparing,
1.61 km = 5280 feet
1 km = [tex]\frac{5280}{1.61}[/tex] feet
1 km = 3279.50
3 km = 3279.50 * 3
3 kilometers = 9838.5 feet
Hence,
There are 9838.5 feet in 3 kilometers.
A distance of 3 kilometers is equal to 9,838.5 feet.
Given to us:
1 miles = 1.61 kilometers,
1 miles = 5,280 feet,
from the above to equations we can conclude,
[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]
So, now for 3 kilometers we can conclude that,
[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]
Hence, A distance of 3 kilometers is equal to 9,838.5 feet.
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Factor: -12n - 20 they are asking for an expression
Answer:
-4(3n+5)
Step-by-step explanation:
Factored -4 out of -12n-20. Let me know if this answers the question!