Answer:
We found the factors and prime factorization of 7 and 14. The biggest common factor number is the GCF number. So the greatest common factor 7 and 14 is 7.
Step-by-step explanation:
The value of the Expression 7+ 14 using the GCF is 21.
What is Greatest Common Factor?The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. The GCF of 18 and 24 is 2 * 3 = 6, which we multiply to obtain.
Given:
We have to add 7 + 14
Factorise the terms separately
7 = 7 x 1
14 = 7 x 2
So, the Greatest Common Factor is 7.
Thus, 7+ 14 = 7(1+ 2) = 7 x 3= 21
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x - y = -2
4x - y = 4
[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]
Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)Simply multiply the negative one in one of the equations.
[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]
We can finally eliminate the y-term by adding both equations.
[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]
Substitute the value of x in any given equations. I will substitute in the first equation.[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]
Check the answer by substituting the value of x and y in both equations.First Equation
[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Second Equation
[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Hence, the solution is (2,4).
Answer[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]
Coordinate Form
[tex](2,4)[/tex]
A $350 purchase is discounted 15%. You use a 20% coupon. What is the total paid?
Answer:
238 should be the answer
Step-by-step explanation:
Which is equivalent to 644 ?
6442
O 244
O 4
O 16
O 164/4
Answer:
I belive it would be A
Step-by-step explanation:
The equivalent of 64/4 is 16
How to determine the equivalent?The expression is given as:
64/4
Evaluate the quotient of 64 and 4 i.e. divide 64 by 4
64/4 = 16
Hence, the equivalent of 64/4 is 16
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I don't know how to do any of this
Answer:
Remember that when a variable is times with a number, you will divide it by that number which is times with variable on both sides.
when a variable is divided by the number, you will multiply it by that number on the both sides.
I hope you understand my explanation. Thank you !!
HELPPPP
Write a function that represents the balance after t years.
$2000 deposit that eams 5% annual interest compounded quarterly
Not sure if this is correct but:
Step-by-step explanation: P = 2000
R = 5% = 0.05
n = 4
y = 2000 ( 1 + [tex]\frac{0.05}{4}[/tex]) [tex]^{4t}[/tex] = 2000 ( 1.0125 )
Substitute values in the compound interest formula:
y = P ( 1 + [tex]\frac{r}{n}[/tex])[tex]^{nt}[/tex] .
Hope this helps..
Which of the following describes the number below?
A.
Rational Only
B.
Neither Rational nor Irrational
C.
Both Rational and Irrational
D.
Irrational Only
What is the approximate distance between point A (-8, 7) and point B (-2, 3)?
A. 3.6units
B. 7.2units
C. 52 units
D. 104units
Answer:
7.2units
Step-by-step explanation:
Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial. The perimeter of the triangle is (Simplify your answer.)
Answer:
(x+5)(3x+1)
Step-by-step explanation:
Add all the sides together to get perimeter.
Then Factor once you are done adding.
You answer is (x+5)(3x+1)
The perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)
Perimeter of a triangleThe perimeter of a triangle is the sum of all the sides of the triangle.
According to the figure shown, the perimeter of the shape is given as:
P = 2x²+1 + 4x+4 + x²+12x
P =3x² + 16x + 5
Factorize
P =3x² + 15x + x+ 5
P = 3x(x + 5) + 1(x+5)
P = (3x + 1)(x+5)
Hence the perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)
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if you go out to eat and your meal was $72.50 you decide to tip your waiter 15% How much do you pay in total
Answer:
$83.38
Step-by-step explanation:
multiply 72.5 by 1.15: 72.5 x (100% of meal + 15% of meal)
Solve for Y
13= 4y+5
y=?
Please help this is my last question and it’s due by 10 PM
sorry there’s only 11 points •.•
Solve the following equations:
x/3+1=7/5
Answer:
8/5..............…is the answer
Answer:
Standard Form: 6/5 Mixed Number: 1 1/5 Decimal: 1.2
Step-by-step explanation:
1. Subtract 1 from both sides of the equation
x/3 + 1 = 7/5
x/3 + 1 - 1 = 7/5 - 1
2. Simplify
2a.
x/3 + 1 - 1 = 7/5 - 1
x/3 = 7/5 - 1
2b.
x/3 = 7/5 - 1
x/3 = 2/5
3. Multiply all terms by the same value to eliminate fraction denominators
x/3 = 2/5
3 x x/3 = 3 x 2/5
4. Simplify
4a. Cancel multiplied terms that are in the denominator
cross out the threes in 3 x x/3 then you should get x = 3 x 2/5
4b. Multiply the numbers
x = 3 x 2/5
x = 6/5
And your answer should be 6/5|
I hope this helps you or anyone
Jose tutors English. For each hour that he tutors, he earns 25 dollars. His earnings, E (in dollars), after tutoring for h hours
is given by the following function.
E(h)=25h
How much does Jose earn if he tutors for 2 hours?
By using given function, For 2 hours Jose will earn $50 for tutoring.
What is a function?"Function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."
Given function
E (h) = 25h
For each hour Jose earns $25 for tutoring
E (1) = $25
For 2 hours Jose will earn:
E(2) = 25(2)
⇒ E(2) = $50
Hence, By using given function, for 2 hours Jose will earn $50 for tutoring.
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Give the least common denominator: 1/(5n), 1/3 _____
Step-by-step explanation:
step 1. LCD of 1/(5n) and 1/3 is 15n.
Plz help due tomorrow
Answer:
1/2
Step-by-step explanation:
The problem is asking for the coefficient of the sum of the two expressions, which are 2/3 and -1/6.
2/3 + -1/6 = 1/2, therefore, the answer is 1/2.
Which one is it?????
PLS HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Between April and May
Step-by-step explanation:
April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.
Answer:
Option 2 :- February and March
Step-by-step explanation:
Rate of change between February and March is $ 5 i.e, ($79-$74)
Rate of change between April and May is $ 3 i.e, ($75-$72)
Thus, Rate of change is greater in February and March.
Hope this helps you.
Mrs. Rogers sold 48 out of 80 crafts at the fair. What percent of her crafts did she sell? ~Plz answer like ASAP!!thank you :)) ~
Answer:
38.4
38.4 is 48% of 80
Step-by-step explanation:
What is 48% of 80?
Y is 48% of 80
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 48% * 80
Converting percent to decimal:
p = 48%/100 = 0.48
Y = 0.48 * 80
Y = 38.4
Work out
(
2
×
10
8
)
−
(
3
×
10
6
)
Give your answer in standard form.
Answer:
[tex] - 1.02 \times 10 {}^{2} [/tex]
Step by step:
Use bidmass to work out the brackets
(2×108) = 216
(3×106) =318
216-318=-102
Then put into standard form.
100 POINTS! The midpoint of GH is M(4, -3). One endpoint is G(-2, 2). Find the coordinates of endpoint H.
Answer:
(10, -8)
Step-by-step explanation:
Answer:
solution given:
G(x1,y1)=(-2,2)
H(x2,y2)=(x,y)
Mid point M(a,b)=(4,-3)
we have
(a,b)=((x1+x2)/2,(y1+y2)/2)
(4,-3)=((-2+x)/2,(2+y)/2)
comparing corresponding value
4=(-2+x)/2
8+2=x
x=10
again
(2+y)/2=-3
2+y=-6
y=-6-2
y=-8
So coordinates of H is (10,-8).
Evaluate f(x)=7x+7 when x=-9
Answer:
-56
Step-by-step explanation:
f(x) = 7x + 7
x = -9
We meed to plug in x = -9 into the first equation:
f(-9) = 7(-9) + 7
We can open up the parentheses:
f(-9) = -63 + 7
And then simplify:
f(-9) = -56
Which line below is parallel to y = 5x - 6
Answer:
-30
Step-by-step explanation:
What question do you ask a basketball player from Indiana?
9514 1404 393
Answer:
WHOOSIER COACH
Step-by-step explanation:
Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.
(a) C: supplementary to 138°, 180° -138° = 42°
(b) O: congruent to 138°
(c) R: supplementary to 32°, 180°-32° = 148°
(d) H: congruent to 32°
(e) S: complementary to 28°, 90° -28° = 62°
(f) O: supplementary to 122°, 180° -122° = 58°
(g) W: congruent to 122°
(h) C: supplementary to 28°, 180° -28° = 152°
(i) I: supplementary to 60°, 180° -60° = 120°
(∠TSW) E: supplementary to a right angle: 180° -90° = 90°
(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°
(∠USW) H: complement of ∠TSU, 90° -35° = 55°
(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°
__
The desired order of the letters corresponds to the sequence of angles ...
122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°
WHOOSIER_COACH
What is the value of p(b-c) when b=3,c=3 and p=-2
Answer:
0
Step-by-step explanation:
-2 (3 - 3)
distribute: -6 + 6
add: -6 + 6 = 0
Answer:
0
Step-by-step explanation:
p=-2,b=3,c=3
p(b-c)
-2(3-3)
-2(0)
0
or-2(3-3)
-6+6
0
hope it's helpful ❤❤❤❤
THANK YOU.
#
The Sullivans purchased $195.60 worth of school
clothes during their back to school shopping haul.
The sales tax in their state is 6%. How much sales
tax did they have to pay?
Answer:
$11.74
Step-by-step explanation:
195.60/100 X 6 = 11.736
monetary unit so round to 2dp
11.74
7x + y = 7
y = [ ? ]x+ []
3(x-7)=9 can I have some help with this plase
Answer:
x=10
Step-by-step explanation:
type your eqations into mathpapa!! one of the most helpful things ever
What is the value for A? What is the value for B? What is the value for C? What is the value for D?
Step-by-step explanation:
step 1. we must assume the ratio of flour to sugar is 2:1.
step 2. A = 2(3/4) = 3/2 1-1/2.
step 3. B = 1-3/4(1/2) = 7/4(1/2) = 7/8
step 4. C = 1(2) = 2
step 5. D = 2-1/2(1/2) = 5/2(1/2) = 5/4 = 1-1/4.
SOMONE PLEASE HELP ME ASAPPPPPPPP!!!!!!!!! I WILL GIVE YOU A GOOD RATE AND MARK YOU THE BRAINLIEST JUST ANSWER THIS CORRECTLY AND ASAPPPPP!!!!!!! PLEASE!!!!!!!!!
10.
X/2 + X-3/5 = 3
If anyone could help with #10 I would be very grateful
Please help, and i will mark you BRAINLIEST
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)? *
s + 1 1/2 = 6 1/3
6 1/3 - s = 1 1/2
s - 1 1/2 = 6 1/3
1 1/2 + s = 6 1/3
Answer: 4 5/6
Step-by-step explanation: 4 5/6+ 1 3/6(aka 1 1/2)= 6 2/6 (aka 6 1/3)