Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
HELLPPPP PLEASE QUICKK ASAP
Answer:
9
Step-by-step explanation:
The reason why it is 9 is because if you look to the bigger triangle, you can see that 15 is 3/4 the size of 20, so once you find what number is 3/4 of 12, you have the answer, 9! Hope this helps!
Hey hons. I will dub the brainliest. please help tho. Remember, the answer isn't zero. Reward: Brainliest! (:
Answer:
The answer is 10
Step-by-step explanation:
Answer:
Answer is 10!
Step-by-step explanation:
What is -4(x+6) can someone pls help
Answer:
-4x - 24
Step-by-step explanation:
distribute the -4 by multiplying it by what is in the parenthisis. Since it is negative that makes a -4x and a -24
Hey there!
ANSWER: [tex]-4x-24[/tex]EXPLANATION:[tex]-4(x+6)[/tex]
Let's separate -4 and x+6 with parenthesis.
[tex](-4)(x+6)[/tex]
Now let's separate all with parenthesis.
[tex](-4)(x)+(-4)(6)=-4x-24\\-4x-24(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
check the image needed more words :p
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 8 x − 40. F(x)=8x−40. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Domain = [0, ∞).
Step-by-step explanation:
he profit, in dollars, when the company sells x shirts can be found using the function
[tex]f(x)=8x-40[/tex]
For x=0,
[tex]f(0)=8(0)-40=-40[/tex]
It means, if company sells 0 shirts, then company makes loss (because of negative sign) of $40.
For x=5,
[tex]f(5)=8(5)-40=0[/tex]
It means, if company sells 5 shirts, then company makes profit of $0 means no loss no profit.
For x=10,
[tex]f(10)=8(10)-40=40[/tex]
It means, if company sells 10 shirts, then company makes profit of $40.
Domain is the set of input values.
We know that number of shirts can not be negative, therefore the value of x is always greater than or equal to 0.
Domain = [0, ∞).
Therefore, the domain for the function is [0, ∞).
Translate the following mathematical sentence into an algebraic expressionſequation.
Five less than the product of seven and a number is forty-two.
Answer:
(7+x)-5=42
Step-by-step explanation:
Follow me for more answers If you like my way of solving
√45 rounded to the nearest 0.05 ????
Answer:
6.7082039325......tbc
6x+5=23
Explain the steps used to solve
Answer:
x = 3
Step-by-step explanation:
Step 1:
6x + 5 = 23
Step 2:
6x = 18
Answer:
x = 3
Hope This Helps :)
How many rational numbers are between 1 and 6?
one ans six are infinite
The product of twice the length and the width
Answer:
The answer to the question is 2(l+w).
(-1)² + (-2) + (-3)² + (-4)²
Answer: GIVE MEEEE BRAINLIEST PLEASE
(−1)2−2+(−3)2+(−4)2
=24
Step-by-step explanation:
(−1)2−2+(−3)2+(−4)2
=24
match with the appropiate property:
Answer:
distributive property of multiplication over addition
Step-by-step explanation:
hope this helps! :)
Answer:
Pemdas
Step-by-step explanation:
parenthesis
exponents
multiplication
division
addition
subtraction
what is the answer to g+3=17
Answer:
g=14
Step-by-step explanation:
do 17-3, the answer is 14, meaning 14=g
Answer:
g = 14
Step-by-step explanation:
g+3 = 17
Subtract 3 from each side
g+3-3 = 17-3
g = 14
HELP !!! Evaluate f(-2) for the function f(x) = 3x2 + 2x - 5
Answer:
3
Step-by-step explanation:
So we have the function:
[tex]f(x)=3x^2+2x-5[/tex]
To evaluate the value of f(-2), substitute -2 for x. Thus:
[tex]f(-2)=3(-2)^2+2(-2)-5[/tex]
Square first:
[tex]f(-2)=3(4)+2(-2)-5[/tex]
Multiply:
[tex]f(-2)=12-4-5[/tex]
Now, subtract:
[tex]f(-2)=8-5=3[/tex]
So:
[tex]f(-2)=3[/tex]
And we're done!
The circumference of a quarter is approximately 7.54 mm. What is its diameter to the nearest tenth of a millimeter? (π = 3.14)
Answer:
2.40mmStep-by-step explanation:
In this problem. we are required to solve for the diameter of a circle.
Given data
circumference of circle c= 7.54mm
we know that the expression for the circumference is given as
c= 2πr
We can substitute our given data to solve for r
7.54= 2*3.142*r
7.54=6.284*r
divide both sides by 6.284 we have
r= 7.54/6.284
r= 1.199
diameter = 2*r
diameter= 1.199*2
diameter= 2.399
to the nearest tenth
diameter= 2.40mm
-1/2m=-9 what does m=
Answer:
m = 18
Step-by-step explanation:
Step 1: Write out equation
-1/2m = -9
Step 2: Multiply both sides by -2
m = 18
I need help it says what could I change in this polynomial to make them like terms.
[tex] {2x}^{2} + 5x - 6y + 2y - 7[/tex]
Answer:
2x² + 5x - 4y - 7
Step-by-step explanation:
combine the like terms -6y and 2y
2x² + 5x - 6y + 2y - 7
2x² + 5x - 4y - 7
please prove this...
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
sin (A) - sin (B) = 2 cos (A+B)/2 · sin (A-B)/2
sin (A) + sin (B) = 2 sin (A+B)/2 · cos (A-B)/2
Given: sin Ф = k sin β --> (sin Ф)/(sin β) = k
Proof RHS → LHS
[tex]\text{RHS:}\qquad \qquad \qquad \dfrac{k-1}{k+1}\tan\dfrac{\theta+\beta}{2}[/tex]
[tex]\text{Given:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-1}{\frac{\sin \theta}{\sin \beta}+1}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-\frac{\sin \beta}{\sin \beta}}{\frac{\sin \theta}{\sin \beta}+\frac{\sin \beta}{\sin \beta}}}\cdot \tan\dfrac{\theta +\beta}{2}\\\\\\.\qquad \qquad \qquad = \dfrac{\sin \theta -\sin \beta}{\sin \theta +\sin \beta}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{Product to Sum:}\qquad \quad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \dfrac{\sin\frac{\theta +\beta}{2}}{\cos \frac{\theta +\beta}{2}}[/tex]
[tex]\text{Simplify:}\qquad \qquad \quad \quad \dfrac{\sin \frac{\theta +\beta}{2}}{\cos \frac{\theta+ \beta}{2}}\\\\\\.\qquad \qquad \qquad \quad =\tan\dfrac{\theta +\beta}{2}[/tex]
[tex]\text{LHS = RHS:}\quad \tan\dfrac{\theta +\beta}{2}=\tan\dfrac{\theta +\beta}{2}\quad \checkmark[/tex]
Solve the equation by inserting the assigned value.
NH
(6a - 10) = 12 – (6 - 3a), when b=11
A = ?
Answer:
a = 5.333.. or 5 1/3
Step-by-step explanation:
I am not sure what your question is but it looks like you need to solve for a.
Based on that fact:
6a - 10 = 12 - 6 + 3a you multiply -1 by each term in the parenthesis
Then it is simple algebra
6a -10 = 6+ 3a
+10 + 10 add 10 to both sides
6a = 16 + 3a
-3a -3a add -3a to both sides
3a = 16 Divide both sides by 3
a = 5.3333
-5(k + 6) + 7(k – 4)
I need help please someone help me !!!!!!
Which problem is modeled?
0.8 – 0.5 = 0.3
0.08 – 0.03 = 0.05
0.8 – 0.3 = 0.5
0.08 – 0.05 = 0.03
Answer:
The answer is 0.8-0.3=0.5.
6 to the 2nd power x 3 to the 3rd power
Answer:
972
Step-by-step explanation:
[tex] {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972[/tex]
5n+6+(−7n) what's is the answer
Answer:
The simplified answer is -2n+6
Step-by-step explanation:
All you have to do is simplify terms. -7n and 5n are terms you can combine, giving you -2n and +6 cant be simplified
find the area of each polygon created by the coordinates (4,4), (7, -1), (7,-4), (1,-4), (1, -1)
Area=____
Step-by-step explanation:
thats what I got hope this helped you out
What is
the circumference of a circle with radius 3.5cm. Take [Pi=22/7]
Answer:
22cm
Step-by-step explanation:
Circumference of a circle = 2πr
π = 22/7
r = 3.5
Circumference of a circle = 2 × (22/7) × 3.5
Circumference of a circle = 22cm.
The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in florida at 17 5/12 feet. Which is the differnce in their lenghth
Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length = [tex]14\frac{5}{12} = \frac{173}{12}[/tex]
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length = [tex]17\frac{5}{12} = \frac{209}{12}[/tex]
Now Let us find the difference between the lengths:
[tex]\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3[/tex]
Therefore the difference in the lengths of the two alligators = 3
4 x ((-4)= (-2) - (-3) + (-6))
Answer:
x=5/16
Step-by-step explanation:
Let's solve your equation step-by-step.
4x(−4)=−2−(−3)−6
Step 1: Simplify both sides of the equation.
4x(−4)=−2−(−3)−6
−16x=−2+3+−6
−16x=(−2+3+−6)(Combine Like Terms)
−16x=−5
−16x=−5
Step 2: Divide both sides by -16.
−16x
−16
=−5/−16
x=5/16
can I be the brainiest please!!
9. Krista and Emily wrote an equation of a line that is parallel to the line y = 3x - 1 and passing
through the point (5,9). Is either of them correct? Explain your reasoning?
Krista:
9 = 3(5) + b
9 = 15 + b
-6 = b
y = 3x - 6
Emily:
y- 9 = 3(x - 5)
y- 9 = 3x - 15
y = 3x - 24
Answer:
Explanation:
Step-by-step explanation:
Hey there!
The equation, of a st. line that passes through point (5,9) is,
[tex](y - y1) = m1(y - y1)[/tex]
Put the values,
[tex](y - 9) = m1(x - 5)[/tex]
It is 1st equation.
Now, another equation is,
y = 3x-1.........(ii)
Comparing the equation with y = mx+c.
Slope (m2)= 3
As per the parallel lines,
m1=m2=3
Putting,
the value of m1 in equation(i)
(y-9)= 3(x-5)
y-9= 3x - 15
y = 3x - 6.
So, Krista equation is correct.
Hope it helps...
b) The number when 75% of the number is 12
Answer:
16
Step-by-step explanation:
(75/100)*x=12
75x=12*100
75x=1200
x=1200/75
x=16
Answer:
16
Step-by-step explanation:
divide 75 by 100
multiply 12 by 100
which is 1200
divide 1200 by 75
and your answer is 16