What steps would you follow in order to solve the equation?
w/8 - 4 = 20
add 4 on each side and divide by 8
subtract 4 on each side and multiply by 8
add 4 on each side and multiply by 8
subtract 4 on each side and divide by 8
Answer:
128Step-by-step explanation:
Step one:
given the expression w/8 - 4 = 20
the first operation is to isolate the term that has w by adding 4 to both sides
w/8 - 4+4 = 20+4
w/8 = 16
Required
the value of w
Step two:
the next step is to cross multiply
w=16*8
w=128
A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,
which offer will allow the worker to earn the most over six years?
O a starting salary of $49.000 with a 3% increase each year
O a starting salary of $51 000 with a 1% increase each year
O a starting salary of $48,000 with a 6% increase each year
a starting salary of $50,000 with a 2% increase each year
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Answer:
$48,000 to start, with 6% raises
Step-by-step explanation:
The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.
The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...
S = s((1+r)^6 -1)/r
Here are the total earnings, in thousands, for each of the offers:
a) s = 49, r = .03, S = 316.95
b) s = 51, r = .01, S = 313.75
c) s = 48, r = .06, S = 334.82 . . . . best offer
d) s = 50, r = .02, S = 315.41
The worker can earn the most from a starting salary of $48,000 and 6% increases each year.
C) a starting salary of $48,000 with a 6% increase each year
please help me thanks
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Pythagorean theorem: Manuel purchases a rectangular picture
frame that has a diagonal measure of
17 inches and a height of 8 Inches. What is
the width of the picture frame?
Answer:
width = 15
Step-by-step explanation:
a² + b² = c² This the the formula
(PLUG IN)
8² + b² = 17²
64 + b² = 289 (subtract 64 on both sides)
b² = 225 (square root)
b = 15
Hope this helps ya!!
A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105 total
Step-by-step explanation:
Answer:
$105.66 is your answer.
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
Answer:
y = 3.
Step-by-step explanation:
x + 5y = 7
x = 7 - 5y
Substitute x for 7 - 5y in the second equation.
2 ( 7 - 5y ) + 4y = -4
14 - 10y + 4y = -4
14 - 6y = -4
6y = 14 + 4
6y = 18
y = 3.
Hope this helped!
Answer:
y = 3
Step-by-step explanation:
x + 5y = 7
Subtract 5y from both sides;
x = -5y + 7
Substitute x into the equation;
2x + 4y = -4
2(-5y + 7) + 4y = -4
Distribute;
-10y + 14 + 4y = -4
-6y + 14 = -4
Subtract 14 from both sides;
-6y = -18
Divide both sides by -6
y = 3
Substitute y;
x + 5y = 7
x + 5(3) = 7
x + 15 = 7
Subtract 15 from both sides;
x = -8
4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.
Answer:
To make 65 chocolate drinks, she needs:
12 g of chocolate powder and 5 marshmallows per drink.
Then she needs:
12g*65 = 780 grams of chocolate powder.
We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99
If she buys 3 jars, she will have: 3*250g = 750g
So she will not have enough, then she needs to buy 4 jars.
Then in chocolate powder, she will pay 4 times £2.99 = £11.96
And for marshmallows, she needs:
65*5 = 325 in total.
Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:
325/120 = 2.7
That should be rounded up (because she can not buy a 0.7 of a bag)
Then she needs 3 bags, and each bag costs £1.45
Then the total cost in marshmallows is 3*£1.45 = £4.35
Find the x-intercept and y-intercept of the line. 3x-6y=12
Answer:
the y- intercept is "3" and the x- intercept is "6"
Step-by-step explanation:
ARE THESE FUNCTIONS
-TABLE A IS A FUNCTION
-TABLE B IS A FUNCTION
-NEITHER
-BOTH
HELP
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Answer:
Table B is a function
Step-by-step explanation:
The relation shown in a table is NOT a function if the same input value gives different output values.
In Table A, input Taurus gives different outputs, so Table A is NOT a function.
In Table B, there are no repeated inputs, so Table B IS a function.
True or false is a relation in which each y value has only 1 x value
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
The question is this: Rationalize the denominator and simplify.
Plssss hurry & answer this!!!!
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Answer:
[tex]\dfrac{20+5\sqrt{3}}{13}[/tex]
Step-by-step explanation:
Multiply numerator and denominator by the "conjugate" of the denominator.
[tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]
__
This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.
a² - b² = (a -b)(a +b)
I WILL MARK BRAINIEST
Answer:parallel
Step-by-step explanation:
How do I get the fractional form for cos 4π/3?
Answer:
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
cos
(
π
+
π
3
)
=
cos
π
⋅
cos
(
π
3
)
−
sin
π
⋅
sin
(
π
3
)
=
(
−
1
)
(
1
2
)
−
(
0
)
(
√
3
2
)
=
−
1
2
if a triangle has a side length of 10
12 and 15 what type of triangle is it
18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.
Answer:
He will receive $1, 400 for interest
&
A total amount of $6, 400
Step-by-step explanation:
To find the interest, we must apply the following formula:
I = P × R × T
I represents interest
R represents rate
T represents time
P represents principle
Steps:
1. Change the rate, which is 2%, into a decimal.
2. Multiply the principle, which is 5,000, by the rate, which is 0.02.
3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.
So he will receive $1, 400 interest.
To find the total amount he recieved, we must:
Add the principle, which is 5,000, and the current interest, which is 1, 400.
5,000 + 1,400= 6,400
He will receive a total of $6, 400
I hope this helps! I'm sorry if it's wrong.
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?
PLEASE BE CORRECT
Answer:
$412.50
Step-by-step explanation:
[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]
Pls answer 4 and 5 for brainly
Number 4 would be: C
And number 5 would be: C
Please Mark as Brainliest!!!
Answer:
Number 4 is c 1/6 and number 5 is also c
Step-by-step explanation:
I just divided 1 and 6 and got 0.1666
and did the same for the other one
pls mark brainliest
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad
I believe you answer would be $4 + $0.85t =$9.95
Answer:
7
Step-by-step explanation:
c = $0.85t+$4
$9.95 = $0.85t+$4
$9.95-$4 = $0.85t
$5.95 = $0.85t
$5.95/$0.85 = t
7 = t
Which of the following finds T given I, P and R
Answer:
D. T= I/PR
Step-by-step explanation:
PRT are multiplyed so you divide PR to get T by itself.
Will Give brainliest 40 POINTS
In the figure above, lines l and m are parallel. What is the value of x?
Select one:
A. 55
B. 57
C. 61
D. 63
Answer:
55
Step-by-step explanation:
Please let me know if you need an explanation.
Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?
Answer:
$104.31
Step-by-step explanation:
First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:
129 * 0.76 = 98.04
The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:
98.04 * 0.064 = 6.27456
The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:
98.04 + 6.27 = 104.31
The total price Zach will pay is $104.31.
Hope this helps :)
Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12
find the value of x that makes m||n
Answer:
x = 6
Step-by-step explanation:
In order for m to be parallel to n 16x - 6 would have to equal 90. We can demonstrate that using an equation.
16x - 6 = 90
Let's solve for x:
First add 6 to both sides to isolate the 16x:
16x - 6 + 6 = 90 + 6
16x = 96
Now divide both sides by 16 to isolate the x:
16x/16 = 96/16
x = 6
The value of x has to be 6 in order for m to be parallel to n.
Solve using substitution.
x − 4y = –14
3x + 8y = 18
ordered pair=?help
Answer:
(-2,3) if your doing substitution
(-2,3) for Elimination
Step-by-step explanation:
triangle sum theorem
WILL MARK BRAINLIEST
Step-by-step explanation:
13) 4x-22+x+11+10x-4 =180
15x=195
x=13
<P=(10(13)-4)=126
<Q=(4(13)-22)=30
<R=13+11=24
The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?
5x + 260 = -8x + 650 I got 75 but it was wrong
-260
then
-5x
-13x+390
-390
/-13
=
Answer:
x=30
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
Answer: Marcus is correct.
i got it right on Edge2020
Step-by-step explanation:
Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.
Marcus's claim is correct.
The triangles are given as: ΔTSR and ΔUSV
By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.
So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.
Hence, Marcus is correct, and Sam is not.
Read more about transformation at:
https://brainly.com/question/4539110
hii guys happy chota dipawali
Answer:
yay thats so coolllllllll