Answer:
Step-by-step explanation:
just add
3.17
1.15
2.26
-------
7. 48 lbs
im pretty sure
Please Help me. Thanks
An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4 point questions are on the test?
Answer:
33 questions.
Step-by-step explanation:
Let x = 4 points questions.
Let y = 8 points questions.
Translating the word problem into an algebraic equation;
For the total number of questions;
[tex] x + y = 65[/tex] .........equation 1
For the total number of points;
[tex] 4x + 8y = 388[/tex] ..........equation 2
Given the following data;
Total number of questions = 65
Total number of points = 333
Solving the linear equation by using the substitution method;
Making x the subject in equation 1:
[tex] x = 65 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] 4(65 - y) + 8y = 388[/tex]
Simplifying the equation, we have;
[tex] 260 - 4y + 8y = 388[/tex]
[tex] 260 + 4y = 388[/tex]
Rearranging the equation, we have;
[tex] 4y = 388 - 260[/tex]
[tex] 4y = 128[/tex]
[tex] y = \frac {128}{4} [/tex]
y = 32 (For the 8 points question).
Substituting "y" into equation 3;
[tex] x = 65 - 32[/tex]
x = 33 (For the 4 points question).
Therefore, the number of 4 point questions on the test are 33 questions.
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.
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 you understand similar figures you will get this because I don't
Answer:
I think its 3 but im not sure
Step-by-step explanation:
2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x
Does anyone know the answers this is Gina Wilson
Answer:yes
Step-by-step explanation:
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
i need the answer asap i’ll make you the brainliest
Answer
the second one
PLEASE HELP MEH NOW!! I WILL MARK BRAINLIEST 1/8 divided by 5
Answer:
1/40 or .025
Step-by-step explanation:
Just flip the 5 then multiply instead of dividing.
[tex]\frac{1}{8}*\frac{1}{5}[/tex]
You turn 5 into 1/5 by flipping it.
When you multiply them you get.
[tex]\frac{1}{40}[/tex]
or
.025
Hope this helps! Have a blessed day!
describe the slope of the line passing through points A(-2,3) and B(4,-3)
Answer:
0/2 is ZERO is positive
Step-by-step explanation:
In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?
Answer:
420
Step-by-step explanation:
If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.
Answer:
Step-by-step explanation:
The answer is 420
In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?
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
Find the slope of the line that passes through: (10. 1) and (5.2)
Answer:
1/-5 should be the answer
What is the equation of the line that passes through the point (5,-2) and has a slope of -2/5?
Answer:
y= -2/5x -2
Step-by-step explanation:
y = mx + b
jxjxjxjxnxjddjdjdjdjj
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
i'll mark you as brainliest
Answer:
y = x - 2
Step-by-step explanation:
.
if a triangle has a side length of 10
12 and 15 what type of triangle is it
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.
Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12
HELP Please!!!!!!! Asap
Answer:
bottom right is correct
Step-by-step explanation:
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.
Please help me! Im making the first correct answer brainliest!
Answer:
The answer is most likely c.)
Step-by-step explanation:
It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.
After being exposed to an incredible shrinking machine, Halley's height decreased by 108 cm over 6 seco
by the same amount each second. How much did Halley's height change each second?
18 cm
B
108 cm
-18 cm
D
-108 cm
Answer:
it would be -18
Step-by-step explanation:
because you would divide 108 by 6 and you will get -18 each second
Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees. Write an integer to represent the change in temperature.
Answer:
c + 6 degrees= x
Step-by-step explanation:
Please help
Show work if you can
Thank you!
Answer:
y= -1/2 + 2
Step-by-step explanation:
To find m or the slope you need to find 2 locations that the line intercepts a point on the graph. I used (0,2) and (2,1).
Then you find the difference of the x and y coordinates. (x,y)
X-coordinates: 0 and 2. 0 - 2 = -2
Y-coordinates: 2 and 1. 2 - 1 = 1
A slope fraction is the difference of y over the difference of x coordinates. It would be written as 1/-2 or -1/2. m= -1/2
To find the b value, just look at the y-intercept or where the line intercepts the y-axis. Which is at (0,2). So b=2
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
Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answer:
The E came before H
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!!
four ninths plus nine eighteenths :]
Answer: 17/18
In words, this is seventeen eighteenths
==========================================
Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
----------------
note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer: its 17/18
Step-by-step explanation:
hope it help's ヾ(•ω•`)o