Answer:
Hey there!
Sam's Money=1.80 dollars + 0.75 dollars.
1.80+0.75-1.50=1.05
1.05/0.13= 8.08.
He will be able to buy 8 pieces of gum.
Let me know if this helps :)
if F is the midpoint of DE, DF =3x+5 and FE = 5x-19, Find DF
Answer:
DF=41
Step-by-step explanation:
It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,
DF=FE
3x+5=5x-19
Subtracting both sides by 3x
3x+5-3x=5x-19-3x
5=2x-19
Subtract both sides by 5
5-5=2x-19-5
0=2x-24
2x=24
x=12
So, the value of x is 12.
Put x = 12 in DF=3x+5
DF=3(12)+5
DF= 36+5
DF = 41
So, the value of DF is 41.
Can someone help me please I need to turn this in tomorrow
Answer:
1. 24 different 4-digit numbers can be formed.
Step-by-step explanation:
2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%
3. The probability is 3:1, 3/4, or 75%
4. What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12
I’m desperate for help!!
When we reflect every point over the x axis...
S(2, -4) becomes S ' (2, 4)T(9, -4) becomes T ' (9, 4)U(9, -1) becomes U ' (9, 1)V(2, -1) becomes V ' (2, 1)The rule you use is [tex](x,y) \to (x,-y)[/tex]
The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)
The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number.
*Note: you must use these exact conversion factors to get this question right.
Weight / mass
Volume
1 pound (lb) = 16 ounces (oz)
1 cup (cup) = 8 fluid ounces (fl oz)
i ton (ton) = 2000 pounds (lb)
1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)
i quart (at) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (8)
1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (8)
1 cubic foot (ft") = 7.481 gallons (gal)
1 pound (1b) = 0.454 kilograms (kg) 1 liter (L) = 1000 milliliters (mL)
1 cubic meter (m) = 1000 liters (L)
1 gallon (gal) = 3.785 liters (L)
i fluid ounce (fl oz) = 29.574 milliliters (mL)
Answer:
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L
Step-by-step explanation:
The density of the material is 6 pounds per pint of volume
The given conversion factors are;
1 pint (pt) = 2 cups (cups)
1 cup (cup) = 8 fluid ounces (fl oz)
Therefore;
2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz
Also given;
1 fluid ounce = 29.574 mililiters (mL)
16 fl oz = 16 × 29.574 mL = 473.184 mL
1 liter (L) = 1000 mililiters (mL)
∴ 1 mL = 1/1000 L = 0.001 L
473.184 mL = 473.184 × 0.001 L = 0.473184 L
1 pound (lb) = 0.454 kilograms (kg)
6 lb = 6 × 0.454 kg = 2.724 kg
1 kg = 1000 grams (g)
2.724 kg = 2.724 × 1000 grams (g) = 2724 g
Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;
d = 2724 g/(0.473184 L)= 5756.75 g/L
The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.
the area of a square with a width of 2√5 in simplest form
Answer:
20
Step-by-step explanation:
(2√5)²=
4*5=20
Area of square = 135 mm²
Perimeter of square=
Answer:
About 11.62 by 11.62
A square had equal sides so you find the square root of 135 and that is rounded to 11.62.
So the perimeter would be about 46. But 46.48 exactly.
Answer:
P≈46.48
A= Area
135
Step-by-step explanation:
find the perimeter of rhombus star
Answer:
[tex] 4\sqrt{10} [/tex]
Step-by-step explanation:
Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.
The coordinates of its vertices are given as,
S(-1, 2)
T(2, 3)
A(3, 0)
R(0, -1)
Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.
[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
S(-1, 2) => (x1, y1)
T(2, 3) => (x2, y2)
[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]
[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
T(2, 3) => (x1, y1)
A(3, 0) => (x2, y2)
[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]
[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
A(3, 0) => (x1, y1)
R(0, -1) => (x2, y2)
[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]
[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]
[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
R(0, -1) => (x1, y1)
S(-1, 2) => (x2, y2)
[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]
[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]
[tex] Perimeter = ST + TA + AR + RS [/tex]
[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]
PLEASE HELP! (this isn’t math but I really need this in the next few mins) An assignment my gaming and animations teacher gave me said to explain (insert game)’s objectives, operation, obstacles, and outcomes. I don’t know what an operation means here. Please help
Answer:
Gaming Functions
Step-by-step explanation:
I think your teacher is implying for you to explain the function and the "works" behind the game. Maybe talk about the game's programming or the way it's overall structured?
4t – 3 – (3t +1) = 5t – 4 can i get some help?
0t
Step-by-step explanation:
4t-3-(3t+1)=5t-4
4t-3-3t-1=5t-4
t-3-1=5t-4
t-4=5t-4
t=5t
0=6t
0=t
(Im not 100% sure about this but i think this is the answer)
A 16-cup bottle of fabric softener costs $16.80. What is the price per pint?
===============================================
Work Shown:
1 pint = 2 cups
8 pints = 16 cups (multiply both sides by 8)
We have an 8 pint bottle costing $16.80, so we can say
8 pints = 16.80 dollars
1 pint = 2.10 dollars (divide both sides by 8)
Answer:
$2.10
Step-by-step explanation:
2 cups in 1 pint
16 cups= 8 pints
16 cups = 16.80
16.80 divided by 8 = 2.1
Help needed ASAP will give brainliest to the person that answers this
Ans option 3? it can be converted to a fraction!
Answer:
it depends on the number of decimals
Step-by-step explanation:
What change would you get from £10 if you spent £9.17? Give your
answer in pence
Answer:
£0.83
Step-by-step explanation:
This is a simple subtraction problem.
You have 10 pence. You buy something with 9.17 pence.
10 - 9.17
0.83
Label your answer in pence.
£0.83
Good luck mate :)
The area of a square garden is 9 yd*2..
How long is each side of the garden?
Answer:
18 yards i think
Step-by-step explanation:
To make five cups of lemonade you mix three cups of water with two cups of lemon juice. If there are sixteen cups in a gallon, how many cups of lemon juice are needed to make ten gallons of lemonade
Answer:
64 cups of lemon juice
Explanation:
First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:
5 cups of lemonade→2 cups of lemon juice
16 cups of lemonade→x
x=(16*2)/5=6.4 cups of lemon juice
Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:
1 gallon of lemonade→6.4 cups of lemon juice
10 galons of lemonade→x
x=(10*6.4)/1=64 cups of lemon juice
According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.
The smell of the flowers ____ sweet. 1. was 2. are
Answer:
1. was (but I think it should be is)
Step-by-step explanation:
the smell of flowers was/is sweet
-----------------------
The sentence is referring to the smell, and smell is singular, so we should is or was
Hope this helps!! :)
Convert 50 m/s to miles/hr
What is the intersection of AC and plane Q?
onde step equations (add/subtract)
-6 = t -1 =???
Step-by-step explanation:
If we are solving for t, we have to remember that we have to isolate the variable (get its on its own). Since -1 is with t on the same side of the equation right now, we have to move the -1 to the other side of the equation. To do so, we add it's opposite to the right side (+1). Then, the -1 cancels out so we are left with an isolated t.
-6 = t - 1 (+1)
-6 = t
But we are not done yet! Whatever we do on one side, we have to do on the other side. Since we added 1 to the right, we have to add 1 on the left, too. So we add 1 to -6.
(+1) -6 = t
-6 + 1 = -5
-5 = t
Our final answer: t = - 5 (it can also be written as - 5 = t, but most people prefer the variable going first)
what is 6 to the second power equal?
Answer: 6 to the second power equals 36.
Step-by-step explanation: Any number to the power of two multiples by itself.
So 6 x 6 = 36
Answer:
36
Step-by-step explanation:
6^2= 36
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her stock in Company B was worth $2980. The stock in Company A has decreased 20% since last year and the stock in Company B has decreased 10%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
14.7 %Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
Answer:
14.7%
Step-by-step explanation:
It’s 14.7%
Pls make me brainliest
4x - 4y = 1 Solve the equation for y. 10 points!
Answer:
infinite solutions
y = x - 1/4
Step-by-step explanation:
4x - 4y = 1
4y = 4x - 1
y = x - 1/4
substitute
4x - 4(x - 1/4) = 1
4x - 4x + 1 = 1
0 = 0
infinite solutions
10. What are the x and y intercepts of the equation --30 + 5y = 15
Answer:
i think you had written the formula wrongly
so if it was -30x not -30
Step-by-step explanation:
x intercept when y=0
-30x = 15
x= -0.5
y intercept when x=0
5y= 15
y=3
- if this is the one you want
-30 +5y=15
5y =45
y=9
and there not x intercept { }
A recipe for sparkling grape juice calls for quarts of sparkling water and quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?
Answer:
For this case we can make the following rule of three:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer:
you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
4) Let A = {7, 8, 9, 10, 11, 12), B = {9, 11, 13), C = {7, 8, 10, 12), D = {7, 12), and U = {7, 8, 9, 10, 11, 12, 13). 4) Вас A) True B) False
It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.
Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!
Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{x-y}{2}[/tex] ) = 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{y-x}{2}[/tex] )
cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
[tex]\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }[/tex] ← cancel 2 from numerator/ denominator
= [tex]\frac{sin45}{cos45}[/tex] × [tex]\frac{sin35}{cos35}[/tex]
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
Answer: see proof below
Step-by-step explanation:
* Use the following Co-function Identity: sin A = cos(90 - A)
* Use the following Sum to Product Identities:
cos x - cos y = 2 sin [(x + y)/2] · sin [(x - y)/2]
cos x + cos y = 2 cos [(x + y)/2] · cos [(x - y)/2]
* Use the Unit Circle to evaluate cos 45 = sin 45 = √2/2
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \quad \dfrac{\cos 10-\sin 10}{\cos 10+\sin 10}\\\\\\\text{Co-function Identity:}\qquad \dfrac{\cos 10 -\cos (90-10)}{\cos 10+\cos (90-10)}\\\\\\\text{Product to Sum Identity:}\quad \dfrac{2\sin (\frac{10+80}{2})\sin (\frac{80-10}{2})}{2\cos (\frac{10+80}{2})\cos (\frac{80-10}{2})}\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \dfrac{2\sin (45)\sin (35)}{2 \cos (45)\cos (35)}[/tex]
[tex].\qquad \qquad \qquad \qquad \qquad = \dfrac{2(\frac{\sqrt2}{2}) \sin (35)}{2(\frac{\sqrt2}{2}) \cos(35)}\\\\\\.\qquad \qquad \qquad \qquad \qquad = \tan (35)[/tex]
LHS = RHS: tan 35 = tan 35 [tex]\checkmark[/tex]
A cylindrical waste can has a volume of 5, 667.7cubic inches and its base has a radius of 9.5 inches. Find the height of the waste can. Round to the nearest tenth .
Answer:
height of the waste is 20.0 inches.
Step-by-step explanation:
given data
volume = 5, 667.7cubic inches
radius = 9.5 inches
solution
we use here volume of a cylinder is express as
V = πr²h .................1
put here value
5667.7 = (3.14) × (9.5²) × h
solve it we get
h = 20 inch
so height of the waste is 20.0 inches.
Micheal has saved 22.40 cents Kevin saved 3/4 of the amount that micheal saved. Jack saved 5 times as much as kevin. What is the total amount of all three
Answer:
$151.20
Step-by-step explanation:
(22.40x0.75)+(22.40x5)+22.40=151.20
Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000. What is the explicit function that represents Mark's salary?
Answer:
65000(1.02)^n.
Step-by-step explanation:
Salary = 65000(1.02)^n where n is the number of years he has worked for the company.
So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.
The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
What is an exponential function?The mathematical expression f(x)=exp or e^x denotes the exponential function.
The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.
The exponential function for the salary will be written as:-
[tex]Salary = 65000(1.02)^n[/tex]
where n is the number of years he has worked for the company.
So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².
Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]
To know more about an exponential function follow
https://brainly.com/question/2456547
#SPJ2
Please I need help please hurry I will mark brainliest
Step-by-step explanation:
Remember: the formula for solving for volumes:
l • w • h
An easy way to do this is to convert all the numbers to decimals.
3 1/2 = 3.5
5 1/4 = 5.25
4 = 4
Now, we can multiply.
3.5 • 5.25 • 4 = 73.5
Convert 0.5 to a fraction: 1/2
Our final answer: D: [tex]73 \frac{1}{2}[/tex]
4. 6t -5+5t = 105 (t = 4; t = 7;t = 10)
Answer:
t = 10.
Step-by-step explanation:
We can combine like terms, getting 11t - 5 = 105.
Add both sides by 5, getting 11t = 105 + 5 = 110.
We can then divide both sides by 11, getting t = 10.