9514 1404 393
Answer:
New York style: $14Chocolate Marble: $16Step-by-step explanation:
We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...
11n +7c = 266 . . . . . . . Rob's sale
4n +14c = 280 . . . . . . Amy's sale
The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...
(11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)
9n = 126 . . . . . . simplify
n = 14 . . . . . . . . divide by 9
Filling this into the first equation, we have ...
11(14) +7c = 266
7c = 112 . . . . . . . . subtract 154
c = 16 . . . . . . . divide by 7
One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.
How do you factor x^3-2x^2+3x-6
Answer:
(x - 2) (x^2 + 3)
Step-by-step explanation:
x^3-2x^2+3x-6
Factor by grouping
Answer:
Factor by grouping
Step-by-step explanation:
[tex]x^{3}-2x^{2} +3x-6[/tex]
[tex]x^{2} (x-2) + 3 (x-2)[/tex]
[tex](x^{2} +3)(x-2)[/tex]
Drag the word or expression to complete the function.
Answer:
-5 cos (2x)
Step-by-step explanation:
Reflection over x axis just means "multiply by -1" so the answer is
f(x) = 5 cos (2x)
g(x) = -5 cos (2x)
A bag contains 5 apples, 4 peaches, and 3 oranges. What is the probability of choosing an apple?
Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?
Answer:
It will take 15.029 years for element X to reach mass of 260 grams
Step-by-step explanation:
The half life period of radioactive element X is 26 years
The initial mass of radioactive element X is 260 grams
Elapsed time = half life * log (beginning amount /ending amount)/log 2
Substituting the given values, we get
Elapsed time = 26 * log (390/260)/log 2
= 15.209 years
1. Find y if log, y – 2 = log, 92.
Answer:
well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.
so y = 94
Name the ordered pair for point R
Can you post a picture please
can i please have some actual help with this?
Answer:
x = 286.01 inches
Step-by-step explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation, [tex]\theta=4^{\circ}[/tex]
We need to find the value of x. It can be solved using trigonometry as follow :
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]
So, the value of x is equal to 286.01 inches.
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
Convert r=2/7sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the blanks. Enter values so that fractions are simplified.
y=_/_x + _/_
Answer:
x²+y²=√(2/7 x-y)
is the answer, i think
What is the smallest number of people you need for
the probability to be 100 percent that at least two of
them were born in the same month?
1/3 divided by 7/6 can u solve it?????
Answer:
2/7
Step-by-step explanation:
when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7
Answer:
0.28571428571
Step-by-step explanation:
This is the calculated answer.
But after a lot of. technical,work the answer,ends up be 2/7
The price of an item has been reduced by 45%. The original price was $63.
Use the ALEKS calculator to find the price of the item now.
se]
?
Answer:
$28.35
Step-by-step explanation:
[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]
The Y-Axis on a Coordinate plane runs vertical.
Answer:
good
Step-by-step explanation:
So when you do the (,) things the x-axis would go first for example
say the x-axis=5 and the y-axis= 9 it would be (5,9)
hope this helps plz mark brainlest
Cami and Enrique's ages add up to 46. Cami is two years older than three times Enrique's age. How old are Cami and Enrique?
answer:
Cami is 35 and Enrique is 11
35 plus 11 = 46
How many solutions are there in the following system of equations? (
one solution, no solutions, infinitely many solutions)
- 8x + 2y = -16
4x - y = 10 PLEASW HELP
Answer:
No solutions
Step-by-step explanation:
-8x+2y = -16
4x-y = 10 [multiply by 2 so it is easier to add/subtract]
-8x+2y = -16
8x -2y = 20
0 = 4
0 and 4 cant be equal so theres no solution
Answer choices
18
25
30
40
Please help no links I will report
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53What is the value of (5)3?
Answer:
15
Step-by-step explanation:
This is simply just 5 x 3 = 15
I need help but the green is correct but I need help with the first 2 I need to turn this in 10 mins
Answer: see work
Step-by-step explanation:
Blue:
9-5+3x4
Red:
10+6/3+8x2
Answer:
Work
Step-by-step explanation:
Blue:
9-5+6-5
Red:
4+4+5
What is the volume of a sphere with a diameter of 22ft? Round your answer to the nearest cubic foot.
8359 cubic feet
6193 cubic feet
• 2786 cubic feet
5572 cubic feet
Answer:
D) 5,572
Step-by-step explanation:
4/3×pi×r^3
4/3×3.14×11^3
5572.453...
5572
(5x2 + 4x + 3) - (2x2 - 2x + 5)
Answer:
3x^2+6x-2
Step-by-step explanation:
(5x2 + 4x + 3) - (2x2 - 2x + 5)
5x^2+4x+3-2x^2+2x-5
3x^2+6x-2
10. What is the perimeter of the figure on the coordinate plane below?
A 32 units
B 24 units
C 22 units
D 14 units
Answer:
24 units
Step-by-step explanation:
Each line plot equals 2, so the length is 8 and the hight is 4. 8+8+4+4 = 16 + 8 = 24 units.
a gardener is growing tomato plants. one plant starts out 5 cm tall. it grows a constant 2 cm every week. what equation represents the height h of the plant after t weeks
a t= 5h+2
b t= 2h+5
c h=5t + 2
d h = 2t+5
Answer:
D) h=2t+5
Step-by-step explanation:
Solve the Inequality Give 5 solutions of the inequality ( Show your solution).
2x -3 < 5
Answer:
Inequality Form:
x<4
1<4
3<4
-1004<4
Interval Notation:
(−∞,4)
(-1004,4)
(3,4)
(1,4)
Step-by-step explanation:
someone please help me answer this!!
Answer:
c = 85 in is the answer.
Step-by-step explanation:
a = 36 in
b = 77 in
c = ?
According to the Pythagoras theorem,
a² + b² = c²
36² + 77² = c²
1296 + 5929 = c²
7225 = c²
c = 85 in
∴ c = 85 in is the length of the missing leg.
Please help I’ll mark you as brainliest if correct
Answer:
X=28
Step-by-step explanation:
If x=28 then the degrees of the corners are 26, 84, and 70
Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.
Answer:
x = 28
Step-by-step explanation:
Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:
180 - 26 = 154
So our two angles add up to 156, so we set up our problem like this:
3x + 2x + 14 = 154
So now we combine like terms:
3x + 2x = 5x
So now our equation is:
5x + 14 = 154
So now we just have to do the inverse operations thing:
154 - 14 = 140
140 ÷ 5 = 28
So, x = 28
if this is wrong, let me know so I can fix it
hope this helps:)
DUE IN THREE MINUTES
i give brainliest
factor each expression:
9+21
14+28
80+56
Answer:
Step-by-step explanation:
The secret trick to factoring is the greatest common factor.
The greatest common factor of 9 and 21 is 3. Thus, our expression is
3(3 + 7).
The greatest common factor of 14 and 28 is 7. Our expression is
7(2 + 4)
The greatest common factor of 80 and 56 is 8. This makes our expression
8(10 + 7).
BRAINLIST!!!
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
Answer:
If you think numbers with fractions are annoying, consider transforming the number into fractions!
Step-by-step explanation:
7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?
9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your reasoning
Answer:
No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is
√2:1
If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.
Julie runs 3 miles each morning. How far does she run in feet?
(1 mile = 5,280 feet)
Answer:
15,840 feet
Step-by-step explanation:
5,280*3 = 15840
Since she runs 3 miles each morning, and 1 mile is 5,280,
then you multiply 5,280*3