Answer:
Cecilia=£3.20
Dave=£2.40
Step-by-step explanation:
-The sum of the ratios is:
[tex]\sum{Ratios}=4+3\\\\=7[/tex]
#To find out how much each pay, your multiply the individuals ratio divide by the sum of the ratios times the cost;
[tex]Cecilia=\frac{4}[7}\times 5.60\\\\=\£3.20\\\\Dave=Total- Cecilia's\\\\=5.60-3.20\\\\=\£2.40[/tex]
Hence,Cecilia pays £3.20 and Dave pays £2.40
whats 2+2-1+4x4-12-7
Answer:
is the answer 0
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
2+2-1+4x4-12-7
4-1+4x4-12-7
3+4+4x4-12-7
7+4x4-12-7
11x4-12-7
44-12-7
32-7
25
hope help :) .^.
All possible outcomes for flipping a coin three times are listed below (hhh,hth,hht,tth,tht,htt,ttt what is the probability of obtains at least 2 heads
Final answer:
To find the probability of getting at least 2 heads in three coin tosses, count the favorable outcomes (HHH, HHT, HTH, THH) and divide by the total outcomes. The probability is 4/8 or 1/2, which is 50%.
Explanation:
The question asks to calculate the probability of getting at least 2 heads when flipping a coin three times. The sample space for three coin tosses consists of 8 possible outcomes: {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. To find the probability of getting at least 2 heads, we need to count the favorable outcomes which are: {HHH, HHT, HTH, THH}, and then divide this number by the total number of possible outcomes.
There are 4 favorable outcomes out of 8 possible, so the probability is 4/8 or 1/2. Therefore, the probability of obtaining at least 2 heads in three coin tosses is 0.5 or 50%.
Find the Volume of the cylinder. Either enter an exact answer in terms of pie or use 3.14 for pie.
Can someone help me with this pls :(
Answer:
Step-by-step explanation:
we know that the formula for the volume of cylinder is
=[tex]\pi r^{2} h[/tex]
Given
radius(r) = 4
height(h) = 10
NOW
Volume = [tex]\pi r^{2} h[/tex]
= [tex]\pi *4^{2} *10[/tex]
=[tex]160\pi units^{3}[/tex]
or
if we use the value of pie then its answer is
= 160 * 3.14
= 502.4[tex]units^{3}[/tex]
Hope it was helpful:)
A filing cabinet has a height of 6 feet and a length of 2 feet. The volume of the filing cabinet is 36 cubic feet. What is the width of the filing cabinet?
Answer:
3 feet
Step-by-step explanation:
GIVEN: A filing cabinet has a height of [tex]6\text{ feet}[/tex] and a length of [tex]2\text{ feet}[/tex]. The volume of the filing cabinet is [tex]36\text{ feet}^3[/tex].
TO FIND: What is the width of the filing cabinet.
SOLUTION:
Let the width of filing cabinet be [tex]x\text{ feet}[/tex]
length of filing cabinet [tex]=6\text{ feet}[/tex]
height of filing cabinet [tex]=2\text{ feet}[/tex]
Volume of filing cabinet [tex]=\text{length}\times\text{height}\times\text{width}=36\text{ feet}^3[/tex]
putting values,
[tex]6\times2\times x=36[/tex]
[tex]12\times x=36[/tex]
[tex]x=3[/tex]
Hence the width of filing cabinet is 3 feet.
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
THE ANSWER WOULD BE 40 × d
or 40d
In Sakura's garden, for every 555 red flowers, there are 101010 yellow flowers. There are a total of 757575 yellow and red flowers in her garden. How many red flowers are in Sakura's garden?
Answer:
There are 25 red flowers in the garden.
Step-by-step explanation:
In this problem we have a common issue where the number is repeated 3 times in questions. So I'll sove it using the ratio 5 reds to 10 yellows and the data that there are 75 yellows and red flowers in the garden.
Since we know that for every 5 red flowers in a garden there are 10 yellow ones, then the ratio of yellow flowers to red flowers is
ratio = red/yellow = 5/10 = 1/2
yellow = 2*red
Since there are 75 yellow and red flowers in the garden we have:
yellow + red = 75
2*red + red = 75
3*red = 75
red = 75/3 = 25
There are 25 red flowers in the garden.
Answer:
25
Step-by-step explanation:
in 56 years,Kevin will be 9 times as old as he is right now .
How old is he right now ?
Answer:
Kevin is 7
Step-by-step explanation:
In 56 years if Kevin is 7 now he will be 63 and 7X9 = 63
a) What are the key aspects of any parabola? What do the key aspects tell you about the graph
Answer:
Vertex of parabola
Step-by-step explanation:
The red dot shows the extreme of parabola that is known as vertex.
Here are the first five terms of Fibonacci sequence.
4, 4, 8, 12, 20
a) Write down the next two terms in the sequence ... , ...
The first three terms of a Fibonacci sequence are
n, 3n, 4n
b) Find the sixth term of this sequence
Answer:
a) 32, 52
b) 18n
Step-by-step explanation:
a)
12+20=32
20+32=52
b)
4th element = 3n+4n=7n
5th element = 4n+7n=11n
6th element = 7n+11n=18n
Answer:
a) 32, 52
b) 18n
Step-by-step explanation:
because 7n+n
3n+7
4
Which measurement statement is correct?
There are 2 cups in a pint.
There are 2 pints in a cup.
There are 4 quarts in a pint.
There are 4 pints in a quart.
Answer:
There are 2 cups in a pint is correct
The correct measurement statement is that there are 4 pints in a quart. This conclusion is derived from understanding the relationship between cups, pints, and quarts in the customary system of measurement.
Explanation:The correct measurement statement among the options provided is that there are 4 pints in a quart. This is because, in the customary system of measurement, one quart (qt) is equivalent to two pints (pt), and a pint is equivalent to two cups (c). Therefore, the relationship among these units of measure can be summarized as follows:
1 quart = 2 pints1 pint = 2 cupsThus, when we compare cups, pints, and quarts, we establish that the conversion factors are essential for accurate measurement in different scenarios, whether it be for cooking or scientific measurements.
The American Academy of Family Physicians released a survey, revealing that 76% of US adults admit they lie to their doctor about how often they exercise. Dr. Moffett believes the percentage seems high, so she decides to conduct her own hypothesis test to determine the true proportion. What should she write as the null and alternative hypotheses for this situation?
Answer:
H₀: p=0.76
Ha :p < 0.76
Step-by-step explanation:
A null hypothesis is the common accepted fact that the researcher works to prove it wrong. In this case, the survey revealed that 76% of US adults admit they lie to their doctor about how often they exercise. This forms the null hypothesis.
The alternative hypothesis suggest that a new theory is happening unlike the original one.In this case, Dr. Moffett believes the percentage seems high, so the alternative hypothesis is that the percentage is lower than 76%
Answer:
H0: p = 0.76; Ha: p < 0.76
Step-by-step explanation:
I took the quiz and got it right
Plz help asap!!!!!!!!!!!!!!!!!!!
Answer:
A) 0.685
Step-by-step explanation:
P(no snow) = 1 - P(snow)
1 - 0.315
0.685
Marianne opened a retirement account that has an annual yield of 5.5%. She is planning to retire in 25 years. How much should she put into the account each month so that she will have $500,000 when she retires?
Answer:
Monthly deposit, P = $776.41
Step-by-step explanation:
Interest rate per annum = 5.5%
number of years = 25
Since she pays monthly, number of payments per annum = 12
Interest rate per period, r = (Interest rate per annum)/(number of payments per annum)
r = 5.5%/12 = 0.46%
Number of periods, n = number of years * number of payments per annum
n = 25 * 12 = 300
Future value of annuity, FVA = $500,000
Monthly deposit will be:
[tex]P = \frac{(FVA) * r}{(1+r)^{n} -1} \\P = \frac{(500000) * 0.46/100}{(1+0.46/100)^{300}-1 }[/tex]
P = $776.41
Answer:
MP = $778.77
she should put $778.77 into the account each month
Step-by-step explanation:
This problem can be solved using the compound interest formula;
FV = MP{[(1+r/n)^(nt) - 1]/(r/n)} .......1
Where;
FV = Future value
MP = monthly contribution
r = yearly rate
n = number of times interest is compounded per year.
t = number of years
Given
FV = $500,000
t = 25 years
r = 5.5% = 0.055
n = 12 months/year
From equation 1, making MP the subject of formula;
MP = FV/{[(1+r/n)^(nt) - 1]/(r/n)}
Substituting the given values we have;
MP = 500,000/(((1+0.055/12)^(12×25) -1)/(0.055/12))
MP = $778.77
she should put $778.77 into the account each month
A line segment has end points at (4, -6) and (0, 2) what is the slope of the given like segment
Answer:
The slope is -2
Step-by-step explanation:
-6-2/4-0=-8/4=-2
Answer:
The slope is -2
Step-by-step explanation:
We can find the slope of a line given two points using
m = (y2-y1)/(x2-x1)
= (2 - -6)/(0 -4)
= (2+6)/(0-4)
= 8/-4
= -2
A bridge over a river has the shape of a circular arc. The span of the bridge is 24 meters. (The span is the length of the chord of the arc.) The midpoint of the arc is 4 meters higher than the endpoints. What is the radius of the circle that contains this arc
Answer:
20 meters
Step-by-step explanation:
Seeing the image attached, we can observe that there is a triangle formed by half of the chord of the arc, the radius (hypotenusa) and part of the radius (r-4). Using pythagoras theorem in this triangle, we have:
(r-4)^2 + 12^2 = r^2
r^2 - 8r + 16 + 144 = r^2
8r = 160
r = 20
So the radius of the circle that contains this arc is 20 meters.
Answer:
20 m
Step-by-step explanation:
radius 'r', half the chord, and dist from center to the chord has formed a right angle triangle
where,
r is hypotenuse
(r-4) = one side i.e dist from center to chord)
12 = other side i.e half the length of the chord)
By applying Pythagoras theorem, we will have
r² = 12² + (r-4)²
r²= 144 + r² - 8r + 16 --->(cancel out r²)
0 = -8r + 160
8r = 160
r = 160/8
r = 20 m
Thus, the radius of the circle containing this arc is 20m
You can also verify this :
distance from center to chord: 20 - 4 = 16
r = [tex]\sqrt{16^{2}+12^{2} }[/tex]
r = 20
Mrs.Long wants to rent a bounce house for her owens birthday. Inflate a rentals charges a 145 fee plus 35 per hour. If Mrs. Long paid 355 total, how many hours did she rent the bounce house for
Answer:
The correct answer is 6 hours.
Step-by-step explanation:
Let Mrs. Long rent the bounce house for x hours.
Fixed price to be charged is 145.
Per hour price of the bounce house is 35. Total price of x hours is 35x.
Thus total amount charged by the rentals is 145 + 35x.
Mrs. Long paid 355 in total.
∴ 145 + 35x = 355
⇒ 35x = 210
⇒ x = 6.
Thus Mrs. Long rented the bounce house for 6 hours.
y=−5x+7 coordinates of x intercept
Answer:
The x intercept is (7/5,0)
Step-by-step explanation:
y=−5x+7
To find the x intercept, set y=0 and solve for x
0 = -5x+7
Subtract 7 from each side
0-7 = -5x+7-7
-7 = -5x
divide each side by -5
-7/-5 = -5x/-5
7/5 =x
The x intercept is (7/5,0)
what is coterminal angle
Answer: Angles who share the same initial side and terminal sides.
Which dimensions can create more than one triangle? A. Three angles measuring 75 degrees, 45 degrees, and 60 degrees. B. Three sides measuring 7m, 10m, 12m. C. Three angles measuring 40 degrees, 50 degrees, 60 degrees. D. Three sides measuring 3 cm, 4cm,5cm
The answer is C
Because the sum of the angles are not up to 180
which makes way for other angles.
Option B, three side lengths measuring 7m, 10m, and 12m can create more than one triangle because there are multiple ways the sides can be oriented to create different internal angles, therefore creating multiple triangles.
The question is about constructing triangles from given dimensions and determining which sets of dimensions can create more than one triangle. In geometry, for a set of dimensions to produce more than one unique triangle, it must not fully determine the shape of the triangle. The axiom that the sum of the angles in a triangle is exactly 180 degrees is key to answering part of this question. Here are the evaluations based on the given options:
A set of angles that sum to 180 degrees will only create one unique triangle.For three given side lengths, as in option B, if they satisfy the triangle inequality theorem (the sum of the lengths of any two sides must be greater than the length of the remaining side), they will create a unique triangle.A set of angles less than 180 degrees does not create a valid triangle.For three given side lengths that form a right triangle (such as a 3-4-5 triangle), if they also satisfy the Pythagorean theorem, they will create a unique triangle.Upon evaluating the provided dimensions:
Option A: Angles of 75 degrees, 45 degrees, and 60 degrees sum to exactly 180 degrees, forming one unique triangle.Option B: Sides measuring 7m, 10m, 12m can create more than one triangle due to the possibility of different internal angles based on different orientations of the sides.Option C: Angles of 40 degrees, 50 degrees, and 60 degrees only sum to 150 degrees, so no valid triangle can be created.Option D: Sides measuring 3 cm, 4 cm, 5 cm form a unique right triangle, not more than one.Therefore, the correct answer is B: Three sides measuring 7m, 10m, 12m can create more than one triangle.
From least to greatest, what are the measures of the next two angles with positive measure that are coterminal with an angle measuring 250°?
Answer:
610 and 970
Step-by-step explanation:
Answer:
610 and 970
Step-by-step explanation:
Three identical bags each contain two marbles. One bag has two white marbles, one has two black marbles, and one has one of each. You are given a bag at random and draw a white marble. What fraction of the time will the second marble you draw from that bag also be white?
Answer:
2/3
Step-by-step explanation:
Create a rational expression that satisfies the following criteria: 1) Domain is all reals except 1 and -1 2) x=1 is a vertical asymptote 3) X = -1 is a hole 4) There is a horizontal asymptote at y = 3
Answer:
y = (3x² + x - 2)/(x² - 1)
Step-by-step explanation:
(x - 1)(x + 1) = x² - 1
In the denominator
f(x)/(x² - 1)
f(x) has a factor (x + 1)
3 + (x + 1)/(x² - 1)
(3x² - 3 + x + 1)/(x² - 1)
y = (3x² + x - 2)/(x² - 1)
Which is the best estimate for (6.3 times 10 Superscript negative 2 Baseline) (9.9 times 10 Superscript negative 3 Baseline) written in scientific notation?
Final answer:
The best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.
Explanation:
To find the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) written in scientific notation, you need to multiply the coefficients and add the exponents.
The product of 6.3x 10⁻² and 9.9 x 10⁻³ can be calculated as (6.3 x 9.9) x (10⁻² x 10⁻³). The coefficients multiply to give 62.37 (approximately), and the exponents add to give -5.
Therefore, the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.
The miles-per-gallon obtained by the 1995 model Z cars is normally distributed with a mean of 22 miles-per-gallon and a standard deviation of 5 miles-per-gallon. What is the probability that a car will get less than 21 miles-per-gallon?
Answer:
0.42074
Step-by-step explanation:
In this question, we are asked to calculate the probability that a car will get less than 21 miles per gallon.
This is P(x < 21)
z = 21-22/5 = -1/5 = -0.2
Therefore the probability of getting less than 21 miles per gallon will be;
P(x<21) = P (z < -0.2)
= 0.42074
The population of Leavetown is 123,000 and is decreasing at a rate of 2.375% each year.
What will the population of Leavetown be 100 years from now?
The population of Leavetown after 100 years would be 111,17.5681.
Step-by-step explanation:
Given that,
Initial Population = I = 123,000
Decreasing Rate = r = 2.375 = 0.02375
We have to find the population after 100 years. So,
n = 100
The formula to calculate the population (P) after n years with a decreasing rate r is:
[tex]P = I (1-r)^{n}[/tex]
Now, put the values in this formula.
[tex]P = 123,000 (1-0.02375)^{100}[/tex]
[tex]P = 123,000 (0.97625)^{100}[/tex]
[tex]P = 11117.5681[/tex]
Hence, the population of Leavetown after 100 years would be 111,17.5681.
A school is selling tickets to a choral performance. On the first day, the school sold 6 adult tickets and 6 child tickets for $102. The school took in $96 on the second day selling 12 adult tickets and 3 child tickets. How much does each ticket cost ?
Answer:
adult $5
child $12
Step-by-step explanation:
make the adult as x and child as y.
this will makes 6x + 6y = 102
12x + 3y = 96
solve it and the answer comes out.
Amelia used 6 liters of gasoline to drive 48 kilometers.
At that rate, how many liters does it take to drive 1 kilometer?
liters
Answer:
Part 1: 8 km per liter
Part 2: 0.125 liters per km
Step-by-step explanation:
Part 1:
6x=48
x=48/6
x=8
Part 2:
8km per liter
?liters per km
1/8 = 0.125
0.125 liters per kilometer
What is the first quartile of the box-and-whisker plot
Answer:
Between 36 and 38
Answer:
girl, is that USA Test Prep???
im doing that also!!
i think its between 36 and 38 basically.
Step-by-step explanation:
hope it helps i guess!! <33
find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular. a.1; no b.1;yes c.2; no d.2; yes
Answer:
c. 2; no
Step-by-step explanation:
The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.
(3, 5)·(4, -2) = (3)(4) +(5)(-2) = 12 -10 = 2
When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)
The appropriate choice is ...
2; no
Final answer:
The inner product of the vectors (3,5) and (4,-2) is 2. As the dot product is not zero, the vectors are not perpendicular. Therefore, the correct answer is c.2; no.
Explanation:
To find the inner product of two vectors, we use the dot product formula. The dot product of two vectors u = (a1, b1) and v = (a2, b2) is calculated as u · v = a1 × a2 + b1 × b2. For the vectors (3,5) and (4,-2), we calculate as follows:
Inner product = 3 × 4 + 5 × (-2) = 12 - 10 = 2.
Two vectors are perpendicular if their dot product is zero. Since the dot product here is 2, not zero, the given vectors are not perpendicular.
Therefore, the correct answer is: c.2; no.
What is the slope of the linear function represented in
the table?
-7
-1/7
1/7
7
Answer:
the answer is C. (1/7)
Step-by-step explanation:
I did it on edge