Answer:
Step-by-step explanation:
Simon spends £28 over 7 days. Each day, he spends 50p more than the previous day.
How much did Simon spend on day 1?
The amount of money Simon spent on day 1 of the 7 days is that;
He spent £25 on the first day.
We are told he had spent £28 over 7 days.Each day, he spends 50 pence more than the previous day. This means that;
From conversion,1 pound = 100 pence
Thus, 50 pence = (50 × 1)/100 = £0.5
If the money he spent on the first day is £x.On second day, he would have spent a total of; £(x + 0.5)On third day; x + 0.5 + 0.5= x + 1On fourth day; x + 1 + 0.5 = x + 1.5On fifth day; x + 1.5 + 0.5 = x + 2On sixth day; x + 2 + 0.5 = x + 2.5On seventh day; x + 2.5 + 0.5 = x + 3Thus; x + 3 = 28x = 28 - 3
x = £25
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PLEASE THIS IS THE LAST QUESTION I HAVE
Answer:
=468 m^2
Step-by-step explanation:
Surface area of a prism is
SA = 2 (lw + wh + hl) where l is length, w is width and h is height
SA = 2 ( 12*6 + 6*9 + 9*12)
= 2 ( 72+54+108)
= 2(234)
=468 m^2
if AB=x+4, BC=2x-10, and AC=2x+1, then find the value for AC.
Arianna saw 10 blue, 8 red, and 42 white cars drive by her house in 1 hour. What is the experimental probability of her seeing a white car?
number of blue car = 10
number of red car = 8
number of white car = 42
The experimental probability of seeing a white car can be calculated below
\(p(w)=\frac{\text{ number of white car}}{\text{total number of car }}=\frac{42}{10+8+42}=\frac{42}{60}=\frac{21}{30}=\frac{7}{10}\)You are selling candy bars for the school to
pay for your senior trip which costs $300. If
each candy bar costs $1.25 and you already
have $50 in sales. How many more candy
bars do you need to sell?
Answer:
200 bars
Step-by-step explanation:
$300 - $50 = the amount of money you still need, $250
250 dollars/$1.25 per bar = 200 bars you need to sell to get 300 dollars
Please i need your help
Answer:
it okay I can help you with that
4 1/2 - 1 2/3 = ?
what is the question mark ?
Answer:
17/6 LMK if you need a different form.
Step-by-step explanation:
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~ note : there are two possible slopes !
The ratio of dogs to cats at the pet store is 2:5. If there are 14 total pets, how many dogs and cats are there? *
Answer:
4 Dogs and 10 Cats
Step-by-step explanation:
2*2=4
5*2=10
4:10
Hope this helped!
Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answer: 0.655
Step-by-step explanation:
Let X be a random variable that represents percent of fat calories that a person in America consumes each day.
As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).
Sample size : n= 16
The probability that the average percent of fat calories consumed is more than 35:
\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)
Hence, Required probability =0.655
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Joyce saved $220 on an item that was 75% off what was the original price
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
The sum of two mixed fractions is 12 3/35
If one mixed fractions is 5 31/35 find the other mixed fraction.
let's convert the mixed fractions to improper fractions and then let's proceed.
\(\stackrel{mixed}{12\frac{3}{35}}\implies \cfrac{12\cdot 35+3}{35}\implies \stackrel{improper}{\cfrac{423}{35}} ~\hfill \stackrel{mixed}{5\frac{31}{35}}\implies \cfrac{5\cdot 35+31}{35}\implies \stackrel{improper}{\cfrac{206}{35}} \\\\[-0.35em] ~\dotfill\)
\(12\frac{3}{35}~~ + ~~x~~ = ~~5\frac{31}{35}\implies \cfrac{423}{35}+x=\cfrac{206}{35}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{423}{35}+x \right)=35\left( \cfrac{206}{35} \right)} \\\\\\ 423+35x=206\implies 35x=-217 \\\\\\ x=\cfrac{-217}{35}\implies x=\cfrac{-31}{5}\implies {\Large \begin{array}{llll} x=- 6\frac{1}{5} \end{array}}\)
to convert an improper fraction like -31/5 to a mixed fraction, well, first off, we nevermind the sign, so we only use 31/5 and then we divide 31 ÷ 5.
hmm 31 ÷ 5 gives us a quotient of 6, and a remainder of 1, we put the quotient upfront and the remainder as the numerator, with the old denominator and sign back in.
PreCalc work, Need help with writing piece wise functions with graphs level 2. Giving branliest.
The piece-wise linear functions can be written as follows:
\(f(x) = -0.5x + 3, x < 5\).\(f(x) = -5, x = 5\)\(f(x) = -x + 9, x > 5\).What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:
m = (2 - 3)/(2 - 0) = -0.5.
Hence the rule is:
\(f(x) = -0.5x + 3, x < 5\).
When x = 5, the function is constant at -5, hence:
\(f(x) = -5, x = 5\)
For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:
m = (2 - 3)/(7 - 6) = -1.
Then:
y = -x + b
When x = 6, y = 3, hence the y-intercept is given as follows:
3 = -6 + b
b = 9.
Hence the rule is:
\(f(x) = -x + 9, x > 5\).
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Which expression is equivalent to the given expression?
6y−12
Answer:
it is 6(y-2)
Step-by-step explanation:
Can someone tell me what is 3/20 x 100?
Answer:
15
Step-by-step explanation:
Answer:
300/20 = 15
Step-by-step explanation:
There are a number of ways to solve this problem, but I will show you the easiest way.
3/20 x 100/1 =
First, do 3 x 100. This gives you 300.
Next, do 20 x 1. This gives you 20.
So now, your answer is 300/20.
300 divided by 20 is 15, so this simplified version of 300/20 is 15!
300/20 = 15 (simplified)
Julio is making 30 flower bouquets.
4/5
of the bouquets are roses and the rest are tulips. How many bouquets are tulips?
Label the total to represent the problem.
what is the domain and range?
could someone help me with this and show work?
The volume of the shape is 490cm³
What is volume of prisms?A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.
The base of this prism is rectangular. The volume of a prism is expressed as;
V = base area × height
base area = 7 × 10 = 70cm²
height = 7cm
the volume of the shape = 70× 7 = 490cm²
therefore the volume of the shape is 490cm³.
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Elena family is driving on the freeway at 55 miles per hour.Andre's family is driving on the same freeway but not a constant speed.The table shows how far andre's family has traveled, d,on miles,every minute for 10 minutes.how many miles per minute is 55 miles per hour?who had traveled father after 5 minutes?After 10 minutes?How long did it take elena's family to travel as far as andre's family had traveled after 8 minutes?
-55 miles per hour represents 0.92 miles per minute (dividing 55 miles by 60 minutes).
-After 5 minutes:
- Elena's family had traveled 0.92 miles per minute*5 minutes = 4.6 miles
- Andre's family had traveled 5.1 miles
Therefore, Andre's family had traveled farther after 5 minutes
- After 10 minutes:
- Elena's family had traveled 0.92miles per minute*10 minutes= 9.2 miles
- Andre's family had traveled 9.1 miles
Therefore, Elena's family had traveled farther after 10 minutes
- To solve the final question we formulate the following equation:
0.92 miles/minute * x (time traveled by Elena's family) = 7.4 (distance traveled
by andre's family after 8 minutes)
Isolating x, we have:
x = 7.4 / 0.92
x= 8.04
Elena's family took 8.04 minutes to travel as far as andre's family had traveled after 8 minutes.
A square pyramid has a base edge of 1 meter. The height of each triangular face is 1 meter. What is the pyramid's surface area?
Answer:
A square pyramid has 5 faces: 1 square base and 4 triangular faces.
The area of the base is:
A = s^2
where s is the length of the base edge.
In this case, s = 1 m, so:
A = 1^2 = 1 m^2
The area of each triangular face is:
A = 1/2 * b * h
where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).
In this case, b = 1 m and h = 1 m, so:
A = 1/2 * 1 * 1 = 0.5 m^2
The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:
SA = A_base + 4 * A_triangles
SA = 1 + 4(0.5)
SA = 1 + 2
SA = 3 m^2
Therefore, the surface area of the pyramid is 3 square meters.
How much miles will the car use with 17 gallons of gas?
Answer:
from the graph we can see that
for 2 gallones - it can travell 70 miles
4 gallones - 140 miles
we will take the first case
2 gallones - 70 miles
17 gallones - ? miles
cross multiply
\( \frac{17 \times 70}{2} \)
= 595 miles
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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how much is root of five by root of five
Answer
5^5=25
Step-by-step explanation
What type of association does the following scatter plot represent?
Use the graph to determine the domain and range of the function.
Q
(-8,5)
20-
16-
-20-16-12-8-4
(-12,-11)
8-
st
-8-
-12-
-16-
-20
(1-1)
(-2,-4)
X
4 8 12 16 20
Q
5
hs
HEE
The domain is
(Type your answer in inte
The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}
How to determine the domain and the rangeFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
(-8,5) (-12,-11) (1-1) (-2,-4)
The domian is the set of the input values
Using the ordered pairs as a guide, we have
Domain = {-8, -12, 1, -2}
For the range, we have
The range is the set of the output values
So, we have
Range = {5, -11, -1, -4}
Hence, the range is {5, -11, -1, -4}
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help pls! I need the answer quickly and pls explain. thank you!
Answer:
h = 6\(\sqrt{3}\)
Step-by-step explanation:
The given is the special right triangle with angle measures : 90-60-30
and the side lengths for the given angles are represented by :
2a-a\(\sqrt{3}\)-a
the side length that sees 60 degrees is represented by a\(\sqrt{3}\) (h in this case)
the area of a triangle is calculated by multiplying height and base and that is divided by 2
a\(\sqrt{3}\)*a/2 = 18\(\sqrt{3}\) multiply both sides by 2
a^2\(\sqrt{3}\) = 36\(\sqrt{3}\) divide both sides by \(\sqrt{3}\)
a^2 = 36 find the roots for both sides
a = 6
since h sees angle measure 60 and is represented by a\(\sqrt{3}\)
h = 6\(\sqrt{3}\)
The scale drawing of a swimming pool has dimensions of 18 cm and 9 cm. If the drawing uses a scale of 6cm: 8ft, what is the area of the actual swimming pool?
The area of the actual swimming pool is 288 square feet
From the question, we have the following parameters that can be used in our computation:
Dimensions of scale drawing of a swimming pool = 18 cm and 9 cm. Scale of 6cm: 8ftThe area of the actual swimming pool is calculated as
Area = Product of dimensions
Using the scale measurement, we have
Area = 8 * 18/6 * 8 * 9/6
Evaluate
Area = 288 square feet
Hence, the area of the actual swimming pool is 288 square feet
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Find the value of xx, yy, and zz in the parallelogram below.
Answer: x = 36, y = 10, and z = -25
Step-by-step explanation:
99 and -3z +6 are same side interior angles, so they sum to 180 degrees.
99 -3z + 6 = 180
-3z = 75
z = -25
Opposite angles of a parallelogram are congruent
2x + 9 = -3x + 6
2x + 9 = 75 + 6
2x = 81 - 9
2x = 72
x = 36
9y + 9 = 99
9y = 90
y = 10
According to definition of parallelogram
opposite sides and angles are equalConsecutive sides have sum 180°\(\\ \rm\hookrightarrow 2x+9+99=180\)
\(\\ \rm\hookrightarrow 2x+108=180\)
\(\\ \rm\hookrightarrow 2x=72\)
\(\\ \rm\hookrightarrow x=36\)
2x+9=72+9=81And
-3z+6=81-3z=75z=-25And
9y+9=999y=90y=10Both EB and DY both have the same answer options.
Since DY is a perpendicular bisector of the triangle ABC, we have:
\(\begin{gathered} DB=AD=61.7 \\ DY=\sqrt{BY^2-DB^2}=\sqrt{64.2^2-61.7^2}\approx17.74 \end{gathered}\)