Answer:
$7.16
Step-by-step explanation:
Jessica total purchas: $1.29 + $1.55 = $2.84
Jessica paid for her purchase with a $10 bill
Jessica cash received after purchase: $10.00 - $2.84 = $7.16
A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC
Step-by-step explanation:
Given
[tex]q + p = 2(q - p)[/tex]
as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,
[tex]qp = 675[/tex]
as equation 2.
Using equation 2,
[tex]q = \frac{675}{p} [/tex]
substitute this equation into equation 1.
[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]
Substitute P into equation 2.
[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]
Therefore the woman is 45 years old while her son is 15 years old.
#1: Find the volume of the cylinder below. Use 3.14 for . Round your answer to the nearest tenth, if necessary. *
Answer:
Volume of Cylinder=πr²h
22/7*2/1*2/1*5/1=
440/7=62.857 to nearest tenth
62.860, if u like u put the zero.
Part A
Juanita has an aquarium that is 5 feet long, 4 feet wide, and 2 feet deep.
What is the volume of the aquarium? Enter your answer in the box.
_______ft3
Part B
Juanita fills the tank with water so that it is 1 foot deep. What is the volume of the water?
_______ft3
Answer:
Part A: 40 cubic feet. Part B: 20 cubic feet
Step-by-step explanation:
Part A: 5×4×2 = 40 feet3
Part B: 5×4×1 = 20 feet3
Find the volume of a pyramid with a square base with a perimeter of the base is 5.7 cm in the height of the pyramid is 8.6 
Answer:
try 28.4 inches to the 3rd power
Step-by-step explanation:
please help 100 points to whoever gets it right
Answer:
i think its D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the length of the hypotenuse?
11 cm
60°
Answer:
19.7ft
Step-by-step explanation:
i just know
Answer: x=22.0 (nearest tenth)
Step-by-step explanation:
For this question you have to find out whether you are using Sin, Cos, Tan.
To which one you are using you can use SOH CAH TOA to help you.
SOH- The 'S' is for Sin and then the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cos, then the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tan, the 'O' and the 'A' is for Opposite over Adjacent.
Because we have the Adjacent (angle next to 60°) and the Hypotenuse we would be using Cos.
So first you would write:
Cos 60=11/x
Then we would have to do the inverse to 'undo' the equation to get x on it's own. This would then look like:
x Cos 60=11
Then we do the inverse again:
x=11/Cos 60
so, x=22.0 (to the nearest tenth)
Hope this helps :)
What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?
A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?
Find the z-table here.
(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)
Answer:
(0.69, 0.91)
Step-by-step explanation:
Hope this helps!
The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:
CI = p ± z√((p(1-p))/n)
where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).
Substituting the values, we get:
CI = 0.8 ± 2.576√((0.8(1-0.8))/90)
Simplifying, we get:
CI = 0.8 ± 0.102
Therefore, the 99% confidence interval for p is (0.698, 0.902).
To learn more about the confidence interval;
https://brainly.com/question/24131141
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The average petrol consumption of a vehicle is 1 gallon per 35 km. The cost of 1 litre of petrol is $49. Fund the cost of petrol for a journey of 280 km.
(take 1 gallon=4.5 litres)
Step-by-step explanation:
Total petrol consumption of the journey=
Total distance travelled ÷ Average petrol consumption
[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]
Given 1 gallon = 4.5 litres,
[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]
Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol
[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]
Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer
Answer:
I can't see the diagram could you attach it
Step-by-step explanation:
one can of waterproofer covers 100 square feet. you want to apply two coats of waterproofer to the wooden crates. How many cans of waterproofer do you need?
Answer:
Hello! its 1
Step-by-step explanation:
Find the measure of angle B
What’s the answer for this
the angle is 37 degrees
Answer:
36.87°
Step-by-step explanation:
tan x= opposite/adjacen
x=tan ^-1(300/400)
x=36.86989765
20 points! Please help me out here!
Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.
a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71
Someone help plz and plz make sure it’s right
Answer:
Ruffly 6.5
Step-by-step explanation:
a^2+b^2=C^2
In this case we need to find a so we do c^2-b^2.
9.8^2-7.3^2=42.75
Square root of 42.75 is ruffly 6.5
Answer:
6.5 km
Step-by-step explanation:
hypotenuse (h)=9.8km
base(b)=7.3km
perpendicular (p)=?
we know,
p^2 =h^2-b^2
p^2=(9.8)^2-(7.8)^2
p^2= 96.04-53.29
p^2=42.75
(p)^2=(6.5)^2
p=6.5km
A council tax bill costs £1920 annually if the bill is paid in monthly instalments how much will the payments be per month
Answer: 160
Step-by-step explanation:1920 divided by 12
Help ASAP! 40 points plus brainly !
Step-by-step explanation:
use the distance formula. calculate the distance between AB and then between CD showing AB = CD.
then use the distance formula on BC and AD, showing they are equal.
d=√((x_2-x_1)²+(y_2-y_1)²)
Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?
For a magic trick , Ashley has a classmate pick one card from a standard deck of cards . what is the probability of Ashley 's classmate selecting a heart ?
A . 1/4
B. 1/2
C. 1/25
D. 1/6
Answer:
1/4
Step-by-step explanation:
The sales tax on clothing in Louisiana is 4% . Calculate how much tax you need to pay on a dress if it costs $19.50 before before tax. Round your answer to the nearest cent.
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
9. Find the value of x
Answer:
13 = x
Step-by-step explanation:
Remark
The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.
You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360
A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360
Givens
Angles
3x+ 6,7x - 11, 62, 4x + 7 , 6x-5, 41The Total is 360 degrees
Solution
3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360 Combine like terms
20x + 100 = 360 Subtract 100 from both sides
20x = 360 - 100
20x = 260
x = 13
Check
3x + 6 = 457x - 11 = 80 624x + 7 = 596x - 5 = 73 41 Total 360if snoop drove 114 km in2 hr. what is his average speed
Answer:
57 km per hour is the average speed
Step-by-step explanation:
Wich set of ordered pairs does not represent a function.
Please help.
Answer:
D.
Step-by-step explanation:
A function has to have only one y-value for every x-value. This means that D is not a function because it contains (6,2) and (6, 4), which means that there are 2 different y-values for the x-value of 6.
A line passes through the point (-2,7) and has a slope of -5
Answer:
y - 7 = -5(x + 2) a = -1Step-by-step explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = -5
(-2, 7) ⇒ x₁ = -2, y₁ = 7
y - 7 = -5(x - (-2))
y - 7 = -5(x + 2)
(a, 2) ⇒ 2 - 7 = -5(a + 2)
-5 = -5a - 10
5a = 5 - 10
5a = -5
a = -1
What is the volume of the cylinder below? Write your answer in terms of π
Answer:
The answer would be 414 . good luck ^^
Find the area of the following shapes
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Max has sticks of lengths 6, 7, 8, and 10 inches. He wants to make a right triangle for an art project. Which 3 sticks should he use? 6 in., 7 in., and 8 in. 6 in., 7 in., and 10 in. 6 in., 8 in., and 10 in. 7 in., 8 in., and 10 in.
Answer:
6in, 8in and 10in
Step-by-step explanation:
For a right angled triangle :
The hypotenus, thee longest side in The triangle should be :
Hypotenus = sqrt((opposite² + adjacent²))
The most appropriate from the option would be :
6in, 8in and 10in
Hypotenus = sqrt((6² + 8²))
Hypotenus = sqrt(36 + 64)
Hypotenus = sqrt(100)
Hypotenus = 10
Answer:
C. 6 in., 8 in., and 10 in.
Step-by-step explanation:
Just did it on edge
i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.
Answer:
When the line intercepts the x axis, this means that y will be 0.
therefore the 2 coordinates the line passes through are (2,-5) and (4,0)
given equation of line:
y=mx+b
where m = slope
b = y-intercept.
Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.
slope of line = y1-y2 / x1 - x2
[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]
Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.
[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]
therefore equation of line will be:
[tex]y = \frac{5}{2} x - 10[/tex]
Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.
Answer:
[tex]1.2 \times 3.14[/tex]
Step-by-step explanation:
The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol
[tex]\pi[/tex]
Therefore, knowing the diameter d, the circumference is equal to d*π