3 calculators and 4 books cost £23
2 calculators and 3 books cost £16
Work out the price of a single calculator and a single book.
Price of a calculator =
Price of a book =
Answer:
Step-by-step explanation:
Let the calculators be C and the books be B.
3C + 4B = 23 and 2C + 3B = 16
3C = 23 - 4B 2(23 - [tex]\frac{4B}{3}[/tex]) + 3B = 16
C = 23 - 4B 46 - [tex]\frac{8B}{3}[/tex] + 3B = 16
3 46 - [tex]\frac{-8B + 3B }{3}[/tex]
There are three containers filled with different gases as shown.
Container Gas Density Container Dimensions
A Hydrogen - 0.09 mg/cm3 a cube with sides of 15 cm
B Helium - 0.175 mg/cm3 a rectangular prism with sides of 14 cm, 12 cm, 10 cm
C Nitrogen - 1.251 mg/cm3 a sphere with a diameter of 8 cm
What is the correct order of mass from least to greatest?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
As we know,
[tex] \sf \qquad density = \dfrac{mass}{volume} [/tex]
So, we can infer that :
[tex] \sf \qquad mass= {density} \cdot{volume} [/tex]
Now, let's calculate the mass of gases in each case :
Case A : Hydrogen ~[tex]\qquad \sf \dashrightarrow \:mass = 0.09 \times (15) {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \:mass = 0.09 \times 3375 {}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \:mass = 303.75 \: \: mg {}^{} [/tex]
or
[tex]\qquad \sf \dashrightarrow \:mass =0. 30375 \: \: g {}^{} [/tex]
Case B : Helium ~[tex]\qquad \sf \dashrightarrow \:mass =0. 175 \: \cdot \: (14 \sdot 12 \sdot10)[/tex]
[tex]\qquad \sf \dashrightarrow \:mass =0. 175 \: \cdot \: 1680[/tex]
[tex]\qquad \sf \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg[/tex]
or
[tex]\qquad \sf \dashrightarrow \:mass = 0.294 \: \: g[/tex]
Case C : Nitrogen ~[tex]\qquad \sf \dashrightarrow \:mass = 1.251\: \cdot \: \dfrac{4}{3} \cdot3.14 \cdot(4) {}^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \:mass = 0.417\: \cdot \: 803.84[/tex]
[tex]\qquad \sf \dashrightarrow \:mass = 335.201 \: \: mg[/tex]
or
[tex]\qquad \sf \dashrightarrow \:mass = 0.335 \: \: g[/tex]
So, the arrangement of masses from least to greatest is :
(1.) Hydrogen < (2.) Helium < (3.) NitrogenAnswer:
Helium<Hydrogen<Nitrogen
Step-by-step explanation:
2 = 400 4=1600 8=?
what is 8 based on the pattern
Answer:
6400
Step-by-step explanation:
they are being squared in the pattern
Jenn's carpool ride has been late 4 days out of the 20 days. what is the estimated probability, based on relative frequency, that her ride will be late tomorrow? a. 60% b. 20% c. 80% d. 40%
Answer:B 20 percent
Step-by-step explanation:
Select the best description for the sum of the expression below.
√10 + √26
A. rational
B. neither rational nor irrational
C. both rational and irrational
D. irrational
Answer:
D. Irrational
Step-by-step explanation:
Question:
Using only a compass and a straightedge, you are constructing a line perpendicular to AB and passing through a given point, M, on AB. With a compass of set width, you have drawn arcs that intersect AB on each side of M and marked the two intersection points as P and Q.
Options:
-P and set its width to M
-M and set its width beyond P
-P and set its width beyond M
-M and set its width to half the distance between P and M
The construction goes with P and set its width to M.
The correct option is (A).
What is perpendicular bisector ?
A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of figure.
Now, a line perpendicular to AB and passing through an external point M.
first step :Put the compass needle on M and, keep the compass width the same then draw two arcs that intersect AB.
Second step: After drawing arcs, from the intersecting points named P and Q.
Now, keeping the width of compass same as before and to the opposite side of M draw an arc named it as M'
Third step: Using straightedge draw line passes through M.
The lines which passes through M will be perpendicular to AB.
The above discussed are steps to draw perpendicular bisector of AB.
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Need help,added picture .Use the rectangle to find the lengths of the following sides if AC=26 and BC=10
1) Diagonals of a rectangle bisect each other, so AW=13.
2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.
3) Diagonals of a rectangle are congruent, so BD=26.
4) Opposite sides of a rectangle are congruent, so AD=10.
5) Using the Pythagorean theorem, BA=24.
Find f(-2) for the function f(x) = 3x2 - 2x + 7.
-13
1
-1
23
Answer:
23
Step-by-step explanation:
3(-2)^2-2(-2)+7
=23
A survey was given asking about preferred shopping methods.
. Of the 88 people surveyed without children. 73 prefer using a smart phone.
• of the 98 people surveyed with children. 67 prefer using a tablet
.
Complete the table for this situation
Device
Tablet
Phone
Total
Number of Children
Without Children 73
With Children
67
Total
104
82
186
Please help me
Answer:
Step-by-step explanation:
Without Children - 73 - 15 - 88
With Children - 31 - 67 - 98
Total - 104 - 82- 186
The required table for given situation as:
Without Children : 73 Phone + 15 Tablet = 88 Total Device
With Children : 31 Phone + 67 Tablet = 98 Total Device
Total : 104 Total Phone + 82 Total Tablet = 186 Total
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators.
Without Children : 73 Phone + 15 Tablet = 88 Total Device
With Children : 31 Phone + 67 Tablet = 98 Total Device
Total : 104 Total Phone + 82 Total Tablet = 186 Total
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Guys, I need the answer, please
The radius of a circle is 1 centimeter. What is the circle's area?
Answer:
6.28
Step-by-step explanation:
Find the diameter by multiplying the radius by 2, then multiply the diameter by Pi, which in your case is 3.14
R times 2= diameter
D time Pi= area
Area = 6.28
Please mark Brainliest
What kind of triangle appears to be formed
if one of two circles has a radius twice as long as the other how do the circumference compare.
It also illustrates a situation where different methods can lead to what appear to be entirely different answers, yet they may be identical. A circle O is circumscribed around a triangle ABC, and its radius is r. The angles of the triangle are CAB = a, ABC = b, BCA = c.
Which expresses this solution?
The equation that expresses the solution to the quadratic equation x² - 10x + 13 = 0 is [tex]x =5 \pm 2\sqrt{3}[/tex]
How to express the solution?The equation is given as:
x² - 10x + 13 = 0
The solution to a quadratic equation is represented by:
[tex]x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
So, we have:
[tex]x =\frac{10 \pm \sqrt{(-10)^2 -4 * 1 * 13}}{2 * 1}[/tex]
Evaluate the radicand
[tex]x =\frac{10 \pm \sqrt{48}}{2}[/tex]
Take the square root of 48
[tex]x =\frac{10 \pm 4\sqrt{3}}{2}[/tex]
Divide
[tex]x =5 \pm 2\sqrt{3}[/tex]
Hence, the equation that expresses the solution to the quadratic equation x² - 10x + 13 = 0 is [tex]x =5 \pm 2\sqrt{3}[/tex]
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Joel stands 15 meters away from the base of a
flagpole that is 11 meters tall. Joel's shadow is
2.7 meters long, and his shadow ends in the
same place as the flagpole's shadow (as shown).
How tall is Joel?
SHOW WORK. Round to two decimal places if necessary.
+
Answer: Its 28.7
Step-by-step explanation:
Answer:use camera math!
Step-by-step explanation:it helped me!it only works
On math though so you cant use it on any
Other subject hope this helped sorry
If it didn’t!
-How many real-number solutions does the equation have? 0=3x2-5x-5
a. one solution
b. two solutions
c. no solutions
d. infinitely many solutions
The equation 3x²-5x-5 will have two solutions.
What are real roots?If the value of x in the given quadratic equation is a real number then the roots of the equation are real.
The discriminant of the equation will be calculated as:-
= 3x ²- 5x - 5
D = b² - 4ac
D = ( 5 )² - 4 x 3 x -5
D = 25 - ( -60 )
D = 85
Since the discriminant is positive then the equation will have real roots and the degree of the equation is 2 so it will have two solutions.
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A box is shaped like a cube. The box has a length of 1 foot, a width of 1 foot, and a height of 1 foot. What is the volume of the box?
Answer:
1 cubic foot.
Step-by-step explanation:
Which expression is equivalent to n2 + 26n + 88 for all values of n?
(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)
Answer:
(n + 4)(n+ 22)
Step-by-step explanation:
One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.
Step #1: Multiply the first terms
(n + 4)(n + 22) ----> n x n = n²
Step #2: Multiply the inside terms
(n + 4)(n + 22) -----> 4 x n = 4n
Step #3: Multiply the outside terms
(n + 4)(n + 22) -----> n x 22 = 22n
Step #4: Multiply the last terms
(n + 4)(n + 22) -----> 4 x 22 = 88
Step #5: Write the new expanded equation and simplify
(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88
The tank for a car holds 20 gallons. the gpsoline suze shows
1
the tank is full. how much gas is still in the tank. give
4
your answer as a whole number or as a mived fraction
reduced to lowest terms.
Answer:
20 gallons
Step-by-step explanation:
The tank is at its full capacity, and its full capacity is 20 gallons. This means there is 20 gallons of gas in the tank.
Can someone help me with this question
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
The process of completing the square
The method of completing the square can be used to determine the vertex of a function. he unknown value is -162
Completing the square of a functionThe method of completing the square can be used to determine the vertex of a function.
Given the quadratic function
-2x² + 36x
-2(x²-18)
Complete the square
-2(x² - 18x + ( -9)²+ 9²)
-2(x-9)² + -2(81)
-2(x-9)² - 162
Compare
On comparing with the expression, you can see that the unknown value is -162
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an airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph what is its average speed for the total trip?
The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.
Then time taken for the first trip will be
t₁ = 867 / 612
t₁ = 1.4167 hours
Then time taken for the second trip will be
t₂ = 1984 / 744
t₂ = 2.6667 hours
Then the average speed is the ratio of the total distance to the total time.
The total distance will be
Total distance = 867 + 1984
Total distance = 2851 miles
The total time will be
Total distance = 1.4167 + 2.6667
Total distance = 4.0834 hours
Then the average speed will be
Average speed = 2851 / 4.0834
Average speed = 698.19 mi/h
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What is the surface area of this sphere? Use ≈ 3.14 and round your answer to the nearest hundredth.
the raduis is 2 yd
determine the value of sin theta + cos theta whole square is equal to 2 sin theta cos theta.
Answer:
That will be 1.
Step-by-step explanation:
Which term best describes the expression 5x2 + 6x + 4 ?
O Linear
O Quadratic
O Quartic
O Cubic
The spinner below is spun once, then a coin is tossed. find the probability of getting a shape with at least four sides, then tails
The probability of getting a shape with at least four sides, then tails will be 1/12.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The spinner below is spun once, then a coin is tossed.
Then the probability of getting a shape with at least four sides, then tails will be
For spinner
Favorable event = 5
Total event = 6
For a coin
Favorable event = 1
Total event = 2
P = 5/6 x 1/2
P = 5/12
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Xavier Brown works on a 40-hour week basis with time-and-a-half paid for overtime
work. Her regular-time hourly rate is $17.50. Last week she worked 43.5 hours from
Monday through Thursday and 8.5 hours on Friday. Complete all steps to find Xavier's
gross wages for last week.
With solution.
The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625
What is gross pay?The total amount earned by any worker with his basic pay like incentives allowances etc.
It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.
Last week she worked 43.5
The distribution of the work is given as:-
Monday Tuesday Wed Thursday Friday Total
9 Hours 9 Hours 8.5 8.5 8.5 43.5
So we have the total working hours = 43.5 hours
Weekly working hours are =40 hours
So for 40 hours she will be paid:-
Pay =40x17.50
Now extra hours or overtime is =43.5-40=3.5 hours
So the extra income will be half of the regular:-
Pay=3.5x({1}÷{2}) x17.5=$30.625
So total gross pay will be = $700+$30.625=$730.625
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3 lines Line 1: cap A tree standing vertically on level ground casts a. 72 foot long shadow period Line 2: If the angle of elevation from the end of the shadow to the top of the tree is Line 3: 34.6 degrees comma find the height of the tree to the nearest foot period
The height of the tree is 50 feet.
We have given,
cap A tree standing vertically on level ground casts a. 72feet.
We solve this by using trigonometry, the height of the tree to the nearest foot is 50 feets
What is the tan ratio?[tex]tan\theta = opposite / Adjacent[/tex]
Opposite = height, h
Adjacent, = 140 feets
Angle, θ = 19.8°
[tex]tan(19.8) = h / 140[/tex]
Cross multiply
[tex]h = 140 \times tan(19.8)[/tex]
h = 50.403 feets
Height, h = 50 feets (nearest foot)
Therefore, the height of the tree is 50 feets
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Plxx help mee giving brainlyist to the first to answer correctly
Answer:
0.9/3=0.3 First one
Step-by-step explanation:
0.9/3=0.3
The boxes are being divided into 3 equal parts and each section has 0.30 squares
Answer:
The answer is A: 0.9÷3=0.3
Step-by-step explanation:
The boxes are equally divided into thirds
What is the range of the following data values? 16, 23, 55, 64, 49 O A. 80 B. 48 C. 16 O D. 64 SUE
Answer:
B. 48.
Step-by-step explanation:
16, 23, 55, 64, 49
Range = highest value - least
= 64 - 16
= 48.
Three consecutive even numbers add up to 36. Select all of the following equations that will find the lowest number of the three.
x+(x+2)+(x+4)=36
(x+2)+(x+4)+(x+6)=36
2(x+1)=36
3(x+2)=36
3x=24
Equation A find the lowest number of the three. Equation A satisfies the given conditions.
What is even number?If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.
Assume the three consecutive integers are 2x,2x+2,2x+4
The sum of the three consecutive even numbers are 36;
x+x+2+x+4 = 36
3x+6=36
3x=30
x=10
The three integers are found as;
x =10
x+2 = 10+2 = 12
2x+4 =10+4=14
Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.
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pls answer im so desperate ill mark brainliest!! pls answer all three questions
Answer:
For the Third Question The answer would be D
Step-by-step explanation:
When u multiply 5×3=15
so 18^15/8 would be the correct answer
