The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.
Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.
Division has two parts dividend and divisor.
Division is not commutative, meaning that a / b is not always equal to b / a.
Division is also not, in general, associative.
Division is traditionally considered as left-associative.
Division is right-distributive over addition and subtraction.
Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:
a/b
Now it is given that,
5 divided by 1/3
This can be expressed as,
5 divided by 1/3 = 5 ÷ 1/3
Since to convert the division of fraction into multiplication, we reciprocate the fraction
So, applying division we get,
5 ÷ 1/3 = 5 x 3
So, the multiplication equation is,
5 x 3
Now multiplying 5 and 3 we get,
5 x 3 = 15
this is the required multiplication equation of 5 divided by 1/3.
Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.
To learn more about Division :
brainly.com/question/28032495
#SPJ1
3 pens cost £2.25
5 folders cost £5.80
Chris wants to buy 30 pens and 30 folders.
He only has £60
Does Chris have enough money to buy 30 pens and 30 folders?
You must show how you get your answer.
Yes, Chris has enough money to buy 30 pens and 30 folders.
What is money?Money is a commodity that is widely accepted as a medium of economic exchange. It is the primary means of expressing prices and values; as currency, it circulates anonymously from person to person and country to country, facilitating trade; and it is the primary measure of wealth.Given:
3 pens cost £2.25.5 folders cost £5.80.Chris wants to buy 30 pens and 30 folders.He only has £60.So, the cost of 30 pens will be:
When: 3 pens = £2.25Then: 3×10 = £2.25×1030 pens = £22.5Similarly, the cost of 30 folders will be:
When: 5 folders cost £5.80Then: 5×6 = £5.80×630 folders = £34.8Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3
Given that Chris has £60.Therefore, yes Chris has enough money to buy 30 pens and 30 folders.
Know more about money here:
https://brainly.com/question/24373500
#SPJ9
An architect makes a scale model of a new sports hall, the model is measured 15cm(l),11.5 (w), 2.5cm (h). if the height of the hall is to be 7.5m, what is the scale being used
Scale being used = 1 : 300
It is given that the model measured the height as 2.5cm.
The height of the hall = 7.5 m = 750 cm
By using the formula
Scale to be used = size down/ Actual size
= 2.5/ 750
= 1/300
= 1 : 300
To know more about the Ratio and proportion refer to the link given below:
https://brainly.com/question/12024093
#SPJ4
Solve the equation x+ 4x-7 = 0 by completing the square. give your answers correct to 2 decimal places.
[tex] {x}^{2} + 4x - 7 = 0 \\ → {x}^{2} + 4x = 7[/tex]
Add the square of the half of the coefficient of the unknown(x) to both sides of the equation.
[tex] {x}^{2} + 4x + ( \frac{4}{2} {)}^{2} = 7 + ( \frac{4}{2} {)}^{2}[/tex]
[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + (2 {)}^{2} [/tex]
[tex] {x}^{2} + 4x + (2 {)}^{2} = 7 + 4[/tex]
Bring out x and 2 and square them as shown below:
[tex](x + 2 {)}^{2} = 11[/tex]
Now, square root both sides of the equation to find the value of x as shown below:
[tex] \sqrt{(x + 2 {)}^{2} } = \sqrt{11} [/tex]
Add a + or - sign since it is a quadratic equation
[tex]x + 2 = \binom{ + }{ - } \sqrt{11} [/tex]
[tex]x + 2 = \binom{ + }{ - } 3.3166[/tex]
[tex]x = - 2 + 3.166 [/tex] or
[tex]x = - 2 - 3.166[/tex]
Therefore:
[tex]x = 1.17[/tex] or
[tex]x = - 5.17[/tex]
to two decimal places.
How many solutions does the equation have? 4h + 2 = 3h - 7
Answer:
1 solution
Step-by-step explanation:
4h + 2 = 3h - 7
Subtract 3h from both sides:
(4h + 2) - 3h = (3h - 7) - 3h
h + 2 = -7
Then, subtract 2 from both sides to isolate h:
(h + 2) - 2 = (-7) - 2
h = -9
There is one solution, -9.
y² – 12y +?
can someone help me?
Answer:
+ 36
Step-by-step explanation:
assuming you require to make the terms into a perfect square.
using the method of completing the square
add ( half the coefficient of the y- term )² to y² - 12y
y² + 2(- 6)y + (- 6)²
= y² - 12y + 36
= (y - 6)² ← a perfect square
-2x + 14y = -29
x - 7y = 19
elimination process
Answer:
No solution
Step-by-step explanation:
Let's solve your system by elimination.
−2x+14y=−29;x−7y=19
Multiply the second equation by 2, then add the equations together.
(−2x+14y=−29)
2(x−7y=19)
Becomes:
−2x+14y=−29
2x−14y=38
Add these equations to eliminate x:
0=9
What is the value of x − 8 if x = −21?
−29
−13
13
29
Answer: 29
Step-by-step explanation:
-21 - 8 = 29
The reason why it's a positive instead of a negative is because when you have an even number of positives in an equation the answer will always be positive and vice versa.
Solve the problem and explain the process.
Answer:
2x + 2 + h.
Step-by-step explanation:
F(x+h) is f(x) where x+h replaces x:-
f(x + h) = (x + h)^2 + 2(x + h) - 3
[f(x+h) - f(x)] / h
= (x + h)^2 + 2(x + h) - 3 - (x^2 + 2x - 3) / h
= [x^2 + 2hx + h^2 + 2x + 2h - 3 - x^2 - 2x + 3] / h
= (2hx + h^2 + 2h) / h
= 2x + 2 + h
The limit of [f(x+h) - f(x)] / h as h ----> 0 is 2x + 2.
We refer to 2x + 2 as the derivative of x^2 + 2x - 3.
a = h/b, solve the formula for b
a = h/b
x b, both sides
ab = h
÷a
b = h/a
B = h/a
Hope this helps!
Answer: b = h/a
Step-by-step explanation: What you need to do is to get b by itself and to do that you have to move b to the other side because it's being divided by b. To do that you multiply by b on both sides.
1) ab = h
Now, isolate b by dividing a into both sides.
2) b = h/a
Now, you have b alone you know what b is equal to.
bill and jerry start at the same point. bill walks due west and jerry walks due east for 6 meters. they turn right and walk 3 more meters. who is closer to the north pole?
Nearer to the north pole is Bill.
The path that an object moves along is referred to as its direction. A feature's direction can alternatively be defined as its location in relation to another feature's position.
The four cardinal directions—north, south, east, and west—are often known by their first letters: N, S, E, and W. These directions are the four major points of a compass.
The cardinal points are another name for these four directions.
To know more about cardinal points from the link:
brainly.com/question/13437433
#SPJ9
From midnight to 7:00 am, the temperature dropped 0.8°C
temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?
Answer:
5.2
Step-by-step explanation:
add back 0.8 from 7 am temp which is 4.4 degrees.
Answer:
5.2 °C
Step-by-step explanation:
4.4°C + 0.8°C = 5.2°C
In what situation would a geometric model be better than a binomial model
Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).
The not common definition of the Geometric distribution is the variety of trials till the primary achievement.. The following is an instance for the distinction among the Binomial and Geometric distributions: If a own circle of relatives comes to a decision to have five youngsters, then the variety of girls (successes) within side the own circle of relatives has a binomial distribution. If the own circle of relatives comes to a decision to have youngsters till they have got the primary lady after which stop, the the variety of youngsters within side the own circle of relatives has a Geometric distribution . A variant at the Geometric distribution is counting the variety of failures till the primary achievement, after which the variety may be 0,1,2,... In the instance it might be counting the variety of boys within side the own circle of relatives earlier than the primary lady turned into born, and now no longer the entire variety of youngsters. The distinction among the 2 versions is usually 1.
Therefore, Binomial distribution describes the variety of successes k accomplished in n trials, wherein opportunity of achievement is p. Geometric distribution is a unique case of bad binomial distribution, wherein the test is stopped in the beginning failure (r = 1).
Learn more about Geometric model here:
https://brainly.com/question/19241268
#SPJ9
How do I solve this
calculate how many acres are in the southwestern 1/4 of the northern 1/2 of the eastern 1/2 of section 14.
Section 14 makes about 40 Acres.
640 acres make up a square mile.
Given are the southwest quarter, the northern half, and the eastern half.
Consider that 2x2x4=16.
640 divided by 16 equals 40 acres.
40 acres make up Section 14.
How do you estimate the value per acre?
At first appearance, the calculation for calculating price per acre (PPA) appears to be rather straightforward.It is calculated by dividing the value of your property (v) by the number of acres (a). Therefore, v / a = PPA. As an acre is already regarded as a squared number, you don't need to worry about squaring the measurement.
To learn more about Price per acre, visit:
https://brainly.com/question/24757172
#SPJ4
10.132 < x < 10.133 write down a possible value of x
Answer:
{x|10.132 < x < 10.133}
Step-by-step explanation:
I think this will be the answer
The required value of the variable x can be found as 10.1325.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is 10.132 < x < 10.133.
It implies that the value of x lies between 10.132 and 10.133.
Write the given numbers up to four decimal places as,
10.1320 and 10.1330
Then, the required value of x can be written as 10.1325.
Hence, the value of x can be found by writing the numbers in equivalent form as 10.1325.
To know more about linear inequality click on,
https://brainly.com/question/11897796
#SPJ2
find the quotient 37/7
Answer:
5
Step-by-step explanation:
quotient = divide.
37 / 7 = 5
Out of a bag of marbles, the theoretical probability of selecting purple is 2/3. If 120 marbles are in the bag, then how many are purple
Answer:
80
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{120}[/tex] To get 120 we needed to multiply 3 by 40, so we will multiple 2 by 40 to get 80.
A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
The absolute value inequality is
.
The acceptable range of heights of a guardrail are
cm to
cm.
A guardrail's acceptable height range is 99cm to 113cm and the definite absolute value inequality is as follows | h - 106cm | ≤ 7cm,
How to define an inequality? A statement stating that one quantity is less than or (greater than) another.An inequality solution is a number that, when replaced for the variable, makes the inequality true.We understand that the height must be 106cm with a maximum absolute deviation of 7cm.
As a result, the maximum height is:
106cm plus 7cm = 113cm
The bare minimum is:
99cm = 106cm -7cm
This is represented by the absolute value equation:
| h - 106cm | ≤ 7cm
In which h is the guardrail's height.
A guardrail's acceptable height range is 99cm to 113cm.
To know more about the inequality, here
https://brainly.com/question/25275758
#SPJ9
Five more than twice a number is equal to 3 more than triple a number. Write the equation and solve.
Answer:
Equation: 5 + 2x = 3x + 3 ; Answer: x = 2
Step-by-step explanation:
Try and re-reading the question until you truly grasp the concept of it or write an equation by reading each word and making sure the operations are suitable according to the text. Then, finally, simply just solve.
Hope this helps! :D
what is -7/8-(3/5) in the simplest form
The integer in simplest form in -59/40.
It is required to find the scientific notation.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given integer is
-7/8-(3/5)
We have to find the integer in simplest form.
According to given question we have
-7/8-(3/5)
=-7/8-3/5
Taking LCM of 8 and 5 we get,
LCM(8,5)=40
=-35-24/40
=-59/40
Therefore, the integer in simplest form in -59/40.
Learn more details about integer here:
https://brainly.com/question/15276410
#SPJ1
1-16 please help!!!!!!!!!!!!!!
Gordon invests $2,500 for 20 months at a simple interest rate of 12.4%. the amount of interest received is found by i=prt since r= 0.124. i=0.124 x p x t. what are p and t?
The p and t represent Principal and time and interest is 517.7
We are given the formula to find the interest. So, the formula is -
I = (PRT) ÷ 100
In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.
Keep the values in formula to calculate the interest -
As per the known fact, 12 months = 1 year
So, 20 months = (1 ÷ 12) × 20
20 months = 1.67 years
Interest = (2500 × 12.4 × 1.67) ÷ 100
Performing multiplication in numerator
Interest = 51,770 ÷ 100
Performing division to find the interest
Interest = 517.7
Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.
Learn more about calculations on interest -
https://brainly.com/question/25793394
#SPJ4
what is the measure of angle B if angle C is 34 degrees and angle A is unknown?
please help
The measure of the angle B is equal to 56°.
What is the measure of the missing angle of the a right triangle?
A right triangle is a triangle, of which one of the three angles is a right angle. In accordance with Euclidean geometry, the sum of the measures of the internal angle is equal to 180°. Then,
m ∠ A + m ∠ B + m ∠ C = 180°
90° + 34° + m ∠ B = 180°
124° + m ∠ B = 180°
m ∠ B = 180° - 124°
m ∠ B = 56°
The measure of the angle B is equal to 56°.
To learn more on right triangles: https://brainly.com/question/2869318
#SPJ1
If 3x +2y =24 what is the value of
6x +4y
————
3
Answer:
16 is correct Answer. Please mark me as brainlist answer.
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is the
midpoint of PQ. If RS = -3x + 38, and OP = 4x - 14, what is the measure of
RS?
Step-by-step explanation:
dyfyfyffufururrufuufguugvjiy
Step-by-step explanation:
i dont understand the answer noksf okay
If point A is located at (-7, 5) on a coordinate plane, and point B is located at (4, 5), what is the distance between the two points?
[tex] x_{ 1} = - 7 , x_{ 2} = 4 \\ y_{ 1} = 5 , y_{ 2} = 5[/tex]
Using the distance formula
[tex] \sqrt{(x_{2 } - x_{ 1} {)}^{2} + (y_{ 2} -y_{ 1} {)}^{2} } [/tex]
Substitute with the given values
[tex] \sqrt{(4 - ( - 7 {)}^{2} + (5 - 5 {)}^{2} } [/tex]
[tex] \sqrt{(11 {)}^{2} + (0 {)}^{2} } [/tex]
[tex] \sqrt{121 + 0} = \sqrt{121} [/tex]
[tex] \sqrt{121} = 11[/tex]
Therefore:
Distance [tex] = 11[/tex]
please help for these.
Step-by-step explanation:
also it is one to one since the inverse is y = x² given that x > or = to zero.
why?
Since the value inside of the square roo should be absolute value as negative numbers make the function complex.
convert the answer to litres. use 1m³=1000l
Answer: 1 L = 0.001 m³
Step-by-step explanation:
1m³ =1000 L
0.001 m³ = 1 L
Solve the system of equations : 5x - 2y = -1 and -15x + 6y = 3
Answer as an ordered pair:
Step-by-step explanation:
23+35
37+83=4733
24783+3747
Carlos is on a hike. He starts at 21 meters above sea level. He
stops at 6 meters below sea level. What is the difference in
elevation from when he started the hike to when he stopped?
Answer:
difference of 27 m
Step-by-step explanation:
starts at 21m and ends at -6m
21+x=-6
(rearrange so the X is by itself)
21+6=x x=27