Mathematics Middle School
say for example your doing 5/ 1/4
1. switch the second number around and multiply
5 *4 ( the reciprocle of 1/4 = 4)
2. DO the multiplication and 5*4= 20
Look at these examples :
The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 31º. If the vertical distance from the bottom to the top of the
mountain is 902 feet, what is the length of the gondola ride? Round to the
A. 1751 feet
B. 1052 feet
c. 773 feet
D. 465 feet
The gondola will take about 11.3 minutes.
What is angle of elevation?
You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up.
The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It is measured from the horizontal line DC.
The distance from the gondola ride to the top of the mountain by noting that this distance is the hypotenuse of the right triangle formed by the side of the mountain and the ground.
sin 31° = 902 ft / x
The value of x is equal to 1751.33 ft.
To determine the amount of time it will take for the gondola to travel this distance,
we will divide the calculated distance by the speed,
Time = (1751.33 ft) / 155 ft/minute
Time = 11.3 minutes
Hence, the gondola will take about 11.3 minutes.
Learn more about this concept;
The answer is A.1751 feet
A shop sells vases holding 9 red roses and 6 white roses. The expression 9v + 6v represents the total number of roses needed for v vases. Simplify the expression by combining the like terms.
i believe the answer is 15 v
the like terms are 9 & 6 and v & v right?
hope this helps
Which type of data is discrete data? Select all that apply. the weights of 20 men
the number of members present at the meeting
the number on a basketball player's uniform
the length of the caterpillar
the height of high school seniors
Number 2 and 3 I think
The graph of f(x) = |x-h| + k contains the points (-6, -2) and (0, -2). The graph has a vertex at (h,-5). Describe
how to find the value of h. Then, explain how this value
translates the graph of the parent function.
The vertex of a graph is the maximum or minimum point on the graph.
- The value of h is -3
- The parent function is shifted left by 3 units, and shifted down by 5 units.
The given parameters are:
The general absolute function is:
Substitute and in
Add 5 to both sides
Remove absolute bracket
Add 6 to both sides
From the given parameters, the graph cross the x-axis at x = -6 and x = 0
So, the value of h must be between these x-values
Hence, the value of h is -3
This means that, the parent function is shifted left by 3 units, and shifted down by 5 units.
Read more about transformation of absolute functions at:
How to do it:
To find the value of h, you must find the midway point between the 2 x coordinates given. With the two given coordinates, (-6, -2,) and (0, -2,) the midway point would be -3. Because the distance between -3 and -6 or 0 is 3 units, and the coordinates given started at -2, the y coordinate would be -5. In conclusion, the answer would be (-3, -5.)
Disclaimer: my y coordinate may not be correct, however the x is all that the question is asking for, and I've already completed it. The x is 100% correct.
Find the circumference and area of a circle with a diameter of 26 meters. Leave your answers in terms of it
C= D x 3.14(pie)
C= 26 x 3.14
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? A. Greg weighs 200 pounds, and Justin weighs 185 pounds. B. Greg weighs 190 pounds, and Justin weighs 175 pounds. C. Greg weighs 180 pounds, and Justin weighs 165 pounds. D. Greg weighs 170 pounds, and Justin weighs 155 pounds.
C. Greg weighs 180 pounds, and Justin weighs 165 pounds
let G be the weight of Greg and J be the weight of Justin
G =J+15 (1)
If We substitute G by J+15 in equation (2) we will get:
then J=165 and G=165+15=180
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail's age?
35 - 9 = 26 so mikhail is 26
Mikhail is 26
35 = m+m+9
35-9 = m+m
26 = m+m
26/2 = 13
Answer 35 = 13+13+9
Please Help! Question 4 (1 point)
Aneesha used linear combination to solve the system of equations shown. She did so
by multiplying the first equation by 5 and the second equation by another number to
eliminate the y-terms. What number did Aneesha multiply the second equation by?
Place the indicated product in the proper location on the grid. (a^x - b^y)(a^x + b^y)
Polynomial Notable Products
Some products of polynomials are so frequent that the literature has compiled them into a special set of formulas for the mathematicians to easily use them. One of the best-known formulas is the so-called product of the sum by the difference of binomials, i.e.
We are given the following expression
Applying the formula:
According to online realtor Zillow a 30 year $200,000, 4.5%, fixed rate mortgage on your house will currently set your estimated monthly payments at about $1,020 per month. A 15-year fixed rate $200,000 mortgage would drop to 4.0% with monthly payments of $1,480. Approximately how much would the 15-year fixed rate mortgage save you over the length of both loans?
The 15-year mortgage option will save $ 100,800 more than in the case of the 30-year mortgage.
To determine the amount saved by acquiring the 15-year mortgage instead of the 30-year mortgage, we must calculate the total payments to be made.
In the case of the 30-year mortgage, with a fixed rate of 4.5%, monthly payments of $ 1,020 per month must be made. Then the total payment is calculated as,
Then the difference regarding the loan is,
difference = $367,200 - $200,000
difference = $167,200.
Now, in the case of the 15-year mortgage, with a 4% rate, the monthly payments will be $ 1,480.
Then , the total final payment is,
= 1,480 x 12 x 20
= $ 266,400
so in this case, the difference from The loan will be,
= $ 66,400.
Thus we can conclude that, between both loans, the 15-year option will save $ 100,800 more than in the case of the 30-year mortgage.
Learn more about the loans and mortgage here:
To determine the amount saved by acquiring the 15-year mortgage instead of the 30-year mortgage, we must calculate the total payments to be made.
In the case of the 30-year mortgage, with a fixed rate of 4.5%, monthly payments of $ 1,020 per month must be made, that is, a total payment of $ 367,200 (1,020 x 12 x 30 = 367,200), with which the difference Regarding the acquired loan of $ 200,000, it will be $ 167,200.
In the case of the 15-year mortgage, with a 4% rate, the monthly payments will be $ 1,480, generating a total final payment of $ 266,400 (1,480 x 12 x 20 = 266,400), so in this case, the difference from The loan will be $ 66,400.
Therefore, between both loans, the 15-year option will save $ 100,800 more than in the case of the 30-year mortgage.
The dictionary is 3 inches thick. What is the volume of the dictionary
Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches
If the dictionary is a square ( all sides are equal ) the the volume is
V = Length * Length * Length =
V = 3 * 3 * 3 = 27
while if its rectangular ( all side are not equal ) shaped
V = Length * Width * Height (thickness)
V = L * W * 3 = 3LW
The inequality is t < 50, where t represents the temperature (in degrees Fahrenheit) outside. And i need a statement. Please help
he outside temperature is less than 50 degrees Fahrenheit.
The given inequality is
t < 50
where t represents the temperature (in degrees Fahrenheit) outside.
We need to write a statement for the given inequality.
The inequality "
Is the following function even, odd, or neither?
f(x) = 5x
Answer:the function is odd
because when we put a negative value of x it will give -f(x)
Write each of the following as a decimal and a
4/10 and 32/40
Just to tell you all you have to do is divide the numerator by the denominator.
4/10 = 0.4
32/40 = 0.8
You got this!
Hope this helped!
My name is, Lincoln
4/10 = 0.4 = 40%
32/40 = 0.8 = 80%
First, reduce the fraction. Then divide the numerator by the denominator to get a decimal. To go from a decimal to a percent, multiply the decimal by 100.
4/10 = 2/5 = 0.4 = 40%
32/40 = 8/10 = 0.8 = 80%
A guy-wire extends from the top of a cell phone tower to a point on the ground that is 25 ft from the base of the tower.
What is the approximate length of the guy-wire if the height of the cell
phone tower is 75 ft?
Round your answer to the nearest tenth.
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
The answer is 79.1 ft.
6(p÷x) - 2x , if p = 6 and x = 3
Answer: I do declare the answer it's 6
1) plug in 6 for p and plug in 3 for x.
6(6 ÷ 3) - 2(3)
6(2) - 6
12 - 6 = 6
u commented on one of my posts asking if i go to palcs and i do! cool B)
How many times does 18 go into 22?
18 goes into 22 once
the proper answer would be 1.2 repeating
or 1.22222 and so on
hope this helps pls mark brainliest
Considered division 1 would be added to 2nd number
Maya, Eric, and Ryan sent a total of 116 text messages during the weekend. Ryan sent 3 times as many messages as Maya. Eric sent 6 more messages than Maya. How many messages did they each send?
Maya 22 Ryan 66 Eric 28
Maya sent 22
Ryan is 22*3=66
What is the solution for -10 < x - 9? A. x > -19
B. x < -19
C. x > -1
D.x < -1
Given the inequality
Add 9 to both sides of inequality:
This inequality can be rewritten as
-1" alt="x>-1" align="absmiddle" class="latex-formula">
Hence, option C is correct option.
Simplify the expression. the quantity x to the one sixth power end quantity to the power of 3
Applying the rule power
When You Divide A Whole Number By A Unit Fraction Explain How You Can Find The Quotient? ›
When a whole number is divided by a unit fraction, the quotient is a whole number greater than the dividend.How do you divide fractions by unit fractions? ›
How do you divide two fractions together? Dividing by unit fractions is simple once you know the steps! All you have to do is invert the unit fraction so that the 1 becomes the denominator. Then multiply the numerators by the denominators and you have your answer!How do you divide to find the quotient? ›
The quotient can be calculated by dividing the dividend with the divisor. Quotient = Dividend ÷ Divisor.When you divide a whole number by a unit fraction is the quotient larger or smaller than the dividend? ›
When a whole number is divided by a unit fraction, the quotient is a whole number greater than the dividend.
Finding a Unit Fraction of a Quantity
If you want to find a unit fraction of a quantity, you divide the quantity by the denominator. For example: 1/5 of 20 is 4 because 20 (quantity) divided by 5 (denominator) equals 4.
Multiplication and Division
When multiplying or dividing numbers with units, the units are also multiplied or divided.
Hence, when any number is divided by 1, the quotient is the number itself.What is the explanation of unit fractions? ›
A unit fraction is any fraction with 1 as its numerator (top number), and a whole number for the denominator (bottom number).What is unit fraction examples with answers? ›
A unit fraction is a positive fraction with one as its numerator, 1/n. It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number. Examples are 1/1, 1/2, 1/3, 1/4, 1/5, etc.What does it mean to find the quotient of a fraction? ›
By Fraction. The quotient is a number obtained by dividing the dividend by divisor which is a simple division of numerator and denominator.
How do you divide and find the quotient and remainder? ›
The dividend divisor quotient remainder formula can be applied if we know either the dividend or remainder or divisor. The formula can be applied accordingly. For dividend, the formula is: Dividend = Divisor × Quotient + Remainder. For divisor, the formula is: Dividend/Divisor = Quotient + Remainder/Divisor.What is the unit fraction when a whole amount is divided into four equal parts? ›
Hence, when a whole is divided into 4 equal parts, each part is known as one quarter. It is written as 14 and read as one quarter or one-fourth.What is a unit fraction 6th grade? ›
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.How to divide fractions with whole numbers and different denominators? ›
Step 1: rewrite the problem so that all numbers are in fraction form. Step 2: flip the second fraction and change the division sign to a multiplication sign. Step 3: multiply the numerators together, then multiply the denominators together. Step 4: simplify (reduce), if necessary.What is the unit of divide? ›
A division is a large military unit or formation, usually consisting of between 6,000 and 25,000 soldiers. In most armies, a division is composed of several regiments or brigades; in turn, several divisions typically make up a corps.Is unit and division the same? ›
An organization is often divided into business units, which are composed of divisions. Divisions, in turn, are composed of departments. However, not all organizations use this three-level hierarchy, and instead might have just departments and divisions.When you divide a whole number by another whole number the answer is called? ›
Let's look at an example. 72 ÷ 9 = _ In this problem, 72 is the dividend - it is the number being divided. The divisor is the number of parts that the dividend is being split into, in this case, 9. The answer to a division problem is called the quotient.When a number is divided by one of its factors the answer is a whole number? ›
When a number is divided by one of its factors, the answer is a whole number (i.e., there is no remainder).When we divide any number by the number itself the answer is? ›
(Multiplication is an inverse operation of division.) Any number, except zero, divided by itself is 1.What is a unit fraction explained to kids? ›
A unit fraction is any fraction with 1 as its numerator (top number), and a whole number for the denominator (bottom number).
Why is it called a unit fraction? ›
All the fractions with 1 as the numerator are known as unit fractions. In these fractions, we take only one part of the whole which is divided equally into a finite number of parts. Unit denotes one. Therefore, they are known as unit fractions.What is a unit fraction vs fraction? ›
Whereas a unit fraction is one part of a whole (the numerator is always 1 i.e. ½, 1⁄7 or 1⁄376. ), a non-unit fraction is a fraction with a numerator (top number) greater than 1.Why are unit fractions important? ›
You can think of a unit fraction as a base or a starting point. It is important that students know what unit they are working with. Math as a Second Language proposes that when students know what unit they are working with they will have an easier time understanding the concept.What is a unit fraction quizlet? ›
unit fraction. a fraction that has a numerator and a denominator. simplify. to express a fraction in simplest form.How do you divide a fraction that has a whole number? ›
To divide a fraction by a whole number, multiply the bottom of the fraction by the whole number. The denominator on the bottom of this fraction is 7. We will multiply 7 by 2. 7 × 2 = 14 and so, 6 / 7 ÷ 2 = 6 / 14 .When you divide a fraction by a whole number will the quotient be less or greater than the dividend? ›
Dividing fractions with whole numbers results in a value less than the given fraction. It is because we are dividing it into smaller equal parts and the quotient obtained will be the value of one part out of those. For example, if we say that divide 2/3 into 4 equal parts.What is a unit fraction example? ›
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole. The term “unit” means one. For instance, if a pizza is divided into 4 equal portions and one person is eating one portion of it, it can be numerically represented as 1/4.What is one example of unit fraction? ›
A unit fraction is a positive fraction with one as its numerator, 1/n. It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number. Examples are 1/1, 1/2, 1/3, 1/4, 1/5, etc.