Answer:
15 and 11
Step-by-step explanation:
First find an equation that represents this scenario.
26 = n + (n-4) works, because the sum (26) is equal to the number (n) plus the number minus 4, which is the other number.
To find both numbers, solve for n:
26 = n + (n - 4)
First, combine like terms.
26 = 2n - 4
Then, add 4 to both sides
30 = 2n
Then divide both sides by 2.
15 = n.
So the number is 15, and the other number is 15-4, which is 11.
Evaluate the expression 4xy-yz
The expression 4xy-yz is an algebraic equation.
What is expression?Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.
To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.
The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.
In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.
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The expression 4xy-yz is an algebraic equation.
What is expression?Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.
To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.
The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.
In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.
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The price of an article is fixed at a certain percent above the cp and sold it at 5% discount . If the cp is rs16000 and sp is rs20900 with 10% vat ,how much percentage is mp more then cp ?
Markup price is 30% more then Cost price.
What is VAT?The selling price includes a VAT (which is a form of tax) and a discount.
A Vat is a form of tax which increases the price of a good and a discount reduces the price.
The marked price is mp = cp(1 + 5%) = 1.50cp
The selling price is sp = mp(1 -10%) = 0.90mp
The gain is profit =sp -cp
= (0.90(1.50cp)) -cp
= cp(0.90·1.50 -1)
= 0.04cp
Mark up = (selling price - cost price) / cost price
(20900 - 16,000) / 16,000 = 0.306 = 30.6 %
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 8
and AD 4, what is the length of AC ? (Note: the figure is not drawn to scale. )
The required length of the side AC of the given right triangle is 32 units.
What is the right triangle?A right triangle is a triangle with one right angle or two perpendicular sides.
It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle.
The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.
A triangle is referred to be a right triangle when one of the interior angles is 90 degrees or a right angle.
So, using the hypotenuse AC as the point of convergence for the right triangle ABC,
AB is 8 and AD is 2.
Verify whether the triangle ΔABD resembles ΔACB.
∠ BCA = ∠ DBA (90 - ∠ DBC)
∠ A = ∠ A
As a result, ΔABD and ΔACB share an AAS resemblance.
Utilize the similarity property to determine the length of AC.
AC/AB = AB/AD
x / 8 = 8 / 2
x = 32
Therefore, the required length of the side AC of the given right triangle is 32 units.
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Correct question:
Given a right triangle, ABC with altitude BD drawn to hypotenuse AC. If AB = 8 and AD = 2, what is the length of AC?
1. Calculate the unit rate if you are
shopping and you buy 10 pounds of
bananas for $8.50. What is the
cost per pound?
The cost per pound of bananas is $0.85.
To calculate the unit rate or cost per pound, we divide the total cost by the number of pounds.
You purchased 10 pounds of bananas for $8.50.
To find the cost per pound, we divide the total cost by the number of pounds:
Cost per pound = Total cost / Number of pounds
The total cost is $8.50 and the number of pounds is 10. So we can calculate the cost per pound as follows:
Cost per pound = $8.50 / 10 pounds
To perform the division, we divide the numerator ($8.50) by the denominator (10 pounds):
Cost per pound = $0.85
This means that for every pound of bananas you purchase, it will cost you $0.85.
The unit rate allows you to compare the cost of different quantities.
It tells you that if you want to know the cost of a certain number of pounds of bananas, you can multiply that number by $0.85 to find the total cost.
It's important to note that unit rates are helpful for comparing prices and making informed purchasing decisions, especially when dealing with different quantities or sizes of items.
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How do you solve a 2 step equation 7th grade?
The Two steps equation in mathematics can be solved within exactly two steps by performing operation on both sides of the equation .
What is a Two Step Equation ?
The Two Step Equation can be defined as the equations that can be solved exactly within two steps.
When solving the two step equation, we have to perform the operation on both sides of equals to sign.
To solve the equation we need to perform same operation on both sides of equation.
For Example ⇒ Solve [tex]3x+3=12[/tex] ;
Step1 : we Subtract 3 from both sides to isolate the variable x.
⇒ [tex]3x + 3 - 3 = 12 - 3[/tex]
⇒ [tex]3x = 9[/tex]
Step2 : We Divide both the sides of equation by 3 and solve for x.
⇒ [tex]\frac{3x}{3} =\frac{9}{3}[/tex]
⇒ [tex]x = 3[/tex] ;
Therefore , the given equation is solved in two steps .
The given question is incomplete , the complete question is
How do you solve a 2 step equation ?
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can someone pls help there sis no d bc it not d
NEED HELP ASAP.,
WILL GIVE BRAINLIEST
Answer:
95/10 or 9 5/10 or 9 1/2
Step-by-step explanation:
do the first option since itll b easier to type ig lol
4t+6 evaluate the expression if t=1
Answer:
10
Step-by-step explanation:
You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd multiply 4 by 1 which is 4 and then add 6 which is 10.
someone please help me it’s only one question :)
Answer:
D
Step-by-step explanation:
It is exponential decay if it was growth then it would say 1+0.12 not 1-0.12
A survey of 100 high school students provided this frequency table on how students get to school: Drive to Take the Grade Walk School bus Sophomore 2. 25 3 Junior 13 20 2. Senior 25 5 5 Find the probability that a randomly selected student drives to school.
The probability that a randomly selected student drives to school is [tex]\frac{2}{5}[/tex]
It is correct for Acellus 100%
Explanation: Trust me lol
2/5 is the probability that a randomly selected student drives to school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that A survey of 100 high school students provided this frequency table on how students get to school.
The total number of students drive to school are 2+13+25
40 students drive to school.
The total number of students in school is 100.
We need to find the probability that a randomly selected student drives to school.
P(Drive to school)=40/100
=2/5
Hence, 2/5 is the probability that a randomly selected student drives to school.
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The radius of a circle is 4 centimeters. What is the circle's area? Use 3.14 for .
Answer:
A = 50.2 cm^2
Step-by-step explanation:
If the radius is r = 4 cm, the area of the circle is A = (3.14)(4 cm)^2, or
A = 50.2 cm^2
A. Encuentra el valor del tercer ángulo en un triángulo que tiene dos ángulos que miden 112º Y 52º B. Encuentra el valor del cuarto ángulo en un cuadrilátero que tiene los siguientes ángulos: 105º, 32º Y 10º
Answer:
El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.
El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.
Step-by-step explanation:
Spanish
La suma de los ángulos de un triángulo siempre es igual a 180 grados. Si conocemos dos de ellos, podemos encontrar el tercero. Dejemos que el tercero se denote por x entonces
112 ° + 52 ° + x = 180 °
x = 180 ° -112 ° -52 °
x = 16 °
El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.
La suma de los ángulos de un cuadrilátero siempre es igual a 360 grados. Si conocemos tres de ellos, podemos encontrar el cuarto. Dejemos que el cuarto se denote por y luego
105º + 32º + 10º + y = 360 °
o
y = 360 ° -105º- 32º- 10º
y = 213 °
El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.
English
The sum of angles in a triangle is always equal to 180 degrees. If we know any two of them we can find the third one. Let the third one be denoted by x then
112°+52°+x= 180°
x= 180°-112°-52°
x= 16°
The third angle in a triangle will be 16° if the other two angles are 112º and 52º.
The sum of angles in a quadrilateral is always equal to 360 degrees. If we know any three of them we can find the fourth one. Let the fourth one be denoted by y then
105º+ 32º+ 10º+y= 360°
or
y = 360°-105º- 32º- 10º
y= 213°
The fourth angle in a quadrilateral will be 213° if the other three angles are 105º, 32º and 10º.
13. Solve:* 3b⁴ x 6b² =
Answer:
18b^6
Step-by-step explanation:
3b⁴ x 6b²
help help help help help help help help PLEASE
"Find the perimeter and area of of polygon ABCD. Explain your reasong."
Answer:
Find the distance of each segment
Step-by-step explanation:
Use the distance formula :
https://tutors.com/math-tutors/geometry-help/distance-formula#:~:text=The%20Distance%20Formula%20squares%20the%20differences%20between%20the,-%20y%201%29%20is%20the%20change%20in%20y.
add the lengths together
Hope this helps!!
4 4/9 times 3/8 simplest form
Answer:
5/3
Step-by-step explanation:
4 4/9 * 3/8 = 40/9 * 3/8 = 120/72 = 10/6 = 5/3
ractical Work/Activities A problem on the purification of the impurities present in the pond is given by t 8100p C(p) = 100-P where p is the percentage impurities present in the polluted water and C(p), the pr Rs. needed to remove p% of the impurities. a) Find the cost of removing 90% of the impurities. lim Find C(p). What does the value mean? p→19 Is it possible to purify completely? Give reason. b) c) O oved by Curriculum Development Centre (CDC), Nepal
Therefore , the solution of the given problem of ratio comes out to be
lim C(p) as p->19 = 152900.
Define ratio.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Here,
a) To find the cost of removing 90% of the impurities, we can substitute 90 for p in the equation:
C(p) = 8100p / (100-p)
C(90) = 8100(90) / (100-90)
C(90) = 729000
So the cost of removing 90% of the impurities is Rs. 729000.
b) To find the limit of C(p) as p approaches 19, we can substitute 19 for p in the equation:
lim C(p) as p->19 = 8100(19) / (100-19)
lim C(p) as p->19 = 152900
The value of the limit of C(p) as p approaches 19 means that as the percentage of impurities approaches 19, the cost of purification approaches Rs. 152900.
c) It is not possible to purify completely as the percentage of impurities approaches 100. It's because as the percentage of impurities becomes closer to 100, the denominator of the fraction becomes smaller, thus the value of the cost of purification becomes larger, and it is impossible to pay an infinite amount of money.
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Hannah is recovering hundreds of treasure chest from an ancient shipwreck she is able to recover a test every four hours to complete the table using equivalent ratios
A table of equivalent ratios for the number of treasure chests and hours that Hannah recovered is as follows:
Treasure chests Hours
8 4
12 6
10 5
What is a proportional relationship?In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 4/8
Constant of proportionality (k) = 0.5.
When hours y = 6, the number of treasure chests x is given by:
x = y/k
x = 6/0.5
x = 12.
When treasure chests x = 10, the number of hours y is given by:
y = kx
y = 0.5(10)
y = 5.
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Complete Question:
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours.
Complete the table using equivalent ratios. Select all the answers that will fill the table.
what table does not represent a linear function?
Answer:
Hi! Your answer is going to be the one with -1 (x) , 15 (y).
Step-by-step explanation:
This is a quadratic function, not a linear function. Hope this helps!
Jamie is trying to work out the surface area of the cuboid below. Spot any mistakes and write the correct answer.
Step-by-step explanation:
The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.
The formula for the surface area of the cuboid is as follows :
[tex]A=2(lb+bh+hl)[/tex]
We have,
b = 9 cm, l = 7 cm and h = 5 cm
So,
[tex]A=2(9\times 7+9\times 5+7\times 5)\\\\A=2\times 143\\\\A=286\ cm^2[/tex]
Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.
Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator
Answer:
35/20 and 36/20
Step-by-step explanation:
$7,400 at 10.5% for ¼ years
What is the y value where the hole is located in this equation. Show your work. f(x)= (4x-4) x (x-12)/(x-12)
Answer:
y = 44
Step-by-step explanation:
Given
f(x) = [tex]\frac{(4x-4)(x-12)}{x-12}[/tex] ← cancel the factor (x - 12)
= 4x-4
Removing this factor creates a hole at
x - 12 = 0 ⇒ x = 12
Substitute x = 12 into the simplified f(x)
y = 4(12) - 4 = 48 - 4 = 44
That is hole at (12, 44 )
HELPPPPPPPP SOMEONE GIVE ME THE RIGHT ANSWER
Write the following phrase as an algebraic expression. Use b for the unknown. A number split into 18 equal parts
Answer:
b/18
Step-by-step explanation:
Write a linear equation and one variable that has infinitely many solutions. show the process of simplifying the equation to prove that it has infinitely many solutions.
Answer: 3x + 6 = 3x + 6
3x - 3x = 6 - 6
0 = 0
infinitely many solutions.
Step-by-step explanation: Little tip....if ur equation ends up like this : 0 = 0, or 2 = 2...or anything equal, it will have infinite solutions. If ur equation ends up like this : 2 = 4, or 5 = 7...or anything unequal, then it will have no solutions. If ur equation ends up like this : y = 2, or x = 10....then there will be one solution.
PLEASE HELP ASAP HURRY
Micah goes miniature golfing. The total amount Clara pays for admission and the number of rounds that she golfs, T, can be calculated by the equation
T = 5.25n + 8.50, where n is the number of rounds that Micah golfs.
What does the number 8.50 represent in the equation?
Answer: The amount she pays for admission
Step-by-step explanation:
Answer:
The admission cost.
Step-by-step explanation:
It costs $5.25 to play each round.
You don't have to re-enter the park to play the games, but you do have to pay for more rounds.
If triangle NPZ ~ triangle HBZ find the measure of angle B.
Please show the steps
The measure of angle B is m ∠B = 107°.
What is similar triangles?
Triangles that are similar in shape but differ in size are known as similar triangles. Examples of related objects include all equilateral triangles and squares with any side length. To put it another way, if two triangles are similar, then their corresponding angles and sides are congruent and equal in size.
Given: Δ NPZ ~ Δ HBZ
As the triangles NPZ and triangle HBZ are similar that means the corresponding angles are congruent.
⇒ ∠N = ∠H, ∠P = ∠B, ∠Z = ∠Z
Since,
∠P = (8x - 37)°, ∠Z = 42°, ∠H = (2x - 5)°
⇒ 2x - 5 = ∠H, ∠B = 8x - 37, Z = 42°
Since, the sum of three angles of triangle is 180°.
⇒ ∠H + ∠B + ∠Z = 180°
(2x - 5)° + (8x - 37)° + 42° = 180°
10x - 42° + 42° = 180°
10x = 180°
x = 18°
So,
∠B = (8x - 37)° = 8(18) - 37 = 144 - 37 = 107°.
Hence, the measure of angle B is m ∠B = 107°.
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Solve the inequality - 4x+5>-5
x < 2.5
x > -2.5
x > 2.5
Answer:
[tex] - 4x > - 10 \\ x < 2.5[/tex]
When 9 is subtracted from a number and then divided by 2, the answer is
4. What is the number?
Answer:
your asking what is 9+x÷2? do you know what x is?
Step-by-step explanation:
I think it would be 4.5+x I'm a little confused. sorry I hope this helped!