The equivalent expression of 25 - 64 are "a), b) and c)"
The given expression is:
25 - 64
To find, the equivalent expressions are:
a) 25 + 40x - 40x - 64
= 25 - 64, is the equivalent expression.
b) 25 + 13x - 13x - 64
= 25 - 64, is the equivalent expression.
c) (5 + 8)(5 - 8)
Using the algebraic identity,
(a + b)(a - b) =
=
= 25 - 64, is the equivalent expression.
d) ( + 13)( - 13)
Using the algebraic identity,
(a + b)(a - b) =
=
= - 169, is not a equivalent expression.
e)
Using the algebraic identity,
, is not a equivalent expression.
∴ The equivalent expression of 25 - 64 are "a), b) and c)".
Answer: option A, B, C are equivalent to [tex]25x^4-64[/tex].
We check each option by simplifying:
A) [tex]25x^4 + 40x - 40x - 64 = 25x^4-64[/tex].
B) [tex]25x^4 + 13x - 13x - 64 = 25x^4-64[/tex]
C) [tex](5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64[/tex]
D) [tex](x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169[/tex]
E) [tex](5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64[/tex].
So option A, B, C are equivalent to [tex]25x^4-64[/tex].
Learn more: https://brainly.com/question/1214333
a store sells jump ropes. each jump rope costs the same amount. during a sale, the store reduces the price of each jump rope by $1.90. marc spends $12.78 on 2 jump ropes at the sale price. what was the price of 1 jump rope before the sale
Answer:
$8.29
Step-by-step explanation:
12.78÷2=$6.39
6.39+1.90=$8.29
Answer:
The answer to this is 8.29 because you divide the highest with 2 and then you get 6.39 then you + 2.90
Step-by-step explanation:
Negative three times a number increased by seven is less than -11.
Answer:
-3x+7<11
Step-by-step explanation:
I hope I helped you
What is the missing length of this rectangle?
Answer:
4yd
Step-by-step explanation:
11 (bottom length) - 7 = 4
644.4 rounded to the tenth
solve for l:
p = 2(l +w)
Answer:
p=2/1
Step-by-step explanation:
Hope this helps ;)
What is the unit rate of (0,0) (6,8)
Answer:
4/3.
Step-by-step explanation:
Unit rate is the same as slope. In order to find the slope, we are going to use this formula:
m = y2 - y1 / x2 - x1
Now, we substitute the numbers into the equation:
m = 8 - 0 / 6 - 0
m = 8/6
m = 4/3
Therefore, the unit rate is 4/3.
So uhm idk this can some1 help
Answer:
Negative
Step-by-step explanation:
Negative-negative is always negative, and -1/3-4/5 is negative too. the second one, however, is positive.
Answer:
negative
Step-by-step explanation:
Point JJ is located at (5,-3)(5,−3) on the coordinate plane. Point JJ is reflected over the yy-axis to create point J'J ′ . Point J'J ′ is then reflected over the xx-axis to create point J''J ′′ . What ordered pair describes the location of J''?J ′′ ?
Answer:
[tex]J" = (-5,3)[/tex]
Step-by-step explanation:
Given
[tex]J = (5,-3)[/tex]
Reflections: over y and x axis to create J"
Required
Determine J"
When reflected over y axis:
[tex]J'(x,y) = J(-x,y)[/tex]
We have that:
[tex]J = (5,-3)[/tex]
So:
[tex]J(-x,y) = (-5,-3)[/tex]
Hence
[tex]J' = (-5,-3)[/tex]
When reflected over x axis:
[tex]J"(x,y) = J'(x,-y)[/tex]
We have that:
[tex]J' = (-5,-3)[/tex]
So:
[tex]J(x,-y) = (-5,3)[/tex]
Hence
[tex]J" = (-5,3)[/tex]
Answer:
(5,3)
Step-by-step explanation:
I put it in and it came out right so
help I'm on a test. I have 1 hour and I have 100 questions.
The sign at the right shows the costs for a deep-sea fishing trip. How much will the total cost be for 1 adult, 2 children, and 1 senior citizen to go on a fishing trip? Use mental math.
DEEP-SEA FISHING
Adults.....$41
Children (12 & under)....$35
Seniors (65 & up)......$39
Step-by-step explanation:
1 Adult = $41
2 children = $35 × 2 = $70
1 senior citizen = $ 39
Total = $41 + $70 + $39
=$150
Joseph and Wendy were catching tadpoles. At first Wendy caught nine times three more than Joseph caught. Joseph was upset and released half of Wendy 's tadpoles, and then six times as many as Joseph caught swam away. After all of this, Wendy only had three tadpoles left. How many tadpoles did Joseph catch?
Answer:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7
7x =6x-9 ....I’m just confused on how it works still
Answer:
x = -9
Step-by-step explanation:
7x = 6x - 9
-6x -6x
x = -9
A computer printer can print 10 pages per minute.
Write an expression for the number of pages the
printer can print in m minutes.
Answer:
so if the printer can print 10 pages per min. then the equation would be 10*m.
Step-by-step explanation:
The straight line distance between two cities A and B is 223 km. The straight line distance between cities A and C is 152 km. The straight line distance between cities B and C is 285 km. Find the measure of the angle when standing at city C between the lines of sight to cities A and B.
Answer:
Angle between the lines of sight to A and B = 50.94°
Step-by-step explanation:
Distance between the cities A and B = 223 km
Distance between the cities B and C = 285 km
Distance between the cities A and C = 152 km
By applying cosine rule in triangle ABC,
AB² = AC² + BC² - 2(AC)(BC)CosC
(223)² = (152)² + (285)² - 2(152)(285)CosC
49729 = 23104 + 81225 - (86640)CosC
CosC = [tex]\frac{54600}{86640}[/tex]
CosC = 0.630194
C = [tex]\text{Cos}^{-1}(0.630194)[/tex]
C = 50.94°
Therefore, angle between the lines of sight to cities A and B is 50.94°
its in the linked picture
Can someone help me please.
Answer:
Lena's Method: 280Jackson's Method: 280Step-by-step explanation:
Lena's Method:
8 + 12 = 20Plug 20 in: 14(20)14(20) = 14 × 20 = 280Jackson's Method:
14 × 8 = 11214 × 12 = 168Re-write the expression: 112 + 168112 + 168 = 280I hope this helps!
please help, almost finished with math
Answer:
i think it is A
Step-by-step explanation:
hope this helped!
p.s it would be cool if you give me brainliest.
QUESTION 4, Saturday, October 10th, 2020
I have some geometry questions today. Please include your thoughts or reasoning with your answer. Thanks!
Answer:
Hi in my opinion option A SSS isda answer
Answer:
Not congruentStep-by-step explanation:
There is no enough evidences of congruence
2 sides don't guarantee the third side or angle between them
Also the triangles are not right triangles
20 POINTS AND MARKED BRAINLYEST The steps below show the solution to the equation 3( x - 2 ) = 2 ( x - 3 ) Order the reason for the steps
(PS: The options are
Distributive property
Add and Subtract
Multiply
Addition and subtraction properties of inequality) The choices are the same for every equation EACH ANSWER IS DIFFERENT
1. Distributive property
2. Multiply
3. Addition and subtraction property of inequalities
4. Add and subtract
7 moive tickets for $56
Answer:
what movie, cuz $8 per ticket for some reason feels super cheap
Step-by-step explanation:
1. A bike shop rents each of its bikes for $6.50 per hour. They also charge a
$10.50 insurance fee for each rental.
What's the total cost, y of renting an bike for x hours.
Y = _?___ + __?__
Answer:
y=6.50x+10.50
Step-by-step explanation:
Answer: 17
Step-by-step explanation:
Dos agricultores, padre e hijo, tardan 2 horas entre los dos arar un campo. Si solo el padre tarda 6 horas. ¿Cuanto tardara el hijo?
Answer:
El hijo solo tardará 3 horas en arar el campo
Step-by-step explanation:
Aquí, se nos dice que ambos pasan dos horas para arar el campo mientras que el padre solo pasa 6 horas.
Queremos saber el tiempo que pasará el hijo si va a trabajar solo
Sea el área del campo x
La tasa de trabajo de ambos es x / 2
La tasa de trabajo del padre será x / 6 Deja que el tiempo que pasa el hijo sea y La tasa de trabajo del hijo es x / y
Sumando la tasa de trabajo del padre a la del hijo da la tasa de trabajo total de ambos Por lo tanto;
x / 6 + x / y = x / 2
Despegar x 1/6 + 1 /y = 1/2
1 / y = 1/2 - 1/6
1 / y= 1/3
entonces y = 3
El hijo solo tardará 3 horas en arar el campo.
y=4x-1
if the value of y is 1 what is x
Answer:
[tex]x=\frac{1}{2}[/tex]
Step-by-step explanation:
So we are given the equation:
y = 4x - 1
and we are asked to find the value of x when the value of y is 1.
In other words, what is x when y = 1? To find this, we can plug in 1 for y and solve for x.
1 = 4x - 1
Now solve for x. Add 1 to both sides.
2 = 4x
Divide both sides by 4.
[tex]x=\frac{1}{2}[/tex]
So now we have found that when the value of y is 1, the value of x is 1/2.
I hope you find my answer and explanation to be helpful. Happy studying.
Question 1 (2 points)
Your math class just went from 32 students to 24 students because some kids left to join a real life Fortnite
tournament. What is the percent of decrease?
0 а
8%
Ob
20%
Ос
25%
Od
40%
PLSSS HELPP
Answer:8
Step-by-step explanation:
need help, please kfvleknfv
Problem 18
Answers:
~P -> Q: "if it is not fall, then the leaves change colors"
~P -> ~Q: "if it is not fall, then the leaves don't change colors"
P -> ~Q: "If it is fall, then the leaves don't change colors"
Q -> ~P: "If the leaves change colors, then it is not fall"
----------
Explanation:
Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.
==========================================
Problem 19
Answer: Choice A) 134
----------
Explanation:
AB = CD
8x = 4x+24
8x-4x = 24
4x = 24
x = 6
BC = 18x+26
BC = 18*6+26
BC = 134
==========================================
Problem 20
Answer: Choice C) x = 5 and y = 11
----------
Explanation:
(anglePQR)+(angleRQS) = 90
(12x-2)+(6x+2) = 90
18x = 90
x = 5
angle TQU = 90
10y-20 = 90
10y = 110
y = 11
==========================================
Problem 21
Answer: 99
----------
Explanation:
The remote interior angles add to the exterior angle (remote interior angle theorem)
(angle RPQ) + (angle PQR) = angle PRS
(3x-29) + (7x-42) = 6x-3
10x-71 = 6x-3
10x-6x = -3+71
4x = 68
x = 68/4
x = 17
angle PRS = 6x-3
angle PRS = 6*17-3
angle PRS = 99
==========================================
Problem 22
Answer: 116
----------
Explanation:
Refer to the diagram below.
Solve 105+x = 180 to get x = 75
Solve 135+y = 180 to get y = 45
Solve x+y+z = 180 to get z = 60
Solve z+82+p = 180 to get p = 38
Solve p+78+q = 180 to get q = 64
Solve q+r = 180 to get r = 116
==========================================
Problem 23
Answer: B) between 4 and 44 inches
----------
Explanation:
We use a variation of the triangle inequality theorem here.
If p is the missing side length, then
24-20 < p < 24+20
4 < p < 44
So,
4 < XY < 44
The side XY cannot be 4 inches and it cannot be 44 inches either.
==========================================
Problem 24
4 Answers: A, B, C, D
----------
Explanation:
Same idea as problem 23
24-10 < x < 24+10
14 < x < 34
So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26
In other words, only 12 and 34 are non-answers.
==========================================
Problem 25
Answer: C) 84 degrees
----------
Explanation:
The given exterior angle is 152 degrees
Subtract that from 180 to get the adjacent interior angle 180-152 = 28
Now let's find the missing angle of triangle DEB
D+E+B = 180
28+68+B = 180
96+B = 180
B = 180-96
B = 84
This is the measure of angle DBE
This is also the measure of angle ABC because the two angles are vertical angles.
Vertical angles are always congruent.
At the Dessert Island Pastry Cafe, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes. What is the ratio of brownies to donuts? Write your answer as a simplified fraction.
Answer:
22/21............
............
The ratio of brownies to donuts 22:21.
Given that, there are 2 cakes for every 7 donuts and 11 brownies for every 3 cakes.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, ratio to cakes and donuts = 2:7
Ratio to brownies to cakes = 11:3
Multiply 3 to the ratio 2:7. That is 6:21.
Multiply 2 to the ratio 11:3. That is 22:6.
So, the ratio of brownies to donuts 22:21
Therefore, the ratio of brownies to donuts 22:21.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
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10 + 10 please tell me nowwwwwwwwwwwwwwwwwww
It's 20, the answer is 20.
30 Points, Will mark Brainliest' !
The values in the table represent a linear function.
What is the function rule?
Write the rule in function notation, using the slope-intercept form of a line.
Enter your answer in the box.
F(x)= ____
Answer:
f(x) = 4x - 3Step-by-step explanation:
Given the table of domain and range
Using the points, lets find the slope-intercept form
y = mx + bThe slope
m = (5-1)/(2-1) = 4/1 = 4y-intercept
5 = 4*2 + bb = 5 -8b = -3So the function is
y = 4x - 3orf(x) = 4x - 3If f(x) = {(-2, -3), (3, -4), (0, -1), (-7,3)}, which set of ordered pairs
represents the inverse of f(x)?
A. {(-3,-2), (-4,3), (-1,0), (3, -7)}
O B. {(-2, -3), (3, -4), (0, -1), (-7,3)}
O C. {(2,3), (-3, 4), (0, 1), (7, -3)}
D. {(3, 2), (4, -3), (1, 0), (-3, 7)}
Answer:
Answer is A
Step-by-step explanation:
can you afford to buy a $50 video game every month if you make $40 a week and spend an average of $150 a month on food and gasoline the same there 4 weeks in the month true or false
Answer:
false
Step-by-step explanation:
you cannot afford it
Los profesores de un colegio tienen planeado mandar 6 boletines informativos al año a cada una de las 620 familias con estudiantes en el colegio. Cada uno de los boletines informativos necesita 2 hojas de papel. El papel se vende en resmas de 500 hojas. ¿Cuál es el número mínimo de resmas de papel necesarias para imprimir los boletines del colegio durante un año?
Answer:
14.88 resmas
Step-by-step explanation:
Los maestros de una escuela planean enviar 6 boletines al año a cada una de las 620 familias con estudiantes en la escuela.
Esto significa: El número total de boletines que recibe cada familia = 6 × 620 familias
= La escuela envía 3720 boletines cada año
Cada uno de los boletines necesita 2 hojas de papel.
1 boletín = 2 hojas de papel
3720 boletines =
Cruz multiplicar
3720 boletines × 2 hojas
= Se necesitan 7440 hojas de papel en un año
El papel se vende en resmas de 500 hojas.
¿Cuál es la cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año?
500 hojas de papel = 1 resma
7440 hojas de papel = y
Cruz multiplicar
500 × y = 7440 × 1
y = 7440/500
y = 14.88 resmas
La cantidad mínima de resmas de papel necesarias para imprimir los boletines escolares en un año es 1488 resmas