We have to find :
m² - 5m + 6 / (m - 2) = ?First of all, we need to factorize
(m² - 5m + 6)⭆ m² - 5m + 6
⭆ m² - (3 + 2)m + 6
⭆ m² - 3m - 2m + 6
⭆ m(m - 3) - 2(m - 3)
⭆ (m - 2) (m - 3)
★ Division :
➠ m² - 5m + 6 / (m - 2)
➠ (m - 2) (m - 3) / (m - 2)
➠ (m - 3) [Final answer][tex].[/tex]
Hope It Helps!A bakery sold apple pies for $12 and blueberry pies for $14 on Saturday sold a total of 41 pies and collected a total of $536 how many apple pies did you sell and how many blueberry pies do they sell
Answer:
22 blueberry pies and 19 apple pies.
Step-by-step explanation:
This can be solved using a system of equations. Your equation for amount of pies sold is x + y = 41, with x representing apple pies and y representing blueberry pies, and 41 being the total amount of pies sold. The other equation is for the amount of dollars earned from selling the pies, which is:
12x + 14y = 536 $12 per apple pie, $14 per blueberry pie, and a total of $536.
Let's first solve for x. The new equation would be x = 41 - y. Now, we plug this equation into the second equation.
12(41 - y) + 14y = 536 Here we substituted x for the equation we made.
429 - 12y +14y = 536
-12y +14y = 44 Here we moved the 429 to the other side by subtracting it from the left and right.
2y = 44
y = 22. Now we know that there was a total of 22 blueberry pies sold. Now we plug 22 pies back into the very first equation to find x, the amount of apple pies.
x + 22 = 41
x = 19. Now we know there was a total of 19 apple pies sold.
Hope this helps!
What is an equation of the line that passes through the points (4, 8) and (1, - 1) ? Put your answer in fully reduced form.
Answer:
y = 3x - 4
I believe this is it's fully reduced form.
Select the prime factors of 204.
A. 2 x 17
B. 6 x 17
C. 2 x 3 x 17
D. 2 x 2 x 3 x 17
proportions please help!
Answer:
[tex]\huge\boxed{x=-12}[/tex]
Step-by-step explanation:
In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.
Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.
[tex]5(x-9)=7(x-3)\\\\5x-45=7x-21[/tex]
Now we can solve for x.
Subtract 5x from both sides:
[tex]-45=2x-21[/tex]
Add 21 to both sides:
[tex]-24=2x[/tex]
Divide both sides by 2:
[tex]x = -12[/tex]
Hope this helped!
Answer:
[tex]x= -12[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]\frac{5}{x-3} =\frac{7}{x-9}[/tex]
Step 2: Solve for x
Cross multiply: [tex]5(x-9)=7(x-3)[/tex]Distribute: [tex]5x-45=7x-21[/tex]Subtract 5x on both sides: [tex]-45=2x-21[/tex]Add 21 to both sides: [tex]-24=2x[/tex]Divide both sides by 2: [tex]-12=x[/tex]Rewrite: [tex]x= -12[/tex]Step 3: Check
Plug in x to verify it's a solution.
[tex]\frac{5}{-12-3} =\frac{7}{-12-9}[/tex]
[tex]\frac{5}{-15} =\frac{7}{-21}[/tex]
[tex]\frac{-1}{3} =\frac{-1}{3}[/tex]
Just tell me the coordinates
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apilando de manera conveniente todos ellos? Mostrá cómo lo pensaste Si quisieras formar un "cuadrado" con la mayor cantidad de cubos posibles, ¿cuántos deberías poner sobre cada lado? ¿Te quedarían cubos sueltos? ¿Cuántos? Mostrá cómo razonás
Answer:
(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
Step-by-step explanation:
(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.
El volumen de un cubo está dado por la siguiente fórmula:
[tex]V = L^{3}[/tex]
Donde:
[tex]L[/tex] - Longitud de la arista, medida en dados.
[tex]V[/tex] - Volumen del cubo, medido en dados cúbicos.
Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:
[tex]L = \sqrt[3]{V}[/tex]
Dado que [tex]V = 125\,dados^{3}[/tex], encontramos que la altura del cubo de mayor tamaño sería:
[tex]L =\sqrt[3]{125\,dados^{3}}[/tex]
[tex]L = 5\,dados[/tex]
Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:
[tex]A = L^{2}[/tex]
Donde:
[tex]L[/tex] - Longitud de arista, medida en dados.
[tex]A[/tex] - Área, medida en dados cuadrados.
Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de [tex]L[/tex] tal que no supere 125 y de un área entera. Es decir:
[tex]L \leq 125\,dados[/tex]
Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:
[tex]L^{2}< 125\,dados^{2}[/tex]
Esto nos lleva a decir que:
[tex]L < 11.180\,dados[/tex]
Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:
[tex]n = (11\,dados)^{2}[/tex]
[tex]n = 121\,dados[/tex]
Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
10.) What is 99 as a fraction?
Answer:
Step-by-step explanation:
\Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula?
I = p r t
0.007
0.07
0.7
7
Answer:
0.07
Step-by-step explanation:its becuase 7% outta 100% =0.07. so I=Prt
We have to solve for r
r=r/100
7%/100
0.07 per year
Hope this helps mark as brainliest plz
Answer:
0.07
Step-by-step explanation:
give brainlest pls
The attendance of your club increased by 30% from last year. There are 195 people in the club now.
Answer:
last year it was 150
Step-by-step explanation:
last year =100 ; increase= 30
total =130
130=195
100= 195/130=150
a recipe requries 1/3 cup of milk for each 1/4 cup of water. how many cups of water are needed for each cup of milk
1 cup of milk is used with 3/4 cup of water
Explanation:
milk : water
1/3 : 1/4
x12 to get rid of fractions:
12/3 : 12/4
= 4/3
which means 4 cups of milk are used with 3 cups of water
÷4:
1 cup of milk is used with 3/4 cup of water.
-3 2/5 - 5/6
how to do it
Answer:
- 4 7/30Step-by-step explanation:
-3 2/5 - 5/6 =- 17/5 - 5/6 = ⇒ converting the mixed fraction to standard- 17*6/5*6 - 5*5/6*5 = ⇒ bringing fractions to common denominator- 102/30 - 25/30 = - (102 + 25)/30 =- 127/30 = ⇒ answer as standard fraction- 4 7/30 ⇒ converting to mixed fractionAnswer:
- 4 ⁷/₃₀Step-by-step explanation:
= -3 2/5 - 5/6
= - 17/5 - 5/6 ---- LCM of 5 & 6 is 30
= _ 17 * 6 _ 5 * 5
5 * 6 6 * 5
= _ 102 - 25
30
= _ 127
30
= 4 ⁷/₃₀HELP HELP HELP PLZ ITS DUE IN 5 MINUTES
Answer:
14.58
Step-by-step explanation:
1.08 is tax multiplied by 15 is 16.20 after tax. 90% of that is 14.58
Answer:
you pay 15.3 dollars
Step-by-step explanation:
15 times 0.1 is 1.5
15 times 0.08 is 1.2
15-1.5+1.2=15.3
The lengths of the sides of a triangle are 7. and 10. If the length of the longest side of a similar triangle is 25. what is the length of the shortest side of this triangle?
Answer: 17.5
Step-by-step explanation:
7:10 = x:25
times both sides by 25
25(7/10) =x
than solve for x
X = 25 × (7/10)
X = 17.5
Can someone please help me asap!!! I’ll mark brainlist !!
Answer: 2.4
Step-by-step explanation:
4/5 x 3 = 2 and 3/5
2 and 3/5 converted into decimal is 2.4
You're welcome!
Given P(A)=0.8P(A)=0.8, P(B)=0.62P(B)=0.62 and P(A union B)=0.874P(A∪B)=0.874, find the value of P(A unionB)P(A∩B), rounding to the nearest thousandth, if necessary.
Use the inclusion/exclusion principle:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
So
P(A ∩ B) = 0.8 + 0.62 - 0.874 = 0.546
860÷43 what is the answer?
Answer:
20
Step-by-step explanation:
You would do this by dividing 43 into 860
what is the anwser for the math problem below
what is 13÷236
PLEASE ANWSER ASAP.
Answer: 0.05508474576
Step-by-step explanation:
Write an equation to find the number.
The difference between three times a number and 5 is 7.
Answer:
3x-5=7
Step-by-step explanation:
What is the midpoint of (5,5) and (-3,-5)t
Answer: (1,0)
Step-by-step explanation:
if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25
Help please I have a F in this class!!
if y=16 when x=4, find y when x=6.
Answer:
y = 24
Step-by-step explanation:
Its hard to explain
Really easy question I’m
Just really tired
Answer:
4.5
Step-by-step explanation:
So the ladder is 4 feet from the wall and 18 feet tall. This can translate to negative 4 spaces on the x-axis and 18 spaces on the y-axis. The slope of a line is rise over run which is 18/4 or 4.5
I hope the answer is right and I hope I helped. Have fun with the rest of your math :)
How do you solve 2(y + 1) – 2 = 4 + 2y - y
Answer:
y=4
Step-by-step explanation:
2(y+1)-2=4+y
2y+2-2=4+y
2y=4+y
2y-y=4
y=4
Answer:
y=4
Step-by-step explanation:
So first of all you do distrabutive property when you do that you get 2y+2-2=+2y then you combine the like terms than when you do that you should get y=4
I hope this helps!
y= -2x +9 what does x equal ?
Answe Step-by-step explanation:
46579765+4879+889 78+6565
Solve this equation. Enter your answer in the box. 1/3 (y+7)=3(y−1)
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
16=8y
2=y
Jebrel borrowed $7000 from his friend. He saves $110 each month to pay him back.
Answer:
What is the question? This is just a statement
Step-by-step explanation:
Find the hcf by using long division method (219,1321,2320,8526)
Step-by-step explanation:
I have attached the working
equation in slope y-intercept form and identify the slop and y-intercept of the line: 2x-5y=15
Answer:
y=2/5x - 3
slope is 2/5
y intercept is -3
Step-by-step explanation:
Would anyone mind solving this? Thank you!
