Answer:
Two expressions that are equal to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex] is -([tex]\frac{5}{4} x + \frac{3}{4}[/tex]) and [tex]\frac{1}{4}[/tex] (-5x - 3)
Step-by-step explanation:
Both expressions use the distributive property and take out -1 and [tex]\frac{1}{4}[/tex] from each expression to form equivalent expressions to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex].
Find the volume of the cone. Round to the nearest tenths
Answer:
[tex]vol. \: of \: cone = \frac{1}{2} \pi {r}^{2} h \\ = \frac{1}{2} \times \frac{22}{7} \times 8 \times 8 \times 9 \\ = \frac{11 \times 64 \times 9}{7} \\ = \frac{6336}{7} = 905.142[/tex]
A drawing of a surfboard in a catalog, it shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/3 inch length from the drawing corresponds to 3/8 foot of the actual surfboard.
Answer:
9.5 feets
Step-by-step explanation:
Length of drawing = 8 4/9 inches
Scale : 1/3 inch in drawing = 3/8 actual length
Length of drawing / drawing scale
8 4/9 = 76/9 inches
Number of 1/3 inches in total length of drawing :
76/9 ÷ 1/3
76/9 * 3 / 1
(76*3) /(9*1) = 228 /9 = 9 3/9 = 9 1/3
9 1/3 * 3/8 foot
(228 / 9) * (3 /8)
(228/3) * (1/ 8)
228 / 24
= 9.5 feet
-8(y + 5) = -8y - 40 TRUE or FALSE
Answer: true because that’s what you get when you use the distributive property
Step-by-step explanation:
if i 100 oz of water to drink, and i drink 23% of it, how much water do i have left
Answer:
you have 77oz left
Step-by-step explanation:
23% of 100 is 23
subtract 23 from 100
the answer is 77.
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
Explain how you know that a system od equations has an infinite numbe of solutions.
Graph the function y=4/3x+3
Answer:
Basically, you will first graph the 3 or (0,3) on the graph. Then you go 4 units up and 3 units to the right.
Hope this helps, thank you !!
HELLPPPPPP!!!!!
Jane needs a short-term loan to buy a new washing machine. She needs to borrow $1500 at 20% compounded
annually and plans to have it paid off in 1 year. Jane writes the formula 1500(1.2) and finds out that this loan will
cost her $1800
Which equation shows how Jane can rewrite the formula to find the annual percentage rate that would cost her the
same amount if it compounded semi-annually?
O A ~ 1500(1.2)
O A = 1500(1.2)2
O A 1500(1.095)2
O A = 1500(1.095)*'
Answer: A=1500 (1.095)1/2t
4. Jim and Kirk are playing a card game where they trade chips. At the beginning of the game, Jim has four times as many chips as Kirk does. After Kirk wins the game, Jim gives Kirk 18 of his chips, at which point they now have the same number of chips. How many did Kirk have to begin with?
(a) If j represents the original number of chips Jim had and k represents the original number of chips that Kirk had, then write an equation that models the amount of chips they originally had. Explain your equation.
(b) The equation j k − = + 18 18models the scenario after Kirk wins the game. Explain why.
(c) Determine how many chips both Kirk and Jim started with.
Answer:
(a) [tex]j = 4k[/tex]
(b) [tex]4k - 18 = 18 + k[/tex]
(c) Jim initially had 48; Kirk initially had 12
Step-by-step explanation:
Given
[tex]j = Jim[/tex]
[tex]k=Krik[/tex]
Solving (a): An equation for the amount they originally had.
From the question, we understand that j is 4 times as many as k.
Mathematically, this is:
[tex]j = 4 * k[/tex]
[tex]j = 4k[/tex]
Solving (b): Equation after Kirk wins
Initially Kirk had k.
To get the new expression, we add 18 to k.
This gives: 18 + k
In the same vein, Jim's number of chirps will reduce by 18.
Initially, Jim had j chirps (or 4k chirps)
To get the new expression, we subtract 18 from j.
This gives: j - 18
So, the equation is:
[tex]j - 18 = 18 +k[/tex]
Solving (c): Number of chirps they started with.
In (b), we have:
[tex]j - 18 = 18 +k[/tex]
Substitute 4k for j
[tex]4k - 18 = 18 + k[/tex]
Collect Like Terms
[tex]4k - k = 18 + 18[/tex]
[tex]3k = 36[/tex]
Divide both sides by 3
[tex]k =12[/tex]
Substitute 12 for k in [tex]j = 4k[/tex]
[tex]j = 4 * 12[/tex]
[tex]j = 48[/tex]
I need Explanations for these 2 questions!!
Please so urgent!!!!!
When playing the integer game, the first two cards were -8 -10. What is the value of your hand? Write an equation to justify your answer.
Answer:
-18
Step-by-step explanation:
-8 + (-10)
-8-10
-18
Hope this HELPS
Subtract. Express your answer in simplest form.
8 1/4 - 5 2/3
please help me with it
Answer:
50
Step-by-step explanation:
bfa and afe will add up to equal 180 because they are supplementary
20x+2x+70=180
22x+70=180
22x=110
x=5
then you plug in 5 to 2x+70 to get 80
cfe and afe are also complementary so they will add up to equal 180 so angle cfe equals 100
cfd and cfe are the same angles so 100/2=50.
the arc length is the same as the angles so arc length dc is 50
Can somebody who has done word problems plz help give the correct equations for each one :DD thanks!
WILL MARK BRAINLIEST WHOEVER ANSEERS THEM FIRST !!!!!!:D
Answer:
18. x + 7 = 21
19. x - 55 km = 1000 km
George and mindy are playing with a ball that has a diameter of 38 centimeters. What is the volume of the ball?
Answer:
28734.6cm^3
Step-by-step explanation:
Given data
diameter of ball = 38cm
radius = 38/2 = 19cm
The volume of a spher= 4/3πr^3
substitute
V= 4/3*3.142*19^3
V=4/3*3.142*6859
V=4/3*21550.978
V=86203.912/3
V= 28734.6cm^3
Hence the volume of the ball is 28734.6cm^3
Write an
equation of the line passing through the points (4,13) and (-1,- 12).
Answer:
Step-by-step explanation:
(-12 - 13)/(-1 - 4)= -25/-5 = 5
y - 13 = 5(x - 4)
y - 13 = 5x - 20
y = 5x - 7
Simplify:
(8 - 5i) - (-2 +3i)
Answer:
(3) -(1) = 2i
Step-by-step explanation:
use bomdass
Answer:
Step-by-step explanation:
(8-5i)(2-3i)
using FOIL,
16-34i+15i squared?
The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif
Answer:
18ft
Step-by-step explanation:
Given data
Ratio of length to width = 5:3
Length = 30ft
Apply the part to part method
let the width be x
5/3= 30/x
cross multiply
5x= 30*3
5x= 90
x= 90/5
x=18 ft
Hence the width is 18ft
answer this question plz
Jessica wants to buy 6 ounces of gluten-free edible cookie dough that costs $1.50 per ounce. Select all equations that correctly represent how much Jessica will pay for her cookie dough, y .
Answer:
9 dollars
Step-by-step explanation:
Hello you did not provide the options for me to select from. But I have gone ahead to calculate how much jessica would pay for her cookie dough.
I used this formula to arrive at this answer.
Cost of dough = quantity x price per ounce
Quantity = 6 ounces
Price per ounce = 1.5 dollars
Cost of dough = 6 x 1.50
= $9
Jessica is going to pay 9 dollars for her cookie dough
Write and equation for each line.
Answer:
l - y=4
m y = -2x+4
n y =x-1
p - x=-4
Step-by-step explanation:
Answer:
Blue: x=-4
Green: y=x-1
Black: y=-2x+4
Red: y=4
Step-by-step explanation:
can someone help me out please. its due soon and i dont have alot of time
Answer:
heyy there sorry i wish i could help i think its the first one!!!
Step-by-step explanation:
Si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a: * 1 punto 6 4 -2 -6
Answer:
4
Step-by-step explanation:
Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.
Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.
Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.
Obtención del MCD original:
a) 6 + 8 = 14
b) 4 + 8 = 12
c) 2 + 8 = 6
d) 6 + 8 = 2
Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.
Para el 6432:
6432 / 2 = 3216
6432 / 6 = 1072
6432 / 12 = 536
6432 / 14 = 459,24
Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:
Para el 132:
132 / 2 = 66
132 / 6 = 22
132 / 12 = 11
Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:
12 - 8 = 4Exitos
Por definición de máximo común divisor,
MCDSe denomina máximo común divisor o MCD al mayor número que divide exactamente a dos o más números a la vez. Es decir, MCD de dos o más números es el mayor número que divide a todos de manera exacta.
En otras palabras, el máximo común divisor o MCD es la cifra más alta por la cual se puede dividir un conjunto de números, dando como resultado un número entero.
Recordar que un divisor puede definirse formalmente como aquel número que está contenido en otro de forma exacta una cantidad n de veces.
Cálculo de MCDPara calcular el máximo común divisor de dos o más números, en primer lugar se debe descomponer esos números en factores primos.
La descomposición de un número en factores primos es encontrar los números primos que se multiplican para formar ese número, recordando que los números primos son aquellos que solo se dividen por sí mismos y por 1.
El máximo común divisor se obtiene escogiendo solo los factores primos comunes a los números, elevados al menor exponente. Es decir, se debe elegir solo los factores comunes, y los que se repitan son elegidos elevados a la mínima potencia.
Este casoLa descomposición en factores primos es:
6432= 2⁵×3×67
132= 2²×3×11
Entonces, el MCD es calculado como:
MCD (6432, 132)= 2²×3
MCD (6432, 132)= 12
Por último, el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, por lo que:
12 - 8= 4
En resumen, si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a 4.
Aprende más sobre MCD:
https://brainly.com/question/16553918?referrer=searchResultshttps://brainly.com/question/24176034?referrer=searchResults
I need help please!!!! RIGHT NOW!!!
The shoes cost $200 with a sales tax of
7.5%, How much is the total Costs?
A pound of scrap aluminum sells for $0.72. How much aluminum do you need
to collect to earn $100?
Answer:
about 139 lbs of scrap aluminum :)
Please help me I have a time limit for this thank you ❤️
HEY CAN ANYONE PLS FIND THE SLOPE FOR THIS GRAPH!!
Answer:
1/3
Step-by-step explanation:
Rise is 1, run is 3, and slope is rise over run. Hope this help. God bless! :)
A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1
Answer:
1. x < −6
2. x < 3.2
3. x < 4
4. x>12.5
5. ? there is no "<, >" sign
6. b<5
7. z<−2.1
pls give brainliest
Step-by-step explanation:
see photos for explanation
which of the following trigonometric ratios is equal to 0?
cos π
sin 2π
cot 3π
cos 4π
Answer:
sin 2π
Step-by-step explanation:
None of the given trigonometric functions are equal to zero.
What are trigonometric ratios?Trigonometric ratios are used to define the relation between the sides of a right - angled triangle.
Given are the trigonometric functions.
cos π = - 1
sin 2π = 1
cot 3π = -1
cos 4π = 1
None of the functions are zero.
Therefore, none of the given trigonometric functions are equal to zero.
To solve more questions on trigonometric ratios, visit the link below -
https://brainly.com/question/25122832
#SPJ2
does anyone know the answer???
Answer:
Step-by-step explanation:
R=50+20t, B=150-20t they will be the same height when
50+20t=150-20t
50+40t=150
40t=100
t=2.5, usingvthis value for t in either original equation will give you the height.
h=50+20(2.5)
h=100m
Answer:
it would be 100. they would both meet at 100m