Answer:
There are 4 solutions
Step-by-step explanation:
Solve it
Alice's average mark for 4 Science exams is 68%. Can Alice score enough marks in a fifth exam so that her average mark increases to 75?%? Give reasons.
Answer:
It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.
Step-by-step explanation:
She scored an average 68% in all 4 exams.
This means; (68% + 68% + 68% + 68%)/4
Now, a fifth exam is added and we want to know if her average can now be 75%.
Thus, let the score in the 5th exam be x and we now have;
(68% + 68% + 68% + 68% + x)/5 = 75%
Multiply both sides by 5 to get;
(68% + 68% + 68% + 68% + x) = 375%
272% + x = 375%
x = 375% - 272%
x = 103%
The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%
Solve by elimination by filling in the blanks below.
We will cancel our x's in this problem!
-5x+4y=30
2x+3y=-12
Answer: (x, y)=(0, -6)
Step-by-step explanation:
To solve a system of equations there are usually 3 general ways.
- Elimination
- Substitution
- Augmented Matrix
Since the question is asked to use elimination, we are going to use it.
--------------------------------------------------------------------------------------
-5x+4y=30
2x+3y=-12
-10x+8y=60
10x+15y=-60
23y=0
y=0
------------------------------------------------------------------------------------------
Substitute the y value into any one of the equations
2x+3y=-12
2x+3(0)=-12
2x+0=-12
x=-6
Hope this helps!! :)
Please let me know if you have any questions
Which expression is equivalent to V64a^6 ?
Answer:
8a^3
Step-by-step explanation:
PLEASE HELP!!! If the simple interest on $7,000 for 5 years is $2,100, then what is the
interest rate?
formula.
2100 = 7000 .r: 5
Solve for r.
re
(Simplify your answer. Type an integer or a decimal.)
Answer:
46.66
Step-by-step explanation:
what is the percentage decrease, if the price of a shirt is reduced from 800rupees to 640rupees?
(pls answer quickly it is very urgent)
Stephen places 950 pounds in a bank that pays 1.6 percent simple interest per year. How much interest will he earn each year
Answer:
15.2
Step-by-step explanation:
You have to divide 950 by 1.6 percent
950/1.6
John opens a saving account with an initial deposit of $282.50. Every week, he deposits $45.50 in the account. How much will John have in his account after 7 weeks?
a. $328.00
b. $289.50
c. $601.00
d. $318.50
Answer:
C
Step-by-step explanation:
total amount after 7 weeks=282.50+45.50 ×7
=282.50+318.50
==601.00 $
6.5 B Level
If a triangle has two sides that are 17 meters & 4 meters.
What statement below best describes the range of values
the 3rd side could be?
Smaller than 20 meters
O Larger than 13 meters
Between 13 meters & 21 meters
Larger than 21 meters
Answer:
Between 13 meters & 21 meters
Step-by-step explanation:
Sum of two sides of a triangle must be greater than the third side and difference of two sides must be less than the third side.
Sum of two sides [tex]=17+4=21[/tex] meters
Difference of two sides [tex]=17-4=13[/tex] metres
Therefore,
[tex]13<[/tex] third side [tex]<21[/tex]
Option: Between 13 meters & 21 meters is correct.
Which is NOT a valid method of proving triangles similar?
1)AA
2)SSS
3)ASA
4)SAS
Answer:
1
Step-by-step explanation:
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?
Find x ?
PLEASE HELP
Answer:
x = 16
Step-by-step explanation:
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:
Hey guys please help if I did this question correct if not can you answer it for me I would give you a Brainliest answer if you answer and that is NO JOKE❤
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
Daniel filled 1/4 cup scoop 2 times with nuts for a recipe which size measuring cup could daniel have filed one time to have the same amount for the recipe.
Answer:
[tex]Size= \frac{1}{2}\ cup[/tex]
Step-by-step explanation:
Given
[tex]Size = \frac{1}{4}\ cup[/tex]
[tex]Scoop = 2[/tex]
Required
Determine the size of cup for 1 scoop
For two scoops, we have:
[tex]Recipe = \frac{1}{4}+ \frac{1}{4}[/tex]
Take LCM
[tex]Recipe = \frac{1+1}{4}[/tex]
[tex]Recipe = \frac{2}{4}[/tex]
[tex]Recipe = \frac{1}{2}[/tex]
This implies that, the amount of recipe is 1/2
If he uses a cup of size 1/2, he would only need 1 scoop.
Hence:
[tex]Size= \frac{1}{2}\ cup[/tex]
Rosalia passed out fliers that say, “Vote for Rosalia!" She
gave out 85 fliers on Monday, 66 fliers on Tuesday, and
99 fliers on Wednesday. What fraction of the fliers did
she give out on Wednesday? Use a diagonal fraction bar
in your answer Explain how you found the answer
Answer:
Step-by-step explanation:
there is a total of 250 fliers. the simplist form is 99/250
Answer:80
Step-by-step explanation:it’s -19 then +33 so 85-19=66 and 66+33=99
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
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 cylinder has a diameter of 10 centimeters and a height of 15 centimeters. What is the surface area of the cylinder to the nearest tenth, if necessary
The surface area of the cylinder to the nearest tenth is: 628.3
The surface area without rounding is: 628.32
Jackie had $50.00. She bought 2 skirts for $18.95 each, including tax. She also bought lunch for $5.50. How much money does Jackie have left?
Answer:
She has $6.60
Step-by-step explanation:
2(18.95) + 5.50 = 43.4
50 - 43.4 = $6.60
Answer:
She has $6.60 left.
Step-by-step explanation:
$18.95x2 is 37.90. $37.90+ $5.50 is $43.40. $50.00- $43.40 is $6.60.
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
3x^2 + 9x + 4x + 12
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
The ratio of boys to girls in the soccer club is the same as in the volleyball club. There are 20 boys and 12 girls in the soccer club. There are 9 girls in the volleyball club. How many boys are in the volleyball club?
Answer:
15
Brainiest plz :)
Answer:
15
Step-by-step explanation:
20-12=6
15-9=6
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
By how much will the value of the number
67,351 decrease if the 7 is replaced by a 5?
2
200
2,000
20,000
0 20
Answer: 2,000
Step-by-step explanation:it’s 2,000 because the 7 is in the thousand place and 7 minus 5 = 2.
Please help me I have a time limit for this thank you ❤️
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
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
HELP MEH PLS! Will mark brainliest :3
Simplify it- don't solve it. Show your work too pls!
Answer:
Step-by-step explanation:
[tex](1/5k)^2=1/5^2*k^2[/tex]
[tex]1/25*k^2=\frac{k^2}{25}[/tex]
Answer: [tex]\frac{1}{25}k^2[/tex]
This is equivalent to [tex]\frac{k^2}{25}[/tex]
In decimal form, this is equivalent to 0.04k^2
==================================
Work Shown:
We have the two pieces 1/5 and k, all in the parenthesis being squared.
Square each piece
Squaring the piece 1/5 leads to (1/5)^2 = 1/25, since 5^2 = 25squaring the k value leads to k^2So overall, we end up with the answer [tex]\frac{1}{25}k^2[/tex] which is equivalent to saying [tex]\frac{k^2}{25}[/tex]
In decimal form, this is 0.04k^2 because 1/25 = 0.04