Complete question:
Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?
Answer: the mass of sand removed from both containers is 0.2kg
Step-by-step explanation:
Given that:
Mass of sand in container X = 1200g = 1.2kg
Mass of and in container Y = 7.2kg
Equal amount of sand was removed from both.
Let the mass of sand removed from both containers = z
That is;
Container X = 1.2 - z
Container Y = 7.2 -z
Now container Y has become 7times the content in container X
Container Y = 7 * (container X)
7.2 -z = 7(1.2 - z)
7.2 - z = 8.4 -7z
-z + 7z = 8.4 - 7.2
6z = 1.2
z = 0.2
Therefore, the mass of sand removed from both containers is 0.2kg
Please help! I know its either B or D but im not sure how to tell
Answer:
D.
Step-by-step explanation:
To find the equation of g(x), we can substitute the point into each of the equations.
A. g(x) = (1/4x)^2
1 = (1/4 * 2)^2
1 = (1/2)^2
1 = 1/4
This statement is false, so this is not the equation.
B. g(x) = 1/2 * x^2
1 = 1/2 * (2)^2
1 = 1/2 * 4
1 = 2
This statement is false, so this is not the equation.
C. g(x) = 2x^2
1 = 2 * 2^2
1 = 2 * 4
1 = 8
This statement is false, so this is not the equation.
D. g(x) = (1/2x)^2.
1 = (1/2 * 2)^2
1 = 1^2
1 = 1
This statement is true, so this is your answer.
Hope this helps!
can someone please help me
Answer:
-4
Step-by-step explanation:
In order to get from point -1, 8, to point 2, -4, you would have to go down 12 and right 3, which would be 12/-3, which would simplify to -4
Answer:
-4Option B is the correct option
Step-by-step explanation:
Let the points be A and B
A ( -1 , 8 ) -----> ( x1 , y1 )
B ( 2 , -4 ) -----> ( x2 , y2 )
Now, let's find the slope of the line:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{ - 4 - 8}{2 - ( - 1)} [/tex]
Calculate the difference
[tex] \frac{ - 12}{2 - ( - 1)} [/tex]
When there is a (-) in front of an expression in parentheses , change the sign of each term in expression
[tex] \frac{ - 12}{2 + 1} [/tex]
Add the numbers
[tex] = \frac{ - 12}{3} [/tex]
Reduce the fraction with 3
[tex] = - 4[/tex]
Hope this helps..
Best regards!!
work out the shaded area.
plzzzz
Answer:
Shaded area: 70cm^2
Step-by-step explanation:
Whole=120cm^2
White Square=
10-2.5-2.5=5
12-1-1=10
5✖️10=50cm^2
Whole-white=70cm^2
variance of 147,141,120,124,128
Answer:
Variance population of 147,141,120,124,128 = 106
Variance sample of 147,141,120,124,128 = 132.5
Hope this helps and PLSSS MARK AS BRAINLIEST :)
Answer:
See below.
Step-by-step explanation:
The mean = (120+124+128+141+147) / 5
= 660 / 5
= 132
Difference between the values and the mean = -12, -8, -4, 9, 15.
Squares of these differences = 144, 64, 16, 81, 225
Sum of these squared differences = 530
So the variance = 530 / 5
= 106.
This is the population variance.
The sample variance = 530 / (5-1)
= 132.5.
Help Needed! Legit Answers Only.
The given point (2,5) is in the form (x,y). So x = 2 and y = 5.
Plug x = 2 into the equation given to find the predicted y value
y = 2.5x - 1.5
y = 2.5(2) - 1.5
y = 5 - 1.5
y = 3.5
We get a predicted y value of 3.5, and the actual y value is 5. Subtract the two values in this exact order
residual = (actual) - (predicted) = 5 - 3.5 = 1.5
A positive residual means that our predicted value is too small. A negative residual would be that the predicted value is too large.
Answer:
d=1.5
Step-by-step explanation:
y=2.5x-1.5 point (2,5)
f(2)=2.5(2)-1.5
f(2)=3.5 now we have two point , find the distance between them
(2,5) and (2,3.5)
d=√(x2-x1)²+(y2-y1)²
d=√(2-2)²+(3.5-5)²=
d=√1.5²=1.5
tried different way, it is 1.5
what is the 6th term in the geometric sequence described by this explicit formula ?
Answer:
the answer is d. -5120
Step-by-step explanation:
[tex]a_{n} =-5(4)^{n-1}\\a_{6}=-5(4)^{6-1} \\a_{6}=-5(4)^{5} \\a_{6}=-5(1024)\\a_{6}=-5,120[/tex]
Please answer it now in two minutes
Answer:3.2 ft
Step-by-step explanation:
sin 32°=[tex]\frac{yz}{6}[/tex]
cross multiply
sin 32° x 6=yz
0.5299 x 6 =yz
yz=3.1795
≅3.2ft
four less than three times a number is 20
Answer:
3x-4
Step-by-step explanation:
Have a good day!!
Answer:
3x-4
Step-by-step explanation:
What is the value of x
Answer:
4
Step-by-step explanation:
For the first triangle which is triangle <KJL
Hypotenuse= 8✓2
Angle=30°
Opposite = ?
Therefore we will use Sine formula
Sin30° = Y/8✓2
Y=4✓2
For the second triangle which is triangle <JML
Hypotenuse= 4✓2
Opposite=X
Angle=45°
Therefore we will use Sine formula again
Sin45°=X/4✓2
X=4
Answer:
x = 4Step-by-step explanation:
ΔJKL is half of equilateral triangle and ΔJML is half of square.
We can use properties of these triangles (picture):
m∠KJL=90° and m∠JKL = 30° ⇒ JL = 0.5KL = 0.5•8√2 = 4√2
m∠JML=90° and m∠MJL = 45° ⇒ JL = ML√2
4√2 = x√2
x = 4
A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2.0 miles to the finish line. A rectangle with a width of 0.75 miles and height of 0.5 miles. The 2 mile finish comes out of one corner. Using the equation w (1.5 + 1) + 2 = 17, the race's organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error? The equation should be 0.75 w + 0.5 w + 2 = 17, and the cyclists will need to ride 12 laps before the sprint to the finish. The equation should be 2 (0.75 w + 0.5) + 2 = 17, and the cyclists will need to ride 21 laps before the sprint to the finish. The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish. The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish.
Answer:
it is c because i took test review
Step-by-step explanation:
Answer:
C The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.
BC is parallel to DE.
AB= X, AD=5, AC=X+1 and AE=7. The value of X is?
A: 0.5
B: 1.5
C: 2.5
D: 3.5
Answer:
x= 2.5
Step-by-step explanation:
We can use ratios to solve
AB AD
------- = ----------
AC AE
X 5
------- = ----------
x+1 7
Using cross products
7x = 5(x+1)
Distribute
7x = 5x+5
subtract 5x
7x-5x = 5x-5x+5
2x= 5
Divide by 2
2x/2 = 5/2
x = 2.5
If f(x) =27, then x=?
Answer:
x=1
Step-by-step explanation:
f(x)=27
y=27(x)
x=1
y=27
[tex] \sqrt[3]{y} = a(c + \frac{1}{x})[/tex]
Greetings from Brasil...
Here we don't have much to go
∛Y = A.(C + 1/X)
∛Y = (AC + A/X)
raising both members to the cube.....
(∛Y)³ = (AC + A/X)³
from Notable Products: (a + b)³ = a³ + 3a²b + 3ab² + b³
Y = (AC)³ + 3(AC)².(A/X) + 3AC(A/X)² + (A/X)³
Y = A³[C³ + (3C²/X) + (3C/X²) + (1/X³)]
Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: (a + b)^2, (a – b)^2, and (a - b)(a + b).
Answer:
(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2
(a-b)(a+b) = a^2 - b^2
Step-by-step explanation:
elogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD. A. 6 B. 16 C. 18 D. 32
Answer:
D
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
DE = BE , substitute values
4y - 8 = y + 10 ( subtract y from both sides )
3y - 8 = 10 ( add 8 to both sides )
3y = 18 ( divide both sides by 3 )
y = 6
Thus
BD = y + 10 + 4y - 8 = 5y + 2 = 5(6) + 2 = 30 + 2 = 32 → D
En la figura los segmentos ED y AC son paralelos selecciona los triangulos q son 1)Triangulo ABE 2)Triangulo BCD 3) Triangulo BDE
Respuesta:
Los 3 triángulos son semejantes.
Explicación paso a paso:
En estos casos nos dan a conocer los ángulos de los triángulos, por lo tanto el criterios de semejanza se reduce si más de dos de sus ángulos internos son iguales.
Por lo tanto, sabemos que en los triángulos ABE y BCD presentan los mismos ángulos, 80°, 40° y 60° por lo que podemos afirmar que ambos triángulos son semejantes.
Ahora bien, para el triangulo BDE, podemos conocer solo un angulo del que es de 80°, pero el resto sería desconocido, lo que quiere decir que no podríamos determinar si es semejante con los otros, pero por medio de los ángulos externos determinamos que si corresponde también a 60° y 40°, por lo tanto, los 3 triángulos son semejantes.
Solve x2 − 7x = −12. (6 points) x = 6 and x = −2 x = 4 and x = 3 x = 2 and x = 6 x = −4 and x = −3
Work Shown:
x^2 - 7x = -12
x^2 - 7x + 12 = 0
(x - 3)(x - 4) = 0 ... see note below
x - 3 = 0 or x - 4 = 0
x = 3 or x = 4
Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.
Answer:
x=3 x=4
Step-by-step explanation:
x^2 − 7x = −12
Add 12 to each side
x^2 - 7x +12 =0
Factor
What 2 numbers multiply to 12 and add to -7
-3*-4 = 12
-3+-4 = -7
(x-3)(x-4) =0
Using the zero product property
x-3 =0 x-4 =0
x=3 x=4
Simplify the expression 3^-8× 34.
Answer:
= [tex]\frac{34}{6561}[/tex]
Step-by-step explanation:
[tex]= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}[/tex]
Answer:
1/81
Step-by-step explanation:
At Camp Sunshine, 4 kids went home sick. Of the remaining campers, 18 kids went hiking and the other 41 kids spent the day swimming. how many kids started the day at camp sunshine!?!??!?!?!?!?!?!?! I NEED TO KNOWWW
A spinner has six spaces that are all the same size. Three spaces are yellow, two are red, and one is blue. If the spinner is spun 150 times, it should land on yellow about ___ times, on red about ___ times, and on blue ___ times.
The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
How to solve the probabilityYellow: 3 spaces out of 6, so the probability is 3/6 = 1/2
Red: 2 spaces out of 6, so the probability is 2/6 = 1/3
Blue: 1 space out of 6, so the probability is 1/6
multiplying the probability of each color by 150:
Yellow: 1/2 * 150 = 75 times
Red: 1/3 * 150 = 50 times
Blue: 1/6 * 150 = 25 times
Terefore The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
Read more on probability here:https://brainly.com/question/24756209
#SPJ1
If you wrote the numbers from 1-8, and it equals to three, how do you make the statement true if you can't change the 3 but you could connect two or more numbers to make the statement true if you also can only do subtraction?
Answer:
Just add 6 to the right side of 3 which will make as 36
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36
Hope it helps u...pls mark as brainliest
what is 9393 divided by 81x1 ?
Answer:
115.96
Step-by-step explanation:
=> [tex]9393 / 81 * 1[/tex]
By BODMAS, Dividing first
=> 115.96 * 1
Now, Multiplying
=> 115.96
Answer:
115.962963
Step-by-step explanation:
81 x 1 = 81
9393 ÷ 81 = 115.96
An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to
help answer the question.
Metric Table
kilo-
1,000
hecto-
100
unit
deka-
10
centi-
deci-
0.1
1
milli-
0.001
0.01
A.) 3.5 x 100
B.) 3.5-100
C.) 3.5-10
D.) 3.5x 10
Answer:b
Step-by-step explanation:
C and D are wrong because both of them should be divided and by 100. A is wrong because you are supposed to divide because if you multiply 3.5 x 100 its 350 and it just doesn’t make any sense because milli is smaller than deci. So by process of elimination b is the right answer.
Answer:
b
Step-by-step explanation:
:D
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
A.
IR
V =
2
3
V=4
B.
Oc. v=1
V = 1/2
v=1
D.
3
.
Answer:
[tex]\frac{4}{3} \pi r^3[/tex].
Step-by-step explanation:
Let's say that the radius is r. The base diameter is two times the radius, or 2r.
Since the height is two times the diameter, the height is 2 * 2r = 4r.
The volume of a cone is 1/3 * h * pi * r^2. So, the volume of the cone is 1/3 * 4r * pi * r^2 = 1/3 * pi * 4r^3 = 4/3 * pi * r^3.
So, the volume of the cone is [tex]\frac{4}{3} \pi r^3[/tex].
Hope this helps!
PLEASE ASWER FASTThe x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
Answer:
6
Step-by-step explanation:
Well first we need to tfraph the following equation,
2y - x = -6
Look at the image below
Thus,
by looking at the graph we can tell that the x-intercept is 6.
Hope this helps :)
Answer:
x -intercept = 6Step-by-step explanation:
Method 1
[tex]2y -x = -6\\Let ; y =0\\2(0) -x =-6\\-x =-6\\x = 6\\\\ (6 , 0 )[/tex]
Method 2
[tex]x - interept = -c/a\\a = -1\\b =2\\c = 6\\\\x - intercept =\frac{ -(6)}{-1} \\\\x - intercept = 6[/tex]
A football team lost 5 yards on one play and gained 12 yards on the next play. Find the overall change in field position.
Answer:
Equation: -5 + 12
Overall change: 7 yards
Step-by-step explanation:
In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.
The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.
Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.
Therefore, the answer is 7 yards.
What is the value of p such that the line passing through (6,2) and (9,p) has a slope of -1?
Answer:
p= -1
Step-by-step explanation:
gradient=y²-y¹
x²-x¹
-1 =p-2
9-6
-1=p-2
3
multiply both sides by 3 to remove the denominators
-1×3=p-2
-3=p-2
put the like terms together
-3+2=p
-1=p
Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n
Answer:
a. -17 -9n
Step-by-step explanation:
Question written clearly below:
Which answer choice is equivalent to the expression below?
-7(2+n)+1/3(-9-6n)
a.-17 -9n
b, -14-12n
c. 11+5n
d. 14+2n
Solution
-7(2+n)+1/3(-9-6n)
Open parenthesis
(-14-7n)+(-9/3-6/3n)
= -14-7n+(-3-2n)
= -14-7n-3-2n
Collect like terms
= -14-3-7n-2n
= -17-9n
The answer is option a. -17 -9n
Answer:
-17 -9n
Step-by-step explanation:
i got it right on edge
An algebraic expression for the perimeter of a rectangle with a length of 4x and a width of 3x
Which is the solution to the equation 3.5 (2 h + 4.5) = 57.75? Round to the nearest tenth if necessary.
Answer:
h = 6
Step-by-step explanation:
Step 1: Distribute
7h + 15.75 = 57.75
Step 2: Subtract 15.75 on both sides
7h = 42
Step 3: Divide both sides by 7
h = 6