[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]
Instructions: Find AB. given that line AD is the perpendicular bisector of BC.
Answer:
19
Step-by-step explanation:
because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19
Can someone help me with this math homework please!
Answer:
The first one is X=4
the second one is 5n - 300= 1,500
Step-by-step explanation:
long division using place value
Answer:
this involves dividing numbers by making use of their place values or value
Step-by-step explanation:
hope this is helpful
Kylie has only quarters and
nickels in a jar. The total value in
the jar is $2.00. If there are a total
of 20 coins, how many of each
type of coin are in the jar?
? Quarters. ? Nickels
CUALES SON LOS GRADOS PARA HACER UNA GRAFICA DE PASTEL, CON LOS SIGUIENTES PORCENTAJES( 20%,50%,10%)
Answer:
Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.
En este caso tenemos los porcentajes 20%, 50%, 10% (notar que no suman 100%, entonces nos falta algún porcentaje)
Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.
Y en un círculo, tenemos un ángulo de 360°
Entonces comenzamos con la equivalencia:
360° = 100%
Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:
x = 50%
Si tomamos el cociente entre las ecuaciones:
x = 50% y 360° = 100%
obtenemos:
x/360° = 50%/100%
resolviendo para x, obtenemos:
x = (50%/100%)*360° = 0.5*360° = 180°
Para los otros porcentajes hacemos lo mismo.
Para el de 20% tenemos:
y = 20%
planteamos la ecuación:
y/360° = 20%/100%
y = 0.2*360° = 72°
Finalmente, para el de 10% tendremos:
z = 10%
planteando la ecuación como antes:
z/360° = 10%/100%
z = 0.1*360 = 36°
Asi, hemos encontrado los grados correspondientes para cada porcentaje.
PLS HELP ASAP
what is the equation for the line of symmetry for the function below?
y-1=-2(x+3)^2
A. x=3
B. x=-2
C.x=-3
D.y=7
I THINK ITS C BUT IM NOT SURE
What is the length of a diagonal of a square with a side length of 6?
A. 3
B. V
C. 3.12
D. 6
The map shows locations of a new town. Circle the correct ordered pair for each location.
A. Library
(2, 3)
(3, 2)
(3, 3)
(8,2)
B. Park
(2,8)
(8,3)
C. Market
(3,7)
(4,7)
(3,6)
D. Rec Center
(4,10)
(10,4)
(4,9)
E. Pool
(6,5)
(6,7)
(6,6)
F. MovieTheater
(8,9)
(9,8)
(9,9)
G. Ice CreamShop
(5, 4)
(4,5)
(6,4)
Answer:
library 2,3
park 8,2
market 3,7
red centers 4,10
pool 6,6
movie theater 9,9
ice cream shop 5,4
Increase £16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls
Answer: £18693.96
Step-by-step explanation:
13.5% = 0.13516470.45 + 16470.45(0.135)
= 16470.45(1 + 0.135)
= 16470.45(1.135)
≈ 18693.96
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.
x = number of used games
y = number of new games
Which linear equation, written in standard form, expresses the scenario?
Answer:[tex]12x+25y=300[/tex]
Step-by-step explanation:
Answer:
12x + 25y = 300
Step-by-step explanation:
como se lee el número decimal 0.3
pls help me i’m so stuck
Answer:
Step-by-step explanation:
If a point (x, y) is reflected across y = -x, coordinates of the image point will be,
(x, y)→ (-y, -x)
Following this rule,
Vertices of the triangle will be,
(3, 1) → (-1, -3)
(3, -2) → (2, -3)
(6, -3) → (3, -6)
Therefore, image of the given triangle A will be,
(-1, -3), (2, -3) and (3, -6)
if 8 out of every 10 high school students take a math class, how many students in a high school with 700 students are in the math class?
Answer:
560
Step-by-step explanation:
8 out of 10 is 80%, so then the answer would be 80% of 700, which would be 560
Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
What is the area of the square when rounded to the nearest whole number?
Answer:
16
Step-by-step explanation:
Its a square, so AB=CD, AC=BD and
1. Can cross multiplication be used to solve this problem? Why or why not?
HELP
Answer:
Step-by-step explanation:
Cross multiplication can be used but not in the beginning. First x should be isolated.
[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]
Now subtract [tex]\frac{5}{x}[/tex] from both sides
[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]
In this stage, cross multiplication can be used.
[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]
Answer:
x =0 and x =2/3
Step-by-step explanation:
as is no
but if you put an x under the 3 to make 3x/x
then you'd have 3x+5/x = 7/x
to make
3x^2 + 5x = 7x
this makes
3x^2 -2x =0
using the quadratic formula
answers
x =0 and x =2/3
Which expressions have the same solution as –4(6)? Select three options..
–4(– 6)
4(– 6)
6(– 4)
–8(2)
12(– 2)
Answer:
4(– 6)
6(– 4)
12(– 2)
Step-by-step explanation:
There are 120 teachers in a ABC school. Determine the value of k using the systematic sampling technique to select a sample of 40 teachers.
Answer:
K=30
Step-by-step explanation:
120÷4 = 30
k=30
The value of k for selecting 40 teachers out of 120 is 1 / 3.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that there are 120 teachers in an ABC school and 40 teachers need to be selected,
The value of k will be calculated by the concept of probability as below,
k = Number of favourable outcomes / Number of sample
k = 40 / 120
k = 1/3
Therefore, the value of k for selecting 40 teachers out of 120 is 1 / 3.
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** I need help for this one***
Answer:
60
Step-by-step explanation:
the two angles are equal angle x and the one opposite
=180-40
=120 ÷2
=60
Answer is
z = 70
x = 70
Step-by-step explanation:
z is also equal to x because two sidess are equal
40 + x + x =180
40 + 2x = 180
2x = 140
x =70
so x and z are 70 each
Aslam's age is half of his father's age but 15 years ago his age was just
the father's age. Find his present age now.
Answer:
not possible or not determined is answer
Step-by-step explanation:
because let his father be 33
ad his son be 17
15 years ago
son will be 2
and father will be 18
not possible father's age ≠son's age in any respect unless and until father's age is decreased
ANSWER THIS PLEASE !!
Answer:
B. point B
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
B(-1, -3)
y = 3x
When x = -1,
y = 3(-1) = -3
Answer: B.
someone help me please with this algebra problem
Answer:
x=44-y
Step-by-step explanation:
In this problem, there are 44 glasses in total. Additionally, we want to know how many ice teas she can have; therefore, we must find x. The problem tells us that when x and y are added together they should equal 44. One way to solve this is to write the equation, x+y=44, because we know it is true and then solve for x. To find x subtract y from both sides. This equals x=44-y, the final answer.
Please help ASAP and please show work if possible.
Answer:
72° and 108°
Step-by-step explanation:
let one angle be x then the other angle is 1.5x
A linear pair sum to 180° , so
x + 1.5x = 180 , that is
2.5x = 180 ( divide both sides by 2.5 )
x = 72
1.5x = 1.5 × 72° = 108°
The two angles are 72° and 108°
Answer:
do you have wazapp I can send full pic of the answer here
Find the distance between each pair of points. Round to the nearest tenth if necessary.
(-3, 6) (2,1)
Answer:
The distance between the two points is about 7.1 units.
Step-by-step explanation:
We want to find the distance between the two points (-3, 6) and (2, 1).
To find the distance between any two points, we can use the distance formula:
[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:
[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]
Simplify:
[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]
Evaluate:
[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]
The distance between the two points is about 7.1 units.
f(x) = 2x^2 Find f (-6)
Answer:
[tex]72[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2[/tex]
replace x with -6
[tex]f(-6)=2(-6)^2[/tex]
exponent
[tex]f(-6)=2(36)[/tex]
multiply
[tex]f(-6)=72[/tex]
The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum height, in meters
reached by the projectile?
Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
which graph best represents the line y= -1/5x+2
Answer:
B
Step-by-step explanation:
Line crosses y-axis at 2.
Slope = [tex]\frac{-1}{5}[/tex]
For each 1 square the line rises/falls it moves to the right/left 5 squares.
Negative slope lines are downhill left to right.
The correct graph to represent the line y = -1/5 x + 2 will be;
⇒ Graph 2
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The equation of line is;
⇒ y = - 1/5 x + 2
Now,
The standard form of the equation of line with slope m and y intercept at point b is given as;
y = mx + b
By comparing we get;
Slope (m) = - 1/5
In the second figure;
Let two points on the graph (0, 2) and (5 , 1).
So, Slope is defined as;
m = (1 - 2) / (5 - 0)
m = - 1 / 5
And, Clearly the y - intercept is at point 2.
Therefore,
Graph 2 shows the correct graph to represent the line y = -1/5 x + 2.
Learn more about the equation of line visit:
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Find ordered pairs for y= 2x + 3 if x is {1,2,3}
Answer:
(1,5),(2,7),(3,9)
Step-by-step explanation:
x= 1
=> y=2*1+3 = 5
x=2
=> y=2*2+3 = 7
x=3
=> y=2*3+3 = 9
Given f(x) = x^3 - 9x and g(x) = x^2, choose
the expression for (fºg)(x).
Answer and Step-by-step explanation:
We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).
Here, we need to plug in every value of x in f(x) with the value of g(x).
f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]
An exponent raised by an exponent results in the exponents multiplying together.
f(g(x)) = [tex]x^6 - 9x^2[/tex] <- This is the final answer.
I hope this helps!
#teamseas #PAW (Plant And Water)
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.
Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate
Answer:
7/(6 + x) = 3/(6 - x)
Step-by-step explanation:
The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph
The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream
Let x represent the rate of the canoe, we have;
7/(v + x) = 3/(v - x)
Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;
7/(6 + x) = 3/(6 - x).