Solve by using substitution. Express your answer as an ordered pair.
Answer:
(1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x + y = 2
y = x - 3
Step 2: Solve for x
Substitution
Substitute in y: 4x + (x - 3) = 2Combine like terms: 5x - 3 = 2Isolate x term: 5x = 5Isolate x: x = 1Step 3: Solve for y
Define equation: y = x - 3Substitute in x: y = 1 - 3Subtract: y = -2A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.
12 m
132 m
264 m
825 m
Answer:
132 m
Step-by-step explanation:
distance= speed*time
d=0.4*330
=132
The distance between the director and the drum will be; 132 m.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.
Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.
The formula of the sound in correlation with time of hear and distance is ;
time of hear = speed of sound : distance.
As per data given, time of hear = 0.40s;
speed of sound = 330 m/s.
The distance will be:
Distance= speed x time
d = 0.4 x 330
d = 132
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6x +1.5x = 2
What is x=

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]
Solution Steps:______________________________
1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]- You combine since these are like terms.
Equation at the end of Step 1:
[tex]7.5x=2[/tex]2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]- We divide because we want to get x alone.
Equation at the end of Step 2:
[tex]x=\frac{2}{7.5}[/tex]3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]- We turned this into a fraction because we couldn't divide properly.
4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex] [tex]75[/tex] ÷ [tex]5=15[/tex]- This step just means divide the lowest amount possible, which in this case is 5.
______________________________
I have a question this is the picture
Answer:
The answer is D
Step-by-step explanation:
If you plug them into Desmos, they'll line up
how many eighth size parts do you need to model 3/4
Answer:
You need 6, 1/8 parts to make 3/4
Step-by-step explanation:
The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4
6/8ths is the correct answer
bruh
Pregunta En cierto supermercado, Monica pagó $ 3,20 por 2 libras de manzanas y 2 libras de naranjas, mientras que Sarah pagó $ 4,40 por 2 libras de manzanas y 4 libras de naranjas. A estas tarifas, ¿cuál es el costo, en dólares, de 3 libras de naranjas?
Answer:
Step-by-step explanation: 14.2
6. What type of triangle has all acute angles?
Answer:
Acute triangles or also called as acute-angled triangles
Answer:
equilateral triangle is always all acute nothing else
Juan dispone de $ 500.000 y tiene las siguientes alternativas para invertir su dinero durante un año, estas son: Depósito en el "Banco Nacional" a una tasa de interés de 6,25% anual, sin capitalización de intereses en el año. Depósito en el "Banco Independiente" a una tasa de interés de 6,1% Nominal Anual, con capitalizaciones de intereses mensual. Depósito en el "Banco Fast" a una tasa de interés de 5,06% Nominal Anual, con capitalización de intereses trimestral. Depósito en el "Banco RAT" a una tasa de interés de 6,5% Nominal Anual, con capitalización de intereses bimestral. Determina el interés generado en el "Banco Nacional". $31.000 $31.250 $312.500 $531.250
Answer:
I = $31,250
Step-by-step explanation:
Para resolver este problema debemos de hacer uso de la ecuación de interés compuesto (en este caso en particular, también se podría utilizar la ecuación de interés simple, ya que solo se está capitalizando el interés durante un período)
[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]
En donde:
FV = Valor futuro
PV = Valor presente
r = tasa de interés
n = número de períodos de capitalización de intereses por año
t = número de años.
En este caso queremos conocer el valor futuro y conocermos el resto de variables:
PV=$500,000
r=0.0625
n=1
t=1
por lo que la fórmula se verá de la siguiente manera al sustituir los valores:
[tex]FV=500,000(1+\frac{0.0625}{1})^{(1)(1)}[/tex]
Al resolver la función obtenemos un valor de:
FV=$531,250
Como lo que nos interesa es conocer el interés, entonces le restamos el valor presente al valor futuro y obtenemos:
I=FV-PV=$531,250-$500,000
I=$31,250
La cual es nuestra respuesta.
Rewrite 7/2+ 14/25 as a single decimal.
Answer:
4.06
Step-by-step explanation:
7/2+14/25 Change into decimals
3.5+0.56 Add together
=4.06
what does the amount of markup or markdown represent in a percent equation?
Answer:
sometimes is called the cost or wholesale price
The table represents a linear function.
What is the slope of the function?
х
-4
-2
-1
1
2
y
-2.
-10
-14
-22
-26
2
5
-6 is the slope of the given table which represents a linear function.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let the equation of line be represented as A
The values of x = { -2 , -1 , 0 , 1 , 2 }
The value of y = { 8 , 2 , -4 , -10 , -16 }
Let us take any two points to find the slope.
(-2, 8) and (-1, 2) are the two points
Slope = 2-8/-1+2
=-6/1
=-6
Hence, -6 is the slope of the given table which represents a linear function.
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The table represents a linear function
X
-2
-1
0
1
2
Y
8
2
-4
-10
-16
What is the slope of the function
-6
-4
4
6
Simplify the following problem.
| -48 – (-5) |
Answer:
the answer is -43 it is right
Answer:
-43
Step-by-step explanation:
How do you dilate a figure on the coordinate plane and determine its scale factor?
Answer:
All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.
Step-by-step explanation:
You started the trail with 1000lbs. of food.
You now have 1000lbs. of food.
What percentage of your starting
amount do you have left?
easy 1000lbs of food I guess I mean unless you are it
Answer:
100 percent
Step-by-step explanation:
The number did not change
What is the first step in solving the following system of equations?
3 x + y = 23.
8 x + 2 y = 23.
Answer:
Solve the first equation for y
Step-by-step explanation:
7/15 - 2/5
please can someone do a step by step? thank you
Answer:
1/15
Step-by-step explanation:
1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)
2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15
3.) Subtract the numerators to get your answers
4.) Final Answer: 1/15
Shawn is a member of a book club. He pays a $50 yearly membership fee and can purchase books through the club for $5 each. His total annual cost is a function of the number of books, b, that he purchases in a year:
C(b) = 5b + 50
What is the total cost if he purchase 17 books in a year?
Answer:
The annual total cost is $135 when he purchases 17 books
Step-by-step explanation:
Given function is:
C(b) = 5b + 50
Here c is the output which is cost and b is the input which is number of books purchased in an year.
In order to find the total cost when he purchases 17 books, we have to put 17 in place of b and find the cost.
So,
Putting b = 17
[tex]C(17) = 5(17) + 50\\= 85+50 = 135[/tex]
Hence,
The annual total cost is $135 when he purchases 17 books
After a 5% discount, a car is on sale for $11,400. What was the price of the car before the discount?
Answer:
10,830
Step-by-step explanation:
Given the following diagram where BLUE is a rectangle, find the measure in degrees of
Please help this is due tomorrow us the screen shot
Answer:
A1: 40/3 = 13.33
A2: 1/2 = 20 (half of 40) 40/20 = 2
John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to meet the deadline. Which compatible numbers provide a better estimate for the number of question he should write each week, 2,000 ÷ 50 or 2,000 ÷ 40? Why?
Answer: 2,000 ÷ 50
Step-by-step explanation:
From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.
The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.
Therefore, the answer is 2000 ÷ 50.
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answer:
Please check solution for answer
Step-by-step explanation:
The general equation of for the slope of a line is
y = mx + c
where m is slope and c is the y-intercept
a). Yes it is in the slope-intercept form
b) The slope would represent the amount of money in dollars per week that is in the wallet
c) The y-intercept would be 125 and it is the amount of money present in the wallet before today
d) The slope would have a unit of dollars per week
1. Suppose Alice eats 3 ounces of base 2 cake (doubles her height for each ounce eaten) at each meal. a) What will her height be multiplied by after two meals? b) After three meals? c) After four meals? d) After M meals?
Answer:
a)64
b)512
c)2^12
d)2^3m
Step-by-step explanation:
At every meal, 3 ounces of the cake is eaten
a) After 2 meals, the number of ounces consumed is 6 ounces
For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2
Her height is multiplied by 64
b) After three meals
Total consumption is 3 * 3 = 9 ounces
So her height will be multiplied by 2^9 = 512
c) After four meals
Total ounces is 4 * 3 = 12
So her height will be multiplied by 2^12
d) After M meals
Number of ounces is m * 3 = 3m ounces
Her height will be multiplied by 2^3m
What is the recursive formula for this geometric sequence? 6, -24, 96, -384, ...
Answer:
Option (C)
Step-by-step explanation:
Geometric sequence has been given as,
6, -24, 96. -384.......
First term of this sequence = 6
[tex]a_1=6[/tex]
Recursive formula of geometric sequence is given by,
[tex]a_n=a_{n-1}(r)[/tex]
Here r = common ratio of successive and previous term
From the given sequence,
r = [tex]\frac{a_2}{a_1}[/tex]
= [tex]\frac{-24}{6}[/tex]
= (-4)
Recursive formula of the given sequence will be,
[tex]a_n=a_{n-1}.(-4)[/tex]
Therefore, Option (C) will be the correct option.
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?
Answer:
The number of heating degree days is 16.5.
Step-by-step explanation:
First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:
[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)
[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]
[tex]T = 48.5\,^{\circ}F[/tex]
And the number of heating days is:
[tex]H = 65-48.5[/tex]
[tex]H = 16.5[/tex]
The number of heating degree days is 16.5.
What are some common color associations? Pick at least three colors, and list their corresponding associations.
Answer:
Red, Yellow, Blue
Step-by-step explanation:
They are the primary colors,
or you can use Violet, Green, And Orange
These are secondary colors
The price of a tv was reduced from $250 to $200. What percent did the price decrease?
2. Refer to matrix B and identify the matrix element b11
-3
6
1/2
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the matrix is not given.
The general form of a matrix is:
[tex]b[m*n] =\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}........b{1n}}\\b_{21}&b_{22}&b_{23}........b{2n}\\b_{31}&b_{32}&b_{33}........b{3n}\\ \\ \\b_{m1}&b_{m2}&b_{m3}........b{mn}\end{array}\right][/tex]
Where m and n represent the [tex]number\ of\ rows\ and\ columns[/tex] respectively.
Notice the position of b11
This means that b11 is at the first column and first row.
Take for instance matrix b is:
[tex]b = \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
The element at the first row and first column is 1.
Hence
[tex]b_{11} = 1[/tex]
PLEASE HELP WILLGIVE YOU 100 POINTS AND PUT AS BRAINLIEST!!!!!
FIND THE SLOPPEE INTERCEPT FORMMM!! pLeAse HElPP ;'')
Answer:
10x+9
Step-by-step explanation:
Answer:
y=1/2x+35
Step-by-step explanation:
Find two points: 0,35 and 40,65.
65-35 is 20/40 or 1/2
y=1/2x+b
plug in 0,35
35=b
y=1/2x+35.
Hope this helps!
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Jacob started a savings account with a 1% annual simple interest rate. His principal deposit was $147. He saved the money for 6 years. How much interest did he earn after 6 years?
Answer:
The interest Jacob earns after 6 years is $8.82
Step-by-step explanation:
The given parameters are;
The simple interest rate of the savings account, R = 1%
The principal deposit to the savings account, P = $147
The time duration Jacob saved the money, T = 6 years
The formula for simple interest, I, is given as follows;
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Substituting the known values gives;
[tex]I = \dfrac{147 \times 1 \times 6}{100} = 8.82[/tex]
The interest Jacob earns after 6 years = $8.82.