Answer:
The length is 120 yards
Step-by-step explanation:
Here, we want to find the length of the longest side
The longest side ratio is 15
Add up all the ratio,
We have 1 + 15 + 3 = 19
So the length will be;
15/19 * 152
= 120 yards
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.
5. The Smith family paid $146.50 for dinner. If they tipped 20%. How much
did they spend total including the tip?
Answer:
$175.80
Step-by-step explanation:
Answer:
175.80$
Step-by-step explanation:
In order to find the answer to this question you must first find 20% of the cost for the dinner, then add that answer to the cost of the dinner to receive your answer.
[tex]146.50[/tex]
[tex]20 =146.50[/tex]
[tex]Y=P\times X[/tex]
[tex]20\times146.50[/tex]
[tex]20\div100=0.2[/tex]
[tex]0.2\times146.50[/tex]
[tex]0.2\times146.50=29.3[/tex]
[tex]=29.3[/tex]
Now add:
[tex]146.50+29.3=175.80[/tex]
[tex]=175.80[/tex]
Hope this helps.
It rains 24 out of 30 days in a month.
At the same rate, about how many
days would you expect it to
rain in 180 days?
Answer:
144
Step-by-step explanation:
24
______
30 x6= 180
24x6= 144
simplify 6 + 15 x 72=
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
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
(Help needed ASAP I’m confused ) Solve the equation by using the distributive property first
Answer:
x=0
Step-by-step explanation:
simplify: 15(x-3) over 15 ( srry i dont know how to make that a fraction.)
3(2x-3)= 3x-9
3x-9=6x-9
move all terms containing x to the left side of the equation
-3x-9=-9
move all terms not containing x to the right side of the equation
-3x=0
divide both sides by -3 and simplify if needed
x=0
( hope this helped.)
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.
Beth is putting up a fence in her yard so her dog can play outside. She purchased 80 feet of fencing. If the fenced area is a rectangle with a width of 30 feet, what is the length of the fenced area?
Answer:
10 feet
Step-by-step explanation:
The formula for the Perimeter fo a rectangle
= P = 2L + 2W
Where:
L = Length
W = Width
From the question
P = 80 feet
W = 30 feet
Hence:
80 = 2L + 2(30)
80 - 2(30) = 2L
80 - 60 = 2L
20 = 2L
L = 20/2
L = 10 feet
Hence, the length of the fenced area = 10 feet
Can someone please quickly help me out.
Answer:
b=6 1/4
Step-by-step explanation:
just trust me!!
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.
Given the following diagram where BLUE is a rectangle, find the measure in degrees of
A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.
The slope is .
Answer:
no pic no answer
Step-by-step explanation:
A 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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22 is 44% of what number? Will mark brainliest! <3
Answer:
44% of 50 is 22.
This is the case because 50 * 0.44 is 22.
Let me know if you have any other questions :)
Answer:
50
Step-by-step explanation:
44% = 44/100
44/100 × X = 22
X = 22 × 100/44
X = 100/2
X= 50
hence, 44% of 50 is 22
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
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.
The price of a tv was reduced from $250 to $200. What percent did the price decrease?
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
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
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.
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!
#Team Rainbows
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:
At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat.
Answer:
Just getting the points so I can post that image for you
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
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:
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
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
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
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
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]