Answer:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation:
Answer:
Natural numbers are simply positive integers. For now, refer to the middle number (the third number), as x. Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2. Simply add all these numbers to get 5x, a number that is divisible by 5. As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.
Hope it helps :) and let me know if you want me to elaborate.
Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?
Step-by-step explanation:
Given:
Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 yearsFind amount of interest in both investments:
I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00As we see the online savings account earns more interest and the difference is:
$561.00 - $348.65 = $212.35 ≈ $212Which of the following expressions has the greatest value?
Answer:
[tex](0.1)^2[/tex]
Step-by-step explanation:
The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.
Hey there!
Option A.
0.01^4
= 0.01 * 0.01 * 0.01 * 0.01
= 0.0001 * 0.0001
= 0
Option B.
0.1^4
= 0.1 * 0.1 * 0.1 * 0.1
= 0.01 * 0.01
= 0.0001
Option C.
0.01^3
= 0.01 * 0.01 * 0.01
= 0.001 * 0.01
= 0.00001
Option D.
0.1^2
= 0.1 * 0.1
= 0.01
“ 0.01 > 0.0001 > 0.00001 > 0”
Therefore, your answer should be: 0.1^2 (option D)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answer:
5 cups of flour need to make two cakes
can someone please help me! :)
The dimensions of a right triangle are shown in the diagram.
What is the length of the missing side, to the nearest tenth of a centimeter?
Answer:
18.4 cm
Step-by-step explanation:
For this problem, you would use Pythagorean Theorem or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. Picture the 90 degree angle as an arrow pointing to the hypotenuse. In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o
어
IN IN NII am |
0
0 0
Answer:
B. One whole number one over two. 1½
The sum of two numbers is 88. The larger number is 16 more than the smaller number. What is the smaller number?
Answer: please mark me brainliest
28
Step-by-step explanation:
you half 88 you get to 44 and then you add 16 that is 60. 88 subtract 60 is 28
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
Please solve these.
You will get all of my points if you get all of them correct
Answer:
Step-by-step explanation:
1) Area of triangle= 1/2 x b x h
b = 7.6cm h= 3.4cm
Area= 1/2 x 7.6 x3.4 = 12.92cm²
2)Divide the shape into a triangle and a rectangle
Area of rectangle : l x b
L= 20cm, b= 7cm
= 20 x 7 = 140 cm²
Area of triangle =1/2 x b xh
B = 20cm, h= 16 - 7 = 9cm
1/2 x 20x 9= 90cm²
Total area = 140 + 90 = 230cm²
3) area of triangle = 1/2 x b x h
B = 12cm, h= 5cm
= 1/2 x 12 x 5 = 30cm²
4) area of triangle = 1/2 x b x h
B = 15cm, h= 8cm
= 1/2 x 15 x 8 = 60cm²
5) divide the shape into two rectangles; the lower and the upper
Area of rectangle= l x b
Upper rectangle, l= 10cm, b= 27 - 9 = 18cm
Area= 10 x 18= 180cm²
Lower rectangle, l= 24cm, b= 9cm
Area = 24 x 9= 216cm²
180 + 216 = 396cm²
What is the stimated difference of 31,523 - 23,589
Answer:
8000 (Estimated) and the real difference would be 7934
Step-by-step explanation:
An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation
Solve the equations.
[tex]\sqrt{x^{2} } =14[/tex]
[tex]\sqrt{x^{2} } =17[/tex]
[tex]\sqrt{y^{2} } =5[/tex]
Answer:
[tex]x=\pm14\\x=\pm17\\y=\pm5[/tex]
Step-by-step explanation:
Generally, equations in the form [tex]\sqrt{x^2}=c[/tex] where [tex]c[/tex] is some constant, would have [tex]x=\pm c[/tex] as its solution.
This is because the square of a number is always positive regardless of the sign of [tex]x[/tex].
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answer:
first one my sister tried itStep-by-step explanation:
Pls answer the questions, I would really appreciate it, thx, :)
Answer:
7V
The average amount of minutes exercised on each day
Step-by-step explanation:
We are given that every day "V" amount of vegetables are eaten everyday.
If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V
E = ( M + W + F ) / 3
M = # of minutes exercised on Monday
W = # of minutes exercised on Wednesday
F = # of minutes exercised on Friday.
Note that to find the average of something you find the sum of the values and divide that by the number of values.
The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.
Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?
graph the line y=3(x+3)+4
Answer:
Check out the image below the explanation.
Step-by-step explanation:
1. First, let's simplify the equation.
[tex]y = 3(x) + 3(3) + 4[/tex] [tex]y = 3x + 9 + 4[/tex] [tex]y = 3x + 13[/tex]2. Since the equation is y = 3x + 13:
The y-intercept is 13.For every 1 unit we go to the right, we go 3 units up.Now, here's the graph!
Rewrite the equation below so that it does not have fractions.
3/4x-5=3/8
Do not use decimals in your answer.
Answer:
x=
6
43
Step-by-step explanation:
pasos
4
3
x−5=
8
3
Agrega 5 a ambos lados.
4
3
x=
8
3
+5
Convertir 5 a la fracción
8
40
.
4
3
x=
8
3
+
8
40
Como
8
3
y
8
40
tienen el mismo denominador, sume sus numeradores para sumarlos.
4
3
x=
8
3+40
Suma 3 y 40 para obtener 43.
4
3
x=
8
43
Multiplica los dos lados por
3
4
, el recíproco de
4
3
.
x=
8
43
×(
3
4
)
Multiplica
8
43
por
3
4
(para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).
x=
8×3
43×4
Realiza las multiplicaciones en la fracción
8×3
43×4
.
x=
24
172
Reduzca la fracción
24
172
a su mínima expresión extrayendo y anulando 4.
x=
6
43
HELP ASAP FOR BRAINLIST CROWN
Which function has the greater y-intercept? What is that value?
-10
4
10
3
16
Function A; 1.5
Function B; 30
Function B; 23
Function B; 3
8
2
Function A; 1
Function B; 1
Function A; 9
Answer:
function A;1
function B:30
Can some one help quickly. Please show work
Answer: the answer is 2
Step-by-step explanation:
how did you get m in the equation
Help pls I don’t understand this shi
Answer:
It's kind-of blurry, can you copy-paste the questions?
Step-by-step explanation:
If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.
Answer:
0,3,6, and 30
Step-by-step explanation:
Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd
Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
what type of triangle is ABC,give reasons
Answer:
ABC in the given figure is an equilateral triangle, its all sides are equal. AB = BC = CA. (i) A triangle in which all the three angles are acute is called an acute angled triangle
Elena sold ice cream at the fair. One day she sold one-third of the gallons of vanilla ice cream that she had, and then gave away 3 more gallons of vanilla ice cream. At the end of the day, she had one gallon of vanilla ice cream left. Write an equation to find how many gallons of vanilla ice cream Elena had at the beginning of the day.
Answer:
Nn seem xjjxjjxncjicucdjxklzkjcjfnfklcocjcnndjcicjcnmdjdjxjxjcjcjckckckkckcmcjdjcjceujesjkxmcmckkckckckckckckStep-by-step explanation:
Fand the most part in 2? the best. I think you are awesome. edit! edit on your post? edit! I cut off a bit of payer
Rachel has a $23,000 six year loan with APR of 7.25%
Answer:6,000 is the answer
Step-by-step explanation:
What is the best estimate for the volume of a jug of milk?
Answer:
3.785 litres
Step-by-step explanation:
The 5th term of an arithmetic sequence is 30, while the 13th term is 70
Answer:
a = 10
d = 5
Step-by-step explanation:
[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]
a + 4d = 30 ------------------(I)
[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]
a + 12d =70 -------------(II)
Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d
(I) a + 4d = 30
(II)*(-1) -a - 12d = -70 {Now add}
- 8d = - 40
Divide both sides by (-8)
d = -40/-8
d = 5
Plugin d = 5 in equation (I)
a + 4*5 = 30
a + 20 = 30
a = 30 - 20
a = 10
2.9. What is the equation of a line parallel to 3x + 4 = y and passing through
(4,-2)?
A. 3x + 10 = y
B. 3x – 14 = y
C. -*-=y
D. --*x+10=y
Hello! (:
3x+4=y
We want to convert it into slope-intercept form:
y=mx+b
Our equation looks like this:
y=3x+4
Now, parallel lines have the same slope. So if one line has a slope of 3, the line parallel to it has a slope of 3 as well.
Now, we have the slope and a point, so we write the equation in point-slope form:
y-y1=m(x-x1)
y-(-2)=3(x-4)
y+2=3x-12
y=3x-12-2
y=3x-14
Hence, that is the required equation, Hope it helps you!
If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower (:[/tex]
omg please help idek
