The model [tex]x = \frac{6}{3}[/tex], can be used to solve the world problem representing a scenario where John wants to share 6 apples amongst his three friends. x = 2, is the quotient which is interpreted as the number of apples each of John's friend will get.
Word problem describes real world situations which can be translated into expressions as a model.
For example, if John has 6 apples and John has three friends, how many apples would each of the friend get (x) if he is to share the 6 apples amongst the three of them?
To solve this, we can model the situation as follows:
Let x represent the number of apples each friend would get (quotient).
Thus:[tex]x = \frac{6}{3}\\\\\mathbf{x = 2}[/tex]
The quotient (x) in this model can be interpreted as the number of apples each of John's friend will get.Thus, the model [tex]x = \frac{6}{3}[/tex], can be used to solve the world problem representing a scenario where John wants to share 6 apples amongst his three friends. x = 2, is the quotient which is interpreted as the number of apples each of John's friend will get.
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The height of a tree is 8.2 meters.
What is the tree's height in centimeters?
Answer:
820 centimeter :3
Step-by-step explanation:
8.2 meters
move the decimal back twice because of KiloHecaDecaBase (m,l,g)DeciCentiMilli
As we know 1 meter is equal to 100 centimeters so the height of the tree 8.2 meters is equal to 820 meters
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.
A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.
Given, The height of a tree is 8.2 meters, now we know 1 meter is equal to 100cm so to convert some quantity from meters to centimeters we multiply by 100.
∴ 8.2 meters is equal to (8.2×100) = 820 centimeters.
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Express, 300 x (2 x 10^7)in proper scientific notation.
Sam practiced his long jump in P. E. On his first attempt, he jumped 1 meter 47 centimeters. On his second attempt, he jumped 98 centimeters. How much farther did Sam jump on his first attempt than his second?.
Answer:
51
Step-by-step explanation:
98-47= 51
im bo.red so there ya go
Solve the math problem
Answer:
2) a. slope = 4/3
2) b. slope = -4
Step-by-step explanation:
The slope of the line that passes through points
[tex] (x_1, y_1) [/tex] and [tex] (x_2, y_2) [/tex]
is m, given by the slope formula below:
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
2) a. (30, 32) and (18, 16)
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
[tex] m = \dfrac{32 - 16}{30 - 18} [/tex]
[tex] m = \dfrac{16}{12} [/tex]
[tex] m = \dfrac{4}{3} [/tex]
2) b. (4, -26) and (10, -50)
[tex] m = \dfrac{y_1 - y_2}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-50 - (-26)}{10 - 4} [/tex]
[tex] m = \dfrac{-24}{6} [/tex]
[tex] m = -4 [/tex]
Can anyone fr help me with this?
Answer:
31/36 or as a decimal its 0.86
Find the value of y to the nearest tenth.
Step-by-step explanation:
the easiest approach seems to be the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the angles are always opposite of each other.
we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.
10/sin(90) = 10/1 = 10 = y/sin(37)
y = 10×sin(37) = 6.018150232 ≈ 6.0
What is the product?
(4y − 3)(2y2 + 3y − 5)
8y3 + 3y + 15
8y3 − 23y + 15
8y3 − 6y2 − 17y + 15
8y3 + 6y2 − 29y + 15
Answer:
the last one
Step-by-step explanation:
i forgot how to turn fractions into decimals pls help me
3/5 = 0.6 but how do u get 0.6
pls show the work
Answer:
A fraction is essentially division, so 3/5 is the same as 3 ÷ 5
3÷5 = 0.6
[tex]5\sqrt{3\\[/tex]
(imagine the square root is the divsion thing)
5 cannot go into 3 so the answer is a decimal
then add a zero at the end of 3 to make 30
0.
[tex]5\sqrt{30[/tex]
and 5 can go into 30, 6 times so you add a 6 to make 0.6
0.6
[tex]5\sqrt{30[/tex]
ILLA
2. Miles makes $14 per hour but has to pay $55 for his cell
phone bill.
miles had to work 4 hours to pay his phone bills and he had 1$ left over
Answer:
i dont know
Step-by-step explanation:
what question are you asking?
PLEASE HELP GIVING BRAINLIEST MUCH APPRECIATED
Answer:
The remaining area of the circle is 196.06 cm².
Step-by-step explanation:
(area of circle) - (area of triangle) = remaining area of the circle
πr² - ½bh
3.14(8)² - ½(3)(4)
3.14(64) - ½(12)
202.06 - 6
= 196.06
Answer:
195.06 cm²
Step-by-step explanation:
First let's find the area of the circle
[tex]\pi r^{2}[/tex]
[tex]\pi *8*8[/tex]
[tex]64\pi[/tex]
= 201.06 cm²
Now let's find the area of the triangle
[tex]\frac{1}{2} *base*height[/tex]
[tex]\frac{1}{2} *3*4[/tex]
= 6 cm²
Now let's find the area of the shaded region
[tex]201.06-6=195.06\: cm^{2}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
On average, 9.8 x 105 drivers visit
Lakeview Gas Station each month.
Each driver purchases about 15
gallons of gas. Approximately how
many gallons of gas does Lakeview
Gas Station sell per month?
Answer:
15435
Step-by-step explanation:
9.8*105*15=15435
Una chica tiene 15 años y su padre 45. Hallar la razón entre la edad de la hija y la edad del padre
Which of the following best represents the average rate at which infants gain weight for the first six months after birth?
Step-by-step explanation:
Infants may gain 5 to 7 ounces (140 to 200 grams) of weight a week and grow 1/2 to 1 inch (1.5 to 2.5 centimeters) per month from birth to 6 months. A baby's birth weight will double by the time they turn five months old.
3x^3 -5x^2 -x+3 when x=4 help I'm stuck on this
The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110
The given equation is:
[tex]3x^3-5x^2-x+3[/tex]
To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]
When x = 4:
[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]
Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110
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Write the following equation in the general form Ax + By + C = 0.
1/2 y - 1/3x - 1 = 0
-2x + 3y - 6 = 0
2x - 3y - 6 = 0
2x - 3y + 6 = 0
Which of the following is a solution to the inequality below?19 ≥ 5k + 6
Answer:
k ≥ 13/5 or k ≥ 2.6 ( same thing )
Step-by-step explanation:
symbol stays the same throughout (≥)
subtract 6 from both sides of the symbol ( 13 ≥ 5k)
divide both sides by 5 (13/5 ≥ k )
your answer can be written as k ≥ 13/5 or k ≥ 2.6
2x10^-5 i need help please
Answer:
1/50000
Step-by-step explanation:
Sorry if this wasn't helpful! this was the only logical answer i had!
Please help meeeeeeeeeeeeee
Answer:
-47
Step-by-step explanation:
First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.
What is the value of X?
Answer:
45 i think
if not 54
I'm pretty sure it's 45
hope this helped :)
1. Fill in the blanks with <,> or =
(a) 7/-13 □ -8/15
(b) 5/8 □ -9/14
(c) -11/16 □ 13/-16
(d) -9/-13 □ 36/52
Step-by-step explanation:
(a)→ Given numbers are 7/-13 and -8/15
LCM of 13 and 15 = 195
7/-13
= -7/13
= (-7/13)×(15/15)
= (-7×15)/(13×15)
= -105/195
and
-8/15
= (-8/15)×(13/13)
= (-8×13)/(15×13)
⇛ -104/195
So,
-105/195 < -104/195
-7/13 < -8/15
(b)→ Given numbers are 5/8 and -9/14
We know that
Negative numbers are always less than positive numbers
5/8 > -9/14
(c).→Given numbers are -11/16 and 13/-16 = -13/16
-11/16 >-13/16
(d)→Given numbers are -9/-13 = 9/13 and
36/52 = 9/13
Both are same
-9/-13 = 36/52
What is the limit of [tex]\sf f(x)=3x^3+2x^2[/tex] as [tex]\sf x[/tex] approaches [tex]\sf 5[/tex]?
[tex]\huge \bf༆ Answer ༄[/tex]
The Equivalent value is ~
[tex] \boxed{ \sf425}[/tex]Refer to attachment for solution ~
-2+2-3+32+958-545+555458
Answer:
The answer is 555900
Step-by-step explanation:
-2 + 2 - 3 + 32 + 958 - 545 + 555458 = 555900
Thus, The answer is 555900
-TheUnknownScientist 72
Answer:
555900
Step-by-step explanation:
-2+2=0=0-3+32+958-545+5554580-3=-3=-3+32+958-545+555458-3+32=29=29+958-545+55545829+958=987=987-545+555458=987-545+555458=442+555458442+555458=555900=555900What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Answer: use distributive property
Step-by-step explanation:
What is the y-intercept of the linear equation shown on the graph?
You can see it is going up 5 and right 10. The slope would be 5/10 (or 1/2).
Since we need to go left 100 units because the x-intercept is (100,0), we will need to repeat the down 5 left 10, 10 times.
-5*10/-10*10 = -50/-100. We will go down -50 times and left -100 which would hit the y-axis. The y-intercept would be -50.
f(x) or y = 1/2x - 50
Double check your work.
y = 1/2 (100) - 50
y = 50 - 50
y = 0 √
Find the least common denominator (LCD) of 3/8 and 1/2
Answer:
Answer:
LCD = 8
Equivalent Fractions with the LCD
3/8 = 3/8
1/2 = 4/8
Solution:
Rewriting input as fractions if necessary:
3/8, 1/2
For the denominators (8, 2) the least common multiple (LCM) is 8.
Therefore, the least common denominator (LCD) is 8.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
3/8 = 3/8 × 1/1 = 3/8
1/2 = 1/2 × 4/4 = 4/8
The least common denominator (LCD) is; 8.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
WE need Equivalent Fractions with the LCD;
Now Rewriting input as fractions if necessary:
3/8, 1/2
For the denominators (8, 2) the least common multiple (LCM) would be; 8.
Therefore, the least common denominator (LCD) is; 8.
To Calculate the original inputs as equivalent fractions with the LCD:
3/8 = 3/8 × 1/1 = 3/8
1/2 = 1/2 × 4/4 = 4/8
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PLEASE HELP ME PLEASE
Question 9
9) ** The sum of the digits of a certain two-digit number is 7. Reversingits agits decreases the
number by 63. Find the number.
The number is
Answer:
The required number is 70.
Step-by-step explanation:
let the no. be 10y + x where x is unit digit and y is ten's digit.
given , sum of the digit is 7
x + y = 7 ...(1)
also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.
given reversed digit decreases the number by 63 .
so, 10y + x - ( 10x + y ) = 63
9y -9x = 63
( dividing both side by 9 )
y - x = 7 ....(2)
adding 1 and 2 [ refer attachment ]
so the required original number is
10y + x = 10×7+0 = 70
Maricopa's Success scholarship fund receives a gift of $ 115000. The money is invested in stocks,
bonds, and CDs. CDs pay 4 % Interest, bonds pay 5.3 % interest, and stocks pay 6.2 % interest.
Maricopa Success Invests $ 15000 more in bonds than in CDs. If the annual income from the
Investments is $ 6220, how much was invested in each account?
Maricopa Success invested $
in stocks.
Maricopa Success invested $
in bonds.
Maricopa Success invested $
in CDs.
Answer:
$50,000 in stocks
$40,000 in bonds
$25,000 in CDs
Step-by-step explanation:
Let c represent the amount invested in CDs. Then the amount invested in bonds is (c+15000) and the amount invested in stocks is (115000 -c -(c+15000)) = (100000 -2c). The total interest earned is ...
0.04c +0.053(c +15000) +0.062(100,000 -2c) = 6220
-0.031c +795 +6200 = 6220
-0.031c = -775 . . . . . . . . . . . . . . . subtract the left-side constants
c = 25000 . . . . . . . . . . divide by the coefficient of c
c+15000 = 40000 . . . . bonds
100000 -2c = 50000 . . . . . stocks
Maricopa Success invested ...
$50,000 in stocks
$40,000 in bonds
$25,000 in CDs
Algebra 2 please help
Answer:
4th option
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² - 5x + 8 +2x² + x - 2 ← collect like terms
= 6x² - 4x + 6
The owner of a new restaurant is ordering tables and chairs. He wants to have only tables for 2 and tables for 4. The total number of people that can be seated in the restaurant is 120.
a. Find some possible combinations of 2-seat tables and 4-seat tables that will seat 120 customers.
Answer:
5 points for what
Step-by-step explanation:
HeY
