Solution :
It is given that :
The car of Mike's can hold = [tex]$14 \frac{2}{5}$[/tex] g of gas.
[tex]$=\frac{72}{5}$[/tex] g of gas
∴ [tex]$=\frac{1}{4} $[/tex] th of [tex]$\frac{72}{5}$[/tex] g of gas is [tex]$=\frac{1}{4} \times \frac{72}{5}$[/tex]
[tex]$=\frac{18}{5}$[/tex] g of gas
The average distance that the car can travel when the tank is full is = 20 mpg
∴ In [tex]$\frac{72}{5}$[/tex] g of gas, the car travels = 20 mpg
In 1 g of gas, the car travels = [tex]$20 \times \frac{5}{72} $[/tex] mpg
So in [tex]$\frac{18}{5}$[/tex] g of gas, the car travels = [tex]$20 \times \frac{5}{72} \times \frac{18}{5} $[/tex] mpg
= 5 mpg
Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12
OX= -6 or x = 1
OX=-3 or x = -2
x= -1 or x = 6
Ox=2 or x=3
Answer:
x = -6 and x = 1
Step-by-step explanation:
Given the equation (x + 2) (x + 3) = 12
Equate to zero;
(x + 2) (x + 3) - 12 = 0
Expand
x^2+3x+2x+6-12 = 0
x^2+5x - 6 = 0
Factorize
x^2 + 6x - x - 6 = 0
x(x+6)-1(x+6) = 0
(x+6)(x-1) = 0
x+6 = 0 and x -1 = 0
x = -6 and x = 1
Hence the zeros are x = -6 and x = 1
Answer:
It's A: -6 or 1
Step-by-step explanation:
Edg 2022
there are 16 appetizers available at a restaurant. From these, janet is to chose 13 for her party. How many groups of 13 appetizers are possible
Answer:
560
Step-by-step explanation:
The best way to do this is to write it out, but with large ones like this you should use the equation:
C(n,r) = n!/(r!(n-r)!),
where:
C(n,r) is the number of combinations;
n is the total number of elements in the set; and
r is the number of elements you choose from this set.
What is the length of a base of a right triangle with an area of 15 meters and a height of 3 meters?
Question 1 options:
5 meters
12 meters
10 meters
Answer:
10
Step-by-step explanation:
15 = 1/2 * b * 3
15 * 2 = 3 * b
b = 30/3
b = 10 m
What is the slope and y intercept?
Answer:
slope: 1/2 Y Intercept: 25 (I'm just guessing by the coordinates (60,25)Step-by-step explanation:
Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)
For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)
so I inferred that the y intercept is 25
Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8 quarts of lemonade. They decide to sell one cup of lemonade for $0.75. If they sell all 8 quarts, how much revenue will they make and will they make enough to earn $12 each? (4c=1q)
Answer:
Altogether they made $24 which is enough to earn $12 each
Step-by-step explanation:
Important information:
1 cup: $0.75
4 cups = 1 quart
8 quarts of lemonade altogether
If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart
Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply
0.75 × 4 = 3
They make $3 per 1 quart
We are looking for the amount for 8 quarts though, not just 1. Again we must multiply
3 × 8 = 24
They will make $24 if they sell all 8 quarts
The questions ask if they will each earn $12
Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people
24 ÷ 2 = 12
$12
Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?
Answer:
Espero que isto ajude!
Step-by-step explanation:
q duplica logo a razão q =2
1 hora = 60 minutos
4 hs * 60 min = 240 minutos ou 240 : 6 = 40 vezes 6 minutos
Nota > 240 minutos tem 40 * 6 minutos
n = 40
a1 = 6 min = 3
a2 = 12 min = 3 * 2 = 6
q3 = 18 min = 6 *2 =12
an = a1 * q^n-1
a40 = 3 * 2^40-1
a40 = 3 * 2^39
a40 = 3 * 5497559 =16492677 >>>>>
What is the equation of the line that passes through the point (8,1) and has a slope
Answer:
Answer:
x=1y
Step-by-step explanation:
Please help with this, it’s Khan Academy A.K.A annoying
B makes sense.
On the first play, they gained 6 yards.
On the 2nd play, they lost 8 yards, which can be shown as + (-8)
On the 3rd play, they lost two yards, which can be shown as + (-2)
If you input it in a calculator, you'd find that the answer is a negative, which makes sense considering that they lost more yards than they gained.
4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3
Answer: a a a a. Aa
E s. Ss s
Step-by-step explanation:
s. S s s s. S s s s s
are these questions correct ?
Answer:
not all of em
Step-by-step explanation:
some are
NEEd HELp ASAP AlGEBRA 1
Answer:
Step-by-step explanation:
The hospital is putting in a wheelchair ramp at one of its entrances. Only 6 feet of sidewalk can be covered by the ramp, and the ramp needs to reach 0.5 feet up the wall to reach the entrance. How long does the ramp need to be?
Answer:
3
Step-by-step explanation:
just the 11b. due in 12 hrs. Need this very soon. :) thx
Answer:
28 litres of mango juice will be required
Step-by-step explanation:
11). b. Internal dimensions of the rectangular prism are,
Length = 40 cm
Width = 20 cm
Height = 35 cm
Volume of the rectangular prism = Length × Width × Height
= 40 × 20 × 35
= 28000 cm³
Since, 1 cm³ = 1 mL
Therefore, 28000 cm³ = 28000 mL
Since, 1000 mL = 1 L
28000 mL = 28 L
Therefore, to fill this jar 28 L of orange juice will be required.
You purchase five municipal bonds on the first of the year. The current market value price is [tex]101\frac{1}{4}[/tex]. The commission charge is $8 per bond. What is the cost of purchasing these bonds?
a.$5546.25
b.$5102.50
c.$5062.50
d.$546.25
Answer:
B $5102.50
Step-by-step explanation:
answer on edge :)
Answer:
its b.
Step-by-step explanation:
You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4.75 kilometers long. He ask you to move the finish line forward 0.25 kilometers. Your tape measure is measured in feet and inches. What is the distance he asked you to move in line in the nearest foot?
Answer:
820 feet
Step-by-step explanation:
We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...
1 km == 3280.84 ft
0.25 == x
(0.25 * 3280.84) / 1 = 820.21
Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the simplest form of the radical expression?
(in attachment)
You select a marble at random and then put it back. If you do this eight times, what is the best prediction possible for the number of times you will pick a red marble?
Answer:
1/8
Step-by-step explanation:
PLZ HELP ME & ANSWER CORRECTLY!!!!! NEED ANSWER ASAP!!!!!
Mica and Joy are standing at corner A of the rectangular field shown below.
Mica walks diagonally across the field, from A to corner C. Joy walks from corner A to corner B, and then to corner C. To the nearest hundredth of a mile, how much farther did Joy walk the Mica?
Answer:
0.54 miles more
Step-by-step explanation:
1. Find the Diagonal. d=w2+l2=1.252+0.752≈1.45774
2. 3/4+1 and 1/4=2 miles
3. 2 miles-1.46 estimate.
4. Solution...0.54
PPPPPPPPPPPPPPPPPPPPPPPPPPPPplwlwlwlwlwlwlwlEEEEEEEEEEEEEEEEASE
A rectangular paddock has perimeter 100 m. Find the width of the paddock if its length is 30 m.
Answer:
Step-by-step explanation:
W= L x 2/P
= 30 x 2/ 100
= 60 /100 = 0.6
Which of the following is equivalent to 3^-8 × 3^4
3^-4
3^-2
3^-12
3^-32
i’m so confused by this does anyone have this figured out
Answer:
you have to find the angels
Step-by-step explanation:
A gymnast scores a total of 125 points in the first 4 meets of the season. At this rate, how many points will she score by the end of 14 meets
Answer:
i dont know but will u date me
Step-by-step explanation:
At a carnival, the cost to play a bowling game is $2, plus $0.40 for each attempt to knock over the pins. Which inequality would you use to find the number of attempts you can make if you have less than $4.30
Answer:
a
Step-by-step explanation:
13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.
Answer:
ghcfgnxfgxgfmvjbnjghjbnmxfhcgxfgcxgchmvjm
Step-by-step explanation:
good day
this is a yes or no question... if a box has equal and opposite forces acting on it, will the box be accelerate??
Answer:
no
............................
Joe has 1/2 of a cake he would like to split among 3 people. What part of the cake would each person get?
Answer:
1/6
Step-by-step explanation:
Given data
Joe has 1/2 of a cake
he would like to split among 3 people
n= 3
Hence each person will take
=1/2/3
=1/2*1/3
= 1/6 part of the cake
A bakery sold a total of 500 cupcakes in a day, and 390 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
Your answer
78% are vanilla
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
I need some help please
Answer:
10x - 5
Step-by-step explanation:
Perimeter is found by adding up all the side lengths.
(2x-4) + (5x+6) + (3x-7) = 10x - 5
Find the value of 0.7x0.08
Answer:
0.056
Step-by-step explanation:
For decimals, you just multiply, and the hundredths would stay, so the answer is 0.056, because 8 x 7 = 56!
Answer:
0.056
Step-by-step explanation:
7*8 is 56 right
looking at 0.7 how many numbers are before that dot
1 right which is seven
then 0.08 has how many digits before the dot thing
2 right which is 0 and 8
in total making three
then in 56 move three times forward from behind
1 5.6
2 0.56
3 0.056
and thats how we got this
dont confuse this technique with numbers like 0.80
the zero at the end of that number is not needed
that is to say that
0.80 = 0.8
when theres a zero at the back of a decimal its not counted
e.g
0.50= 0.5
0.4000000= 0.4
hope this helped