Answer:
The original speed of the grey wolf can be 9 and/or 48 km/hour
Step-by-step explanation:
There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).
First trip: KC - MAG
It takes the same distance as MAG - KC so distance can be D for both.
Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.
Let x be speed.
So the equation for this is:
D=5x
Second trip: MAG - KC
Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).
For Time:
He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.
The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.
Let T#1 = a, and T#2 = b.
Let D#2 = D-36
The equation for a:
a = 36/x --> This is he is at a constant speed and went for 36mi.
Next:
The equation for b:
b = (x+3)/D#2
These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.
So the equation is:
36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).
Now Solve:
36/x + (5x-36)/x+3 = 4.75
0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)
0.25s^2 - 14.25s + 108 = 0
(14.25 +- Square root (203.06 - 108))/0.5
(14.25 +- Square root (95.0625))/0.5
(14.25 +- 9.75)/0.5
Answer:
s = 9, s=48.
Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.
Natalie made blueberry muffins for a bake sale. Each muffin cost her about $0.25 to make. She spent $8.75 to make all of the muffins. Natalie sold each muffin for $0.50 more than it cost her to make.
What is the total amount of money that Natalie received from selling her muffins?
Answer:
$17.5
Step-by-step explanation:
Answer:
26.25
Step-by-step explanation:
I took the test
Travis has $1,500 in a savings account. He deposits $75. How much interest will he earn after 2 years at a simple annual interest rate of 1.3%?
(The links don’t work so please just give the answer)
Answer:
40.95
Step-by-step explanation:
P = 1500 + 75 = 1575
I = Prt
I = 1575(1.3%)(2)
I = 40.95
probablity question: A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answer: 12.5%
Step-by-step explanation:
i dunno for sure so probably use someone elses answer
Solve the following system of equations 7x - 3y = 11
Answer:
x= 11/7 + 3y/7
Step-by-step explanation:
Answer:
y=11 -7/3x
Step-by-step explanation:
subtract the 7
bring the seven to the other side
then divide by 3
Help I have no idea what the answers are
Answer:
Hi Bunni , :D
Step-by-step explanation:
a =2
b= -8
c = 9
axis of symmetry is
-(-8) / 2(2)
8 / 4
2
vertex = ( 2, 1)
:)
what is the value of (6.6 x 10^17) - (9.2 x 10^14) over 4 10^16
Answer: 8.7
Step-by-step explanation:
Make x the subject
x = 360.18/ 41.4
x= 8.7
Answer:
16.477
Step-by-step explanation:
((6.6×10^17)−(9.2×10^14))/(4×10^16)
(6600x10^14 - 9.2x10^14)/(4x10^16)
(6590.8x10^14)/(4x10^16)
1647.7x10^-2
16.477
Point A(4,5) is translated to the left 3 and up 5. What is A'?
Answer:
(7,10)
Step-by-step explanation:
x=4+3
y=5+5
MATH PLEASE HELP!! HELP BADLY NEEDED....
The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 35% pure fruit juice?
Answer: I- 81 pints, II-9 pints
Step-by-step explanation:
Given
The first type of juice has 30% pure Juice
The second type of juice has 80% pure Juice
The final mixture has 95 pints of 35% pure juice
Suppose we take x pints from the first Juice
So, the second Juice contributes 90-x
for 35% content
[tex]\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}[/tex]
First contributes 81 pints. second contributes 9 pints
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OWA OWA??
OWA OWA??
OWA OWA?a car can travel 174 miles in 4 hours how many miles can the car travel per hour
Answer:
43.5
divide 174 ÷ 4 and you get 43.5
what is the ratio of the length of red string to blue string written as a unit rate
Answer:2 to 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Martin is considering the expression 1/2(7x+48)and -(1/2x-3)+4(x+5)
Step-by-step explanation:
1/2(7x+48) = 7x ÷2 +48÷2 = 7x÷2 + 24
and
-(1/2x-3)+4(x+5) = 7x ÷2 + 46÷2 = 7x÷2 +23
sales tax: 68% shirts: $35 pants: $27 shoes: $44 what is the total cost
pls help and show work i am screwed if i don’t do well on this
Answer:
x = - 2
Step-by-step explanation:
The axis of symmetry passes through the vertex, is a vertical line with equation equal to the x- coordinate of the vertex, that is
equation of axis of symmetry is x = 1
The zeros are equidistant from the axis of symmetry, on either side
x = 4 is a zero and is 3 units to the right of x = 1, so
3 units to the left of x = 1 is 1 - 3 = - 2
The other zero is therefore x = - 2
A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?
Answer:
1/12 a cup
Step-by-step explanation:
1/3*1/4=1/12
Answer:
1/12
Step-by-step explanation:
1/3*1/4=1/12
number 8 please help me
Answer:
15.9??
Step-by-step explanation:
what does this equal??
Answer:
I think 3
Step-by-step explanation:
10!!! POINTS AND BRAINLIEST!!!
Answer:
[tex]\boxed {\boxed {\sf 53}}[/tex]
Step-by-step explanation:
This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.
Stem# Leaf#The first stem is 0, with a leaf of 4. Therefore,
04 = 4The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.
57The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.
Range= largest-smallest Range= 57-4=53The range is 53.
At an electronics store, DVDs are on sale. Some DVDs cost $15.00 each and some cost $12.00 each. Bart purchased 8 DVDs and spent a total
of $105.00. Write a system of equations and solve by using substitution to determine how many $12.00 DVDs Bart purchased.
$105
15*3=45
12*5=60
60+45=105
(12*5)+(15*3)=105
Can i get brainliest
The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
At a hardware store, DVDs are at a bargain. A few DVDs cost $15.00 each and some expenses $12.00 each. Bart bought 8 DVDs and spent a sum of $105.00.
Let 'x' be the number of $15 DVDs and 'y' be the number of $12 DVDs. Then the equations are given as,
x + y = 8 ...1
15x + 12y = 105 ...2
From equations 1 and 2, then we have
15x + 12(8 - x) = 105
15x + 96 - 12x = 105
3x = 9
x = 3
Then the value of y is given as,
y = 8 - 3
y = 5
The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
a museum gift shop sold 215 sets of dinosaurs. there were 9 dinosaurs in each set how many dinosaurs did they sell?
simplify nine to the power of -53×9 to the power of 37
Answer:
Is this for your homework
Step-by-step explanation:
Find the area of the shaded sector below.
Answer:
9.07571212
Step-by-step explanation:
To solve this we first need to find the area of the circle, r squared times pi
4 x 4 x pi = 50.2654825
Now we multiply this by 65/360, 50.2654825 x 65/360 = 9.07571212
The shaded sector covers 9.07571212 square inches.
(っ◔◡◔)っ ♥ Hope It Helps & Please Consider Giving Brainliest♥
Mrs. Hinojosa had 75 feet of ribbon. If each of the 18 students in her
class gets an equal length of ribbon, how long will each piece be?
Write your answer
2. Using a whole number of feet and a whole number of inches
AHH HELP ME PLS
Choose the values of x that are solutions to the inequality 5 <,
Select all that apply
Ax=2
= 6
E *=-7
F1 = 10
Answer:
x = 5
x = 6
x = 10
Step-by-step explanation:
NOTE: IT HAS TO BE MORE THAN 5 OR EQUAL TO 5
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
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I’ll give brainless too who ever respond fast and correctly.
Bakery makes cupcakes and three different flavors chocolate, vanilla, and strawberry, with two choices of topics, butterscotch or pumpkin in two different sizes small or large how many different outcomes are there?
Answer:
24 or 12
Step-by-step explanation:
Multiplication
WILL GIVE BRAINLIST!!!
MAD (Mean absolute deviation) is always a negative number
True or False
4x^2+2x-1=0 in quaratic equations
Answer:
Step-by-step explanation:
"quaratic" should be "quadratic."
The coefficients of this quadratic are 4, 2 and -1. Thus, the discriminant is
b^2 - 4ac, or here, 4 - 4(4)(-1) = 20
Since the discriminant is positive, our quadratic has two real, different roots.
-2 ± (√4)(√5)
The roots are: x = ---------------------
2(4)
-1 ± √5
This reduces to x = ---------------
8
here are 24 people in a fitness studio. 3/8 of the people are lifting weights, 1/3 are cross training, and the remaining people are running. What fraction of the people are running?
Answer:
7/24 i think i hope this helps and im right