Answer:
91.6 km/h
Step-by-step explanation:
Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.
Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.
Since the car catches up with the van after it had moved a distance of 130 km, d = d' = 130 km.
So d = v(t + 0.583)
Substituting d = 130 km and v = 65 km/h, we have
130 km = 65 km/h(t + 0.583)
130 km = (65t + 37.895 )km
subtracting 37.895 from both sides, we have
130 km - 37.895 km = 65t
92.105 = 65t
dividing both sides by 65, we have
t = 92.105/65
= 1.417 h
≅ 1.42 h
Since d = d' = v't,
v' = d'/t
= 130 km/1.42 h
= 91.55 km/h
≅ 91.6 km/h
So, the average speed of the car is 91.6 km/h
You buy pounds of trail mix. The mix costs $ per pound. What is the total price for the trail mix?
Complete question :
You buy 3.9 pounds of trail mix. The mix costs $2.99 per pound. What is the total price for the trail mix?
Answer:
$11.661
Step-by-step explanation:
Given that :
Cost per pound of trail mix = $2.99
Pounds of trail mix purchased = 3.9 pounds
Total price of the trail mix :
(Cost per pound of trail mix * pounds of trail mix purchased)
($2.99 * 3.9 pounds)
= $11.661
Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?
Answer in the form y=mx+b please
Answer:
y = my + b
Step-by-step explanation:
According to my calculations. the equation best representing Z is the one above
Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people are going on the camping trip. Can zoey make enough 3/4 cup servings so that each person on the trip has on serving?
Answer:
No
Step-by-step explanation:
Given that:
Total number of cups of trail mix available for camping trip = [tex]6\frac{1}{2}[/tex]
Amount of one serving contains = [tex]\frac{3}{4}[/tex] cups
Number of people at the trip = 12
To find:
Whether each person will be able to get the servings?
Solution:
Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.
First of all, let us convert the mixed fraction into fractional number.
[tex]6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}[/tex]
Therefore, total number of servings available as per the given quantities:
[tex]\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8[/tex]
So, With this type of servings Zoey will be able to serve only 8 people.
Therefore, there is not enough servings.
Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana? StartFraction 1 Over 12 EndFraction of a pound StartFraction 1 Over 9 EndFraction of a pound One-fourth of a pound One-third of a pound
Answer:
[tex]Each\ Weight = \frac{1}{4}[/tex]lb
Step-by-step explanation:
Given
[tex]Weights = \frac{3}{4}lb[/tex]
[tex]Bananas = 3[/tex]
Required
Determine the weight of each
To do this, we simply divide the total weight by the number of bananas.
[tex]Each\ Weight = \frac{3}{4}/3[/tex]
Convert to multiplication
[tex]Each\ Weight = \frac{3}{4} * \frac{1}{3}[/tex]
[tex]Each\ Weight = \frac{1}{4}[/tex]
Hence, each banana weighs 1/4 of a pound
Ans C
Ste-by-ste-exp
its 1/4
Estimate the quotient.
802 = 43
Answer:
Step-by-step explanation:
if you need to estimate 802/43 i assume,
think of 80/4=20
Please help with this question (only b and c) please
Answer: they are equal
Step-by-step explanation:
Since they are on opposite sides you just have to measure one and you got the answer to question b
Answer:
they are eqaul
Step-by-step explanation:
The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below.
On a coordinate plane, a function is shown. The function starts from the bottom of quadrant 3 and goes up through the x-axis at (0, negative 0.25) and then through the y-axis at (0, 2). It then starts to curve down at (0.5, 4) until it reaches (1.75, negative 0.5). It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3.
How many roots of f(x) are rational numbers?
0
1
2
3
Answer:
3
Step-by-step explanation:
f(x) = 4x^3 – 13x^2 + 9x + 2
This looks complicated but all we need to find are the Roots
We are looking for when y=0
So given each part of the information, we can label how many times it happens
The function starts from the bottom of quadrant 3: Starts lower left
and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT
and then through the y-axis at (0, 2). : It's now on the 2nd quartile
It then starts to curve down at (0.5, 4): It's moving towards y=0
until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS
It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS
This polynomial function has 3 ROOTS
Answer: D. 3
Step-by-step explanation:
EDGE 2023
Please help me I forgot how to do it
Answer:
b
Step-by-step explanation:
what is the solution to 9+4n -79
Answer:
17.5
Step-by-step explanation:
You have to find n right?
9+4n-79 = 0
-> 4n = 70
-> n = 17.5
6.
X-4y=8
Find the slope.
a) -1/4
b) 1/4
C) -4
d) 4.
Answer:
B. 1/4
Step-by-step explanation:
In the diagram below of triangle ABC, DE is parallel to AC. IF AD = 20, DB = 10 and AC = 33, find DE.
Answer:
11
Step-by-step explanation:
It's proportions my son.
x / 33 = 10 / 30
It's 10/ 30 because the whole BA is 30 in total
Then cross multiply.
30x = 330
x = 11
work out the value of x
Answer:
x+3x+90=360(sum of complete turn)
4x=360-90
4x=270
x=270/4= 67.5
Step-by-step explanation:
Jamal and Samuel are saving for a camping trip. Jamal starts with $18 and saves $5 each week. Samuel starts with $10 and saves $7 each week. Use the drop-down menus to complete the rule for the amount of savings for each boy.
Answer:
4 weeks
$28
Step-by-step explanation:
Let
x = number of weeks
Jamal's savings = 18 + 5x
Samuel's savings = 10 + 7x
Equate both savings
Jamal's savings = Samuel's savings
18 + 5x = 10 + 7x
18 - 10 = 7x - 5x
8 = 2x
x = 8 / 2
= 4
x = 4 weeks
Check:
18 + 5x
18 + 5(2)
18 + 10
= $28
Each boy would have saved an equal amount of $28 at the end of the 4th week
Which of the followin statements are true about the equation 10x + 45x - 13 = 11(5x + 6) *
Step-by-step explanation:
The given expression is :
10x + 45x - 13 = 11(5x + 6)
We can simplify it as follows :
Opening parenthesis on RHS
10x + 45x - 13 = 55x + 66
Taking like terms together,
55x-55x = 13+66
0 = 13+66
The given expression has no solution, as the variable cancels out woh each other. It is a meaningless expression.
16. Peter was told by his teacher that he needed to measure the height of the building in which his
classroom was located. He backs away from the building and places a mirror on the ground
between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet
9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter
knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the
height of the building. How tall is the building in feet?
Answer:
IT'S 20 FEET JUST FOUND OUT
Step-by-step explanation:
Solve for x: 3x +4= 9.2 + 3
1
A 3
B
6
1
3
None of the above.
D
1) In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:7. If the bag contains 49 green sweets, how many red sweets are there?
Answer:
Red sweets = 21
Step-by-step explanation:
Let there are 3x red sweets and 7x green sweets.
Total no of 49 green sweets.
ATQ,
7x = 49
x = 7
Red sweets = 3x
= 3(7)
= 21
Hence, there are 21 red sweets.
Okay I have a lot of points so here you goooooo
Answer:
thanks for free points
Step-by-step explanation:
please follow me
10/3 = x divided by -5/2
x =?
Answer:
-0.3x
Step-by-step explanation:
if you divide all of the number up you will get -0.3x
Answer:
Not possible
Step-by-step explanation:
The reason why its not possible is because to figure out a x type of problem, there needs to be a answer to it.
Lets try it solve it to make better sense.
10/3 = 3.33333333333
-5/2 = -2.5.
Divide.
= -1.33333333333.
If this is possible, the answer is -1.33333333333.
Fraction = -4/3.
-x+4=x+6
Show full work
Answer:
x=-1
Step-by-step explanation:
Step 1: Subtract x from both sides.
−x+4−x=x+6−x
−2x+4=6
Step 2: Subtract 4 from both sides.
−2x+4−4=6−4
−2x=2
Step 3: Divide both sides by -2.
−2x/−2= 2/−2
x=−1
Hope this helped :)
I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters
Answer:
2×10¹⁰ m²Step-by-step explanation:
Dimensions of rectangle:
5×10⁵ m and 4×10⁴ mThe area is the product of the two dimensions:
5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²help pls im stuck thank u guys
Answer:
The answer is 36.
Step-by-step explanation:
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First, divide 108 by 12.
The result is 9.
Now square root 9.
The result is 3.
Now, multiply 12 by 3.
The result is 36.
To check that this is the pattern, we multiply 36 by 3, and we indeed see that 3 times 36 is equal to 108.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
ILL GIVE BRAINLEST
What is the independent variable (x) for this situation?
number of cases of paper
not enough information to determine independent quantity
cases of paper per tree
number of trees used
trees used per case of paper
Answer:
The independent variable would be
trees used per case of paper
Step-by-step explanation:
Answer:
Number of trees used
Step-by-step explanation:
The number of trees used is the independent variable because it doesn't depend on anything, meaning it isn't changed by other variables. The number of cases of paper would be the dependent variable because it depends on the number of trees used.
Explain two different ways to find a new value after an original value is increased by 30%.
Please help me.
Answer:1
Step-by-step explanation:
9x+1/2y51
7x+1/3y=39
Lina spent 1/3 of her money. She now has $20 left. How much money did she have originally
Answer:
60
Step-by-step explanation:
1/3 of 60 is 20
in other words
20 x 3 = 60
What is the slope of the line? *
Answer:
- 1.5
Step-by-step explanation:
I suggest to make a table
x y
-2 3
2 -3
from 3 to -3, you subtract 6
from -2 to 2, you add 4
so y/x
-6/4 = -1.5
Slope is -1.5
Hope this helped!
Solve for x and y
60°
у
Х
30°
73
Answer:
x=7
y=14
Step-by-step explanation:
this is a special 30-60-90 right triangle bc there is a right angle marker and a 60 degree and 30 degree angle
in 30-60-90 right triangles the short leg is x, the long leg is x√3, and the hypotenuse is 2x
it is given that the long leg is 7√3, and since the long leg equals x√3, then x equals 7
so the short leg, x, is 7 and since the hypotenuse is 2x, 2(7) =14
Find the measurement indicated in each parallelogram. Send help pleaseeee
Answer:
A
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, then
WT = VU = 21.3 → A
36 is what percent of 100?
A. 0.36%
B. 2.78%
C. 277.8%
D. 36%
Answer: it B. 2.78%
Step-by-step explanation: if it wrong sorry
Answer:
D
Step-by-step explanation:
we know how to find a percent by making it a fraction out of 100
36/100 is 36% so D