Answer:
196
Step-by-step explanation:
Answer:
196
Step-by-step explanation:
In still water, a boat averages 18 miles per hour (mph). It takes the same amount of time to travel 33 miles downstream (with the current) as it takes to travel 21 miles upstream (against the current). What is the rate of the water's current
Answer:
The rate of the water current is 4mph
Step-by-step explanation:
Let c= the rate of the current in mph
18+c= the rate of the boat going downstream in mph
18-c= the rate of the boat going upstream in mph
t = time in hrs for both upstream and downstream trips
Going downstream:
33=(18+c)*t (1)
Going upstream
21=(18-c)*t (2)
From (1)
33=(18+c)*t
t=33/1(8+c)
Substitute t=33/(18+c) into (2)
21=(18-c)*t
21=(18-c)*33/(18+c)
Cross product
21(18+c)=33(18-c)
378+21c=594-33c
21c+33c=594-378
54c=216
Divide both sides by 54
54c/54=216/54
c=4
Therefore,
The rate of the water current is 4mph
In 1860, gingham cloth sold for
$0.25 per yard. Mrs. Olsen bought
16.4 yards to make clothes for her
whole family. How much did she
spend on cloth?
Answer:65.6
Step-by-step explanation:
So $0.25 per yard
16.4/$0.25=65.6
1.
Which of the following equations is equivalent to 1.43p + 2.2= -4.001 use photo for choices
Answer:
1430p + 2200 = -4001
Step-by-step explanation:
x=4y+7 2x-6y=12 System of equations using substitution
Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
The required solution of the given system of equations are x = 3 and y = -1.
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The given system of equations is below as:
x = 4y + 7 ....(i)
2x - 6y = 12 ....(ii)
To solve the equations, use the substitution method.
Substitute the value of equation x = 4y+7 in (ii), and solve for y
2(4y + 7) - 6y = 12
8y + 14 - 6y = 12
8y - 6y = 2y
2y + 14 = 12
Subtract 14 from both sides of the equation
2y = -2
y = -1
Substitute the value of y = -1 in (i), and solve for x
x = 4(-1) + 7
x = -4 + 7
x = 3
Thus, the required solution of the given system of equations are x = 3 and y = -1.
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Please answer quick!!
Answer:
mBC = 96°
mB = 55°
mC = 77°
mAB = 154°
Step-by-step explanation:
The angle mB inscribes the arc mAC, so we have:
[tex]mB = mAC / 2[/tex]
[tex]mB = 110 / 2 = 55\°[/tex]
The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:
[tex]mA + mB + mC = 180[/tex]
[tex]48 + 55 + mC = 180[/tex]
[tex]mC = 180 - 48 - 55[/tex]
[tex]mC = 77\°[/tex]
Using again the property of inscribed angles, we have:
[tex]mAB = 2*mC = 154\°[/tex]
[tex]mBC = 2*mA = 96\°[/tex]
3
4
5
The table represents a function.
What is f(-2)
f(x)
-3
3
-1
x
-6
-2
0
3
1
0 1
4
-2
3
Answer:
The answer is option D.3Step-by-step explanation:
From the table above f(-2) = 3
Hope this helps you
Create a rectangle around the parallelogram. The dimensions of this rectangle are .
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is square units.
Answer:
First drop down: 11 by 20
Second drop down: 110
Third drop down: 110
The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .
What is a parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.
Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)
The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,
Thus the new coordinates of the rectangle will be:
A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,
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Complete question:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
ANSWER A
Step-by-step explanation:
Answer:
it has a horizontal asymptote at y=O
Step-by-step explanation:
answer is A.
because A linear parent function is the equation y = x or f(x) = x.
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
?
Jim has 3 cats, 5 dogs, and 2 rabbits. Match each type of ratio to the
correct description of Jim's pets. Drag the items on the left to the
correct location on the right
part-to-part ratio
5 dogs to 10 per
whole-to-part ratio
3 cats to 5 dogs
part-to-whole ratio
10 pets to 2 rab
Answer:
The correct locations are;
Part to part ratio is 3 cats to 5 dogs
Whole to part ratio is 10 pets to 2 rabbits
Part to whole ratio is 5 dogs to 10 pets
Step-by-step explanation:
The given information are;
The number of cats Jim has = 3
The number of dogs Jim has = 5
The number of rabbit Jim has = 2
The total number of pets Jim has = 3 + 5 + 2 = 10 pets
Therefore;
The fraction of the pets that are cats = 3/10
The fraction of the pets that are dogs = 5/10
The fraction of the pets that are rabbits= 2/10
Therefore we have;
Part to part ratio = 3/10 cats to 5/10 dogs = 3 cats to 5 dogs
Whole to part ratio → 10 pets to 2 rabbits
Part to whole ratio → 5 dogs to 10 pets.
Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49
Answer:
Step-by-step explanation:
6 and 7
What is the area of triangle qrs?
Answer:
area=HbB/2
hope you understand
???????????????????????
Answer:
D is the answer
Step-by-step explanation:
because it has high probability of success 70 %
so
Use completing the square to solve for x in the equation (x-12)(x+4x)=9.
Answer:
x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)
Step-by-step explanation:
Solve for x over the real numbers:
(x - 12) (x + 4 x) = 9
(x - 12) (x + 4 x) = 5 x (x - 12):
5 x (x - 12) = 9
Divide both sides by 5:
x (x - 12) = 9/5
Expand out terms of the left hand side:
x^2 - 12 x = 9/5
Add 36 to both sides:
x^2 - 12 x + 36 = 189/5
Write the left hand side as a square:
(x - 6)^2 = 189/5
Take the square root of both sides:
x - 6 = 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)
Add 6 to both sides:
x = 6 + 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)
Add 6 to both sides:
Answer: x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)
I need help with this one I’m stuck on it.
Answer:4.5
Step-by-step explanation:
Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups ofcream. How many quarts of each flavor should you make in order to use up all the eggs and cream?
Answer:
in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
Step-by-step explanation:
Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.
For Creamy Vanilla go 2 eggs and 3 cups of cream
For Continental Mocha go 1 egg and 3 cups of cream.
Total number of eggs = 500 eggs
Total number of cream cups = 900 cups.
For the eggs;
2 eggs × x + 1 egg × y = 500
2x + y = 500 .......1
For the cream cups;
3 cups × x + 3 cups × y = 900
3x + 3y = 900
Dividing through by 3
x + y = 300 .......2
Solving the simultaneous equation;
Subtracting equation 2 from 1
(2x + y) - (x+y) = 500-300
2x -x = 200
x = 200
Substituting x = 200 into equation 2;
200 + y = 300
y = 300 - 200
y = 100
Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
The answer is 9.8 m/s2
Answer:
B. 9.8 m/s^2
Step-by-step explanation:
I got it correct on edg2020
***#BRAINLIEST IF ANSWERED***
Segment QR is tangent to circle P at point Q. What is the measure of
angle PQR? *
37°
53°
90°
97°
Answer:
90
Step-by-step explanation:
its a right angle
if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the distance travelled by the truck during the time interval?
Answer:
The answer is given below
Step-by-step explanation:
Let us assume the truck accelerates for 4 seconds.
Given that:
Initial velocity (u) = 0 (starts from rest),
acceleration (a) = 4 m/s²
time (t) = 4 s
Final velocity (v) = ?,
Distance (s) = ?
To calculate the final velocity, we use the formula:
v = u + at
Substituting values gives:
v = 0 + 4(4)
v = 0 + 16
v = 16 m/s
The final velocity is 16 m/s²
To calculate the distance traveled by the truck, we use the equation:
[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]
The distance traveled by the truck during the time interval is 32 meters
Find m∠V. Struggling in geometry! Help plz :/
Answer:
16 degrees
Step-by-step explanation:
74 + 90 = 164
180-164 = 16
he salad contains fruits and vegetables. There are at most 8 pounds of fruits and vegetables in the salad. Write the system of inequalities to represent this situation.
Answer:
The system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]
Step-by-step explanation:
Let the amount of fruits be x pounds
Let the amount of vegetables be y pounds
We are given that There are at most 8 pounds of fruits and vegetables in the salad.
This means that there are less than or equal to 8 pounds of fruits and vegetables in the salad.
So,[tex]x+y \leq 8[/tex]
Hence the system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]
PLEASE ANSWER THIS GEOMETRY QUESTION ASAP FOR ME PLEASE!!
Answer:
60°
Step-by-step explanation:
30° + 90° = 120°
180° - 120° = 60°
180 is the sum of interior angels
The figure below is formed by 8 identical rectangles and 1 triangle. Find the
area of the shaded triangle
Answer:
Step-by-step explanation:
Base of triangle = length of the rectangle
Since, all are identical rectangles,
Length of a rectangle= 36/2 = 18 cm
Base of triangle = 18 cm
Height of triangle = length of the rectangle + width of the rectangle
Width of 6 rectangles = 36
Width of 1 rectangle = 36/ 6 = 6 cm
Height of the triangle = 18 + 6 = 24 cm
Area of the shaded triangle = [tex]\frac{1}{2}base*height[/tex]
= [tex]\frac{1}{2}*18*24[/tex]
= 9 * 24
= 216 cm²
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.
Y
¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden
para expresar el peso de cada uno de ellos, tenemos
la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:
8 kg/4 s
2 kg por encomiendaOfertamos la fracción que representa cada una en el total:
kg por encomienda/total de kg
2/8 x 1/4
Given triangle ABC shown below, which graph shows the transformation
(x + 3, y-2)
A
B
C
D
Answer:
its c
Step-by-step explanation:
What are the coordinates of the point that partitions AB according to the part-to-part ratio 4:3?
Answer:
(-1,0)
Step-by-step explanation:
Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P
The section formula is used here and the point we are having would be;
P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)
From the question;
m = 4 and n = 3
x1 = -5, y1 = -8
x2 = 2 , y2 = 6
Plugging these values in the equation above, we have;
P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)
P = (8-15)/7, (24-24)/7
= -7/7, 0/7
= (-1, 0)
The coordinates of point P is (-1,0)
Please answer this question fast in two minutes
Answer:
(8, -7)
Step-by-step explanation:
QR, R= (-2, -1)
M= (3, -4)
Q= ?
--------
3= (-2+x)/2 ⇒ x= 6+2= 8-4= (-1+y)/2 ⇒ y= -8+1= -7Q= (8, -7)
It takes approximately 8 working days for an orderof number 6 screws to arrive once the order has beenplaced. (Refer to Problem 6-18.) The demand fornumber 6 screws is fairly constant, and on the aver-age, Lila has observed that her brother's hardwarestore sells 500 of these screws each day. Because thedemand is fairly constant, Lila believes that she canavoid stockouts completely if she only orders thenumber 6 screws at the correct time. What is theROP?
Answer:
Step-by-step explanation:
Given that:
The demand for number 6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.
So;
The demand for number 6 screws = 500 screws /day
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.
Delivery time-frame = 8 days
Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.
i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day
= 4000 screws
This implies that these 4000 screws will only last for 6 days.
Thus Lila ROP ( reorder point) will be to reorder for another set of screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.
In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:
This implies that these 4000 screws will only last for 6 days.
The exercise statement states that:
6 screws is fairly constant and brother's hardware store sells 500 of these screws each day.With this information we can also say that:
It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.Then, performing the calculation, we find:
[tex] 8 * 500 = 4000 screws[/tex]
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Write these numbers in standard form.
a)
seventeen thousand
b) twenty six million
c)
seven hundred and forty thousand
Answer:
A) 17,000 = 1.7x10^4
B) 26,000,000 = 2.6x10^7
C) 740,000 = 7.4x10^5
Step-by-step explanation:
Answer:
1.7x10
Step-by-step explanation:
What is the product?
Answer: [-12, 3, 2, -2]
Step-by-step explanation:
Multiply each corresponding integer by each other.
4 * -3 = -12
3 * 1 = 3
-1 * -2 = 2
-1 * 2 = -2
What are the zeros of f(x) = x(x - 9)?
A. X = 0 only
B. X = 0 and x = -9
O
C. x = 9 only
O D. x = 0 and x = 9