The woman's average speed is 49 miles per hour, so in 7 hours she will travel 343 miles.
To solve how far a woman will drive in 7 hours at the same rate as she did for 245 miles in 5 hours, we need to calculate her average speed and then use that to find the distance for 7 hours. The average speed is calculated by dividing the total distance by the total time of travel. So in this case, the average speed is 245 miles divided by 5 hours, which is 49 miles per hour.
Next, to find out how far she will travel in 7 hours, we multiply her average speed by the total time of travel. Therefore, 49 miles per hour multiplied by 7 hours equals 343 miles.
How is the graph of y=9(3)^x+6 translated from the graph of y=9(3)^x?
what is the least common factor of 54 and 77
Consider the function
{8x-x^2 for x is less than or equal to 8
x^2+3 for x>8}
what is f(8)?
If a share of stock costs $32.63, what would it cost to buy 1,000 shares of the stock?
I’m stuck. Please help.
4. The science team uses the information to suggest the main outcome of the hypothesis.
a. Make a prediction
b. Test the hypothesis
c. observe the problem
d. Define a problem
5. This step includes recording data, taking photos, and coordinating information.
a. Make a prediction
b. Test the hypothesis
c. observe the problem
d. Define a problem
Pythagorean Theorem. I need help please!!!!!
Complete the pairs of 's.
(triangle)FCA ~= (triangle)
DAC
EBC
GCA
Answer:
DAC
Step-by-step explanation:
We can write, from the figure of the question.
In ΔFCA and ΔDAC.
∠FAC=∠DCA,
AC=CA, (common)
∠FCA=∠DAC.
Hence , we can say ΔFCA ≅ ΔDAC, because here in ΔFCA and ΔDAC, the two corresponding angles and including side are same (from ASA postulate ).
What is the y-intercept of the line? y +6x - 4y-intercept =?
Answer:
[tex]\huge\boxed{\boxed{\tt{the \ y-intercept \ is \ -4}}}[/tex]
Step-by-step explanation:
Hello.
The equation is written in slope-intercept form (y-mx+b, where m stands for the slope of the line and b stands for the y-intercept)
Let's write the equation and see if we can identify its y-intercept (the point where the graph touches the y-axis)
Equation:
[tex]{\boxed{\boxed{\bf{y=6x-4}}}[/tex]
Y-intercept:
[tex]\boxed{\boxed{-4}}[/tex]
And we're done!
Note: The slope of the line is 6.
I hope it helps & have an outstanding day!
~ST2710
Amanda walks at an average speed of 3.5 miles per hour. The function d(x) gives the distance Amanda walks in x hours
Help please !!!!!!!!!!!!!!
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $27 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has no monthly fee but charges $0.16 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?
Enter your answer in the box.
we know that
A method for calculating the area of a triangle when you know the lengths of all three sides is the Heron's Formula.
The Heron's Formula states that
[tex]A=\sqrt{p(p-a)(p-b)(p-c)}[/tex]
where
a,b.c are the length sides of the triangle
p is half the perimeter of the triangle
Let
[tex]A(-4,1)\\B(-7,5)\\C(0,1)[/tex]
Step 1
Find the distance AB
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]A(-4,1)\\B(-7,5)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(5-1)^{2}+(-7+4)^{2}}[/tex]
[tex]d=\sqrt{(4)^{2}+(-3)^{2}}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]dAB=5\ units[/tex]
Step 2
Find the distance BC
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]B(-7,5)\\C(0,1)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(1-5)^{2}+(0+7)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2}+(7)^{2}}[/tex]
[tex]d=\sqrt{65}[/tex]
[tex]dBC=8.06\ units[/tex]
Step 3
Find the distance AC
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]A(-4,1)\\C(0,1)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(1-1)^{2}+(0+4)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(4)^{2}}[/tex]
[tex]d=\sqrt{16}[/tex]
[tex]dAC=4\ units[/tex]
Step 4
Find half the perimeter
[tex]p=\frac{1}{2}(AB+BC+AC)[/tex]
substitute the values
[tex]p=\frac{1}{2}(5+8.06+4)[/tex]
[tex]p=8.53\ units[/tex]
Step 5
Find the area
Applying the Heron's Formula
[tex]A=\sqrt{8.53(8.53-5)(8.53-8.06)(8.53-4)}[/tex]
[tex]A=\sqrt{8.53(3.53)(0.47)(4.53)}[/tex]
[tex]A=\sqrt{64.11}[/tex]
[tex]A=8\ units^{2}[/tex]
therefore
the answer is
the area of the triangle is [tex]8\ units^{2}[/tex]
The area of a shape is the amount of space it occupies.
The area of the triangle is 8 unit square.
The vertices are given as:
[tex]\mathbf{A = (-4,1)}[/tex]
[tex]\mathbf{B = (-7,5)}[/tex]
[tex]\mathbf{C = (0,1)}[/tex]
The area of the triangle is:
[tex]\mathbf{A= \frac{1}{2} \times |A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}[/tex]
So, we have:
[tex]\mathbf{A= \frac{1}{2} \times |-4(5 - 1) -7(1 - 1) + 0(1 - 5)|}[/tex]
[tex]\mathbf{A= \frac{1}{2} \times |-4(4) -7(0) + 0|}[/tex]
[tex]\mathbf{A= \frac{1}{2} \times |-4(4) -0 + 0|}[/tex]
[tex]\mathbf{A= \frac{1}{2} \times |-16|}[/tex]
Remove absolute brackets
[tex]\mathbf{A= \frac{1}{2} \times 16}[/tex]
[tex]\mathbf{A= 8}[/tex]
Hence, the area of the triangle is 8 unit square.
Read more about areas at:
https://brainly.com/question/12074976
The floor of a shed has an area of 99 square feet. the floor is in the shape of a rectangle whose length is 7 feet less than twice the width. find the length and the width of the floor of the shed. use the formula, area equals=length times•width.
Final answer:
The width is 9 feet and the length is 11 feet.
Explanation:
The area of a shed floor is given as 99 square feet, and the floor is shaped like a rectangle. According to the problem, the length (L) of the floor is 7 feet less than twice the width (W). The relationship between length and width can be expressed as L = 2W - 7. We can use the area formula, which is Area = Length × Width.
Given the area (A) is 99 sq ft, we can set up the equation:
A = L × W
99 = (2W - 7) × W
Now we solve for W using the quadratic equation:
W2 - 7W + 99 = 0
Upon solving, we find that W = 9 feet (since the width cannot be negative). Now we can find the length L by substituting W into the length expression:
L = 2 × 9 - 7 = 11 feet
Therefore, the width is 9 feet and the length is 11 feet.
Write an expression that is equivalent to 2/3 (4x + 9).
8/3x + 6
8/3x + 9
2/3x + 6
2/3x + 9
2/3 of 9 = 6
2/3 *4 = 8/3
so the answer would be 8/3x +6
Soft drinks are sold in 2-liter bottles or 354-milliliter containers. How many liters are in 354 milliliters? please explain well
A tortoise and a hare are competing in a race around a 1600-meter track. The arrogant hare decides to let the tortoise have a 780-meter head start. When the start gun is fired the hare begins running at a constant speed of 10 meters per second and the tortoise begins crawling at a constant speed of 5.3 meters per second.
nick bought a pet lizard and enjoys the responsibility of taking care of it . every week , the lizard will eat 60 grasshoppers. nick pays $1 for 20 grasshoppers . how many dollars will a year’s worth of food cost for the lizard
60*52 = 3120 per year
3120/20 = 156
it will cost $156 a year
Can you find a shortcut in doing two translations in geometry
You spend 5/6 of the money in your pocket on new clothes for school. The amount you spend on jeans for school is 2/5 of the total amount you spend on all your school clothes.
What fraction of the original amount of money in your pocket do you spend on jeans?
a rectangle has a diagonal which is 4 times the width if the area is 15root2 what are width andperimeter of the rectangle
If t varies directly as s and inversely as v^2 and is t =0.1 when s =72 and v=6, find s when t=5 and v=0.2
The Scott Shop charges $27 more than the Garcia Co. for a winter jacket. If the Scott shop’s price is $77, how much does the Garcia Co. charge?
subract 27 from 77
77 -27 =50
Garcia charges 50 dollars
Suppose the number $1155$ is written as the product of three positive integers. What is the smallest possible value of the sum of those three integers?
First off, let us find for the prime factors of this number, 1155. The prime factors are:
3 * 5 * 7 * 11 = 1155
3, 5, 7, 11
Since there are 4 prime factors, we multiply the two smallest prime factors to make this into three, so multiply 3 and 5, so:
15, 7, 11
Now the smallest possible sum is:
15 + 7 + 11 = 33
Answer:
33
how would you graph the solution set of the system of inequalities {3y≤2x+6} { 2x+y>0}
Which expression is equivalent to -3.5(4x – 3)?
A. -3.9x – 3.2
B. -3.9x + 3.2
C. -14x + 10.5
D. -14x – 10.5
Answer:
The answer is c
Step-by-step explanation:
if i have 64,32,16,8 what two numbers comes next
Can someone help me with this? 18(−8c+16)−13(6+3c) =
Two angles are complementary. the measure of one angle is 21 more than the measure of the other angle. find the measures of the angles
The legs of a right triangle measure 30cm and 40cm.what is the length of the hypotenuse