joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
What words do I fill the blanks in with? Please hurry <3
Answer:
It says why you suck at cooking
Hope this helps!! :D
2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48
WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answer:
2,322,775
Step-by-step explanation:
[tex] a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\[/tex]
By the formula of sum of an Arithmetic Sequence
[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} [/tex]
Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?
Answer:
Note. There is a mismatch between the graph and the equation
------------------------------
As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s------------------------------
If we go by the equation, then:
f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 secondsFind the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
3 3/4 divided by 3/4
Answer:
5
Step-by-step explanation:
3 3/4 divided by 3/4 is equal to 15/4 divided by 3/4
which is 15/4 times 4/3 the 4's cancel each other out making it 15/3 which is 5
Answer:
The answer is 5
Step-by-step explanation:
i dont really know how i know it just do.
someone please help
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
Find the value of x that makes A||B.
22 = 3x - 20 and 25 = x + 20
x = [?]
Enter
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[tex]angle \: 2 \: = angle \: 5[/tex]
[tex]3x - 20 = x + 20[/tex]
Add sides 20
[tex]3x - 20 + 20 = x + 20 + 20[/tex]
[tex]3x = x + 40[/tex]
Subtract sides x
[tex] - x + 3x = - x + x + 40[/tex]
[tex]2x = 40[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]
[tex]x = 20[/tex]
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Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7
Answer:
slope(m)=change in y/change in x
-7=y-(-2)/x-(-7)
-7=y+2/x+7
-7(x+7)=y+2
-7x-49=y+2
-7x-49-2=y
-7x-51=y (B)
x^2 plus 2y divideed by 2x plus 3z equal
Answer:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Step-by-step explanation:
Doing this problem correctly requires the application of "order of operations" rules. "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your
x^2 plus 2y divided by 2x
comes out to:
(x^2 plus 2y")
--------------------
2x
If we now divide this result by "2x plus 3z," we get:
(x^2 plus 2y")
--------------------
2x
================
2x + 3
or:
(x^2 plus 2y")
--------------------
2x(2x + 3)
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
9514 1404 393
Answer:
Each strawberry contains 4 calories
Step-by-step explanation:
The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.
Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).
The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.
The appropriate choice is ...
Each strawberry contains 4 calories
Answer:
its 4 calories, A
Step-by-step explanation:
i just got it right on edge
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
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https://brainly.com/question/18874560
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal
Answer:
Step-by-step explanation:
Given
A metal block has a mass = 60kg
volume = 0.5 meter cube
Solution
Density=masala volume
Density=60/0.5
Density of the metal=120kg/m^3
75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?
Answer:
67.5
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
C) reflection over the x-axis
iven: PA = PC and BA = BC. Use the diagram to find the length described.
Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?
pabc
AC is
cm in length.
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[tex]BA = BC = 12[/tex]
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[tex]AC = BA + BC[/tex]
[tex]AC = 12 + 12[/tex]
[tex]AC = 24[/tex]
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Solve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
HELP I WILL CROWN BRAINLIEST
One question only
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AOBC is a parallelogram ,
Thus :
[tex]OA = BC = a[/tex]
And ;
[tex]AC = OB = b [/tex]
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M is the midpoint of AC ,
So :
[tex]AM = MC = \frac{b}{2} \\ [/tex]
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According to case of Cosine in ∆ OAM :
[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]
So :
[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]
[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]
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I have something more to tell.
Just for know more...
According to the case of Sine in ∆ OAM :
[tex] \frac{OM}{ sin(A) } = \frac{
AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]
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As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.
Answer:
48km
5miles = 8km
×6 = ×6
30miles= 48km
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.88
Step-by-step explanation:
compare linear and nonlinear functions
When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.
Answer:
4x+148
Step-by-step explanation:
Let the temperature be x and time taken by cricket to chirp be y
if when it is about 68°F, crickets chirp 124 times a minute, this means;
at x1 = 68, y1 = 124
If it is about 80°F, they chirp 172 times a minute, then;
at x2 = 80, y2 = 172
The standard form of equation in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line.
First we need to get the slope.
m = y2-y1/x2-x1
m = 172-124/80-68
m = 48/12
m =4
Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)
get the intercept c
124 = 4(68) + c
c = 272-124
c = 148
The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?
Answer:
Step-by-step explanation:
We can use the markdown formula to solve this question because it is the same type of problem.
= R x P
1. = 500 x 0.04
= 20
2. 500 - 20
= 480
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Key: R = Percentage Rate P = Original Price
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
$20 = x bottle
Solving both equality postulate;
$1 = 1 bottle
$20 = x bottle
Cross multiply
1 * x = 20 * 1
x = 20
Hence about 20 bottles of mineral drink can be bought with at most 20 dollars
Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
which is = 39
GUYS PLS HELP ME, its math and I'm really stuck
Answer:
B. 1/2
Step-by-step explanation:
You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.
1/2 inch : 1 week
1/2
I Hope That This Helps! :)
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Answer: 15w
Step-by-step explanation: