Answer:
With $30, Peter can afford 5 hours
Step-by-step explanation:
Given
Insurance Charge = $7.5
Charges = $4.5 per hour
Required
Determine the number of hours $30 can afford
First, we need to determine the equation.
Total Charges = Charges per hour + Insurance Charge
Substitute values for Charges per hour and Insurance Charge
Total Charges = 4.5 per hour + 7.5
Let the number of hours be n;
So,
Total Charges = 4.5n + 7.5
To calculate Peter's; substitute 30 for total charges
[tex]30 = 4.5n + 7.5[/tex]
Subtract 7.5 from both sides
[tex]4.5n = 30 - 7.5[/tex]
[tex]4.5n = 22.5[/tex]
Divide both sides by 4.5
[tex]n = \frac{22.5}{4.5}[/tex]
[tex]n = 5[/tex]
Hence;
With $30, Peter can afford 5 hours
Y is between X and Z. T is
between Y and Z. If XZ = 90,
YT = 22, and XY = TZ, what is
XT?
Answer:
xt=56
Step-by-step explanation:
90-22=68
68/2=34
xy=34
tz=34
22+34=56
xt=56
Do the ratios 19/8 and 5/4 form a proportion?
============================================================
Explanation:
Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"
Let's assume for now that they are. So we have 19/8 = 5/4
To check if that is a true equation, let's cross multiply
19/8 = 5/4
19*4 = 8*5
76 = 40
The last equation is not true, so the first equation is also not true. The ratios are not in proportion.
---------------------------
Alternative method:
Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.
We'll multiply top and bottom by 2 to get 5/4 turning into 10/8
Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.
---------------------------
2nd Alternative method:
Use your calculator to see that
19/8 = 2.375
5/4 = 1.25
The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.
Answer:
no
Step-by-step explanation:
because they are not equivalent to each other.
is √324 rational, irrational, an integer, or a natural or whole number
Answer:
wHOLE number
Step-by-step explanation:
IT is a whole number
help me with this question please
Answer:
the answer is 27
Step-by-step explanation:
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t, in seconds, when the ball’s height is greater than 10 meters.
Complete Question:
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t in
seconds, when the ball's height is greater than 10 meters.
-4.9t² + 22t + 0.75 > 10
The ball's height is greater than 10 meters when t is approximately between __ and __ seconds
Answer:
The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds
Step-by-step explanation:
Given
[tex]-4.9t\² + 22t + 0.75 > 10[/tex]
Required
Solve the inequality
[tex]-4.9t\² + 22t + 0.75 > 10[/tex]
Subtract 10 from both sides
[tex]-4.9t\² + 22t + 0.75 - 10> 10 - 10[/tex]
[tex]-4.9t\² + 22t + -9.25> 0[/tex]
Solve using quadratic formula
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case;
a = -4.9; b = 22; c = -9.25
[tex]t = \frac{-22 \± \sqrt{22^2 - 4 * (-4.9) * (-9.25)}}{2 * -4.9}[/tex]
[tex]t = \frac{-22 \± \sqrt{484 - 181.3}}{-9.8}[/tex]
[tex]t = \frac{22 \± \sqrt{484 - 181.3}}{9.8}[/tex]
[tex]t = \frac{22 \± \sqrt{302.7}}{9.8}[/tex]
[tex]t = \frac{22 \± 17.398}{9.8}[/tex]
Split
[tex]t = \frac{22 + 17.398}{9.8}[/tex] or [tex]t = \frac{22 - 17.398}{9.8}[/tex]
[tex]t = \frac{39.398}{9.8}[/tex] or [tex]t = \frac{4.602}{9.8}[/tex]
[tex]t = 4.02[/tex] or [tex]t = 0.47[/tex]
Convert to inequality;
[tex]0.47 < t < 4.02[/tex]
Hence;
The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds
Answer:
0.47 and 4.02
Step-by-step explanation:
Edmentum/Plato
You went to Disney World by car. The trip there took 6 hours. On the way home, people were evacuating for a possible hurricane so your speed decreased by 20 m/hr and it took 10 hours to get home. How fast was the car going on the way there? How fast was it going on the way back home?
Answer:
a) on the way there, the speed = 50 m/hr
b) on the way back home, speed = 30 m/hr
Step-by-step explanation:
[tex]speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time[/tex]
on the way to Disney land:
distance = d
speed = s
time = t = 6 hours
d = s × t
d = s × 6
d = 6s - - - - - (1)
On the way back:
speed decreased by 20m/hr
This means that s₂ = (s - 20)m/hr
time = t₂ = 10 hours
∴ d = s₂ × t₂
d = (s - 20) × 10
d = 10s - 200 - - - - (2)
Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)
∴ 6s = 10s - 200
collecting like terms:
10s - 6s = 200
4s = 200
∴ s = 200 ÷ 4
s = 50 m/hr
Therefore on the way there, the car was moving at a apeed of 50m/hr
speed on the way back home (s₂) = (s - 20) m/hr
∴ s₂ = 50 - 20
s₂ = 30 m/hr
Therefore on the way back home the speed was 30 m/hr
arleen has a gift card for a local lawn and garden store. she uses the gift card to rent a roller for 4 days. it cost $17 per day to rent the tiller she also buys a rake for $5. find the change to the value of her gift card
Answer:
We use negative values for the money Arleen spends.
a) We determine the change to the value on her gift card:
4(-35)+(-9)= -140+(-9)=-149
b) We determine the amount on money she has left on the gift card after renting the tiller and buying the rake:
200+(-149)=51
Since she has got $51 on her gift card and a wheelbarrow is $50 she is able to buy it:
51>50
RESULT
a) -$149 less b) yes
Step-by-step explanation:
Apply the distributive property to rewrite 3(2-b).
Answer:
3·2 - 3·b = 6 - 3b
Step-by-step explanation:
You "distribute" the 3 over the 2 and the -b.
what is the value of x in the equation 6(x+1)-5x=8+2(x+1)
Answer:
it is x=-4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Write the slope intercept form of the equation.
Y=Mx+b
PLEASE SHOW WORK
Answer:
See below (I hope this helps!)
Step-by-step explanation:
We need to write this in the form y = mx + b.
x + 3y = -12
3y = -x - 12
[tex]y = \frac{1}{3}x - 4[/tex]
WHy is an assingment so hard or at least why do they make it difficult
Answer:
for the teacher to see are u a hard working student
Step-by-step explanation:
There are 216 black sheep and 357 white sheep in a field. How many sheep are in
the field?
563
562
3
573
572
My Progress >
Answer:
The answer is 573 this is correct
Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6
Answer:
D
Step-by-step explanation:
when you add 5.1 and 7.7 together it would be 12.8 but you have to move the decimal to the left again since it has more than one number to the left then the ^5 would turn into ^6 and 1.28x10^6 is 1,280,000 and the other is only 1,000,000
Answer:
D
Step-by-step explanation:
Which set of orderd pairs is a function A.( -6, -4 ), (-4, -2) , ( 0, 0 ), (-4, 2 ) ,( -6, 4) B. ( -2 , 1 ) , (-4, 2) , ( 0, 3) , ( 4, 1) , (-2 , 5 ) C. (-1 , 5) , ( -1 , 4) , (-1 , 3) , ( -1 , 2) , (-1, 1 ) D. ( -5, 1 ) , (-3 ,2), ( -1, 3) , (1, 4) , (3, 5
Answer:
The answer is D
Step-by-step explanation:
To be a function, you cannot have the same x values.
i need the answer to this problem
Answer:
c/4 is 7 and c is 28
Step-by-step explanation:
Answer: Answer in steps
Step-by-step explanation:
[tex]\frac{c}{4} -12 = -5[/tex] Add 12 to both sides
[tex]\frac{c}{4} = 7[/tex] Now multiply both sides by 4
c= 28
Hi I'm not really good at least to greatest but can I have help.
Answer:
the answer is c.
c shows the correct order.
Step-by-step explanation:
i hope this helps you! <33
Answer:
for negative the highest number is the least, I believe and for positive numbers the least number is just the one that is the smallest Step-by-step explanation:
please help me I dont know how to find the domain and range of this one
Somebody HELPPPPPSelect the correct answer. What is the value of this expression if a = - 7 and b = -37 a3 - b2
Negative seven multiply three minus negative thirty seven multiply two equal to seventy four minus twenty one equal to fifty three.
Write as a fraction and simplify. (use the symbol / for your answer)
0.23333...
I
Answer:
23/99
Step-by-step explanation:
0.23 is x.
Because x is recurring in two decimal places, we will multiply it by 100.
100x=23.23
Then we subtract.
100x-x=23.23-0.23
99x=23
x=23/99
At a certain game at a school carnival, people won 42 small prizes and 18 large prizes. For every _____ small prizes won, there were _____ large prizes won.
Answer:
For every 7 small prizes won, there were 3 large prizes won.
ratio : 42:18 or 7:3
As 42/18 is the same as 7/3 For every 7 small prizes won, there were 3 large prizes won.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, At a certain game at a school carnival, people won 42 small prizes and 18 large prizes.
Now, 42/18 = 21/9 = 7/3.
∴ For every 7 small prizes won, there were 3 large prizes won.
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A triangle with vertices (−2, 3), (5, 4), and (−1,−1) is translated using the rule (x, y)→(x−3, y+4). What are the coordinates of the image?
Answer:
(-6,7) (2,8) (-4,3)
Step-by-step explanation:
HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!
Answer:
A) 2
Step-by-step explanation:
Which of the following is another way to express the difference between -5 and 8
Answer:
-5 - 8 = -13
Another way to express the difference is:
-8 + (-5) = 13
Step-by-step explanation:
(Picture)
Answer:
-5 - (-8)
Step-by-step explanation:
Can someone help me with this simple math problem, I’m a little confused on what’s the correct answer. I will mark you brainliest.
Answer:
Its irrational because pi is a repeating number with no pattern.
UwU hope this helps
HELPP
Solve the equation 15+25=4+6x
Answer:
x=6
Step-by-step explanation:
Answer: x=6
Explanation:
1. Add: 15+25=40
2.Subtract 4 from each side: 40=4+6x
3.Divide by 6: 36=6x
4. x=6
Help me find the slopes of these please.
Slope formula: y2-y1/x2-x1
Part one:
-7-4/-7-(-7)
-11/0
Since the denominator is 0, the slope is undefined.
Part two:
-9-(-9)/2-(-5)
0/7
Since the numerator is 0, the slope is 0.
Best of Luck!
Problem 1
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (-7 - 4)/(-7 - (-7))
m = (-7 - 4)/(-7 + 7)
m = -11/0
The result is undefined as we cannot divide by zero.
This line is vertical and all vertical lines have undefined slopes. This happens when both points have the same x coordinate.
Answer: Undefined=========================================================
Problem 2
Use the slope formula again, just with different values of course
m = (y2 - y1)/(x2 - x1)
m = (-9 - (-9))/(2 - (-5))
m = (-9 + 9)/(2 + 5)
m = 0/7
m = 0
In contrast to the previous problem, we can have 0 in the numerator. Dividing 0 over any nonzero value leads to 0.
This line is horizontal as both y coordinates are the same value. All horizontal lines have a slope of 0. You can think of it like
slope = rise/run = 0/1
rise = 0 means we don't move up or down
run = 1 means we move to the right 1 unit
Answer: 0Please solve!!!!!!!!!!!
find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
Answer:
(-6,14)
Step-by-step explanation:
We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:
(4,12) and (-1,13)
First, we take the x values because these two points are using the (x,y) pattern.
How far away are 4 and -1? The answer is 5.
How far away are 12 and 13? Only 1
If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.
Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.
Use fundamental identities and/or the complementary angle theorem to find the exact value of the given expression. Do not use a calculator. sec234°−tan234°
Answer:
1Step-by-step explanation:
Given the expression sec²34°−tan²34°, to get the exact value using the fundamental identities and/or the complementary angle theorem, we will apply the trigonometry identity
From sin²θ+cos²θ = 1
Divide both sides of the expression by cos²θ
sin²θ/cos²θ+cos²θ/cos²θ = 1/cos²θ
tan²θ+1 =sec²θ
Since sec²θ= tan²θ+1, hence sec²34°= tan²34°+1... 1
Substituting equation 1 into the expression given in question we will have;
sec²34°−tan²34°
= (tan²34°+1)-tan²34°
collect like terms
= tan²34°-tan²34°+1
= 1
Hence the exact value of the expression sec²34°−tan²34° is 1
First correct answer will get braniley
Answer:
The first one
Step-by-step explanation:
According to definition of proportion, the correct statement is,
⇒ AC / BC = DF / EF
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
⇒ Δ ABC ≅ Δ EFD
Now,
Since, We have;
⇒ Δ ABC ≅ Δ EFD,
Hence, By definition of congruency, the ratio of there corresponding sides are equal.
So, We get;
⇒ AC / BC = DF / EF
Thus, ''Option 3'' is true.
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