Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
-2, -7, -12,-17, ...
find out the nth term
Answer: -42
Step-by-step explanation:
Add 5 to each number until you reach the ninth term.
Answer:
-42 is the ninth term
Step-by-step explanation:
You need to find patterns in these kinds of problems. What do you do to the number to get to the next one? In this case, you are subtracting 5 from every number to get to the next. Therefore, to get to the ninth number, you must continue the pattern like this:
-2 (now subtract 5), -7 (subtract 5), -12 (-5), -17 (-5), -22 (-5), -27 (-5), -32 (-5), -37 (-5), -42 (-5)
Please do all for brainliest! It’s due in 1 hour!
Answer:
3x-7=17
3x=17+7
3x=24
x= 8
Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
We use cosine to find the value of x
That's
[tex] \cos(45) = \frac{1}{x} \\ x \cos(45) = 1 \\ x = \frac{1}{ \cos(45) } \\ \\ \\ \boxed{ x = \sqrt{2} }[/tex]
Hope this helps you
Hope this helps you
if 9:x=36:20, What is the value of x
Answer:
x = 5
Step-by-step explanation:
Expressing the ratio in fractional form , that is
[tex]\frac{9}{x}[/tex] = [tex]\frac{36}{20}[/tex] ( cross- multiply )
36x = 180 ( divide both sides by 36 )
x = 5
The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.
Answer:
It wouldn't.
Step-by-step explanation:
With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.
6 7/16 - (-4.75)=
need help
Answer:
143 / 16
Step-by-step explanation:
Simplified: 8.9375
Answer:
11.1875, [tex]\frac{179}{16}[/tex], or 11 [tex]\frac{3}{16}[/tex]
Step-by-step explanation:
6 [tex]\frac{7}{16}[/tex] - (-4.75) =
Decimal form - 11.1875
Exact form - [tex]\frac{179}{16}[/tex]
Mixed Number form - 11 [tex]\frac{3}{16}[/tex]
hope this helps :)
Three ice cream cones cost $8.40. At this rate, how much do two ice cream cones cost?
Answer:
two cost 5.6 dollars
Step-by-step explanation:
8.4 / 3=2.8$
2.8*2=5.6$
Answer:
$5.60
Step-by-step explanation:
You first take 8.40 and divide it by 3. Which makes you get 2.8. 2.8 is the cost per ice cream cone. Do 2.8 times 2 to get 5.6.
The ratio of oak trees to maple trees in a park is 6 to 4. What percent of the trees in the park are oak trees?
Answer:
60%
Step-by-step explanation:
The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.
which angle pairs are congruent? Select all that apply
Answer:
Step-by-step explanation:
The first and last one
Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.
Answer:
One solution: x = 0
Step-by-step explanation:
Starting with 3x+10=2x+10,
subtract 2x from both sides. We get x + 10 = 10, or x = 0. This equation has ONE solution, x = 0.
-3(2t - 1) = t + t + t + 3
Answer:
-3(2t - 1) = t + t + t + 3
-6t + 3 = 3t + 3
-6t -3t = 3t - 3t +3
-9t + 3 - 3 = 0
9t = 0
t = 0
Step-by-step explanation:
Mr. Bartol bought 20 pizzas for a 6th grade party. The total cost was
260.
w much does 1 pizza cost?
Answer:13
Step-by-step explanation:
Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.
Answer:
7
x
+
15
y
=
600
Find the x-intercepts.
Tap for more steps...
x-intercept(s): (6007,0)
Find the y-intercepts.
Tap for more steps...
y-intercept(s): (0,40)
List the intersections.
x-intercept(s): (6007,0)
y-intercept(s): (0,40)
Step-by-step explanation:
A Store has 120 customers in 6 hours.What is the unit rate in customers per hour
Answer:
20
Step-by-step explanation:
120/6=20
Which one is the bigger number 3.5F or 5F.
Answer: 5F is the bigger one, because a whole number is bigger than the decimal
Answer: 5F is the answer.
Step-by-step explanation:
Drew pls mark me brainiest!!!
please help, due today thanks
Answer:
what are the given of that hakdog
6. Which inequality describes the situation when Bob has at least 3 pets?
if x is the amount of pets Bob has:
≥=greater than or equal to, bob has 3 pets or more thus
x≥3
Enter the slope-intercept equation of the line that has -2 and y-intercept (0,7)
Write 822 in scientific notation.
Answer:
8.22 × 10²
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to convert from standard form to scientific notation:
822 = 8.22 × 10²
Multiply 2.89x 23.2 =
7: Which of the following numbers is smallest?
(b)
7.0
(c)
)
(d)
.7
12
(e)
S
Answer:
d) 0.712
Step-by-step explanation:
Your question isn't clear, so my answer may be wromg
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answer:
integers
Step-by-step explanation:
What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?
Answer:
y=5x+6
Step-by-step explanation:
The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 16).
And, The parallel line is,
⇒ y = 5x + 8
Now,
Since, The equation of line passes through the point (2, 16).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 5x + 8
m = dy/dx = 5
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - 16 = 5 (x - 2)
⇒ y - 16 = 5x - 10
⇒ y = 5x - 10 + 16
⇒ y = 5x + 6
Therefore, The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
Learn more about the equation of line visit:
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Tony purchased a 15-foot-long-sub for a party. He cuts the sandwich into 5/12 foot sections. Into how many pieces does he cut the sandwich?
Answer:
3?
Step-by-step explanation:
Number of pieces in sandwich is 36 piece (Approx.)
Given that;Sandwich size = 15 feet
Each piece = 5 / 12
Find:Number of pieces in sandwich
Computation:Number of pieces in sandwich = Sandwich size / Each piece
Number of pieces in sandwich = 15 / [5/12]
Number of pieces in sandwich = 36 piece (Approx.)
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Holden wants to earn money teaching kids how to skate. It costs him $250 to advertise his new skate school. He charges students $16 and hour to learn how to skate. How many hours does he have to teach in order to make $768, the amount needed to
buy a new gaming system?
Create an equation where r represents the
number of hours Holden needs to work.
Answer:
16r - 250 = 768
Step-by-step explanation:
First, create a term that represents his revenue:
Since he charges students $16 per hour, the amount of money he makes from this can be represented by 16r.
Then, subtract the advertising cost of $250 from this.
Set it equal to 768, because that is how much the gaming system costs.
16r - 250 = 768 will be the equation
If its 9:00 am what time will it be in 50 hours
Answer:
in 50 hours it will be 11 am 2 days later
Step-by-step explanation:
24 hours is one day
2*24 = 48 hours is 2 days
50-48 = 2 hours
add 2 hours to 9 am
11 am
in 50 hours it will be 11 am 2 days later
Which features describe the graph?
Select all that apply.
Answer:
A and B
Step-by-step explanation:
The domain is correct, and the range is accurate as well: the other two do not apply to this graph (they have incorrect values).
Convert to meters: 22 km
Answer:
22000 meters
Step-by-step explanation:
Step-by-step explanation:
1km = 1000m
22km×1000
22000
Simplify and factor the expression 9(4p-2) - 4(3p-2)
Answer:
24p - 10
Explanation:
-6y = -72 help!!!! PLZ
Answer: y = 12
Step-by-step explanation:
Divide both sides by -6
y = -72/-6
Two negatives make a positive.
y = 72/6
Simplify 72/6 to 12
y = 12