Mary drove 4 hours to reach her camping spot. She increased her speed by 15 miles per hour reducing her travel time by one hour. How fast did she drive going to the camping spot?
Answer:
45 miles per hour
Step-by-step explanation:
Mary drove 4 hours to reach her camping spot. Driving home, she increased her speed by 15 miles per hour, reducing her travel time by 1 hour. How fast did she drive going to the camping spot?
d = rt
Where,
d = distance
r = rate of speed
t = time
Going to the camping spot
d=rt
Where, t = 4 hours
d = r × 4
d = 4r (1)
Driving home
She reduced her travel time by 1 hour
That is t = 4 -1 = 3 hours
Then increased speed by 15 miles per hour
That is r = r + 15
d=rt
d = (r+15) × 3
d = 3r + 45 (2)
Equating the two equations
4r = 3r + 45
Collecting like terms
4r - 3r = 45
r = 45
r = 45 miles per hour
check:
d = 4r
d = 45*4
=180 miles
d = 3r + 45
d = 3*45 + 45
= 135 + 45
=180 miles
graph the area bounded by y =12, x>=0 and x<=12
Answer:
Graph.
y=12
x>=0
x<=12
Solve for y: 2x + 5y =-10 Write your answer in slope-intercept form.
Answer:m= 2/5
Step-by-step explanation:
Whats the answer to this one?
Need help on 12 please!
Answer:
False
Step-by-step explanation:
√10 * 3 = 3√10
√10 * 3 does not equal √30
Ahaahhhahhahhahahaha help
Answer:
Im pretty sure its 8.
Step-by-step explanation:
32/1 x 1/4= 32/4 = 8
If im right please give me brainliest :)
Solve the equation-3y = 21 using inverse operations. What is the inverse operation step? What is the solution?
Answer:
Y=-7
Step-by-step explanation:
The solution to the equation -3y = 21 is y = -7.
To solve the equation -3y = 21 using inverse operations, we want to isolate the variable y by performing the inverse operation.
Now, the inverse operation of multiplication by -3 is division by -3.
By dividing both sides of the equation by -3, we can isolate y.
Let's perform the inverse operation:
(-3y) / -3 = 21 / -3
y = -7
Therefore, the solution to the equation -3y = 21 is y = -7.
Learn more about Equation here:
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Janie uses a reflecting tool to reflect Point B onto Point A. Which of the following statements are true/false about the line of reflection?
Reflection line is perpendicular to AB. (T/F) true
Reflection line does not bisect AB. (T/F) false
Reflection line passes through the midpoint of BA. (T/F) true
Reflection line forms two equal angles with segment AB. (T/F)true
Answer:
1. True 2. False 3. True 4. True
Step-by-step explanation:
Answer:
You are right
Step-by-step explanation:
You are right
Need 13&14!! ASAP, will put Brainliest
Answer:
13- A 14-B
Step-by-step explanation:
You take the formula (x1+x2/2, y1+y2/2) and plug in accordingly. For instance, when you plug the values in for 13, you would get:
x1+-9/2, y1+7/2= -8,2
All you have to do from there is a simple guess and check or plug in each number from the multiple answer choices you have. You should then get A (-7,-3) Do the same with 14, in which you should get B (11,-20)
Sorry for taking so long to answer but hope this kind of helps.
Malon owns a corn field and has placed fences around four polls, A, B, C, D that delimit the edges of the field. He needs to drive around the field every day to check whether anybody has tried to break in. The four poles are located at:
A (6,5)
B (16,5)
C (16,-4)
D (6,-4)
How many miles will Malon drive if he starts at pole A and drives around the entire border of the field?
1.3 + (+3) -
-2 + (3) =
Answer: 9.3
Step-by-step explanation:
Answer:
5.3 is the correct answers there you go enjoy
I don't understand this or i dont know the answer
Answer:Not clear
Step-by-step explanation:
Which of the following is a proportion? 9/12= 8/10 3/4= 9/12 6/8= 8/12 12/18= 9/16
Answer:
It would be 3/4=9/12
Step-by-step explanation:
The proportion relationship of the given ratios is 3/4= 9/12 thus option (B) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
In the fractions, 3/4
Multiply by 3 on the numerator and denominator.
3/4 x 3/3 = 9/12
3/4 x constant = 9/12
Remove constant.
3/4 ∝ 9/12
Hence "The proportion relationship of the given ratios is 3/4= 9/12".
For more information about ratios and proportions,
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20 is 60% of what number
Answer:
33.33
Step-by-step explanation:
60% of 33.33 is 20. 100% of 33.33 is 33.33, therefore 60 percent of 33.33 equals 20.
Answer:
[tex] \huge{ \boxed{ \tt{33.33}}}[/tex]
Step-by-step explanation:
[tex] \star{ \: \sf{ \: Suppose, \: the \: number \: be \: x}}[/tex]
[tex] \star \: \sf \: Create \: an \: equation \: and \: solve \: for \: x[/tex]
[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]
[tex] \sf{ \: 60\% \: \: of \: \: x \: = 20}[/tex]
[tex] \text{Step \: 1} : \sf{ \: Convert \: percentage \: ( \%) \: into \: fraction}[/tex]
[tex] \sf{To \: do \: so, \: Divide \: it \: by \: 100 \: and \: remove \: the \: \% \: symbol. \: }[/tex]
[tex] \sf{Then, \: Simplify \: the \: fraction \: to \: its \: lowest \: term.}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{60}{100} x = 20}}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{ \cancel{60} ^{ \: \: 3} }{ \cancel{100} \: ^{ \: 5} } x = 20}}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{3}{5}x = 20}} [/tex]
[tex] \hookrightarrow{ \sf{0.6x = 20}}[/tex]
[tex] \text{Step \: 2} : \sf{Divide \: both \: sides \: by \: 0.6}[/tex]
[tex] \hookrightarrow{ \sf{ \frac{0.6x}{0.6} = \frac{20}{0.6}}} [/tex]
[tex] \text{Step \: 3} : \sf{Calculate}[/tex]
[tex] \hookrightarrow{ \sf{x = 33.33}}[/tex]
The required number is 33.33
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl} [/tex]
5(x - 2) + 2x = 11 can someone help me solve
Answer:3
Step-by-step explanation:5(x-2) +2x=11
5x-10+2x=11
7x-10=11
7x=21
X=3
Please help me, its due today!!!
Answer:
532$
Step-by-step explanation:
14% of 600 is 84 $
14% of 1200 is 168$
140 per day and there is 2 days so 140x2
add them all up and you get 532
Hana made $126 for 7 hours of work.
At the same rate, how many hours would she have to work to make 216?
Answer:
12 hours
Step-by-step explanation:
126 dollars / 7 hours of work = 18 dollars per hour (Pretty neat honestly)
So she made 216 dollars / x = 18 dollars per hour
18x=216 (cross multiply)
216/18 = 12 hours of work
Answer: 12 hours
Step-by-step explanation:
It takes her 7 hours to make $126 dollars and we need to find out how many hours(a) to make $216
So this is the equation
7 hours= 126 dollars
a hours= 216 dollars
Cross multiply
126 x a = 7 x 216
126a = 1512
Divide both sides by 126
a= 12 hours
~~~Inuola1234
For the hiking portion of your trip, you and your friends carry the same amount of
equipment, which works out to 35 pounds of equipment each. For extra money, you can
hire an assistant, who will carry 50 pounds of equipment. Each assistant charges a flat
fee of $50 and an additional $22 for each mile. The total amount you would have to pay
1 assistant is $512. How many miles will your group be hiking?
Answer:
28 miles
Step-by-step explanation:
subtract the pay to the additional pay
The super speedway at Daytona International Speedway is 2.5 miles long. The road course there is 1.4 times as long as the super speedway. How long is the road course?
Answer:
3.5 miles
Step-by-step explanation:
From the question, we have the following information:
The super speedway at Daytona International Speedway is = 2.5 miles
long
The road course there is = 1.4 times as long as the super speedway.
How long is the road course?
The length of the road course is calculated as:
1.4 × length of the super speedway
1.4 × 2.5 miles
=>3.5 miles
Therefore, length of the road course I s 3.5 miles.
plz some1 help my sister out ! thank you :)
Answer:
0.8
Step-by-step explanation:
24 divided by 30 = 0.8
That is 80% of the days.
As a decimal though, it is 0.8.
Hope this helps!
Which property would you use first, in solving the equation -4/5x = -2?
Answer:
Multiplying each side by the denominator
Step-by-step explanation:
the sum of seven and the product of two and a number x
Answer:
7 + 2xStep-by-step explanation:
the product of two and a number x is 2•x
so the sum of seven and the product of two and a number x is:
7 + 2x
f(x)=-2 find x if f(x)= 32= 11
help
Answer:
B
x = -17
Step-by-step explanation:
so essentially what it is saying is that x = -2
SO
3(-2) - 11
-6 - 11
-17
Find a fraction in between 21/34 and 34/55
Answer:
A fraction between that is 2311/3740
Step-by-step explanation:
This is because the denominator is simplified into one number and the fraction is taken from there.
2311/3740
Step-by-step explanation:34 = 2×17
55 = 5×11
LCM = 2×5×11×17 = 1870
⁵⁵⁾21/34 = ²⁾1155/1870 = 2310/3740
³⁴⁾34/55 = ²⁾1156/1870 = 2312/3740
2310/3740 < 2311/3740 < 2312/3740
1. N - 80 = 40 2. 15n = 30 3. N + 284 = 350 4. 6 + 9 = 3 x n 5. N divided by 3 = 6 +1 6. 12 - 8 = n divided by 5 7. 58 x 6 = n - (723 + 327) 8. 4n + 12 = (7 + 9) x 2
Answer:
1. [tex]N=120[/tex]
2. [tex]n=2[/tex]
3. [tex]N=66[/tex]
4. [tex]n=5[/tex]
5. [tex]N=21[/tex]
6. [tex]n=20[/tex]
7. [tex]n=1398[/tex]
8. [tex]n=5[/tex]
Step-by-step explanation:
1.
[tex]N-80=40[/tex]
[tex]N=40+80[/tex]
[tex]N=120[/tex]
2.
[tex]15n=30[/tex]
[tex]\dfrac{15n}{15}=\dfrac{30}{15}[/tex]
[tex]n=2[/tex]
3.
[tex]N+284=350[/tex]
[tex]N=350-284[/tex]
[tex]N=66[/tex]
4.
[tex]6+9=3\times n[/tex]
[tex]15=3n[/tex]
[tex]\dfrac{15}{3}=n[/tex]
[tex]n=5[/tex]
5.
[tex]\dfrac{N}{3}=6+1[/tex]
[tex]\dfrac{N}{3}=7[/tex]
[tex]N=7\times 3[/tex]
[tex]N=21[/tex]
6.
[tex]12-8=\dfrac{n}{5}[/tex]
[tex]4=\dfrac{n}{5}[/tex]
[tex]4\times 5=n[/tex]
[tex]n=20[/tex]
7.
[tex]58\times 6=n-(723 + 327)[/tex]
[tex]348=n-1050[/tex]
[tex]348+1050=n[/tex]
[tex]1398=n[/tex]
8.
[tex]4n+12=(7+9)\times 2[/tex]
[tex]4n+12=16\times 2[/tex]
[tex]4n+12=32[/tex]
[tex]4n=32-12[/tex]
[tex]4n=20[/tex]
[tex]n=\dfrac{20}{4}[/tex]
[tex]n=5[/tex]
Therefore, the solutions are 1. [tex]N=120[/tex]
2. [tex]n=2[/tex]
3. [tex]N=66[/tex]
4. [tex]n=5[/tex]
5. [tex]N=21[/tex]
6. [tex]n=20[/tex]
7. [tex]n=1398[/tex]
8. [tex]n=5[/tex]
Answer:
HE IS RIGHT
Step-by-step explanation:
2(4s-16)-5s= -5 What is S?
Answer:
s=9
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*(4*s-16)-5*s-(-5)=0
Pull out like factors :
4s - 16 = 4 • (s - 4)
Pull out like factors :
3s - 27 = 3 • (s - 9)
3 • (s - 9) = 0
Solve : s-9 = 0
Add 9 to both sides of the equation :
s = 9
Idk if this is confusing but I know the answer.
If f(x)=x+1, find f(x+10).
Answer:
x + 11
Step-by-step explanation:
Substitution!
Since you're trying to find f(x+10), you would replace each x in the equation (in this case only one) with x+10.
So instead of
[tex]x+1[/tex]
it would be
[tex](x+10)+1 = x + 10 + 1 = x + 11[/tex]
Helppppp meeee:((((
Estimation
Fruit Prices
Karla is making fresh grape jelly. She buys 18.7
pounds of grapes
Cost (per pound)
Estimate the total cost.
$2.78(18.7)
ples
$1.89
Karla will spend about
on grapes
$5.28
$19
$36
$40
$278
$60
Answer:
Karla will spend $60 on grapes.
Step-by-step explanation:
Answer:Karla is making fresh grape jelly. She buys 18.7 pounds of grapes.
Estimate the total cost.
$2.78(18.7)
Karla will spend about
$60
on grapes.
Step-by-step explanation:i did the test
Solve the inequality 6x – 8 > 4x + 26.
Ox<9
Ox< 17
Ox>9
Ox> 17
Answer:
The answer is x>17
Step-by-step explanation:
First subtract 4x from both sides
6x - 8 > 4x + 26
-4x. -4x
2x - 8 > 26
8 is negative so to get rid of it add 8 to -8 and 26
2x - 8 > 26
+8. +8
2x > 34
x needs to be by itself so divide both sides by 2
2x > 34
2. 2
x > 17
Help asap!!! I really need help on this
Step-by-step explanation:
The function is positive when the graph is over the x-axis, and negative when the graph is under the x-axis.
As we can see from the graph, it has x-intercepts at x = -3 and x = 3.
Since the graph curves upwards, the function is positive in intervals (-∞, -3) U (3, ∞) and negative in the interval (-3, 3).
