2+4a=-10
First, subtract 2 from both sides.
4a=-12
Then divide 4 from both sides.
a=-3
hope it helps!
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
travel earns $25 a day working afther school at the supermarket. how much money will he earn in d days
Answer:
Hi!
Your answer is:
25d
Since we aren't aware of how many days he is working, we substitute a variable (d) in for it!
I hope this helps!
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
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 :)
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]
Solve for x: 3(x + 1) = −2(x − 1) − 4
Answer:
x=
−3
2
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x+1)=−1(x−1)−4
Step 1: Simplify both sides of the equation.
3(x+1)=−1(x−1)−4
(3)(x)+(3)(1)=(−1)(x)+(−1)(−1)+−4(Distribute)
3x+3=−x+1+−4
3x+3=(−x)+(1+−4)(Combine Like Terms)
3x+3=−x+−3
3x+3=−x−3
Step 2: Add x to both sides.
3x+3+x=−x−3+x
4x+3=−3
Step 3: Subtract 3 from both sides.
4x+3−3=−3−3
4x=−6
Step 4: Divide both sides by 4.
4x
4
=
−6
4
x=
−3
2
Can I get some help on this please:/
Answer:
C
Step-by-step explanation:
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
how to classify 17/10
The number [tex]\frac{17}{10}[/tex] is a rational number.
Type of numbers :It is defined as, any number that can be represented in [tex]\frac{p}{q}[/tex] form, where p and q are integers and [tex]q\neq 0[/tex].
Irrational number is defined as any number that can not be represented in [tex]\frac{p}{q}[/tex] form.
Given number is, [tex]\frac{17}{10}[/tex] which is in [tex]\frac{p}{q}[/tex] form and p and q are integers.
Thus, The number [tex]\frac{17}{10}[/tex] is a rational number.
Learn more about the rational number here:
https://brainly.com/question/1535013
Solve for x. X-8 = -20 12 -28 28 2-12
Answer: x = − 10
Step-by-step explanation:
X − 8 = − 20 =
12 − 28 = − 16
28 = − 16
2 − 12 = − 10
x = − 10
I don't understand this or i dont know the answer
Answer:Not clear
Step-by-step explanation:
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
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,
brainly.com/question/26974513
#SPJ2
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]
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
Reduce the most possible thx <3
Answer:
1/2
Step-by-step explanation:
To make this a equal fraction we have to make the denominator(the bottom) the same
So the fraction would be multiplied by 2 = 10/6
Now we add 10/6 by -7/6
This is the same thing as 10/6 - 7/6 which is 3/6
Now we simplify 3/6. 1/2
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?
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.
1.3 + (+3) -
-2 + (3) =
Answer: 9.3
Step-by-step explanation:
Answer:
5.3 is the correct answers there you go enjoy
What is the conjecture of 1, 8, 27, 64, __, __, __, __, __, what is the pattern?
Answer:
The pattern = 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,
The answer = 1, 8, 27, 64, 125, 216, 343, 512, 729,
Step-by-step explanation:
what is the pattern?
We are given the following sequence:
1, 8, 27, 64, __, __, __, __, __,
Observing the sequence above, for every consecutive natural number
x, x + 1, x + 2, x + 3.......
The above pattern is : the cube of every consecutive natural number. That is: x³, (x + 1)³, (x + 2)³, (x + 3)⁴
1, 8, 27, 64, __, __, __, __, __,
= 1³, 2³ 3³, 4³, 5³, 6³, 7³, 8³, 9³,
Hence, the answer
1, 8, 27, 64, 125, 216, 343, 512, 729,
True or False. The graph below is a function. -10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 + -4 -6- -8 -10 True False
Answer:
false
Step-by-step explanation:
numbers are repeating
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.
if 3x+k 2x+9 x+13 are three consecutive terms of an ap fine k
Step-by-step explanation:
Since there are in arithmetic progression, 2(2x + 9) = (3x + k) + (x + 13).
=> 4x + 18 = 4x + 13 + k
Hence k = 5.
Write a multiplication equation that the model
represents.
Answer:
5 x 3 =
Step-by-step explanation:
Length times width.
The multiplication equation represented by the model is 5 x 3.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The model has 5 rows and 3 columns shaded. The multiplication equation will be written below,
Multiplication equation = 5 x 3
To know more about multiplication follow
brainly.com/question/10873737
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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 total length of a vehicle is 205.83 inches. What is the length of the vehicle rounded to the nearest whole number?
A. 200 in B. 205 in C. 206 in D. 210 in
Answer:
If rounded up by the nearest whole number, it'd be 210, because it isn't using the decimal numbers, and the whole number would get the boot, meaning only 200 and 10 would remain. Please let me know if this helped.
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).
graph the area bounded by y =12, x>=0 and x<=12
Answer:
Graph.
y=12
x>=0
x<=12
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
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.