Answer:
25 + 0.55x ≤ 212
Step-by-step explanation:
Bart can only spend 212, hence the less than or equal to symbol. The cost of using the car must be at most 212, so 25 and 0.55x are on the same side. 0.55x represents the cost of driving an unknown amount of miles.
Solve each equation. For each step. Identify the property used.
14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7
(P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)
Answer:
Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2
Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1
Step-by-step explanation:
We will solve the equations one by one
So,
[tex]14 + 3n = 8n - 3(n-3)[/tex]
Applying Distributive property
[tex]14 + 3n = 8n - 3n+9\\14+3n = 5n+9[/tex]
Subtraction property of equality (Subtracting 14 from both sides)
[tex]14+3n-14 = 5n+9-14\\3n = 5n-5[/tex]
Subtraction property of equality (Subtracting 5n from both sides)
[tex]3n-5n = 5n-5-5n\\-2n = -5[/tex]
Division property of equality (Dividing both sides by -2)
[tex]\frac{-2n}{-2} = \frac{-5}{-2}\\n = \frac{5}{2}[/tex]
Second Equation:
[tex]22x + 11 = 4x - 7[/tex]
Subtraction property of equality (Subtracting 11 from both sides)
[tex]22x + 11-11 = 4x - 7-11\\22x = 4x-18[/tex]
Subtraction property of equality (Subtracting 4x from both sides)
[tex]22x-4x = 4x-18-4x\\18x = -18[/tex]
Division property of equality (Dividing both sides by 18)
[tex]\frac{18x}{18} = \frac{-18}{18}\\x = -1[/tex]
Hence
Solution of [tex]14 + 3n = 8n - 3(n-3)[/tex] => x = 5/2
Solution of [tex]22x + 11 = 4x - 7[/tex] => x=-1
Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why?
Answer:
Because we actually divide by 10 when a number is multiplied by 0.1.
Step-by-step explanation:
Let [tex]a[/tex] be a number.
When we multiply a number by 10:
[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)
For example:
[tex]23 \times 10 = 230[/tex]
Considering a decimal number:
[tex]2.3 \times 10 = 23[/tex]
Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.
[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]
Considering a decimal number:
[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]
Therefore, When multiplying a number by 0.1, move the decimal to the left.
Answer:
Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.
Step-by-step explanation:
hope this helps
A circular garden has a diameter of 8 feet, and a rectangular garden has side lengths of 5 feet by 9 feet.
find the difference in square feet between the two gardens
Answer:
rectangular
Step-by-step explanation:
Answer:
The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.
Step-by-step explanation:
i hope this helps!
A surveyor is surveying a street. The surveyor is standing at point Plooking down the street at a No Parking sign at point A and a stop sign at point R. Given PA=3x-4, PR=21 meters, AR=7 meters and point A is between point Rand point What is the value of x in meters?
Answer:
Step-by-step explanation:
If point A is between P and R, then;
PA+AR = PR
Given
PA=3x-4,
PR=21 meters,
AR=7 meters
Substitute
3x-4 +7 = 21
3x+3 = 21
3x = 21-3
3x =18
x =18/3
x = 6
Hence the value of x is 6m
Need help in math ASAP
Answer:
B
Supplementary means they add to make 180 deg, so solve (4x-8)+(2x+2)=180
Answer:
angle a + angle b=180
4x-8+(2x+2)=180
6x-6=180
6x=180+6
x=186/6
{x=31°}
At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower was 20 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after w weeks?
Answer:
24 inches
Step-by-step explanation:
WHO WOULD WIN IN A FIGHT?
A SHAOLIN MONK vs A NAGA SADHU
Answer:
Shaolin Monk
Step-by-step explanation:
They are epic gamers. no but fr
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. Explain your reasoning.
5 meters and 22 meters.
19 inches and 60 inches.
33 centimeters and 80 centimeters.
Answer:
19 inches and 60 inches
Step-by-step explanation:
The number of avocados ( a ) (a) a particular tree produces each year can be modeled by the function a ( y ) a(y). What does a ( 12 ) = 364 a(12)=364 mean?
Answer:
[tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.
Step-by-step explanation:
Let [tex]a[/tex] the number of avocados that a particular tree produces at a year. [tex]a(y)[/tex] is the number of avocados that a particular tree produces at y-th year. Hence, [tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.
How many bottles did eric buy for his friends
Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details
Step-by-step explanation:
Given: m || n and p is a traversal.
Prove: m<2=m<7
What is the missing reason in the proof?
Answer:
Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are congruent.
Please quickly! Out of 5,500 people who attended the football game, fifty-six percent were rooting for the home team. How many people rooted for the home team?
I’m in a test pls help
Use inductive reasoning to write the next two terms in each sequence of numbers.
B.) 720, 180, 360, 90, _____, _____ .
Answer: 180, 45
Step-by-step explanation:
First, you look at the patterns for each numbers, so you can apply the rules for the next two sequences
720 divided by 180 = 4
360 divided by 180 = 2
360 divided by 90 = 4
for the next sequences, you multiply the last number by 2 (90 x 2 =180)
then divide the answer by 4 to get the answer (180 divided by 4 = 45)
so the next two numbers are 180, 45
Mark me as the brainiest answer
Noah said, "Division always results in a smaller number. When you divide a number by a second number, the result will always be smaller than the first number."
Jada said, "I disagree. I think the result can be larger or smaller, depending on the number you are dividing by."
Do you agree with Noah or Jada?
LaTeX: 20\div420÷4 results in a number
[ Select ]
20.
LaTeX: 20\div\frac{1}{4}20÷14 results in a number
[ Select ]
20, so
[ Select ]
is correct.
Answer:
Step-by-step explanation:
Greater, provided the divisor is positive.
It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.
If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).
Help me solve this problem please
Answer:
The answer is B cause thats the slope of the line
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
for starters the equation is:
y = -2/4 + 3
It then simplifies to:
y = -1/2 + 3
Making your answer B.
Ray LN is the perpendicular bisector of segment JK.
15) Find KP.
16) Find JP.
Solve and show your work.
Answer:
ok i think "kp" is 17x but i am not 100% sure
Step-by-step explanation:
Answer: kp
Step-by-step explanation:
which of the following is an arithmetic sequence with common difference 2
A. 1, -3, 5, -7, 9
B. 2, 4, 8, 16, 32
C. 10, 8, 6, 4, 2
D. 13, 15, 17, 19, 21
Answer:
C is the answer.
C has a common difference of "2"
Step-by-step explanation:
You could say that the word "difference" also means Subtraction, so in a simpler way of saying "The common difference of 2" you could say, "Which one of the following is subtracting by 2?"
PLEASE MARK BRAINLIEST
11(p-3)=5(p+3) really need an answer please hahaha
Answer:
P = 8
Step-by-step explanation:
Answer:
p=104/33
Step-by-step explanation:
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy???
Answer: 4 and a half
Step-by-step explanation:
Haley bought 1.6 pounds of almonds for $13.20. How much did she pay per pound for the almonds? Record your answer and fill in the bubbles on your answer document. Be sure to use correct place value. +/- .
Answer:
She paid $8,25 per pound
Step-by-step explanation:
Given
[tex]Weight = 1.6\ lb[/tex]
[tex]Total= \$13.20[/tex]
Required
Determine the amount paid per pound
To do this, we simply divide the amount by the weight of Almonds.
[tex]Amount = \frac{Total}{Weight}[/tex]
[tex]Amount = \frac{\$13.20}{1.6\ lb}[/tex]
[tex]Amount = {\$8.25/\ lb[/tex]
Hence, she paid $8,25 per pound
Peter is painting his bedroom. His bedroom has four walls. Yesterday, he painted 1 2/5 walls. What fraction of the walls is left to paint?
Answer: 2 3/5ths are left or 13/5
Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls
use the distributive property to expand this equation please2/3 (18x + 6z)
Answer:
12x + 4z
Step-by-step explanation:
Given: 2/3 (18x + 6z)
Multiply the fraction 2/3 into each term
([tex]\frac{2}{3}[/tex])*18x + ([tex]\frac{2}{3}[/tex])*6z
[tex]\frac{36}{3}[/tex]x + [tex]\frac{12}{3}[/tex]z
12x + 4z
help please this is hard .
Answer: is A because they are equal
Solve for the variable
-3/4b = 2
Answer:
b = 2.666.......
Step-by-step explanation:
[tex]-\frac{3}{4} b = 2[/tex]
------ -----
[tex]-\frac{3}{4}[/tex] [tex]-\frac{3}{4}[/tex]
b = 2.666.....
EASY BRAINLIEST , What is the equation of the line parallel to the line y = 4 and passing through the point (2, -1)?
Answer:
y = 2
Step-by-step explanation:
Since the line is horizontal, and the line goes through the x-coordinate 2, this is the equation
The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?
Solve the following equation:
a/3.5 - 4.8 = 6.3
a= ______
Answer:
a= 38.85
Step-by-step explanation:
Answer:
[tex]\boxed {a = 38.85}[/tex]
Step-by-step explanation:
Solve for the value of [tex]a[/tex]:
[tex]\frac{a}{3.5} - 4.8 = 6.3[/tex]
-Add both sides by [tex]4.8[/tex]:
[tex]\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8[/tex]
[tex]\frac{a}{3.5} = 11.1[/tex]
-Multiply both sides by [tex]3.5[/tex]:
[tex]a = 11.1 \times 3.5[/tex]
[tex]\boxed {a = 38.85}[/tex]
Therefore, the value of [tex]a[/tex] is [tex]38.85[/tex].
What is the solution to the system of equations below?
y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equations
[tex]y=-6x-10[/tex]
[tex]y=-3x-21[/tex]
solving the system of the equations
Arrange the equation variables for elimination
[tex]\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}[/tex]
[tex]y+3x=-21[/tex]
[tex]-[/tex]
[tex]\underline{y+6x=-10}[/tex]
[tex]-3x=-11[/tex]
[tex]\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}[/tex]
solve
[tex]-3x=-11[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{-11}{-3}[/tex]
[tex]x=\frac{11}{3}[/tex]
[tex]\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y=-32[/tex]
Therefore, the solutions to the system of the equations are:
[tex]y=-32,\:x=\frac{11}{3}[/tex]
But, it seems none of the options is true.
Answer:
A. (2, -22)
Step-by-step explanation:
I just took the test and i got a one hundred! I really hope it helped!!!!
please someone help me please??!!!
Answer:
how should I know?
Step-by-step explanation:
Answer:
a.)
x= -2 , -1, 0, 1, 2, 3
y=8 , 7, 6, 5, 4, 3
and for b just plot the point and then connect them. im not sure how i can show you
Step-by-step explanation:
Jamie tossed a coin 50 times. The coin landed on heads 27 times and landed on tails
23 times. What is the relative frequency of landing on heads?
Answer: 54%
Step-by-step explanation:
The relative frequency of landing on heads is 0.54 or 54%.
Given that Jamie tossed a coin 50 times.
Head showed for 27 times.
Tails showed for 23 times.
We need to find the relative frequency of landing on heads,
The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.
In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.
To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):
Relative Frequency of landing on heads = Number of heads / Total number of tosses
Relative Frequency of landing on heads = 27 / 50
Simplifying this fraction, we get:
Relative Frequency of landing on heads = 0.54
This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.
Therefore, the relative frequency of landing on heads is 0.54 or 54%.
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