Answer:
x = -6
Step-by-step explanation:
-18 + 26 = -2(x + 2)
8 = -2x - 4
12 = -2x
x = -6
The length of a rectangle is (t – 8) units, and its width is ('+ 11) units. Which expression can represent the area of the rectangle?
A 2 - 33 - 88
B. 22 - 33 + 88
C12 + 31 - 88
D I2 +31 +88
Corrected Question:
The length of a rectangle is (t – 8) units, and its width is (t + 11) units. Which expression can represent the area of the rectangle?
Answer:
t² + 3t - 88
Step-by-step explanation:
Given:
Rectangle of;
length = (t - 8) units
width = (t + 11) units
The area A of a rectangle is given by;
A = length x width ----------------------------------(i)
Substitute the given length and width into equation (i) as follows;
A = (t - 8) x (t + 11) [expand the brackets]
A = t² -8t + 11t - 88
A = t² + 3t - 88
Therefore, the area is
(t² + 3t - 88) square units
What value of x makes the equation true? -3x = 18
Answer:
x = -6
Step-by-step explanation:
[tex]-3x = 18\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{18}{-3}\\\\Simplify\\x=-6[/tex]
HELP PLEASE You're taking a scenic road trip down CA-Highway 1 from San Jose, California, to Los Angeles. You plan to split the drive into two days, stopping for one night. Choose one town to stop in, and find the driving distance for the second day. 1. Circle the town you chose to stop in. (1 point) Santa Barbara San Luis Obispo 2. Why did you choose this town? (1 point) 3. Define the variable. 4. What is the variable x for this problem? (1 point) Write the equation. 5. Write an equation showing that the distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles. (4 points: 2 points for each side of the equation) Isolate the variable. 6. What inverse operation do you need to perform on both sides to isolate x in the equation? (2 points: 1 point for the correct number, 1 point for the correct operation) Solve the equation. 7. Solve the equation for x. Interpret the answer in terms of the problem. (2 points: 1 point for the solution, 1 point for the interpretation) Check your solution. 8. To confirm that your answer is correct, add the two days' distances. This should equal the total distance from San Jose to Los Angeles. Show your work as an equation. (3 points: 1 point for the setup, 2 points for the correct answer) 9. Your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon on this winding road. To be sure you don't run out of gas, you never want to have less than 1 gallon in the tank. You start with a full tank of gas. Will you need to stop for gas during the first day's drive? Explain how you know, and show your work. (5 points: 3 points for calculating the distance you can go before refilling, 2 points for determining whether you need to stop) 10. You decide to visit San Diego next. You plan to start your trip around 7:00 a.m. There are two suggested routes from Los Angeles to San Diego. Route 1: Using Interstate 15, the trip is 125 miles and you should average 48 miles per hour. Route 2: Using Interstate 5, the trip is 100 miles and you should average 36 miles per hour. (Driving on Interstate 5 at 7 a.m. is no picnic!) Write and solve equations to find the amount of time each route will take. Which route is faster? How many minutes faster is that route? Round answers to the nearest hundredth. (5 points: 2 points for writing correct equations, 1 point for solving the equations, 1 point for identifying the faster route, 1 point for finding how many minutes faster that route is)
Answer:
((I do not have the answers for one, two, or four))
3.)
•What do you know?
-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.
•What do you want to find out?
-How many miles it is from Santa Barbara to Los Angeles.
•What kind of answer do you expect?
-If using variable, I expect that I will get the number of miles from one city to the other.
5.)
425 = 320 + X
6.)
425 = 320 + X
Subtract 320 from both sides.
7.)
X = 105
From Santa Barbra to Los Angeles it is 105 miles.
8.)
320 + 105 = 425
The scale of a map is 1 : 100,000. The distance between two houses on the map is 3.2 cm. Find the actual distance, in kilometers, between the two houses?
Answer:
The actual distance between the two houses is:
3.2 km
Step-by-step explanation:
Proportions:
1cm ⇔ 100000 cm
3.2 cm ⇔ W cm
W = 3.2*100000/1
W = 320000 cm
1 km = 100000 cm
320000cm = 320000/100000 = 3.2km
Find the circumference of a circle with radius of 6ft
Answer:
If the radius of your circle is 3 feet, for example, its diameter is 3 × 2 = 6 feet; and the circumference is then 6 × 3.14 = 18.84 feet, or 6 × 3.1415 = 18.849 feet if you're asked for a more exact answer.
Step-by-step explanation:
Answer:
37.7 ft
Step-by-step explanation:
C = 2 pi r
The circumference = 2 pi (6) = 12 pi = 37.7 ft
9(x+3)=4x-3 can you guys help look for x
Answer: x=-6
Step-by-step explanation:
9(x+3)=4x-3
9x+27=4x-3 ⇔ distributive property (take off parentheses)
5x+27=-3 ⇔ subtraction property of equality (subtract 4x on both sides)
5x=-30 ⇔ subtraction property of equality (subtract 27 on both sides)
x=-6
Hope this helps!! :)
Please let me know if you have any question
Answer:
simplify both sides and get 9x+27=4x+−3 then subtract 4x and get 5x+27=−3 and subtract -27 and divide answer by 5 to get x=-6
what is the answer to -1/8-2/7
Answer:
-23/56
Step-by-step explanation:
-1/8-2/7
= -7+8×-2
----------------
8×7
=-7-16/56
=-23/56
BTW. . This method is called the butterfly method.. in which we must cross multiply the numerators and denominators.. and multiply the denominator together (if they are co-primes) to get the LCM in the denominator of the sum..
Write an equation of line in point slope form containing (-1,1) and (4,-9)
Help!!!!!!!!!!!!!!!!!
9Answer: Y-1=-2(X+1) OR Y+9 = -2(X-4)
Step-by-step explanation:
Point slope form is Y-Y1=m(X-X1)
Slope (M) is (Y2-Y1)/(X2-X1)
SO M= (-9-1)/(4--1)
-10/5
M= -2
Answer:
y - 1 = -2 (x + 1)
Explanation:
point slope form: (y - y1) = m (x - x1)
m is the slope. To find m the formula is:
(y2 - y1) / (x2 - x1)
The given ordered pairs are: (-1,1) and (4,-9)
y2 is the y in the second ordered pair (-9)
y1 is y in the first ordered pair (1)
x2 is x in the second ordered pair (4)
x1 is x in the first ordered pair (-1)
= (-9 - 1) / (4 +1)
= -10/5
m = -2
Now plug m (-2), y1 (1), and x1 (-1) into the point slope form
y - 1 = -2 (x - -1)
y - 1 = -2 (x + 1)
Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).
Area =
Perimeter =
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the
sandbox. Round to the nearest tenths place.
Answer:
8.7
Step-by-step explanation:
Since a square has equal side lengths, the formula for area is s^2, where s stands for side. Since we are given the area, s^2=75 square feet. Take the square root of both sides to get s is equivalent to the square root of 75 square feet. When this becomes a decimal, it is 8.66 feet. Since we are supposed to round to the nearest tenths, it rounds up to 8.7 feet per side length
Pam has 35 bags of coins. Some of the bags contain 6 gold coins, and the rest contain 8 silver coins. If Pam has 240 coins in all, how many bags of each type of coin does Pam have?
Answer:
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.
You use the equation $y=0.18x$ to calculate the tip $y$ (in dollars) that you add to a bill for $x$ dollars. a. Solve the equation for $x$ . The rewritten equation is $x=$ . b. Find the amount of the bill (not including tip) when your tip is $4.95. The bill is $\$$ .
Answer:
Step-by-step explanation:
Given the equation y = 0.18x, to solve for x, we will make the variable x as the subject of the formula from the equation given.
From the equation y = 0.18x
Divide both sides by the coefficient of x i.e 0.18
y/0.18 = 0.18x/0.18
y/0.18 = x
Hence the function of the variable x = y/0.18
b) Given the amount of the bill as y and x is the tip in dollars.
Given y = $4.95, we are to substitute the value of y = $4.95 into the resulting function in (a) to get x as shown;
Since x = y/0.18
x = $4.95/0.18
x = $27.5
Hence the bill is $27.5
someone answer this for me please ..
Answer: 9 times as large
Step-by-step explanation:
the original area: 15×15=225
the new area: (15×3)(15×3)=2025
2025/225=9
Hope this helps!! :)
Please let me know if you have any question
If a dozen cookies cost $18, what is the cost for 18 cookies
What i did is. First i divided the cost of a dozen. And i took of a dozen of 18 (your cookies) and was left with 6 cookies. i also was left with 9 after dividing so if you add 6+9 so your answer is 15
Answer: For 18 cookies, the cost is 27 dollars.
Step-by-step explanation:
So we are given that:
a dozen cookies cost $18
And we have to find how many 18 cookies cost. We can solve this problem by finding the ratio, or fraction of dollars per cookie or cookie per dollars.
12 cookies 6 2
---------------- = ----------- = ------------- So this means 2 cookies per 3 dollars.
18 dollars 9 3
Now if you increase the numerator by 9 (the numerator is cookies) and you find that there are 18 cookies, then how much money is there to pay?
This can be found by increasing the denom. by 9 as well:
3 x 9 = 27
So then the cost is 27 dollars, and that is how much you have to pay.
Expand the expression using the distributive property. 2(5x – 3)
Answer:
10x-6
Step-by-step explanation:
Factorise completely; 35y+5y-8
Answer:
40y-8
8(5y-1) is the answer
If the length is increased by 5 feet the area of the resulting rectangle is 60 square feet.what is the area of the original rectangle
Answer: No because my teacher told me so
Step-by-step explanation: A
You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. Three times, you randomly pick up a drink for your grandmother. The first time, you get a Cherry Coke. The second and third times, you get Dr. Pepper. What is the probability of getting Dr. Pepper the fourth time and then an Cherry Coke the fifth time without replacement?
Answer:
Probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Probability of getting a cherry coke the fifth time = [tex]\frac{1}{3}[/tex]
Combined probability = [tex]\frac{1}{21}[/tex]
Step-by-step explanation:
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
It is given that first time a Cherry coke is chosen and it is not replaced.
So, number of cherry coke left = 2
Dr. Pepper is chosen twice and is not replaced, so
Number of Dr. Pepper left = 3 - 2 = 1
Total number of soda left = 10 - 3 = 7
So, probability of getting Dr. Pepper the fourth time = [tex]\frac{1}7[/tex]
Now, total number of soda left = 7 - 1 = 6
Probability of getting a cherry coke the fifth time = [tex]\frac{2}{6} = \frac{1}{3}[/tex]
The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time
[tex]\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}[/tex]
Klay's lunch cost $6. This is $2 less than Ella's lunch cost. How much did
Ella's lunch cost? Select the correct solution method below, using x to
represent the cost of Ella's lunch.
Answer:
$4x
Step-by-step explanation:
$6 - $2 = $4
$4x
Answer:
X=6+2
Step-by-step explanation:
5x + 4x - x
9x
Explain mistake:
Correct answer:
2(x + 5)
2x + 5
Explain mistake:
Correct answer:
5 - (x - 2)
5 - x - 2
3 - x
Explain mistake:
Correct answer:
-3(2x - 5)
-6x - 15
Explain mistake:
Correct answer:
2x + 3 + 4x
9x
Explain mistake:
Correct answer:
x + 3x + 6x
[tex]10x {}^{2} [/tex]
Explain mistake:
Correct answer:
P has coordinates (2,4). Q has coordinates (-10,12). Find the midpoint of PQ.
Answer: (-4,8)
Step-by-step explanation:
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Plug in the values then divide, I assume you know how to divide.
Divide by 2, Simplify
[tex]\left(\frac{-10+2}{2},\:\frac{12+4}{2}\right)[/tex]
= (-4,8)
Compare 3.7777 and 3.77. Use the inequality symbols < and > to write two inequality
statements using the given numbers that are true.
Answer:
3.7777 > 3.77 or 3.77 < 3.7777
Please help me please Please
Answer:
see explanation
Step-by-step explanation:
The integers between - 4 and 4 are
- 3, - 2, - 1, 0, 1, 2, 3
Note this does not include - 4 and 4
(2)
Integers less than - 10 are
-11, - 12, - 13, - 14 , ....
5x + 3 = 7x – 1. sove for x,
Answer:
x = 2
Step-by-step explanation:
[tex]5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2[/tex]
6. Ken has set a daily jogging goal for himself of 3 miles. For four days of the week he has not met his daily goal. These are the percentages of his daily goal that he did achieve: day 1: 85%, day 2: 80%, day 3: 90%, day 4: 90%. How many miles must her run on the fifth day so that he can have achieved his goal over a 5-day period?
Answer:
Very tough question. Oh I was just kidding but first increase points then I will answer
I’m confused how do you simplify 25-9
Answer:
do you mean subtract?
Step-by-step explanation:
On the Venn diagram, which would be classified as an IRRATIONAL number?
Answer:
The correct answer is B. 2π
Step-by-step explanation:
A rational number is one that can be represented using a fraction and an irrational number cannot be represented using a fraction.
-√4 = -2, which is a rational number
2π is not a rational number (we cannot express pi as a fraction exactly even though there are some close approximations)
2.2121... is also a rational number because it can be expressed as a fraction (21/99, or 7/33 simplified)
√225 is 15, which is a rational number
Therefore, the only irrational option is option B. 2π, which is your answer.
Hope this helps!
ally spent half of her weekly allowance at the movies. to earn more money her parents let her clean the windows in the house for $7. what is her weekly allowance if she is left with $12?
Answer: Her weekly allowance is 24 dollars
Step-by-step explanation:
If she is left with $12 spending half of her weekly allowance the we could set up the equation.
1/2 of x = 12 where x is her weekly allowance.
1/2x = 12
x = 24
what is the answer for -(2n-b)=-2
Answer:
b=2n−2
Step-by-step explanation:
Distribute -1 to every term in the parentheses:-2n+b=-2
Add 2n to isolate b
You might want to specify which variable you are solving for...
The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a volume of cubic centimeters
Answer:
B and C
Step-by-step explanation:
We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.
Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.
Option A has 15 cubes = 15 cm³ in volume
Option B has 10 cubes = 10 cm³ in volume
Option C has 10 cubes also = 10 cm³ in volume
Option D has 12 cubes = 12 cm³
The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.
Answer:
asdxfcghvjbnkmawerstyuijo
Step-by-step explanation:
MAKE ME BRAINLIEST OR YO GAY