Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
ax² + bx + c = 0 (standard form)
Answer:
x² + 3x = 8
Step-by-step explanation:
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:
Expand the expression using the distributive property. 2(5x – 3)
Answer:
10x-6
Step-by-step explanation:
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
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..
Please show all work and not just the answers.
Answer:
√113
Step-by-step explanation:
As per distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Points are:
A(-4, -3) and B(3,5)So the distance:
d = [tex]\sqrt{(3+4)^2 + (5+3)^2}[/tex] = [tex]\sqrt{7^2 + 8^2}[/tex] = [tex]\sqrt{49+64} = \sqrt{113}[/tex]Answer is √113
Answer:
√113
Step-by-step explanation:
B(3,5) , A(-4,-3)
distance between 2 points : d
d=√(x2-x1)²+(y2-y1)²
d=√(3-(-4)²+(5-(-3)²
d=√7²+8²
d=√49+64
d=√113
1.5
Is this number rational or irrational
Answer:
Rational.
Step-by-step explanation:
Many floating point numbers are also rational numbers since they can be expressed as fractions. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction.
7/15 in decimal form
Answer:
0.46666666666667
Step-by-step explanation:
You could use long division, and see that 7/15 = 0.46666666667.
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
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...
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answer:
26 m and 20 m
Step-by-step explanation:
Let the length of the room be l, the breadth be b and perimeter be P.
Given:
P/2 = 46 ml = b + 6 mSolutionSince P = 2(l + b), P/2 = l +b, we have following equations:
l + b = 46l = b + 6Substituting l in first equation:
b + 6 + b = 462b + 6 = 462b = 40b = 20 mThen the length is:
l = b + 6 = 20 + 6 = 26 mThe 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]
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
I’m confused how do you simplify 25-9
Answer:
do you mean subtract?
Step-by-step explanation:
Given x=-3, y=6, and z=-4 22-3y+4x=
Answer: -8
Explanation: It's a good idea to get into the habit of using parenthses
when substituting numbers in for variables.
Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).
3(6) is 18 so we have 22 - 18 + 4(-3).
4(-3) is - 12 so we have 22 - 18 + -12.
Now, 22 - 18 is 4 and 4 + -12 is -8.
Answer:
-8
Step-by-step explanation:
Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8
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!
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]
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.
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
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]
Can you trace this figure without
lifting your pencil from the paper
and without retracing any line?
Trace through your answers to
the exercises in the order they
are given.
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
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:
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.
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
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
HELPPPPP MEEEEE I WIIILLLLL GIVVVEEE BBRRRAIINNNNNLLLLIEEESTTTT!!!!! I pay $2.25 per gallon of gasIf I get a drink they take $.50 per gallon . What is my cost if I get 10 gallons of gas?
Answer:
$17
Step-by-step explanation:
10 x 2.25 = 22.5
10 x .50 = 5
22.5 -5 = 17
I think this is correct. Sorry if it isn't though!!!!!!
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)
Could you explain to me how I'm supposed to solve this and all the steps?
Answer:
98 degrees
Step-by-step explanation:
The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98
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