Answer:
[tex]y=3x^2+9x-30[/tex]
Step-by-step explanation:
To multiply [tex](3x+15)[/tex] with [tex](x-2)[/tex] we can use a method called the FOIL method. FOIL is an acronym standing for First, Outer, Inner, Last. This is the order in which we need to multiply. The first terms of each multiplier are [tex]3x[/tex] and [tex]x[/tex]. Therefore, we multiply these two terms to get [tex]3x^2[/tex]. The outer terms are [tex]3x[/tex] and [tex]-2[/tex]. Once again, we multiply these terms.
[tex](3x)(-2)=-6x[/tex]
Now, our equation looks like this: [tex]y=3x^2-6x[/tex]. We're not finished yet though. Next, we need to multiply the inner terms, [tex]15[/tex] and [tex]x[/tex]. This comes out as simply [tex]15x[/tex]. Now our equation looks like this: [tex]y=3x^2-6x+15x[/tex]. We just need to multiply the last terms, [tex]15[/tex] and [tex]-2[/tex]. This comes out as [tex]-30[/tex].
Our equation at this point has been fully multiplied:
[tex]y=3x^2-6x+15x-30[/tex]
We can see that we still have two like terms, [tex]-6x[/tex] and [tex]15x[/tex]. These can be combined to simply [tex]9x[/tex]. Our final equation, then, is this: [tex]y=3x^2+9x-30[/tex]
At a coffee shop, Polly can choose to earn $12 per hour plus a starting bonus of $100 or she can choose to earn $16 per hour with no starting bonus. After how many hours of working at the coffee shop will Patty earn the same amount for both payment options?
Answer:
For the first option 1h for the second option is 7h and she will earn the same which is 112$
Step-by-step explanation:
12 x 1 = 12 + 100 = 112
16 x 17 =112
Please help giving brainless to the first person to help me. Thank you
Answer:
Step-by-step explanation:
To find the population density of any state:
We must divide the population number by the area
Thus Washington state's population density equals 7,705,281 / 71297.95
Which equals 108.1
Hope that helps!
Answer:
108.1 people per square mile
Step-by-step explanation:
The population density is people per area.
Take the population and divide by the area.
Washington state:
7705281/71297.95
108.07156
Rounding to the nearest tenth
108.1 people per square mile
what is 6.45 divided by 5 pls show ur work
Answer:
1.29
Step-by-step explanation:
9
2
1
6.45/5
5
___
14
10
____
45
45
____
0
Answer:
1.29
Step-by-step explanation:
6.45/5
5[tex]\sqrt{6.45}[/tex]
- Step one:
-How many 5's go into 6? If you answered one, you're right.
5[tex]\sqrt{6.45}[/tex] = 1...
- Step two:
- Now we have a remainder of one. When we bring down the 4, we have 14.
- How many 5's can fit in 14? If you answered 2 with a remainder of 4, you're correct!
5[tex]\sqrt{6.45}[/tex] = 1.2......
- Step three:
- Because we have one more digit left in 6.45, the five, we will bring it down. We now we have 45. How many 5's can fit in 45? If you answered 9, you're right!
5[tex]\sqrt{6.45}[/tex] = 1.29
Note: We have no more digits left, so we have nothing more to do!So, this is how you do this division. I hope I helped you!
FOR 99 PTS PLS
What is the area of a rectangle with side lengths of 38 meter and 46 meter?
Enter your answer as a fraction in simplest form by filling in the boxes.
⊂ ⊃
------ m²
⊂⊃
Answer:
1748/1
Step-by-step explanation:
Well youd have to multiply 38 by 46 then put one as the denominator and the number as the numerator
Help me please!! ASAP
Answer:
Total Area = 110 m²
Step-by-step explanation:
To find the area of this composite shape, extend the top horizontal line to the right. That divides the figure into a right triangle (above the extended line) and a rectangle (below the extended line).
Shape 1Name: triangle
Formula: A = 1/2bh
Values: b = 15 m -5 m = 10 m; h = 4 m
Area = 1/2(10 m)(4 m) = 20 m²
__
Shape 2Name: rectangle
Formula: A = bh
Values: b = 15 m; h = 6 m
Area = (15 m)(6 m) = 90 m²
__
Total area = Shape 1 area + Shape 2 area
Total area = (20 m²) +(90 m²) = 110 m²
A map of a highway has a scale of 2 inches = 39 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the
highway, including one at each end. You are making a new map with a scale of 1 inch = 30 miles. How far apart are the rest stops on the new map?
Scale : 2 inches = 39 miles
The length of the highway on the map is 9 inches -> the real length of it = 39 x 9 : 2 = 175.5 (miles)
There are 7 rest stops equally spaced => There are 7-1 = 6 equal distance between the rest stops
So, every rest stop is 175.5 : 6 = 29.25 miles apart from each other.
With a scale of 1 inch = 30 miles, each rest stop will be 29.25 : 30 = 0.975 inches apart from each other on the new map.
I am stuck on this one please help
Answer:
your answer should be A.
Step-by-step explanation:
I don't know how to explain it to people but yeah, I hope I helped!
State the line of reflection. A B 2 C D'o Chri А" B Reflection across (type with no spaces) Espacio en Blanco 1:
Answer:
y = 0
Step-by-step explanation:
The image is reflected across the y-axis
The dinner special at Dan’s Diner comes with a choice of two side dishes, corn or potatoes, and a choice of three types of bread, rolls, toast, or biscuits. List all of the possible specials.
Use the first letter of each choice as an abbreviation.
Answer:
C, R C, T C,B
P, R P, T P, B
there is 6 possible special.
I need help with 8 and 9
Answer:
yes / 9 d
Step-by-step explanation:
To find x-intercept, substitute ____
in for ______
Ex: y = 3x + 3
Answer:
You substitute 3 for c (intercept)
Step-by-step explanation:
y = mx + c
y = 3x + 3
Comparing
c (intercept) = 3
Colombia has a "four-story" agriculture. Label each elevation with one of the crops or livestock that can be found there
The crops or livestock that can be found in the "four-story" agriculture include:
10,000ft: Cattle7,000ft: Apples3,000ft: coffee0ft: BananasWhat is agriculture?Agriculture simply means the practice of cultivating plants and livestock. It is a key development in the rise of human civilization, whereby the farming of domesticated species created food surpluses which enabled people to live in cities.
In this case, the crops or livestock that can be found in the "four-story" agriculture are depicted above.
Learn more about agriculture on:
https://brainly.com/question/894600
Pls help me with my maths assignment!!!
Answer:
288
Step-by-step explanation:
Let x represent the smaller number then the larger number would be 120%x
We can use this to set up an equation:
[tex]x+120\%x=528[/tex]
Convert 120% to a fraction (any percentage is just that number over 100):
[tex]x+\frac{120}{100}x=528[/tex]
Simplify the fraction:
[tex]x+\frac{6}{5}x=528[/tex]
Add like terms:
[tex]\frac{5}{5}x+\frac{6}{5}x=528\\\frac{11}{5}x=528[/tex]
Multiply both sides by 5:
[tex]11x=2640[/tex]
Divide both sides by 11
[tex]x=240[/tex]
Therefore...
[tex]120\%*240=\frac{6}{5}(240)=\frac{1440}{5}=288[/tex]
The larger number is 288
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
3 out of 10 is smaller than 3 out of 5
Answer: 3/10 < 3/5
Step-by-step explanation:
Choose one of the fractions to convert to a common denominator, we'll use 3/5 in this case
3/5 to the common denominator of 10, to get to 10 you need to multiply both the numerator and denominator by 2
2 * (3/5) * 2 = 6/10
6/10 is greater than 3/10, which means 3/10 is less than 3/5
Therefore, 3/10 < 3/5
White the greatest common factor of: 2700xy and 27y^3
Answer:
Step-by-step explanation:
2700x y = 3 * 3 * 3 * 2 * 2 * 5 * 2 * x * y
27y³ = 3 * 3 * 3 * y * y * y
GCF = 3*3*3*y
= 27y
What is the distributive property of multiplication over addition?.
Answer:
Step-by-step explanation:
Distributive property of multiplication over addition:
a(b + c) = (a*b) + (a*c)
I need help with a certain math problem and I need an explanation and it simplified.
Last one. I made the tree and found 12 of them. am I right? Love you guys for helping me!! thank you! I need it asap sorry!
Answer:
12possible dishes is the answer
HELP ME PLEASEEE Write an equation and solve for the missing value. Show your work
Answer:
1. x = 23
2. y = 14
3. n = 17.5
4. x = 12
5. n = 11
Step-by-step explanation:
Complementary angles are equal to 90°
Vertical angles are congruent, which means they are equal to each other.
Supplementary angles are equal to 180°
1.
2x - 3 + 47 = 90
Step 1: Combine like terms (-3 + 47)
2x - 3 + 47 = 90
2x + 44 = 90
Step 2: Subtract 44 from both sides
2x + 44 - 44 = 90 - 44
2x = 46
Step 3: Divide by 2 on both sides
2x/2 = 46/2
Step 4: Simplify
x = 23
2.
5y + 12 = 82
Step 1: Subtract 12 from both sides
5y + 12 - 12 = 82 - 12
5y = 70
Step 2: Divide by 5 on both sides
5y/5 = 70/5
Step 3: Simplify
y = 14
3.
4n - 5 + 115 = 180
Step 1: Combine like terms (-5 + 115)
4n -5 + 115 = 180
4n + 110 = 180
Step 2: Subtract 110 from both sides
4n + 110 - 110 = 180 - 110
4n = 70
Step 3: Divide by 4 on both sides
4n/n = 70/4
Step 4: Simplify
n = 17.5
4.
Since m∠XYZ = 110°
3x + 2 + 72 = 110
Step 1: Combine like terms (2 + 72)
3x + 2 + 72 = 110
3x + 74 = 110
Step 2: Subtract 74 from both sides
3x + 74 - 74 = 110 - 74
3x = 36
Step 3: Divide by 3 on both sides
3x/3 = 36/3
Step 4: Simplify
x = 12
5.
5n + 35 = 90
Step 1: Subtract 35 from both sides
5n + 35 - 35 = 90 - 35
5n = 55
Step 2: Divide by 5 on both sides
5n/5 = 55/5
Step 3: Simplify
n = 11
Jude deposited $550 into an account that earns simple interest, and after 11 years, the interest in the account was $484. What was the simple interest rate?
Answer: 8% interest rate
Step-by-step explanation: intrest = 484
you’re welcome!
Can someone help me with 3. And 4. Answer quick !
Answer:
number 4 is $223.6 (ADD THE MONEY SYMBOL TOO)
Step-by-step explanation:
44.72 = tip + money she gets per unit of time
then 44.72 x 5 because 5 is how many hours and 44.72 is how much she gets an hour
If 4 times a number decreased by 7 is 45, find that number.
Set up an equation :
4 x number - 7 = 45
Add 7 to both sides:
4 x number = 52
Divide both sides by 4:
Number = 13
Answer: 13
Answer:
13
Step-by-step explanation:
Because 4 times ? decreased by 7=45 then what times 4 =52 since it was decreased by 7 then 45+7=52.
We know it has to be more than 10 so what is 11 x 4=44 12 x 4=48 and 13 x 4=52 so 52 subtracted by 7=45 and there's your answer.
hope this helps have a great day:)
Please answer with steps
{0.4), (-4,-6)
[tex](0.4), (-4,-6)[/tex]
The LCM of a, b is the smallest multiplier that is divisible by both a and b
[tex]= 0.4(-4, -6)[/tex]
Solve that for me :)
Answer:
2/5
Step-by-step explanation:
Out of the available options on the spinner, only 1 and 5 are factors of 25.
=> Outcomes = 2
=> Total outcomes = 5
P (factor of 25) = 2/5
Hope it helps.
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Probability is calculated as
P = [tex]\frac{desiredoutcome}{possibleoutcomes}[/tex]
desired outcome is factor of 25
factors of 25 are 1 and 5 , that is 2
possible outcomes are 1, 2, 3, 4, 5 , that is 5
P( factor of 25 ) = [tex]\frac{2}{5}[/tex]
Can someone answer these 3 problems plsss quick!!!
Answer:
1.) 42 in
3.) 68 ft
5.) 105 yd
Step-by-step explanation:
Formula : ½ base × height
1.) 14÷2= 7 × 6 = 42in
3.) 17÷2= 8.5 × 8 = 68ft
5.) 30÷2= 15 × 7 = 105 yd
I dont get it...HELPPPPPPPPPP!
Answer:
224 cubes
Step-by-step explanation:
find area of the figure 2*7/4*1 = 3.5
area of one cube is 1/4³ =1/64
3.5÷1/64=224
3. A bat can emit a sound wave that travels at a speed of 342 m/s. Speed, s, can be
represented by the formula, s = d/t, where d is the distance, in metres, and t is the
time, in seconds.
a) Write an equation that can be used to determine the distance a bat
is away from an object if it takes 0.3 s for the sound wave to travel to
the object and back.
b) How far is the bat from the object?
Answer:
A. because is 0.3Step-by-step explanation:
B. is not the answer
Does the point (–1, 1) satisfy the equation y = 4x + 5?
Answer: True
Step-by-step explanation:
Substitute -1 for x and 1 for y in the equation y = 4x + 5
(1) = 4(-1) + 5
1 = -4 + 5
1 = 1
Left side = right side
Therefore, the point (–1, 1) satisfies the equation y = 4x + 5
Chad works 10 hours a week and earns $5 an hour. He saved his earnings for 2 weeks and then spent $75. How much did he have left
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.
What is the volume of the recycling bin?
Answer: 429m^3
Step-by-step explanation:
The volume of a rectangular prism is equal to the length*width*height of the rectangular prism.
We can plug in the values given.
Volume = 5.5m*12m*6.5m
Volume = 429m^3
