Answer: 4x + 30
Steps: x + (x + 30) + 2x
Remove the parentheses: x + x + 30 + 2x
Group like terms: x + x + 2x + 30
Add similar elements: 4x + 30
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-8.46 greater or less than 5.31
Hello.
-8.46 is less than 5.31, because it is negative.
Answer:
-8.46 is less than 5.31
Step-by-step explanation:
-8.46 is a negative number, which is smaller than the positive number 5.31
Positive numbers are always greater than negative numbers.
How is the product of 4 and 2 shown using integer tiles?
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Use the parabola tool to graph the quadratic function f(x)=(x−4)(x+2).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
your m
Step-by-step explanation:
can anyone help me find the surface area of the problem and give an explanation, too. it would be very appreciated!
I'm assuming the formula is SA= hp+ 2(B)
hp= height * perimeter
2(B)= 2 * base
Answer:
731 square feet
Step-by-step explanation:
The surface area can be found using the given formula, along with the formula for the area of a trapezoid. (The bases have the shape of a trapezoid.)
We are given "h", so we need to find "p" and "B" for the formula.
__
Lateral Area dimensionsThe perimeter is the sum of the side lengths:
p = 13 ft + 7 ft + 10 ft + 8 ft = 38 ft . . . perimeter
The height is shown as 15 ft.
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Base AreaThe base area is the area of a trapezoid with base lengths 13 ft and 10 ft and height 7 ft. (The height is the perpendicular distance between the parallel bases. The two right angle corners show you the bases are parallel, and that 7 ft is the distance between them.)
A = 1/2(b1 +b2)h
A = 1/2(13 ft +10 ft)(7 ft) = 80.5 ft²
__
Total Surface AreaUsing your formula for the surface area, we find ...
SA = hp +2(B)
SA = (15 ft)(38 ft) +2(80.5 ft²) = 570 ft² +161 ft²
SA = 731 ft²
The area of the trapezoidal prism is 731 square feet.
3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and the rest of it at 2.5% annual interest. After one year, his total interest from both accounts is $750. How much did he invest in each account?
The amount he invested in the account that yields 4.5% interest is $7,500.
The amount he invested in the account that yields 2.5% interest is $12,500.
What is the system of equations that represent the question?a + b = $20,000 equation 1
0.045a + 0.025b = $750 equation 2
Where:
a = amount he invested in the account that yields 4.5% interest
b = amount he invested in the account that yields 2.5% interest
How much was invested in the account that yields 4.5% interest?Multiply equation 1 by 0.025
0.025a + 0.025b = 500 equation 3
Subtract equation 3 from 2
250 = 0.02a
a = 12,500
How much was invested in the account that yields 4.5% interest?Subtract 12,500 from 20,000
20,000 - 12,500 = $7,500
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Johnny Drive 150 miles in 3 hours. What is the unit rate
Answer:
50 mph
Step-by-step explanation:
r = d/t
r = 150/3 = 50
Answer:
1 hour = 50 Miles therefore 3 hours × 50 miles = 150 miles×per hour.
PLEASE HELP ASAP!!! WILL GIVE BRALIEST!!
Answer:
Its d!
Step-by-step explanation:The answer is D:)
HELP PLEASE I will give brainliest
Answer:
1 and 4/15
Step-by-step explanation:
Answer:
1 4/15
Step-by-step explanation:
simple subtracting
Help me out. Struggling
Answer:
YES
Step-by-step explanation:
The owner of a soybean farm raises guinea hens for food and insect control. Guinea hens will eat grasshoppers and other insect pests and ticks. They also act as a "watchdog" by making a lot of noise when intruders approach their territory. The farmer allows the hens free range in his fields during the day and provides roosts for them at night. You may make these assumptions: ∙
1. The farmer lives on 1 hen/day for a year.
2. 1 hen eats 25 grasshoppers/day.
3. 1,000 grasshoppers have a mass of 1 kg.
4. 1 grasshopper requires about 30 g of soy/yr.
6. 1 human requires about 600 grasshoppers/day.
7. dry soybeans have about 3.3 cal/g.
Required:
a. Calculate the number of grasshoppers a hen needs per year.
b. How many grasshoppers are needed for a year's supply of hens for the farmer each year?
c. What is the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year?
d. How many kilograms of soybeans are needed to feed all the grasshoppers for one year?
Answer:
a. A hen needs 9,125 grasshoppers per year
b. 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year
c. The total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg
d. 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.
Step-by-step explanation:
a. To calculate the number of grasshoppers a hen needs per year.
There are 365 days days in a year.
From the question, 1 hen eats 25 grasshoppers/day
If 1 hen eats 25 grasshoppers per day, then
1 hen will eat 25 × 365 grasshoppers per year
25 × 365 = 9125
Hence, a hen needs 9,125 grasshoppers per year.
b. To determine how many grasshoppers are needed for a year's supply of hens for the farmer each year
From the question, The farmer lives on 1 hen/day for a year.
That is, for a year, the farmer lives on 365 × 1 hen = 365 hens
Now, we will determine how many grasshoppers 365 hens will need for a year.
Since, a hen needs 9,125 grasshoppers per year
Then, 365 hens will need 365 × 9125 grasshoppers per year
365 × 9125 = 3330625 grasshoppers
Hence, 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year.
c. To determine the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year
From the question, 1,000 grasshoppers have a mass of 1 kg.
That is, 1,000 grasshoppers have a mass of 1000 g
(NOTE: 1000g = 1kg)
If 1,000 grasshoppers have a mass of 1000 g
Then, 1 grasshopper will have a mass of (1 × 1000) /1000 = 1 g
From b., the total number of grasshoppers needed to feed all the hens for one year is 3,330,625 grasshoppers.
Now, we will determine the mass of 3,330,625 grasshoppers
1 grasshopper have a mass of 1 g
∴ 3,330,625 grasshoppers will have a mass of (3,330,625 × 1) / 1 = 3,330,625 g
Now, we will convert this to kilograms (kg)
If 1000 g = 1 kg
Then, 3,330,625 g = (3,330,625 × 1) / 1000 = 3330.625 kg
Hence, the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg.
d. To determine how many kilograms of soybeans are needed to feed all the grasshoppers for one year
From the question, 1 grasshopper requires about 30 g of soy/yr
From b., 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year
If 1 grasshopper requires about 30 g
Then, 3,330,625 grasshoppers will require (3,330,625 × 30) / 1 = 99918750 g of soy/yr
Now, we will convert this to kilograms
If 1000 g = 1 kg
Then, 99918750g = (99918750 × 1) / 1000 = 99918.750 kg
Hence, 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.
3. Find the least number should be subtracted 9240 to make perfect square.
24
Find the square root of 9240 = √9240 = 96.125... now, take the whole number in the square root of 9240 which is 96 and now square this number so, 96² = 9216. Take the 9216 and subtract it from 9240 which is 24.
Find the measure of ∠ABC.
Answer:
I think it's just 100
Step-by-step explanation:
Its 100 because it's a litteraly on 100
Which set of angles are corresponding angles?
A) 1 and 5
B) 1 and 4
C) 2 and 4
D) 3 and 5
Answer:
Step-by-step explanation:
A) 1 and 5 are corresponding angles.
Answer:
Option A: 1 and 5
Step-by-step explanation:
The correct answer is 1 and 5, option A.
A chef trimmed fat off a steak and was left with a steak a weighing 8.80 ounces. If the weight of the fat was equal to 12 percent of the original weight, what was
the original weight, in ounces, of the steak?
Answer:
10.00
Hope it helps!!!brainliest pls!!!A rental car company charges $40 per day to rent a car and $0.06 for every mile driven. Aaden wants to rent a car, knowing that:
He plans to drive 100 miles.
He has at most $130 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Aaden can afford to rent while staying within his budget.
We know that it costs $0.06 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:
40x + 0.06(100) ≤ 130
40x + 6 ≤ 130
Rearranging the inequality so we have the variable alone on one side, we get:
40x ≤ 124
Divide both sides by 40 to get x alone.
x ≤ 3.1
Solution: Aaden can afford to drive the car for 3 days and stay under his budget.
Three parrots A,B and Cwere parroting "hello" once every 3 minutes, 4 minutes and 5 minutes respectively. If three of the starts parroting at 7.00 a.m.,when will they parrots together again
What is the factored form of x2 - 6x – 16?
O (x – 4)(x - 2)
O (x + 4)(x - 2)
O (x-2)(x + 8)
O (x-8)(x + 2)
The factored form of equation x² - 6x - 16 is,
⇒ (x - 8) (x + 2)
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The equation is,
⇒ x² - 6x - 16
Now, We can simplify as;
⇒ x² - 6x - 16
⇒ x² - 8x + 2x - 16
⇒ x (x - 8) + 2(x - 8)
⇒ (x - 8) (x + 2)
⇒ (x - 8) (x + 2)
Thus, The factored form of equation x² - 6x - 16 is,
⇒ (x - 8) (x + 2)
Learn more about the multiplication visit:
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ANSWER PLEASEEEEEEEEEEEEEEE
Answer:
2.75
Step-by-step explanation:because you subtracted 3 1/2 and6/8 and that’s your answer. If this is a big grade do not listen to me,if it’s not then go ahead and see if you got it write.
Hector’s car holds 12.6 gallons of gas. If it cost $3.25 per gallon, how much does it cost for him to his tank?
Answer:
$40.95
Step-by-step explanation:
Simply multiply 12.6 by 3.25.
Hope that helps!
Which equation is equivalent to the given equation?
HELP
list two numbers that have the same value as 34 divided 3
Answer:
89/8
99/9
Step-by-step explanation:
34/3 =11.33
If the m 4 = 12x - 10 and m5 is 10x + 10. Find the value of x.
Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $35,400,
a. Social Security tax: $2,194.80, Medicare tax: $513.30
b. Social Security tax: $21,948.00, Medicare tax: $5,133.00
C Social Security tax: $6,621.60, Medicare tax: $513.30
d. Social Security tax: $66,216.00, Medicare tax: $5,133.00
Answer:
the answer is A)Social Security tax: $2,194.80, Medicare tax: $513.30
Step-by-step explanation:
The Social Security and Medicare tax that would be applied to an annual salary of $35,400 is: a. Social Security tax: $2,194.80, Medicare tax: $513.30.
Social Security tax and Medicare tax:Social security tax rate is 6.2% of the annual salary while Medicare tax rate is 1.45% of the annual salary.
Hence:
Social security tax=6.2%×$35,400
Social security tax=$2,194.80
Medicare tax=1.45%×$35,400
Medicare tax=$513.30
Inconclusion the Social Security and Medicare tax that would be applied to an annual salary of $35,400 is: a. Social Security tax: $2,194.80, Medicare tax: $513.30.
Learn more about Social security and Medicare tax here:https://brainly.com/question/1899088
Write and equation for each line
To find the equation of all the lines, we must:
1. Find the slope
Choose any two pointsSubstitute the coordinates into the slope formulaSolve for the slope.2. Find the y-intercept by looking at the graph
Finding the equation of the green line:
Step-1: Choose any two points on the line
Chosen points: (0, 4) and (-4, 0)Step-2: Review the slope formula
[tex]\rightarrow \text{Slope = m} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]Where:
x₁ = x coordinate of the first pointx₂ = x coordinate of the second pointy₁ = y coordinate of the first pointy₂ = y coordinate of the second pointStep-3: Substitute the coordinates into the slope formula.
[tex]\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{0 - 4 }{-4 - 0 } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{-4 }{-4} = \text{Slope of green line}[/tex][tex]\rightarrow 1 = \text{Slope of green line}[/tex]Step-4: Find the y-intercept of the green line
The y-intercept is the intersection of the line on the y-axis. Looking at the graph, we can tell that the intersection of the y-axis made by the green line is 4.
[tex]\text{y-intercept} = 4[/tex]Step-5: Create the equation
Slope intercept form: y = (m)x + (b) [m = slope; b = y-intercept]Equation of green line: y = (1)x + (4) [m = 1; b = 4]Equation of green line: y = x + 4Finding the equation of the yellow line
The yellow line is a vertical line intersecting (1,0). Since the y-coordinate is 0, the equation will be:
x = x coordinate of (1,0)The x coordinate of (1,0) is 1.
x = 1Finding the equation of the blue line
Step-1: Choose any two points on the line
Chosen points: (0, 4) and (2, 0)Step-2: Substitute the coordinates into the slope formula.
[tex]\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{0 - 4 }{2 - 0 } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{-4}{2} = \text{Slope of green line}[/tex][tex]\rightarrow -2 = \text{Slope of green line}[/tex]Step-3: Find the y-intercept of the green line
Looking at the graph, we can tell that the intersection of the y-axis made by the blue line is 4.
[tex]\text{y-intercept} = 4[/tex]Step-4: Create the equation
Slope intercept form: y = (m)x + (b) [m = slope; b = y-intercept]Equation of green line: y = (-2)x + (4) [m = -2; b = 4]Equation of green line: y = -2x + 4
I need this fast pls
w ≥ 652.5
On 652.5, plot a closed point to the right.
Answer:
w ≥ 652.5- (B, the second choice)
Step-by-step explanation:
To graph, you would put a closed dot on 652.5
:) Hope this helped
Have a wonderful day
I know math isn't always easy, but you will get through this!
What is the percent of a hot dog? To show the price went down, use a negative number. 2000: $250 and 2015: $2.00
Answer:
The percentage of the hot dog decreased by 20%
Step-by-step explanation:
20% of 2.50 is 50 cents, meaning that the price went down by 50 cents.
Hope this helps!
which problom can we solve with 60 devided by 6
Answer:
10
explanation:
60 divided by 6 equals 10, you could just use the division symbol, which is a slash, as we did above. The easiest way we found to answer the question "what 60 divided by 6 means", is to answer the question with a question: How many times does 6 go into 60?
Answer:
10
Step-by-step explanation:
A number is squared, and then three is added to its square. The result is 228. What is the number?
Answer:
[(15)(15) + 3] = 225
Step-by-step explanation:
PLEASE HELP!!!! I will mark braineist
the following sentence. states, Americans looking for more land and resources left their homes. Which sentence is edited correctly?
The text states, “Americans, looking for more land and resources, left their homes."
The Text states Americans looking for more land and resources left their homes.
The text states “Americans, looking for more land, and resources left their homes."
The text states, "Americans look for more land and resources left their homes".
Step-by-step explanation:
The first sentence makes the most sense since they used quotations to state what was mentioned in the text, and the punctuations/commas/point are placed correctly.