Answer:
6y people are in the boats
Step-by-step explanation:
Here, we are interested in writing an expression for the total number of people in the boats.
We have 6 people in each of the boats and there are a total of y boats.
The total number of people in the boats is thus y * 6 = 6y people
Solve the equation.
8x − 5 = 12x + 1
A: -1
B: -1/5
C: -3/2
D: -3/10
Answer:
C
Step-by-step explanation:
8 (-1.5) - 5 = 12 (-1.5) + 1
-17 = -17
solve 5^(3x-9)-10=-2
Give the exact solution and an approximate solution to three decimal places.
x = (blank) ≈ (blank)
Answer:
x = 3.431
Step-by-step explanation:
Given equation is,
[tex]5^{(3x-9)}-10=-2[/tex]
[tex]5^{3x-9}-10+10=-2+10[/tex]
[tex]5^{3x-9}=8[/tex]
By taking log on both the sides of the equation,
[tex]\text{log}(5^{3x-9})=\text{log}8[/tex]
(3x - 9)log5 = log8
3x - 9 = [tex]\frac{\text{log}8}{\text{log}5}[/tex]
3x - 9 = 1.292
3x = 9 + 1.292
x = [tex]\frac{10.29202}{3}[/tex]
x = 3.4306
x ≈ 3.431
Your total cost for lunch is $18.50 for food and $1.48 for tax. A. Find the percent of sales tax on the food total. B. Find the amount of an 18% tip on the food total.
Answer:
A: 8% B: $3.33
Step-by-step explanation:
A: divide the tax by the total cost
B: divide the total cost without tax by 100, then multiply by 18
Select the correct answer from each drop-down menu. When she was 20, Liz started saving $6,000 a year for retirement. Her goal is to reach $100,000 in savings by the time she's 30. Her account earns 8% interest per year, compounded annually. Liz have saved $100,000 by age 30. She'll her goal by about .
Answer:
She will by about 37 years not 30 years
Step-by-step explanation:
Explanation is in attached picture
Betty saves $161 a month. She saves $141 less each month than Jack. How much will jack save in 2 years?
Given that Betty saves $161 per month which is $141 less than Jack per month. find the amount that Jack will save in 2 years.
First, find how much Jack saves. We can do this buy adding 141 to 161 since Betty saves 141 less meaning we can reverse it by adding it.
141 + 161 = 302
Now, that we know how much Jack saves per month.
Then, we have to find out how many months are in 2 years.
We already know that there is 12 months in a year, so for 2 years, we can simply multiply by 2.
12 x 2 = 24
Therefore, there are 24 months in two years.
Lastly, multiply 24 months by the amount that Jack saves to get the amount in total.
24 x 302 = 7,248
Thus, Jack will save approximately $7,248 in 2 years.
Answer:
Jack will save $7248 in 2 years.
Step-by-step explanation:
Because we know that Betty saves $161 a month, but it's $141 less than Jack saves each month.
Adding $141 to $161 let's us know how much Jack saves.
$141 + $161 = $302
Jack saves $302 each month.
There are 24 months in 2 years.
$302 × 24 = $7248.
Hope that helped!
What is the volume of a circle
Answer:
volume = 4/3 × pi × r^3
Step-by-step explanation:
Answer:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
Circumference = 2 • π • radius = π • diameter
Circle Area = π • r² = ¼ • π • d²
The circumference of a circle is directly proportional to its radius. The ratio between a circle's circumference and its diameter is pi, a constant that equals approximately 3.142. The circle's diameter, in turn equals twice the radius. A regular solid that has a circle as a face is called a cylinder. Like all geometric prisms, a cylinder's volume is the product of its cross-sectional area and its length. The cross-sectional area is the area of its circle, and you can calculate it from the circle's radius. Multiply the circle's radius by 2 to calculate its diameter. For instance, if the radius equals 6 inches, compute as follows to determine the diameter: 6 x 2 = 12 inches. Multiply the diameter by pi to get the circle's circumference: 12 x 3.142 = approximately 37.7 inches. Find the square of the radius: 6 x 6 = 36 square inches. Multiply the answer determined in Step 3 by pi to get the circle's area: 36 x pi = 113 square inches. Multiply the circle's area by the cylinder's length to obtain the volume. If the length is, for instance, 10 inches, then compute as follows: 113 x 10 = 1,130 cubic inches.
evaluate tan 60/ cos 45
Answer:
0.60922709536
Step-by-step explanation:
not sure if this is what you are looking for????
√6
im putting yall on folks
Arthur starts his first workout routine by doing 10 push-ups. Each workout after the first, he plans to do 2 more push-ups than in the previous workout. By his 20th workout, how many total push-ups will Arthur have done?
Answer:
50
Step-by-step explanation:
10 + (20x2) = 50
a. -4 <= x <= 0 b. y >= -3 c. all real numbers 4. {-4,0}
Answer:
-4 <= x <= 0
Step-by-step explanation:
Boat A is 20 km from port on a bearing of 025° and boat B is 25 km from port on a bearing of 070°. Boat B is in distress. What bearing should boat A travel on to reach boat B?
Answer: Boat A should travel 152.8° to reach B
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. Triangle ABP is formed. A represents the position of boat A. B represents the position of boat B. P represents the position of the port.
We would determine AB by applying the law of cosines
AB² = AP² + BP² - 2AP×BPCosP
AB² = 20² + 25² - 2 × 20 × 25 × Cos45
AB² = 1025 - 707.10678 = 317.89322
AB = √317.89322 = 17.83
We would determine the bearing of B from A by finding angle A. We would apply the sine rule.
AB/SinP = AP/Sin A
17.83/Sin45 = 20/SinA
Cross multiplying, it becomes
17.83 × SinA = 20Sin45 = 14.14
SinA = 14.14/17.83 = 0.79
A = Sin^-1(0.79) = 52.2°
The total angle at A is 65 + 52.2 = 117.2°
The angle formed outside the third quadrant is 117.2 - 90 = 27.2°
Therefore, bearing B from A is
180 - 27/2 = 152.8°
Help ASAP please!!!!!
Answer:
(-3,-1)
Step-by-step explanation:
Use a graphing tool to graph the given lines.
When graphed, the lines pass at (-3,-1).
Therefore, (-3,-1) is the solution.
Mr. Schultz needs $200 to buy some new Jordan shoes. He was given $75 for his birthday. Which equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes? *
x + 75 = 200
75x = 200
200x = 75
x - 75 = 200
Answer:
The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200
Step-by-step explanation:
Mr. Schultz was given amount on his birthday = $75
We are given that Mr. Schultz needs $200 to buy some new Jordan shoes.
Let x be the amount of money Mr. Schultz needs to save to buy the shoes
So, Total Amount saved = 75+x
Total cost of shoes = $200
So, 75+x=200
So, The required equation is 75+x=200
So, Option A is true
Hence The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200
The volume of a cube is 500 cubic feet. What is the length of each edge of the cube?
Answer:
About 7.94
Step-by-step explanation:
The formula to find the edge of each side is V^1/3. And 500^1/3 is about 7.94
Answer:
i keep getting a different answer every time _-_ I'M LOSING MY MIND!!!
Which best describes the error in finding the percent increase from 18 to 26? The denominator should be 18, which is the original amount. The numerator should be 18, which is the original amount. The numerator should be 26, which is the new amount. The denominator should be 18, which is the new amount. The expression was simplified incorrectly. Question 2 Correct the error. Round your answer to the nearest whole number. The percent increase from 18 to 26 is about %.
Answer:
The percentage increase is 44.44%
What best describes the error is that the denominator should be 18 which is the original amount
Step-by-step explanation:
Here, we are to calculate the percentage increase from 18 to 26
Mathematically, we can calculate this with the following formula;
(New value - old value)/old value * 100%
Where the new value is 26 and the old value is 18. Plugging these values, we have;
(26-18)/18 * 100%
8/18 * 100% = 44.44% increase
The error in finding the percent increase from 18 to 26 is, The numerator should be 18, which is the original amount.
The percentage increase from 18 to 26 is about 44.4%.
We have to give that,
To find the percent increase from 18 to 26.
Now, The process to find a percent increase from 18 to 26 is,
(26 - 18) / 18 x 100%
= 8/18 x 100%
= 800/18%
= 44.4%
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Correct answers only please!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 7,299.92
A = P + I where
P (principal) = $ 6,000.00
I (interest) = $ 1,299.92
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
marking braineist!!!
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3
how many 1/3 fraction unit cubes does it take to fill the prism?
Answer:
36 cubes
Step-by-step explanation:
Im pretty sure that you have to divide 4 by 1/3*1/3, so 4÷1/9 which is 36 do keep change flip to get 4/1 * 9/1 and multiply 4 by 9 to get 36/1 which is 36. I hope this helps
Sorry Im making an edit to this, i made a mistake, you have ot find the volume of the mini cube, so the volume would be 1/27 not 1/9 (which is the area) so the answer would be 108 sorry again
Which shows the approximate location of square root 12 on a number line
Answer:
Step-by-step explanation:
Hello. i would love to help but do you have a graph so i can see
Factorise fully the following:
a) 3x + 18
b) 2x - 14
c) 6x + 4
d) 9x - 15
Answer:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps.
What is the slope of the line that passes through the points (2, -4) and
(5, -6)?
Answer:
slope = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Slope = [tex]Slope = \frac{y 2 - y1}{x2 - x1}[/tex]
lets assume is assume that (x1,y1) are (2,-4)
and (x2,y2) are (5,-6)
Substitute them into the equation and you will get 2/3
Hope this helps
Answer:
(2, -4) and (5, -6)
m = y2 - y1 / x2 -x1
m = -6 + 4 / 5-2
m = -2 / 3
Step-by-step explanation:
1. label the ordered pairs xs and ys
2. write down the slope formula
3. replace the xs and ys by their values
4. add and/or subtract
5. slope is -2/3
a racing car has a uniform acceleration of 4m/sec^2? what distance will it cover in 10 second after start.
Answer:
Easy
Step-by-step explanation:
4m a second so 40 seconds cause4 x 10
Answer:
im not sure
1398100 meter
Step-by-step explanation:
4+4^(2)+4^(3)+4^(4)+4^(5)
+4^(6)+4^(7)+4^(8)+4^(9)
+4^(10)=1398100
PLEASE HELP thank you!!
Multiply Decimals - Tutorial - Level E
Choose the correct product.
3.2 x 8.54 = ?
2732.8
2.7328
273.28
27.328
The surface area of the prism is 298 square feet. Find the value of x
Answer:
We can make an equation
2 * 7x + 2 * 4x + 2 * 4 * 7 = 298
14x + 8x + 56 = 298
22x = 298 - 56
22x = 242
x = 242/22
x = 11
If the surface area of the prism is 298 square feet, the value of x is 11 feet.
To find the value of x, we need to use the formula for the surface area of a rectangular prism:
Surface Area (SA) = 2lw + 2lh + 2wh,
where l is the length, w is the width, and h is the height of the prism.
Given that the length (l) is 7 ft and the width (w) is 4 ft, and the surface area (SA) is 298 square feet, we can set up the equation:
298 = 2(7)(x) + 2(7)(4) + 2(4)(x).
Now, simplify the equation:
298 = 14x + 56 + 8x.
Combine like terms:
298 = 22x + 56.
Now, isolate x by moving the constant term to the other side of the equation:
22x = 298 - 56,
22x = 242.
Finally, solve for x:
x = 242 / 22,
x = 11.
In summary, the height of the rectangular prism is 11 feet, and this value is obtained by using the surface area formula and solving the resulting equation.
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Florence and her family ordered a meal that cost $60. Florence paid 15% sales tax and left a 15% tip on $60. What was the total cost?
Answer:
$78
Step-by-step explanation:
Each 15% is $9. If you do 9 times 2 you get $18. $60 + $18 = $78.
On dividing -8016 by x, the value obtained is -16. Find the value of integer x.
Answer:
x=501
Step-by-step explanation:
so to find x we take -8016 divide by -16 which equal 501
The required value of x when dividing -8016, the value obtained is -16, is 501.
On dividing -8016 by x, the value obtained is -16. Find the value of integer
What is simplification?In mathematics to operate and interpret the function to make function simple or more understandable called simplification.
Here,
-16 = -8016/x
x = 8016/16
x = 501
Thus, the required value of x when dividing -8016, the value obtained is -16, is 501.
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What are the values of a, b, and c in the quadratic equation 0 = x - 3x – 2?
O : 36 = 3, c= 2
0 8 = 7 / 0 = -3, c= -2
O = 3,0 = 3,C= -2
O a = b = -3,c=2
Answer:
The values of a,b and c are 1, -3 and -2 respectively.
Step-by-step explanation:
The general form of quadratic equation is given by :
[tex]ax^2+bx+c=0[/tex] .....(1)
Here, a,b and c are constants
The given equation is :
[tex]x^2-3x-2=0[/tex]
We can also write the above equation as :
[tex]x^2+(-3x)+(-2)=0[/tex] ....(2)
If we compare equation (1) and (2), we get :
a = 1
b = -3 and
c = -2
So, the values of a,b and c are 1, -3 and -2 respectively.
Answer:
i think its option B
Step-by-step explanation:
i dont know if its right or not sorry but hope this helps :)
Divide the difference between 70 and 20 by 25.
Answer:
The Answer is 2
Step-by-step explanation:
70 - 20= 50 and if you divide by 25 you get 2. Because 25 times 2 = 50 hope it helps
Answer:
2
Step-by-step explanation:
Subtract 70 and 20
70 - 20
Simplify
50
Divide 50 by 25
50/25
Simplify
2
In 1970, Town A had a population of 800 people and the population increased by 5% each year. In 1970, Town B had a population of 1100 people and the population increased by 50 people each year.
Which town will eventually have the greater population?
Which town had a greater population in 2000?
Answer:
Town "A" was going to have a larger population eventually
Town "A" = 3458 inhabitants
Town "B" = 2600 inhabitants
Step-by-step explanation:
Eventually Town "A" will have a greater population population because it increases in percentage with respect to each year, therefore, there will come a time that its increase will be greater than 50 per year, which is what Town "B" increases.
To calculate the population the first thing is to know that 30 years have passed, then we must calculate that 30-year increase.
For Town "A" the increase would be as follows:
800 * (1.05 ^ 30) = 3457.55 = 3458 inhabitants
For Town "B" the increase would be as follows:
1100 + 50 * 30 = 2600 inhabitants
Thus checking that Town "A" was going to have a larger population eventually
Answer:
Town A will get eventually have the greater population
Step-by-step explanation:
A rectangular prism has sides of 4 cm, 2.5 cm, and 5.5
cm. The figure is dilated by a scale factor of 3.
4 cm
What is the volume of the new prism?
cm.
What can be concluded about the effect of the change
on the new volume?
The new volume is times the original volume.
2.5 cm
5.5 cm
Answer:
What is the volume of the new prism? 1,485 cm^3
The new volume is 27 times the original volume
Step-by-step explanation:
I got it right on ed 2020
Answer:
A rectangular prism with length 5.5 centimeters, width 2.5 centimeters, and height 4 centimeters.
A rectangular prism has sides of 4 cm, 2.5 cm, and 5.5 cm. The figure is dilated by a scale factor of 3.
What is the volume of the new prism?
✔ 1,485
cm3.
What can be concluded about the effect of the change on the new volume?
The new volume is
✔ 27
times the original volume.
Step-by-step explanation:
If α and β are the zeros of quadratic polynomial x2 + 3x - 2, find the value of α3 + β3.
Answer:
[tex]\alpha + \beta = -3/1 = -3 \\ \alpha \beta = -2/1 = -2[/tex]
[tex]\alpha ^3 + \beta ^3[/tex]
[tex](\alpha + \beta )^3 - 3\alpha\beta (\alpha + \beta ) \\ (-3)^3 - 3(-2)(-3) \\ -27 - 18 = -45[/tex]