Answer:
x=5/2, -4.
Step-by-step explanation:
3(2x-5)(x+4)=0
(2x-5)(x+4)=0/3
(2x-5)(x+4)=0
2x-5=0, x+4=0
2x=0+5,
2x=5,
x=5/2,
x+4=0
x=0-4=-4
6 more than the product of 22
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
Q1
A container has length 9750mm, width 6200mm and height 5500mm -
{a) Calculate its floor area in m2
(b) Calculate its volume in m3
Answer:
(a) 60.45 m2.
(b) 332.475 m^3.
Step-by-step explanation:
(a) area = length * width
= 9750 * 6200
= 60450000 mm^2
There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2
= 60.45 m^2.
(b) The height in meters is 5500 / 1000 = 5.5 m
Volume = area of floor * height
= 60.45 * 5.5
= 332.475 m^3.
You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?
Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
The sum of − , − − is
I need help ASAP , State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)
Answer:
No, the given set of pairs does not represent a function
Step-by-step explanation:
For a set of values to be a function, each input must have one and only one output value
Now, for the given set, we can note that:
The input -13 has two output values; 4 and 9
Therefore, this set is not a function
Hope this helps :)
The projected population of Tennessee in 2030 is
about 5x5.9^8. Predict the average number of people
per square mile in Tennessee in 2030. Land area: about 5.9^6
Answer:
Population
Population estimates, July 1, 2019, (V2019) 6,829,174
Population estimates base, April 1, 2010, (V2019) 6,346,276
Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%
Population, Census, April 1, 2010 6,346,105
Age and Sex
Persons under 5 years, percent 6.0%
Persons under 18 years, percent 22.1%
Persons 65 years and over, percent 16.7%
Female persons, percent 51.2%
Race and Hispanic Origin
White alone, percent 78.4%
Black or African American alone, percent(a) 17.1%
American Indian and Alaska Native alone, percent(a) 0.5%
Asian alone, percent(a) 2.0%
Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%
Two or More Races, percent 2.0%
Hispanic or Latino, percent(b) 5.7%
White alone, not Hispanic or Latino, percent 73.5%
Population Characteristics
Veterans, 2015-2019 431,274
Foreign born persons, percent, 2015-2019 5.1%
Housing
Housing units, July 1, 2019, (V2019) 3,028,213
Owner-occupied housing unit rate, 2015-2019 66.3%
Median value of owner-occupied housing units, 2015-2019 $167,200
Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244
Median selected monthly owner costs -without a mortgage, 2015-2019 $388
Median gross rent, 2015-2019 $869
Building permits, 2019 41,361
Families & Living Arrangements
Households, 2015-2019 2,597,292
Persons per household, 2015-2019 2.52
Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%
Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%
Computer and Internet Use
Households with a computer, percent, 2015-2019 87.1%
Households with a broadband Internet subscription, percent, 2015-2019 78.4%
Education
High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%
Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%
Health
With a disability, under age 65 years, percent, 2015-2019 11.0%
Persons without health insurance, under age 65 years, percent 12.1%
Economy
In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%
In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%
Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013
Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683
Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482
Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421
Total retail sales, 2012 ($1,000)(c) 91,641,605
Total retail sales per capita, 2012(c) $14,194
Transportation
Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2
Income & Poverty
Median household income (in 2019 dollars), 2015-2019 $53,320
Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859
Persons in poverty, percent 13.9%
BUSINESSES
Businesses
Total employer establishments, 2018 138,269
Total employment, 2018 2,683,214
Total annual payroll, 2018 ($1,000) 125,736,019
Total employment, percent change, 2017-2018 1.3%
Total nonemployer establishments, 2018 539,987
All firms, 2012 550,453
Men-owned firms, 2012 302,249
Women-owned firms, 2012 195,694
Minority-owned firms, 2012 105,234
Nonminority-owned firms, 2012 434,025
Veteran-owned firms, 2012 59,379
Nonveteran-owned firms, 2012 469,392
GEOGRAPHY
Geography
Population per square mile, 2010 153.9
Land area in square miles, 2010 41,234.90
FIPS Code
Step-by-step explanation:
Solve the equation for x.
2 x/3 = 100.6
A) x ≈ 2.22
B) x ≈ 19.96
C) x ≈ 0.41
D) x ≈ 6.65
Answer:
150.9
Step-by-step explanation:
2/3x=100.6
x=100.6/(2/3)
x=100.6(3/2)
x=150.9
Answer:
It is answer B
Step-by-step explanation:
What number is 50 % of 6/5
Answer:
3/5.
Since the numerator is an even number, you can simply remove half of it.
GIVING BRAINLIEST!!!! Please help :(
Select the statement that describes this expression: (10 − 3) x 4 + 5.
A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3
Given Brainly to who ever help
Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?
5x+8 = 18
Please answer fast
Answer:
5x + 8 = 18
5x = 18 - 8
5x = 10 (divide both sides by 5 to get x)
5x/5 = 10/5
x = 2
Step-by-step explanation:
also can i get brainliest
Find the length of midsegment JN in the trapezoid.
Answer:
JN = 18.6
Step-by-step explanation:
Theorem: The length of the midsegment of a trapezoid is the average of the bases.
[tex]JN = \frac{15.4 + 21.8}{2}[/tex]
[tex]= \frac{37.2}{2}[/tex]
= 18.6
See how easy that is when you know the theorem.
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?
Answer:
the answer is 62.5/5=12.5
Answer:
12.5
Step-by-step explanation:
62.50 ÷ 5 = 12.5
Hope this helps!
which one of the following is a factor of a²+bc+ab+ac?
62x+4=33x×2x+8 please solve it
Diana uses a wheelbarrow to haul wood from her backyard to the back of her
neighbor's house, located 30 024 feet away. She can push the wheelbarrow
3336 feet before she has to take a break.
How far would she be after 7 breaks?
find the simple interest principle 950 interest rate 12% time 4 years
Answer:
A= $1406
Step-by-step explanation:
The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.
Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).
Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!
Your final answer should be $1406, otherwise you did something wrong! XD!
Find two integers whose sum is -14 and product is 33
Answer:
Step-by-step explanation:
a+b=-14
a=-14-b
ab=33, using a from above makes this become
(-14-b)b=33
-14b-b^2=33
b^2+14b+33=0
(b+11)(b+3)=0
So the numbers are -3 and -11
the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answer:
Yes, because the two triangles share common segments.
Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
Answer:
1697.2 <3
i got it right
How do I solve this problem? Thank you.
evaluate the function
Answer:
f=(x^2/2)+(9x/2)
Step-by-step explanation:
Hey guys I need help; will mark brainliest
The radius of a truck tire is 11 inches. Approximately how far will the truck have traveled after 3 rotations of these tires? Use 3.14 for . Round to the nearest tenth.
Answer:
207.2in
Step-by-step explanation:
Hey There!
So to solve this problem we need to find the circumference of the circle and multiply that by 3 because that is how many rotations the tire would have made
C=2πr
where r = radius
Now we plug in the values
C=2(3.14)11
3.14*2=6.28
6.28*11=69.08
So one full rotation would have traveled 69.08 inches
Now we have to multiply that by 3 becasue they want us to find the distance traveled after three rotations
3*69.08=207.24
Now we round to the nearest tenth
so after 3 rotations the truck will have traveled 207.2in
The length of Rebecca’s rectangular garden was two times the width “w”. She increased the length and width of the garden so that the area of the new garden is (2w2+7w+6)square yards. By how much did Rebecca increase the length and width of the garden. Show your complete working.
Answer:
rebecca increased the length by 3 and the width by 2
Step-by-step explanation:
First we need to find the length and width by factorizing the expressio ofr the area;
A = 2w^2+7w+6
A = 2w^2+4w+3w+6
A = 2w(w+2)+3(w+2)
A = (2w+3)(w+2)
Since l = 2w
Length = 2w+3
width = w+2
This shows that rebecca increased the length by 3 and the width by 2
State if the triangles in each pair are similar. If so, complete the similarity statement.
Answer:
B
Step-by-step explanation:
Set up a proportion and see if it is true:
[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]
True, so they are similar.
The similarity statement would be QRS ~ QED
So B is the answer
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)
Answer:
-28.84
Step-by-step explanation:
-6π - 10
-6(3.14) - 10
-18.84 - 10
-28.84
Answer:
− 28.85
Step-by-step explanation:
Identify the values of a, b, and c in the following quadratic equation. 6x 2 + x - 6 = 0
Answer:
[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]
Step-by-step explanation:
[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]