Answer:
country a = 19,812 cars
country b = 6,604 cars
Step-by-step explanation:
a = country a
b = country b
the 2 eqations are:
a + b = 26,416
a = 3b
now substitute 3b for a in the first equation:
3b + b = 26,416
add the variables:
4b = 26,416
now divide 26,416 by 4 (26,416/4)
b = 6,604
so country b has 6,604 cars
to find country b, substitute the number of cars in country b (which is 6,604) in the second equation:
a = 3b
a = 3 × 6,604
a = 19,812
so country a has 19,812 cars
there are 25 animals in the field. Some are horses, some are ducks. There are 84 legs in all. How many of animal are in the field?
Answer:
Ducks = 8
Horses = 17
Step-by-step explanation:
From the question;
Total number of animals = 25 Total number of legs = 84 legsWe are required to determine the number of ducks and horses;
We need to know that;
A duck has two legs while a horse has four legs;
Assuming there were x ducks and y horses
Then;
x + y = 25 ................................Eqn 1
And;
2x + 4y = 84 .............................Eqn 2
Solving the two equations simultaneously we can get the number of each animal.
x + y = 25
2x + 4y = 84
Multiplying the first equation by 2, we get
2x + 2y = 50
2x + 4y = 84
Subtracting the two equations;
2x + 2y = 50
2x + 4y = 84
........................................................
- 2y = -34
y = 17
Solving for x
x = 25 -17
= 8
Therefore; there were 8 ducks and 17 horses in the field
Find the Sum.
213,857 +43,762
Factor completely 8y^2+6y+1
8y² + 6y + 1 = (4y + 1)(2y + 1)
The scale of a railroad train set is 3.5 mm to 1 foot if the link of the model car in this it is 150 mm what is the approximate length of an actual car
The actual length of car is 42.857 foot
Solution:
Given that,
The scale of a railroad train set is 3.5 mm to 1 foot
The link of the model car in this it is 150 mm
To find: Length of actual car
Let "x" be the length of actual acr
From given,
Scale is:
3.5 mm : 1 foot
Then, given that link of the model car in this it is 150 mm
Then we get,
3.5 mm : 1 foot
150 mm : x foot
This forms a proportion and we can solve the sum by cross multiplying
[tex]3.5 \times x = 1 \times 150\\\\x = \frac{150}{3.5}\\\\x = 42.857[/tex]
Thus the actual length of car is 42.857 foot
If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in a
month and 9 months in a school year, how many hours are there in a school
years
Answer:
1080hrs
Step-by-step explanation:
[tex] \frac{6hr}{1day} \times5 \frac{days}{week} [/tex]
days cancel, redefine week as =5days
[tex] \frac{30hr}{1week} \times 4 \frac{weeks}{month} [/tex]
weeks cancel redefine 4 weeks = 1 month
[tex] \frac{120hr}{1month} \times 9 \frac{month}{1year} [/tex]
months cancel, redefine 9months= 1years
[tex] \frac{120 \times 9}{1year} [/tex]
1080hrs per year (if I mathed 120x9 correctly that is, I didn't use a calculator so please double check that 120x9=1080)
Answer: 1080 hours
Step-by-step explanation:
30 kg into 5:3 ratio
Answer:
18.75 Kg : 11.25 Kg
Step-by-step explanation:
Sum the parts of the ratio, 5 + 3 = 8 parts
Divide 30 Kg by 8 to find the value of one part of the ratio
30 Kg ÷ 8 = 3.75 Kg ← value of 1 part of the ratio, thus
5 parts = 5 × 3.75 Kg = 18.75 Kg
3 parts = 3 × 3.75 Kg = 11.25 Kg
Annabella has a cup of raisins. She gave equal portions of 1/2 cups of the raisins to her for siblings which diagram could Annabella used to find the fraction of the love the each sibling receives
Answer:1/4
Step-by-step explanation:
can you find the simplest form of this math problem.
Answer:
- 7y²
Step-by-step explanation:
(0,01)⁻¹/² × ∛(- 343y⁶/1000) =
= -(1/100)⁻¹/² × ∛( - 7³y⁶/10³)
= - 100¹/² × 7y²/10
= -(10²)¹/² × 7y²/10
= - 10 × 7y²/10
= - 7y²
Answer:
-7y^2
Step-by-step explanation:
(0.01)^(-1/2) = (1/0.01)^(1/2) = 100^(1/2) = 10
(-343 × y^6 ÷ 1000)^(1/3) =
(-343)^(1/3) × (y^6)^(1/3) ÷ 1000^(1/3)
= -7 × y^2 ÷ 10 = -0.7y^2
10 × -0.7y^2
-7y^2
Complete the function table using the function rule f(x)=5x and answer the following questions
Approximately 68% of films are rated R. If 720 films were recently rated, how many were rated R?
Answer:
Approximately 490 films were rated R.
Step-by-step explanation:
Total films recently rated is 720. About 68% of the films were rated R. Thus, 68% of 720 is calculated below.
[tex]68\% \: of \: 720 \: films[/tex]
[tex] = \frac{68}{100} \times 720[/tex]
[tex] = 0.68 \times 720[/tex]
[tex] = 489.6[/tex]
[tex] = 490 \: films \: (approximated)[/tex]
Therefore, if 720 films were recently rated, 68% of films rated R is about 490 films.
What are all of the Angle measures
Answer:Type of Angle Description
Acute Angle is less than 90°
Right Angle is 90° exactly
Obtuse Angle is greater than 90° but less than 180°
Straight Angle is 180° exactly
Step-by-step explanation:
Answer:
∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°
Step-by-step explanation:
Solving for xWe can say that angle ABC and angle DBE are vertically opposite angles because there are only two intersecting lines. Vertically opposite angles are equal so we can form an equation:
4x + 2 = 5x - 13
5x - 4x = 2 + 13
x = 15
Angles ABC and DBENow we can substitute x into the equation and find out the value for angles ABC and DBE.
4(15) + 2 = 60 + 2 = 62°, just to make sure we need to substitute x into the other equation to see whether we get the same answer:
5(15) - 13 = 75 - 13 = 62°, now we can confirm that angles ABC and DBE are 62°.
Angles CBE and ABDNow we can use the rule, angles on a straight line add up to 180°, to find the other two angles, because these two angles are vertically opposite, they are also equal to each other.
180 - 62 = 118°
Angles CBE and ABD are both 118°
Jill traced the. three shapes shown out of cardboard for an art project. Select all of the shapes that will give Jill a piece of cardboard with the same total area. Please help!
Answer:
1st and 3rd figures have the same area
Step-by-step explanation:
1st figure is combined figure consisting of 4 m by 5 m rectangle and right triangle with legs
[tex]4-1=3\ m[/tex] and [tex]10-5=5\ m[/tex]
The area of the first figure is
[tex]A_{rectangle}=4\times 5=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{1^{st}\ figure}=20+7.5=27.5\ m^2[/tex]
2nd figure is combined figure consisting of 3 m by 6 m rectangle and right triangle with legs
3 m and [tex]1+3+1=5\ m[/tex]
The area of the second figure is
[tex]A_{rectangle}=3\times 6=18\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{2^{nd}\ figure}=18+7.5=25.5\ m^2[/tex]
3rd figure is combined figure consisting of 10 m by 2 m rectangle and right triangle with legs
3 m and [tex]10-5=5\ m[/tex]
The area of the third figure is
[tex]A_{rectangle}=2\times 10=20\ m^2\\ \\A_{triangle }=\dfrac{1}{2}\cdot 3\cdot 5=7.5\ m^2\\ \\A_{3^{rd}\ figure}=20+7.5=27.5\ m^2[/tex]
pls help me for part A and B if correct I will mark brainslit :)) !!
Answer:
answer choice b is the correct answer
Step-by-step explanation:
5/8 times 2 1/2
1 3/4
1 3/4 > 1 1/4
What is 10 +19. +20000000000000
The answer is 20000000000029
Which quadrilateral can be inscribed in a circle?
A) A
B) B
C) C
D) D
Answer:
The correct option is A
Therefore the quadrilateral in the option A can be inscribed in a circle.
Step-by-step explanation:
Given:
Four Quadrilateral, A ,B ,C ,D in the figure below.
For a quadrilateral to be inscribed in a circle we required opposite angles must be supplementary, that is it should add up to 180°.
So from the four given quadrilateral we have only in quadrilateral A the opposite angles are supplementary.
Quadrilateral A :
Consider the quadrilateral PQRS where
∠SPQ = 91°
∠PQR = 101°
∠QRS = 89°
∠SPQ and ∠QRS are opposite angles and their sum is 180°
[tex]\angle SPQ+\angle QRS = 91+89 =180[/tex]
Others in option B, C , and D opposite angles are not supplementary hence cannot inscribe in a circle.
Therefore the quadrilateral in the option A can be inscribed in a circle.
Answer:
c Mark me as the brainiest
Step-by-step explanation:
A quadrilateral that can be inscribed in a circle has vertices that lie on a single circle. A distinguishing property of such quadrilaterals is that they have opposite angles adding up to 180°. Non-rectangular parallelograms cannot be inscribed in circles, because their opposite angles are equal rather than supplementary.
2x246-2x3-194 add brackets to make the question right.
Answer:
(2*246)-(2*3)-194=492-6-194=292
Step-by-step explanation:
Jake paid 13.50$ for admission to the country fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost,c, of one ticket?
Family room measures 23 feet by 28 feet. They are covering the floor with tiles that measure 1 foot on a side and cost $0.94 each. How many will they spend on the tile?
Answer:
$605.36
Step-by-step explanation:
They will spend 644* 0.94 = 605.36
Sure you can write in one line
23*28*0.94 = $605.36
2x-4=10 reverse order algebra
Answer:
7
Step-by-step explanation:
2x-4=10
2x=10+4
2x=14
x=14/2
x=7
3. Bill's baseball bag weighs 4 pounds. If he takes out a pair of cleats
that weigh 6 ounces, how much will his bag weigh?
Answer:
58 ounces
Step-by-step explanation:
16 x 4=64 - 6=58 ounces
Final answer:
After converting the weight of the cleats from ounces to pounds, the new weight of Bill's baseball bag is determined to be 3.625 pounds by subtracting 0.375 pounds (weight of the cleats in pounds) from the original 4 pounds.
Explanation:
The subject of this question is Mathematics, specifically dealing with unit conversion and simple subtraction of weights. To determine the new weight of Bill's baseball bag after removing the cleats that weigh 6 ounces, we need to first convert the ounces to pounds, since the weight of the bag is given in pounds.
There are 16 ounces in one pound. Therefore, 6 ounces is equivalent to 6 ounces \/ 16 ounces per pound = 0.375 pounds. Starting with the original weight of the bag which is 4 pounds, subtracting the weight of the cleats in pounds will give us the new weight of the bag.
4 pounds - 0.375 pounds = 3.625 pounds. This is the weight of Bill's baseball bag after the cleats are removed.
for an unknown polynomial function p(x),p(2)+4=4, which binomial is a factor of p(x)?
Answer:i think it is 0
Step-by-step explanation:
You can use the fact that if (x-root) is a factor of a single variable polynomial function p(x) = 0
A binomial factor of p(x) is (x-2)
How to get factor of a single variable polynomial function if we know its one of the roots?Let its root be x = k
Then we have one of the factor of polynomial as (x-k)
What is a root of a single variable polynomial function p(x) ?Root of a polynomial function p(x) is a value of x such that putting that value in place of x makes the output 0.
Thus, if x = k is a root of the polynomial p(x), then
p(k) = 0
How to get a factor of the considered polynomial function?Since it is given that
p(2) + 4=4
thus,
p(2) = 4-4 = 0
Thus, x = 2 is a root of the polynomial function, and thus, using the aforesaid conclusions, we have (x-2) as one of the factors of the considered polynomial function.
Thus,
A binomial factor of p(x) is (x-2)
Learn more about polynomials here:
https://brainly.com/question/19508384
What is the distance between the coordinates (5,5) and (7,2)? Round your
answer to the nearest tenth.
Answer:
4
Step-by-step explanation:
when you write them down and draw a diaganal line from 7,2 to 5,5 it passes 4 intersections, so it would be 4 units. When you round if it is 4 or less it stays the same and if it is 5 or more then it changes so it would still be 4.
Stay Safe
Can someone help me with this math q?
Option A:
Lateral surface area = 1319 cm²
Solution:
Given image is the cone.
Radius of the cone = 15 cm
Slant height = 28 cm
Value of π = 3.14
To find the lateral surface area of the cone:
Lateral surface area = [tex]\pi r l[/tex]
[tex]=3.14\times 15\times28[/tex]
= 1318.8 cm²
Change this to nearest whole unit.
Lateral surface area = 1319 cm²
Hence the lateral surface area of the cone is 1319 cm².
Option A is the correct answer.
Determine the equation of the linear function that has a slope of -4 and passes through the point (2,-4). Write the equation in slope-intercept form and draw/graph the equation
Answer:
Part 1) [tex]y=-4x+4[/tex]
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=-4\\point\ (2,-4)[/tex]
substitute in the linear equation
[tex]-4=-4(2)+b[/tex]
solve for b
[tex]-4=-8+b\\b=8-4\\b=4[/tex]
substitute
[tex]y=-4x+4[/tex]
Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
What is larger? -1 or -4/3
Answer:
-4/3
Step-by-step explanation:
-4/3 is equal to -1 1/3 which is greater than just -1
Answer: -1 is ;larger
How do you find a volume of a sphere? Please explain. (Also if you can please someone answer the other questions I asked but it has not been answered.)
Thanks!
Answer:
V = (4/3)πr³
Step-by-step explanation:
The formula usually used to find the volume of a sphere is ...
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
where r represents the radius of the sphere.
The actual math involved will depend on what information about the sphere you are given. If you are given the radius or diameter (twice the radius), then this formula will be directly useful.
To determine the volume of a sphere, use the formula V = ([tex]\frac{4}{3}[/tex])πr³. Measure the radius, cube it, multiply by pi, and then multiply by 4/3.
To find the volume of a sphere, you use the formula:
V = ([tex]\frac{4}{3}[/tex])πr³
Here, V stands for volume, r represents the radius of the sphere, and π (pi) is approximately 3.14159.
Step-by-Step Explanation:
Measure the radius r of the sphere.Cube the radius (multiply it by itself three times): r³.Multiply the cubed radius by π (pi).Multiply the result from step 3 by 4/3.Ticketmaster charges $95 for Ariana
Grande's concert. They also charge
a surplus fee for services of $11.
Write a linear equation for the cost
of a ticket to see Ariana Grande's
Concert through Ticketmaster.
14)
Slope:
Y-Intercept
Equation:
The slope is the price of a ticket = 95
The y intercept is the service fee = 11
The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)
Equation: f(x) = 95x + 11
Answer:
The slope is the price of a ticket = 95
The y intercept is the service fee = 11
The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)
Equation: f(x) = 95x + 11
Organize the following polynomial expressions from least to greatest based on their degree: (2 points)
I. x + 2xyz
II. 9x3y2
III. 18x2 + 5ab − 6y
IV. 4x4 + 3x2 − x − 4
On arranging from least to greatest based on their degree:
[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]
Solution:
Given that,
Organize the following polynomial expressions from least to greatest based on their degree
Degree of polynomial is highest power of the variable in the algebraic expression
For polynomial with more than one variable, find the degree of each monomial and then add them and choose the largest exponent
[tex]I) x + 2xyz \\\\Degree\ of\ x = 1\\\\Degree\ of\ 2xyz = 1 +1 + 1 = 3[/tex]
Thus degree is 3[tex]II) 9x^3y^2\\\\Degree = 3 + 2 = 5[/tex]
Thus degree is 5[tex]iii) 18x^2 + 5ab - 6y\\\\Degree\ of\ 18x^2 = 2\\\\Degree\ of\ 5ab = 1 + 1 = 2\\\\Degree\ of\ 6y = 1[/tex]
Thus degree is 2[tex]iv) 4x^4 + 3x^2 -x-4\\\\Degree\ of\ 4x^4 = 4\\\\Degree\ of\ 3x^2 = 2\\\\Degree\ of\ x = 1\\\\Degree\ of\ 4 = 0 (since\ degree\ of\ constants\ is\ 0)[/tex]
Thus degree is 4On arranging from least to greatest based on their degree:
[tex]18x^2 + 5ab - 6y\\\\x + 2xyz\\\\4x^4 + 3x^2 -x-4\\\\9x^3y^2[/tex]
3 brothers have 58 years in total. How old is the youngest brother if 3/4 of his age equals to 2/3 of middle brother's age and 3/4 of youngest brother's age equals to half of oldest brother's age?
Step-by-step explanation:
Let O represents older brother
M represents middle brother
& Y represents younger brother.
Therefore, according to the given condition:
[tex] \frac{3}{4} y = \frac{2}{3} m = \frac{1}{2} o \\ \\ \therefore \: \frac{3}{4} y = \frac{2}{3} m \\ \implies \: m = \frac{3}{2} \times \frac{3}{4} y = \frac{9}{8} y \\ \\ next \: \: \frac{3}{4} y = \frac{1}{2} o \\ \implies \: o = \frac{2}{1} \times \frac{3}{4} y = \frac{3}{2} y \\ \\ \because \: o + m + y = 58 \\ \\ \therefore \: \frac{3}{2} y + \frac{9}{8} y + y = 58 \\ \\ \therefore \: \frac{12}{8} y + \frac{9}{8} y + \frac{8}{8} y = 58 \\ \\ \therefore \: \frac{29}{8} y = 58 \\ \\ \therefore \: y = 58 \times \frac{8}{29} \\ \\ \therefore \: y = 2 \times 8 \\ \\ \therefore \: y = 16 \: years[/tex]
Thus youngest brother is 16 years old.
Evaluate f(5):f(x) = x2 - 16x - 48
Answer:
f(5)=-103
Step-by-step explanation:
f(x) =x^2-16x-48
x=5
f(5)=5^2-16*5-48
f(5)=25-80-48
f(5)=-103