Answer:
24.5
Step-by-step explanation:
Year 2000 would be 1, so year 2016 would be 17
Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:
1.5(17) - 1
25.5 - 1
24.5 is our estimated population using the line of best fit.
Answer:
23
Step-by-step explanation:
Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.
We can just put this number into the equation:
y=1.5(16)-1
y=24-1
y=23
Help help help please I need help fast
The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five
Please Mark brainliest
Answer:
The answer is x=7/5
Step-by-step explanation:
because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5
What is the distance between c and d
Answer:
5 units apart.
Step-by-step explanation:
You can figure this out by:
a- You can count the squares in between the two points.
OR
b- You would find the absolute value of both the x values and add them together to see the overall length from each other that they are.
So when you complete either one of these tactics you would get an answer of 5 units apart.
The average (arithmetic mean) of a - 5 and a is x, and the average of a and a + 9 is y. What is the average of x and y?
a + 1
B) a +2
C) 2a + 1
D) 2a + 2
Answer:
The answer is "Option A"
Step-by-step explanation:
Given:
[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]
solve the above equation:
[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]
add both value (x and y):
[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]
average of x and y:
[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]
URGENT!! HELP! 25 POINTS FOR THESE QUESTIONS!
Answer:
The correct options are;
A. 120
B. 34
Step-by-step explanation:
The given parameters are;
Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order
Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows
When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other digits is 24
Arrangement, Number of ways
1, 2, 3, 4, 5, 6, 24
1, 4, 2, 18
1, 4, 5, 2, 12
1, 4, 5, 6, 2, 6
4, 1, 2, 18
4, 1, 5, 2, 12
4, 1, 5, 6, 6
4, 5, 1, 2, 12
4, 5, 1, 4, 2 6
4, 6, 5, 6
Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways
The correct option is A. 120
2. The dimensions of the original rectangle = L by W
The dimensions of the lager rectangle = 1.5·L by 2·W
1.5·L × 2·W = 30
Given that L > W
∴ L×W = 30/(1.5 × 2) = 30/3 = 10
The possible integers that have a product of 10 are;
1 × 10 and 5 × 2
Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4
Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23
Therefore, the largest possible rectangle is 34
The correct option is B. 34.
Answer:
The correct options are;
A. 120
B. 34
Step-by-step explanation:
The given parameters are;
Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order
Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows
When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other digits is 24
Arrangement, Number of ways
1, 2, 3, 4, 5, 6, 24
1, 4, 2, 18
1, 4, 5, 2, 12
1, 4, 5, 6, 2, 6
4, 1, 2, 18
4, 1, 5, 2, 12
4, 1, 5, 6, 6
4, 5, 1, 2, 12
4, 5, 1, 4, 2 6
4, 6, 5, 6
Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways
The correct option is A. 120
2. The dimensions of the original rectangle = L by W
The dimensions of the lager rectangle = 1.5·L by 2·W
1.5·L × 2·W = 30
Given that L > W
∴ L×W = 30/(1.5 × 2) = 30/3 = 10
The possible integers that have a product of 10 are;
1 × 10 and 5 × 2
Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4
Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23
Therefore, the largest possible rectangle is 34
The correct option is B. 34.
A solid shape is made from centimetre cubes.
Here are the plan, side elevation and
Centimetre cubes are added to
front elevation of the shape.
make this cuboid.
Plan Side elevation Front elevation
40
4 cm
3 cm
How many cubes are added?
Write your final answer as,... cubes are added.
Answer:
30 cubes are added
Step-by-step explanation:
The image of the solid shape is attached.
From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.
30 cubes are added
The number of cubes that are added is 30.
What is Cube?
A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.
From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid
= 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added
= 48 cubes - 18 cubes
= 30 cubes.
30 cubes are added.
Hence, The number of cubes that are added is 30.
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HELP PLEASE!!! How do I solve this?
Answer:
32
Step-by-step explanation:
tanx=opp/adj.=40/64=5/8=0.625
find tan^-1= 32 degrees
Answer:
A. 32°
Step-by-step explanation:
[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]
...................
Answer:
x = a(c + b)
Step-by-step explanation:
Step 1: Add b to both sides
x/a = c + b
Step 2: Multiply both sides by a
x = a(c + b)
Finding which number supports the idea that the rational numbers are dense in the real numbers?
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Answer:
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.
A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.
These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.
In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.
With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component
Answer:
d
Step-by-step explanation:
Please please help me ❤️❤️❤️
Answer
Step-by-step explanation:
Materials
Water Bottles or Pop Bottles
Glow Sticks
Foam Sheets
Pipe Cleaners
Googly Eyes
Tissue Paper
Mod Podge
Hot Glue Gun
Instructions
Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.
Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.
Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.
Cut 2 wings out of the foam and glue it to the top.
Place your glow stick inside the bottle.
Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.
Type the correct answer in each box, If necessary, use / for the fraction bar(s).
1
-1
The point on the number line shows the opposite of
or the opposite of the opposite of
Reset
Next
Answer: -1/1
Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.
For any number y, ⌂y=2y3 . What is the value of ⌂2 + ⌂5 ? NEED HELP ASAP
Answer:
276
Step-by-step explanation:
∆y = 2y3
∆2 = 2(2)3 = 16
∆5 = 2(5)3 = 250
∆2 + ∆5 = 250 + 16 = 276
Rewrite the expression in the form k x z^n .
Answer:
(squareroot2^2) times 27 (1/2)
Step-by-step explanation:
Answer:3z^2/9
Step-by-step explanation:
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16. 0.05 x + 0.25 y = 2.95. x + y = 2.95. 0.10 x + 0.25 y = 16. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.
Step-by-step explanation:
You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.
Hope this helped you! Feel free to ask any further questions!
The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?Suppose the number of dimes be x and the number of quarters be y.
According to question there are 16 coins, so
x+y=16-----1
1 dime=$0.10
1 quarter=$0.25
According to question Hamid has $2,95 ,so
0.10x+0.25y=2.95.
Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
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A linear function includes the ordered pairs (0, 3), (3, 9), and (9, n). What is the value of n?
Answer:
the value of n will be the range
Step-by-step explanation:
lets just give an example of (9,n) and you had to find the value its actually simple
9 is the domain
n is the range
a part of ordered pair function
got it?
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16), (2, 0) (0, –12), (–6, 0), (2, 0)
Answer:
(-6, 0) and (2, 0)
Step-by-step explanation:
To find the x-intercepts, we can factor the expression:
f(x) = x² + 4x - 12
2 factors of -12 that add up to 4 are 6 and -2
(x + 6)(x - 2)
Set each factor equal to 0 and solve for x:
x + 6 = 0
x = -6
x - 2 = 0
x = 2
So, the x intercepts are (-6, 0) and (2, 0)
Answer:
It's the first option, (-6, 0) (2, 0)
Step-by-step explanation:
100% on Edge
Simplify 2(x - 3) + 7(x + 2)
Answer:
9x + 8.
Step-by-step explanation:
2(x - 3) + 7(x + 2)
= 2x - 6 + 7x + 14
= 2x + 7x - 6 + 14
= 9x + 8.
Hope this helps!
Martin is an after-school math tutor. He noticed that 6 people still needed help and only 2/5 of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted. 2/5÷6 Which expression is equivalent to Martin’s expression? A.6/15÷6 B.6/5÷2 C.5/2÷6 4.2/5÷6 Help!! A:18 ÷2/9 B:18×2/9 C:2/9
Answer:
A
Step-by-step explanation:
Trust me on this and I also have a reason.
Divide 2/5 by 6 to get 1/15, then divide 6/15 by 6 to get 1/15, and both of these are simpflied.
Can I also get brainlest, I hope you do well!
The expression equivalent to Martin's expression is A. 6/15 ÷ 6.
What is Division?Division is simply the opposite operation of multiplication. It is one of the basic mathematical operations where a number is divided into equal parts as that of another number.
The number being divided is called dividend and the number which divides dividend is called divisor. The resulting number after the operation is called quotient.
We have to divide the expression 2/5 ÷ 6.
When a fraction is divided by another number the divisor is change into it's reciprocal and the multiplied to the dividend.
Here dividend = 2/5 and divisor = 6
Reciprocal of 6 = 1/6
So 2/5 ÷ 6 = (2/5) × (1/6) = 2/30 = 1/15
Simplify the numbers in the options.
A. 6/15 ÷ 6 = (6/15) × (1/6) = 1/15
Hence the equivalent expression of 2/5 ÷ 6 is 6/15 ÷ 6.
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Please help! math is hardddd :(
Answer:
12 in²
Step-by-step explanation:
The area of a triangle is base × height × 1/2.
b × h × 1/2
6 × 4 × 1/2
24 × 1/2
= 12
The area is 12 in².
Answer:
12 in^2Solution,
Base(b)=6 inches
Height(h)=4 inches
Area of triangle=?
Now,
[tex]area \: of \: triangle \\ = \frac{bh}{2} \\ = \frac{6 \times 4}{2} \\ = \frac{24}{2} \\ = 12 \: {inches}^{2} [/tex]
hope this helps ..
Good luck on your assignment...
write down the value of 5 in 19.54
Answer:
10ths Place (Decimal)
Step-by-step explanation:
Whole numbers:
The 1 in 19.54 is in the tens place.
The 9 is in the ones place.
Decimals:
The 5 is in the tenths place.
The 4 is in the hundredths place.
Answer:
look below for your answer
Step-by-step explanation:
5 is in the tenth column
i hope i helped you
please mark my answer as brainliest
Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days?
Answer:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Company A will charge $ 37 less than Company B
Part C:
Company A will charge $ 65 less than Company B
Step-by-step explanation:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Renting a car for 6 days
Company A:
35 * 6 + 15 = 210 + 15 = $ 225
Company B:
42 * 6 + 10 = 252 + 10 = $ 262
Company A will charge $ 37 less than Company B
Part C:
Renting a car for 10 days
Company A:
35 * 10 + 15 = 350 + 15 = $ 365
Company B:
42 * 10 + 10 = 420 + 10 = $ 430
Company A will charge $ 65 less than Company B
5. In an A.P, the sum of three consecutive terms is 24. When 1 is subtracted to the first term, 2 to the
second, then the terms form a G.P. Find the terms of the A.P.
Answer:
Step-by-step explanation:
Let the three numbers be a-d, a, a+d being a series in AP.
The sum of the three numbers is 24 = a-d+ a+ a+d = 3a
Thus a = 8.
Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or
(a-d-1)(a+d) = (a-2)^2 or
(8-d-1)(8+d) = (8-2)^2, or
(7-d)(8+d) = 36, or
56 -8d +7d -d^2 = 36, or
56 -8d +7d -d^2 - 36 = 0, or
d^2 +d -20 = 0
(d+5)(d-4) = 0
Thus d = -5 or 4
So the AP is 13,8,3 or 4,8,12
Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)
4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2
Which of the following is equal to 5 1/3
Answer:
C
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C
PLS HELP, URGENT!!
What is the following simplified product? Assume x >/= 0. ( sqrt 6x^2 +4 sqrt 8x^3) (sqrt 9x -x sqrt 5x^5)
A correct option is an option (d)
The given expression is,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]
Now, simplifying the given expression as,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]
So, the correct option is an option (d).
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NEED MATH HELP NOW. Please solve for x-intercept.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
2x²-8x+6=0x²-4x+4=1(x-2)²=1x-2=1 ⇒ x= 3x-2= -1 ⇒ x= 1Answer:
(1, 0) / (3, 0)
Step-by-step explanation:
Choose the best estimate for the division problem below.
64.309/7.19
A. 12
B. 14
C. 9
Answer:
The estimated answer would be 9
Step-by-step explanation:
The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Answer:
4=x
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2) distribute
1.5x+6-3 = 4.5x-9 subtract 1.5x from each side
3=3x-9 add 9 to both sides
12=3x divide by on both sides
4=x simplify
Answer:
x=4
Step-by-step explanation
Am I right or wrong (don't answer the last one!)
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
- 14 + 6m = 10
Distributive Property of Multiplication
2 is distributed to -7 and 3m
- 14 + 14 + 6m = 10 + 14
Addition Property of Equality
Adding 14 to both sides.
6m = 24
Simplifying
Simplifying the equation.
[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]
Division Property of Equality
Dividing both sides by 6.
En una fiesta se desea elegir un grupo de 3 personas de entre 6 matrimonios, si dos miembros de la misma pareja no pueden ser elegidos para formar parte de ese grupo. De cuantas maneras diferentes se puede formar el grupo de 3 personas?
Answer:
Hay 160 maneras
Step-by-step explanation:
Para calcular de cuántas maneras se puede seleccionar x elementos de un grupo de n elementos podemos usar la siguiente fórmula:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
Si vas a elegir 3 personas de entre 6 matrimonios y dos miembros de la misma pareja no pueden ser elegidos, entonces podemos decir que se está eligiendo 3 matrimonios y en cada matrimonio se está eligiendo un representante.
Entonces, podemos calcular de cuántas maneras se puede escoger 3 matrimonios de los 6, así:
[tex]6C3=\frac{6!}{3!(6-3)!}=20[/tex]
Adicionalmente, para cada uno de los 3 matrimonios hay 2 opciones para ser representantes. Esto significa que hay [tex]2^3[/tex] maneras de escoger representantes en cada una de las 20 formas calculadas anteriormente.
Por lo tanto se puede formar el grupo de 3 personas de 160 maneras diferentes:
[tex]20*2^3=160[/tex]
express x^2-8x+20 in the form (x-a)^2+a where a is an integer
Answer:
(x-4)²+4
Step-by-step explanation:
Answer:
[tex](x-4)^2+4[/tex]
Step-by-step explanation:
[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]
Cape Beale Lighthouse, BC, is
on a cliff that is 51 m above sea
level. The lighthouse is there
to warn boats of the danger of
shallow waters and the
possibility of rocks close to the
shore. The safe distance for
boats from this cliff is 75 m. If
the lighthouse keeper is 10 m
above ground and observes a
boat at an angle of depression
of 50°, is the boat a safe
distance from the cliff? Justify
your conclusion.
Answer:
tan 50 = (51+10)/x where x is the distance of the boat
x = 51.2 m
Boat is in an unsafe area
Step-by-step explanation:
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