Step-by-step explanation:
1.5 cm in the picture is 9 cm in reality.
1.5 × f = 9
f = 9/1.5 = 6
so, the scale factor of the picture is 1/6 of reality.
Factor the expression 4x + 32. Explain each step you
take in the process.
Answer:
4(x+8)
Step-by-step explanation:
4(x+8)= 4 X x + 4 X 8
= 4x + 32
Answer: 4(x+8)
because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32
Step-by-step explanation:
Use the distributive property to simplify the
expression.
8(3 + 4) = 24+ ?
Answer:
32
Step-by-step explanation:
8(3 + 4) ← multiply each term in the parenthesis by 8
= 8(3) + 8(4)
= 24 + 32
brainliest for correct answer
the answer to this problem is 63
Answer:
A
Step-by-step explanation:
47+58=105 then you just subtract 7 from 75 and you get 68 than you divide 68 by 2
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}
The answer is 2. Solve if you can. It is 100% correct.
[tex]\\ \rm\Rrightarrow \sqrt{9-4\sqrt{5}}+\sqrt{5}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9-8.8}+2.2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{0.2}+2.2[/tex]
[tex]\\ \rm\Rrightarrow 0.3+2.2[/tex]
[tex]\\ \rm\Rrightarrow 2.5[/tex]
[tex]\\ \rm\Rrightarrow 2(approx)[/tex]
Answer:
Algebraic "proof" that the solution is 2:
[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}[/tex]
[tex]=\sqrt{4-4\sqrt{5}+5 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{2^2-4\sqrt{5}+(\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5}[/tex]
[tex]=(2-\sqrt{5})+\sqrt{5}[/tex]
[tex]=2[/tex]
However, this is not the correct mathematical solution to the problem.
The order of operations for [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] dictate that the operation inside the parentheses must be carried out first.
As [tex]2-\sqrt{5} < 0[/tex], then [tex](2-\sqrt{5})^2[/tex] will always be positive.
If [tex](2-\sqrt{5})^2[/tex] is always positive, then [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] will always be positive.
As √5 > 2 and [tex]\sqrt{(2-\sqrt{5})^2 } > 0[/tex] then [tex]\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5} > 2[/tex]
So mathematically, the actual solution to the expression is 2.47 (nearest hundredth) not 2.
Factor the polynomial completely using the x method. x2 16x 48 an x-method chart shows the product a c at the top of x and b at the bottom of x. above the chart is the expression x squared 16 x 48. which equivalent four-term polynomial can be created using the x method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x 48
The equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
How to find factor of polynomial using X method?The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result. X-method is the method to find the factors of the polynomial equation.
The polynomial equation is given as,
[tex]x^2 +16x +48[/tex]
An x-method chart shows the product a c at the top of x and b at the bottom of x for the standard polynomial equation. The standard polynomial equation can be given as,
[tex]ax^2+bx+c[/tex]
Comparing the given equation with standard polynomial equation, we get,
[tex]a=1\\b=16\\c=48[/tex]
The x method chart is attached below for the given equation.
The terms 16 x can be divided into the two terms 12x and 4x using the X-method. Thus the equation will become,
[tex]x^2 +12x +4x+ 48[/tex]
Thus, the equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
Learn more about the X method here;
https://brainly.com/question/24379507
Answer:
C. x2 + 12x + 4x + 48
Andrea has placed a stamp on 1 of the 4 envelopes shown below.
What fraction of the set of 4 envelopes did Andrea place the stamp?
Answer:
1/4
Step-by-step explanation:
The one of of four makes the fraction 1/4. Reason: MATH
PS:
PLS MARK ME AS BRAINLEST
the legend on the map states that 1 cm is 15 km. if you measure 11 cm on the map, how many kilometers would the actual distance be?
Answer:
165 km
Step-by-step explanation:
We know the ratio of map distance to actual distance is 1 cm : 15 km
Multiplying both sides by 11, we have 11 cm : 165 km
A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, six vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 114 150 3,066 6,138
Answer:
6,138
Step-by-step explanation:
Given the following:
Vocalist needed :
First day (a) = 6
For subsequent days : number doubles
Using the relation. :
Sn = a(r^n -1)/(r -1)
Where a = first term = 6
r = common ratio = r3/r2 = r4/r3
Since number doubles after each consecutive day, then ; r = 2, n = 10
Sn = 6(2^10 -1)/(2 -1)
Sn = 6(1024 - 1) / 1
Sn = 6144 - 6
Sn = 6138
Please help me with this
Answer:
Just search from other websites
Step-by-step explanation:
easy
Encuentra el volumen de un cubo de 3:5 cm de arista
Answer:
Step-by-step explanation:
Dado que la longitud, la profundidad y la altura de un cubo son iguales, podemos acortar el proceso elevando al cubo cualquiera de estas medidas. Sigamos con el ejemplo. Dado que la longitud de cualquier arista de este cubo es de 5 cm (2 pulgadas), podemos hallar el volumen multiplicando 5 x 5 x 5 (o 53) = 125.
Question 10 of 10
Which best describes the range of a function?
A. The greatest possible input value
B. The greatest possible output value
C. The set of all possible input values
D. The set of all possible output values
Step-by-step explanation:
D.the set of all possible output values.
The probability of a dart landing in the shaded area is approximately
Answer:
79%
Step-by-step explanation:
Area of rectangular region = 3*6 = 18 sq inches
Diameter of circle = 3 in
-> radius (r) = 3/2 = 1.5 inches
[tex]Area \: of\:both \: circular \: regions \\ =2( \pi {r}^{2} ) \\ =2( 3.14 \times {1.5}^{2} ) \\ = 14.13 \: {in}^{2} \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = \frac{Area \: of \: both \: circular \: regions}{Area \: of \: rectangular \: region} \\ = \frac{14.13}{18} \\ = 0.785 \\ \approx \: 0.79\\=79\%[/tex]
A group of friends decides to share a limo for prom. The rental cost is $750 plus a $25 fee for each occupant. There is a
minimum of two passengers, and the limo can hold up to 14 people. Write and solve an inequality to determine how many
people can share the limo for less than $120 per person.
Answer:
8 people
Step-by-step explanation:
120x=750+25x
120x-25x=750
95x=750
x=7.89
round up to 8 and check answer
(25×8)+750=950
950÷8 people =$118.75 per person
Rats have recently become a nuisance in Norwood. Efforts to control the rat problem have led to the rat population declining by 15% every year. If the town currently has 13,000 rats, how many rats will there be in 3 years?
The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the population of the chicken after x year.
The initial population of 13000 rats, hence a = 13000
The rat population declining by 15% every year. b = 1 - 0.15 = 0.85
The exponential function is given by y = 13000(0.85)ˣ
In 3 years; y = 13000(0.85)³ = 7984
The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984
Find out more on exponential function at: https://brainly.com/question/12940982
pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
area = 84 cm²
Step-by-step explanation:
the quadrilateral is made up of 2 triangles ABD and BDC
area of Δ ABD = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
A = [tex]\frac{1}{2}[/tex] × BD × AE = [tex]\frac{1}{2}[/tex] × 14 × 7 = 7 × 7 = 49 cm²
area of Δ BDC = [tex]\frac{1}{2}[/tex] × BD × CF = [tex]\frac{1}{2}[/tex] × 14 × 5 = 7 × 5 = 35 cm²
area of ABCD = 49 + 35 = 84 cm²
Solve for x in the equation X^2+2x+ 1 = 17
x=-1+ V15
x=-17 17
X=-2+25
x=-12 13
Answer:
it would be the last answer
Step-by-step explanation:
What does 2(3) mean?
You are adding orange juice to a 10-liter capacity jar. The equation 3x – 2y = -5 relates the amount of juice y, in liters, with the number of minutes, x, you add juice. How much juice was in the jar to start?
At what rate is the jar filled?
Answer: 5/2 liters (or 2.5 liters) of juice were in the jar to start.
The jar was filled at a rate of 5 minutes.
Step-by-step explanation: Firstly, rearrange the equation so that y = mx + b. If you move the x over, you get -2y = -3x -5. To get rid of the -2 in front of the y, divide both sides by -2. Then you get y = 3/2x + 5/2.
The amount of juice in the jar initially is b, also known as the y-intercept.
If you look at the equation, you see that 5/2 is our y-intercept which means the jar initially had 5/2 liters of juice at the start (this is the same as 2.5 liters because 5 divided by 2 is 2.5).
To find the rate at which the jar was filled, you need to solve for x. Plug in the 10 liters for the y and solve.
y = 3/2x + 5/2
10 = 3/2x + 5/2
Now, subtract 5/2 from both sides.
7.5 = 3/2x
Divided both sides by 3/2 to get x alone, which will give you the number of minutes in which the jar was filled.
5 = x
The jar was filled at a rate of 5 minutes.
Item 21
Question 1
Write and solve an inequality that represents the value of x.
Area <30 cm2
Answer:
1st: 5x
2nd: 6ft
Step-by-step explanation:
I really don't know how just got the answer right.
I need help with this question
Answer: (2)
Step-by-step explanation:
(4/25) to the power of negative 1/2
Answer:
5/2
Step-by-step explanation:
[tex] {( \frac{4}{25} )}^{ - \frac{1}{2} } [/tex]
Apply indices rule and Simplify
[tex] \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} [/tex]
[tex] = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} [/tex]
Solve x - 2. 6 Greater-than-or-equal-to 9. 4 and graph the solution on the number line. Which statements are true? Check all that apply. X Greater-than-or-equal-to 12 x Greater-than-or-equal-to 6. 8 A closed circle is used on the graph. An open circle is used on the graph. The arrow on the graph points left. The arrow on the graph points right.
Answer:
X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.Step-by-step explanation:
This one-step inequality can be solved by adding the opposite of the constant that is added to x. A number line graph of the solution is attached.
x -2.6 ≥ 9.4
x ≥ 12.0 . . . . . . add 2.6 to both sides
The "greater than" relation means that numbers larger than 12 will be included in the solution set. Shading of the number line will be to the right of 12.
The "or equal to" relation means that 12 itself is included in the solution set. This is indicated by a closed circle at 12 on the graph.
The true statements are ...
X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.Answer:
A C F are the answers for the question
Suzy has 3 apples and 2 cherries how much fruit does she have?
Answer:
5
Step-by-step explanation:
3+2=5
✎Question:.
[tex]Suzy \: has \: 3 \: apples \: and \: 2 \: cherries \: how\: much \: fruit \: does \: she \: have?[/tex]
✎Given:
3 apples2 cherries✎Answer:
Total fruits=apples+cherries
=2+3
=5✓
The temperature at noon on a cold winter day was −14 3/4 °F. By evening, the temperature had dropped to −18 1/4 °F. By how much did the temperature change?
Answer:
temperature decreased by -3.5 degrees
Step-by-step explanation:
-14 3/4 = -14.75
-18 1/4 = -18.25
-14.75 + X = -18.25
X = -3.5 or -3 2/4
There are 40 cows and 15 chicken. Compare the number of cows to the number of chicken. Write you answer three ways. Your answer
Answer:
they're are more cows than chickens, they're less chickens than cows, the number of cows is 25 more than the number of chickens
Step-by-step explanation:
hope this helped love!
Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should he put in each cup/
Answer:
36
Step-by-step explanation:
Take 504 ounces of that lemonade and divide that into 14 cups.
And you get 36 ounces for each cup.
Answer:
36
Step-by-step explanation:
504 divided by 14 = 36
Please solve the question. Unit 10: circles homework 2: Central angles, arc measures, and arc length.
The central angle (127 degrees) is the angle at point K
The measures of JL and JML are 127 and 233 degrees, respectively
How to determine the measures of angles JL and JML?From the complete question, we have:
JL = 127 degrees.
The sum of angles at a point is 360 degrees
So, we have:
JML + 127 = 360
Subtract 127 from both sides
JML = 233
Hence, the measures of JL and JML are 127 and 233 degrees, respectively
Read more about circles and arcs at:
brainly.com/question/25305793
Matty and his friends ate 4/5 of the 10 pieces of jolly ranchers that they had. Which is a reasonable answer for 4/5 x 10
4/5
8
10
Answer:
the answer is 8
Step-by-step explanation:
first i did 4/5x2=8/5=8/10
Answer:
8.
Step-by-step explanation:
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find the value of x will mark brainliest and all tht jazz
Answer:
x = 20
Step-by-step explanation:
these are alternate interior angles, which means they're equal.
you can use that information to make this equation:
x + 40 = 3x
subtract x from both sides
40 = 2x
divide both sides by 2
20 = x
help asap for brainlist!!!
Answer:
The system of equations has no solution.
Step-by-step explanation:
set them equal to eachother. 3x+9=3x-4
Subtract 3x from both sides, giving you 9=-4, which is an equation that is not true because 9 does not equal negative 4. Therefore, there is no solution to this system.