Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
10, 11, 12
Step-by-step explanation:
For problems involving consecutive integers, I like to consider their average value. For three consecutive integers, their average will be the middle one. It will be ...
average = sum / (number of numbers) = 33/3 = 11
The middle number is 11, so the numbers are ...
10, 11, 12
_____
If you want to write an equation, you can let x represent the middle number. Then the other two are x-1 and x+1, and their sum is ...
(x-1) +(x) +(x+1) = 33 = 3x
x = 11 ⇒ x-1 = 10, x+1 = 12
What are three collinear points on line l?
points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G
Answer:
Points A, F, and G are three collinear points on line l.
Step-by-step explanation:
Answer:
Points A, F and G
Step-by-step explanation:
Each serving of a pancake recipe calls for 1/4 cup of flour. How many servings can be made with 2 cups of flour?
Answer:
The correct answer is 8 servings of pancakes.
Step-by-step explanation:
If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.
To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.
1/4 = 0.25
Next, we can go ahead with the division.
2 / 0.25 = 8
Therefore, 8 servings of pancakes can be made with 2 cups of flour.
Hope this helps!
The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.
Answer:
2,041 square centimeters
Step-by-step explanation:
surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)
where,
cylinder base radius (r) = 10 cm
height of cylinder (h) = 16 cm
total height = 28 cm
cone height (c) = total height - height of cylinder = 28 - 16 = 12cm
π = 3.14
surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)
surface area = 1004.8 + (31.4 * 25.6) + 314
surface area = 2122.64 cm²
therefore the approximate surface area given is 2,041 square centimeters
if b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac
Answer:
ac is 200% of cd
Step-by-step explanation:
To answer this question, we shall be making a visual representation.
Let’s take it one at a time.
Given;
b is the midpoint of ac
a b c
What this means is that a-b represents 50%, while bc represents another 50%
okay, we move on:
c is the midpoint of bd
b c d
What this means is that bc is 50%, while cd is another 50%.
So let’s combine the representations;
a 50% b 50% c 50% d
Now what does the question says again?
What percent of cd is ac?
From a to c, we can see two 50% which means 100%
while cd is just the regular 50%
So we can see that ac is actually twice cd
What we are saying here is , if cd is x, then ac is 2x
So we can restructure our question to mean, what percent of x is 2x?
That is simply 2x/x * 100 and that is 200%
Answer: ac is 200% of cd
Step-by-step explanation:
WILL GIVE BRAINLIEST
intercept is the length from origin to intersection point of respective axis,
it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)
and similarly, y intercept is (0,5.5)
Answer:
(- 7.5, 0 ) and (0, 5.5 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept
(- 7.5, 0 )
The y- intercept is the value of y on the y- axis where the line crosses.
Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept
(0, 5.5 )
The fraction subtracted from 5/3 to get 1 is_____
Answer:
2/3
Step-by-step explanation:
I am not sure
Answer:
2/3Step-by-step explanation:
[tex]Let \:the \: unknown \: fraction \: be \: x\\\\\frac{5}{3} -x = 1\\\\\frac{5}{3}-x=1\\\\\mathrm{Subtract\:}\frac{5}{3}\mathrm{\:from\:both\:sides}\\\\\frac{5}{3}-x-\frac{5}{3}=1-\frac{5}{3}\\\\\frac{5}{3}-x-\frac{5}{3}=-x\\\\1-\frac{5}{3}=-\frac{2}{3}\\-x=-\frac{2}{3}\\\\x=\frac{2}{3}\\[/tex]
Double a number decreased by 25.6 is equal to 90 Find the number
Answer:
Step-by-step explanation:
2x-25,6=90
2x=90+25,6
2x=115,6
x=57,8
Answer:
The number is 57.8
Step-by-step explanation:
Let x = number
2x -25.6 = 90
Add 25.6 to each side
2x-25.6 +25.6 = 90+25.6
2x=115.6
Divide by 2
2x/2 =115.6/2
x =57.8
The Gonzalez family drove from 10:38 am to 2:05 pm. How long did they drive?
Answer:
3 hours and 27 minutes
Step-by-step explanation:
2:05 pm = 14:05 hours
1 hour = 60 minutes
14:05 = 13 hours + 60 minutes + 5 minutes = 13 hours + 65 minutes
then:
13h 65m
- 10h 38m
= 3h 27m
they drive:
3 hours and 27 minutes
A line passes through point (4,-3) and has a slope of 5/4. Write an equation in Ax + By = C
Answer:
The answer is
5x - 4y = 32Step-by-step explanation:
To write an equation of a line using a point and slope use the formula
y - y1 = m(x - x1)where
m is the slope
(x1 , y1) is the point
So we have
Equation of the line using point (4 , -3) and slope 5/4 is
[tex]y + 3 = \frac{5}{4} (x - 4)[/tex]
Multiply through by 4
4y + 12 = 5(x - 4)
4y + 12 = 5x - 20
5x - 4y = 20 + 12
The final answer is
5x - 4y = 32Hope this helps you
look at the image to get ur question thank u for ansering
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
What’s the difference between rational and irrational numbers?
Answer:
rational numbers are perfect squares irrational numbers are non terminating/go on forever
Step-by-step explanation:
Donny has three times as many candy canes as Marc. Marc has thirty more candy canes than Bob. They have 500 candy canes altogether. How many candy canes does Donny have?
Answer:
318
Step-by-step explanation:
Bob=x
Marc=x+30
Donny=3(x+30)
x+x+30+3x+90=500
5x=500-120
5x=380
x=76
Bob has x = 76
Marc has x+30=106
Donny has 3*112=318
318+106+76=500
You move at 45/mph and a bullet is shot at you, the bullet is moving at 44/mph
Would you be able to dodge the bullet, you factor in the fight or flight or freeze response
Answer:
See explanation below.
Step-by-step explanation:
A bullet shot at you will definitely hit you because of the direction it is travelling.
Your fight and flight response won't be activated either because of the speed of the event (bullet) or if you don't know how harmful a gun is (you'll remain calm/ignorant in this case)?
Try to post academic problems.
Best Regards!
Do the ratios 2/3 and 12/18 form a proportion?
yes
no
Answer:
Yes
Step-by-step explanation:
Because 12/18 = 2/3..(cancel 12 and 18 by 6)
Answer:
yes
Step-by-step explanation:
2x6=12
3x6=18
6 is the multiplying number
( the 2 equations are the same amount )
the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?
Answer:
Minimum People required = 5
Step-by-step explanation:
Total hours required to complete the work every week = 150 hrs.
Number of hours worked per week by one person = 32 hr
∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person
∴ Number of people = 150 ÷ 32
∴ Number of people = 4.6875
This is the minimum number of people. But no of people cannot be a fraction.
Thus, rounding the number to next integer.
∴ Smallest number of people needed to complete the work = 5
Rodrigo and his cousin have 8 bags of marbles. Some of the bags contain 5 white marbles. The rest of the bags contain 7 pink marbles. They have 48 marbles in all. How many bags of each color marble do the cousins have?
Answer:
The cousins have 4 bags of white marbles and 4 bags of pink marbles.
Step-by-step explanation:
If x is the number of bags with white marbles and y is the number of bags with pink marbles, we can write the following system:
x + y = 8 -- Equation 1
5x + 7y = 48 -- Equation 2
5x + 5y = 40 -- Equation 3 (Multiply Equation 1 by 5)
2y = 8 -- (Subtract Equation 3 from 2)
y = 4 -- (Divide both sides by 2)
x + 4 = 8 -- (Substitute y = 4 into Equation 1)
x = 4 -- (Subtract 4 from both sides)
I need help please :(
Answer:
[tex] 5^{-3} = \dfrac{1}{125} [/tex]
Step-by-step explanation:
Rule of negative exponents:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
This problem:
[tex] 5^{-3} = \dfrac{1}{5^3} = \dfrac{1}{5 \cdot 5 \cdot 5} = \dfrac{1}{125} [/tex]
Answer:
[tex]\boxed{\frac{1}{125}}[/tex]
Step-by-step explanation:
[tex]5^{-3}[/tex]
Apply rule:
[tex]\displaystyle a^{-b}=\frac{1}{a^b}[/tex]
[tex]\displaystyle 5^{-3}=\frac{1}{5^3}= \frac{1}{125}[/tex]
commom difference of an AP -4 , -4 , -4 ,............is...
Answer:
0
Step-by-step explanation:
Common Difference = Difference between any two consecutive terms
= - 4 - (-4)
= - 4 + 4
= 0
if the side length of a square can be represented by 4x + 4 and its area is 1024 square units, find the value of x
Answer:
x = 7
Step-by-step explanation:
Since it’s the area of a square, we can simply do square root of 1024. (Because to get area of square you do side x side). Which is 32.
So basically 4x + 4 = 32... x = 7
Answer:
x = 7
Step-by-step explanation:
A = 1024
side length of a square = 4x + 4
A = s²
s = √A
s = √1024
s = 32
using the side length to get the value of x
s = 32
4x + 4 = 32
4x = 32 - 4
x = 28 / 4
x = 7
check:
A = side length * side length
A = (4x + 4) * (4x + 4)
A = (4*7 + 4) * (4*7 + 4)
A = 32 * 32
A = 1024 ok
The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]
Answer:
5/8
Step-by-step explanation:
(10 +/- √100-104)/4
(10 +/- 2i)/4
5/4 +/- 1/2i
5/4 * 1/2 = 5/8
I REALLY NEED HELP ASAP WITH THESE 3 QUESTIONS!!!!!!!!!
A small toy car costs $3. A large toy car costs 5 times as much as the small one. Aaron wants to buy one of each. Which equation can he use to find the cost (a) of the two cars?
Answer: He can use 3 x 5 = 15 and 15 + 3.
Step-by-step explanation:
Since a small car is $3, and the large car is 5x the price of the small car, he can use the equation 3 x 5 = 15, because the small car is $3, and the large car is 5x the price. You can use 15 + 3 = 18, because the small car is $3, so you also have to add that.
Here to help!
The equation is x + 5x = 18 , where x is the cost of small toy car and the total cost of the two cars = $ 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of the two cars be A
Now , the equation will be
Let the cost of the small toy car be = x
The cost of small toy car = $ 3
The cost of the large car = 5 x cost of small toy car
Substituting the values in the equation , we get
The cost of the large car = 5 x 3
The cost of the large car = $ 15
So , the cost of two cars = x + 5x
Substituting the values in the equation , we get
The total cost of the two cars A = 15 + 3
The total cost of the two cars A = $ 18
Therefore , the value of A is $ 18
Hence , the equation is A = x + 5x
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What's the correct answer to this..? Need help
Answer:
A.
Step-by-step explanation:
All of those graphs represent functions. You are able to tell because they all pass the vertical line test. The vertical line test is conducted by drawing a line that goes vertically and intercepts any point of the line in question. If the function crosses the vertical line twice, it is not a function. If it only intercepts once, it is a function. In this case, every graph is a function because they would intercept a vertical line once.
what is the lcm of 7÷25 and 3÷25
Answer:
LCM of 7/25 and 3/25 is 25
Step-by-step explanation:
The full meaning of LCM is Lowest (Least) Common Multiple
Lowest (Least)Common Multiple can be defined as the lowest or least number that is the multiple of two or more number. Note that this least number is not zero
Lowest(Least) common Multiple when applied to fractions is the least number that is the multiple of the denominators of the fraction.
In the above question, we are asked stop find the LCM of 7÷25 and 3÷25
= LCM of 7/25 and 3/25
The two denominators are the same, hence, the LCM is 25.
I need help pls and I will give a 5 star rating and a big thank you comrades.
Answer:
Option (C) : y = 6 / 11
Step-by-step explanation:
To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.
Since, the degrees of the numerator and denominator are the same,
Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator
Therefore,
Horizontal Asymptote = 6 / 11
or what value of g does the function f(g) = g2 + 3g equal 18?
Answer:
The 2 values that makes the function equal to 18 is 3 and -6
Step-by-step explanation:
First you can convert the quadratic equation from standard form to root form
Step 1: Substitute f(g) = 18
Step 2: Move 18 to the other side to create
0 = g² + 3g - 18
Step 3: Now we rearrange equation from standard form into root form
Step 4: Find what adds to 3 and multiples to -18
-3 and 6 adds to 3 and multiples to -18
Step 5: Now we substitute -3 and 6 into the root equation
0 = (g-3)(g+6)
Step 6: Set the brackets to 0 and solve
g - 3 = 0
g = 3
g + 6 = 0
g = -6
Which geometric figure has 120 rotational symmetry?
Answer:
Triangle
Step-by-step explanation:
Has 120° degrees of rotation and measure of the central angle and has 3-fold rotational symmetry
The hotel bill for a number of people for overnight stay is ₹4800. If there were 4 more the bill of each person had to pay would have reduced by ₹200. Find the number of people staying over night
Answer:
8
Step-by-step explanation:
Given hotel bill = ₹4800
Let initially, number of people = [tex]x[/tex]
Initial Bill of each person = Hotel bill divided by number of people = [tex]\frac{4800}{x}[/tex]
4 people are added to the hotel stay.
i.e. new number of people = [tex]x+4[/tex]
New bill becomes ₹200 less for each person.
New bill for each person = [tex]\frac{4800}{x}[/tex] - 200
Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.
[tex]4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible[/tex]
Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.
Answer/Step-by-step explanation:
1. <B is an inscribed angle intercepting arc CA.
Therefore, m<B = ½*128 (inscribed angle theorem)
m<B = 64°
x = 180 - (m<B + m<A) (sum of angles in a triangle)
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. [tex] KH*HI = JH*HG [/tex] (intersecting chords theorem)
[tex] 10*x = 14*5 [/tex]
Solve for x
[tex] 10x = 70 [/tex]
[tex] \frac{10x}{10} = \frac{70}{10} [/tex]
[tex] x = 7 [/tex]
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
11 shots
Step-by-step explanation:
60% of 18 = 10.810.8 rounded = 11Why we did this:
Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.So therefore, Owen made 11 of 18 shots he attempted.
Owen attempted 11 shots during the hockey practice.
Number of shots attempted by Owen = 18
Percentage of shots made = 60%
Then, the number of shots made will be calculated as:
= Percentage of shots made × Number of shots attempted
= 60% × 18
= 60/100 × 18
= 0.6 × 18
= 10.8 shots
= 11 shots approximately
In conclusion, Owen made 11 shots
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