The pizza originally have 30 slices.
What is linear equation?
An equation in which the highest power of the variable is one is known as linear equation.
We will find number of pizza slices as shown below:
Let pizza originally have x slices.
Adam eats 20% of a pizza
= 0.2x
Bethany eats 1/3 of pizza
=1/3(x)
Charlie eats the remaining 14 slices
0.2x+1/3(x)+14=x
14 = x - 0.2x - 1/3(x)
14 = x - x/5 - x/3
14 = (15x - 3x - 5x)/15
14*15 = 7x
By dividing both sides by 7, we get
30 = x
x = 30
Hence, the pizza originally have 30 slices.
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the length of the rectangle is x+2x-3 and the with is 5x+4. what is the perimeter of the rectangle
Answer:
[tex]2(8x - 7)[/tex]
Step-by-step explanation:
( x + 2x - 3)(2) + (5x + 4)(2) = 2x+4x-6+10x-8
= 16x - 14
= 2(8x-7) (when factorised/simplified)
4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.
Answer:
★ Given :
Area of triangle = x² + 8x + 12 cm²
length = (x+6)cm
★ To show :
breadth = (x+2) cm
★ Solution :
We know that,
Area of a rectangle = length × breadth
by putting values
(x² + 8x + 12) = (x+6) × breadth
by diving (x² + 8x + 12) into factors
using middle term splitting
x² + 6x + 2x + 12
x(x+6) + 2(x+6)
= (x+2)(x+6)
(x+2)(x+6) = (x+6) × breadth
Hence, verified..
Answer:
hope it helped have a good day mate
help quick
142 is what percent of 596?
(Write your answer as a percent rounded to the nearest tenth of a percent. Include the % on your answer.)
Answer:
23.8%
Step-by-step explanation:
Step 1: Divide 142 by 596;
The first step is to divide the numerator of this problem by the denominator. The numerator, in this case, is 142 and the denominator is 596. Here is the equation for this operation:
142/596 = 142 ÷ 596 = 0.23825503355705
Step 2: Multiply 0.23825503355705 by 100
The second step is to multiply the result of step 1 by 100. This will turn our original answer into a percentage. This is the final answer to the problem. Here is the equation for:
0.23825503355705 × 100 = 23.83
Step 3: Round 23.83 to the nearest tenth
To round 23.83 to the nearest tenth consider the hundredths’ value of 23.83, which is 3 and less than 5. Therefore, the tenths value of 23.83 remains 8.
23.83 rounded to the nearest tenth = 23.8%
Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18
Answer:
D
Step-by-step explanation:
We want to find:
[tex](x^2+2x-3)(4x^2-5x+6)[/tex]
Distribute:
[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]
Distribute:
[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]
Rearrange:
[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]
Combine like terms:
[tex]=4x^4+3x^3-16x^2+27x-18[/tex]
The answer is D.
A) Find the area of the shaded region
ill give you brainliest
Answer:
2.0
Step-by-step explanation:
Area of Shaded Region = Area of square – Area of circle
Area of square = 3×3 = 9
Area of circle = π×r² = π×1.5² ≈ 7.068
(radius of circle is half of the side length)
9–7.068≈2.0
Find the indicated measurement
Answer:
11.2
Step-by-step explanation:
Given that the two triangles share an angle (bottom left), and since the sides opposite this angle are parallel, we can conclude that the triangles are similar.
Put one side length over another and equak to the corresponding side lengths of the other triangle:
28/15=?/6
?=6(28/15)=11.2
I really don’t get it!!
Answer:
The answer is b.
Step-by-step explanation:
Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.
Answer:
x = 11,
m∡LMN = 124°
Step-by-step explanation:
since NO bisects ∡LMN, then ∡LMO = ∡NMO
so we can do the following to solve for 'x':
8x - 26 = 2x + 40
6x = 66
x = 11
now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles
8(11) - 26 = 88 - 26 = 62
62 x 2 = 124
The radius of a cylindrical water tank is 4.5ft, and its height is 11ft. What is the volume of the tank?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
494.8
Step-by-step explanation:
Volume of cylinder = 2pierh + 2pier^2
= 2*3.14*4.5*13 + 2*3.24*4.5^2
= 494.8
How do I find the measure of each marked angle question 14
Answer:
x=38
Step-by-step explanation:
hope this helps!
if angles are on a line like that, both equations added up together will always be equal to 180.
like this:
2x-10+3x = 180
5x-10=180 (combine)
5x=190 (subtract 10 on both sides)
x=38 (divide both sides by 5)
A universitys freshman class has 8900 students. 3471 of those students are majoring in Engineering. What percentage of the frehman class are Engineering majors?
Answer:
39%
Step-by-step explanation:
solve for each quotient 2 1/2+7 1/3
The quotient of the given fractions is 9/44.
Given that, [tex]1\frac{1}{2}\div 7\frac{1}{3}[/tex].
How to divide the fractions?The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
The given mixed fractions can be written as, [tex]1\frac{1}{2}=\frac{3}{2}[/tex] and [tex]7\frac{1}{3}=\frac{22}{3}[/tex]
Now, 3/2 ÷ 22/3
=3/2 × 3/22
=9/44
Therefore, the quotient of the given fractions is 9/44.
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(b) 33 is 75% of what number?
(x-4)^2=25 by taking the square root
Answer:
x = -1, 9
Step-by-step explanation:
[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]
x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)
x - 4 = 5
x = 9
or
x - 4 = -5
x = -1
x = -1, 9
The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=
HOLA! HEY!! Can some one please help me with this quiz? I will give you brainlest.
A rectangle with an area of 8 ft² is dilated by a factor of 4.
What is the area of the dilated rectangle?
12 ft²
32 ft²
64 ft²
128 ft²
Answer:
I think the answer it is D
increase 2 hour 30 minute by the ratio of 6:5
Answer:
we get 180 minutes; this is equivalent to 3 hours
Step-by-step explanation:
Solving this problem is easier if we convert 2 hr 30 min to min: 150 min.
In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.
We write and solve an equation of ratios:
6 x
--- = ------ This becomes 5x = 900 through cross multiplication.
5 150
solving this for x, we get 180 minutes; this is equivalent to 3 hours.
The time taken should be 180 minutes or 3 hours.
Calculation of the time taken:
Since there is an increase of 2 hours 30 minutes by the ratio of 6:5
So here we convert 2 hr 30 min so it comes 150 min.
Now the time taken should be
5x = 900
x = 150 minutes
hence, The time taken should be 180 minutes or 3 hours.
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Find the area of the figure.
(Simplify Your Answer)
Answer:
7550 meter square
area of rectangle = Length x breadth= 130 x 20
= 2600 meter square
area of triangle = 1/2 x base x height
1/2 x (130-20)m x (130-40)m
1/2 x 110m x 90m
55 x 90
4950 metre square
area of rectangle + area of triangle
4950 + 2600
7550 meter square
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST
Answer:
They are 20 km away from each other,
Step-by-step explanation:
1cm=5km so 4cm=20km
Answer:
20km
Step-by-step explanation:
its like 1st grade math?
also im posting so you can give the other dude brainliest
What is the solution to 3x - y = 13 and 2x + 5y = 20
Answer:
Step-by-step explanation:
x = 10 - 5/2y
Pls help I’ll brainlest ASAP
Answer:
$180
Step-by-step explanation:
$180
Use elimination to solve the system of equations.
x – y = 5
x + y = 3
a
(–4, –1)
b
(4, 1)
c
(–4, 1)
d
(4, –1)
Answer:what
Step-by-step explanation:
what
Five students in the chess club went to the state tournament. If 20% of the chess club went to the tournament, how many students are in the chess club?
Answer:
25 students are in the chess club
Step-by-step explanation:
100×5=500
500÷20=25
I hope it's correct:)
Answer:
25 students
and how?
its 2 5 S T U D E N T S
Helpppp!!!!!! After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answer:
3 scoops for $3.69 is better deal.
Step-by-step explanation:
Given that,
There are 3 deals to buy icecram.
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
We can find the cost of 1 scoop for each deal. So,
First deal,
1 scoop = 3.69/3 = $1.23
Second deal,
1 scoop = 2.69/2 = 1.345
We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.
pls answer fast. will give brainliest (v2)
Answer:
Account B principle for B=400, principle for A=200
Step-by-step explanation:
A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path? A. 10 yd. B. 250 C. 50 yd. D. 5000
Answer:
B) 250Step-by-step explanation:
Hope this helps!!
Answer: its 5000 i got it right
Step-by-step explanation:
Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth
Find the whole. 215% of what number is 172
Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions
will maximize the area of the paddleball court?
Length
Width
L
а length - 20 m, width - 20 m
b. length - 13.33 m, width = 1334 m
C length - 10 m, width - 10 m
d. length - 10 m, width 20 m
Answer:
ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh
Answer:
lnfadvogbfvuvgayuvgalof
Step-by-step explanation:
asdbujvygadsoufyudgasoufgaedoyIf cos x= sin(20 + x)° and 0° < x < 90°, the value of xis
Answer:
draw a right angle triangle
Step-by-step explanation:
Let one of the angles be A
cos A = sin (90-A)
90 - x - 20 = x
2x = 70
x = 35 degrees
Estimate the average rate of change from x=2 to x=5
Answer:
5x3x2y
Step-by-step explanation:
The average rate of change for the graph is 4/3 from x = 2 to x = 5.
What is Lagrange mean value theorem?Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)
According to the given graph,
At point x = 2,
F(2) = 3
At point x = 5,
F(5) = 7
Since the formula for the average rate of change of the function between x = a and x = b is,
The average rate of change = {F(b) -F(a)}/(b-a)
Here a = 2, b = 5 and F(2) = 3, F(5) = 7
Substitute the values in the formula,
So the average rate of change = (7 - 3)/(5 - 2) = 4/3.
Hence, the average rate of change of the function is 4/3.
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