Answer:
5 cheese pizzas and 3 pepperoni pizzas
Step-by-step explanation:
The correct way to solve this is to formulate two related equations since there are two unknowns...the number or pepperoni pizzas and the number of cheese pizzas.
To make is easier to write...we will call pepperoni pizzas p and cheese pizzas c.
we know that the total number of pizzas is 8 so
p + c = 8
Pepperoni (p) pizzas plus Cheese (c) pizzas is 8
We also know that
c = p + 2
Cheese (c) pizzas is equal to Pepperoni (p) pizzas plus 2...there are two more cheese pizzas than pepperoni pizzas.
if we use this second equation to replace for c in the first equation we get
p + (p +2) = 8
c and (p + 2) are the same value so we can use either in place of the other. I am using the parentheses just to group p plus 2 together to hopefully make it clear what I did.
If we now add the two p together we get 2p so the equation is now
2p + 2 = 8
If we now subtract 2 from both sides we maintain the equality because we are making the same change to both sides
2p + 2 - 2 = 8 - 2
2 minus 2 is zero and 8 minus 2 is 6
2p = 6
Now if we divide both sides by 2 we get the following
p = 3
This is because 2p divided by 2 is 1p or just p and 6 divided by 2 is 3.
This tells us that there are 3 pepperoni pizzas as p stands for pepperoni here
Now if we go back to either equation and substitute the value 3 for the variable p we can solve for c or cheese pizzas
c = p + 2 was one equation so
c = 3 + 2
or
c = 5
if we use the other equation, p + c = 8 we get
3 + c = 8
We can subtract 3 from both sides and maintain the equality
3 - 3 + c = 8 - 3
3 minus 3 is zero and 8 minus 3 is 5 so again
c = 5
There are 3 pepperoni pizzas and 5 cheese pizzas
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
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1. Martin can pour a concrete walkway in 6 hours working alone. Victor has
more experience and can pour the same walkway in 4 hours working
alone. How long will it take both people to pour the concrete walkway
working together?
Answer:
2.4 hr. = time working together
Step-by-step explanation:
Let x = time working together
x/6 = work done by Martin
x/4 = work done by Victor
Martin's part + Victor's part = 1 jog done
x/6 + x/4 = 1 Multiply thru by 12
2x + 3x = 12
5x = 12
x = 2.4 hr.
The time taken to pour concrete on the walkway using their combined rate is 2 hours 24 minutes.
To solve :
Time taken by Martin = 6 hours
Time taken by Victor = 4 hours
Recall :
Rate = 1 ÷ time
Hence ;
Martin's work rate = 1/6Victor's work rate = 1/4Working together :
Combined rate = 1/6 + 1/4 = 5/12Therefore, the time taken if they work together will be :
1 ÷ combined rate Time taken = 1 ÷ (5/12) Time taken = (1 × 12/5) = 2.4 hours = 2 hours 24 minutesTherefore, The time taken if they work together will be 2.4 hours.
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Please hurry I need the answer like now, but I am confused. Your supposed to solve for x.
Answer:
0.08
Step-by-step explanation:
Answer:
0.8=x
Step-by-step explanation:
4x+8=7.2+5x
Subtract 4x from both sides of the equation. This eliminates 4x from one side of the equation and leaves the other side with just 1x or x.
8=7.2+xSubtract 7.2 from both sides of the equation to isolate x.
0.8=xSo this concludes that 0.8=x
To check your answer, substitute 0.8 into x.
4(0.8)+8=7.2+5(0.8)3.2+8=7.2+411.2=11.2Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
What is the starting point of the quadratic function defined by y=-2x2-25x+10?
Step-by-step explanation:
y=-2x²-25x+10
=x²+25/2x-5
Someone please help me!
Answer:
middle
Step by step explanation:
they are saying that f(x) = g(x)
so you will make the two functions equal to each other:
-1/2x - 2 = -1
this creates a linear equation , which you can solve to find x:
-1/2x - 2 = -1
-1/2x = -1 + 2
-1/2x = 1
-1x= 1 × 2
-1x = 2
x = -2
Now you know the value of x. the value of the y coordinate is already given: g(x) = -1. Hence, y = -1
because, g(x) = f(x) = y
(-2 , -1)
Look for the line that passes this coordinate; and it is the middle one.
Hope I was able to help. Good luck!
I am unsure on how to solve x
Answer:
180-165= 15
(They tried to throw you off with the second line)
Answer is 15 degrees
Solve for b. 3(b + -2-8=-5 what is the answer?
Equation/Question:
Solve for b. 3(b + -2)-8=-5 what is the answer?
Answer/Steps to answer:
1.Simplify b+-2 to b−2.
3(b−2)−8=−5
2. Add 8 to both sides.
3(b-2)=-5+8
3. Simplify -5+8 to 3.
3(b-2)=3
4. Divide both sides by 3.
b-2=1
5. Add 2 to both sides.
b=1+2
6. Simplify 1+2 to 3.
b=3
Done by NeighborhoodDealer
What is the answer to this?
Answer:
7= -3c - 2
7+2= -3
9= -3c
c=9/-3
c= -3
Use trigonometric identities to simplify each expression.
1/cot^2 (x) - 1/cos^2(x)
Answer:
- 1
Step-by-step explanation:
[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]
[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]
Hope that helps!
By using trigonometric identities, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
What are trigonometric identities?"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."
Given expression
[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
We know the trigonometric identity
[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]
= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]
= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]
We know the trigonometric identity
[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]
= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]
= -1
Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
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A number cube is rolled and a letter is selected from the word PENGUIN.
P(an even number and N)
A. 1/7
B. 2/9
C. 4/15
D. 1/14
The sign of the leading coefficient for the polynomial equation of the graph is . This graph has turning point(s). Possible degrees for this graph include: 4 5 6 7
Answer:
negative
1
4,6
Step-by-step explanation:
Answer:
A&C
Step-by-step explanation:
Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and then returns the marble to the bag. She repeats this process and makes a table with the results.
If there are 500 marbles in the bag, how many of them are most likely green?
Answer:
100000 olacak iyi dersler
The diagram shows a prism.
The cross section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 8 cm, 15 cm and 17 cm.
The length of the prism is 20 cm.
Work out the total surface area of the prism.
Diagram NOT
accurately drawn
8 cm
17 cm
20 cm
15 cm
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
PLZ HELP!!!! I JUST NEED AN ANSWER NOT AN EXPLANATION!!! I WILL GIVE BRAINLIEST TO THE CORRET ANSWER
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation:
What is the median of this data set?
Answer:
The median is 2
Step-by-step explanation:
The middle number of the data set(highlighted dots) is 2.
Hope this helps!
:)
A packet marked at Rupees 1920 is sold for rupees 1840 . what is discount and discount percentage?
Answer:
1920-1840=80
80/1920=0.04166x100
4.16666667%
Step-by-step explanation:
please mARK BRAINLIEST
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
Evaluation the expression
Answer:3b+10
Explanation:Distribution:5(b+2)-2b
5b+10b-2b
Combine like terms:5b+10b-2b
=3b+10
Answer:
3b+10
Step-by-step explanation:
[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]
What do you call the numbers that have fixed value?
Answer:
The numbers which have definite value is known as constant. The numbers which don't have a definite value is known as variables.
A track and field coach wants to increase attendance at an all-star track meet. She will conduct a survey to determine which day most students would attend. Which survey method would best represent the total student body?
Answer:
Survey every student participating in after-school sports.
Step-by-step explanation:
25300 rounded to the nearest 100
Answer:
25,300
Step-by-step explanation:
Its already rounded.
Which does NOT represent the quotient of 17 ÷ 10? A. 1 7/10 B. 1 R7 C. 10/17 D. 1.7
Answer:
The answer is C
Step-by-step explanation:
Answer:
C. 10/17
Step-by-step explanation:
10/17 is less than the correct answer 1.7 so it is C.
Eleman sayısı 2 arttırıldığında alt küme sayısı 24 artan bir kümenin eleman sayısı kaçtır
Answer:
What?
Step-by-step explanation:
Jeremy wants to build a cage for his rabbits. The pet store suggests he build a cage in the shape of a rectangular prism with a floor space of at least 1,080 in.2 and a surface area of no more than 4,272 in.2. Which measurements could Jeremy use for his cage?
Answer:
Step-by-step explanation:
A local council is concerned that there are too many students for staff to look after in schools. There are 18 staff and 225 students in school A. a Write the staff : student ratio in the form 1 : n.
you have to find a number they are both divisible by to get it to simplest form. 18:225.
divide both by 3. 6:75.
you can divide it by 3 again.
answer: 2:25
The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of 1 : n is given as 225 / 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The number of staff in the school = 18
And, the number of students in the school = 225
Since, the ratio of two numbers a and b is given as a : b = a / b.
In the form of 1 : n it can be written as, a : b = 1 / (b / a).
Similarly, the ratio of staff and students n the form of 1 : n can be written as,
Staff : Students = 18 : 225
=> Staff : Students = 1 / (18 / 225)
=> Staff : Students = 225 / 18.
Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.
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Hiiiooo! Can someone please help me if you can’t see the picture I will gladly explain it in the comments!
Answer:
b
Step-by-step explanation: