18) Mr. Smith travels 280 miles in 4 hours.
How far can he go in 6.5 hours?
Answer:
here's your answer hope it helps you
Step-by-step explanation:
distance= speed*time
speed=70 miles per hour(280 in 4 hrs so divide)
time= 6.5 hour
distance=70×6.5 miles
distance=455.0 miles
How to solve:
3*9^(2n) = (3^(n +1))^3
Answer:
3
Step-by-step explanation:
3*9^(2n) = (3^(n +1))^3
= 3×9^0^3
= 3×9^0
= 3×1
= 3
Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9. 50. The tax was 6. 2%. What was the total amount Sandra paid for her meal? Enter your answer in the box.
Percentage represents a part of a whole. The total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.
What is the percentage?The percentage is a way to represent a part of a whole. for example, one-fourth of an area A can be written like 25% of A(0.25 A).
Give to us
Sandra ordered a slice of pizza with a side salad for $9.50.
The tax was 6. 2%.
The amount of tax that Sandra needs to pay,
[tex]6.2\%\ of\ \$9.50\\\\=0.062 \times 9.50\\\\= \$0.589[/tex]
As we know that tax is the extra cost that we need to pay, therefore, the total amount Sandra needs to pay,
Total Amount = Cost + tax
= $9.50 + $0.589
= $10.089 ≈ $10.09
Hence, the total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.
Learn more about Percentage:
https://brainly.com/question/6972121
An isosceles triangle has side lengths of 16, an altitude of x, and a base of 2x. Find the length of the base.
Answer:
Step-by-step explanation:
Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:
16^2 = x^2 + x^2
256 = 2x^2
128=x^2
x = 8sqrt2.
so the base has a length of 16sqrt2.
can someone please help me?
Answer:
2. x = 3
3. x = 10 and y =2
Step-by-step explanation:
2.
From inspection, we can see that EF = 10 and KL = 5
Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2
This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF
Therefore, if GF = 22, then JL = 22 ÷ 2 = 11
So: 2x + 5 = 11
⇒ 2x = 11 - 5 = 6
⇒ x = 6 ÷ 2 = 3
x = 3
3.
From inspection, we can see that DF = 12 and HJ = 9
Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3
This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ
Therefore, if HG = 6, then DE = 6 x 4/3 = 8
So: 2y + 4 = 8
⇒ 2y = 8 - 4 = 4
⇒ y = 4 ÷ 2 = 2
y = 2
Similarly, if GJ = 24, then EF = 24 x 4/3 = 32
So: 4x - 8 = 32
⇒ 4x = 32 + 8 = 40
⇒ x = 40 ÷ 4 = 10
x = 10
how do you convert 1.5cm2 into mm2
Answer: 150mm squared
Step-by-step explanation:
Multiply by 100
Answer:
150mm²
Step-by-step explanation:
[tex]here,\\ (1.5*100)mm^{2} =150mm^{2}[/tex]
There are 150 adults and 225 children at a zoo. If the zoo makes a total of $5100 from the
entrance fees, and the cost of an adult and a child to attend is $31 dollars, how much does it cost each
for a parent and a child?
Answer:
It costs $25 for a parent and $6 for a child
Step-by-step explanation:
Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...
x+y=31
150x+225y=5100
We can write the first equation in terms of x by subtracting y from both sides...
x=31-y
Now, we can solve the system of equations by substitution (substitute 31-y for x)...
150(31-y)+225y=5100
Distribute the 150 to the terms inside of the parentheses
150(31)-150(y)+225y=5100
4650-150y+225y=5100
Combine like terms
4650+75y=5100
Subtract 4650 from both sides
75y=450
Divide both sides by 75
y=6
Plug 6 back in for y to solve for x:
x=31-y=31-6=25
It costs $25 for a parent and $6 for a child
1 - 2 + 5 - 2 + 5 x 2
Answer: 12
Step-by-step explanation:
Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.
1-2+5-2+5x2
1-2+5-2+10
-1+5-2+10
4-2+10
2+10
12
Answer:
12
Step-by-step explanation:
You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
First, multiplication on 5x2 so now it is 1-2+5-2+10.
Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.
Hope you get an A! <3
Twice a day Cameron's cat eats 4 ounces of dry cat food and 2 ounces of wet cat food dry food comes in 5 pound bags and wet food comes in 6 ounce cans
A how many cans of wet food should he buy to feed his cat for a week?
B How many ounces of wet cat food will be left over at the end of the week
C How many days can he feed his cat from a 5 pound bag of dry food
I will mark brainliest!!!! help me please
Answer:
4n√(3n) +3√n -√(3n)
Step-by-step explanation:
The expression can be simplified, but terms cannot be combined.
[tex]\sqrt{48n^3}+\sqrt{9n}-\sqrt{3n}=\sqrt{(4n)^2(3n)}+\sqrt{3^2n}-\sqrt{3n}\\\\=\boxed{4n\sqrt{3n}+3\sqrt{n}-\sqrt{3n}}[/tex]
Jack went to a local restaurant and ordered the following:
Soda - $2.75
Hamburger - $5.75
French Fries - $2.00
Chocolate Chip Cookie - $0.75
a) What was his subtotal?
Answer: I think it is 8.55
Step-by-step explanation:
have a nice day♥️
I reallyyyy need help on this!!!! Can someone Help out??
Answer:
(4,5)
Step-by-step explanation:
To begin, we'll solve for y in the first equation.
-y = 3 - 2x
y = 2x - 3
Then, plug this in for y in the second equation.
9x - 6(2x-3) = 6
9x - 12x + 18 = 6
-3x = -12
x = -12/-3
x = 4
Then, you just plug your x value into one of the equations and solve for y. Personally, I think it's easiest to plug it into y = 2x - 3
y = 2(4) - 3
y = 8 - 3
y = 5
[tex]\bold{\huge{\purple{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given:-}}[/tex]
We have given two equations that is 2x - y = 3 and 9x - 6y = 6[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]
[tex]\sf{ 2x - y = 3 ...eq( 1 )}[/tex]
[tex]\sf{ 9x - 6y = 6 ...eq( 2 )}[/tex]
Solving eq( 1 ) :-
[tex]\sf{ 2x - y = 3 }[/tex]
[tex]\sf{ x = 3 + y/2 ...eq(3 )}[/tex]
Subsitute eq( 3 ) in eq( 2) :-
[tex]\sf{ 9(3 + y/2) - 6y = 6}[/tex]
[tex]\sf{ 27 + 9y/2 - 6y = 6}[/tex]
[tex]\sf{ 27 + 9y - 12y/2= 6}[/tex]
[tex]\sf{ 27 + - 3y = 6 × 2 }[/tex]
[tex]\sf{ - 3y = 12 - 27 }[/tex]
[tex]\sf{ - 3y = - 15 }[/tex]
[tex]\sf{ y = -15/-3}[/tex]
[tex]\sf{ y = 5 }[/tex]
[tex]\sf{\red {Thus, \: the\: value\: of \:y \: is\: 5 }}[/tex]
Now, Subsitute value of x in eq( 3) :-
[tex]\sf{ x = 3 + 5/2 }[/tex]
[tex]\sf{ x = 8/2 }[/tex]
[tex]\sf{ x = 4}[/tex]
[tex]\sf{\pink{Hence , \: the\: value\: of\:x\:and \:y \: is\: 4 \: and \: 5 .}}[/tex]
4/7 and 3/10 with same denomiator
Answer:
4/7 = 40/70
3/10 = 21/70
Step-by-step explanation:
help pls i beg you
with steps
Answer:
b) 1990659
Step-by-step explanation:
b) 9*9*9*9=6561, 12*12*12=1728, 8*8*8*8=4096 / 12*12=729, 2*2*2*2*2=32. 6561*1728*4096/729*32=1990656
what is 30 + 12 = e - 42
Answer:
e = 84
Step-by-step explanation:
30 + 12 = e - 42
e = 42 +42
e = 84
Help me awnser these questions please
Answer: y=x-1
General equation of linear function: [tex]y=mx+b[/tex]
A(-1;0); x=-1, y=0
B(0;-1); x=0, y=-1
Let's solve the system of equations
[tex]\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1[/tex]
ginger still has 40% of her book to read. if she has read 180 pages, how many pages does she still have to read?
Answer:
Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:
N = 180 x (100 - 40)/40 = 270 pages
60%
Step-by-step explanation:
The base and height of a triangle are in the ratio 4: 5. If the area is 640 sq. cm, find the base and height.
Answer:
base = 32 cm , height = 40 cm
Step-by-step explanation:
ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then
A = [tex]\frac{1}{2}[/tex] × 4x × 5x = 2x × 5x = 10x²
given A = 640 , then
10x² = 640 ( divide both sides by 10 )
x² = 64 ( take square root of both sides )
x = [tex]\sqrt{64}[/tex] = 8
Then
base = 4x = 4 × 8 = 32 cm
height = 5x = 5 × 8 = 40 cm
Multiply & simplify: (3x - 2)^2
Mungkin Gini Kali Ya Kak
(3) × 2(2)
Answer:
9x² - 12x + 4
Step-by-step explanation:
(3x - 2)²
= (3x - 2)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor , that is
3x(3x - 2) - 2(3x - 2) ← distribute parenthesis
= 9x² - 6x - 6x + 4 ← collect like terms
= 9x² - 12x + 4
Mario delivered 95 newspapers in 2 hours. If that rate continued, how many newspapers could we expect him to deliver in 5 hours?
Answer:
if he delivers 95 newspapers in 2 hours it means that he can deliver 190 in 4 hours, sadly if we were to find out how much he can do per hour he would do 47.5 so this would mean that he would do 237.5 we can round this up to 238, we could expect him to deliver 238 newspapers
What is the volume in cubic cm of this cone????
Answer:
113.04 cm³
Step-by-step explanation:
Volume = [tex]\frac{\pi r^2h}{3}[/tex]
Solve:
[tex]\frac{\pi3^2(12)}{3}[/tex][tex]\frac{\pi(9)(12)}{3}[/tex][tex]\frac{108\pi}{3}[/tex][tex]36\pi\\[/tex][tex]36(3.14)[/tex][tex]113.04[/tex]-Chetan K
Please help me with this
Answer:
42.9
Step-by-step explanation:
Something tells me that you want it as fast as possible, but if you need an explanation just ask!
Good luck!
[:
Answer:
58.57 approximately 58.6
Step-by-step explanation:
we've been given the value for line MN as 67.2m and also line AN as 32m so we look for line MA by saying 67.2 minus 32m to give 35.2m
considering the big triangle we have line MN and we have line MP but we don't have line NP to get line NP we use pythagoras theorem
hypotenuse Square = opposite Square + adjacent Square
81.9*2= 67.2*2 + x*2
therefore x is 46.8m
note that line NP is equal to line AB therefore line AB is also 46.8m
so we now look at the smaller triangle to find x
that's also pythagoras theorem
hypotenuse Square = opposite Square + adjacent Square
x^2 = 38.5^2 + 46.8^2
therefore our value for x is 58.6
4(3y-9) can be written as ?
Hey there!
4(3y - 9)
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(3y) + 4(-9)
= 12y - 36
Therefore, your answer is: 12y - 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]4(3y - 9) = (4 \times 3y) - (4 \times 9) [/tex]
[tex]= 12y - 36[/tex]
complete the table of values when x+2y equals 7
Answer:
x=7-2y
Step-by-step explanation:
18
N
h
30°
450
W
y
27
972
93
18
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
Help!!! ASAP!!!!
Please help me!!!
No wrong answers!!!
Answer:
*
Step-by-step explanation:
Pattern A: is adding 2 dots each time
Pattern B: is going up 1,2,3,4 (adding that amount each time)
Pattern C: Times by 3 each time
I need help, please pick the answers many that there the equivalent of 4(x + 1) + 7(x + 3)?
Answer:
B and C
Step-by-step explanation:
4(x+1) + 7(x+3)
4x + 4 + 7x + 21 <-- Choice B
11x + 25 <-- Choice C
pls help-
5(u+1)-u=3(u-1)+7
No solution?
[tex]5(u + 1) - u = 3(u - 1) + 7 \\ 5u + 5 - u = 3u - 3 + 7 \\ 5u - u + 5 = 3u - 4 \\ 4u + 5 = 3u - 4 \\ 4u - 3u = - 4 - 5 \\ u = - 9[/tex]
sorry if this is not correct
Suppose a charity received a donation of $24.6 million. If this represents 49% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
73.6
Step-by-step explanation:
this is an addition question so we're going to answer it with an equation let's put 24.6 + 49 =73.6
What are the steps to (5xy^3)^2(xy)^4?
Answer:
25x^6 y^10
Step-by-step explanation:
Simply: (5xy^3)^2: 25x^2 y^6
25x^2 y^6 (xy)^4
Apply exponent rule: (a * b)^n = a^n b^n
(xy)^4 = x^4 y^4
25x^2 y^6 x^4 y^4
Simply: x^2 x^4: y^10
25x^6 y^6 y^4
Simply: y^6 y^4: y^10
25x^6 y^10