Given :
Two equations :
-8x + 3y = -17 ....1)
3x - y = 7 ....2)
To Find :
The solution of the system.
Solution :
Multiplying equation 2) by 3 and adding with equation 1), we get :
(-8x + 3y) + 3(3x - y) = -17 + 21
x = 4
Putting above value of x equation 2) we get :
12 - y = 7
y = 5
Therefore, solution of system is ( 4,5 ).
If s(t)=4^3t, what is s(-1)?
Answer:
Step-by-step explanation:
we can write -1 for;
s(-1)= 4^3(-1)
4^-3 = 1/64
A $229 flight is marked up 60%. What is the selling price?
Answer:
366.4
Step-by-step explanation:
229 * 160 / 100 = 229 * 8 / 5 = 229 * 1.6 = 366.4
If helpful pls give 5 star, brainliest, and thanks!
Answer:
366.4
Step-by-step explanation:
229 marked up by 60% is 137.4 plus the origonal price is 366.4 So Thats Your Answer
A bakery has 312 bagels left at the end of the day. The owners would like to divide them evenly to donate to 3 nearby food banks. How many bagels will EACH food bank receive?
Answer:
104 bagels
Step-by-step explanation:
Evaluate the following expression: (3 · 3)2 - 23
A.
10
B.
12
C.
73
D.
75
the function f is defined by f(x)=150/x-z where z is a constant. find z if the value of f at x=1/5 is equal to 250
Answer:
z=500
Step-by-step explanation:
since we know that the whole equation is equal to 250, we can substitute values in.
250=150/1/5 -z
250=750-z
-500=-z
z=500
The value of z for the function f(x)=150/x-z is z=500.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the function f is defined by f(x)=150/x-z where z is a constant. The value of the function at x = 1/5 is 250.
The value of the constant z will be calculated as,
The whole equation is equal to 250, we can substitute values in.
250=150/1/5 -z
Simplify the equation and solve for the value of z,
250=750-z
-500=-z
z=500
Therefore, the value of z for the function f(x)=150/x-z is z=500.
To know more about an expression follow
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I WILL GIVE BRAINLIEST PLEASE!!! A cereal company is having a special promotion. Every 4 out of 65 boxes contains a coupon for half off your next box of cereal. Suppose 455 boxes of the cereal are delivered to a grocery store. How many of them can be expected to contain one of the coupons? Set up and solve a proportion to solve the problem. Show your work. (Please help me.)
Answer:
28
Step-by-step explanation:
4/65 then ?/455
divide 455 by 65 to get 7
4/65=4x7/65x7(455)
4/65=28/455
therefore there are 28 boxes with the coupon out 455
Evaluate the expression: 25
A.
2·5
B.
2·2·2·2·2
C.
2·2·2·2
D.
2+2+2+2+2
Answer:
B.
Step-by-step explanation:
I think you mean 2^5
which = 2.2.2.2.2
There are 16 apples in a basket. 7 of these apples are green. The rest of them are red.
(a) What is the ratio of all apples in the basket to red apples?
(b) What is the ratio of green apples to red apples?
Answer:
(a) 16:9 (b) 7:9
Step-by-step explanation:
(a) 16 - 7 = 9 red apples
The ratio of all apples in the basket to red apples is 16:9
(b) The ratio of green apples to red apples is 7:9
Please mark me Brainliest :)
Taliyah has 174 coins in her collection of dimes and nickels. The total value of the collection is $15.20. How many dimes does she have in her collection?
Answer:
130 dimes
Step-by-step explanation:
A nickel is worth 5 cents = 0.05n
A dime is worth 10 cents = 0.10d
Taliyah has 174 coins in her collection of dimes and nickels.
n + d = 174
n = 174 - d
The total value of the collection is $15.20.
0.05n + 0.10d = $15.20
We substitute 174 - d for n
Hence:
0.05(174 - d) + 0.10d = 15.20
8.7 - 0.05d + 0.10d = 15.20
- 0.05d + 0.10d = 15.20 - 8.7
0.05d = 6.5
d = 65/0.05
d = 130 dimes
The number of dimes she has in her collection is 130 dimes
In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank. How many fish are in the Deep Blue tank?
PLZ HELP
Answer:
125 fish
Step-by-step explanation:
The Tide Pool has 10 crustaceans and 25 fish. So, simplified, for every 2 crustaceans there are 5 fish. That also means, the amount of crustaceans is 2/5 of the amount of fish.
Deep Blue has 50 crustaceans. That is 2/5 of how many fish are in the tank. Multiply 50 by 5/2 to get the amount of fish.
(50 * 5)/2
250/2
There are 125 fish in the Deep Blue tank.
Answer:125
Step-by-step explanation:
Gwen's blog post about camping has 70 comments. 30% of the comments were questions for Gwen about camping gear. How many of the comments were questions about camping gear? Pick the model that represents the problem.
To figure out how many of the 70 comments were those about questions for Gwen about camping gear, you need to first find the decimal of 30%, which is 0.3. Then the equation should be:
70 x 0.3
Answer: 21
Answer:21 comments about camping gear
Step-by-step explanation: Because percentages are just fractions out of 100, we know that 30% is 30/100. If you multiply 30/100 by 70, you get 21.
48 as a fraction hhhhheeeellllllllloooo
b) The distance between two places is 18 km. If the map scale is 1:400000, find the
distance between the places in centimetres drawn in the map.
Answer:
Map scale is 1:400000 => 1 cm on the map represents 400000 cm (4 km) on the ground.
So, 18 km on the ground is represented by 18/4 cm or 4.5 cm on the map.
Answer: 4.5 cm
Step-by-step explanation:
The clear and easiest way to deal with this problem is to convert all measurements to centimeters because that is the stated unit to be used. In SI, the metric prefixes can be written as exponents. The prefix kilo corresponds to 10^3 while the prefix centi corresponds to 10^-2 so 18 km = 18 x 10^3 m = 18 x 10^3 x 10^2 cm= 18 x 10^5 cm.
The number 18 x 10^5 cm is to be reduced to 400,000 times in the map and it means a process of division is to be performed. Dividing 18 x 10^5 cm by 400,000 gives a quotient of 4.5 cm.
This means that an actual distance of 18 km, on the map it just corresponds to 4.5 cm distance if the scale used is 1:400,000.
HELP ME!!!! giving 40 points and brainliest!!!!
Answer:
Step-by-step explanation:
17.7+8.3+13.0+2090=24.805g
Q1:A circle has an area of 64π square inches. Which best represents the circumference of the circle?
Q2:The circumference of a circle is 20π units. What is the area of the circle in terms ofπ ?
Kayla is baking cupcakes. She needs 2 3 4cups of white sugar and 1 5 6 cups of brown sugar. How much sugar is in Kayla's cupcakes?
Complete Question
Kayla is baking cupcakes. She needs 2 3/4cups of white sugar and 1 5/6 cups of brown sugar. How much sugar is in Kayla's cupcakes?
Answer:
4 5/12 Cups of sugar
Step-by-step explanation:
She needs 2 3/4cups of white sugar and 1 5/6 cups of brown sugar.
The amount of sugar is in Kayla's cupcakes is calculated as:
White sugar + Brown Sugar
= 2 3/4 cups + 1 5/6 cups
2+ 1 + [ 3/4 + 5/6]
Lowes Common Denominator = 12
3 + [9 +10/12]
3 + 19/12
3 + 1 5/12
= 4 5/12 Cups of sugar
Therefore, 4 5/12 Cups of sugar is in Kayla's cupcakes.
A projectile fired at 5 m/s from a gun. If the horizontal component of the initial velocity is equal to 4 m/s. What is the value of the vertical component?
Answer:
[tex]the \: value \: of \: the \: vertical \: component \to : \\ (v_v) = 3m {s}^{ - 1} \\ [/tex]
Step-by-step explanation:
[tex]let \: the \: velocity \: be \to \: v \\let \: the \: horizontal \: component \: be \to \: v_h \\ let \: the \: vertical \: component \: be \to \: v_v \\ applying \: the \: pythagorean \: rule \: of \: vectors \to : \\ {v}^{2} = {v_v}^{2} + {v_h}^{2} \\ {v_v}^{2} = {v}^{2} - {v_h}^{2} \\ {v_v}^{2} = {5}^{2} - {4}^{2} \\ v_v = \sqrt{(25 - 16)} \\ v_v = \sqrt{9} \\ \boxed{ v_v = 3 {ms}^{ - 1} }[/tex]
For each situation, determine the slope and y-intercept of the graph of the equation that describes the situation.
John gets a new job and receives a $500 signing bonus. After that, he makes $200 a day.
Answer:
slope=200
y-intercept=500
Step-by-step explanation:
Equation of straight line in slope intercept form is given as
[tex]y=mx+b[/tex]
here
slope=m=200/day
y-intercept=b=500
[tex]y=200x+500[/tex]
Dominic makes some pizzas before opening his pizzeria each day. For every 3 cheese pizzas he makes, he makes 2 specialty pizzas. How many specialty pizzas will Dominic make if he makes 12 cheese pizzas?
Answer:
8 specialty pizzas
Step-by-step explanation:
the ratio is 3 cheese pizzas for every 2 specialty pizzas 3/2 so you multiply 2 times 12 (2 × 12= 24) and then divide the 24 by 3 (24 ÷ 3= 8)
My friends and I are sharing a candy bar. I got 1/4 of the candy bar, and my friend Abby got 1/4 of it. How much is left?
Answer: [tex]\dfrac12[/tex] of candy is left.
Step-by-step explanation:
Given: Fraction of candy bar I got = [tex]\dfrac14[/tex]
Fraction of candy bar friend got = [tex]\dfrac14[/tex]
Considering whole candy as 1.
Then, fraction of candy left = [tex]1-\dfrac14-\dfrac14[/tex]
[tex]=1-\dfrac24\\\\=1-\dfrac12\\\\=\dfrac12[/tex]
Hence, [tex]\dfrac12[/tex] of candy is left.
Answer:
Step-by-step explanation:
m
what is 1080 divided by 45
Answer:
24
Step-by-step explanation:
thats the answer
32 + 24 = 55 ( + ) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.
The right presentation of the question is:
(a) Write 32 + 24 as a product of the two factors using the GCF and the distributive property.
(b) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.
Answer:
[tex](a)\ 32 + 24 = 8*7[/tex]
[tex](b)\ 32 + 23 = 5*11[/tex]
Step-by-step explanation:
Solving (a):
First, we take the GCF of 32 and 24
[tex]32 = 2 * 2 * 2 * 2 * 2[/tex]
[tex]24 = 2 * 2 * 2 * 3[/tex]
Take common factors:
[tex]GCF = 2 * 2 * 2[/tex]
[tex]GCF = 8[/tex]
So, we factorize 32 and 24 using 8.
The expression becomes:
[tex]32 + 24 = 8(4 + 3)[/tex]
Simplify the expression in bracket
[tex]32 + 24 = 8(7)[/tex]
Remove bracket
[tex]32 + 24 = 8*7[/tex]
--------------------------------------------------------------------------------------------------
Solving (b):
[tex]32 + 23 =[/tex]
32 and 23 do not have a common factor, so we have to start by writing 32 as 30 + 2
[tex]32 + 23 = 30 + 2 + 23[/tex]
Add 2 to 23
[tex]32 + 23 = 30 + 25[/tex]
Take the GCF of 30 and 25
[tex]30 = 2 * 3 * 5[/tex]
[tex]25 = 5 * 5[/tex]
Take common factors:
[tex]GCF = 5[/tex]
So, we factorize 30 and 25 using 5.
[tex]32 + 23 = 5(6 + 5)[/tex]
Simplify the expression in bracket
[tex]32 + 23 = 5(11)[/tex]
Remove bracket
[tex]32 + 23 = 5*11[/tex]
-2y + 6 = -12 lol how do i solve that again??
Answer:
y=9
Step-by-step explanation:
-2y + 6 = -12
-2y - 6 = -6
-2y = -18
-2/y= -18/-2
y= 9
You need to subtract six one both sides first, that will cancel out the positive six, and that will also give you this:
-2y = -18
Now, divide negative two on both sides, that will cancel out both the negative signs, and it will also cancel out the two and it will give you your final answer:
y = 9
William got scores of
Answer: where is the rest of the question?
Step-by-step explanation:
Greg made $253 for 11 hours of work. At the same rate, how much would he make for 18 hours of work?
Answer:
$414
Step-by-step explanation:
Let's start by figuring out how much he earns per hour.
253/11=23
Greg earns $23 per hour. So if he worked for 18 hours, he would make $414.
Answer:
$414
Step-by-step explanation:
First, we have to find the unit rate, so our first equation is:
253 ÷ 11 = 23
So Greg gets $23 an hour
So for 18 hours our equation is:
23 x 18 = 414
So Greg would make $414 if he worked for 18 hours
6 less than the product of 3 and a number
Answer:
(3n)- 6 or the other way around 6-(3n)
Step-by-step explanation:
(2x2 + x + 3) + (3x2 + 2x + 1)
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
2x² + x + 3 + 3x² + 2x + 1 = 2x² + 3x² + x + 2x + 3 + 1
= 5x² + 3x + 4
The perimeter of a rectangular lawn is 80m. If the length had been 2m less and breadth
2m more, the lawn would have been a square. Find the dimensions of the lawn.
?
Answer:
The dimensions of the lawn are 22 m and 18 m
Step-by-step explanation:
Let us solve the question
Let the length of the rectangular lawn is x m and its breadth is y m
∵ The length of the lawn = x meters
∵ The breadth of the lawn = y meters
∵ Its perimeter = 80 meters
→ The formula of the perimeter is P = 2(length + breadth)
∴ 2(Length + breadth) = 80
→ Substitute the length by x and the breadth by y
∴ 2(x + y) = 80
→ Divide both sides by 2
∵ (x + y) = 40
∴ x + y = 40 ⇒ (1)
∵ The length had been 2 m less
∴ The new length = x - 2 meters
∵ breadth had been 2 m more
∴ The new breadth = y + 2 meters
∵ The lawn would have been a square
→ The square has equal sides, then equate the new length and breadth
∴ x - 2 = y + 2
→ Add 2 to both sides
∵ x - 2 + 2 = y + 2 + 2
∴ x = y + 4 ⇒ (2)
→ Substitute x in equation (1) by equation (2)
∵ y + 4 + y = 40
→ Add the like terms
∴ 2y + 4 = 40
→ Subtract 4 from both sides
∵ 2y + 4 - 4 = 40 - 4
∴ 2y = 36
→ Divide both sides by 2
∴ y = 18
→ Substitute y by 18 in equation (2) to find x
∵ x = 18 + 4
∴ x = 22
∴ The dimensions of the lawn are 22 m and 18 m
Hom0zygous means that the....
A. Hom0logous pairs are not the same on each chromosome
B. Alleles are different for that characteristic
C. Hom0logous pair has the same gene in each chromosome
D. None of these
Answer:
this right answer for this would be D
Answer:
D brainly won't let me explain..
Lamont Gatling purchased a phone answering system for his home office. The list price was $99.86. He also purchased a 12-foot handset cord for $8.95 and 50 feet telephone wire for 45¢ per foot. He received a $5.00 rebate on the phone system and had a store coupon for $1.00 off each accessory. If he paid a 6 percent sales tax on the final price, how much did he pay?
Answer:
$130.7086
Step-by-step explanation:
List price of phone answering system = $99.86
Handset cord = $8.95
Telephone wire = 45 cent/foot ; length = 50 feet
Rebate on phone system = $5
Store coupon =$1 of each accessory
Sales tax = 6% on final price
Price before coupon = (99.86 + 8.95 + (50*0.45)) =$131. 31
Number of accessories = 3
Total coupon = $5 + ($1 * 3) = $8
Price after coupon = final price : $131.31 - $8 = $123.31
Sales tax = 0.06 * $123.31 = $7.3986
Amount paid = $123.31 + $7.3986 = $130.7086
