Answer:
Apples $0.90 / Bananas $1.50
Step-by-step explanation:
So The equations would look like this
5x + 4y = 10.5
10x + 5y = 16.5
Solving for x, we get 2.1 - 4/5y
Substitute x
10(2.1 -4/5y) +5y = 16.5
Solving for y, we get 3/2 or 1.5
Substitute y
x = 2.1 -4/5(3/2)
x = 9/10
Now check the equations with the answers
5(9/10) + 4(3/2) = 10.5 -> 21/2 = 21/2
10(9/10) + 5(3/2) = 16.5 -> 33/2 = 33/2
Which means apples cost $0.90 and bananas cost $1.50
Select all the pairs of points so that the line between those points has slope 2/3.
B, (0,0)(3,2)
C, (1,5)(4,7)
D, (-2,-2)(4,2)
All of these ordered pairs have a slope of 2/3, by way of the slope formula.
The slope of option B, C and D are equal to 2/3.
The given slope is 2/3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
A) Using (0, 0) and (2, 3) we get slope as
Now, slope = (3-0)/(0-2)
=3/2
B) Using (0, 0) and (3, 2) we get slope as
Slope = (2-0)/(0-3)
= 2/3
C) Using (1, 5) and (4, 7) we get slope as
Slope = (7-5)/(4-1)
= 2/3
D) Using (-2, -2) and (4, 2) we get slope as
Slope =(2-(2))/(4-(-2))
= 4/6
= 2/3
E) Using (20, 30) and (-20, -30) we get slope as
Slope =(-30-30)/(-20-20)
= -60/(-40)
= 3/2
Therefore, the slope of option B, C and D are equal to 2/3.
To learn more about the slope of a line visit:
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expand and simplify (x+3)²
Answer:
x² + 9 + 6xStep-by-step explanation:
expand and simplify (x+3)²
(x+3)² =
x² + 9 + 2 × x × 3 =
x² + 9 + 6x
Answer:
x² + 6x + 9
Step-by-step explanation:
( x + 3 ) ²
( x + 3 ) ( x + 3 )
x ( x + 3 ) + 3 ( x + 3 )
x² + 3x + 3x + 9
x² + 6x + 9
Hope this helps you.
Let me know if you have any other questions :-)
Solve. −425=x−114 What is the solution to the equation? Enter your answer as a simplified mixed number in the box. FIRST PERSON TO ANSWER GETS 100 POINTS
Answer:
-311
Step-by-step explanation:
−425 = x − 114
=> x = -425 + 114
=> x = -311
Therefore, -311 is our answer.
Hoped this helped.
How to find the distance between two points.
Answer:
you take your small number and multiply it by the big number
Step-by-step explanation:
Help pleaseeee
Correct answers only
Answer: D 10
Step-by-step explanation:
Can someone please help me? Thank you!
Answer:
Step-by-step explanation:
1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.
Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]
2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{5}[/tex]
3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.
Radical form is [tex]\sqrt[5]{3^{2} }[/tex]
4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{3^{5} }[/tex]
If you need to ask any question, please let me know.Suppose you write the set {1000, 1001, 1002,..., 2000} in base 10. Then you record this set in base 5 and find the number in the new set whose digits have the least sum. What is this number, written in decimal notation? This number is
Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;
The number required is 1500The number in decimal notation is 1500.0Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:
{1000, 1001, 1002, 1003, 1004,......, 2000}
So that:
i. 1000 converted to base 5, we have:
5 1000
5 200 r 0
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13000_{5}[/tex]
ii. 1001 converted to base 5, we have:
5 1001
5 200 r 1
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13001_{5}[/tex]
iii. 1002 converted to base 5, we have:
5 1002
5 200 r 2
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13002_{5}[/tex]
So then, the set in base 5 is:
{13000, 13001, 13002, 13003, 13004,......, 31000}
To determine the number whose digits have the least sum;
a. 13000 = 1 + 3 + 0 + 0 + 0 = 4
b. 13001 = 1 + 3 + 0 + 0 + 1 = 5
c. 13002 = 1 + 3 + 0 + 0 + 2 = 6
d. 13003 = 1 + 3 + 0 + 0 + 3 = 7
e. 13004 = 1 + 3 + 0 + 0 + 4 = 8
. . . . . . .
. . . . . . .
z. 31000 = 3 + 1 + 0 + 0 + 0 = 4
Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:
[tex]\frac{1000+1500+2000}{3}[/tex] = 1500
The number is 1500The number in decimal notation is 1500.0Visit: https://brainly.com/question/25112081
Answer:
I think its 1500
Step-by-step explanation:
1500
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .
Answer:
The equation that represents the above statement is 17+x = 23
The value of x in the equation is 6
Step-by-step explanation:
17+x = 23
x = 23 - 17
x = 6
List the first six common multiples of 6 and 9
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Remember y=mx +b Given the following graph what would the equation be?
Answer:
b. y=1/2x-2
Step-by-step explanation:
We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2
Solve the system by substitution: y = 4x - 6
y=5x
Answer:
y=4x-6
5x=4x-6 {putting y =5x}
5x-4x=-6
x=-6
Whats the value of 6 in 1.267
Answer:
hundredths place
Step-by-step explanation:
How to divide different bases with same exponents.
find the value of x in the triangle.
[tex] = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21[/tex]
1.) 7x-3=18
2.) 9x-4=32
3.) 5x-1=64
4.)12x-9=39
5.) 2x-1=2
6.) 4x-8=10
7.) 15x-2=3
what is x^2+6^2=10^2
Answer:
Follow the order of operations and then solve from there
x^2 is simplifed to its max
6^2 is 36
10^2 is 100
x^2+36=100
Follow it normally
x^2=64
√64 = 8
x=8
**edited, sorry for the incorrect answer**
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First lets write our equation
[tex]x^2+6^2=10^2[/tex]
SolveWe will use PEMDAS, or also known as BOMDAS
[tex]x^2+36=100[/tex]
Subtract 36 from both sides
[tex]x^2=64[/tex]
Find the square root of 64
[tex]\sqrt{64} =8[/tex]
[tex]x=8[/tex]
Brainliest please :)
Help me with this please!!
Answer:
A=2/6 B=5/6
Step-by-step explanation:
I really hope this helps! (i love math!)
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c
Answer:
ln|sec(x) + tan(x)| + c
Step-by-step explanation:
∫sec(x) dx
secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))
let u = sinx
we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)
as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)
so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c
The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2
IM SO CONFUSED!!! I need help what is the difference between 1+0 and 1x1 HURRY DUE TODAY
Answer:
one is addition the other is multiplication, though, both the sum and product equal the same solution
Step-by-step explanation:
hope it helps
Answer:
The answer is 0
Step-by-step explanation:
1+0=1
1x1=1
1-1=0
P: It's sunny.
Q: It's snowing. R: It's not raining.
Translate the following words into symbols: It's sunny and it's not snowing.
ΟΡΔΟ
O Q–> P
O PA~Q
O~P ^ Q
Answer: Choice C. [tex]P \wedge \sim Q[/tex]
Explanation:
Anywhere you see "it's sunny", replace it with "P".
We'll replace the "and" with the symbol [tex]\wedge[/tex] which is used for conjunctions.
The squiggly [tex]\sim[/tex] refers to "not" and it negates or flips whatever statement Q is. Q stands for "it's snowing" so [tex]\sim Q[/tex] is the complete opposite of "it's not snowing".
We don't use statement R at all.
A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.
Answer:
Step-by-step explanation:
COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))
Translate the phrase into an algebraic expression.
The product of 6 and c
Answer:
c x 6 = x
Product judy basically means multiplication.
This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil
Answer:
If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)
135 x 3 = 405
1 x 3 = 3
2 x 3 = 6
130 x 3 = 390
1 x 3 = 3
2 x 3 = 6
So Sanjay would need the following to make 24 pancakes:
405g flour
3tsp baking powder
6tbsps sugar
390mL milk
3 eggs
6tbsps oil
Answer:
405 g flour
3 tsb baking soda
6 tbsps sugar
390 mL milk
3 eggs
6 tablespoons oil
Find the selling price for each item given the cost and the percent of the markup or discount.
flat-screen TV: $669; 23% markup
A. $153.87
B. $692
C.515.13
D.822.87
answer the following
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Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
Solve the slope for the table.
Answer:
5
Step-by-step explanation:
Change in Y / Change in X = Slope
5/1 = 5
Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.
Answer:
Mike's sisters age is 5 years old
Step-by-step explanation:
Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old