Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
b + 2s = 114b + 3s = 29From the first equation we get:
b = 11 - 2sReplacing in the second equation:
4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3Then
b = 11 - 2*3 = 11 - 6 = 5So banana split costs $5 and hot fudge sundae costs $3
Solve the equation.
2 ( 4z - 1) = 3(z+2)
Z=
Answer:
[tex]z = \frac{8}{5}[/tex]
Step-by-step explanation:
Calculate for the value of [tex]z[/tex] :
[tex]2(4z - 1) = 3(z + 2)[/tex]
-Use Distributive Property on both left and right:
[tex]2(4z - 1) = 3(z + 2)[/tex]
[tex]8z - 2 = 3z + 6[/tex]
-Take [tex]3z[/tex] and subtract [tex]8z[/tex] :
[tex]8z - 3z - 2 = 3z - 3z + 6[/tex]
[tex]5z - 2 = 6[/tex]
-Add [tex]2[/tex] to both sides:
[tex]5z - 2 + 2 = 6 + 2[/tex]
[tex]5z = 8[/tex]
-Take [tex]5z[/tex] and divide on both sides:
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
[tex]z = \frac{8}{5}[/tex]
Therefore, the value of [tex]z[/tex] is [tex]\frac{8}{5}[/tex].
The solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
The given equation is 2( 4z - 1) = 3(z+2).
To solve the given equation means we should determine the value of the variable z.
To solve this, we will first clear the brackets
[tex]2(4z - 1) = 3(z+2)[/tex]
Clearing the brackets
[tex]8z - 2 = 3z + 6[/tex]
Now, collect like terms
[tex]8z - 3z = 6 + 2[/tex]
Then,
[tex]5z = 8[/tex]
Now divide both sides by 5
[tex]\frac{5z}{5} = \frac{8}{5}[/tex]
∴ [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
Hence, the solution to the given equation is [tex]z = \frac{8}{5} \ or \ 1\frac{3}{5}[/tex]
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h(x)= x^2 - x g(x)= 2x-2 Find (h•g)(x)
Answer:
Step-by-step explanation:
(x^2 - x)(2x - 2)
2x^3 - 2x^2 - 2x^2 + 2x
2x^3 - 4x^2 + 2x
What is the solution to this equation?
10 - 3x + 8x = 25
O A. x=-3
O B. x = 5
O c. x = -5
D. x = 3
Answer:
x=3
Step-by-step explanation:
10-3x+8x=25
-10 -10
-3x+8x= 15
5x=15
5x/5=15/5
x=3
The midpoint of AB is M(2, -1). If the coordinates of A are (1,6), what are the
coordinates of B?
Answer:
work is attached and shown
The coordinate of point B will be (3, -8) for the given line segment.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given the line segment, AB
If the M(2, -1) is the midpoint of A(1,6) and B(x,y)
Then,
(1 + x)/2 = 2 ⇒ x = 3
(6 + y)/2 = -1 ⇒ y = -8
So B(3, -8).
Hence "The coordinate of point B will be (3, -8) for the given line segment".
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Certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil?
Answer:
Step-by-step explanation:
Here is a picture of the answer, since I couldn't put into words!
The mass of 15 liters of oil is 13.65 kg.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
What is the density?Density is the ratio of the mass of the body to the volume of the body.
Density = Mass / Volume
Given that oil has a density of 0.91 grams per milliliter
To determines the mass, in kilograms, of 15 liters of this oil
Rearranging the equation,
Mass = Density × Volume
∵ 15 liters = 15000 milliliters (ml)
So, 0.91g/ml x 15000ml = 13650g
∵ 1 kilogram = 1000grams
⇒ 13650g / 1000g/kg
⇒ 13.65kg
Thus, the mass of 15 liters of oil is 13.65kg.
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Help! Will give brainliest
Which of the following could be rewritten as an addition problem of two integers with the same sign?
0-8-10
0 -8 + 10
08-10
O-8-(-8)
This can be written as -8 + (-10). Subtracting a positive is the same as adding a negative.
One way to think of negatives is to think of debt in money. Writing -8 means you are 8 dollars in debt. Add on 10 more dollars of debt and you'll be 8+10 = 18 dollars in debt total. So this is one way to see how -8-10 = -8+(-10) = -18.
Or you can think of it as if you are in a submarine. The number -8 could represent the idea you are 8 miles below sea level. Then if we subtract 10 from this, or add on -10, it means we're going down another 10 miles to get a total depth of 18 miles below sea level. At this point, we would write -18.
what is the range of the graph
Answer:
Range: [1, 5]
Step-by-step explanation:
The range of a graph is all the y-values that are outputted by x-value inputs.
We see that our range spans from 1 to 5, and since they are closed dots, they are included in our range. Therefore, our range is [1, 5].
are my answers correct if not can you explain why please?
Evaluate the function 7(x) = 2x+8 when x = 6.
O 96
O 28
O 20
O 16
Answer:
20
Step-by-step explanation:
Substitute x = 6 into f(x), that is
f(6) = 2(6) + 8 = 12 + 8 = 20
What’s #10 I need it worked out not just the answer.
Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?
1) 1:3
2) 3:4
3) 4:3
4) 7:3
Answer: 4:3
Step-by-step explanation: Because there are 4 game app for every 3 educational app.
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month, What will be the change in Jennys total allowance? A $7.20 B $5.40 C -$6.40 D -$7.20
Answer:
D -$7.20
Step-by-step explanation:
If she takes (substance) $2.40 every times she forgets to do a chores you have to substance but first you have to multiply because she forgets 3 times 2.40 × 3 is 7.20but since she taking it away it would be negativeso your answer is -$7.20
I hope this helps
$7.20 will be Jennys total allowance.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.
If she forgets three times in a month.
Thus, Jennys total allowance will be
=2.40 x 3
=$7.20
Hence, $7.20 will be Jennys total allowance.
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Please help lol
Answer options:
A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)
Complete the following statement 6(30 – 3) =
Answer:
162
Step-by-step explanation:
30-3 = 27
6(27) = 162
Pls help me with this question
Over which interval is the graph of y= cos(x) strictly increasing?
A. 0 B. 0 C.pi/2D. Pi< x <2pi
Answer:
D. [tex]\pi<x<2\pi[/tex]
Step-by-step explanation:
Given the function
[tex]y=cosx[/tex]
Kindly refer to the graph attached in the answer area.
Referring to the intervals [0, [tex]2\pi[/tex]].
It decreases from the interval [0, [tex]\pi[/tex]] and then starts increasing in the interval
[tex][\pi,2\pi][/tex].
Proving by taking derivative:
Taking derivative of the function, [tex]y=cosx[/tex]
[tex]\dfrac{dy}{dx}=-sinx[/tex]
In the interval [tex][\pi,2\pi][/tex], [tex]sinx[/tex] is negative i.e. [tex]sinx<0[/tex].
Therefore [tex]-sinx>0[/tex]
When, the derivative of a function is positive, then the function is strictly increasing.
So, the answer is:
D. [tex]\pi<x<2\pi[/tex]
Which of the following expressions is equivalent to (x + 5)2?
O A. (x + 5)(x + 5) + 10(x + 5)
OB. (x - 5)(x + 5) + 10(x + 5)
OC. (x + 5)(x + 5) + 10(x - 5)
OD. (x - 5)(x - 5) + 10(x - 5)
Please someone help me this texts is so important and I need it done by the end of today!
Answer:
B
Step-by-step explanation:
Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.
Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)
Solve the first piece (x-5)(x+5) by doing something like FOIL.
x^2-25
Do the second piece
10x+50
When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).
please help i need this ASAP. i dont know what im doing
Answer:
Second Option
Step-by-step explanation:
Graph is sloping down so your first number must be negative, hence eliminating option 3.
y-intercept is negative, hence eliminating option one. By process of elimination, your answer is option 2. Sorry for the brief explanation. Do let me know if you need any further explanation. Thanks!
4x²-9y²-6x-9y Factorize
Answer:
Step-by-step explanation:
Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity on their $140 bill. Use the diagram to identify the amount of the tip.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total 140 dollars.
Answer:
The tip is 35 dollars
Step-by-step explanation:
Divide 140 by 4 to get 25%
140/4 = 35
35+35+35+35 = 140
25% of 140 = 35
The tip is 35 dollars
Answer:
35
Step-by-step explanation:
trust
Monica reads 7 1/2 pages of a mystery book in 9 minutes what’s her average reading rate in pages per minute
Answer:
0.83
Step-by-step explanation:
Combining Like Terms
Equation: 5x + 7y -2x + 3y
So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer
When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?
Step-by-step explanation:
Given
X+ 2 = 0
X = -2
on putting in polynomial
-8a +2b= 0
- 8a = 2b
b = -4a
Now
when divided by x - 1 give remainder -15
so
x - 1 = -15
x = -14
on putting in polynomial
-2744a + 198 + 14b - 4 = -14
-2744a + 56a = - 208
-2688a = -208
a = 168/13
Now
b = 672/13
WHAT is 1+6+8+9+7-5+81
Step-by-step explanation:
1+6+8+9+7-5+81
= 107
....
10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010
Evaluate each expression.
6! =
3! - 2! =
6!/3!=
Answer:
I hope it will help you :)
Answer:
6! = 720
3! - 2! = 12
6!/3!= 120
Step-by-step explanation:
just finished the assignment.
-4x + 9 = -7x - 12 +7x +7x 3x + 9 +12 -9 -9 3X 3 ------ = ------ 3 3 x= 1 What is the error or is there no error ?
Answer:
Okay, I think you mean't 4x-9=6x+12.
Step-by-step explanation:
x=-7
50 points PLSS HELP MEE!!!! What is the value of x in the equation 5x+3 - 4x? -3
- 17
3
Answer:
-3Step-by-step explanation:
I believe it is
5x+3 = 4xAdding -4x - 3 to both sides
5x +3 - 4x - 3 = 4x - 4x - 3Simplifying
x = - 3Answer is - 3
Answer:
x + 3
Step-by-step explanation:
5x + 3 - 4x
(5x - 4x) + 3
x + 3
Best of Luck!
0.2- 4/10 - 1.625=???
Answer:
-1.825
Step-by-step explanation:
Just subtract!
Evaluate the expression for v = 12.
Write your answer as a decimal or whole number.
–10.9 + 4v =
Answer:
1.
v = 12
-10.9 + 4v
-10.9 + 4(12)
-10.9 + 48
= 37.1