Answer:
10.5 bottles of orange juice
Step-by-step explanation:
Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?
Number of bottles of orange juice = x
Number of bottles of soda water = y
The recipe calls for 3.5 times as many bottles of soda water as orange juice.
Hence,
x = 3.5y
If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle
We have:
3.70y + 0.90× 3.5= 20.55
3.70y + 3.15y = 20.55
6.85 = 20.55
y = 20.55/6.85
y = 3 bottles
Since, Number of bottles of soda water = y, Number of bottles of soda water = 3
Note that: x = 3.5y
x = 3.5 × 3
x = 10.5 bottles
Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles
What is the slope of this line?
A. 3
B. -1/3
C. -3
D. -2
E. 4
Answer:
-3
Step-by-step explanation:
Pick two points on the graph, lets go with (0, 4) and (1, 1)
y = mx + b
m is the slope and to figure it out use below formula
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (1 - 0)
= -3 / 1
= -3
Answer:
C. -3
Explanation:
Given problem;
To solve for the slope of the line;
The slope of a line is the vertical distance to the horizontal displacement on a line.
Slope = [tex]\frac{Vertical distance}{horizontal displacement}[/tex]
For lines such as this, we use the formula below;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
To find the slope reference the image attached;
point 1 (0,4) x₁ = 0 y₁ = 4
point 2 (2,-2) x₂ = 2 y₂ = -2
Now input the parameters and solve;
Slope = [tex]\frac{-2 - 4}{2 - (0)}[/tex] = [tex]\frac{-6}{2}[/tex]
Slope = -3
The slope of the line is -3
Given g(x) = 3x + 8 , what is the value of g(− 4) ?
Answer:
- 4
Step-by-step explanation:
Step 1:
g ( x ) = 3x + 8 Function
Step 2:
g ( x ) = 3 ( - 4 ) + 8 Input x
Step 3:
g ( x ) = - 12 + 8 Multiply
Answer:
g ( x ) = - 4 Add
Hope This Helps :)
Answer:
g(-4) = -4
Step-by-step explanation:
So we are given the function g(x) = 3x + 8 and we are asked to find g(-4). To find g(-4), we would have to plug in -4 for x in the equation for g(x).
g(-4) = 3(-4) + 8 = -12 + 8 = -4
So g(-4) = -4.
I hope you find my answer and explanation to be helpful. Happy studying.
Please help me with this math problem
Answer:
28x
Step-by-step explanation:
i took the test
A boat has a speed of 9 mph in Coldwater. It takes about four hours to travel upstream but only two hours to travel the same distance down stream. Which equation can be used to find C, the speed of the current in miles per hour?
Quadrilateral JKLM is dilated by a scale factor of 2 with a center of dilation at the origin to form quadrilateral J' K’ L’ M’
What are the coordinates of point J ?
A.(2,2)
B.(4,6)
C.(6,2)
D.(6.4)
Help FASTTT‼️‼️‼️‼️
The answer is
A.(2,2)
The new coordinates of point J' of the quadrilateral J' K’ L’ M’ is option (D) (6,4) is the correct answer.
What is transformation of dilation?Dilation is a kind of transformation in which an object is resized based on a scale factor. Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape.
For the given situation,
Quadrilateral JKLM is dilated by a scale factor of 2 with a center of dilation at the origin to form quadrilateral J' K’ L’ M’.
To dilate the figure by a factor of 2, we need to multiply the x and y-value of each point by 2.
Here the coordinates of J is (3,2).
The dilation factor is 2, so multiply both the x and y value by 2.
Thus x value is
[tex]3(2)=6[/tex]
and y value is
[tex]2(2)=4[/tex]
Hence we can conclude that the new coordinates of point J' of the quadrilateral J' K’ L’ M’ is option (D) (6,4) is the correct answer.
Learn more about transformation of dilation here
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At El Rodeo it costs $8 for a burrito and $5 for a taco. Last week, El Rodeo made $1123 from selling burritos and tacos. If 76 burritos were sold, write and solve a linear equation to find how many tacos were sold.
SOLUTION:
Question Blank
type your answer...
tacos were sold
Answer:
103 tacos were sold
Step-by-step explanation:
8(76)+5x=1123
608+5x=1123
-608 -608
5x=515
/5 /5
x=103
A factory made 357,945 baseball bats over the last 2 years. During that time, the factory made 490,867 little league baseballs and 389,839 major league baseballs. How many more baseballs than bats were manufactured during the 2 years? Liliana's answer to this question is below. Her teacher says her answer is not reasonable. Look over her work before answering (a) and (b).
Answer:
522,761 baseballs
Step-by-step explanation:
Number of baseball bats produced over the last 2 years = 357, 945
Number of little league baseballs produced over the last 2 years = 490,867
Number of major league baseballs produced over the last 2 years = 389,839
Total number of baseballs produced over the period = 490,867 + 389,839
= 880,706
Number of baseballs manufactured more than bats = 880,706 - 357945
= 522,761
There are 522,761 baseballs produced more than bats during the 2 years.
0.82 divided by what = 0.0082
Answer:
100
Step-by-step explanation:
You move the decimal to the left, 2 times.
You can only move it over like that if you are working with 10, 100, 1,00, ect.
If you were multiplying you would move it to the right.
Answer:
100
Step-by-step explanation:
Please help
Dion bought tickets for Fun Park so that he and his friends would each have the same number of tickets. There are enough tickets so that each person can
ride the go-carts once, play video games three times, and play laser tag twice.
When Dion purchased the tickets for himself and his eight friends, he realized
that he could purchase ticket books, individual tickets, or a combination of
books and individual tickets. Dion figured out the cheapest way to buy tickets for his
group. What was the cheapest way and what was the total cost?
Answer:
25
Step-by-step explanation:
1. Here is a polygon. Draw a scaled copy of the polygon using a scale factor of 1/2.
The scale of a map says that 8 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Must show your math thinking on the sketchpad.You may use a calculator, but must show the calculations you used.
Answer: For the first question it is basically half of the polygon.
Step-by-step explanation:
If you count the units, for example one of the side is 4 units. What is half of 4. It is 2
5 plus 5 and 6 plus 6
Answer:
5+5=10
6+6=12
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
5+5=10
6+6=12
add them up
22
Write an equation for the parabola with the vertex (0,0) and focus (5,0)
Answer:
Step-by-step explanation:put ha times 4 then divide it by ha 23Is the square root of 16.45 a rational number or irrational number?
Answer:
Irrational
Step-by-step explanation:
The square root of 16.45 would be a number that will never end, making it irrational.
Answer:
irrational
Step-by-step explanation:
4.05585995813
does not terminate or repeat
not an integer
the sum of two consecutive integers is -35. Name the integers
Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin , how much money does he have left?
Large and small cans of peanuts were sold at a school fundraiser. One student sold
three small cans and nine large cans of peanuts for a total of $75. Another student
sold five small cans and seven large cans of peanuts for a total of $69. What is the
cost of the small and large cans of peanuts?
A Small can for $6.29 and large can for $7.00
B Small can for $4.86 and large can for $6.00
C Small can for $4.00 and large can for $7.00
D Small can for $7.00 and large can for $9.00
Answer:
the answer is c.
Step-by-step explanation:
4 x 5 + 7 x 7 = 69
4 x 3 + 7 x 9 = 75
Cost is small can for $4.00 and large can for $7.00.
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Let S be the number of small cans and L be the number of large cans.
According to the question,
One student sold three small cans and nine large cans of peanuts for a total of $75.
That means the equation is ;
3S + 9L = 75 {equation 1}
And similarly for another student;
5S + 7L = 69 {equation 2}
Now we have two system of the equation.
3S + 9L = 75 {equation 1}
5S + 7L = 69 {equation 2}
Using elimination process,
we multiply 5/3 to equation 1,
5S + 15L = 125
And subtract equation 1 to the equation 2,
we get L = 7 and S = 4
Therefore, small can for $4.00 and large can for $7.00
To learn more about the system of equation;
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What is the remainder of 832 divided by 77?
Answer:
[tex]10\frac{62}{77}[/tex]
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Answer:
62
Step-by-step explanation:
find it out then you see what is left after the question is through
The cheerleading squad received 1/4 of the total sales of foam fingers and pom-poms at a pep rally. The squad received $258 in sales for the foam fingers and a total overall in sales of $136.75. What was the value of pom-pom sales?
Answer:102.56
Step-by-step explanation:136.75 - 25% = 102.56
25% of 136.75 = 34.19
help please because i am very dumb
Answer:
A.7,000
B20,000
c.300,000
Step-by-step explanation:
Determine whether side-angle-angle (SAA) is a valid means for establishing triangle congruence. In this case, you know the measure of a side, an adjacent angle, and the angle opposite to the side. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.
20 points
SAA = corresponding angle
the answer is 28 degree
FIRST CORRECT ANSWER GETS BRAINLIEST, 43 ISNT THE ANSWER THANKS
Step-by-step explanation:
10+2+2+7+5+3+8+8= 21+24= 45units
Which numbers round to 7.91 when rounded to the nearest hundredth? Select all that apply.
A. 7.914
B. 7.905
C. 7.901
D. 7.915
E. 7.909
Answer:
A. 7.914
B. 7.905
E. 7.909
Answer: A D AND E
Step-by-step explanation:
There the answers i took that test
What is the solution to this equation? 2 x + 3 = x − 4
Answer:
the answer is -7
Step-by-step explanation:
hope this helps
Answer:
-7
Step-by-step explanation:
Kali had a total of 21 balloons at her birthday party. The ratio of blue balloons to green balloons is shown in the tape diagram.
Answer:
there were 12 blue balloons at Kali’s party
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The length of the side of a regular nonagon is 7.86cm. Evaluate the perimeter of the nonagon.
Answer: 70.74
Step-by-step explanation:
A Nonagon has 9 equal sides, and each side of the given is 7.86
So 7.86 multiplied by 9 is 70.74
1/5 X– 5 = 15
I have no clue how to do this please help
I don't know where you got 15 from.
Answer: -1
Step-by-step explanation:
Multiply
1/5 × ( −5 ) = -5/5
Simplify
-5/5− = -1
Answer:
x=100
Step-by-step explanation:
1/5x -5 =15
-5
+5
___
0
then u do
1/5 divided by 20 =100
and the 1/5 cancel out and makes it only x so u drop it and it the answer will be
x=100
Choose the correct answer :
0,2444... and 0,244
1 ) 0,2444...=0,244
2) 0,2444...<0,244
3) 0,2444...>0,244
Answer:
2
Step-by-step explanation:
Determine the domain of the function (f of g)(x) where f(x)=1/ x+3, g(x) =2/x.
Answer:
(-infinity, -2/3)u(-2/3,0)u(0, infinity)
Step-by-step explanation:
since it is asking for f(g(x)) we plug g into x which looks like:
f(2/x)
now we plug that into the f(x) equation for all of the x's because that is what replaced the x so:
1/(2/x)+3
we look at the denominator so we can pull the 2/x+3 out and set it equal to zero, therefore solving for x
this gives us -2/3
and we get the 0 from g(x) 's denominator
that should be correct and hope this helps!
9. Let p be "an animal is a dog" and let q be "an animal is a golden retriever." Write the conditional statement.
Then decide whether it is true or false.
a. If an animal is a golden retriever, then it is a dog; true
b. If an animal is not a golden retriever, then it is not a dog; false
C. If an animal is a dog, then it is a golden retriever; false
If an animal is not a dog, then it is not a golden retriever; true
Answer:
C. If an animal is a dog, then it is a golden retriever; false
Step-by-step explanation:
Logical reasoning is an important aspect of mathematics.
The conditional statements in the question are represented by the letters p and q. The if-then statement in which the statement p will lead to a conclusion in q is a glaring characteristic of conditional statements. A conditional will be held to be true unless a statement that is true has a false conclusion derived from it.
In the question above, the conditional statement is; If an animal is a dog, then it is a golden retriever. We can clearly see that this conclusion is false.
My age is 9 years, My sister is half of my age. Now I'm 49 years, How old is my sister?
Answer:
i think it is 24