HELP!! Emma made punch with
1
4
How many gallons of ginger ale does she need to add to make a total of 4 gallons of punch?
Part A
Which diagram can Emma use to help find the number of gallons of ginger ale she needs?
O
B.
A.
4 gal
g
g
9
g
1
2
7
8
3
4
g
O
D.
g
g
Answers
Part A
Answer: Choice B (upper right corner)Explanation: Simply add the fractions mentioned, plus the g term, and that leads to a total of 4 gallons overall.
=====================
Part B
Answer: Choice A. 7/8 of a gallon (upper left corner)Explanation:
The mixed number 1 & 1/2 converts to the improper fraction 3/2
Adding the fractions gets us to
(3/2) + (7/8) + (3/4)
(12/8) + (7/8) + (6/8)
(12+7+6)/8
25/8
So far, 25/8 of a gallon is accounted for. Add on the g to get (25/8)+g
Set this equal to the 4 gallons we want and solve for g
(25/8)+g = 4
g = 4 - (25/8)
g = (32/8) - (25/8)
g = (32-25)/8
g = 7/8
She needs 7/8 of a gallon of ginger ale
Related Questions
Two towers A and B are 45m and 30m high. Tower A lies to the west and B to the east of a man 1.5m tall. From the mans eye level, the angle of elevation of the top of A and B are 66° and 28° respectively. Calculate correct to three signigicant fugures the distance between A and B.
Answers
Answer:
73.0m
Step-by-step explanation:
see the attachment. Hope it helps.
Choose the function whose graph is given by: A. y=tan(x+1)-pi B. y=tan(x-pi)-1 C. y=tan(x-pi)+1 D. y=tan(2(x+pi))-1
Answers
Aver si le entiendes bro
Triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 and centered at point A. Is triangle ABC congruent to triangle A'B'C'? Explain your answer.
Answers
Answer:
See below
Step-by-step explanation:
Congruent means having the same size and shape.
If triangle A'B'C' is the image of triangle ABC after a dilation with a scale factor of 1/2 then the two triangles will not acquire the same size
This is because when a shape undergoes a dilation the dilated image is either larger or smaller and can therefore not maintain the same size as the pre image. Hence the triangles are not congruent.
Triangle ABC is not congruent to triangle A'B'C'
How to determine the congruent statement?The triangles are given as:
Triangle ABC and A'B'C'
The other parameters are:
Scale factor, k = 1/2
Center = Point A
Since the scale factor is not 1, then the triangles would not be congruent; but they would be similar
Hence, triangle ABC is not congruent to triangle A'B'C'
Read more about dilation at:
https://brainly.com/question/9791066
Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1). What is the modulus of z?
Edge
Answers
Answer:
The modulus of z is [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Complex number:
A complex number, given by:
[tex]z = x + iy[/tex]
Can be represented also as a point (x,y).
The modulus is given by:
[tex]|z| = \sqrt{x^2 + y^2}[/tex]
Point z is at (negative 3, 1). What is the modulus of z?
[tex]x = -3, y = 1[/tex]. So
[tex]|z| = \sqrt{x^2 + y^2} = \sqrt{(-3)^2+1^2} = \sqrt{10}[/tex]
The modulus of z is [tex]\sqrt{10}[/tex]
Answer:
-2
Step-by-step explanation:
if this is the right problem it is -2
What number must you add to complete the square? x^2+26x=11
Answers
Answer:
[tex] {x}^{2} + 26x = 11 \\ x = 0.4 \: and \: - 26.4[/tex]
The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997. Find the average rate of change in the number of public library visits from 1993 to 1997.
Answers
Answer:
The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.
Step-by-step explanation:
Average rate of change:
Division of the subtraction of the final value by the initial value, divided by the length of time.
The number of visits to public libraries increased from 1.3 billion in 1993 to 1.7 billion in 1997.
Initial value: 1.3 billion
Final value: 1.7 billion
1997 - 1993 = 4 years.
Thus:
[tex]A = \frac{1.7 - 1.3}{4} = \frac{0.4}{4} = 0.1[/tex]
The average rate of change in the number of public library visits from 1993 to 1997 was of 0.1 billion an year.
A 20-year loan of 1000 is repaid with payments at the end of each year. Each of the first ten payments equals 150% of the amount of interest due. Each of the last ten payments is X. The lender charges interest at an annual effective rate of 10%. Calculate X.
Answers
Answer:
[tex]x = 97[/tex]
Step-by-step explanation:
Given
[tex]t = 20[/tex] --- time (years)
[tex]A =1000[/tex] --- amount
[tex]r = 10\%[/tex] --- rate of interest
Required
The last 10 payments (x)
First, calculate the end of year 1 payment
[tex]y_1(end) = 10\% * 1000 * 150\%[/tex]
[tex]y_1(end) = 150[/tex]
Amount at end of year 1
[tex]A_1=A - y_1(end) - r * A[/tex]
[tex]A_1=1000 - (150 - 10\% * 1000)[/tex]
[tex]A_1 =1000 - (150- 100)[/tex]
[tex]A_1 =950[/tex]
Rewrite as:
[tex]A_1 = 0.95 * 1000^1[/tex]
Next, calculate the end of year 1 payment
[tex]y_2(end) = 10\% * 950 * 150\%[/tex]
[tex]y_2(end) = 142.5[/tex]
Amount at end of year 2
[tex]A_2=A_1 - (y_2(end) - r * A_1)[/tex]
[tex]A_2=950 - (142.5 - 10\%*950)[/tex]
[tex]A_2 = 902.5[/tex]
Rewrite as:
[tex]A_2 = 0.95 * 1000^2[/tex]
We have been able to create a pattern:
[tex]A_1 = 1000 * 0.95^1 = 950[/tex]
[tex]A_2 = 1000 * 0.95^2 = 902.5[/tex]
So, the payment till the end of the 10th year is:
[tex]A_{10} = 1000*0.95^{10}[/tex]
[tex]A_{10} = 598.74[/tex]
To calculate X (the last 10 payments), we make use of the following geometric series:
[tex]Amount = \sum\limits^{9}_{n=0} x * (1 + r)^n[/tex]
[tex]Amount = \sum\limits^{9}_{n=0} x * (1 + 10\%)^n[/tex]
[tex]Amount = \sum\limits^{9}_{n=0} x * (1 + 0.10)^n[/tex]
[tex]Amount = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
The amount to be paid is:
[tex]Amount = A_{10}*(1 + r)^{10}[/tex] --- i.e. amount at the end of the 10th year * rate of 10 years
[tex]Amount = 1000 * 0.95^{10} * (1+r)^{10}[/tex]
So, we have:
[tex]Amount = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1+r)^{10}[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1+10\%)^{10}[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1+0.10)^{10}[/tex]
[tex]\sum\limits^{9}_{n=0} x * (1.10)^n = 1000 * 0.95^{10} * (1.10)^{10}[/tex]
The geometric sum can be rewritten using the following formula:
[tex]S_n = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]S_n =\frac{a(r^n - 1)}{r -1}[/tex]
In this case:
[tex]a = x[/tex]
[tex]r = 1.10[/tex]
[tex]n =10[/tex]
So, we have:
[tex]\frac{x(r^{10} - 1)}{r -1} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]\frac{x((1.10)^{10} - 1)}{1.10 -1} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]\frac{x((1.10)^{10} - 1)}{0.10} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
[tex]x * \frac{1.10^{10} - 1}{0.10} = \sum\limits^{9}_{n=0} x * (1.10)^n[/tex]
So, the equation becomes:
[tex]x * \frac{1.10^{10} - 1}{0.10} = 1000 * 0.95^{10} * (1.10)^{10}[/tex]
Solve for x
[tex]x = \frac{1000 * 0.95^{10} * 1.10^{10} * 0.10}{1.10^{10} - 1}[/tex]
[tex]x = 97.44[/tex]
Approximate
[tex]x = 97[/tex]
hi will you assit me please? God bless you for helping students
Answers
Of the animals at a pet show, 3/8 were cats and 4/8 were dogs. The rest of the animals were rabbits. What fraction of the animals were rabbits?
Answers
Answer:
1/8 Of the animals are rabbits.
Step-by-step explanation:
3/8 Cats + 4/8 Dogs = 7/8
1/8 Is all you have room left for so 1/8 would be rabbits.
Answer:
1/8.
Step-by-step explanation:
Fraction of rabbits = 1 - (3/7 + 4/8)
= 1 - 7/8
= 8/8 - 7/8
= 1/8.
what is the sum of the rational expressions x-4/2x+3x/2x-1
Answers
Answer:
May the ans will help you.
The table represents the equation y= 8x what y= value is missing from the table?
Answers
Answer:
24
Step-by-step explanation:
y=8(3)= twenty four
you just fill in the x
HELP PLEASE WITH THESE IM SO LOST AND NEED HELP! 1-4!
Answers
Answer:
1.tenisha
2.1\5+1\3=1\×
3.n-12=1\3(n+2)
4.500×=120
help what's the answer??
Answers
= 69/12 - 8/12 - 30/12
= 31/12
b) La base de un
Es 3cm mas.
que la altura
Si el aria del triangulo es 35 cm2 ¿cuáles son las medidas de la base y lo oltura del triangulo?
Answers
Answer: The height of the triangle is 23.3 cm
Step-by-step explanation:
To calculate the area of a triangle, we use the equation:
[tex]Area=\frac{1}{2}\times b\times h[/tex]
where,
b = base of the triangle = 3 cm
h = height of the triangle = ?
Area of the triangle = [tex]35cm^2[/tex]
Putting values in above equation, we get:
[tex]35cm^2=\frac{1}{2}\times 3cm\times h\\\\h=\frac{2\times 35}{1\times 3}=23.3cm[/tex]
Hence, the height of the triangle is 23.3 cm
Assuming p: she is beautiful,q :she is clever,the verbal form of ~p^ (~q) is she is beautiful but not clever. she is beautiful and clever she is not beautiful and not clever.she is beautiful or not clever.
Answers
Answer:
C. she is not beautiful and not clever.
Step-by-step explanation:
A. she is beautiful but not clever. B. she is beautiful and clever
C. she is not beautiful and not clever.
D. she is beautiful or not clever.
p: she is beautiful
q :she is clever
~p^ (~q) in verbal form
~p = she is not beautiful
~q = she is not clever
~p^ (~q) = she is not beautiful and not clever.
C. she is not beautiful and not clever.
Find the equation of the line that has a slope of 7 and a y intercept of -10. Write you answer in the form of y = mx + b
Answers
Answer:
Step-by-step explanation:
y = mx + b is the slope-intercept form of a line where m is the number value of the slope and b is the number value of the y-intercept. Our slope is given as 7, therefore, m = 7 in our equation. Our y-intercept is given as -10; thus, b = -10. Filling that in gives us y = 7x - 10
Step 1: Rewrite information
y=mx+b
Slope of 7
Y intercept of -10
Step 2: Understand each component
To properly solve this equation, it helps to understand each part of the equation.
Y- Answer
M- Slope
X- Variable
B- Y intercept
Step 3: Substitute numbers
Using the information from step 2, substitute each number in the correct part.
y=7x+ -10
Step 4: Final equation
The equation y=7x+ -10 is almost correct, except that we cannot have a + and - sign next to each other. The equation will hav the same meaning if we were to remove the plus sign.
y=7x-10 is the final answer!
Hope this helps :)
PLEASE HELPPPPPPP QUICKKKKKKKK
Answers
Answer:
What do you need help with?
Step-by-step explanation:
You didn't put a question
if a line intersect x axis at a point (6,0) and y axis at a point (0,-8). then what is equation of a line?
Answers
Answer: y = 4/3x -8
Step-by-step explanation:
(6,0) (0,-8)
0-(-8)/6-0 = 8/6 = 4/3
y intercept is given already
please step by step with formula.
Suppose that you deposit $3,850 in an account paying 4.65% simple interest. How long will it take to earn $150 in interest?
Answers
Answer:
0.837
Step-by-step explanation:
3850*4.65%=179.025
150/179.025=0.837
0.837
12 Jy
10
Which statement is true regarding the graphed
functions?
g
18
f(
4
Of(0) = 2 and g(-2) = 0
Of(0) = 4 and g(-2) = 4
Of(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
2
3 4
5 6 x
t6 -5 -3 -2 -12
-4
16
8
10
-121
Mark this and retum
Save and Exit
Next
Submit
Answers
Given:
The graphs of the function f(x) and g(x).
To find:
The correct statement for the given graph.
Solution:
From the given graph it is clear that, the function f(x) passes through the points (0,4) and (2,0). So,
[tex]f(0)=4[/tex]
[tex]f(2)=0[/tex]
[tex]f(-2)\neq 0[/tex]
The graph of the function g(x) passes through the point (-2,0). So,
[tex]g(-2)=0[/tex]
Since [tex]f(2)=0[/tex] and [tex]g(-2)=0[/tex], therefore the correct option is C.
The graphs of the given functions, f(x), and g(x), bounces off the x-axis.
Correct response:
The true statement regarding the graphed function is the option;
[tex]\underline{f(2) = 0 \ and \ g(-2) = 0 }[/tex]Method used to find the true statementThe properties of the graph of f(x) and g(x) are;
When x = 0, the value of f(x) is; f(0) = 4
Therefore;
f(0) = 4
When x = 2, the value of f(x), which is the point on the graph corresponding to a x-value of 2 is; [tex]\underline{f(2) = 0}[/tex]
When x = 0, g(x) value is g(0) = 4
When x = -2, g(x) is; g(-2) = 0
The correct option is therefore;
[tex]\underline{f(2) = 0 \ and \ g(-2) = 0}[/tex]Learn more about functions here:
https://brainly.com/question/4179708
A man takes a 375-mile trip to Miami. His large car gets 18 miles per gallon, and his small car gets 32 miles
per gallon. How many gallons of gas will he save if he takes the smaller car?
Answers
Answer: 9 gallons
Step-by-step explanation:
How many gallons needed for small car: 375/32 = 11.7 or 12
How many gallons for large car: 375/18 = 20.8 or 21
21-12 = 9
A movie theater sells matinee tickets for $6 each and has a capacity of 100 people. The function M(x) = 6x represents the amount of money the movie theater makes from ticket sales,
where x is the number of customers. What would be the most appropriate domain for the function? (1 point)
Whole numbers less than or equal to 100
Whole numbers that are multiples of 6
All real numbers
All whole numbers
Answers
Answer:
A. Whole numbers less than or equal to 100
Step-by-step explanation:
The domain is the set of x numbers that can be plugged in to a certain equation.
Since the capacity of this movie theater is 100, x can be between 0 and 100, inclusive.
Answer choice A makes sense because whole numbers are definitionally positive integers and this choice caps out at 100.
The ratio of girls to boys in a particular classroom is 4:3. What fraction of the total number of students are boys?
The ratio of boys to the total number of students in a particular classroom is
Answers
Answer:
3:7
Step-by-step explanation:
We know that there are 4 girls and 3 boys and 4+3=7.
Determine the perimeter of the figure below
Answers
Answer:
39 feet
Step-by-step explanation:
p = 15 + 8 + 10 + 6
p = 39
39 feet
What is the value of x in the equation 1/5x-2/3y = 30, when y = 15
Answers
Answer:
x=200
Step-by-step explanation:
(1/5)x-(2/3)y=30, y=15
(1/5)x-(2/3)*15=30
(1/5)x=40
x=200
Find the area of the figure below. ANSWER in NUMBER ONLY
Answers
==================================================
Work Shown:
area = base*height
area = 8*10
area = 80 square cm
The slanted sides aren't used. We only use the horizontal base 8 and vertical height 10. The base and height are always perpendicular to one another.
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
a) correct
b) 70 degrees
Step-by-step explanation:
since in the triangle BXC the sides BX and XC have the same length, they must also have the same angles with the baseline BC.
so, we know, XBC = 55 degrees.
and therefore BCX = 55 degrees.
the sum of all angles in a triangle is always 180 degrees.
so,
BXC = 180 - 55 - 55 = 70 degrees
The length of a rectangle is 5 inches longer than it is wide. If the area is 84 square inches, what are the
dimensions of the rectangle?
The width, or shorter side is i inches
Enter an integer or decimal number (more..
inches
The length, or longer side is
Answers
Answer:
b = 7 inches and l = 12 inches
Step-by-step explanation:
Given that,
The area of a rectangle, A = 84 sq inches
Let the width is b.
Length = (5+b)
The area of a rectangle is given by :
A = lb
So,
[tex]84=b\times (5+b)\\\\b^2+5b-84=0\\\\(b-7)(b+12)=0\\\\b=7\ in, b =-12\ in[/tex]
Neglecting negative value,
b = 7 inches
Length, l = 5+b = 5+7
l = 12 inches
mary is 1 m 15 cm tall. her friend larry is 1 m 30 cm tall. who is taller and by how much?
Answers
Answer:
Mary's friend Larry is taller by 15cm.
Step-by-step explanation:
First look for the bigger number.
Then subtract the smaller number from the bigger number.
i'll promise to give the brainliest ! so, can someone help me with this one please
Answers
Answer:
13inches
Step-by-step explanation:
hope it works boy
answer:
thanks for the points luv
