1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.
2. Convert all dimensions to feet:
1 yard = 3 feet
18 inches = 1.5 feet.
Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.
Multiply gallons per cubic foot by cubic feet of tank:
7.5 x 4.5 = 33.75 gallons.
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
a=24
C=26
What is the length of b?
Answer:
10
Step-by-step explanation:
you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10
Becky needs to choose a new cell phone plan. She has 2 choices. Carolina Cell offers a monthly fee of $20.79 and $2.00 for each gigabyte of data used. Sanford Cell offers a monthly fee of $22.89 and $1.50 for each gigabyte of data used. What is the amount of gigabytes, to the nearest tenth, when both plans would cost the same?
Answer:
4.2 gigabytes
Step-by-step explanation:
To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:
20.79+2x=22.89+1.50x, where x is the number of gigabytes used.
Now, you can solve for x:
2x+1.50x=22.89-20.79
0.5x=2.1
x=2.1/0.5
x=4.2
According to this, the answer is that both plans would cost the same when 4.2 gigabytes are used.
3 to the 7th power time 3 to the -4th
Answer:
3 to the 3rd power
Step-by-step explanation:
Hi purple (I think that was your name) please hopefully you see this I was messing around with this app and I logged out I was logged in with my old school email so now it doesn’t work so I had to make this acc it’s my school new school email please send me the pic of the carnival hw again please.
Answer:
I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.
Cuantos ejes de simetría tiene un vaso una hoja de árbol piñata de 6 picos florero sin flores escalera y un árbol
Answer:
Una taza de vidrio tiene líneas verticales de simetría que pasan por la mitad del ancho perpendicular a la base.
Por lo tanto, una copa de vidrio bidimensional tiene una línea de simetría
Un par de anteojos tiene una línea de simetría que pasa por el punto medio del puente y es perpendicular al puente.
Una piñata de 6 puntas tiene tres ejes de simetría que atraviesan los tres pares lineales de piñatas.
Un jarrón bidimensional sin flores tiene líneas de simetría que pasan por el punto medio de la base y son perpendiculares a la base.
Una escalera simple tiene dos líneas de simetría, una que pasa por el punto medio y es perpendicular a la base, la otra es la línea de simetría horizontal que pasa por el punto medio de la longitud de la escalera y es perpendicular a la longitud de la escalera.
Step-by-step explanation:
It takes dariya 35 seconds to download 5 song
Answer:
7 seconds per song?
Step-by-step explanation:
Answer:
I assume you're asking how long it takes to download 1 song, which would be 7 seconds.
Step-by-step explanation:
Rasha and Scott went to a bakery. Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70. Scott
bought 3 chocolate donuts for a total of $2.55.
What is the cost of one plain bagel at the bakery?
Answer:
Step-by-step explanation:
Let b = bagels , d = donuts
Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70
We can write this as :
4b + 2d = 8.70
Scott bought 3 chocolate donuts for $2.55
3d = 2.55
First, let's find out the cost of 1 donut.
To do this, divide 2.55 by 3.
1d = 2.55/3 =0.85 (1 donut costs $0.85)
Substitute the value of d ( d = 0.85 ) into the equation 4b + 2d = 8.70
4b + 2d = 8.70
4b + 2 (0.85) = 8.70
4b + 1.7 = 8.70
Subtract 1.7 from both sides.
4b = 8.70 - 1.7
4b = 7
Divide both sides by 4 to find how much one bagel costs.
b = 7/4 = 1.75
Therefore, one bagel costs $1.75
Find the slope
-5/4
4/5
-4/5
Answer:
The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to answer the question
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]
∴ The slope of the line is [tex]\frac{4}{5}[/tex]
Two lines are parallel. Which of the following statements are true?
Select two answers that apply.
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
Answer:
The lines do not intersect. and The lines have the same slope.
Step-by-step explanation:
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
Here, we have,
given that,
Two lines are parallel.
we have, given options are:
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
now, we know that,
Parallel lines never intersect, and their slopes are equal.
The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.
so, we get,
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
learn more on parallel lines
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What is the value of x?
A)9.4
B)7
C)-9.4
D)-7
Answer:
we need to see the problem
Step-by-step explanation:
try sending a picture
A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information
Answer: A
The number of distinctive prime factors in Column A is 60.
The number of distinctive prime factors in Column B is 30.
This number is 1/2 half more prime factors.
There is 30 more prime factors, so the answer is A.
The quantity in column A is larger than column B.
Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.
Answer:
We Subtract
Her weight on her third birthday = 36.94 pounds
Step-by-step explanation:
Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION
Leslie GAINED 5.54 pounds between her third and fourth birthdays.
This means she added weight
She weighed 42.48 pounds on her Fourth birthday
Hence, Her weight in her third birthday is:
Third birthday + 5.54 pounds = 42.48
$42.48
Third birthday = 42.48 - 5.54
= 36.94 pounds
Her weight on her third birthday = 36.94 pounds.
8) Fill in the chart for each equation.
EQUATION
SLOPE
Y-INTERCEPT I SLOPE
1) y = {x-4
2) y = -9x + 5
Answer:
Equation: y = x - 4
Slope: 1
y-intercept: -4
Equation: y = -9x + 5
Slope: -9
y-intercept: 5
Hope this helps!
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer:
122
Step-by-step explanation:
Simplify the expression.
7/4÷(3/2)
7/4 ÷ (3/2)
=7/4 × (2/3)
=(7×2)/(4×3)
=14/12
=(14÷2)/(12÷2)
=7/6
=1 1/6
plz help me with this ty
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?
Answer:
$4.5
Step-by-step explanation:
I'm gonna do my work on paper.
A cubic meter (m³) is ________. a cubic centimeter (cm³).
a.equal to
b.smaller than
c.larger than
d.diferent form
Answer:
It would be larger than
Step-by-step explanation: hope this helps
Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =
Answer:
test score of new student = 43
Step-by-step explanation:
28 x 72 = 2016 (total points class scored)
29 x 71 = 2059 (total points class scored after student joined)
2059 - 2016 = 43
The test score of the student who joined the class is 43.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
We have to find the test score of the student who joined the class.
28 x 72 = 2016
29 x 71 = 2059 (total points class scored after student joined)
The difference between 2016 and 2059 is the test score of new student.
2059 - 2016 = 43
Hence, the test score of the student who joined the class is 43.
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What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.
Find the equation of the line that passes through the point (7,-8) and is perpendicular to the line y=1/8x-2
Answer:
y=-8x+48
Step-by-step explanation:
Slope is -8 because perpendicular slopes are negative reciprocals
Plug it in:
-8=7(-8)+b
48=b
simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]
What does the x intercept represent?
Answer:
the x intercept is the y and x combined together crossing each other
3x²-75=0 find the square root
Answer:
[tex]x=\pm5[/tex]
Step-by-step explanation:
First, add 75 to each side.
[tex]3x^2-75+75=0+75\\3x^2=75[/tex]
Next, divide each side by 3.
[tex]x^2=25[/tex]
Now, you can take the square root.
[tex]x = \pm\sqrt25}[/tex]
[tex]x=\pm 5[/tex]
Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)
Answer:
y = -⁸/₉(x + 1)² +5Step-by-step explanation:
y = a(x - h)² + k - vertex form of quadratic function with vertex (h, k)
y = a(x - (-1))² + 5 - vertex form of quadratic function with vertex (-1, 5)
y = a(x +1)² + 5
graph goes through (2, -3) so if x=2 then y =-3
-3 = a(2+1)² + 5
-3 -5 = a×3² + 5 - 5
-8 = 9a
a = -⁸/₉
So the equation of the function:
y = -⁸/₉(x + 1)² + 5
The ratio of the number of adults to the number of students at a field trip has to be 3:8. During a current field trip, there are 190 more students on the trip than there are adults. How many students are attending the field trip? How many adults?
Given :
The ratio of the number of adults to the number of students at a field trip has to be 3:8.
During a current field trip, there are 190 more students on the trip than there are adults.
To Find :
How many students are attending the field trip? How many adults?
Solution :
Let, number of adults are x.
So, number of students are x + 190.
We know :
[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]
Number of students are 114 and number of adults are 114+190 = 304.
Hence, this is the required solution.
I'll give brainliest to correct answer
Fill in each blank with a reason that justifies the statement. Given: XY = 36
look at the screenshot
Answer:
[tex]b. \:distributive \: property \: of \: equality \\ c. \: collect \: like \: terms\\ d. \: addition \: property \: of \: equality \\ e. \: division \: property \: of \: equality [/tex]
(5b+6)°
(4b-6)°
answer B=
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10