Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
L is its lengthW is its widthH is its heightThe volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where
r is the radius of its baseh is its height∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones
Item 8 Starting at 1:00 p.M., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach −1°F. An equation is ? =−1. It will take hours to reach −1°F.
Answer:
The answer is "9".
Step-by-step explanation:
Given equation:
[tex]\to 35-4x=-1 \\\\\to 35+1 = 4x\\\\\to 36=4x\\\\\to 4x= 36\\\\\to x=\frac{36}{4}\\\\\to x=9[/tex]
Find the measures of the angles of a triangle in which one angle is 70°& the other two are in the ratio 3:8.
Answer:
30° ; 80°
Step-by-step explanation:
Given that :
One angle of a certain triangle = 70°
The other two angles are in the ratio 3 : 8
Recall :
Sum of angles in a triangle = 180°
Number of angles in a triangle = 3
Hence,
Sum of the other two angles + 70 = 180
Hence, sum of the other two angles = (180 - 70)°
Sum of other two angles = 110°
The angle is in the ratio 3:8
Hence,
(3 / (3 +8)) * 110
= 3/11 * 110
= 330 / 11
= 30°
(8 / (3 +8)) * 110
= 8/11 * 110
= 880 / 11
= 80°
Hence ; 30° ; 80°
3x²-30x+9=0
PLEASE HELP
COMPLETING THE SQUARE WILL MARK BRAINLIEST
Answer:
i have done the cutting of x's exponent
Step-by-step explanation:
= 3x - 30+9 =0
= 3x - 21 =0
= 3x= 21
= x = 21/3
x= 7 this the answer
If someone could please answer this for me it’s 9th grade math 12 points:) asap pleaseee
An airplane cover 94 miles in 1/6 of an hour
Answer:
14.16
Step-by-step explanation:
Do 1/6 of 94 and you get this answer
Find value of P and Q
Answer:
[tex] P= 6 \frac{1}{7}\\\\
Q = 4 \frac{2}{7}[/tex]
Step-by-step Explanation
[tex] \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} } = P+Q\sqrt 2 \\ \\ \frac{(5 + 3 \sqrt{2}) }{(5 - 3 \sqrt{2}) } \times \frac{(5 + 3 \sqrt{2}) }{(5 + 3 \sqrt{2} )} = P+Q\sqrt 2 \\ \\ \frac{ {(5 + 3 \sqrt{2} )}^{2} }{ {(5)}^{2} - (3 \sqrt{2})^{2} } = P+Q\sqrt 2 \\ \\ \frac{ {5}^{2} + {(3 \sqrt{2} )^{2} + 2.5.3 \sqrt{2} } }{25 - 9 \times 2} = P+Q\sqrt 2 \\ \\\frac{ 25 + 18 + 30 \sqrt{2} }{25 - 18} = P+Q\sqrt 2 \\ \\\frac{ 43 + 30 \sqrt{2} }{7} = P+Q\sqrt 2 \\ \\ \frac{43}{7} + \frac{30 }{7} \sqrt{2} = P+Q\sqrt 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ P = \frac{43}{7} \\ \\ \huge \red { \boxed{ P= 6 \frac{1}{7}}} \\ \\ Q = \frac{30}{7} \\ \\ \huge \orange { \boxed{ Q = 4 \frac{2}{7} }}[/tex]
Does anybody know the average individual score for a Mathcounts competition?
Answer:
4.0 hope this helps!!6
Can you please help me with this question?
Answer:
A. 3
Step-by-step explanation:
since it is just reflected the length dosen't change
2(x + 14) = 40
Can you please do all the steps of solving this?
Ex:
8(7+1)3=192
8 x (7+1) x 3
8
8x8=64
64x3=192
total=192
Answer:
6
..........
Step-by-step explanation:
2(x+14)=40
2x+28=40
2x=40-28
2x=12
x=6
Answer:
Step by step in screenshot below. Hope this helps.
Step-by-step explanation:
ldentify the slope of the line y = 4.
Solve each equation.
X – 10 = 4
Math
Answer:
x=14
Step-by-step explanation:
Solving the equation x - 10 = 4, the value of x, which is the solution is calculated as x = 14.
How to Solve an Equation?Solving an equation simply involves determining the value of the variable in the equation, which is the unknown.
For example, we are asked to solve the equation, x - 10 = 4., what it simply means is that we need to determine what the value of x is in the equation that will make it true. Do the following:
x - 10 = 4
x - 10 + 10 = 4+ 10 [addition property of equality]
x = 14
Therefore, the solution of the equation is x = 14.
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PLZ HELP ITS URGENTTTT FIRST TO ANSWER WILL BE BRAINLIEST
3x³y²/9xypower 5
A plane is flying at an elevation of 1000 feet, directly above a straight highway. Two cars on the highway are on different sides of the plane. The angle of depression to one car is 10 degrees and to the other car is 8 degrees. How far apart are the cars, to the nearest foot
Answer:
Step-by-step explanation:
Which two fractions are equal to 2?
A.
11
2
B.
2
4
oc. ? §
D.
2
2
E.
2
Question:
Which two fractions are equal to 2?
A .1/2 B.2/4 C.2/1 D.2/2 E.4/2
Answer:
C.2/1 and E.4/2
Step-by-step explanation:
Required
Determine equivalent of 2
To do this, we simply evaluate each option
A .1/2
[tex]\frac{1}{2} = 0.5[/tex]
B.2/4
[tex]\frac{2}{4} = 0.5[/tex]
C.2/1
[tex]\frac{2}{1} = 2[/tex]
D.2/2
[tex]\frac{2}{2} = 1[/tex]
E.4/2
[tex]\frac{4}{2} = 2[/tex]
From the calculations above:
Options (c) and (e) are equivalent to 2
In a winter storm, the amount of snowfall is directly proportional to the time
it has been snowing. After 4 hours, a total of 7 inches of snow has fallen. Determine how many inches of
snowfall have fallen after 6 hours. Show the work that leads to your answer.
Answer:
10.5 Inches of snow after 6 hours
Step-by-step explanation:
First you would divide
7/4=1.75
Then you would multiply by 6
1.75*6=10.5
10.5 inches of snow would be the total
Hope this helped! :D
The amount of snowfall in 6 hours, if the amount of snowfall is directly proportional to the time, is 10.5 inches.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
Given:
In a winter storm, the amount of snowfall is directly proportional to the time,
After 4 hours, a total of 7 inches of snow had fallen,
Calculate the amount of snowfall in one hour as shown below,
amount of snowfall in one hour = 7 / 4
Calculate the amount of snowfall that occurs in 6 hours,
Amount of snowfall in 6 hours = 7 / 4 × 6
Amount of snowfall in 6 hours = 10.5 inches
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On Monday, Mrs. Smith drove 3.56 miles to go to the grocery store, 5.9 miles to go to the bank, and 12.087 miles to go out to dinner. Round each
number to the nearest mile to estimate the number of miles Mrs. Smith drove on Monday
Answer:
22
Step-by-step explanation:
3.56 = 4
5.9 = 6
12.087 = 12
4+6+12 = 22
Find the volume of figure B
Answer:
volume of Figure B = 75 m³
is 3(5b - 2) and 8b - 5 equivalent
Answer:
No
Step-by-step explanation:
Answer:
I don't think so.
Step-by-step explanation:
3(5b - 2) would be equivalent to 15b - 6
Write an equation in slope-intercept form of the line that passes through (0,-5) and (5,-1)
Answer:
y=4/5x-5
Step-by-step explanation:
to find the slope intercept form (y=mx+b) we must find the slope(m) first. We take the two points given and use the slope formula (y2-y1/x2-x1) take the point (0,-5) as (x1,y1) and the point (5,-1) as (x2,y2).Using the slope formula {-1-(-5)/5-0}. We get the slope equal to 4/5. Now we have y= 4/5x+b.To find b we must choose one point from the given and substitute x and y in the formula we have(y=4/5x+b). I chose (0,-5) so substituting that, (-5=4/5(0)+b), and to finally get b=-5.Now substitute b in the equation y=4/5x+b to get y=4/5x-5.
Ez points
I speak without a mouth and hear without ears. I have no body but come alive with wind. What am I?
Answer:
echo
Step-by-step explanation:
The equation is x+2y=20
Rearrange the equation for y.
Answer:
2y=20-x
y=20-x/2
y=10-x/2
Step-by-step explanation:
which is a mathematical property shown here
8(x+7)
1 commutative property
2 distributive property
3 identity of addition
Solve the expression
(-3) (-2) (3) (4)
and choose the appropriate result.
A) 36
B) –72
C 72
D) -36
Please can I have an explanation, I am terrible at these kinds of questions! Q- A bag contains red, yellow and blue beads. The ratio of red beads to yellow beads is 2:3 The ratio of yellow beads to blue beads is 5:4 Work out what fraction of the beads are red.
Answer:
[tex]Red = \frac{10}{37}[/tex]
Step-by-step explanation:
Given
[tex]Red:Yellow = 2 : 3[/tex]
[tex]Yellow: Blue = 5 : 4[/tex]
Required
Determine the fraction of Red
First, we need to link the given ratios.
Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios
Multiply this ratio by 5
[tex]Red:Yellow = 2 : 3[/tex]
This becomes
[tex]Red:Yellow = 10 :15[/tex]
Similarly, multiply this ratio by 3
[tex]Yellow: Blue = 5 : 4[/tex]
This becomes
[tex]Yellow:Blue =15:12[/tex]
At this point, we have:
[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]
Combine
[tex]Red:Yellow:Blue = 10:15:12[/tex]
The fraction is then calculated as:
[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]
This gives
[tex]Red = \frac{10}{10+15+12}[/tex]
[tex]Red = \frac{10}{37}[/tex]
Help pleasseeee
If f(x)=3x^2-7x find f(-2)
Answer:
f(-2) = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 7x
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2)² - 7(-2)Exponents: f(-2) = 3(4) - 7(-2)Multiply: f(-2) = 12 + 14Add: f(-2) = 26What is 6% sales tax on a $12
pair of mittens?
(show your work)
Answer:
$0.72
Step-by-step explanation:
In order to solve this question we need to know that 1% is one hundredth of something. Another important thing you need to understand is that when we are trying to find n% of y we multiply just need to multiply "y" by [tex](\frac{n}{100} )[/tex]. In our case we have to find 6% of 12, in other word they are asking as the following "What is $12 times [tex](\frac{6}{100} )[/tex]?". So in order to find the answer we do the following..............
[tex]12 (\frac{6}{100} ) = \frac{(12)(6)}{100} = \frac{72}{100} = 0.72[/tex]
I NEED HELP ASAP, ILL MARK BRAINLIEST!!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 2x − 7
y is greater than or equal to negative 1 over 2 times x plus 3
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (3, −7) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
A: The line is a dotted line and the shaded part is on the right side of the line
B: Yes it is correct because if u put in the x value and the y value and calculate it the statement is true.
Find f (-9) with the given function rule of f(x)= x-3
Step-by-step explanation:
We have f(-9) = (-9) - 3 = -12.
Answer:
-12
Step-by-step explanation:
f(9)=-9-3= -12
....
A baseball ticket costs $75, but they are having a
promotional game night and all tickets are 35% off. What is
the new price of the ticket?
Is 74.65 correct
Find the measure of each acute angle.
(3x + 2)∘ = and x∘ =
Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)
Thus:
[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)
Solve for the value of x[tex]x + 3x + 2 + 90 = 180[/tex]
Add like terms[tex]4x + 92 = 180\\\\[/tex]
Subtract 92 from each side[tex]4x = 180 - 92\\\\4x =88[/tex]
Divide both sides by 4x = 22
Measure of one of the acute angles is 22 degrees.
To find the second acute angle measure, substitute the value of x
3x + 2 = 3(22) + 2 = 68 degrees
Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
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