Question :
justinapace7446
Yesterday
Mathematics
High School
+5 pts
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.0%
6.0%
Answer:
1-year: $2200, 2-year: $3200, 3-year: $6600
Step-by-step explanation:
Assume y = Amount invested for 1 year.
y + 1000 = investment amount for 2 years
12000 - (y + y + 1000 ) = amount invested for 3 years
11000 - 2y = amount invested for 3 years
Total interest
Multiplying each by its corresponding rate
(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600
0.02y + 0.05y + 50 + 660 - 0.12y = 600
-0.05y + 710 = 600
-0.05y = 600 - 710
-0.05y = - 110
y = 2200
Therefore first year = y = $2200
Investment for 2 years =y + 1000 = 2200 + 1000 = $3200
Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600
The two triangles below are similar. What is the similarity ratio of AABC to ADEF? (5 points)
2:1
1:2
2:5
5:2
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
(-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT
Answer: No
Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.
In the relation shown here, notice that
the x-coordinate 2 appears twice.
In one case, 2 corresponds to -4 and in
the other case, 2 corresponds to -4.
Since the x-coordinate 2 corresponds to more than one
y-coordinate, no, this relation is not a function.
Help me im just too lazy to figure it out :)
Answer:
m=-16
Step-by-step explanation:
To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-35=m-19
19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.
-35+19=m-19+19
-35+19=m
-16=m
Let's check our solution. Plug -16 back in for m in the original equation.
-35=m-19
-35=-16-19
-35=-35
Both sides of the equation are the same, so we know that m is equal to -16.
Mrs Baker is preparing her students for their exams. The exams are two weeks away. Mrs Baker advises her students to spend 25% of each day revising.
A) How many hours does Mrs Baker expect her students to revise each day?
B)) How many hours in total will the students have revised if they follow Mrs Bakers advise for the next two weeks?
Answer:
A. 4 hours
Step-by-step explanation:
100 divided by 25
The members of a basketball team need to
raise $895 for new uniforms. They already
have $351 from food sales. To raise the
remainder, they are planning a shoot-out
challenge. If 34 teams sign up, how much
must they charge per team to meet their
goal?
Answer:
$16
Step-by-step explanation:
First subtract $351 from $895 to find the dollar amount we're considering.
($895 - $351 = $544)
Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged. ($544 / 34 = $16)
3.268 rounded to the whole number
Answer:
Brainliest goes to me!
Step-by-step explanation:
3
3.268
lets only look at 3.2 .......
3.2 is rounded down to 3
Answer:
3.268 rounds to 3
Step-by-step explanation:
Numbers less than 5 round downNumbers that are 5 or higher round upRounding to the whole number would be rounding to the One's Place2 is less than 5, so it rounds down to 3Please mark Brainliest
Math question do not guess
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
WILL GIVE BRAINLIEST ANSWER. Angle BCD is a circumscribed angle of circle A. Circle A is shown. Line segments B A and D A are radii. Tangents B C and D C intersect at point C outside of the circle. A line is drawn to connect points A and C. The length of A B is 8 and the length of B C is 6. Angle C A D is 37 degrees. What is the length of line segment AC? 10 units 12 units 14 units 16 units
Answer:
Length of AC segment=10 units
Step-by-step explanation:
We are given that AB and DA are radius of circle.
BC and DC are tangents of circle which intersect at point C.
AB=8 units
BC=6 units
Angle CAD=37 degree
We know that radius is always perpendicular to the tangent.
Therefore, AB is perpendicular to BC.
Using Pythagoras theorem
[tex](Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]
[tex]AC^2=AB^2+BC^2[/tex]
[tex]AC^2=8^2+6^2=100[/tex]
[tex]AC=\sqrt{100}=10 units[/tex]
Answer:
a.) 10 units
Step-by-step explanation:
correct on edg.
What is the inverse of g(x) =
X +8
Answer:
The inverse is x-8
Step-by-step explanation:
g(x) = x+8
y = x+8
To find the inverse, exchange x and y
x = y+8
Solve for y
Subtract 8 from each side
x-8 = y+8-8
x-8 = y
The inverse is x-8
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
a. The data are skewed left, so most student's practice times are more than the mean practice time.
b. The data are skewed left, so most student's practice times are less than the mean practice time.
c. The data are skewed right, so most student's practice times are less than the mean practice time.
d. The data are skewed right, so most student's practice times are more than the mean practice time.
Answer:
The correct option is a.
The data are skewed left, so most student's practice times are more than the mean practice time.
Step-by-step explanation:
Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.
When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.
The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.
Due to this, most student's practice times are more than the mean practice time.
A left skewed distribution is also known as negatively skewed distribution.
Therefore, we can conclude that the correct option is a.
a. The data are skewed left, so most student's practice times are more than the mean practice time.
hlp me hlp me hlp me hlp me
The unit rate would be points per game.
To find the points per game, divide both numbers by 6:
288/6 = 48
the unit rate would be 48 points / 1 game.
The answer is the first choice.
Answer:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex] or the 1st option
Step-by-step explanation:
[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex]
We get this answer because to find the unit rate, we need to get however many points over one game.
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?
Answer:
D = (13, - 23 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 15 )
To go in the reverse direction, that is image to original, then, reverse the operations in the translation rule.
(x , y ) → (x + 4, y - 15 ) , thus
D'(9, - 8 ) → D(9 + 4, - 8 - 15 ) → D(13, - 23 )
Answer:
(13,-23)
Step-by-step explanation:
DID IT ON EDGE 2020
NEED HELP SOON! What is the value of x? x + StartFraction 4 Over 9 EndFraction = three-fourths StartFraction 11 Over 36 EndFraction One-third 1 and StartFraction 11 Over 16 EndFraction 1 and StartFraction 7 Over 16 EndFraction
Answer:
x=11/36
Step-by-step explanation:
1. Move the 4/9 to the right side to isolate valu e"x."
2. Create a common denominator between "4/9" and "3/4"
3. Your equation should look like this;
x=3/4-4/9
x=27/36-16/36
x=11/36
Answer:
11/36
Step-by-step explanation:
all work is in the image below!
Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)
Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Answer:
Theta= 0.32 rad
or Theta= 1.25 rad
Step-by-step explanation:
On the Aleks explanation
HELP QUICKLY Christina and Youssef work in office buildings that are 80 feet away from each other. From the top of her office building, Christina notices that the angle of elevation to the top of Youssef’s building is 45°. The angle of depression from Christina to the base of Youssef’s building is 56°. Find the height of Youssef’s office building, rounded to the nearest tenth of a foot.
Answer:
About 198.6 feet
Step-by-step explanation:
This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.
Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:
[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]
Now, let's do it for the upper part, which we'll call y:
[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]
Adding these together, you get a height of approximately 198.6 feet. Hope this helps!
Answer:
answer is 198.6
Step-by-step explanation:
Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms
Answer:
(n - 1)/2
Step-by-step explanation:
F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)
= (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)
(there are n terms of 1)
= n - (1 + 2 + 3 + ... + n)/n
= n - [n x (n + 1)/2]/n
= n - [n x (n + 1)]/[2 x n]
= n - (n+1)/2
= (2n - n - 1)/2
= (n - 1)/2
Hope this helps!
What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5
Answer:
a = -5
Step-by-step explanation:
negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.
- (5 - (a + 1)) = 9 - (5 - (2a - 3))
using the principle of PEMDAS, all the parenthesis values are first solved
- (5 - a - 1) = 9 - (5 - 2a + 3)
-5 + a + 1 = 9 - 5 + 2a - 3
collect like terms
-5 + 1 - 9 + 5 + 3 = 2a - a
-5 = a Therefore,
a = -5
Answer:
-5
Step-by-step explanation:
A right rectangular prism has a length of 2 and 1/2 ft a width of 3ft and a height of 1 and 1/2. Unit cubes with side lenghts of 1/2 ft are added to completely fill the prism with no space remaining. What is the volume in cubic feet of the rectangular prism?
Description:
Formula: length * width * height (L*W*H)
volume of larger prism
vp=45/4 ft^3 =11.25
vs=1/2*1/2*1/2
vs=0.125 ft^3
n=vp/vs
n= 11.25/.125
n=90
Answer: 90 smaller cubes will completely fill in the prism
Please mark brainliest
Hope this helps.
Can someone explain how to do this?
Answer:
118,900,000,000,000 (1.189 × 10^14)
Step-by-step explanation:
First, assume that a cell is roughly a sphere with radius 10−³cm (. Let's compute the volume of the cell from the relation between radius and volume:
The volume V of a sphere with radius r is
V=(4π)/3 r³
where r³ and V have the same units. The volume of a cell with radius 10−³cm is therefore
V=4π³/3(10−³)3≈4.1888×10−⁹ cm³.
Next, we use the fact that the density of a cell is approximately the density of water which is 1g/cm³. Let's compute the mass of a cell from its volume and density using the definition of density:
density = mass/volume
which is equivalent to
mass = density×volume.
The mass of a cell is therefore
1 (g)/cm³×4.1888×10−⁹cm³ ≈ 4.1888×10−⁹g.
Now you know the mass of a cell, what other piece of information do you need to work out the number of cells in your body? Your mass in grams (if you know your weight in pounds, you can convert: 1 lb≈453.6 grams).
Number of cells=Your Mass/Mass of Cell
For example, the mass of a 175 lb is about 45,360 grams. We have that
79378g/4.1888×10−⁹g≈11.89 × 10^14
so there are approximately 1×10¹⁴=118,900,000,000,000 (1.189 × 10^14) cells in the human body!
Which image shows -1 7/8 on a number line? A. B. C. D.
Answer:
The number line is attached below.
Step-by-step explanation:
The number to be plotted on the number line is:
[tex]x=-1\frac{7}{8}[/tex]
The value of x lies between -2 and 0.
Draw a number line from -2 to 0 with intervals at every one-eight value.
Mark the point at [tex]x=-1\frac{7}{8}[/tex].
The number line is attached below.
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Answer:
The vertex form of the equation is [tex]y = -\frac{1}{3}( x-1)^{2} +1[/tex].
Step-by-step explanation:
You will use the equation [tex]y=a(x-h)^{2} +k[/tex] to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get [tex]y= a(x - 1)^{2} +1[/tex].
Then, we substitute the point as our x and y to get [tex]-2 = 9a+1[/tex] (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the [tex]9a[/tex] to get [tex]9a = 3[/tex]. Finally, divide by 9 on both sides to get [tex]a=\frac{1}{3}[/tex].
Now, substitute your [tex]a[/tex] back into the equation to get y = [tex]-\frac{1}{3}(x-1)^{2}+1[/tex].
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get [tex]y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}[/tex].
The graph shows the function f(x) = lx - h| + k. What is the
value of h?
Answer:h=f(X)-x-k
Step-by-step explanation:
F(x)=x+ h+k
h = F(x)-x -k
Answer:
-1.5
Step-by-step explanation:
|6-27| how the answer this question
Answer:
First notice that they’re asking for the absolute value of the equation.
The absolute value is how far that number is from 0.
Basically it’s the number without a negative sign.
ok so 6-27 = -21
The product for 6-27 (21) is 21 spaces away from 0.
|6-27| = 21
21 is the answer to your question.
Hope this helped and pls mark me brainliest if it did :)
PLEASE HELP WILL MARK BRAINLIEST
Answer:
$15.70
Step-by-step explanation:
The total Cost is 101.40
The tax is 7.20 Subtract the tax
=====================
The cost of 6 CDs=94.20
1 CD costs 94.2 / 6
1 CD costs 15.70
what should be added in the polynomial x3-6x2+11x+8 so that it is completely divisible by 1-3x +x2
Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.
Can someone please answer my question: What is 72% of 54?
Answer:
38.88
Step-by-step explanation:
72% of 54
= [tex]\frac{72}{100}[/tex] × 54
= 0.72 × 54
= 38.88
Answer:
38.88
Step-by-step explanation:
so if you work it out like me then you break it down
100% = 54
10% = 5.4
1% = 0.54
you would take the 10% (5.4) and times it by 7 to get 70% (37.8) now you would take 1% (0.54) and times that by 2 and then add the 70% and the 1% times 2 together and you should get 38.88
What is the measure of angle BCD? WILL GIVE BRAINLIEST!
Answer:
m∠BCD = 120°
Step-by-step explanation:
Since the interior angles of a quadrilateral add up to 360°, then we get:
2x+x+2x+x=360°
6x=360°
Divide both sides by 6
x=60°
Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.
what is the ratio of 2 hours and 115 minutes