Answer:
$7.50
Step-by-step explanation:
the question can be represented with:
12.5/5 and x/3
12.5/5 is 2.5, so that means each bag of dog food is $2.5
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.
Answer:
Step-by-step explanation:
Remark
I take it you mean 5 and not 0.5.
If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.
Formula
Number of bags/Cost = new number of bags/Cost of the new number
Givens
original Number of bags = 5
Cost = 12.50
New number of bags = 3 bags
Cost = x
Solution
5/12.50 = 3/x Cross Multiply
5x = 12.50 * 3 Combine the right
5x = 37.5 Divide by 5
5x/5 = 37.5/5
x = 7.5
Answer: 3 bags cost 7.50 dollars.
X+10 please help
I really need help with inequality’s I will give 100 points for this answer no bull
Answer:
x+10=-3x+38
Step-by-step explanation:
subtract 10 from both sides Subtract the numbers then add 3x on both sides
HELP ME OUT PLS!!!!!
What is the volume of this cone? Use 3.14 for and round your answer to the nearest tenth. In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it. (Note: type out all of your work AND type out your explanation for FULL credit.)
We observe that the
height of the cone is 8 in.
radius of the cone is 2 in.
Volume of a cone = 1/3 π r² h
where R = radius and h = height
Using the formula we get :
Volume = 1/3 π 2 × 2 × 8
= 32 / 3 π cm³
= 33.5 cm³ ( rounded to 10)
Which of the following means greater than or equal to?
A. Aleast
B. Maximum
C. Not greater than
D. At most
Answer:
at least
Step-by-step explanation:
i don't know how to fully explain it, but by saying "atleast x" you're saying the minimum value it can be will be x. Maximum means it will not exceed that number, along with "not greater than" and "at most"
One group (A) contains 765 people. Three-fifths of the people in group A will be selected to win $50 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 716 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
Answer:
There are 1.07 non winners in group A for every 1 non winner in group B
Or: 1.07:1
Or: 7% more non winners in group A
Step-by-step explanation:
Group A:
765*3/5 = 459 non winners
Group B:
716*3/5 = 429 non winners
Final Calculation:
459/429 = 1.07
Betty earned $35000 in the base year of 1992. In 2004, the consumer price index stood at 124.6. Today Betty earns $55000. Find the value of her current salary of $55000 in terms of 1992 dollars.
The value of Betty's earnings of $55,000 in 1992 dolars is $44,141.25.
What is the value of earnings in 1992 dollars?The consumer price index measures the changes in price of a basket of good.
CPI = (cost of basket of goods in current period / cost of basket of goods in base period) x 100
Value of the current earnings in 1992 dollars = $55,000 / 1.246 = $44,141.25
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A ball is dropped from a helicopter 100m from the ground. As the ball falls, the magnitude of it's associated velocity is
As the ball falls, the velocity of the ball increases with increase in distance
Velocity and MotionGiven Data
Distance = 100mIt should be noted that when an object falls, it velocity increases from zero to the maximum just before it hits the ground from the initial point of lunch.
Note: For a projectile the ball might reach a zero velocity at maximum height
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Part 2 of 2 Points: 0 of 1 Save Some states now allow online gambling. As a marketing manager for a casino, you need to determine the percentage of adults in those states who gamble online. How many adult must you survey in order to be 95% confident that your estimate Is In error by no more than two percentage points? Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of adults who gamble online. n = 2401 (Round up to the nearest Integer) b. Assume that 18% of all adults gamble online, n = (Round up to the nearest Integer.)
The sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE= Z{score}\times \frac{s}{\sqrt{n} }[/tex]
Where Z_{score} is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
MOE = 2% = 0.02 and
α = 1-0.95 = 0.05
Let's assume the value of p = 0.5, and q = 0.5
From the table:
Z_(0.05/2) = Z_(0.025) = 1.96
[tex]\rm n = 0.5\times0.5\frac{1.96^2}{0.02^2}[/tex]
n = 2401
For part (b):
p = 18% = 0.18, and q = 0.82
[tex]\rm n = 0.18\times0.82\frac{1.96^2}{0.02^2}[/tex]
n = 1417.5 = 1417
Thus, the sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%
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Good people please help me!!!!
Answer:
a) |sec(θ)|
b) 2cot(2x)
Step-by-step explanation:
Trig identities are used to simplify these expressions. Several are used:
tan(180°-x) = -tan(x)cot(90°-x) = tan(x)1 +tan(x)² = sec(x)²tan(x) = sin(x)/cos(x)sin(2x) = 2sin(x)cos(x)cot(x) = cos(x)/sin(x)__
a.[tex]\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}[/tex]
__
b.[tex]\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}[/tex]
could i have super quick help before i'm out of time?
Answer:
Part (a)
Given quadratic: [tex]y=x^2+2x-8[/tex]
Factored form
To factor, find two numbers that multiply to -8 and sum to 2: 4 and -2
Rewrite the middle term of the quadratic as the sum of these number:
[tex]\implies y=x^2+4x-2x-8[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies y=x(x+4)-2(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies y=(x-2)(x+4)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies (x-2)(x+4)=0[/tex]
[tex]\implies (x-2)=0\implies x=2[/tex]
[tex]\implies (x+4)=0\implies x=-4[/tex]
Therefore, the zeros are 2 and -4
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-4+2}{2}=-1[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]y=(-1)^2+2(-1)-8=-9[/tex]
Therefore, the vertex is (1, -9)
------------------------------------------------------------------------------------------------
Part (b)
Given quadratic: [tex]y=-x^2-9x-14[/tex]
Factored form
To factor, first factor out -1:
[tex]y=-(x^2+9x+14)[/tex]
Now find two numbers that multiply to 14 and sum to 9: 7 and 2
Rewrite the middle term of the quadratic as the sum of these number:
[tex]y=-(x^2+2x+7x+14)[/tex]
Factorize the first two terms and the last two terms separately:
[tex]y=-(x(x+2)+7(x+2))[/tex]
Factor out the common term [tex](x+2)[/tex]:
[tex]y=-(x+7)(x+2)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies -(x+7)(x+2)=0[/tex]
[tex]\implies -(x+7)=0 \implies x=-7[/tex]
[tex]\implies (x+2)=0 \implies x=-2[/tex]
Therefore, the zeros are -7 and -2
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-7+(-2)}{2}=-4.5[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]y=-(-4.5)^2-9(-4.5)-14=6.25[/tex]
Therefore, the vertex is (-4.5, 6.25)
[99 POINTS] A silo is formed by welding a cylinder to a half-sphere. The radius of the dome is 15 feet, and the total height of the silo is 100 feet.
Dropdown 1: a) sphere b) cylinder
Dropdown 2: a) divide by 4, b) divide by 2, c) multiply by 2
Dropdown 3: a) 100, b) 85, c) 70
3. b) 85
How do we calculate the volume of the hemisphere?Convert Input (s) to Base UnitEvaluate FormulaConvert Result to the Output's UnitWhat is the total surface area of a hemisphere?The total surface area of the hemisphere is the sum of this curved surface area or the area of its base. The base of a hemisphere is circle of radius (r) equal as the radius of the sphere
Given,
hemisphere = 15
hight = 100
so, 100 - 15 = 85
a hemisphere is half of the sphere so to get a hemisphere from the sphere you divide by 2. the hight of the hemisphere is 15 feet so subtract that from the total of the 100 and you get 85.
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Answer:
1. sphere
2. divide by 2
3. 85
Step-by-step explanation:
292.9 divided by 29 how do u work that out
Answer:
10.1
Step-by-step explanation:
292.9
29
since there is one decimal place, you'll multiply both e' numerator and denominator by a number with ONE ZERO. i.e- 10. SO: 292.9 × 1029 × 10
2929
290 This is the same as: 2929 / 290 or 2929 ÷ 290
= 10.1
WELL UNDERSTOOD????
please help me find Find AB
Answer:
AB=4
Step-by-step explanation:
[tex]\frac{10+x}{2}[/tex][tex]=7[/tex]
Multiply both sides by 2.
10+x=14
x=14-10
x=4
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4057 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 60.75 feet per second and Plane B is gaining altitude at 40.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
What will their altitude be when there’re at the same altitude?
Answer:
46 seconds6851.5 feetStep-by-step explanation:
The altitude of each plane can be expressed by an equation that adds the initial altitude and the product of time and its rate of climb.
plane A: y = 4057 +60.75t
plane B: y = 5000 +40.25t
__
We want to find the time when their altitudes are the same:
4057 +60.75t = 5000 +40.25t . . . . equate the expressions for y
20.50t = 943 . . . . . . . . . subtract (40.24t +4057)
t = 46 . . . . . . . . . . . . divide by the coefficient of t
At t=46, the altitude of the planes will be ...
y = 5000 +40.25(46) = 5000 +1851.5 = 6851.5
The planes are at the same altitude after 46 seconds.
Both planes will be at an altitude of 6851.5 feet.
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5 hours an 30 minutes
308 miles
D= s x t
= 56 x 5.5
= 308 miles
30 minutes is half an hour (0.5 or 1/2)
Hope this helps!
The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?
A.
The employee earns an additional $100 for every one unit sold.
B.
The employee earns an additional $100 for every ten units sold.
C.
The employee earns an additional $1,000 for every one unit sold.
D.
The employee earns an additional $31,000 for every ten units sold.
Answer:
A
Step-by-step explanation:
From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.
So, the employee earns an additional $1000 for every 10 units sold.
To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:
1000 ÷ 10 = 100
Therefore, the employee earns an additional $100 for every one unit sold.
Proof
This can be proved by calculating the slope (gradient) of the graph:
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line
When picking the two points, remember that the y-values are in thousands of dollars.
Two points on the line:
(0, 30000) and (20, 32000)
Substituting these into the formula:
[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]
Therefore, the employee earns an additional $100 for every one unit sold.
Combined test scores were normally distributed with mean 1493 and standard deviation 342. Find the combined scores that correspond to these percentiles.
a) 20th percentile
b) 75th percentile
c) 80th percentile
a) The combined scores that correspond to 20th percentile is about ___? (Round to the nearest integer as needed.)
b) The combined scores that correspond to 75th percentile is about ___? (Round to the nearest integer as needed.)
c) The combined scores that correspond to 80th percentile is about ___?(Round to the nearest integer as needed.)
The combined scores that correspond to 20th percentile is about 1206.
The combined scores that correspond to 75th percentile is about 1724.
The combined scores that correspond to 80th percentile is about 1780.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given the mean 1493 and standard deviation 342.
a) 20th percentile has a z score of -0.84, hence:
-0.84 = (x - 1493)/342
x = 1206
b) 75th percentile has a z score of 0.675, hence:
0.675 = (x - 1493)/342
x = 1724
c) 80th percentile has a z score of 0.84, hence:
0.84 = (x - 1493)/342
x = 1780
The combined scores that correspond to 20th percentile is about 1206.
The combined scores that correspond to 75th percentile is about 1724.
The combined scores that correspond to 80th percentile is about 1780.
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In 2014, the population of a state was approximately 1,624,000. If the population decrease was about 0.59%, find the population of the state in 2016.
Answer:
1,614,312.
Step-by-step explanation:
0.59% = 0.0059 as a decimal fraction.
Population in 2016 = 1,624,000 - 0.0059 * 1,624,000
= 1614312
Should be an easy graphing question
Answer: if that is easy why don't you do it anyways it's x=2(y−6)
Step-by-step explanation: y=
2
1
x+6
Swap sides so that all variable terms are on the left hand side.
2
1
x+6=y
Subtract 6 from both sides.
2
1
x=y−6
Multiply both sides by 2.
2
1
2
1
x
=
2
1
y−6
Dividing by
2
1
undoes the multiplication by
2
1
.
x=
2
1
y−6
Divide y−6 by
2
1
by multiplying y−6 by the reciprocal of
2
1
.
x=2y−12
SOLVE FOR Y
y=
2
x+12
5. What is the surface area of the figure below?
6
3
3
The surface area of the given figure is 90 feet².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
The given figure is a rectangular prism.
A rectangular prism consists of 4 rectangular lateral faces and 2 rectangular bases.
Surface area of the rectangular prism is the area of each of the faces.
Combining all these area, area of a rectangular prism can be found by the formula,
Area = 2 (lw + wh + lh)
where l is the length, w is the width and h is the height.
Given, l = 3 feet, w = 3 feet and h = 6 feet
Area = 2 [ (3 × 3) + (3 × 6) + (3 × 6)]
= 2 (9 + 18 + 18)
= 90 feet²
Hence the surface area is 90 feet².
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The rectangular floor of a classroom is 32 feet in length and 40 feet in width. A scale drawing of the floor has a length of 8 inches. What is the ares, in square inches,of the floor in the scale drawing
What is the image point of (-3,-5) after the transformation T2,1 o D2?
Victor tossed a paper cup and recorded how the cup landed each time. He organized the results as shown below. Find the experimental probability that the cup will land on its side. Express your answer as a fraction in simplest form.
Right side up- 12 times
Upside down- 7 times
On its side- 21 times
Answer:
28/40
Step-by-step explanation:
12+21+7=40
21 times on its side
21/40 cannot be simplified
Given: AD || BC and AD = BC.
Prove: AB || DC
Answer:
Step-by-step explanation:
When a certain number is divided by 20, the result is same when number is decreased by 361. What is the number?
Answer:
The number is 380
Step-by-step explanation:
Let the number be 'x'
[tex]\sf \dfrac{x}{20}=x-361\\\\\text{multiply the entire equation by 20}\\\\20*\dfrac{x}{20}=20*(x-361)[/tex]
x = 20x - 20*361
x = 20x - 7220
Now subtract '02x' from both sides
x - 20x = -7220
-19x =-7220
Divide both sides by (-19)
x = (-7220) ÷ (-19)
x = 380
I need help! How do you put this into factored form?
y= 6x^2 - 11x - 7
[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]
Check
Find the area of the given triangle.
feet
The base (6) of the triangle is
feet
1
1
The height (h) of the triangle is
25 feet
1
1
The area of the triangle is
square feet
115 feet
10 feet
Dono
Find the number of faces, edges, and vertices of the solid.
The number of faces:
The number of edges:
The number of vertices:
Answer:
102
Step-by-step explanation:
first, count each rectagal,(6) then count each side of the rectangel (17). Lastly do 6x17= 102
(MAYBE WRONG)
help is for today ( this is sets) pls
Of a group of 60 people, 26 speak French and 12 only French; 30 speak English and 8 only English; 28 speak German and 10 only German. It is also known that 1 speaks all 3 languages mentioned. How many speak English and German but not French?
Answer:
57
Step-by-step explanation:
There are 30 English
There are 28 German
There is one that speaks all 3
30 + 28 - 1 = 57
The area of circles
Answer:
Formula for the area of a circle;
A = π[tex]r^{2}[/tex]Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.
Plug in the radius into this formula:-
A = π[tex]r^{2}[/tex]
Note: I will be using 3.14 as pi(π).A = 3.14(4^2)
A = 3.14(16)
A = 50.24 centimetres is the area for this circle.
Two stores sell cherries at different prices per pound.
• Store P sells 3.5 pounds of cherries for $13.30.
• The graph below shows the cost to purchase different weights of cherries at Store Q.
.
Cost (dollars)
0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50
Phillip needs to purchase 10 pounds of cherries. Which statement below is true?
A Phillip will spend $8.00 less on cherries at Store P than at Store Q.
B Phillip will spend $8.00 more on cherries at Store P than at Store Q.
Phillip will spend $6.00 less on cherries at Store P than at Store Q.
Phillip will spend $6.00 more on cherries at Store P than at Store Q.
Answer:
can you post the question but more clear please because I didn't understand