Answer:
Step-by-step explanation:
we will use ratio
magazines : cost
4 : $15
16 : $60
we will multiply 4 by 4 and 15 also by 4 so 16 magazines will cost $60
The cost of 16 magazines is $22.5.
What is multiplication?
Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Isabel bought 4 magazines for a total of $15.
The unit rate of the magazines,
= 15/4 = $3.75.
The cost of 16 magazines,
= 6 x 3.75
= $22.5
Therefore, the cost is $22.5.
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what is the slope in y=_5x+10
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
Bailey caught a total of 12 fish on her fishing trip, and 9 of them were trout. What
percent of the fish were trout?
Answer:
75 %
Step-by-step explanation:
9 out of 12 is 75
David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all
Answer: I believe it is 3.75-
Step-by-step explanation:
David: 3.25
Jenny: 2.25 more than Dan
Dan: 1.75 less than David
3.25
- 1.75
_______
1.50
Dan spent 1.50
1.50
+ 2.25
3.25
_______
$7.00
PLS HELP ME NEED ANSWERS ASAP pls and thank you!!!!
What answers do you need?
Have a nice day
120-75+105 please do it in order
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
120-75=45
45+105=150
120-75+105=150
4n+3< 6n+8 -2n what is n
Answer:
[tex]8>3[/tex]
Step-by-step explanation:
STEP 1: Rewrite so n is on the left side of the inequality.
[tex]6n+8-2n>4n+3[/tex]
STEP 2: Subtract 2 n from 6 n .
[tex]4n+8>4n+3[/tex]
STEP 3: Move all terms containing n to the left side of the inequality.
[tex]8>3[/tex]
Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.
Answer:
1
Step-by-step explanation:
1+1=2
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What it the average rate between o and 20?
HELP ASAP I NEED SOMEONE TO ANSWER LESS THAN 30 MINS!!
Swim team members can race or dive. At the meet, 18 members race. The ratio of racers to divers is 6 : 2. How many members are on the team?
Answer:
3
Step-by-step explanation:
Got it right :P
someone please help :)
He loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.
Complete question :
The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.004.
The loudness of a compactor is 94 dB. Its sound intensity is about 0.0025.
The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.
The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.
Answer:
40
Step-by-step explanation:
Given that:
Sound intensity of jackhammer = 0.004
Sound intensity of compactor = 0.0025
Sound intensity of jackhammer is about 1.6 times the sound intensity of a compactor
Each factor of 10 in intensity corresponds to 10dB
Pile driver with loudness of 112dB ; 112 / 10 = 11.2
Hence, 10^11.2 = 1.58489 * 10^11
Hence, sound intensity (I) in watts per m²
I = 1.58489 * 10^11 * 10^-12
I = 1.58489 * 10-1
I = 0.158489
Comparing the intensity of pile driver and jackhammer :
Intensity of piledriver / Intensity of jackhammer
0.158489 / 0.004
= 39.622
= 40 (nearest ten)
Answer:
40
Step-by-step explanation:
Edge 2020
Which of the following is an arithmetic sequence?
A. 2, 4, 8, 16, ...
B. -8, -6, -4, -2, ...
C. -2, 4, -6, 8, ...
Answer:
B
Step-by-step explanation:
Brainliest please, thanks :)
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor
Answer:
346
Step-by-step explanation:
i think
Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth
Answer:
6.4
Step-by-step explanation:
To find the distance you have to do this formula.
[tex]\sqrt{(x2 -x1)^{2}+(y2-y1)^{2}} \\\sqrt{(-2 -3)^{2} + (8-4)^{2}\\} \\\sqrt{(-5)^{2} + (4)^{2}} \\\sqrt{25 + 16} \\\sqrt{41} \\ \\\sqrt{41} = 6.40312\\6.4[/tex]
6.4 is the answer rounded to the nearest tenth.
Hope this helps!!
HELP ME ?
1. is √11 equal, less, or more than 3.5
2. is √5 equal, less, or more than 2.1
3. is -5.3 equal, less, or more than -5 3/5
4. is 8/10 equal, less, or more than 0.8 repeating
1.[tex]\sqrt{11}[/tex] is less than 3.5
2. [tex]\sqrt{5}[/tex] is more than 2.1
3. -5.3 is more than -5 [tex]\frac{3}{5}[/tex]
4. [tex]\frac{8}{10}[/tex] is less than 0.8 repeating
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)
The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
Step-by-step explanation:
Given information:
[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]
[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]
[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]
[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]
Now,
If ,we take a right circular cone with radius r and height h , its volume
[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]
Now, the radius of cone when the volume of water tank is given
[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]
The ratio of height to radius of the cone :
[tex]\text {h/r} =3[/tex]
[tex]\text r = \text h/3[/tex]
Now calculate :
[tex]dV/dt= dV/dh \times dh/dt[/tex]
Which gives:
[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]
As ,
[tex]27=\frac{1}{27 \times h}[/tex]
[tex]\text h^3=27^2\\\text h= 9\\[/tex]
Now,
[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]
Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
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Select all equations that are true. O A. 9.21 x 1000 = 921 O B. 9. 21 x 10 = 92.1 O. C. 0.921 x 100 = 921 O D. 0.921 x 104 = 9,210 I E. 0.0921 x 102 = 9.21
transformation:rotation,reflection or translation?
90 degree clockwise,90 degrees counter clockwise 180 degrees clock wise 180 degrees or 180 counter clockwise?
followed by a reflection, rotation or translation?
Answer:
Step-by-step explanation:
Counter clockwise 180 degree rotation
Which equation matches the graph? A. y-2=3(x-2) B. y-2=3(x+2) C. y+2=-3(x+2) d. y-2=-3(x-2)
Answer:
There's no graph
Step-by-step explanation:
5) Select the best method to solve the system.
-2x+3y=8
2x+5y=10
*elimination
*substitution
Answer:
elimination
Step-by-step explanation:
Find the area of a triangle whose vertices are located at (-2,5), (-4, -3), and (3,1). Evaluate the determinant using diagonals.
Answer:
The area of the triangle is 48 unit²
Step-by-step explanation:
The given vertices of the triangle are;
(-2, 5), (-4, -3), and (3, 1)
The formula for finding the area of a triangle with given coordinates of the vertices is as follows;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2}\times \left | x_1\cdot y_2 - x_2\cdot y_1 + x_2\cdot y_3 - x_3\cdot y_2 + x_3\cdot y_1 - x_1\cdot y_3\right |[/tex]
Substituting gives;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}-2& 5 & 1\\ -4 & -3 & 1\\ 3 & 1 & 1\end{vmatrix} \\\Delta = \dfrac{1}{2}\times \left | (-2)\times (-3) - ((-4)\times 5) + (-4)\times 1 - 3\times (-3) + 3 \times 5 - (-2)\times 1\right | \\\Delta = \dfrac{1}{2}\times \left | 6 +20 -4 +9 + 15+2\right | = 48[/tex]
The area of the triangle = 48 unit².
For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8
Answer:
C. 7
Step-by-step explanation:
[tex] In\: \triangle ABC\\
\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]
Therefore, by Basic Proportionality theorem:
[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\
\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\
\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?
100
120
240
720
Answer:
120
Step-by-step explanation:
There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
Here, We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Hence, we can use the permutation formula:
P (n, k) = n! / (n - k)!
P (6, 3) = 6! / (6 - 3)!
P (6, 3) = 120
Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
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Help I reward you the Brainlyest
Answer:
(0, -7), (7/5, 0)
Step-by-step explanation:
rearrange your equation to look like y = mx+b where b is the y-intercept
y-3 = 5(x-2) distribute
y-3 = 5x-10 add 3 to both sides
y = 5x -10 +3 combine like terms
y= 5x-7 so
y-intercept is at ( 0, -7)
to find x-intercept make 5x-7=0 and solve for x
5x-7 = 0 add 7 to both sides
5x = 7 divide both sides by 5
x=7/5 or 1.4
x-intercept is (7/5, 0)
Common Factors for
21 and 63
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
What is an example of all data collected on a group
Answer:
Direct Observation
Step-by-step explanation:
Some of the most common qualitative data collection techniques include open-ended surveys and questionnaires, interviews, focus groups, observation, case studies, and so on.
There are many methods used to collect or obtain data for statistical analysis. Three of the most popular methods are: Direct Observation • Experiments, and • Surveys. A survey solicits information from people; e.g. Gallup polls; pre-election polls; marketing surveys.
In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touchdown (after the extra point is worth 7 points. Let x represent the number of field goals scored and y represent the number of touchdowns scored. Write an inequality that models the different number of field goals and touchdowns your team could score to win the game. (Assume the other team doesn't score any more points.)
Answer:
3x + 7y > 21
Step-by-step explanation:
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
Answer:
3x + 7y > 21
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.