Answer: Arm routine = 11 minutes
Abdominal routine = 22 minutes
Step-by-step explanation:
Let the minutes used for an arm routine be represented by x.
Let the minutes used for an abdominal routine be represented by y.
Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:
2x + 3y = 88
This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:
4x + y = 66
2x + 3y = 88 ...... i
4x + y = 66 ...... ii
Multiply equation I by 4
Multiply equation ii by 2
8x + 12y = 352 ...... iii
8x + 2y = 132 ...... iv
Subtract iv from iii
10y = 220
y = 220 / 10
y = 22
An abdominal routine last for 22 minutes
From equation I
2x + 3y = 88
2x + 3(22) = 88
2x + 66 = 88
2x = 88 - 66
2x = 22
x = 22/2
x = 11 minutes
An arm routine last for 11 minutes
I'm very confused, I don't know where to even start! Please help me!!
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
Help me please, I’ll give brainliest, pls say how u got the answer but quickly
Answer:
A) y = -1/2x + 2
Step-by-step explanation:
The line is negative, so you will have a negative slope
The line is crossing the y- axis at 2 so the y- intercept is 2.
Now do rise over run or rise/run
The lines rise is 2 and the run is 4
2/4 = 1/2 and since the line is negative the slope is negative -1/2
y = -1/2x + 2
Hope this helps ya!!
What is the relationship between two similar quadrilaterals and their areas?
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
find the slope of the given line
Answer:
6/5
Step-by-step explanation:
Answer:
the slope is -6/5
Step-by-step explanation:
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
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Pls I NED HELP ASAP I ONLY HAVE 10 MINUTES
Answer:
20
Step-by-step explanation:
when a letter and a number are next to each other u have to multiply, so x is 5 so 3 x 5 is 15. 15 plus 5 is 20 so 20 is ur answwer
Answer:
20
Step-by-step explanation:
x= 20
3x+5 replace x with 5 than do 3x5=15+5=20
In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: H 0: μ = 9.7 hours H a: μ > 9.7 hours where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: \mu = 9.7 \ hours}[/tex]
[tex]\mathbf{H_1: \mu > 9.7 \ hours}[/tex]
The type 1 error is rejecting [tex]\mathbf{H_o}[/tex] when
The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.
A certain brand of tea costs $7.99 for 16.2 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$
per ounce
Answer:
49 cents per ounce
Step-by-step explanation:
can someone tell me whats 3\4x5\6 is im dum
Answer:
15/24
Step-by-step explanation:
hope this helps u.
Answer:
15/24
Step-by-step explanation:
I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices
$40.00
$62.50
$70.00
$60.00
Answer:
the answer is 60 dollars.
====================================================
Work Shown:
x = original price
20% = 20/100 = 0.20
20% of x = 0.20x = discount
x - 0.20x = 0.80x = final price
0.80x = 50
x = 50/0.80
x = 62.50
The original price of the jeans was $62.50
---------------
Note how,
20% of x = 0.20*x = 0.20*62.50 = 12.50
Tara saves $12.50 (this is the discount).
The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.
Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8
A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_
Answer:
A. -4< n<8 B.-4< n< 8
Step-by-step explanation:
Answer:
D.-4<n<8
Step-by-step explanation:
6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2
Answer:
X= -4
Step-by-step explanation:
Hello. For to solve that, you need to use the sustitution method:
1. You need clear X in the first equation and put in the second
X+Y = -10
X = -10-Y
2. Y = X-2, then you replaced the X in this equation:
Y = (-10-Y) - 2
Y+2=-10-Y
2Y=-10-2
2Y= -12
Y= -12/2
Y=-6
3. Now you use the Y value for to solve X:
X=-10-Y, then
X =- 10-(-6)
X = -4
Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
Jamal discovers that the sum of Point B and Point C is zero. A number line with points A, blank, B, blank, 0, blank, C, D, blank. Which sentence is a correct statement about points B and C? Point B is twice the distance to the left of zero as C is to the right of zero. Point B is the opposite of Point C. Point B has a value of 0 and Point C has a value less than 0. Point B is positive, while Point C is negative.
Answer:
point b is twice the distance
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
100
What is the slope of the line?
f(x)=x^2-4x-12 on (0,6)
the answer is
(x,345)
Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.
Answer:
The scale factor is 1/2
Step-by-step explanation:
I have a different one but it was supposed to be 1/4
In triangle ABC, m angle A = 30° and m angle B = 60°. Matches these in the order from smallest to largest. AB, BC, AC
Answer:
ab, ac, bc
Step-by-step explanation:
a=30, b=60, c=180-(30+60) = 180-90=90
The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?
Answer:
2.275%
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)SD
here, x = 70.5
mean = 65.5
SD = 2.5
Substituting these values;
z = (70.5-65.5)/2.5
= 5/2.5 = 2
So we want to calculate the probability that;
P( z> 2)
We check the standard normal distribution table for this
That will be
0.02275
In percentage, this is 2.275 %
helppp i don’t know the answer
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
Tom reads 42 chapters of a book in 6 hours.
What is his rate in chapters per hour?
I WILL GIVE YOU BRAINLIEST PLEASE HELP!!!! which statement best describes the functions represented in the table?
Answer:
C. Both functions are nonlinear but only function p is exponential.
A migrating bird flies 42 miles in 3 hours. How many miles does it fly in 5 hours?
Answer:
70 miles.
Step-by-step explanation:
In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.
Solution:
Firstly we need to find out what distance will the bird travel in 1 hour. We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get
[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]
Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...
[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]
And we get that the bird will travel 70 miles in 5 hours.
Junior's brother is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction meters tall. Junior is 1\dfrac151 5 1 1, start fraction, 1, divided by, 5, end fraction of his brother's height.
Answer:
1 4/5 meters
Step-by-step explanation:
Juniors brother = 1 1/2 meters tall
Junior is 1 1/5 of his brother height
Junior = 1 1/5 of 1 1/2
= 6/5 × 3/2
= 6 * 3 / 5 * 2
= 18/10
= 1 8/10
= 1 4/5 meters
Junior is 1 4/5 meters tall
Answer:
1 4/5
Step-by-step explanation:
its on khan (: trust me
Question: Tell whether each function is linear or non-linear.
Choices:
A. Function A is non-linear and Function B is non-linear.
B. Function A is linear and Function B is non-linear.
C. Function A is linear and Function B is linear.
D. Function A is non-linear and Function B is linear.
Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.
Answer:
D. Function A is non-linear and Function B is linear.
Step-by-step explanation:
A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.
So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.
Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.
The solution is Option D.
Function A is non-linear and Function B is linear.
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
Let the first equation be A
Let the second equation be B
where
The function A is represented by y = x³
The function B is represented by y = -x + 5
Now ,
We can see that the linear equation A is of the form y = x³ , and this is a cubic relation and it is a non linear graph
The function B is a linear equation of the form y = mx + c , which is the linear equation for a line with slope -1
So , the function B y = -x + 5 is linear
Hence , the Function A is non-linear and Function B is linear.
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what is 11÷132?? anwser please
Answer:
11÷132= 0.0833333333
but i think u wanted this answer
132÷11= 12
Please help me I've been dying for twelve minutes.
1 goes on the first on -1 goes on the second
- 1/125 goes on the last one and -125 the third one
the difference of two numbers is 72 and their quotient is 10 plz help
Answer:
The numbers would be 80 and 8
Step-by-step explanation:
Hope this helps
Answer:
We have, x - y = 72
and, x = 10y
so, 10y - y = 72
y = 8
so, x= 80
Step-by-step explanation:
help asap! Identify the function shown in this graph.
Answer:
A
Step-by-step explanation:
Using the formula y=mx+b we see the b (the y intercept) is at -1. Only answer choice A and B have a y intercept at -1. Now we check which one of those will correspond with the negative slope. A is negative and B is positive --> A is the correct answer choice.