Answer: A. x + y = 75 B. She spends 25 minutes running and 50 minutes dancing every day. C. Yes it is.
Step-by-step explanation: B. She spends 25 minutes running and 50 minutes dancing every day, because if she dances for 25 more minutes then she runs then we can minus 25 from 75 which we get 50. Then we take the 50 a divide it by 2 because of the two categories dancing and running. So we know she spends 25 minutes running then 25 minutes dancing but we need to add the 25 minutes to dancing. So she spends 25 minutes running and 50 dancing. C. Yes it is because she already dances for 50 minutes a day so all she needs to do is workout for 10 minutes less so 65 minutes one day.
A system of linear equation consists of multiple linear equations
The system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]She spends 25 minutes runningIt is possible to dance 45 minutes every day(a) A pair of linear equations
She dances and runs for 75 minutes.
So:
[tex]\mathbf{x + y = 75}[/tex]
She dances 25 minutes more than she runs.
So:
[tex]\mathbf{y = 25 + x}[/tex]
So, the system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]
(b) The time she spends running every day
Substitute 25 + x for y in [tex]\mathbf{x + y = 75}[/tex]
[tex]\mathbf{x + 25 + x = 75}[/tex]
Subtract 25 from both sides
[tex]\mathbf{2x = 50}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 25}[/tex]
Hence, she spends 25 minutes running
(c) Is it possible to dance 45 minutes each day
We have:
[tex]\mathbf{y = 25 + x}[/tex]
So:
[tex]\mathbf{y = 25 + 45}[/tex]
[tex]\mathbf{y = 70}[/tex]
This means that, she has to spend less minute running and dancing.
Read more about system of equations at:
https://brainly.com/question/12895249
I WILL DO ANYTHING YOU NAME IT BUT PLz SOLVE THIS
Answer: AD = 9cm
Step-by-step explanation: This is a 30-60-90 triangle, so the hypotenuse is equal to twice the length of the short side of the right angle.
BC is the short side of the large triangle, so AB, the hypotenuse of the large triangle is 2×6, 12 cm
BC is also the hypotenuse of the small triangle, ΔBCD, so it is twice the length of BD, to that makes BD = 6/2= 3
Subtract BD from AB.
That's 12 - 3 = 9 the length of AD
Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?"
Answer:
My age is 13
My brother's age is x+3= 13+3 = 16
My sister's age is x-2=13-2=11
My mother's age is 3(x+3)-1=3(13+3)-1=47
If the random variable, X, has a Poisson distribution with a mean of 4 events per minute, the mean number of events per hour is:__________.
Answer:
240 events
Step-by-step explanation:
Given that:
Mean = 4 events per minute
The mean number of events per hour :
Number of Events per minute * (number of minutes per hour)
Number of minutes per hour = 60
Hence, mean number of events per hour :
4 * 60 = 240
Allison’s cupcake and cookie budget for her party is $105. She would like to have at least 40 cupcakes and cookies combined, and would like to have at most 5 more cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and cookies (b) that she should buy? ( a ≥ 0 , b ≥ 0 )
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
what is a cube game called
this is my last joke question because i don't wanna get banned first to answer correct wins and gets brainiest
two ratios that are equivalent to 5:2
Answer:
10:4
45:18
20:8
Step-by-step explanation:
please i need this answer asap
Answer:
C is the correct answer
Find the total cost to the nearest $115 tablet, 35% markup
Answer:
40.25 I guess
Step-by-step explanation:
Answer:
Step-by-step explanation:
$155.25
Find the slope of each line. Write in simplest form.
Answer:
Slope = -2
Step-by-step explanation:
The line is going down so it is a negative slope
The width of a rectangle is 11 inches less than its length. Find the dimensions of the rectangle if the area is 80 squares inches. Then find the perimeter of the garden.
Answer:
8r1000000
Step-by-step explanation:
Answer:
Dimensions = 16 inches & 5 inches
Perimeter = 42 inches
Step-by-step explanation:
X x (X + 11) = 80
X = 16
Dimensions = 16 & 5
Perimeter = 16 x 2 + 5 x 2 =
32 + 10 =
42 inches
Hope that helps!
Hope that helps!
can anyone help. me pass
Why do most Canadians live near its southern United States border?
Answer:
Step-by-step explanation:
Fill in the table using this function rule.
y = 10x-3
X
-
0
Answer:
Step-by-step explanation:
y = 10(- 1) - 3 = - 13
y = 10(0) - 3 = - 3
y = 10(1) - 3 = 7
y = 10(5) - 3 = 47
juan adds 3.8+4.7 and gets a sum of 84 .Is his answer correct.tell how you know
Answer:
His answer was wrong the answer should be 8.5 .
Step-by-step explanation:
3.8+4.7=8.5
Which function is the inverse of f(x) = 2x + 3 ?
Answer:
89
Step-by-step explanation:
the function is the reverse so reverse the problem
I don't know what point it is
Look at image shown simplify expression and write answer without negative exponents please
Answer:
The expression without a negative exponent will be:
[tex]\frac{8x^{-4}y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{13}}[/tex]
Step-by-step explanation:
Given the function
[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}[/tex]
[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}=-\frac{8x^{-4}y^{-8}}{2xy^5}\\[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4[/tex]
[tex]=-\frac{4x^{-4}y^{-8}}{xy^5}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]
[tex]=-\frac{4y^{-8}}{x^5y^5}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]
i.e. [tex]\frac{y^{-8}}{y^5}=\frac{1}{y^{5-\left(-8\right)}}[/tex]
so the expression becomes
[tex]\frac{8x^{-4}\:y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{5-\left(-8\right)}}[/tex]
[tex]=-\frac{4}{x^5y^{13}}[/tex]
Therefore, the expression without a negative exponent will be:
[tex]\frac{8x^{-4}y^{-8}}{-2xy^5}=-\frac{4}{x^5y^{13}}[/tex]
Help I don’t get this
Answer:
0.04 gallons in one mile
Step-by-step explanation:
Basically, you lose 2 in 50 miles. So in order to figure out how many you lose in one mile, you would take 2/50, which would give you 0.04.
HELP! A box is 70 cm long. Which of these is closest to the length of this box in feet? (1 inch = 2.54 cm)
Answer:
Step-by-step explanation:
2.54 cm are equivalent to 1 inch;
70cm will be equivalent to?
=27.559 inches
12 inches is equivalent to 1 foot
27.559 is equivalent to?
= 2.29
=2.30 feet
the 6th term of a GP is 2000. Find its first term if it's common ratio is 10
so ar^ = 2000 and you told me r = 10
a(10^5) = 2000
a = 2000/100000 = 1/50
the 6th term of a GP is 2000 is 0.02 then the first term of GP is 0.02
What is a GP(Geometric Progression)?A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.
Geometric Progression (GP) is a type of sequence in which each succeeding term is produced by multiplying the previous term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.
Therefore,
The general form of a GP is a, ar, ar², ar³,...., arⁿ where a is the first term and r is the common ratio.
Given r=10
6th term of a GP = 2000
We know that nth term of a GP = [tex]ar^{n-1}[/tex]
[tex]ar^5[/tex] = 2000
a × ([tex]10^5[/tex]) = 2000
a = 2000/100000
a = 1/50 = 0.02
Therefore, the first term of GP is 0.02
To learn more about Geometric Progression refer:
https://brainly.com/question/24643676
#SPJ2
Mrs. Thompson purchased 4 notebooks at $2.95 each and 4 pens at $1.50 each. How much did she spend in all?
Answer:
Step-by-step explanation:
Multiply the quantity by the price.
4 notebooks x $2.95 each=???
4 pens x $1.50 each=???
Answer:
$17.80
Step-by-step explanation:
Enter an algebraic expression for the word expression.
twice a number x, minus 20
The expression is
Answer: 2/3 times 4
Step-by-step explanation:
two hundred twenty-one plus ninety
Answer:
311
Step-by-step explanation:
221 + 90 = 311
Answer:
311
Step-by-step explanation:
u coud of google that
Mr. Francis bought a pair of shoes on sale for 40% off. The regular price was $55, not including tax. How much did Mr. Francis pay for the shoes, not including tax?
A. $77
B. $22
C. $15
D. $33
Answer:
33
Step-by-step explanation:
333333333333333333333
F(x)=-10x-3 ; compressed horizontally by a factor of 5/8
Answer:
yes?
Step-by-step explanation:
Shade the model to show the decimal 0.674 with 100 blocks. Please help!!
Answer:
0.674 means that it 674/1000
Step-by-step explanation:
which mean that if the model consist of 1000 squares, you have to shade 674 of the squares.
If the model consist of 100 squares, you have to shade 337 of the squares ( you get the number after dividing both 674 and 1000 with 2)
Krystal is comparing two Internet service plans. Plan 1 costs $34.99 per month. Plan 2 costs $134.97 every 3 months. If Krystal plans to stay with one service for 1 year, which should she choose? How much will she save?
mark as brainlist pls, answer:
She should choose plan 1 because it is cheaper even in the long run.
plan 1: 34.99 x 12 = 419.88
plan 2: 134.97 x 4 = 539.88
-
419.88 < 539.88
Answer:
Work shown below!
Step-by-step explanation:
1 year = 12 months
Plan 1 = $34.99 per month
Plan 2 = $134.97 per 3 months
Plan 1: $34.99(12) = $419.88
Plan 2: $134.97(4) = $539.88
She would save $120 if she chooses Plan 1
Manu’s weight is 68kg .Then what is his weight in gram?
Answer:
68,000
Step-by-step explanation:
hope that this helps
Write an equation in Standard Form. A store sells t-shirts for $12 each and
sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
Answer:
12x + 15y = 120
Step-by-step explanation:
x= t shirts
y= sweatshirts
x+y=total
12x + 15y = 120
(I got this question on a quiz and I got it right!)
I hope this helps!
The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The price for t-shirts = $12 each
The price for the sweatshirt = $15 each
Let's suppose x number of t-shirts and y number of sweatshirts bought.
Then,
12x + 15y = 120
The equation represents the total number of t-shirts and sweatshirts bought if spend $120
Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
The equivalent fraction using the multiplier 2 5/8
Answer:
21/8
Step-by-step explanation:
The equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).
To find the equivalent fraction using the multiplier 2 5/8, we need to multiply the original fraction by 2 5/8.
Let's assume the original fraction is "a/b".
The equivalent fraction will be:
Equivalent Fraction = (2 5/8) * (a/b)
To simplify this, we first need to convert 2 5/8 to an improper fraction.
To do that, multiply the whole number (2) by the denominator (8) and add the numerator (5) to get the new numerator.
The denominator remains the same:
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Now, the equivalent fraction becomes:
Equivalent Fraction = (21/8) * (a/b)
To find the final equivalent fraction, we can simply multiply the numerators together and the denominators together:
Equivalent Fraction = (21 * a) / (8 * b)
So, the equivalent fraction using the multiplier 2 5/8 is (21a) / (8b).
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ4
