Answer:
21
Step-by-step explanation:
because on a table, -21 and 21 are lined up together.
HELP HAVING BAD DAY
Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?
===========================================
Work Shown:
t = time it takes to go from Jackie's house to her friends house
distance = rate*time
d = 30*t
This represents the distance they travel if they go 30 mph
Then when going back home, they take 6 minutes longer
6 minutes = 6/60 = 0.1 hours
So they take 0.1 hours longer meaning the t updates to t+0.1
d = r*t
d = 25*(t+0.1)
d = 25t+2.5
This represents the trip back home.
Since the distance d doesn't change, we can equate the two right hand sides and solve for t
30t = 25t+2.5
30t-25t = 2.5
5t = 2.5
t = 2.5/5
t = 0.5 hours = 30 minutes
d = 30t = 30*0.5 = 15 miles
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
How many degrees are in a half of a full turn? another dumb question lol
Answer:
180 degrees is half of a full turn 360 degrees in a full turn
Step-by-step explanation:
y = 4x2 - 5X-10
vertex
Twelve Divided by the sum of a number and five
Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie
Answer:
Vinnie is 12.
Step-by-step explanation:
24 divided by 2 is 12
A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers, but the division is not wholly complete.
For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.
Given that,
Age of Julie = 24 years
Age of Vinnie = 1/2 of 24
The 1/2 fraction of 24 will be
⇒ 24/2 = 12 years.
Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".
For more about fractions,
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Find two numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
27,33
9*3 is 27
11*3 is 33
33-27 is 6
i only have one, sorry!
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
The way I've done it, there isn't a second pair.
I suppose you could do it this way.
9/11 = -27/-33
-27 - - 33 = 6
So the second pair could be
(-27, - 33)
What is the slope of (-3,4) and (0.3)
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
-0.33333
//////Step-by-step explanation:///////
A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
The unit price are:
$0.285 for the 10.5 ounce package
$0.272 for the 29.3 ounce package.
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Step-by-step explanation:
From the question:
A 10.5-ounce package costs $2.99.
The unit price = 1 ounce.
10.5 ounce = $2.99
1 ounce = x
10.5 ounce × x = 1 ounce × $2.99
x = 1 ounce × $2.99/10.5 ounce
x = $0.2847619048
The unit price = $0.2847619048
Approximately = $0.285
A 29.3-ounce package costs $7.98.
The unit price = 1 ounce.
29.3 ounce = $7.98
1 ounce = x
29.3 ounce × x = 1 ounce × $7.98
x = 1 ounce × $7.98/29.3 ounce
x = $0.2723549488
The unit price = $0.2723549488
Approximately = $0.272
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Answer: i did this test
Step-by-step explanation:
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
Suzy went to a department store and brought 3 pairs of shoes. The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair. The third pair of shoes were $5 more than the first pair. She paid with a $100 bill and got $3 in change. How much did each pair of shoes cost?
Answer:
Cost of first pair shoe = a = $23
Cost of second pair shoe = b = $46
Cost of third pair shoe = c = $28
Step-by-step explanation:
Let
Cost of first pair shoe = a
Cost of second pair shoe = b
Cost of third pair shoe = c
The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair.
b = 2a......... Equation 1
The third pair of shoes were $5 more than the first pair.
c = a + 5...... Equation 2
She paid with a $100 bill and got $3 in change.
a + b + c = $100 - $3
a + b + c = 97........... Equation 3
Substitute 2a for b and a + 5 for c in Equation 3
a + 2a + a + 5 = 97
4a = 97 - 5
4a = 92
a = 92/4
a =$23
The cost of the first pair of shoe = $23
b = 2a......... Equation 1
b = 2($23)
b = $46
The cost of the second pair of shoe = $46
c = a + 5...... Equation 2
c = $23 +$5
c = $28
The cost of the third pair of shoe = $28
What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.
In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *
Answer:
Kindly check explanation
Step-by-step explanation:
Given that there were five rummers in the team;
Each runner finished one after the other
Total. Points scored =. 55
Let the positions of each runner be :
1sr runner = p
2nd runner =.p + 1
3rd runner =.p + 2
4th runner =.p + 3
5th runner =.p + 4
(1st + 2nd + 3rd + 4th +. 5th) runner = 55
(p + p + 1 + p + 2 + p + 3 + p + 4) = 55
5p + 10 = 55
5p = 55 - 10
5p = 45
p = 9
Hence,
1st runner = 9th
2nd runner = 9 + 1 = 10th
3rd runner = 9 + 2 = 11th
4th runner = 9 + 3 = 12th
5th runner = 9+ 4 = 13th
Find the value of x
A-6
B- 4
C- 11
D- 5
Answer:
b.11
Step-by-step explanation:
3x+2+70=9x+6
put your like terms on one side:
9x-3x=70+2-6
6x=66
divide both sides by 6
x=11
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
What is the awnser??????? I need help!!!!!!
Answer:
upside down so i might be wrong but the ratio is 3/2
Step-by-step explanation:
3:2 milk to ice cream
other ratios would be
6:4 9:6 12:4 15:5
(the question is slightly confusing but I think this is what they are asking for. )
What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
To learn more on distributive property click:
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A number n minus 3 is at least –5.
Answer:
n-3≥-5
If you need the equation solved...
n-3≥-5
+3 +3
n≥-2
Hope this helped!! Have a great day c:
what is the value for y in the follower expression
When x= 14
Y=2x+5
Answer:9-8Step-by-step explanation:
m² - 9m +8
(Factoring)
show steps
Answer:
I really dont know sorry love <3
Step-by-step explanation:
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answer:hope it helps,
Step-by-step explanation:
Which expression is equivalent to 1/4x+3−1/3x+(−2)?
Answer:
7/12x+5
Step-by-step explanation:
Given the function f(x)=x^2 + 2x-5, find f(-4).
11
O 3
O-29
Answer:
3
Step-by-step explanation:
Plug in -4 as x in the function:
f(x) = x² + 2x - 5
f(-4) = (-4)² + 2(-4) - 5
Simplify:
f(-4) = 16 - 8 - 5
f(-4) = 3
So, f(-4) = 3