Answer:
y = 40x
Step-by-step explanation:
Given - Alex walks from her home to the bus stop at a rate of 40 steps per minute.
To find - Write a rule they gives her from home in steps as a function of time after she leaves her home.
Proof -
The function will be a linear function.
The linear function is in the format of y(x) = mx + c
Let x be the total minutes
y be the total steps
So, the rule becomes
y(x) = 40x + 0
⇒y = 40x
As she walks 40 steps in 1 minutes
So, rate of change will be 40 and constant term will be 0.
please help asap, thanks !
Answer:
A) P = DA/V
Step-by-step explanation:
D = PV/A
DA = PV
DA/V = P
Help plz for this math question!!
Answer:
[tex]3x - 3 \leqslant 2 \times (x + 1) + x \geqslant 0 = [/tex]
Step-by-step explanation:
[tex]3x - 3 \leqslant (2 \times x) - (2 \times 1) + x \geqslant 0[/tex]
A coin is tossed and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube shows an even number?
Answer:
2:6
Step-by-step explanation:
ℎ ℎ ℎ ℎ ℎ 2
6
What is 1- (58%+3%) expressed in percent form
Answer:
39/100 or 39%
Step-by-step explanation:
1−(58/100+3/1000)
=39/100.
39%
what will be number of zeros in the cube of 100?
pls explain
Answer:
There would be 6 zeros because it would become 1,000,000
Step-by-step explanation:
cube is the power of 3
100³ = 100×100×100
=1, 000, 000
A man discovered he had only $5 bills and $1 bills. The number of $1 bills was 4 more than 3 times the number of $5 bills. He had a total of $36. How many of each kind of bill did he have?
The man had 4 $5 bills and 16 $1 bills.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let x be the number of $5 bills and y be the number of $1 bills.
From the problem, we know that:
y = 3x + 4 (since the number of $1 bills was 4 more than 3 times the number of $5 bills)
The total amount of money the man had is $36, so we can write:
5x + 1y = 36
Substituting the first equation into the second equation, we get:
5x + 1(3x + 4) = 36
Simplifying and solving for x, we get:
5x + 3x + 4 = 36
8x = 32
x = 4
So the man had 4 $5 bills.
Using the first equation, we can find the number of $1 bills:
y = 3x + 4 = 3(4) + 4 = 16
Therefore,
The man had 4 $5 bills and 16 $1 bills.
Learn more about expressions here:
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What angle is adjacent to
Answer:
PSM and N S L are adjacent toaPSL
The length of Rectangle A is 20 inches and the width is 4 inches. The length of Rectangle B is
40 inches. Find the width of Rectangle B if the rectangles are similar.
Answer:
8 inches
Step-by-step explanation:
Let w be the width of rectangle B.
Since, both rectangles are similar.
Therefore, corresponding lengths and widths of rectangles A and B will be in proportion.
[tex] \therefore \frac{20}{40} = \frac{4}{w} \\ \\ \frac{1}{2} = \frac{4}{w} \\ \\ w = 2 \times 4 \\ \\ w = 8 \: inches[/tex]
Answer:
8"
Step-by-step explanation:
Lᵃ/Wᵃ = Lᵇ/Wᵇ
20"/4" = 40"/Wᵇ
Wᵇ = (4"×40")/20"
Wᵇ = 160" ÷ 20"
Wᵇ = 8"
Width of rectangle B = 8 inches
______________
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- kexcvi -
After 32 years from now a boy will be 5 times as old as he was 8 years back.How old is the boy now?
Answer:
18 years
Step-by-step explanation:
Transforming the question in form of equation:
Let x be the current age.
x + 32 = 5(x-8)
x + 32 = 5x - 40
5x - x = 40 + 32
4x = 72
x = 18
Answer: look at this! He’s 18
Step-by-step explanation:
equation = x+32=5(x-8)
X+32=5x-40
5x-x=32+40
4x=72
X=72/4
=18
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 258 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
43 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
42 rounds per hour
Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b
Answer:
a + 2b
Step-by-step explanation:
Given the expression
2(a+2b) - a-2b
Open the bracket
2a+(2)2b- a-2b
2a+4b - a-2b
Collect the like terms
2a-a+4b-2b
a + 2b
Hence the equivalent expression is a + 2b
Answer:
d
Step-by-step explanation:
Donna is putting money into a savings account. She starts with $450 in the savings account, and each week she adds $70.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Donna has been adding money. Write
an equation relating to W. Then use this equation to find the total amount of money in the savings account after 14 weeks.
Answer:
1430
Step-by-step explanation:
S=450+70T
S= 450 + 70(14)
S=450+980
S=1430
Hillside middle school chorus is giving a concert in the cafeteria
6. Which trig function would you use to solve for h? *
sine
cosine
tangent
Answer:
tan
Step-by-step explanation:
you can use this equation
[tex]tan(18) = \frac{h}{100} [/tex]
to solve for h
Answer:
Tangent
Step-by-step explanation:
Tangent=opposite/adjacent
For the angle that's 18°, it's opposite side is h, and the side that is next to, or adjacent to it is 100. It's not the other side because that's hypotenuse.
When you plug those in, you'll have:
[tex]tan(18)=\frac{h}{100}[/tex]
Solve for h by multiplying both sides by 100 to get:
[tex]100*tan(18)=h[/tex]
Put [tex]tan(18)[/tex] into calculator to get .324919. When you do so, make sure you're in degrees, not radians.
Since we are multiplying that by 100, the final answer is 32.4919
Monica has this recipe for fruit salad. 2 1/2 cups of pers, 2/3 cups of grapes, 1 1/4 cups of apples, and 1/2 of orange slices. How many cups for fruit is it in total?
Answer:
[tex]3\frac{11}{12}[/tex] cups
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] of pears
[tex]\frac{2}{3}[/tex] of grapes
[tex]\frac{1}{4}[/tex] of apples
[tex]\frac{1}{2}[/tex] of orange
when adding fractions, make sure all denominators are the same:
[tex]\frac{5}{2} = \frac{30}{12}[/tex] of pears
[tex]\frac{2}{3} = \frac{8}{12}[/tex] of grapes
[tex]\frac{1}{4} = \frac{3}{12}[/tex] of apples
[tex]\frac{1}{2} = \frac{6}{12}[/tex] of orange
add all of the fractions:
[tex]\frac{30}{12} + \frac{8}{12} + \frac{3}{12} + \frac{6}{12} = \frac{47}{12}[/tex]
convert to mixed fraction:
[tex]\frac{47}{12} = 3\frac{11}{12}[/tex]
Look at the other guys
I need help with a couple questions for math. thanks :)
Answer:
i dont know
Step-by-step explanation:
please help me i suck at math
37000 + 37000\(0.09)
is the answer.
Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.
a
spending $42 to buy 6 sandwiches
b
spending $42 to buy 7 sandwiches
c
spending $108 to buy 18 sandwiches
d
spending $40 to buy 5 sandwiches
e
spending $96 to buy 16 sandwiche
Answer:
B, C, and E
Step-by-step explanation:
A. 42/6 = 7 Not correct
B. 42/7 = 6 Correct
C. 108/18 = 6 Correct
D. 40/5 = 8 Not correct
E. 96/16 = 6 Correct
what is the answer???
Answer:
a. Rectangle
Step-by-step explanation:
The given figure is a rectangle prism. If one takes the cross-section of a rectangular prism, one will get a rectangle.
(0, 2) (3, 8)
write an equation in slope intercept form
24xy-xy^3+x^2 find the degree plz
Answer:
4
Step-by-step explanation:
24xy---> 2
-xy3--->4
x2--->2
Can someone help me solve this triangle please?
cos 45° cos 30° + sin 45° sin 30°
Answer: hi hope this helps
Step-by-step explanation:
The guest at a party shared five pies equally in each person get 1/8 of a pie how many guest were at the party?
Answer: 40 people
Step-by-step explanation:
There were 5 pies in the party and each person that came got an equal share of 1/8.
The number of people who were there is therefore:
= Number of pies / Share each person got
= 5 ÷ 1/8
= 5 * 8/1
= 40 people
what is the probability of getting an even number when a dice is rolled?
Answer:
1/2
Step-by-step explanation:
you could get 2 or 4 or 6
A plant is already 15.00 meters tall, and it will grow 20 centimeters every month. The plant's helght, H (in meters), after x months is given by the following.
H = 15.00 +0.20x
What is the plant's height after 40 months?
Lin’s father is paying for a $20 meal.
He has a 15%-off coupon for the meal.
After the discount, a 7% sales tax is applied.
What is the total amount Lin’s father pay for the meal?
Explain or show your reasoning.
What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.
Answer: pi/2
Step-by-step explanation:
HELPPP
A. 9
B. 20
C. 16
D. 4
Answer:
C 16
Step-by-step explanation:
Using ratios
3:12
12/3=4
4:x
4*4=16
x=16
4:16
hope this helps:)
John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?
Answer:
John was 17 miles away from where he started.
Step-by-step explanation:
The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.
Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].
So to solve this, work backwards:
[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]
The distance between the initial and final point will be 17 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
This can be expressed as
H² = P² + B²
John drove his car due east for 8 miles.
He then turned south and drove 15 miles.
Then the distance between the initial and final point will be
H² = 8² + 15²
H² = 64 + 225
H² = 289
H = 17 miles
More about the Pythagoras theorem link is given below.
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