Question:
Lisa walks at an average speed of 6 km/h for 15 hours.
Dan completes the same distance in an hour. Calculate Dan's average speed.
Answer:
[tex]Speed = 90km/hr[/tex]
Step-by-step explanation:
Given
Lisa:
[tex]Speed = 6km/hr[/tex]
[tex]Time = 15\ hr[/tex]
First, we calculate the distance covered by Lisa:
[tex]Distance = Speed * Time[/tex]
[tex]Distance = 6km/hr * 15\ hr[/tex]
[tex]Distance = 90km[/tex]
So, Dan distance can be represented as:
[tex]Distance = 90km[/tex] --- Dan completes the same distance as Lisa
[tex]Time = 1\ hr[/tex] -- Time to complete the distance
Dan's average speed is:
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{90km}{1\ hr}[/tex]
[tex]Speed = 90km/hr[/tex]
Hence, Dan's average speed is 90km/hr
1. In a parallelogram ABCD, AD=12cm. if the altitudes corresponding
to sides AB and AD are respectively 8cm and 7cm find AB.
Answer:
10.5 cm
Step-by-step explanation:
area of parallelogram = Bh
12 x 7 = AB x 8
AB = 12x7 / 8 = 21/2 = 10.5
The Molina family went to a concert together. They purchased 4 concert tickets for $25 each, 3T -shirts for $15 each, and a poster for $10.Write an expression for the total cost. Then find the total cost.
Answer:
155
Step-by-step explanation:
( 25 x 4 ) + ( 3 x 15 ) + 10 = 155
The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if x=12?
Answer:
Length = 15
Width = 6
Area = 90
Step-by-step explanation:
Area of the rectangle = [tex] {x}^{2} + 3x - 6x - 18[/tex]
Lets factorise the polynomial
[tex] = > x(x + 3) - 6(x + 3)[/tex]
[tex] = > (x + 3)(x - 6)[/tex]
We know that Area = Length × Width
Let the length be (x + 3) & width be (x - 6)
Its given in the question that x = 12. So putting the value of x gives ,
Length = [tex]x + 3 = 12 + 3 = 15[/tex]
Width = [tex]x - 6 = 12 - 6 = 6[/tex]
Area = Length × Width = 15 × 6 = 90
Please help me. I can't figure it out? Find the slope of a line passing through the following two points. (1 Point) (3, 4) and (-5, 2) O 2 O O
Answer:
1/4
Step-by-step explanation:
The formula is y2-y1 over x2-x1.
(Remember that or another problem like that)
(3, 4) (-5,2)
x1 y1 x2 y2
We would do: 2-4 over -5-3
2-4=-2
-5-3=-8
Your answer would be: -2/-8, which is simplified to 1/4 because when you divide two negative numbers, you get a positive.
help i’m stuck i’ll give brainliest
4) Which formulas can be used to find the area of a parallelogram and a
square? There are two possible answers. Check one.
10 pa
O A = b x h
A = 2L + 2W
A = L + L + W + W
A = bh
Answer:
O A = Bx H and A = L + L + W + W.
Step-by-step explanation:
Write the expression two-cubed times seven as a numerical expression
Answer:
2^3x7
your welcome
Answer:
23× 7
Step-by-step explanation:
have a wonderful day!!! :) :)
Help please asap will mark brainliest!!!
Answer:
it is 6
Step-by-step explanation:
its a reverse diamond
what are plane shapes
Answer: A closed, two-dimensional or flat figure
Step-by-step explanation:
Answer:
Different plane shapes have different attributes, such as the numbers of sides or corners. There are many kinds of plane shapes, but these are the most known squares, rectangles, circles, triangles, and octagons.
Step-by-step explanation:
Help me pleaaase!!!!!!!
Answer: The answer is D.
Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.
Write an equation for a line parallel to Y =-4x-1 and passing through the point (1,-6)
An online store holds a sale. Of the 400 customers who make purchases during the sale, 20 use a coupon. What percent of the customers
do not use a coupon?
Answer:
5%
Step-by-step explanation:
20/400
10/200
5/100
5%
Profit is always calculated as revenue minus expenses. If a company’s expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.
a.
P = 10 minus R; $15 million
b.
P = R minus 10; $15 million
c.
P = R minus 10; $35 million
d.
P = 10 minus R; $35 million
Answer:
b.
P = R minus 10; $15 million
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!
Given:
The graph of an exponential function.
To find:
The function in the form of [tex]f(x)=ab^x[/tex].
Solution:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex] ...(i)
From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.
For x=0 and f(x)=4,
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
For x=1 and f(x)=7,
[tex]7=ab^1[/tex]
Putting a=4, we get
[tex]7=4(b)[/tex]
[tex]\dfrac{7}{4}=b[/tex]
Substitute a=4 and [tex]b=\dfrac{7}{4}[/tex] in (i).
[tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex]
Therefore, the required exponential function is [tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex].
What is the radical form of the expression 4 3/2
[tex]\sqrt{}4^{3}[/tex]
Answer:
The radical form of the expression is, 8
Helppppppppppp me i need the answer
Answer:
Step-by-step explanation:
i think its embryonic
Write equation of a line in point slope form that passes through (3,8) and has a slope of
5?
Answer:
y = 5x - 7
Step-by-step explanation:
(3 , 8) ; slope(m) = 5
Equation of the line: y - y₁ = m( x- x₁)
y - 8 = 5(x - 3)
y -8 = 5x - 5*3
y-8 = 5x - 15
y = 5x - 15 +8
y = 5x - 7
what is the gcf of 8x³ and 6x²
Answer:
The GCF is 2²
Step-by-step explanation:
The factored expression would be 2²(4x+3) .
Dayton writes the expression n2+4n+1 for the number of squares used to make the nth figure in the pattern shown. Drag statements to the table to explain what each term in his expression tells you about the figure. Math item stem image CLEAR CHECK Term What this term tells you about the figure n2 4n 1
well that took alot of guesses...
what's the perimeter of a triangle with sides 2 inches, 3 inches, and 4 inches in length?
Answer:
maybe 9
Step-by-step explanation:
helpppp fasttt What is the area of the shaded region
Answer:
50.2 cm^2
Step-by-step explanation:
Formula for the area of a circle: [tex]\pi r^{2}[/tex]
Radius of bigger circle = 5
Area of big circle = 25 * 3.14 = 78.5
Radius of smaller circle = 3
Area of small circle = 9 * 3.14 = 28.26
Now, we subtract:
78.5 - 28.26 = 50.24 <--- Because we have to round to the nearest tenth, the final answer is 50.2
Answer:
50.2 cm²
Step-by-step explanation:
Find the area of both circles and subtract them.
Choose an equivalent ratio. 5:7
A) 7:9
B) 10:14
C) 14:15
D) 15:23
Answer:
B
Step-by-step explanation:
5:7
5×2 = 10
7×2 = 14
10:14 = 5:7
I NEED THE WORDS AND TERMS TO MATCH THE WORDS ILL GIVE YOU 50 POINTS AND BRAINILEST
Answer:
1 = 5
2 = 8
3 = 1
4 = 3
and
5 = 9
Step-by-step explanation:
does anyone know this please help
Answer:
It is the 3rd graph
Step-by-step explanation:
It is the only one that shows a porpotional relationship.
Answer:
sry mate.....
............
A chemist has a solution of 65% pure acid and another solution of 30% pure acid. How many gallons of each will make 350 gallons of 55% pure acid solution?
Answer:
250 of 65% acid
100 gallons of 30% acid
Really sorry if this is incorrect, I had this question on my Lesson 16 test, and I don't know if it's correct or not...
Following are the calculation to the given question:
Assuming
x=The number of gallons of pure acid [tex](50\%)[/tex]
y = The number of liters of pure acid at [tex](80\%)[/tex] a concentration
[tex]\to x+y = 350[/tex]
The total quantity of gallons of each of the two types of pure acids............(1)
[tex]\to 0.65x+0.30y = 0.55(x+y)[/tex]
the mixture's acidity
[tex]\to 0.65x+0.30y = 0.55(350)\\\\\to 0.65x+0.30y = 192.5 ..........(2)[/tex]
So we have two equations and two variables to work with.
[tex]\to x+y = 350\\\\\to 0.65x+0.30y = 192[/tex]
multiply the first equation by [tex]0.30[/tex]
[tex]\to 0.30x+0.30y = 105\\\\\to 0.65x+0.30y = 192[/tex]
Subtract the second equation from the first
[tex]\to 0.35x = 87\\\\\to x = 248. 57 \approx 248 \ gallons\\\\ \to y = 350-248 = 102\ gallons\\\\[/tex]
As a result, we'll need 248 gallons of 65% pure acid and 102 gallons of 30% pure acid.
Learn more:
brainly.com/question/16352400
Factor 64x2 – 80xy + 25y2 using the binomial theorem.
The binomial that was expanded is .
The exponent on the factored expression is .
Answer:
Step-by-step explanation:
What is the product of Four-sevenths and One-fifth?
Five-twelfths
StartFraction 7 over 20 EndFraction
StartFraction 4 over 35 EndFraction
Four-twelfths
Answer:
one fifth
Step-by-step explanation:
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Answer:
4/35
Step-by-step explanation:
4 * 1 = 4
7 * 5 = 35
What happened to the U.S. dollar when President Nixon closed the gold
window?
PLEASE HELP I NEED THIS TO COMPLETE MY CLASS
can someone please answer these and explain how you did it
2x - 7 = 11
7x + 1 = 22
3x - 8 = 22
8x +5 = 45
2x-7 = 11
7 goes to the other side
2x=11+7
2x = 18
x=18/2
x=9
7x + 1 = 22
1 goes to the other side
7x=22 - 1
7x=21
x=3
3x - 8 = 22
8 goes to the other side
3x = 22+8
3x=30
x=10
8x+5 = 45
5 goes to the other side
8x=40
x=40/8
x=5