Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family
10 miles per hour
15 miles per hour
30 miles per hour
65 miles per hour
Graph is missing, so i have attached it.
Answer:
15 miles per hour
Step-by-step explanation:
We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.
Since we are comparing speed of both families, then we will find the speed here.
Formula for speed is;. Speed = distance/time
d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.
For Theo's family, looking at the image attached;
At a distance of 50 miles, time spent is 1 hr
At a distance of 100 miles, time spent is 2 hrs
At a distance of 150 miles, time spent is 3 hrs
At a distance of 200 miles, time spent is 4 hrs
Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.
They all give a constant value of 50 m/hr.
Thus, speed of Theo's family = 50 mi/hr
Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr
Answer:
15
Step-by-step explanation:
Help me please please
Answer:
Hold a sec I got this
Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?
Answer:
he would get 10$
Step-by-step explanation:
if you divide 500 by 1 you get 5 times that by 2
Help please and thank you
Answer:
1. 22
2. 8
3. 31
4. 20
5. 38
6. 22
7. 26
8. 16
9. 14
10. 28
Step-by-step explanation:
USE PEMDAS
P: Parantheses
E: exponents
D: division
A: addition
S: subtraction
and ywww
In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD?
Answer:
C
Step-by-step explanation:
Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]
Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]
Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]
Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]
Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]
Solve: 106x = 2736
Finally: x ≈ 25.8 ≈ 26
Therefore: C
499 to the nearest hundred
Answer:
the correct answer would be 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
hope this helps
-6p + 4p > 12
( please look at picture instead )
Answer:
the asnwer is p is less than or equal to -6.
Step-by-step explanation:
The reasonfro that is becuase when u have a negative variable you have to divide both sides by a negative, which will flip the symbol making it less than in this case rather than greater than. Hope this works mark as brainliest pls
that what i got but check the sign well
Classify the equation 5 (2x + 3) = 3(3x + 12) as having one solution, no solution, or infinitely many solutions.
Answer: one solution I believe
Step-by-step explanation: I got 21 as my answer and that is one solution
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2
HURRY I GIVE Brainless please hurry you get 100 points!!!Explaining a Rule for Dividing Fractions
Eran the steps you would take to find the quotient of
1/3 divided by 4/3
Answer:
1/4
Step-by-step explanation:
1/3 divided by 4/3. To divide, flip the fraction on the right.
1/3*3/4. Now you can divide both sides by 3.
1/1*1/4. 1x1/4 which is 1/4
1/4.
Hope this helps :D Please mark brainliest
Hello! c: if you need to write and explain your answer use this because its not a sample response i hope you get an A!
To find the quotient you must first, Find the reciprocal of the divisor and multiply the dividend by the divisors reciprocal.
In this case the answer would be 1/4.
Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
5 units
Step-by-step explanation:
±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)
Apply distance formula
This is a topic on coordinate geometry. If you would like to find out more you can give my Instagram page a follow as I'll be updating on this topic soon. In addition, I will be posting other useful materials created by myself at the same platform too!
I need your knowledge.
Answer:
det(2*3) also det(6)
Step-by-step explanation:
this is just filler so I can send it
WILL GIVE BRAINLIEST
Answer:
i am pretty sure it is the one that is already highlighted blue or b
let me know if i am wrong
Step-by-step explanation:
How many monthly payments must Michael make on a $10,000 loan if he pays $4117.92 a month and the add-on interest rate is 10.15%?
Answer:
Im bored wanna talk?
Step-by-step explanation:
the graph shows a proportional relationship between a person's total savings in dollars and the number of weeks they have been saving write an equation that models the savings.
the equation y=__ models the savings
Answer:
54x
Step-by-step explanation:
The equation y = 45 models the saving.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
Given the graph of the equation.
Note that the graph passes through points (0,0) and (2,90).
The slope of the line is:
m = (90 - 0)/(2 - 0)
m = 45
The equation of the line with a slope of m = 45 and passes through (0,0) is:
y -0 = 45(x - 0)
y = 45x
Hence, the equation y = 45 models the saving.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
#SPJ5
If ray earns $120 for 15 hours of work, how much will he earn for 20 hours of work at the same rate
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
Can someone please help me with this?
Answer:
yes
Step-by-step explanation:
The answer is "are" because it adds 3 each time!!! =)
Answer: yes
Step-by-step explanation: the answer is “are” because in the y column you add 3 to each one so it is proportional.
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below
Answer:
The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5
The cost of avocados per box is $6
Step-by-step explanation:
Let us represent the price of Grapefruits per box = g
Strawberries per box = s
Avocados per box = a
Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23
2s + 3a = 23 ....... Equation 1
a = 23 - 2s
London buys three boxes of grapefruit and four boxes of strawberries in Spain $19
3g + 4s = 19 ....... Equation 2
Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51
7g + 5a = 51..... Equation 3
2s + 3a = 23 ....... Equation 1
3g + 4s = 19 ....... Equation 2
7g + 5a = 51..... Equation 3
Substituting 3a = 23 - 2s in Equation 3
a = 23 - 2s/3
7g + 5(23 - 2s/3) = 51
7g +( 115 - 10s/3) = 51
Multiply through by 3
7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3
21g + 115 - 10s = 153
21g -10s = 38 ........ Equation 4
Combining Equation 2 and 4
3g + 4s = 19 ....... Equation 2 × 10
21g -10s = 38 ........ Equation 4 × 4
30 + 40s = 190.. Equation 5
84g - 40s = 152 .... Equation 6
We Add Equation 5 and Equation 6 to eliminate s
114g = 342
g = 342/114
g = $3
To find s, cost 0f straw berries
g = $3
3g + 4s = 19 ....... Equation 2
3(3) + 4s = 19
9 + 4s = 19
4s = 19 -9
4s = 10
s = 10/4
s = $2.5
For find a, the cost of avocados.
7g + 5a = 51..... Equation 3
g = $3
7(3) + 5a = 51
21 + 5a = 51
5a = 51 - 21
5a = 30
a = 30/5
a = $6
g =$ 3, s =$ 2.5 and a = $6.
Therefore:
The cost of grapefruits per box is $3.
The cost of strawberries per box is $2.5 and
The cost of avocados per box is $6
Bananas are on sale at four different grocery stores.  which store offers the lowest unit rate for bananas, in dollars per pound?
Answer:
theres not enough info for someone to explain this :) sorry mate
Step-by-step explanation:
Stuck on this last problem
Answer:
A.
Step-by-step explanation:
Since the associate property is grouping and since the only that groups the number differently is A.
6(1/3 x 7/5) changes to (6 x 1/3) 7/5
Hope this helps :)
(7.5.C) Similarity Problems
Answer:
D
Step-by-step explanation:
You are redecorating your room and the only thing left to paint is your door. You’re only going to paint the side that faces the inside of your room. The door is 6 feet 8 inches tall and 30 inches wide. You need to know the surface area of the side of the door to determine how much paint to buy. The hardware store sells paint by how much covers a square foot. What is the surface area you should report to the hardware store? (Hint: First find the number of square inches in 1 square foot.)
Answer: Then the surface area that you should report to the hardware store is 15 ft^2.
Step-by-step explanation:
Remember that the area of a rectangle of length L and width W is
A = L*W
In this case, we can think in the door as a rectangle, where:
L = 6ft + 8in
W = 30in
Now, we know that in the hardware store they sell paint by how much covers a square foot, then we must calculate the area of the door in square feet.
Then the first step would be to replace all the units by ft.
We know that:
1ft = 12in.
Then we have that:
(1ft/12in) = 1
Then we have that:
8in = 8in*1 = (8in/12in)*1ft = 0.6... ft
(the 3 dots means that the 6 repeats infinitely)
And;
30in = 30in*1 = 30in*(1ft/12in) = 2.5ft
Then the measures of the door are:
L = 6ft + 0.6...ft = 6.6...ft
W = 2.5ft
The area will be:
A = L*W = 6.6...ft*2.5ft = 15 ft^2
Then the surface area that you should report to the hardware store is 15 ft^2.
How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 10 inches long?
Answer:
20.95 inches
Step-by-step explanation:
The complete revolution of the minute hand forms a circle in 60 minutes.
circumference of a circle = 2[tex]\pi[/tex] radius
i.e C = 2[tex]\pi[/tex]r
But from the question, r = length of the minute hand = 10 inches
⇒ C = 2[tex]\pi[/tex] x 10
= 20[tex]\pi[/tex]
C = 20[tex]\pi[/tex] inches
Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.
So that,
the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C
= [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]
= [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]
= 20.9524
= 20.95 inches
Thus, the distance of the tip of the minute hand is 20.95 inches
Rewrite 14/32 in simplest form.
Answer:
7/16
Step-by-step explanation:
Answer:
14/32 = 7/16
Step-by-step explanation:
You divide each number by two
James ran 25/100 of a mile yesterday. His friend, Natasha, ran 4/10 of a mile. Who ran farther and how do you know?
Answer:
James ran faster
Step-by-step explanation:
what is 3 1/2 plzzz help me
Answer:
7/2 or 3.5 whichever you need
Step-by-step explanation:
EASY WORK HELP !! Look at the photo
Answer:
50 yards
Step-by-step explanation:
[tex]\frac{40}{16} = \frac{x}{20} \\ 800 = 16x \\ x = \frac{800}{16} = 50[/tex]
Mindy has 5 blue markers, 3 pink markers, and 4 green markers.
What is the probability she draws a blue marker, puts it on the table, and draws another blue marker?
Answer:
4/12 and 3/12
the simplified version is 1/3 and 1/4
Step-by-step explanation: