The whole distance travelled by the dog is 630 inches.
We shall now approach the question in the following steps;
First, we shall convert the length of the fence to inches using the conversion factor as shown in the question.
12 inches = 1 foot
x inches = 5 feet
x = 12 inches × 5 feet /1 foot
x = 60 inches
The total length of the fence is 60 inches + 3 inches = 63 inches
The dog ran round it ten times hence the total distance travelled = 10 * 63 inches = 630 inches
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5. Michel wants to buy his mother handmade chocolates for Mother’s Day. He has $15.00 to spend. The price of each type of chocolate is given below.
Fudge centres: $0.60 Nut clusters: $0.75 Truffles: $0.80
Michel has $15.00. How many of each type of chocolate can he buy if buys only one type? Show your work. *Hint: create an equation for each type*
Fudge centres: Nut clusters: Truffles:
Michel decides to buy all three types of chocolates, instead of choosing just one type. If Michel buys the same number of all three types, how many can he buy and stay within his budget? Show your work
Answer:
25 fudge centres, 20 nut clusters, 18 truffles, 6 of each type of chocolate
Step-by-step explanation:
Michel has a total of $15.00
So, if he only has to buy one type, we just divide the total amount by the price, like this:
[tex]\frac{15.00}{0.60}[/tex] = 25 fudge centres
[tex]\frac{15.00}{0.75}[/tex] = 20 nut clusters
[tex]\frac{15.00}{0.80}[/tex] = 18.75, so we round down = 18 truffles
If he buys the same of number of each type, we know that:
0.60x + 0.75x + 0.80x ≤ $15.00
2.15x ≤ 15.00
x ≤ 6.977...
This means that Michel can only buy 6 of each type of chocolate.
Answer:
If he buys only one type, he can buy 25 fudge centers OR 20 nut clusters OR 18 truffles.
The equations you can write to solve those are:
0.6f = 15
0.75n = 15
0.8t = 15
If he buys an equal number of each then
0.6f + 0.75n + 0.8t = 15
and
f = n = t
He can buy 6 of each without going over his budget.
4y-6 = 2y +8
I need helppp
Answer:
4y - 6 =2y + 8
4y - 2y = 8 + 6
2y = 14
y = 14 / 2
y = 7
Ms. F arrived at the Wizarding World of Harry potter at 9:12 am. It took her 1 hour and 16 minutes to get there from leaving her house. What time did she leave her house?
Answer:
She left her house at 7:56 am
Step-by-step explanation:
A basketball backboard set that sold for $79 is discounted 15% what is this sale price
Answer: $67.15
Step-by-step explanation:
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry I
Answer:
4/8.1 is the answer.
Step-by-step explanation:
sin Θ = opposite side / hypotenuse
sin ∠F = 4/8.1
Answer: 4/8.1
Step-by-step explanation:
SOH CAH TOA
So son uses opposite and hypotenuse
Opposite from the angle of DFE is 4 and hypotenuse is 8.1 so
sin-1(4/8.1)= angle DFE
Please help me with this.. its the last question and I dont get it. its just number 12 please help
Answer:
Lawrence was incorrect.
Step-by-step explanation:
Amy: 2(3x) +2(4x + 3)
= 14x + 6 ✓
Kaye: 3x + 3x + 4x + 3 + 4x + 3
= 14x + 6 ✓
Lawrence: 4(3x) + 2(4x)
= 20x Ø
Sufjan: 6 + 3x + 3x + 4x + 4x
14x + 6 ✓
11 sheets of A4 size paper weights 341 grams. Find the number of such sheets in a weight for 2 kg 666 grams of such paper?
A bag contains 10 colored marbles - 4 red, 4 blue and 2 green. Calculate the probability of removing 2 green marbles in a row if you do not replace the marble each time.
Answer:
I think it would be a 20 percent
Step-by-step explanation:
because the 4 red is 40% the blue is another 40% then the green is only 20 I could be wrong though hope this helped
4 2/5 + k = −3 2/11
What is k?
Answer:
Step-by-step explanation:
4⅖ = 22/5 = 242/55
-3 2/11 = -35/11 = -175/55
k = -175/55 - 242/55 = -417/55 = -7 32/55
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The area of a circle is 30.85cm2. Find the length of the radius rounded to 2 DP
Answer: 3.13
Step-by-step explanation:
Pennsylvania has a sales tax of 6%. The city of Philadelphia adds an extra local sales tax of 2%. Both taxes apply to the original price of an item. If the shelf price of a bottle of sports drink is $2 in Philadelphia, PA, which expressions can be used to show the total taxes you would expect to pay?
Answer:
For the regular tax in Pennsylvania, it would be 12 cents or $0.12. For Philadelphia, it would be 4 cents or $0.04. I got these two amounts by multiplying 2 times 6 or 2 percent, aka 0.06 and 0.02. If you added the two together, you would get, $0.16 or 16 cents. You would then add that to the two dollars and end up with $2.16 or two dollars and sixteen cents. I hope this helps.
Step-by-step explanation:
Can someone help this is due today
Answer:
24
Step-by-step explanation:
[tex] {ba}^{2} = {bc}^{2} - {ac}^{2} \\ {ba}^{2} = {10 }^{2} - {8}^{2} \\ ba = \sqrt{100 - 64} \\ ba = \sqrt{36 } \\ ba = 6[/tex]
Area of triangle = 1/2 × AC × BA
= 1/2 × 8 × 6
= 48/2
= 24 in²
#CMIIWPlss Help this is worth 40 points
Answer:
if the cubes represent 1 unit then:
y-intercept=
blue line: 1
red line: 4
green line: 7
slope=
blue line: 1/5
red line: 5/3
green line: 5/6
Step-by-step explanation:
i hope this helps :)
Intrigue and drama are standard features of her writing, her next book should keep readers on edge.
Answer:
The complete sentence is:
Walnuts stay fresh longer in the refrigerator or freezer.
Step-by-step explanation:
A complete sentence is a sentence that displays a complete idea. It comprises of a subject and a predicate that includes verb too.
From the given two sentences, the complete sentence is the second sentence. 'Walnuts' is the subject and 'stay fresh longer in the refrigerator or freezer' is the predicate. A complete idea about the freshness of the walnuts have been stated in the sentence. On the other hand, the first sentence is a run-on sentence. In such a sentence, two sentences are merged together. This is done by adding the punctuation mark or coordinating conjunction to merge the sentences.
Answer:
Run-on sentence
Step-by-step explanation:
Pls don’t send a link
What is the distance between these two points: (1, 2) and (9, 8)?
Dab = square root of ( xa - xb )^2 + (ya - yb)^2
square root of (1 -9 )^2 + (2 - 8)^2
square root of (-8)^2 + (-6)^2
square root of 64 + 36
square root of 100
10 units
find the area of the isosceles triangle below
Answer:
37
Step-by-step explanation:
Brian buys 32 bottles of soy sauce, in total he has 4/800 ml of soy sauce. How much soy sauce would he have if he bought 23 bottles of soy sauce?
Answer:
23/6400 ml or 0.003594 ml
Step-by-step explanation:
Steps to determining the answer
Determine the quantity of soy sauce in one bottle by dividing 4/800 by 32The answer gotten in the above step is multiplied by 23 to determine the total amount of soy sauce in 23 bottlesSoy sauce in one bottle = total soy sauce in one bottle / total number of bottles
4/800 ÷ 32 =
4/800 x 1/32 = 1 / 6400
soy sauce in 23 bottles
1/6400 x 23 = 23/6400 ml or 0.003594 ml
Simply the expression 6x + 1 - ( 3x -1 )
Answer:
3x+2
Step-by-step explanation:
distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2
The table shows the inputs and outputs for the function f(x) = -7x – 5.
Input
-10
Output
65
-5
?
-5
o
5
-40
When the input is –5, the output is
Answer:
30
Step-by-step explanation:
-7 times-5 minus 5=30
The missing value in the output is 30.
What is a Function ?A law that relates two variables is called Function.
The function given in the question is
f(x)= -7x - 5
For the input missing in the table
f(x)= - 7 *(-5) -5
f(x)= 30
Therefore the missing value in the output is 30.
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PLsssssssssss help giving top commnent and possibalby brainlyest
Answer:
b
Step-by-step explanation:
Mr. Warren is making cookies. He needs 1 pint of white sugar and 1 cup of brown sugar. How many cups of sugar does Mr. Warren need to bake cookies
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Given that ℓ1 ∥ ℓ2 and the measure of ∠c = 36°, find the measures of angles a and b.
m∠a =
°
m∠b =
°
HELP ! How long is segment AB ?
Answer:
square root of (2+10)²+(-5+3)²
square root of 144+4
square root of 148
plz hury
According to the frequency chart below, how many people have a dog or fish as their favorite pet?
A. 35
B. 22
C. 18
D. 13
Answer:C
Step-by-step explanation:
Dog=12
Fish=6
12+6=18
3) Simplify:
[tex] {12x}^{2} - 27 \\ 4 - (2x + 1)[/tex]
Answer:
4+ [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Answer:
[tex]3(4x^2-9)[/tex]
Step-by-step explanation:
First, we can start by factoring [tex]12x^2-27[/tex] so that we get:
[tex]3(4x^2-9)[/tex]
Second Question:
Answer:
Step-by-step explanation:
We can get rid of the parentheses by multiplying the minus inside:
[tex]4-(2x+1)=4-2x-1 \text{ Now, we see that -1+4=3, and that we have:}\\3+2x \text{ as our final answer }[/tex]
If a triangle has A as 4 and B as 13, but C, the hypotenuse, is missing, what is C? I already got to square root of 185 but i don't understand what to do because you can't simplify it, please show your work/explain it
Answer:
C = √185 or 13.6 units.
and cannot be simplified any further because it is irrational.
Step-by-step explanation:
Since the triangle has sides A = 4 units and B = 13 units. With C as its hypotenuse side, from Pythagoras' theorem C² = A² + B².
So, substituting A and B into the equation, we have
C² = 4² + 13²
C² = 16 + 169
C² = 185
taking square root of both sides, we have
√C² = √185
C = √185
C cannot be simplified any further because it is irrational. It is best expressed as √185 which is a surd. C could also be expressed as a decimal. So using your calculator and taking √185, C = √185 = 13.605 ≅ 13.6 units.
Find the answer To Y
Answer:
I think the answer is y=5x-15
or
y=2x-6
Please Help!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
Answer:
Step-by-step explanation:
n=2p
p+5n=110, using n found above makes this become
p+5(2p)=110
p+10p=110
11p=110
p=10, since n=2p
n=2(10)
n=20
So there are 10 pennies and 20 nickels.