Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchmark 1/2. Select the correct answer to describe how to solve the problem.
Answer:
6/7 > 1/2
1/3 < 1/2
Suki rode her bike a longer distance than Clarie
Step-by-step explanation:
Suki's distance = 6/7 miles
Compare with bechmark 1/2
6/7 and 1/2
Make the denominators same
(6*2)/(7*2) and (1*7)/(2*7)
12/14 and 7/14
12/14 is greater than 7/14
12/14 > 7/14
Therefore, 6/7 > 1/2
Clarie distance = 1/3 miles
Compare with bechmark 1/2
1/3 and 1/2
Make the denominators same
(1*2)/(3*2) and (1*3)/(2*3)
2/6 and 3/6
2/6 is less than 3/6
2/6 < 3/6
Therefore,
1/3 < 1/2
Compare Suki's distance with Clarie
compare 6/7 and 1/3
Make the denominators same
(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)
18/21 and 7/21
18/21 > 7/21
Suki rode her bike a longer distance than Clarie
Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a tip of 15% on the total amount of the bill. How much money did the entire bill come to including the tip?
Answer:
About $48.39
Step-by-step explanation:
Sales tax only applies to the bill, not the tip.
Calculate the sales tax:
38.96 × 8%
38.96 × 0.08
3.1168
Round to the nearest cent:
3.12
Add the sales tax to the bill:
38.96 + 3.12
42.08
Calculate the tip based "on the total amount of the bill:"
42.08 × 15%
42.08 × 0.15
6.312
Round to the nearest cent:
6.31
Add the tip to the rest of the bill:
42.08 + 6.31
48.39
Mr. Kurris is 50 years old. In four years, his house will be paid off and his daughter will be finished with collage. He wants to take out a five-year level-term life insurance policy with a face value of $750,000. The monthly premium is $61.
Complete question is;
Mr. Kurris is 50 years old. In 4 years, his house will be paid off and his daughter will be finished with college. He wants to take out a 5-year level-term life insurance policy with a face value $750,000. The monthly premium is $61,
a. What will be his total cost for this policy over the 5-year period?
b. If he dies after paying for the policy for 16 months, how much will the insurance company pay his beneficiaries?
c. If he does not die during the 5 years, how much does the insurance company make on this policy?
d. If he dies after paying for the policy for 13 months, how much will the insurance company lose on this policy?
Answer:
A) $3660
B) $750000
C) $3660
D) $749,207
Step-by-step explanation:
A) Since he wants to take out a five-year level-term life insurance policy, then number of payments for 5 years is;
12 months × 5 = 60 payments.
Since monthly premium is $61, then total cost = 61 × 60 = $3660
B) This is a level-term life insurance policy and so he will be paid the same amount over the entire period of the insurance policy.
Thus If he dies after paying for the policy for 16 months, his beneficiaries will still be paid same $750000
C) if he does not die during the 5 years, the amount the insurance company will make is same as the amount he is due for his premium which is $3660.
D) If he dies after paying for the policy for 13 months, amount that the insurance company will lose is;
>> 750000 - 13(61) = $749,207
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
2,668 ÷ 53 (Im putting this because it has to be 20 characters or more)
Answer:
50.33962264
Step-by-step explanation:
brainlest pls
Answer:
the answer is 50.33
Step-by-step explanation:
someone check out my recent question
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
what is 2 1/2 - 1 4/5 ? please help
Answer:
7/10
Step-by-step explanation:
1. Simplify - 1 3/2 - 1 4/5
2. Subtract the whole numbers to make it easier - 1-1 = 0
3. Combine fractions - 3/2 - 4/5 = 7/10
4. 0 + 7/10 = 7/10
So, the final answer is 7/10.
Hope this helps! :)
Also you should use Symbolab, it's really helpful
This equation is equal to 7/10 or 0.7
The city is planting new trees in its downtown to make the streets more comfortable for visitors.They are planting each tree 12 feet apart.How many trees can they plant on 2 miles of streets? 5280 feet = 1 mile.
4x+2=-13 solve for x
Answer:
Solution given
4x+2=-13
subtract each term by 2
4x+2-2=-13-2
divide both side by 4
4x/4=-15/4
we get
x=-15/4
is a required answer.
Let's solve:
[tex]4x+2=−13[/tex]
Step 1: Subtract 2 from both sides.
[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]
Step 2: Divide both sides by 4.
[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]
Answer:
[tex] \frac{ - 15}{4} [/tex]
Ryan has 10 quarters.
Kelly has exactly seven times as much money as Ryan.
They will combine their money to buy a game.
The game costs $27. How much more money do they need to
save?
Answer:
its b
Step-by-step explanation:
Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.
[tex]y=15x+1[/tex]
[tex]y=15x+2[/tex]
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
First equation :
[tex]y = 15x + 1[/tex][tex]y - 15x - 1 = 0[/tex]Second equation :
[tex]y = 15x + 2[/tex][tex]y - 15x - 2 = 0[/tex]Now, the equations are in the form of
[tex]a_1x {}^{2} + b_1x + c_1 = 0[/tex][tex]a_2x {}^{2} + b_2x + c_2 = 0[/tex]where,
[tex] \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2} [/tex]
therefore the equations would have no solution .
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
please find the vertex to this quadratic
I need help. I don’t understand this problem.
A. Length in the side adjacent to
B. Length in the side opposite to
C. cos(
D. JL/KL
Answer: one, sorry wrong person
Step-by-step explanation:
ok y’all i need to know something.
today is the last day of school and my grades are all a’s and b’s but i have a few projects i didn’t do. will i still pass the school year?
Answer:
you will still pass
Step-by-step explanation:
your grades might drop a little
I don’t understand how to do this . Any help would be appreciated thank you .
(B)
Step-by-step explanation:
Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:
sin 65 = opposite/hypotenuse
= (24 ft)/p
Solving for p,
p = (24 ft)/(sin 65°)
= 26.48 ft
One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups
Answer:
5 cups
Step-by-step explanation:
Let us set it up as a fraction.
[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]
Step 1: Divide the given values
[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]
Step 2: Multiply the result by the other value
[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]
So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.
square root of 7396 by division method
Answer:
the square root of 7396 by long division method is 86
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1
Please explain the steps too. Thank you. :)
Answer:
x =1 and y=-1
Step-by-step explanation:
2x - 3y=-1
x-y=1
there for ok there is a lot of steps i had to do so ill take a pic of it
and the big one is the first one
hey! i’ll give brainliest please help
Answer:
I think it's D
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
They are anxious to get their results
Can someone please help me?
Someone please help me thank you
Answer:
[tex]y=-\frac{1}{3}x+-7[/tex]
Step-by-step explanation:
The graph shows a negative slope with 3 units in between each point.
Every 3 x-units, the y-unit goes up once.
A bag contains 25 red cubes, 15 green cubes, 12 blue cubes, and 8 yellow cubes. The cube is picked at random from the bag. Find each probability as a fraction is lowest terms
Answer:
25/70=red cubes
15/70=green cubes
12/70=blue cubes
8/70=yellow cubes
Step-by-step explanation:
you have to add up all the cubes together and get 70 so you have to see the possibility of getting each cube from the bag.
sorry if you get this wrong
Answer:
Step-by-step explanation: Alright so first add up how many cubes there are in total - 25 + 15 + 12+ 8 = 60. Then, each color cube is its number out of 60. So, for example, for 25 red cubes, it would be 25/60 as a fraction and that’s the probability as a fraction for the red cubes. So:
red = 25/60
green = 15/60
blue = 12/60
yellow = 8/60
then simply the fractions.
25/60 —> 5/12
15/60 —> 1/4
12/60 —> 1/5
8/60 —> 2/15
I hope that helped!
Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m=1 (0,3)
Step-by-step explanation:
m=1
slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1
y-intercept is at (0,3) because is where the line intersects the y-axis
Answer the picture fast and correct
Answer:
8.75
Step-by-step explanation:
( 4×8) +3 = 35/4= 8.75
Answer:
8.75
Step-by-step explanation:
I think sorry that's only i know
12
Which number sentence is true?
A
B.
4y2 + 2 = (4y x 4y) + 2
4y2 + 2 = (4y + y) + 2
4y2 + 2 = 4(y + y) + 2
4y? + 2 = 4(y x y) + 2
с
D
Answer:
D - 4(y x y) + 2
Step-by-step explanation:
(y x y) + y2
4 x y2 = 4y2
which gives you 4y2 + 2
help fr now i am in danger x_x
Answer:
B, it's a reflection over the y-axis
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It's B because all your doing is flipping the image over the y-axis
please help meeee. Pleaseeee
Answer:
in excact terms: 50.26548
to the nearest tenth: 50.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
V = radius^2 x height x π = 4^2 x 1 x π = 16π in^3
16 x 3.14 = 50.26... = 50.3 in^3
3 A circle centered at the origin has a radius
of 7 units. The terminal side of
a 210 degree angle intercepts the circle in
Quadrant III at point C. What are
the coordinates of point C?
Step-by-step explanation:
x = 7 cos 210 = 7×(-½√3) = -3.5√3
y = 7 sin 210 = 7×(-½) = -3.5
point C (-3.5√3 , -3.5)