1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anni [7]
3 years ago
6

4/7 of the birthday cake was eaten on your birthday. the next day your dad ate 1/2 of what was left. you get to finish the cake,

how much is left?
Mathematics
1 answer:
luda_lava [24]3 years ago
6 0
During the birthday 4/7 of the cake was eaten so it remained 1-4/7=3/7
the next day 1/2 of 3/7 was eaten what remained is 3/7 divide by 1/2
to divide we invert the second fraction (1/2) and multiply 3/7
3/7 x 2/1=6/7
You might be interested in
Use the alternative form of the dot product to find u · v.
vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta

\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150

\overrightarrow{u}.\overrightarrow{v}= -1169.13

(b) \overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}

\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}

\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}

\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}

Let the angle between them is θ

The formula in terms of the dot product is given by

Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}

u=\sqrt{0.5^{2}+0.866^{2}}=1

v=\sqrt{-0.707^{2}+0.707^{2}}=1

Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}

Cos\theta=0.2587

θ = 75°

(c) \overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}

u=\sqrt{1^{2}+4^{2}+8^{2}}=9

Cos\alpha =\frac{1}{9}

Cos\beta =\frac{4}{9}

Cos\gamma  =\frac{8}{9}

7 0
3 years ago
Help plzzzzzzzzzzzzzzzzz
aleksklad [387]

Answer:99°

Step-by-step explanation:

180-123=57

x=57+42

x=99°

7 0
3 years ago
Read 2 more answers
Cancel help me with these two problems
Alex_Xolod [135]
4. To solve this problem, we must simply subtract the volume of the smaller box from the volume of the larger box. The formula for volume of a rectangular prism is length * width * height. So we know that the bigger box has a height of 20 inches, a length of 15 inches, and a height of 9 inches. We can multiply these together to get the volume.

20 * 15 = 300

300 * 9 = 2700

The bigger box has a volume of 2,700 cubic inches.

Now for the smaller box. This box has a length of 12 inches, a width of 8 inches, and a height of 4 inches. Let us multiply this together:

12 * 8 = 96

96 * 4 = 384

The smaller box has a volume of 384 cubic inches.

Now, we just need to subtract.

2700 - 384 = 2316

There are 2,316 cubic inches of space left in Jeff's bigger box.

5. Mrs. Nelson has plans for a flower box that has two constant side lengths, the length and height (5 feet and 2 feet). The width can be any whole number (counting number) only up to 5 feet, so there are 5 different volumes she could have. Those are:

5 * 2 * 1 = 10 cubic feet

5 * 2 * 2 = 20 cubic feet

5 * 2 * 3 = 30 cubic feet

5 * 2 * 4 = 40 cubic feet

and

5 * 2 * 5 = 50 cubic feet

The possible volumes for Mrs. Nelson's flower box are 10, 20, 30, 40, and 50 cubic feet.

So there you have it!
Hope that helped! =)
3 0
3 years ago
(08.02 MC)
allsm [11]

Answer:

Complete y = Mx + b

Step-by-step explanation:

6 0
3 years ago
Montrose Elementary School purchase three two backpacks for $17 each what is the responsible estimate to for the total of the co
Harman [31]
I don't understand three or two book bags but if it's 2 bookbags then 8.50 if it's 3 bookbags then 5.66 each
3 0
3 years ago
Other questions:
  • Which number can be inserted in the parentheses so the numbers are ordered from least to greatest?
    11·2 answers
  • Is the given sequence arithmetic? If so, identify the common difference. 3.2, 3.5, 3.8, 4.1, . . .
    7·2 answers
  • How to solve this equation?
    10·2 answers
  • The client drank 6 ounces of orange juice and 4 ounces of coffee for breakfast, 8 ounces of tea and 6 ounces of ginger ale for l
    14·1 answer
  • How do you finish graphing your line?
    14·1 answer
  • Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a qu
    13·2 answers
  • Plzz help with this question!!!
    10·2 answers
  • Which represents the solution for the inequality 3x- 7 &gt; 5?<br>​
    14·1 answer
  • ABC ≃DEF. Find the lengths of the given sides
    7·1 answer
  • Solve the system using elimination? <br> 2x+3y=8<br> 5x+6y=17
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!