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xeze [42]
3 years ago
6

Miguel baked 40 cookies with 8 ounces of chocolate chips. How many cookies could he bake with one ounce of chocolate chips ?

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0
8 ounces of chocolate chips can be used to make 40 cookies so
1 ounce of chocolat3 chips can be used to make 40÷8=5 cookies
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Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the dist
seraphim [82]

Answer:

17.32m ; 110°

Step-by-step explanation:

Distance between X and Z

To calculate the distance between X and Z

y^2 = x^2 + z^2 - (2xz)*cosY

x = 20, Z = 10

y^2 = 20^2 + 10^2 - (2*20*10)* cos60°

y^2 = 400 + 100 - (400)* 0.5

y^2 = 500 - 200

y^2 = 300

y = sqrt(300)

y = 17.32m

Bearing of Z from X:

Using cosine rule :

Cos X = (y^2 + z^2 - x^2) / 2yz

Cos X = (300 + 100 - 400) / (2 * 20 '*10)

Cos X = 0 / 400

Cos X = 0

X = cos^-1 (0)

X = 90°

Bearing of Z from X

= 20° + X

= 20° + 90°

= 110°

3 0
3 years ago
Help me solve this please
Anna71 [15]
27+ 2/5×-1/2 = 27 - 1/5
(135 - 1)/5 = 134 /5 <——answer
8 0
3 years ago
The first three steps of completing the square to solve the quadratic equation x² + 4x - 6 = 0, are
slavikrds [6]

Answer:

The next 3 steps are

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

To Find:

x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

8 0
3 years ago
Simplify the expression. -2/3c -9/5 + 14c + 3/10
Andrew [12]

Answer:

13 \frac{1}{3} c - 1 \frac{1}{2}

Step-by-step explanation:

We want to combine alike terms so

-2/3c+14c & -9/5+3/10

14c-2/3

\frac{14}{1} c -  \frac{2}{3} c

Multiply 14/1 by 3/3 to get the denominators the same

\frac{42}{3} c -  \frac{2}{3} c

Subtract

\frac{40}{3} c

simplify

13 \frac{1}{3} c

now

\frac{3}{10}  -  \frac{9}{5}

Multiply 9/5 by 2/2

\frac{3}{10}  -  \frac{ 18}{10}

Subtract

- \frac{15}{10}

Simplify

- 1 \frac{1}{2}

put both together

13 \frac{1}{3}c  - 1 \frac{1}{2}

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

5 0
3 years ago
Read 2 more answers
Mika Jena and 5 friends will help run the event. They will wear either a red shirt or a red baseball cap during the event. They
gogolik [260]
4 people will have to wear caps while 3 other will wear shirts.
4x4 = 16
3x8=24
16+24= 40
7 0
3 years ago
Read 2 more answers
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