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3 years ago

NEED HELP ASAP, PLEASE

Mathematics

2 answers:

kozerog [31]3 years ago

6 0

Answer:

Step-by-step explanation:

8x and 7x + 3 are vertically opposite angles.

Vertically opposite angles are equal,

8x = 7x + 3

8x - 7x = 3

x = 3

ch4aika [34]3 years ago

5 0

Answer:

DCE=156°

Step-by-step explanation:

8x=7x+3

8x-7x=3

x=3

BCD+DCE=180

8x+DCE=180

24+DCE=180

DCE=180-24

DCE=156°

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What is an irrational number

postnew [5]

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios of integers.

4 0

3 years ago

Read 2 more answers

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

Solution:

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

Also, given that they made $ 156

Therefore, we frame a equation as:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

$a \times 2+b \times 3 = 156$

2a + 3b = 156 ---------- eqn 2

Substitute eqn 1 into eqn 2

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

Substitute b = 28 in eqn 1

a = 8 + 28

Thus the shop sold 36 sundaes and 28 banana spilts

4 0

4 years ago

a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con

tankabanditka [31]

Answer:

273 mL of 5%
117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

0.15q + 0.05(390 -q) = 0.08(390)

0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

Additional comment

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

7 0

3 years ago

Write the limit definition of a function of x

ollegr [7]

Answer:

the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

Step-by-step explanation:

7 0

3 years ago

Can someone help please!<3

elena-s [515]

The equation that works for this is
y=1/7x + 0! It is parallel and goes through (0,0)
Hope this helps :)

8 0

3 years ago