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3 years ago

Name the like terms in the expression 5a + 8 – 3a + 11

Mathematics

1 answer:

klio [65]3 years ago

4 0

2a + 19 if you want to combine them, the like terms are just a and the constants

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

2 years ago

Jasmine purchased 3 bags of hot cheetos and 2 packs of sour patch kids from the vending machine and spent 5.25. Michael also loa

Charra [1.4K]

Answer:

cost of a bag of hot Cheetos = 0.75 and cost of a pack of sour patch kids = 1.5

Step-by-step explanation:

Let the cost of a bag of hot cheetos be c

Let the cost of a pack of sour patch kids be k

Thus, for Jasmine, the equation will be;

3c + 2k = 5.25 - - - - (eq1)

For Michael, the equation will be;

7c + 3k = 9.75 - - - - - (eq2)

We will use method of elimination to solve this.

Multiply (eq 1) by 3 and (eq 2) by 2 to give;

9c + 6k = 15.75 - - (eq4)

14c + 6k = 19.5 - - -(eq5)

Subtract (eq4) from (eq 5) to get;

5c = 19.5 - 15.75

5c = 3.75

c = 3.75/5

c = 0.75

Put 0.75 for c in (eq 4) to get;

9(0.75) + 6k = 15.75

6.75 + 6k = 15.75

6k = 15.75 - 6.75

6k = 9

k = 9/6

k = 1.5

Thus; cost of a bag of hot Cheetos = 0.75 and cost of a pack of sour patch kids = 1.5

7 0

3 years ago

Ben is a tour guide at museum. each tour group can have no more than 7 people/ If Ben give tours to 66 people . How many tours w

Nataly [62]

10 because 7x9 which is the closest you can get to 66 is 7x9 which is 63 and those 3 extra people need a tour too so thats another one

7 0

3 years ago

Read 2 more answers

WILL give BRAINLIEST

Nostrana [21]

Answer:

$560.00

Step-by-step explanation:

Let b represent Tony's average daily balance. The finance charge is computed from ...

... finance charge = 2.25% × b

We can fill in the given value and divide by the coefficient of b.

... $12.60 = 0.0225b

... $12.60/0.0225 = b = $560.00

Tony's average daily balance was $560.00.

3 0

3 years ago

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Contact [7]

Answer:

Step-by-step explanation:

There is a common ratio between consecutive terms

r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = $\frac{3}{2}$

This indicates the sequence is geometric with nth term ( explicit formula )

f(n) = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 16 and r = $\frac{3}{2}$ , then

f(n) = 16 $(\frac{3}{2}) ^{n-1}$ → C

6 0

2 years ago