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3 years ago

Solve for a. ab +c=d a=b+c/d O a = b/(C-d) O a = (d - c)/b

Mathematics

2 answers:

natima [27]3 years ago

7 0

Answer:

Step-by-step explanation:

ab +c=d

SUBTRACT c FROM BOTH SIDES.

ab + c (-c) = d - c

ab + 0 = d - c

ab = d-c

Divide both sides by b.

ab/b = (d-c)/b

a = (d-c)/b (FIRST EQUATION)

a=b+c/d

THIS IS ALREADY SOLVED FOR a. (SECOND EQUATION)

O a = b/(C-d)

O a = (d - c)/b

ludmilkaskok [199]3 years ago

4 0

Answer:

Value : c = ad - b

Step-by-step explanation:

Given the equation: Solve for c;

Multiply both sides by d in we get;

subtract b from both sides we have;

Simplify:

ad - b = c

Therefore, the value of c is, ad -b

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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

3 years ago

Find the coordinates of the missing vertex of rectangle ABCD with A(−5, 4), B(2, 4), and C(2, 0).

svlad2 [7]

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

6 0

3 years ago

Please answer this correctly without making mistakes

AnnZ [28]

Answer:

10.99 inches

Step-by-step explanation:

7*2=14

diameter=14

circumference=diameter*pi

14*3.14=43.96

quarter circle

43.96/4=10.99

10.99 inches

7 0

3 years ago

Read 2 more answers

Use the commutative and associative properties as needed to simplify the expression. (16+a)+15

Serjik [45]

Answer:The expression can be simplified in following steps;

Step-by-step explanation:

(16+a)+15=0

16+15+a=0

31+a=0

a=-31

8 0

3 years ago

Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday

algol [13]

We know that, Amount in Compound interest is given by :

$\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}$

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

$\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}$

$\sf{\implies Time \ period = (25 \times 4) = 100}$

Substituting all the values in the formula, we get :

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}$

$\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}$

$\implies \sf{Amount = 2000 \times (1.0125)^{100}}$

$\implies \sf{Amount = 2000 \times 3.463}}$

$\implies \sf{Amount = 6926.8}$

8 0

3 years ago