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3 years ago

Algebra:

Mathematics

1 answer:

ladessa [460]3 years ago

3 0

P+4+p-2+p = 47
3p + 2 = 47
p = 15
Answer: Priya is 15, Amirah is 19, and Shirley is 13

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May someone please help me out on this question

NISA [10]

Answer:

Step-by-step explanation:

It's hard to see but when x is 6, y is 4.5. Just plug that into each equation and see which one is correct.

$x^{2} =8y\\x=6;y=4.5\\6^{2} =8(4.5)\\36=36$

8 0

3 years ago

Charlie invests £1200 at 3.5% per annum compound interest.

lbvjy [14]

Answer:

Step-by-step explanation:

Using the compound interest formula $A = P(1+\frac{r}{n} )^{nt}$

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P = £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

$A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46$

Value of Charlie's investment after 3 years is £1,330.46

6 0

3 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

4 years ago

Solve.

Nat2105 [25]

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

Add 3.1 to both sides

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

Divide both sides by -0.4

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>

<u></u>

Learn more here:

brainly.com/question/16864747

7 0

3 years ago

Priya has a recipe for banana bread. She uses 7/1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same r

wlad13 [49]

Answer:

5b=2f

Step-by-step explanation:

Priya uses $7\dfrac{1}{2}$ cups of floor to make 3 loaves of banana bread.

Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.

To find the relation between b and f, the steps are as follows :

$\dfrac{\text{cups of flour}}{\text{loaves of banana bread}}=\dfrac{7 \dfrac{1}{2}}{3}\\\\=\dfrac{\dfrac{15}{2}}{3}\\\\=\dfrac{15}{2}\times \dfrac{1}{3}\\\\=\dfrac{5}{2}$

It means,

$\dfrac{f}{b}=\dfrac{5}{2}\\\\5b=2f$

So, the relationship between b and f is "5b=2f".

4 0

3 years ago

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