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2 years ago

Complete the statement If x/7 = 5/3, then x+7/7 =?

1 answer:

6 0

Lets get started :)

$\frac{x}{7} = \frac{5}{3}$
We can cross multiply, to find the value of x
3x = 7 x 5
3x = 35
We have to divide by 3 on either sides to isolate x
$\frac{3x}{3} = \frac{35}{3}$
3 and 3 cancels out

x = $\frac{35}{3}$

Then, x + $\frac{7}{7}$ ( 7 divided by 7 is 1)
$\frac{35}{3}$ + 1 = $\frac{38}{3}$

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The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7

tangare [24]

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

$65 = x + x - 5 + 7$

$65 - 7 + 5 = x + x$

$63 = 2x$

$x = \frac{63}{2} = 31.5$

The length of each side is 31.5m, 26.5m, 7m

4 0

3 years ago

B. What is (64) ? What is (19) ?

Novosadov [1.4K]

PLEASE GIVE BRAINLIST

1. 6,4x10^1

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HOPE THIS HELPED

3 0

2 years ago

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account

telo118 [61]

Answer:

A(t) = 200+15t(1+0.02)^{t}

Step-by-step explanation:

Since the interest is calculated on the new balance every year.

Hence the formula used for compound interest is:

A = P(1+ $\frac{r}{n}$ ^{nt}

where, A =Amount after t years

P =Principal amount

200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t

r = rate each year (0.02)

t = time (in years) (t)

n = no. of times the interest is compounded in a year (n=1)

Therefore, the recursive formula is:

A(t) = 200+15t(1+0.02)^{t}

6 0

3 years ago

Read 2 more answers

A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a

evablogger [386]

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight line with a gentle positive slope of 0.2.

7 0

2 years ago

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v

Anettt [7]

X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-6y + 4y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)

5 0

2 years ago

Read 2 more answers