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3 years ago

Please solve problem # 23

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

One Hundred Thirty-five Million.

ale4655 [162]3 years ago

8 0

$27000000 \times 5 =$
135,000,000

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Sharyn needs 3 3/8 yards of fabric to make a dress for herself and 2 1/8 yards of the same fabric to make a matching dress for h

Sedaia [141]

The answer is C: 5/8 yards

4 0

4 years ago

What is the equation of the line? Write in standard form. (4,5).

dezoksy [38]

Answer:

$\large\boxed{5x+4y=20}$

Step-by-step explanation:

The equation of a line in slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.

Therefore we have the equation:

$y=mx+5$

Put the coordinates of x-intercept to the equation:

$0=4m+5$ subtract 4m from both sides

$-4m=5$ divide both sides by (-4)

$m=-\dfrac{5}{4}$

Finally we have the equation of a line if slope-intercept form:

$y=-\dfrac{5}{4}x+5$

The standard form:

$Ax+By=C$

Convert:

$y=-\dfrac{5}{4}x+5$ multiply both sides by 4

$4y=-5x+20$ add 5x to both sides

$5x+4y=20$

4 0

3 years ago

Two positive integers are 3 units apart on a number line. Their product is 108.

SVETLANKA909090 [29]

Answer:

d) the numbers are 9 and 12

Step-by-step explanation:

set each factor equal to 108:

m-12=108

m = 120

*************

m-9=108

m=117

*************

120 and 117 are 3 units apart

****************

9 x 12 = 108

7 0

3 years ago

I need help ASAP! It's urgent.. PLISSSSS

natali 33 [55]

Answer:

a) 6 mins

b) 70km/h

c) t= 45

Step-by-step explanation:

a) The bus stops from t=10 to t=16 minutes since the distance the busvtravelled remained constant at 15km

Duration

= 16 -10

= 6 minutes

b) Average speed

= total distance ÷ total time

Total time

= 24min

= (24÷60) hr

= 0.4 h

Average speed

= 28 ÷0.4

= 70 km/h

c) Average speed= total distance/ total time

Average speed

= 80km/h

= (80÷60) km/min

= 1⅓ km/min

1⅓= 28 ÷(t -24)

since duration for return journey is from t=24 mins to t mins.

$\frac{4}{3}$ (t -24)= 28

$\frac{4}{3}$ t - 32= 28

$\frac{4}{3}$ t= 32 +28

$\frac{4}{3}$ t= 60

t= $6 0\div \frac{4}{3}$

t= 45

*Here, I assume that this is a displacement- time graph, so the distance shown is the distance of the bus from the starting point because technically if it is a distance-time graph, the distance would still increase as the bus travels the 'return journey'.

Thus, distance is decreasing after t=24 and reaches zero at time= t mins so that is the return journey. (because when the bus returns back to starting point, displacement/ distance from starting point= 0km)

5 0

4 years ago

LOTS OF POINTS!?!?!?Write a linear function f with the values f(5)=−1 and f(0)=−1. f(x)=

Brut [27]

Answer:

The euation of the linear function is:

y = -1

Step-by-step explanation:

As the function has the values

at x = 5, f(5) = -1

at x = 0, f(0) = -1

Thus, the two points are:

(5, -1)

(0, -1)

Finding the slope between (5, -1) and (0, -1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)$

$m=\frac{-1-\left(-1\right)}{0-5}$

$m=0$

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

y = -1

4 0

3 years ago