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3 years ago

Which graph represents 7x+2y< 8

Mathematics

2 answers:

Rudiy273 years ago

7 0

Answer:

Step-by-step explanation:

sorry i thought i clicked cancel

professor190 [17]3 years ago

4 0

Answer:

Graph C.

Step-by-step explanation:

Hi there!

Well let’s first put,

7x + 2y < 8

We need to single out y.

7x + 2y < 8

-7x to both sides

2y < -7x + 8

Divide everything by 2,

y < -7/2x + 4

Well the shade on the graph should be going down because it is y is less than,

And the y intercept should be at 4 with a dotted line and a slope of -7/2.

So graph C. Is correct.

Hope this helps :)

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A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per

Maslowich

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile = 11 cents = 0.11 [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile = 13 cents = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B - Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence, Company B charges $(15.5+0.12x) more for x miles than company A.

7 0

3 years ago

A new restaurant with 131 seats is being planned. Studies show that 62% of the customers demand a "no children" area. How many

ELEN [110]

Answer:

Step-by-step explanation:

According to the study, 62% customer's demand "no children" area, 0.62*131 = 81.22 seats to be very sure there must be 82 seats in "no children" area.

6 0

3 years ago

Geometry - No links please

lubasha [3.4K]

Answer:

Step-by-step explanation:

$In\: \triangle ABR \:\&\: \triangle ANH$

BR || HN(Given)

Therefore,

$\angle ABR \cong \angle ANH$ (Alternate angles)

$\angle BAR \cong \angle HAN$ (Vertical angles)

$\therefore \triangle ABR \sim \triangle ANH$ (AA postulate)

$\therefore \frac{AB}{AN} =\frac{BR}{HN}$ (csst)

$\therefore \frac{x}{16} =\frac{27}{12}$

$\therefore \frac{x}{16} =\frac{9}{4}$

$\therefore x =\frac{9\times 16}{4}$

$\therefore x ={9\times 4}$

$\therefore x =36$

5 0

3 years ago

(12 POINTS)If you can’t help out it would mean so much ty!!!

Maru [420]

Pretty sure it’s the third one. It already says the initial height, 25 feet, so u plug that in for the third term. Although it says the initial speed of 70 miles per hour, you’re supposed to have it in feet per second as states in the first part. To turn 70 miles to feet, multiply by 5280. This gives you 369600 feet. It also needs it in seconds, not hours. So divide 369600 by 60 as there are 60 seconds in an hour. You get 6160. Plug that in for the second term and u should get the third one.

8 0

3 years ago

Answers and how to do them

Bezzdna [24]

Answer:

1)121.5 sq.yards

2)157.92 m²

3)5.434 ft²

4)147.4513 cm²

5)147 cm²

6)56 in²

Step-by-step explanation:

1) Area of shaded region= Area of rectangle-Area of triangle

Area of rectangle= Length*Breadth=18*9 sq.yards=162 sq.yards(length=18 yards and breadth=9 yards)

Area of triangle= $\frac{1}{2}*Base*Height$ = $\frac{1}{2}*9*9$ =40.5 sq.yards(base=9 yards and height= 9 yards)

Therefore,Area of shaded region=162-40.5=121.5 sq.yards

2) In the following figure,

Length of rectangle, l= 21 m

breadth of rectangle, b= 15 m

Radius of circles, r= 5 m

Area of rectangle=l*b=21*15=315 m²

Area of circle= π $r^{2}$ =π* $5^{2}$ =78.54 m²

Therefore,Area of shaded region= Area of rectangle-2*Area of circle

=315-2*78.54=157.92 m²

3) In the following figure,

Radius of circle, r= 2 ft

Base of triangle, b= 6 ft

Height of triangle, h=6 ft

Area of circle= π $r^{2}$ =π* $2^{2}$ =12.566 ft²

Area of triangle= $\frac{1}{2}*Base*Height$

= $\frac{1}{2}*6*6$ =18 ft²

Therefore,Area of shaded region= Area of triangle- Area of circle

= 18-12.566=5.434 ft²

4) In the following figure,

Radius of circle, r= 6 cm

Length of rectangle, l= 17 cm

breadth of rectangle, b= 2*r= 12 cm

Area of semi-circle= π $\frac{r^{2}}{2}$ =π* $\frac{6^{2}}{2}$

=56.5487 cm²

Area of rectangle=l*b=17*12=204 cm²

Therefore,Area of shaded region= Area of rectangle- Area of semi-circle

= 204-56.5487=147.4513 cm²

5) In the following figure,

Side of bigger square, a=14 cm

Side of smaller square, b=7 cm

Area of bigger square= $a^{2}$ = $14^{2}$ =196 cm²

Area of smaller square= $b^{2}$ = $7^{2}$ =49 cm²

Therefore,Area of shaded region= Area of bigger square- Area of smaller square

=196-49=147 cm²

6) In the following figure,

Length of rectangle, l= 10 in

breadth of rectangle, b= 8 in

Base of triangle, b= 8 in

Height of triangle, h=6 in

Area of rectangle=l*b=10*8=80 in²

Area of triangle= $\frac{1}{2}*Base*Height$

= $\frac{1}{2}*8*6$ =24 in²

Therefore,Area of shaded region= Area of triangle- Area of circle

= 80-24=56 in²

7 0

3 years ago