Determine the area of the composite figure.

Answer:

Caleb and Devon each bowled for [tex]10[/tex] hours and spent [tex]\$55[/tex].

Step-by-step explanation:

Equations:

Where:

System of equations:

[tex]\begin{cases}y=4x+15\\y=5x+5\end{cases}[/tex]

Solve for x

Step 1: Substitute the second equation into the first.

[tex]\implies 4x+15=5x+5[/tex]

Step 2: Subtract [tex]5x[/tex] from both sides

[tex]\implies 4x-5x+15=5x-5x+5[/tex]

[tex]\implies -x+15=5[/tex]

Step 3: Subtract [tex]15[/tex] from both sides.

[tex]\implies -x+15-15=5-15[/tex]

[tex]\implies -1x=-10[/tex]

Step 4: Divide both sides by [tex]-1[/tex] .

[tex]\implies \dfrac{-1x}{-1}=\dfrac{-10}{-1}[/tex]

[tex]\implies \boxed{x=10}[/tex]

Solve for y

Step 1: Substitute the found [tex]x[/tex] value into one of the system of equations.

[tex]\implies y=4(10)+15[/tex]

Step 2: Multiply and add.

[tex]\implies y=40+15[/tex]

[tex]\implies \boxed{y=55}[/tex]

Therefore, Caleb and Devon each bowled for 10 hours and spent $55.

Answer:

70°

Step-by-step explanation:

As, the sum of the angles in a straight line is 180°.

<E F C + < E F B = 180

70 + < E F B = 180

< E F B = 180 - 70

< E F B = 110°

Also, we know that the sum of the interior angles in a quadrilateral is 360°

So,

< E A B + < A E F + < E F B + < F B A = 360

90 + 90 + 110 + x = 360

290 + x = 360

x = 360 - 290

x = 70°

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

x= 7/12

Step-by-step explanation:

3/4- 1/6

18/24- 4/24

14/24

7/12

Answer:

$100.87 (to the nearest cent)

Step-by-step explanation:

1 gallon = 27 miles

⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons

1 gallon = $3.25

⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)

Answer:

I believe it is the "square root" sign

Answer:

distributive

Step-by-step explanation:

Answer:

31.42cm

Step-by-step explanation:

Answer. We know that C = πd. Since the diameter is 10cm, we know that C = π x 10cm = 31.42cm (to 2 decimal places).

X = 5

Step-by-step explanation:

78 = 12x+18

-18 -18

60 = 12x

5 = x

Explanation:

"5 hours 50 minutes" is close to "6 hours"

Let's subtract 6 hours from 17:25

It would drop us to 11:25 since 17-6 = 11.

When we subtracted 6 hours, we subtracted 10 extra minutes that we shouldn't have done. To fix this, add 10 minutes on to go from 11:25 to 11:35

Answer:

The traveler started at 11:35

Step-by-step explanation:

The question already gives you the time that the traveler arrived which is 17:25 and how long it took them to get to the desired location which was 5 hours 50 minutes. So what you need to do is subtract the time the traveler arrived to how long it took to get there.

Equation:

17:25 - 5:50

= 11:35

Answer:

A is true. (3/5)³ has base 3/5

C is true. (3/5)³ has exponent 3.

D is true. (3/5)³ = 3/5 × 3/5 × 3/5.

G is true. (3/5)³ = 3/5 × 3/5 × 3/5 = 27/125

Step-by-step explanation:

there are different ways you could do it using the elimination and substitution method.

hope this helps you!

-s.

Answer:

x = 1 and y = -28

(1,-28)

Elimination & Substitution method

8x + 4y = -104 →multiply by 1

4x + y = - 24 →multiply by 4

8x + 4y = -104

16x + 4y = -96

____________-

-8x = -8

x = -8/-8

[tex] \boxed{x = 1}[/tex]

Substitute x

4x + y = -24

4(1) + y = -24

4 + y = -24

y = -24 - 4

[tex] \boxed{y = - 28}[/tex]

Answer:

i dont know that try looking it up

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

Answer:

Here is your answer

Step-by-step explanation:

Question: f(x)= x³-5x²-x

Answer:. f(3)=3³-5 x 3³ -3

f(3)=27 -135 -3

f(3)=27-138

f(3)=-111

hope this helps you

please mark me brainliest

have a great day :)

Answer:

n=18 sides

Step-by-step explanation:

Given: Exterior angle =20°

Find: sides of a regular polygon

Solution: θ=(360°)/side , θ=20°

Let n= number of sides

θ=360°/n

20=360/n

n=360/20

n=18

Answer:

D

Step-by-step explanation:

1 1/5 = 6/5. 6/5 x 8/8 = 48/40.

2 1/8 = 17/8. 17/8 x 5 = 85/40

:)

Answer:

D)  [tex]\frac{48}{40} + \frac{85}{40}[/tex]

Step-by-step explanation:

[tex]1 \frac{1}{5} =5*1+1= 5+1 =6[/tex]

[tex]\frac{6}{5}[/tex]

[tex]2\frac{1}{8}=8*2+1=16+1 = 17[/tex]

[tex]\frac{17}{8}[/tex]

5 and 8 have a common multiple of 40

[tex]\frac{6}{5}[/tex] + [tex]\frac{17}{8}[/tex] = [tex]\frac{48}{40} + \frac{85}{40}[/tex]

Hope this helps!

okay put heat on the left

Step-by-step explanation:

Answer:

The heat is rising is progressive tense.

The steak was cooking nicely is perfect tense.

A day at the mall will be boring is progressive tense.

Ed will have finished by now is perfect tense.

I have weeded the garden is perfect tense.

Eva had read that mystery novel is perfect tense.

Step-by-step explanation:

The progressive tenses are used to indicate an unfinished action.  The perfect tenses describe a finished action, beginning in the past.

Answer:

29.4 m/s

Step-by-step explanation:

Use v = at with a = 9.8 m/s^2 and t = 3.00 sec

v = 9.8 * 3.00 = 29.4 m/s

[tex]\bold{\huge{\orange{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore,

Cost of 140 shares purchased by Jan in the ABC company

[tex]\sf{ = 140 × 18.75 }[/tex]

[tex]\sf{ = 2625\: dollars }[/tex]

Now,

For next 3 days, the value of share declined

[tex]\sf{ = (1 + 1.75 + 1.50)dollars }[/tex]

[tex]\sf{ = 4.25 \: dollars }[/tex]

Therefore,

The value of shares after 3 days will be

[tex]\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}[/tex]

[tex]\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}[/tex]

[tex]\bold{\red{ = 18.75\: dollars}}[/tex]

Hence, The value of share after 3 days will be $18.75 .

Answer:

[tex] {x}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} = 1 \\ {x}^{2} = \frac{1}{4} \\ x = \frac{1}{2} \: \: or( \frac{1}{2} ) \\ x > 0 \\ therefore \: \: x = \frac{1}{2} [/tex]

Answer:

[tex]x=-\frac{1}{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x - h)^2+(y-k)^2=r^2[/tex]

where (h, k) = center and r = radius

From inspection, we can see that the center of the circle = (0, 0)

and the radius = 1

[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]

[tex]\implies x^2+y^2=1[/tex]

Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex]  into  [tex]x^2+y^2=1[/tex]  and solve for [tex]x[/tex]:

[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]

[tex]\implies x^2+\frac{3}{4}=1[/tex]

[tex]\implies x^2=\frac{1}{4}[/tex]

[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]

[tex]\implies x=\pm\frac{1}{2}[/tex]

As point P is in quadrant 2, [tex]x[/tex] is negative, so [tex]x=-\frac{1}{2}[/tex]

Answer:

Answer A is correct

Step-by-step explanation:

√x - 4 = -2

√x = -2 + 4

√x = +2

x = 2²

x = 2 × 2

x = 4

 Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

SIMPLE INTEREST=PRT/100

P=300

R=5%

T=3

SI=300×5×3/100

SI=3×5×3

SI=45

Answer:

Principal(P) = R300 rate( r )=5% n=5 years

Total amount

= P(1+r/100)^n

= 300(1+5/100)^3

=R347. 2875

Interest

= Total amount - Principal amount

= 347.2875 - 300

= R47.2875

= R47.30( rounded up to 2

decimal places)

Answer:

See below.

Step-by-step explanation:

The answer is 0.02146500052, or 0.02.

-hope it helps

(Thanks.)

Answer:

12,746

Step-by-step explanation:

To find this answer, we need to divide by 8

Since we know that South Dakota sells 8X less than Michigan, we have to use the opposite sign (which in this case is division.)

Now, we use the equation 101,968/8 which gets us an answer of…

12,746!

Solution:

Simplify the inequality one by one:

This means that...

Hoped this helped!

Required solution :

First solving for -10 < 5 + x

⇒-10 - 5 < x

⇒ -15 < x

Now for 5 + x < -5

⇒ x < -5 - 5

⇒ x < -10

Therefore,

Answer:

352.45 + 1.087x ≤ 575

Step-by-step explanation:

The most you can spend is $575, so the total you spend must be ≤ 575.

You already have a total for the pants of $352.45.

352.45 + price of hoodies ≤ 575

Let x = total price of the hoodies before tax.

The price of the hoodies with tax is

x + 8.7% of x = x + 0.087x = 1.087x

The inequality is

352.45 + 1.087x ≤ 575

Answer:

778688

Step-by-step explanation:

because you do 92 times 92 times 92!

please mark brainliest i need 2 more