What expression is equivalent to (2a - 7) + 5(3 - a)

Step-by-step explanation:

Angles APD, DPC and CPB are supplementary. (Angles on a straight line)

Therefore Angle APD + Angle DPC + Angle CPB = 180°.

Since Angle DPC = 90° (Right angle),

Angle APD + Angle CPB = 180° - 90° = 90°.

=> (7x + 1) + (9x - 7) = 90

=> 16x - 6 = 90

=> x = 6

Hence arc measure of minor arc AD

= (7x + 1)° = [7(6) + 1]° = 43°.

Answer:

10.5 miles

Step-by-step explanation:

3 * 3.5 = 10.5

Given:

[tex]5^2\times 5^{x-5}=625[/tex]

To find:

The value of x.

Solution:

We have,

[tex]5^2\times 5^{x-5}=625[/tex]

It can be written as

[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]

Using property of exponents, we get

[tex]5^{2+x-5}=5^4[/tex]            [tex][\because a^m\times a^n=a^{m+n}][/tex]

[tex]5^{x-3}=5^4[/tex]

Comparing the exponents on both sides, we get

[tex]x-3=4[/tex]

Adding 3 on both sides, we get

[tex]x=4+3[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

Answer:

y=2x+5

Step-by-step explanation:

Let's solve for y.

−2x+y=5

Step 1: Add 2x to both sides.

−2x+y+2x=5+2x

y=2x+5

Answer:

y = 2x + 5

Step-by-step explanation:

-2x + y = 5 or y -2x = 5

We want what y equals so we need to isloate it. To do this, we need to add2x to both sides. This will cancel the 2x on the left side and now we have y alone. Remember, you have to do it to both sides. Therefore:

y = 2x + 5

Note: This equation is in slope-intercept form, y= mx + b

If this was the equation of a line:

  m (slope) = 2

  b (y-intercept) = 5

Hope this helps!

Step-by-step explanation:

2x + 3x + 4x = 180

9x = 180

x = 20

2x = 2(20)=40

3x = 3(20)=60

4x = 4(20)=80

Answer:

38.774

Step-by-step explanation:

Answer:38.774

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You can eliminate B and D because it’s using [tex]\frac{g}{f}[/tex], but the question is asking [tex]\frac{f}{g}[/tex]. So it’s either A or C. They are both written correctly, but out of the two, A is correct because just that x ≠ [tex]\sqrt{7}[/tex] part of it is what makes it true.

The reason being is that the only thing that won’t make [tex]\frac{2x+1}{x^{2}-7 }[/tex] true is when the denominator equals 0, because anything divided by 0 is undefined. So, when you plug [tex]\sqrt{7}[/tex] for x in the denominator you get: [tex]\sqrt{7^{2} } -7[/tex]. The [tex]\sqrt{7^{2} }[/tex] part just turns into 7, and 7 - 7 is 0. So you don’t want x to equal [tex]\sqrt{7}[/tex].

So the answer is A:  [tex]\frac{2x+1}{x^{2}-7}[/tex], [tex]x\neq[/tex] ± [tex]\sqrt{7}[/tex]

There you go my friend!

I hope you understand and that this helps with your question! :)

The total budget was = $324

The percentage of budget spent = 80%

The cost of 80% of budget spent on scooter = $259.20

But the percentage of total budget = 100%

Therefore the cost of total budget =

[tex] \frac{100 \times 259.20}{80} [/tex]

[tex] \frac{25920}{80} [/tex]

= 324

Therefore the cost of the total budget = $324

Learn more here:

https://brainly.com/question/16790959

multi subs AND THIS AND THAT AND THIS AND THAT

Answer:

195.19 min

Step-by-step explanation:

7.45 x 26.2 = 195.19

Answer:

0.54 There you go!

There are 168 cookies. 14 times a dozen (12) is 168.

The ratio of cups of sugar to cookies is 7.5 to 168.

If you want to find the cups of sugar you need for 168, divide 7.5 and 168 by 168.

168/168=1

7.5/168 is about 0.04.

The cups of sugar you use for one cookie is 0.04.

(sorry for my horrible grammar lol)

Answer:

y=3x-2

Step-by-step explanation:

Answer:

y =2x -3

Brainiest pls :)

Answer:

j ≥ -37

Step-by-step explanation:

j + 16 ≥ -21

move constant to the right hand side and change its sign

j ≥ -21 - 16

calculate the difference (subtract)

j ≥ -37

The graph would be a closed circle on -37 with an arrow pointing to the right.

To solve and describe the graph.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. The quality of being unequal or uneven.

Given that:

The inequality is

j + 16 ≥ -21

Move constant to the right hand side and change its sign

j ≥ -21 - 16

calculate the difference (subtract) the constant term

j ≥ -37

So, the graph would be a closed circle on -37 with an arrow pointing to the right.

Learn more about inequality here:

https://brainly.com/question/19846294

#SPJ5

Step-by-step explanation:

Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.

The total no of cabinets are 100

Equation will be : x+y = 110

We can write it as : y = 110-x ...(1)

Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.

Equation will be : y = 2x + 20 ...(2)

Put the value of y from equation (1) into equation (2).

110-x = 2x + 20

Combining like terms,

110-20 = 2x+x

90 = 3x

x = 30

Put the value of x in equation (1) :

y = 110-30

y = 80

Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.

Answer:

The fraction of the trip completed is ³/₈

The fraction of the trip completed in decimal form is 0.375

Step-by-step explanation:

Given;

total trip to be completed by Tora, = 320 miles

distance completed by Tora, = 120 miles

The fraction of the race that Tora has completed is given as;

[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]

As a decimal the fraction is written as;

[tex]\frac{3}{8} = 0.375[/tex]

Answer:

Jim.

Step-by-step explanation:

Descending results in a greater depth so we add the measurements when they descend and rising results in a lower depth so we minus the measurements when they rise. The surface area has no depth yet, so it is 0 feet depth.

Jim = 8 + 20 - 7 + 12

     = 33

Carla = 0 + 15 -7 + 20

         = 28

Since 33 feet is deeper than 28 feet, Jim rested at a greater depth.

Answer:

y = -4/5x

Step-by-step explanation:

it crosses the y line at 0 so you leave the y-intercept out of the equation

Answer:

Step-by-step explanation:

I need the statements please.

Answer:

80%

Step-by-step explanation: Because if 20% of 250 equal 50 then 200 is 80% because adding 4 50 is 200.

Answer:

80%

Step-by-step explanation:

what ever he /she said

Answer:

A: 340

Step-by-step explanation:

If there are five busses and 70 seats with two seats taken on two busses the steps are.

1. 5x70=350 this means there are 350 seats on the buses.

2. 5x2=10 this means there are 10 seats taken by the teachers.

3. 350-10=340 this means there are 340 available seats.

Answer: A: 340

Answer:

19.79+x >= 25

x>=5.21

Step-by-step explanation:

Answer:

50, 25

Step-by-step explanation:

Answer:

Not enought information

Step-by-step explanation:

Maybe put a picture?

Answer:

medium

Step-by-step explanation:

yea sure so according to my calculations small is 3.95 so if we subtract the medium size minus 3.95 which would be 4.25-3.95 the difference is 30 cents now if we subtract large size by small size 4.55-3.95 the difference is .60 cents therefore if she wants to save .60 cents i would choose medium size but large minus medium 4.55-4.25 it would also be .30 cents

Answer:

Concept: Geometric Identities

Answer:

I think it is 2

Step-by-step explanation:

Answer:

πr^2

Step-by-step explanation:

My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):

"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."

Answer:

A=πr2

Step-by-step explanation:

i believe this is the formula

Answer:

30 ml (c)

Step-by-step explanation:

Answer:

30 mL :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are three turning points.

The local minimums are (-1,-5) and (1, -5)

The local maximum is (0,-4)