John solves the equation 5(x-3)+4=18. which 2 choices could be his next step in solving the equation?
5x-15+4=18
5(x-3)=22
5(x-3)=14
5x-13+4=18

Answer:

A = 21 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height between bases and b₁, b₂ are the parallel bases

Here h = 3, b₁ = 9, b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (9 + 5) = 1.5 × 14 = 21 cm²

Answer:

12.5 km.

Step-by-step explanation:

Distance = average speed x time = 25 km/h x 0.5 h = 12.5 km.

if wrong, sorry

(but most likely right)

Answer:

0.375 liters per day

Step-by-step explanation:

1.5 / 4 = 0.375 liters per day

Answer:

Tan (X) = 72/65. = 1.1

Step-by-step explanation:

tan x = (opposite side) / (adjacent side)

From angle X the adjancent is the closest leg which has the value of 65 and the opposite is the furthest leg with a value of 72. (the line that is connecting the legs which is the biggest line is the hypotenuse and has a value of 97). You will not need the hypotenuse I just gave you extra information for future purposes.

so, since tan x = (opposite side) / (adjacent side):

Tan (X) = 72/65.

Answer:

... ................................

The amount of money they must have to be able to buy the items is Php958.25

The amount of money that they must have is the sum of all the amount expressed as:

Total amount  = Php135 + Php123.75 +  Php525.75 + Php96.25 + Php77.5

Total amount = Php958.25

Hence the amount of money they must have to be able to buy the items is Php958.25

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Answer: 177.55 miles

Step-by-step explanation: 355.1/2

                                            = 177.55 miles each day

Answer:

177.55mi/day

Step-by-step explanation:

If you travel for x number of days and want to split your trip evenly across those days, simply divide the distance you need to travel by the number of days.

There are 6.45 or 6.5 square cm in one square in.

If 2 inches are equivalent to 5 centimeters, using unitary method, 6.25 square centimeters are in one square inch.

Unitary method is the method of solving the problem, where you first calculate the value of one item, then to find the value of say, k items, you multiply the value of one item by k.

Here, in this question we have used unitary method to find the relation between square inch and square centimeter given the relation between an inch and a centimeter.

Given in the question,

2 inches  = 5 centimeter

By unitary method,

[tex]1 \ inch = \frac{5}{2} \ centimeter = 2.5 \ centimeter[/tex]

Squaring on both sides,

[tex]1 \ inch * 1 \ inch = 2.5 \ cm * 2.5 \ cm \\\\1 \ inch^2 = 6.25 \ cm ^2[/tex]

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Answer:

-32r+3

Step-by-step explanation:

You have to combine -9r+2r-5r-20r, orrrr…

you can remove the variables and solve:

[tex]-9+2-5-20=\\ -32[/tex]

then add the variable back,

[tex]-32r[/tex]

since the +3 has no variable, you can’t add it to -32r

so…

you have to add it to the equation as a separate term:

[tex]-32r+3[/tex]

hope this helps!

Answer:

C

Step-by-step explanation:

It passes the horizontal line test

Answer:

  B.  yes, it passes the vertical line test

Step-by-step explanation:

A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.

_____

A function maps any given x-value to only one y-value.

Answer:

As it is a triangle, so you start applying Pythagoras;

once with 11 as the hyp. and once where x is the hyp.

where x is the hyp.

feet

and if considering 11 as the hyp. feet

*If the equations are not shown, you simple wait till the page fully loads or refresh the page*

Hope this helps.

Step-by-step explanation:

Answer:

I think it's B.

Step-by-step explanation:

Answer:

The numbers are [tex]2,12,168[/tex]

Step-by-step explanation:

Let the numbers be [tex]a,b,c[/tex]

We have

The sum of three numbers is [tex]182[/tex]

[tex]a+b+c=182-----eqn1[/tex]

The second is [tex]6[/tex] times bigger than the first

[tex]b=6a-----eqn2[/tex]

The third is [tex]14[/tex] times bigger than the second number

[tex]c=14b-------eqn3[/tex]

Substituting in eqn 3

[tex]c=14\times 6a=84a ----eqn4[/tex]

Substituting in eqn 1

[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]

Substituting in eqn 2

[tex]b=6\times2=12[/tex]

Substituting in eqn 3

[tex]c=14\times12=168[/tex]

The numbers are [tex]2,12,168[/tex]

The first number is a , the second number is b , the third number is c

( 0 < a < b < c )

The sum of three numbers is 182

⇒ a + b + c = 182    (1)

The second is 6 times bigger than the first

⇒ b = 6a                 (2)

The third is 14 times bigger than the second number

⇒ c = 14b = 14.6a = 84a               (3)

(1),(2),(3): ⇒ a + 6a + 84a = 182

              ⇒ 91a = 182

              ⇒ a = 2

              ⇒ b = 6a = 6.2 = 12

              ⇒ c = 14b = 14.12 = 168

Those numbers are 2 , 12 , 168

ok done. Thank to me :>

Answer:

1.666666666666666666666666666666666666666666666666666

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

I already did this before

Answer:

it B and D

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

I'm guessing a little bit, bc although you attached an image, it doesn't say what you are trying to prove, nor what you are given. Usually that is provided for a proof.

But we can see that the parallel segments are marked, so we'll call that the given information. Then there are actually two pairs of corresponding angles that are congruent by the Corresponding Angles postulate. But we only need one pair. Then Angle A is congruent to itself by Reflexive Property. Finally what we have proven is that the two triangles ABC and ART are similar by AA

Answer:

it takes the farmer 14 minutes to pick 56 oranges.

Step-by-step explanation:

8 Oranges in 2 minutes. To find the number pick in 1 minute, we need to divide the number picked by the amount of time it took.

8/2=4

Now we know the farmer picks 4 oranges in a minute. So to fid how many minutes it took to pick a certain number of oranges, we need to divide that number by four.

56/4=14

I takes 14 minutes for the farmer to pick 56 oranges.

The farmer picks the 56 oranges in 14 minutes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As given in the question, A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate is to be determined.

unit rate of picking oranges = 8 / 2  = 4 oranges per minute
Now,
Time to pick 56 oranges = 56/4
                                      = 14 oranges

Thus, the farmer picks the 56 oranges in 14 minutes.

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3150 miles in 14 hrs

225 mph

hope this helps!

Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]

Here 5[tex]\neq 3[/tex]

Hence inequality holds

#2

[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]

[tex]\\ \sf\longmapsto 7-7=7-7[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Equality holds

#3

[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]

Equality holds

Done

Answer:

what's the question that you need answered?

Step-by-step explanation:

?

The answer is: J - 3.08 pounds

Option I ) 3.08 pounds

The reason being that it can't round up with the 2 so we just have that number to the hundredth

Answer:

[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]

Step-by-step explanation:

Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]

Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:

[tex]-1=-\frac{3}{4}x-7[/tex]

[tex]6=-\frac{3}{4}x[/tex]

[tex]24=-3x[/tex]

[tex]-8=x[/tex]

So, when [tex]f(x)=-1,x=-8[/tex]

Answer:

42.29 READ THE EXPLANATION

Step-by-step explanation:

i am guessing you mean the cost for 1 pound is 7.98 and he is getting 5.3 but if different do the steps, all you have to do is mutiple the unit rate (7.98) by how many pounds bought(5.3)

[tex] \sqrt[4]{20 {x}^{2} } [/tex]

[tex] \sqrt{2x \sqrt{5} } \\ \\ \sqrt{2 \sqrt{5x} } \\ \\ \sqrt{ \sqrt{(2 {x}^{2} )} \sqrt{5} } \\ \\ \sqrt{ \sqrt{4 {x}^{2} } \times 5} \\ \\ \sqrt{ \sqrt{20 {x}^{2} } } \\ \\ \sqrt[4]{20 {x}^{2} } [/tex]

Answer:

Triangle 20, 30, and 15 will create a triangle

Step-by-step explanation:

In order for side lengths to make a triangle, the sum of the two shortest sides must be greater than the longest side

5+3 < 9 so it does not work

15+20>30 so it does work

Answer:

When reflected across the y-axis the point would be at (9,0)

Answer:

B 71 & 71

Step-by-step explanation:

OP is an angle bisector

Answer:

B

Step-by-step explanation:

Since angles MOP and NOP are both labeled as 2x+1, they must both be equivalent. The only answer choice which shows them to be equivalent is B.

Verification:

(2x+1)+(2x+1)=142

4x=140

x=35

(substitution)

2(35)+1 = 71

The product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

The expression formed by the sum of sub expressions which are product of constant integers with variables raised to some exponent is called polynomial.

Their product is given by:

[tex](x^3 + 3x^2 - x + 2) \times (x^2 + 6x -2)\\= x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 -6x^2 + 2x +2x^2 + 12x - 4\\= x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Thus the product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

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Answer: B

Step-by-step explanation: 6x represents the positive because it represents the amount being made from each ornament. The -30 represents the one-time cost of the table. And the -2.50x represents the cost of each ornament.

Answer:

B)  $7.50

Step-by-step explanation:

Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)

I = 125(.03)(2)

I = 7.5