m∠1=45° and m∠3=65°
What is m∠4?



2. In right △ABC with right angle B, m∠A=(3x−8)° and m∠C=(x−2)°.
What is m∠A?
47°
67°
25°
92

One pane costs $2.45, therefore 2 panes would cost  $4.90. and the combined cost of all seven panes would be $17.15. I got this by dividing 12.25 by 5 and multiplying that by 7 to get 17.15. I hope this helped you with your question :)

The cost of another 2 panes of glass is $4.90.

To find the cost of another 2 panes of glass, we first need to determine the cost per pane of glass. Since the nursery owner bought 5 panes of glass for $12.25, we can divide the total cost by the number of panes to get the cost per pane: $12.25 ÷ 5 = $2.45

Since the owner broke 2 more panes, we can multiply the cost per pane by the number of additional panes needed: $2.45 × 2 = $4.90

Therefore, the cost of another 2 panes of glass is $4.90.

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To find the number of gallons of olive oil used during the week, divide the volume of olive oil used in quarts by 4.

To find out how many gallons of olive oil the restaurant used during the week, we need to know the volume of olive oil used and convert it from quarts to gallons. Since there are 4 quarts in a gallon, we can divide the volume of olive oil used by 4 to get the number of gallons. Let's say the restaurant used 20 quarts of olive oil during the week. We divide 20 by 4 to get the answer:

20 quarts ÷ 4 = 5 gallons

Therefore, the restaurant used 5 gallons of olive oil during the week.

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It would be second choice

Answer:

None of the above.

Step-by-step explanation:

Given,

The area of ground covered by each bag = 12x square feet,

Let A be the total area of the land,

So, the total number of bags required = [tex]\frac{\text{total area}}{\text{area covered by each bag}}[/tex]

[tex]=\frac{A}{12x}[/tex]

Also, the cost of each bag  = 22 dollars,

So, the total cost to cover the ground ( say C ) = number of bags required × cost of each bag

[tex]C=\frac{A}{12x}\times 22[/tex]

For minimizing C we need the value of A,

Hence, none of the given options are correct.

When three coins are tossed, the probability of two coins landing on heads is 3/8 or 0.375.

In the scenario where three coins are tossed, the total outcomes possible would be 2^3 = 8 (representing Heads/H or Tails/T): HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Out of these, there are three outcomes where exactly two coins show heads (HHT, HTH, THH), and one coin shows tails. Hence, the probability of getting exactly two heads when three coins are tossed is 3 out of 8 or 3/8 = 0.375.

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Hey there,

783 rounded to the nearest hundred is 800.

- Ari -

The hundreds digit is the 7.

Everything to the right of the 7 becomes zero giving you 700.

Now look at the original digit to the right of the 7 in the number 783. It is an 8. Since an 8 is greater than or equal to 5, the previous digit goes up by 1, so the 7 becomes an 8.

Answer: 800

Answer:

Principal = $4,500

Rate of interest=3%

Time = x years

We have to find number of years such that

Amount ≤$7020

Amount ≤ Principal + Simple interest

7020≤4500+ S.I

S.I≥7020-4500

S.I≥$2520

Formula for simple interest

S.I=[tex]\frac{P\times R \times T}{100}[/tex], where P=Principal, R=Rate of interest, T=time

2520≥[tex]\frac{4500 \times 3 \times x}{100}[/tex]

[tex]\frac{2520 \times 100}{4500 \times 3} \leq x[/tex]

x≤[tex]\frac{56}{3}[/tex]

So, the solution set is (0,[tex]\frac{56}{3}[/tex]]

Answer:    

The solution set to the given inequality : 0 < x ≤ 18.67

Step-by-step explanation:

Principal = $4500

Simple Interest Rate = 3%

                                  = 0.03

Time = x year

Amount in the account will be less than or equal to $7020

⇒ Amount ≥ Principal × (1 + Rate × Time)

⇒ 7020 ≥ 4500(1 + 0.03·x)

⇒ 7020 ≥ 4500 + 135·x

⇒ 2520 ≥ 135·x

⇒ 18.67 ≥ x

The solution set to the given inequality : 0 < x ≤ 18.67

Moving the decimal 3 places to the right

The correct option is c.

To multiply a whole number by 1,000, move its decimal point three places to the right and add zeros.

To multiply a whole number by 1,000, which is equivalent to adding three zeros to the end of the number, you would:

c). Move the decimal point three places to the right and fill in the blank places with zeros.

Let's illustrate with an example:

If we have the whole number 5, multiplying it by 1,000 would result in 5,000.

To achieve this using option c):

- Start with 5.

- Move the decimal point three places to the right: 5.000.

- Fill in the blank places with zeros: 5,000.

This process ensures that the value increases by a factor of 1,000, which matches the result of multiplying the whole number by 1,000. Therefore, option c) is the correct procedure.

The complete question is here:

Which of these procedures is the same as multiplying a whole number by 1,000?

a). add 1000 to the whole number, 3 times

b). multiply the whole number by 3, ten times

c). move the decimal point there places to the left and fill in the blank places with zeros

d). move each digit of the whole number three places to the left and fill in the blank with places with zeros

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

Answer:

6.35 cm

Step-by-step explanation:

Did this exam on FLVS.

02.07 Unit Conversions right?

well hope this helped!!

- The sample size is 64.

- The point estimate of the population proportion is 0.625.

-The margin of error is approximately 16%.

Answer:

Step-by-step explanation:

Given that Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.

Out of the statements given the true statements are :

1) The sample size is 64

2) The point estimate of the population is sample proportion =40/64 =5/8

=0.625

3) Margin of error = std error x 2.58

Std error = sq rt pq/n

p=0.625 and q = 0.375

Hence std error = 0.060

Margin of error = 0.156

Round off to 0.16 = 16%

Your corresponding angles is wrong. Instead, use 9 and 12.

That's about it. Good luck!

The answer is C. 3x+5= 5x -8

5

Rounding to whole number is the same number as it is, tenth means to leave one number after the decimal point, hundredths means to leave two numbers after the decimal point and so on.

Split the second term in 4m^2 + 16m + 15 into two terms

4m^2 + 10m + 6m + 15

Factor out the common terms in the first two terms, then in the last two terms

2m(2m + 5) + 3(2m + 5)

Factor out the common term 2m + 5

(2m + 5)(2m + 3)

4m^2 + 16m + 15

With the way the trinomial is, we cannot factor it in it's current state.

We must check to see if splitting the middle term is possible.

List factors of 60

1 * 60

-1 * -60

2 * 30

-2 * -30

3 * 20

-3 * -20

4 * 15

-4 * -15

5 * 12

-5 * -12

6 * 10 (this digits satisfy the criteria for splitting the middle term.)

Split the middle term.

4m^2 + 6m + 10m + 15

Group the polynomials in terms of 2.

(4m^2 + 6m) + (10m + 15)

Factor each binomial.

2m(2m + 3) + 5(2m + 3)

Rearrange the binomials.

(2m + 5)(2m + 3)

[tex]-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8[/tex]

Hello there!

The answer it should be the the last option "x=8".

[tex]-5x+6(4x+15)=242\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to expand the form.

[tex]6(4x+15):24x+90[/tex]

[tex]-5x+24x+90=242[/tex]

Then you had to add similar by the elements.

[tex]-5x+24x=19x[/tex]

[tex]19x+90=242[/tex]

You had to subtract by 90 from both sides of the equation.

[tex]19x+90-90=242-90[/tex]

Simplify

[tex]19x=152[/tex]

Divide by 19 from both sides of the equation.

[tex]\frac{19x}{19}=\frac{152}{19}[/tex]

Simplify it should be the correct answer.

[tex]x=8[/tex]

Answer⇒⇒⇒⇒x=8

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

[tex]\dfrac{2}{3}(4x-5)=8\qquad|\text{use the division property of equality}\\\\\dfrac{2}{3}(4x-5):\dfrac{2}{3}=8:\dfrac{2}{3}\\\\\dfrac{2}{3}(4x-5)\cdot\dfrac{3}{2}=8\cdot\dfrac{3}{2}\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=\dfrac{17}{4}[/tex]

Correct answer is: difference in their scores is 30

Solution:-

Given that Jeff won a contest play a round golf with Phil.

And Phil's score was -6 where as Jeff score was 24.

Hence difference in the scores = Higher score - lower score

                                                    = 24-(-6) = 30 ( negative of negative will become positive)

Hence difference in their scores is 30.

Answer:

7

Step-by-step explanation:

Formula

Total Juice boxes(T) = number of packs(n) * amount in each pack(a)

T = n * a

Givens

T = 84

n = ???

a = 12

Solution

T = n * a      Substitute givens

84 = 12*n    Divide by 12

n = 84 /12  

n = 7            Answer number of packs of 12

2. Because it is being reflected across the X axis, the X coordinate would change signs, but the Y coordinate would remain the same sign.

A(-6,-4) would become A'(6,-4)

B(-3,5) would become B'(3,5)

C(1,-1) would become C'(-1,-1)

The answer would be the third choice.

3. Reflected across the Y axis, the X would stay the same sign and the Y would change signs.

P(-2,-4) would become P'(-2,4)

Q(2,-5) would become Q'(2,5)

R(-1,-8) would become R'(-1,8)

The answer would be the second choice.

We know that the diagonals of rectangle are congruent and bisect each other. So it means the given measurements would be equal to each other. We can set them equal asn solve for x.

8x + 3 = 4x + 7

Subtracting 3 from both sides;

8x + 3 - 3 = 4x + 7 - 3

8x = 4x + 4

Subtracting 4x from both sides;

8x - 4x = 4x + 4 - 4x

4x = 4

Dividing by 4 on both sides;

4x/4 = 4/4

x = 1

Hence, option A is correct i.e. x = 1.

Answer: x=1

Step-by-step explanation:

y=4/5 x      is a proportional relationship

Answer:

Triangle KLM is congruent to triangle ONM.

Step-by-step explanation:

All three angles of triangles are equal, that is both triangles are congruent.

Please share the figure to show the numbering of angle you are using. So that I can describe you which angle is equal to which one.

The correct answer is:   [B]:    " (x + 5) " .

______________________________

Explanation:

To solve:

_______________________________

Given:

_______________________________

" x²  +  13x + 40 " ;  factor into "two terms" ;

    →  that is;    "factor into 2 (two) binomial expressions" .

____________________________

  What 2 (two) factors of:  "+ 40"  add up to " + 13 " ?  ;

____________________________  

+ 40, + 1  ?? ;  →   +40 + (+1) = +41 ;  →  + 41 ≠  + 13 ;

 - 40 + (-1) ?? ;  →  - 40 + (-1) = - 40 - 1 = - 41 ;  →  - 41  ≠ +13 ;

  +8, + 5 ?? ;     →  + 8 + 5 = + 13 ;  →  + 13  = + 13 .  Yes!

So;  the factors of:  " x²  +  13x + 40 "  ;

are:  " (x + 5) (x + 8) " .

______________________________

        Among this 2 (two) binomial factors:  "(x + 5)"  AND:  "(x + 8)" ;

  one of these:  " (x + 5) "   —   appears among the answer choices provided;

        →  which is:     [B]:    " (x + 5) " .

______________________________

The correct answer is:    [B]:     " (x + 5) " .

______________________________

Hope this helps!

  Best wishes in your academic endeavors — and

     within the "Brainly" community!

______________________________

Bob drove 134.5 miles. If you created a comparison between 5/7 and 188.3, do so by using 5/7=x/188.3 . Multiply 7 and x equaling to 7x and 5 with 188.3 to get 941.5 . After that divide 941.5 by 7x, and the answer for x would result in 134.5, the amount he drove

1.40/3.5=.4

that would be your answer

Width=10

Length=20

10 is half of 20

10 × 20 = 200,

The width of the rectangle is 10 centimeters and the length is 20 centimeters. This is determined by using the formula for area of a rectangle, length times width, and substituting the given values.

To solve this problem, we'll use the formula for the area of a rectangle, which is length times width. We're told that the length is 2 times the width and the area is 200 square centimeters.

Let's designate the width as x. So the length is 2x. Since area is length times width, the equation is 2x*x=200. This simplifies to 2x2=200, or x2=100. Therefore, x equals 10 (as we don't consider a negative number for measurement). The width of the rectangle is 10 centimeters and the length, being 2 times the width, is 20 centimeters.

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