Benjamin is saving up to buy a new bicycle. He already has $45 and can save an
additional $6 per week using money from his after school job. How much total money
would Benjamin have after 10 weeks of saving? Also, write an expression that
represents the amount of money Benjamin would have saved in w weeks.

Answer:

Step-by-step explanation: The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph  by  finding  the change  in y and the change in x.

Answer:

Step-by-step explanation:

(x-a)² + (y-b)² = c²

Answer:

that's an adorable little baby.

Step-by-step explanation:

Answer:

its cute

Step-by-step explanation:

Answer:

r = the radius, in your case, it's 4 cm. So. Area = π ×r2. = π× (4 cm)2. = 16π cm2 ≈ 50.24 cm2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the table we see that:

If you have t minutes to complete the test then required inequality is:

Replace x any with the given values:

x/y = 9/3 = 3

The answer is 3

Answer:

yes

Step-by-step explanation:

from sss axiom

we can say that they are congurqnt

Answer:

2

Step-by-step explanation:

Let the two consecutive integers be x , x+1

Sum : x + x +1 = 2x + 1

Difference: (x +1) - 1 = x + 1 - 1 = x

Sum = 3 times their difference

2x + 1 = 3 * x

2x + 1 = 3x    

      1 = 3x - 2x

     1 = x

The numbers are 1 , 2

Answer:

y=3(50)×

y=3(50) 8

50×3=150

150×8=1,200

Answer:

3rd one

Step-by-step explanation:

Answer:

$5700 - $5500= $200

Explanation:

The total installments: 24 ($175) = $4200

The hire purchase price: $1500 + $4200 = $5700

The amount saved by paying cash: $5700 - $5500= $200

The sets of side lengths that can produce a triangle are

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

That is, in a given triangle of sides a, b and c,

a + b ≥ c

Analysing the sets of the side lengths given,

In triangle 2 cm, 7 cm, and 6 cm,

2 + 6 = 8,

Therefore 8cm which is greater than the third side being 7cm makes this side lengths possible to produce a triangle.

In triangle 2 m, 5 m, and 7 m,

2 + 5 = 7

Addition of both sides of the triangle is equal to the third side being 7m.

In triangle 6 ft, 6 ft, and 12 ft,

6 + 6 = 12

Addition of both sides of the triangle is equal to the third side being 12ft

Therefore the sets of side lengths could produce a triangle are

2 cm, 7 cm, and 6 cm

2 m, 5 m, and 7 m

6 ft, 6 ft, and 12 ft

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Answer:

5 6 2 + 1 9 − 1 0

Step-by-step explanation:

Answer:

Question 11:

[tex]\angle DAC = 53^\circ[/tex]

[tex]\angle AED = 90^\circ[/tex]

[tex]\angle ADC = 74[/tex]

[tex]DB = 16[/tex]

[tex]AE = 6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

[tex]\angle BAC = 53^\circ[/tex]

[tex]DE = 8[/tex]

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): [tex]\angle DAC[/tex]

Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles

i.e

[tex]\angle DAC = \angle BAC[/tex]

So:

[tex]\angle DAC = 53^\circ[/tex]

Solving (b): [tex]\angle AED[/tex]

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

[tex]\angle AED = 90^\circ[/tex]

Solving (c): [tex]\angle ADC[/tex]

First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:

[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]

[tex]\angle ADE + 90 + 53 = 180[/tex]

[tex]\angle ADE + 143 = 180[/tex]

[tex]\angle ADE = -143 + 180[/tex]

[tex]\angle ADE = 37[/tex]

To calculate [tex]\angle ADC[/tex], we have:

[tex]\angle ADC = 2*\angle ADE[/tex]

[tex]\angle ADC = 2* 37[/tex]

[tex]\angle ADC = 74[/tex]

Solving (d): [tex]DB[/tex]

From the rhombus

[tex]DB = DE +EB[/tex]

Where

[tex]DE =EB[/tex]

So:

[tex]DB = 8 + 8[/tex]

[tex]DB = 16[/tex]

Solving (e): [tex]AE[/tex]

To do this we consider [tex]\triangle ADE[/tex]

Using the tan formula

[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]

[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]

So:

[tex]\tan(37) = \frac{AE}{8}[/tex]

[tex]AE = 8 * \tan(37)[/tex]

[tex]AE = 6.03[/tex]

Solving (f): [tex]AC[/tex]

This is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

[tex]AC = 6.03 +6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Answer:

The answer is (-9)

Step-by-step explanation:

The solution is, the result of the division is 1.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

(-15)-(-18)

now we have to divide this by 3

so, we get,

(-15)-(-18) /3

now,

(-15)-(-18)

= -15 + 18

=3

so, we have,

(-15)-(-18) /3

=3 /3

=1

Hence. The solution is, the result of the division is 1.

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Answer: 4 over 5 is not a whole number and so it cannot be expressed as a whole number.

Step-by-step explanation:

Answer:- 1/100 degrees Fahrenheit

Step-by-step explanation:

The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.

Answer:

A

Step-by-step explanation:

There are 8 consonants (not including y) and only 6 vowels (not including y), so Rosa has a higher probability of winning.

The game is not fair because the probability of Hank drawing a winning letter is less than the probability of Rosa drawing a winning letter.

'Probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes to the total number of outcomes.'

According to the given problem,

There are 8 consonants (not including y) and only 6 vowels (not including y), so Rosa has a higher probability of winning.

Hence, we can conclude that the game is not fair the probability of Hank drawing a winning letter is less than the probability of Rosa drawing a winning letter.

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Answer:

c)

Step-by-step explanation:

Answer:

√{9×81×9}=√(9²×9²)=±(9×9)=±81

Answer:

your answer will be 81

Step-by-step explanation:

.......

Answer:

1. Baseball

2. Soccer ball

3. Football

Explantion:

Speed = Distance / time

Baseball --> 1270/32 = 39.69

Football --> 1199/44 = 27.25

Soccer ball --> 1270/44 = 28.86

Answer:

1. Baseball

2. Soccer ball

3. Football  

Formula= Speed = Distance / time

Baseball in fraction form is 1270/32 and in decimal form is 39.69

Football in fraction from is 1199/44 and in decimal form is 27.25

Soccer ball in fraction form is 1270/44 and in decimal 28.86

Hope this helps <3 Need thanks? Comment /hearthelp

Answer:

B) 3x^2+6x+4

Step-by-step explanation:

(6x+7+x^2)+(2x^2-3)

6x+7+x^2+2x^2-3

3x^2+6x+7-3

3x^2+6x+4

The sum of the polynomials is 3x² + 6x + 4.

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given are two polynomials whose sum has to be found.

(6x + 7 + x ²) and (2x² - 3).

The sum of the polynomials is,

(6x + 7 + x ²) + (2x² - 3)

We have to operate the like terms together.

= (6x) + (7 - 3) + (x² + 2x²)

= 6x + 4 + 3x²

= 3x² + 6x + 4

Hence the sum of the polynomials is 3x² + 6x + 4.

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Answer:

Angela's mistake is in step 1, she failed to change the sign when subtracting from both sides

Step-by-step explanation:

Equation given :

The correct solution should be :

3/4 - 3/4 + m = 5/4 - 3/4

m = 2/ 4

m = 1/2

Therefore failure to change the sign will result in a obtaining a wrong answer for the exercise.

m=1/2

hope this helps!

Answer:

(7,0)

Step-by-step explanation:

Answer:

Part B The manager of The Gadget Factory wants to make sure that the next shipment costs no more than $15,000. Write an inequality that shows the amount of money that can be spent. Graph the inequality on the number line. Let n=the amount of money spent.

Step-by-step explanation:

The inequality equation is n ≤ 15,000 , where n is the amount of money spent

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the amount of money spent be represented as n

And , the next shipment costs no more than $15,000

So , n ≤ 15,000   be equation (1)

Therefore , the value of A is n ≤ 15,000 and the graph is plotted

Hence , the inequality equation is n ≤ 15,000

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Answer:

The increase is 15%

Step-by-step explanation:

Hope this helps!