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2 years ago

Ted is saving for a toy. He has no money now, but

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

6 0

Answer:

4D - 1

Step-by-step explanation:

So, if Ted saves $D for 4 weeks, then this amount will be equal to 4D because multiplication is simply repeated addition. We can imagine this situation as D+D+D+D, for the 4 weeks he is saving. We can simplify this to 4D in the expression.

Next, the question tells us that this will be 1 dollar more than needed. So, if we want to find the cost, we need to subtract that dollar.

Thus, the final expression is 4D - 1 because this represents 1 dollar less than the money he saves for 4 weeks.

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Equation of the line (-6,5) and (8,14) in standard form

blsea [12.9K]

Answer:

$\huge\boxed{9x-14y=-70}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, 5) and (8, 14).

Substitute:

$m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)$

Thew standard form of an equation of a line:

$Ax+By=C$

transform:

$y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70$

4 0

4 years ago

HELPPPP Write the equation of a line in slope intercept form with a slope of -3/4 and a y-intercept of -9.

Vanyuwa [196]

Answer:

y=-3/4x-9

Step-by-step explanation:

plz give brainliest!! hope this helps!

5 0

3 years ago

The product of two rational number is 7. If one of the number

FinnZ [79.3K]

Answer:

7/12 OR 0.58 (2.d.p)

Step-by-step explanation:

Product means that the two rational numbers are being multiplied to get 7.

The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':

r x 12 = 7

Rearrange to find r:

r x 12 / 12 = 7 /12

r = 7/12 = 0.5833....

= 0.58 (2.d.p)

Hope this helped!

7 0

3 years ago

Read 2 more answers

Mr. Brown shares with the class that 70% of the students got an A on the English vocabulary quiz. If Mr. Brown has 100 students,

mezya [45]

Answer:

a. $\frac{70}{100}$

b. 0.7

c. 0.7=70%= $\frac{70}{100}$

Step-by-step explanation:

70% of 100 received an A, that is 70/100 times 100 equal to 70

$\frac{70}{100}*100=70$

a. 70% = $\frac{70}{100}$

b. $\frac{70}{100}$ = 0.7

Notice that 70/100 is equal to 7/10 which is 0.7

c. 0.7=70%= $\frac{70}{100}$

5 0

4 years ago

PLEASE EASY HELP*****

frez [133]

Answer:

Step-by-step explanation:

Multiply through by x+5

2(x + 1) = x + 5 - 1 Combine like terms

2x + 2 = x + 4 Subtract 2 from both sides.

2x = x + 4 - 2

2x = x + 2 Subtract x from both sides.

2x - x = 2 Combine

x = 2

6 0

4 years ago

Read 2 more answers