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1 year ago

((6x-8)-2x)-((12x-7)-(4x-5))

Mathematics

1 answer:

KengaRu [80]1 year ago

6 0

Answer:

-12x + 4

Step-by-step explanation:

(6x - 8 - 2x) - (12x - 7) - (4x - 5)

The subtraction sign before the parenthesis is basically multiplying by -1, so the subtraction signs in the parenthesis have to change to addition. After that, you can remove the parenthesis.

6x - 8 - 2x - 12x + 7 - 4x + 5

Simplified = -12x + 4

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You have 8 times as many dimes as nickels. You have 18 dimes

fenix001 [56]

Answer:

$1.70

Step-by-step explanation:

Let the number of nickels be $x$ .

Thus, by the problem statement, the number of dimes is [/tex] 8 \cdot x = 8x. [/tex]

Therefore, there are $8x + x = 9$ coins in total. To find what $x$ is, we need to solve the equation $9x = 18.$ This can be done by dividing both sides by $9$ which gives $x=2$ . Plugging these values in tells us that there are $2$ nickels and $16$ dimes. (Test it out!) Thus, the nickels are worth $2 \cdot 5 = 10$ cents and the dimes are worth $16 \cdot 10 = 160$ cents, so in all, you have $10 + 160 = 170$ cents which is $1.70.

Hope this helps :)

7 0

1 year ago

Unit 4 Test, Part 2: Congruence and Constructions<br> Help with my math please

lakkis [162]

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

$\overline{NM} = 20$

$\overline{MK} = 15$

$\overline{KN} = 25$

$\overline{TR} = 3x - 1$

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to $\overline{TR}$ is $\overline{NM}$ . Thus:

$\overline{TR}$ ≅ $\overline{NM}$

c. Since $\overline{TR}$ ≅ $\overline{NM}$ , therefore:

$\overline{TR} = \overline{NM}$

$3x - 1 = 20$ (substitution)

Add 1 to both sides

$3x = 20 + 1$

$3x = 21$

Divide both sides by 3

$x = \frac{21}{3}$

$x = 7$

2. a. Slope of LK = $\frac{rise}{run} = \frac{4}{3}$

Slope of LM = $\frac{rise}{run} = -\frac{3}{5}$

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

$Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}$

$Lk = \sqrt{(3)^2 + (4)^2}$

$Lk = \sqrt{9 + 16}$

$Lk = \sqrt{25}$

$Lk = 5$

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

$LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}$

$LM = \sqrt{(5)^2 + (-3)^2}$

$LM = \sqrt{25 + 9}$

$LM = \sqrt{34}$

$LM = 5.8$ (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

8 0

3 years ago

In a certain store, the regular price of a refrigerator is$600. How much money is saved by buying this refrigeratorat 20 percent

Ira Lisetskai [31]

Correct option is A. Money saved is ′ $6 ′ .

Given

Regular price of the refrigerator = $600

i) Buying the refrigerator at 20 percent off regular price

Final Discount in this case = 20% (Regular price of the refrigerator)

= 20 / 100 × 600

= $120

ii) Buying it on sale at 10 percent off regular price and an additional 10 percent off sale price

Discount for the sale = 10% (Regular price of the refrigerator)

= 10/100 × $600

= $60

Sale price of the refrigerator = Regular price of the refrigerator − Discount for sale

= $600 − $60

= $540

Final Discount in this case = 10% (Sale price of the refrigerator)

= 10/100 × $540

= $54

Money saved if we buy as (case−i) = (Final Discount in (case.i)) − (Final Discount in (case.ii))

= $60 − $54

= $6

Therefore, Money saved is ′ $6 ′ .

To learn more about percentage from given link

brainly.com/question/24304697

#SPJ4

4 0

1 year ago

The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equat

beks73 [17]

Answer:

Width = 16 m

Length = 4 m

Step-by-step explanation:

The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x

Area of a rectangle = Length × Width

L = W - 12

Hence:

64 = (W - 12) × W

64 = W² - 12W

W² - 12W - 64 = 0

Factor using

(W + 4)(W - 16) = 0

Width = 16m

Length = W - 12

Length = 16 m - 12 m

= 4 m

6 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!

expeople1 [14]

Answer:

Step-by-step explanation:

2nd one

6 0

3 years ago