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3 years ago

Which expression is equivalent to -8(5m - 7.4)?

2 answers:

8 0

I would said B !

Explanation: start with solving what’s in the parenthesis then multiply -8 which gives you the answer of 19.2 ! Then solve all your answer choices and find the one that matches and it was B .

IgorLugansk [536]3 years ago

3 0

B because you multiply -8*5m and then -8*-7.4 getting you -40+59.2

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klemol [59]

If the scale factor is 1/5, then the area of the preimage is multiplied by 0.2 or 1/5 to calculate the area of the new image.

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2 years ago

8. Find GH, E 3-4 HY - H 2 3x - 4 G SI F 9x - 59 D

Ostrovityanka [42]

Answer:

GH= 47

Step-by-step explanation:

$2(3x - 4) = 9x - 59$

$6x - 8 = 9x - 59$

$6x - 9x = - 59 + 9$

$\cfrac{ - 3x}{ - 3} = \cfrac{ - 51}{ - 3}$

$x = 17$

$gh = 3(17) - 4$

$51 - 4$

$= 47$

8 0

3 years ago

Explain how you would write 423,090,709,000 in word form

inessss [21]

In word form is: Four hundred twenty three billion, ninety million, seven hundred nine thousand.

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3 years ago

Read 2 more answers

PLZ HELP ME! Whoever gets it right will be marked brainiest

Brut [27]

Answer:

Probability that Hannah only has to buy 3 or less boxes before getting a prize is 0.784

Step-by-step explanation:

Given, 40% of cereal boxes contain a prize

⇒probability of getting a prize on opening a box, P(A)=0.4

where A is the event of getting a prize on opening a cereal box

and probability of not getting a prize on opening a box, P(A')=1-P(A)=0.6

where A' is the event of not getting a prize on opening a cereal box

This problem needs to be divided into 3 situation:

Case 1, Where Hannah gets prize when she buys the first box:

Let K be the event of Hannah winning the prize on buying the first box.

⇒P(K)=P(A)=0.4

Case 2, Where Hannah gets prize when she buys the second box:

In this event Hannah should not get the prize in first box but should get the prize on buying the second box

Let L be the event of Hannah winning the prize on buying the second box

So, P(L)=P(A')·P(A)

=(0.6)·(0.4)

=0.24

Case 3,Where Hannah gets prize when she buys the third box:

In this event Hannah should not get the prize in first and second box but should get the prize on buying the third box

Let L be the event of Hannah winning the prize on buying the third box

So, P(L)=P(A')·P(A')·P(A)

=(0.6)·(0.6)·(0.4)

=0.144

Let N be the event of Hannah winning the prize on buying 3 or less boxes before getting a prize

⇒N=K∪L∪M

Now, Required probability is P(N)=P(K∪L∪M)=P(K)+P(L)+P(M) [As events K,L and M are independent and disjoint events]

⇒P(N)=0.4+0.24+0.144

=0.784

7 0

3 years ago

Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.

Tems11 [23]

Answer: (a) y = -3x + 10

$\bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}$

Step-by-step explanation:

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

$m=\dfrac{1-0}{3-0} = \dfrac{1}{3}$

Step 2: Find the slope of CD (opposite and reciprocal of OB)

$m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3$

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9 distributed -3 into (x - 3)

y = -3x + 10 added 1 to both sides

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD. The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x subtracted 10 from both sides

$\dfrac{10}{3}=x$ divided both sides by -3

3 0

3 years ago