Rita purchased two loaves of wheat bread. Each loaf was $1.89. How much
money did Rita spend in all? Do not include $ in your answer.

Answer:

[tex] \boxed{\sf Length \ of \ the \ rectangle = 16 \ cm} [/tex]

Given:

Area of the rectangle = 96 cm²

Length of the rectangle = 2 less than 3 times it's width

To Find:

Length of the rectangle

Step-by-step explanation:

Let the width of the rectangle be 'w'.

So,

Length of the rectangle = 3w - 2

[tex]\sf \implies Area \ of \ rectangle = Length \times Width \\ \\ \sf \implies 96 = (3w - 2) \times w \\ \\ \sf \implies 96 = 3 {w}^{2} - 2w \\ \\ \sf \implies 3 {w}^{2} - 2w = 96 \\ \\ \sf \implies 3 {w}^{2} - 2w - 96 = 0 \\ \\ \sf \implies 3 {w}^{2} - (18 - 16)w - 96 = 0 \\ \\ \sf \implies 3 {w}^{2} - 18w + 16w - 96 = 0 \\ \\ \sf \implies 3w(w - 6) + 16(w - 6) = 0 \\ \\ \sf \implies (w - 6)(3w + 16) = 0 \\ \\ \sf \implies w - 6 = 0 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: 3w + 16 = 0 \\ \\ \sf \implies w = 6 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: 3w = - 16 \\ \\ \sf \implies w = 6 \: \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: w = - \frac{16}{3} [/tex]

Width can't be negative. So,

Width of the rectangle = 6

Length of the rectangle = 3w - 2

= 3(6) - 2

= 18 - 2

= 16 cm

The length of the rectangle is 16 cm

The width of the rectangle is 6 cm

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be = 96 cm²

Let the length of the rectangle be = L

Let the width of the rectangle be = W

Now ,length of a rectangle is 2 less than 3 times its width

Substituting the values in the equation , we get

L = 3W - 2

Now , the area of the rectangle = L x W

So ,

96 = ( 3W - 2 ) x W

On simplifying the equation , we get

96 = 3W² - 2W

Subtracting 96 on both sides of the equation , we get

3W² - 2W - 96 = 0

3W² - 18W + 16W - 96 = 0

Taking 3W as the common factor , we get

3W ( W - 6 ) + 16 ( W - 6 ) = 0

( W - 6 ) ( 3W + 16 ) = 0

Now , the width of the rectangle cannot be negative , so

W - 6 = 0

Adding 6 on both sides of the equation , we get

W = 6 cm

Now , the length of the rectangle L = 3W - 2

L = 3 ( 6 ) - 2

L = 18 - 2

L = 16 cm

Therefore , the value of L is 16 cm

Hence , the length of the rectangle is 16 cm

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Answer:

[tex] \frac{105}{4} [/tex]

please see the attached picture for full solution..

hope it helps...

Good luck on your assignment..

Answer:

Slope = 2

Y intercept = 4

Step-by-step explanation:

This is of the form y = mx + k

where m is the slope

K = y intercept

Hello! (:

y=2x+4

This equation is written in slope-intercept form:

y=mx+b

m is the slope (2) and b is the y-intercept (4)

Hope it helps!

If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower[/tex]

Answer:

7.5 years

Step-by-step explanation:

P = $5000,

R = 4.25%,

A = $6593.75,

N =?

SI = A - P = 6593.75 - 5000 =$1593. 75

[tex] \because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \: [/tex]

Answer:

c  ≥ -5

Step-by-step explanation:

-5c +2 ≤ 27

Subtract 2 from each side

-5c +2-2 ≤ 27-2

-5c ≤25

Divide by -5, remembering to flip the inequality

-5c/-5 ≥25/-5

c  ≥ -5

Answer: [tex]x\geq 5[/tex]

Step-by-step explanation:

[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]

It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.

Hope it helps <3

Hey there! :)

Answer:

(x + 27)(x + 1)

Step-by-step explanation:

Given:

a² + 28a + 27

Find numbers that add up to 28 and multiply to 27:

We can find that the numbers 27 and 1 add up to 28 and multiply to form 27. Therefore, the equation in factored form is:

(x + 27)(x + 1)

Answer:

Solution,

[tex] {a}^{2} + 28a + 27 \\ = {a}^{2} + (27 + 1)a + 27 \\ = {a}^{2} + 27a + a + 27 \\ = a(a + 27) + 1(a + 27) \\ = (a + 27)(a + 1)[/tex]

Hope this helps..

Good luck on your assignment..

Answer: 2, 4 then c=4 also and B for the next one :)

Step-by-step explanation: Giving away 100 points be the first to comment on my " question " stay tuned!

Answer:

67.5 degrees, and 112.5 degrees.

Step-by-step explanation:

Let's make the second angle "x"

Supplementary angles always add up to 180 degrees.

So the first angle is 45 degrees more than the second, so you do:

x+x+45=180

Solve that and you get 67.5. That is the second answer. To find the first answer, add 45 to that. The answer is correct. Please give me branliest.

Answer:

The answer is -8

Step-by-step explanation:

(3)(-4)=-12 (-2)(-2)=4

Answer: Step 4

Step-by-step explanation:

1. Define variable x as student signatures still needed  (Correct)

[tex]2)\ \dfrac{x+82}{426}[/tex]              (Correct)

3. 25% = 0.25      (Correct)

[tex]4)\ \dfrac{x+82}{426}\leq 0.25[/tex]      (Error)!

The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).

Answer:

In Step 4, the inequality should be StartFraction x + 82 over 426 EndFraction greater-than-or-equal-to 0.25.

                                         ¯\_     _/¯

      ( ﾉ ﾟｰﾟ)ﾉ                                                                                     ＼(ﾟｰﾟ＼)

Answer:

B

Step-by-step explanation:

dashed line above the shaded area, shaded area below dashed boundary line

Answer:

i cant read spanish. sorry

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

-3(x-1)+8(x-3)=6x+7-5x

-3x+3+8x-24=6x+7-5x

5x-21=x+7

4x=28

x=7

Answer:

x=7

Step-by-step explanation:

-3(x-1) + 8(x-3) = 6x + 7 - 5x

Distribute

-3x +3 +8x -24 = 6x +7 -5x

Combine like terms

5x -21 = x+7

Subtract x from each side

5x-x-21 = 7

4x -21 =7

Add 21 to each side

4x-21+21 = 7+21

4x = 28

4x/4 = 28/4

x=7

Answer:

Step-by-step explanation:

7 + 8 = 15

5 - 2 = 3

∴ 7 + 8 ÷ 5 - 2

= 15 / 3

= 5

Hope this helps

plz mark as brainliest!!!!!!

Answer:

5

Step-by-step explanation:

:)

Answer: No. Choosing two dimes are dependent events. The probability of choosing the first dime is 1/4 and the probability of choosing the second dime is 1/7. The probability that both coins are dimes is (1/4)(1/7) = 1/28.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/8×1/7=1/28

Answer:

Bottle A started with 88 and bottle B started with 40

Step-by-step explanation:

To find out what they started with I got the ounces they finished with an the equation they did to get there.

Ended in 64 oz.

To get there:

A => B

B => A

A => B

Every time a pour is made the bottle to the right is doubled so I got 64 and divided it by 2 to see what B had before the pour of bottle A.

B had 32 oz. and A had 96 oz. before the last pour. I got 96 oz. because for them to end up with 64 oz. A has to have 32 oz. + 64 oz. since you are pouring 32 oz. into bottle B.

Now you have this equation:

A => B

B => A

96 oz. => 32 oz.

64 oz.

I then do the same thing I did to find 96 and 32. Since B is giving to A now it has to have more then A but it has to end up with 34 oz. for this is got 96 oz. and I divided it by 2 which got me 48. So on the second pour A started with 48 and B had to have given A 48 plus have 32 so it could end up with 34 therefore making it have 80 oz.

Now you have this equation:

A => B

80 oz. => 48 oz.

96 oz. => 32 oz.

64 oz.

For the last part to get the first ounces to answer the question you will do the same steps. Get half of 80 to see what B had before the 2nd pour which will be 40 and then you have to get 48 + 40 sine bottle A has to have the same amount of soda as B plus 48 oz. that it ends up with. This will have bottle A as 88 oz.

The Answer:

88 oz. => 40 oz.

80 oz. => 48 oz.

96 oz. => 32 oz.

Both will end up with 64 oz.

Answer:

15

Step-by-step explanation:

[tex]y = 4x + 15 \\ equating \: it \: with \\ y = mx + b \\ we \: find \\ b = 15 \\ \implies \: y - intercept = 15[/tex]

Answer:

Y intercept = 15

Step-by-step explanation:

Formula we use,

→ y = mx + b

→ b = y intercept

Then the y intercept will be,

→ y = mx + b

→ y = 4x + 15

→ [ b = 15 ]

Thus, required answer is 15.

Answer:

6x³ - 4x² - 8x - 16

Step-by-step explanation:

Step 1: Distribute the 2x

6x³ + 8x² + 8x

Step 2: Distribute the -4

-12x² - 16x - 16

Step 3: Combine the 2 distributions

6x³ + 8x² + 8x - 12x² - 16x - 16

Step 4: Combine like terms

6x³

8x² - 12x² = -4x²

8x - 16x = -8x

-16

Step 5: Rewrite

6x³ - 4x² - 8x - 16

━━━━━━━☆☆━━━━━━━

▹ Answer

6x³ - 4x² - 8x - 16

▹ Step-by-Step Explanation

(3x² + 4x + 4) (2x - 4)

Distribute

3x²(2x - 4) + 4x(2x - 4) + 4(2x - 4)

Remove parentheses

6x³ - 12x² + 4x(2x - 4) + 4(2x - 4)

Collect like terms

6x³ - 12x² + 8x² - 16x + 8x - 16

6x³ - 4x² - 16x + 8x - 16

Solve

6x³ - 4x² - 8x - 16

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

y = 5  1/4

Step-by-step explanation:

For direct or inverse variation relation

relation between two variable and y can be expresses in form of

y = kx  where k is constant of proportionality .

Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality

__________________________________

Thus, let the inverse relation be

y = kx

given

when y = 6 then x = 8

we will plug this value in y = kx

6 = k*8

=>k = 6/8 = 3/4

Thus,

relation is

y = 3/4 x

we have to find y when x = 7 ,

lets put x = 7 in y = 3/4 x

y = 3/4 *7 = 21/4 = 5 1/4

Thus, when x = 7 then y = 5 1/4

Answer:

(6,2)

Step-by-step explanation:

y=-1/2x+5

y=2x-10​

-1/2 x+5 =2x-10  to find the solution y=y ( point of intersection of two lines)

-1/2 x-2x = -10-5 solve for x

-5/2 x=-15

x=-30/-5=6

y=2x- 10 substitute  x in the equation to get y

y=2(6)-10

y=2

(2,3)

Dont put the other answer, it’s wrong I

did the math.

Answer:

C. 3√7

Step-by-step explanation:

As we know, the product of projections is equal to square of altitude in the right triangle. Applied to the given triangle, we get:

Choice C. 3√7 is the correct one

Answer: C. 3√7

Step-by-step explanation:

Answer:

a ) [tex]2 / n[/tex],

b ) [tex]15[/tex]

Step-by-step explanation:

This is a nice and short question we have here.

Given that a bag has n counters, and that one counter is blue, respectively the rest is red, if two counters are taken at random there isn't a definite percentage that one of the counters chosen is red or blue, but there is a fractional representation of this.

We could express n ( number of counters ) to form a probability of 2 / n. As you can see, two counters are taken at random over n counters, and thus we derived this fraction.

a ) [tex]2 / n[/tex]

____

Now we have this second part -

[tex]2 / n = 2 / 16,\\16 - 1 = 15[/tex]

Therefore, there are 15 red counters. Hope that helps!

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

Amad had done no error. His conclusion is true.

Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.

For example,

In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.

Sides: AB = PQ, BC = QR and AC = PR;

Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.

Therefore, Δ ABC ≅ Δ PQR

The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.

As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.

Hence, Amad had not made any error.

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Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

Answer:

Question 1:

a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.

b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.

Question 2:

a. The dashed line reaches the bottom at 15:30 so the answer is C.

b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.

Question 3:

The answer is C because after the distance from the starting point increased, it then decreased and came back to the original point suggesting that he walked, turned around and walked back to the starting point.

Answer:

first page : a) A because it is the shortest time with no stop

b) C the graph goes up and return to the start point after a while

second page : it is at 3:30 0r 15:30

b): 8 km going to schools and 8 coming back is 16

third page it is C because he walk up a certain distance and come back to the starting point

The two squares and the shaded region of square A is in the attachment.

Answer: The shaded region of A is 12.5% of the area of B.

Step-by-step explanation: Assume that the length of side of square A is a and the length of side of square B is b.

Length a is half (50%) of length b:

a = [tex]\frac{b}{2}[/tex]

The shaded region is a triangle. The area of a triangle is: A = [tex]\frac{b.h}{2}[/tex]

b and h are the sides of the square A, so:

[tex]A_{1}[/tex] = [tex]\frac{\frac{b}{2}.\frac{b}{2}}{2}[/tex]

[tex]A_{1} = \frac{b}{2}.\frac{b}{2}.\frac{1}{2}[/tex]

[tex]A_{1} = \frac{b^{2}}{8}[/tex]

Area of square B is:

[tex]A_{2}[/tex] = b.b

[tex]A_{2} = b^{2}[/tex]

Comparing areas:

[tex]\frac{\frac{b^{2}}{8} }{b^{2}}[/tex] = [tex]\frac{b^{2}}{8}.\frac{1}{b^{2}}[/tex] = [tex]\frac{1}{8}[/tex]

As percentage:

[tex]\frac{1}{8}[/tex] × 100 = 0.125 × 100 = 12.5%

Comparing the shaded region of A to square B, the area of the first is 12.5% smaller than the second.

Answer:

B. 3\sqrt(x)-2

Step-by-step explanation:

A polynomial cannot have a variable in the denominator

A constant is a polynomial

3\sqrt(x)-2 and this cannot be simplified to get rid of the variable in the denominator so it is not a polynomial

Answer:

C. x>4

Step-by-step explanation:

3/(x-4) > 0

3>0, so

x-4 >0

x > 4

Answer:

For the drop down menu:

i) x + y

ii) z²

iii) ½ xy

The complete question related to this found on brainly (ID:16485977) is stated below:

Mario writes the equation (x+y)² = z² +4( 1/2 xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

_____finds the area of the outer square by squaring its side length.

_____finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

Find attached the diagram of the question.

Step-by-step explanation:

Pythagoras theorem is a formula that shows the relationship between the sides of a right angled triangle.

Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

From the diagram of the question.

Hypotenuse = z

Opposite = y

Adjacent = x

z² = x² + y²

Area of outer square = area of inner square + 4(area of triangles)

area of inner square = length² = (x+y)²

Expanding area of the outer square:

(x+y)² = (x+y)(x+y) = x²+xy+xy+y²

(x+y)² = x²+y²+2xy

= z² + 2xy

Area of inner square = length² = z²

Area of triangle = ½ base × height

= ½ × x × y = ½ xy

Area of outer square = area of inner square + 4(area of triangles)

(x + y)² = z² + 4(½xy )

Therefore, it is a true equation.

( x + y )² finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

So for the drop down menu:

i) x + y

ii) z²

iii) ½ xy