Solve by substitution
y=2x-3
-x-8y=7

Answer:

A) 27.7

B) 45

Step-by-step explanation:

A) 6 + 9 + 6 + __ = 6.7

To find the other end of the triangle, you would use a² + b² = c².

As shown, one end of the triangle is 6. To find the next end of the triangle, subtract 9 - 6 = 3. So now solve 6² + 3² = c². 36 + 9 = 45. √45 = 6.7. Therefore, the perimeter of the shape is 6 + 9 + 6 + 6.7 = 27.7.

B) Area of the square + area of the triangle = total shape area

6 x 6 = 36 (The area of the square portion of the shape)

6 x 3 = 18 ÷ 2 = 9 (The area of the triangle is half of the area of a rectangle)

36 + 9 = 45

Answer:

Measure of angle B is 70°.

Step-by-step explanation:

From the given right triangle ABC,

Sin B = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{AC}{AB}[/tex]

         = [tex]\frac{4.8}{5.1}[/tex]

     B = [tex]\text{Sin}^{-1}(\frac{48}{51} )[/tex]

         = [tex]\text{Sin}^{-1}(0.94118 )[/tex]

         = 70.25

m∠B ≈ 70° [Nearest degree]

Therefor, measure of angle B is 70°.  

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})[/tex]

First, we need to FOIL out this expression, then we can simplify it

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22[/tex]

The simplified expression after you multiply (square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6.

To solve the given expression that needs you to multiply, let's first simplify the individual terms:

Square root of 10: √10

Square root of 8: √8 = √(4 x 2) = 2√2

Now, let's substitute these values into the expression:

(√10 + 2√8)(√10 - 2√8)

Using the distributive property, we can expand this expression as follows:

= (√10 x √10) - (√10 x 2√8) + (2√8 x √10) - (2√8 x 2√8)

= 10 - 2√80 + 2√80 - 4 x 8

= 10 - 16

= -6

Therefore, the simplified expression in square root is -6.

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Answer:

C. A translation and a dilation

Step-by-step explanation:

Of course it has to be a dilation as the size is obviously different. So that takes D out of the question. The angles are in the same spots as B is still at the highest on both triangles and so does A. Which means it just translated (moved/slide) to the right and up a bit.

There's only one system of equations here.

Let's eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into  x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

Got lucky on that one.  

z = -1 - y = -1 - 2 = -3

x = -1 + y - z = -1 + 2  - -3 = 4

Answer: x=4, y=2, z= -3

Check:

x-y+z = 4 - 2 + -3 = -1, good

x+y+3x = 4+2+3(-3) =  -3, good

2x-y+2x = 2(4)-2+2(-3) = 0, good

After solving three equations, the result is x=4, y=2, and z=-3.

Therefore,

Eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

z  = -1 - y

Simplifying the above equation then we get,

= -1 - 2

Z  = -3

x  = -1 + y - z

Substitute the value y and z the above equation,

= -1 + 2 - (-3)

Then we get

X  = 4

Hence, The value of x = 4, y = 2, and z = -3

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Answer:

D. [tex] 3.77 \times {10}^{7} [/tex]

Step-by-step explanation:

Number of more people living in California than in Maine =

[tex]3.9 \times {10}^{ 7} - 1.3 \times {10}^{6} \\ = 39 \times {10}^{ 6} - 1.3 \times {10}^{6} \\ = 37.7 \times {10}^{6} \\ = 3.77 \times {10}^{7} [/tex]

Answer:

12x+4y=132

Step-by-step explanation:

Just substitute the numbers in then substitute the others in, 12 times 6 and 4 times 15 then add the two together

Answer:

a.ABCD is reflected over both axes.

Step-by-step explanation:

Reflection over x-axis transforms point (x, y) into (x, -y)

Reflection over y-axis transforms point (x, y) into (-x, y)

Then, reflection over both axes transforms point (x, y) into (-x, -y). Applying this rule to figure ABCD:

A (-2, 2) -> (2, -2) which corresponds to point A'

B (-1, 2) -> (1, -2) which corresponds to point B'

C (-1, 1) -> (1, -1) which corresponds to point C'

D (-3, 1) -> (3, -1) which corresponds to point D'

Answer:

It is a

Step-by-step explanation:

hope this helps

Answer:

441 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a square and rectangle = bh

Square

Base = 15

Height = 15

15 x 15 = 225

Rectangle

Base = 24

Height = 9

24 x 9 = 216

Add them together

216 + 225 = 441

Answer:

3/4+m=-7/4

3+4m/4=-7/4

4*(3+4m) =4*-7

12+16m=-28

16m=-28-12

m=-40/16

m=10-/4

Answer:B,C, and E

Step-by-step explanation:

Answer:

569.6

Step-by-step explanation:

V=πr2h

3=π·7.382·10

3≈569.57729

Answer: 420 square inches

Step-by-step explanation:

24 * 35 = 840

840/2= 420

Answer:

420

Step-by-step explanation:

Answer:

(25/y)+4

Step-by-step explanation:

(25/y)+4

Quotient of 25 and y (25/y)

Four more (+4)

Answer: 7% of 500 is 35. The amount due is 535. 6.5% of 3,200 is 208. The amount due is 3408. 14.2% of 679 is 96.41. The amount due is 775.41.

Answer:

-4, 5, -19, 21.

Step-by-step explanation:

Hope this helps it was super confusing and i didnt rlly understand it. pls let me know if itss wrong and i will edit my answer. If right, mark be brainlist!

Answer: She used half of a pound of flour.

Step-by-step explanation:

The amount of flour she bought to bake some cookies = [tex]\dfrac{3}{4}\text{ of a pound}[/tex]

Since, she used [tex]\dfrac{2}{3}[/tex] of the amount to bake her delicious chocolate chip cookies that means , the amount of flour she used would be

[tex]\dfrac{2}{3}\times\text{amount of flour she bought}\\\\=\dfrac{2}{3}\times\dfrac{3}{4}\text{ of a pound}\\\\=\dfrac{1}{2}\text{ of a pound.}[/tex]

Hence, she used half of a pound of flour.

Answer: Kyra must earn at least 100% on the final exam.

Step-by-step explanation: Kyra's scores have been accumulating from Q1 to Q4 and then the mid term exam. Her scores are outlined as follows;

Q1 = 92, Q2 = 85, Q3 = 88, Q4 = 84, mid-term = 89.

Observe carefully that the data set (number of observed data) is 5.

What she needs now is a final average score of at least 90% after her final exam. She can use this to determine what she needs to score in her final exam. In other words, now that she has a average score, all she needs is a total of all her scores up till her final exam. Note that after writing her final exam, the data set would be six and no longer five.

Before writing her final exam, Kyra's average score was calculated as;

Average = (92 + 85 + 88 + 84 + 89)/5

However after she must have written her final exam, her average would be calculated as;

Average = (92 + 85 + 88 + 84 + 89 + x)/6

Where average is given as 90 and x is the final exam score, you now have

90 = (438 +x)/6

90*6 = 438 + x

540 = 438 + x

Subtract 438 from both sides of the equation

102 = x

Therefore from the results shown, Kyra must score up to 102% in her final exam. However, knowing that she cannot obtain a score higher than 100%, we can conclude that she must score nothing less than 100% (a hundred percent) in her final exam.

Answer:

a) £231

b) £52.80

Step-by-step explanation:

a) 210x1.1=231

b) 48x1.1=52.80

A. will be sell at £231

B. will be sell at £52.8

Answer:

9 cm

Step-by-step explanation:

Answer:

3. 4

Step-by-step explanation:

i think

Answer:

X<-11/2

Step-by-step explanation:

Hope I helped:)

The inequality 2(4x+1)<3(2x-3) is x=-11/2

We have given that,

[tex]2\left(4x+1\right) < 3\left(2x-3\right)[/tex]

We have to determine the value of the x

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

[tex]8x+2 < 6x-9[/tex]

Subtract 2 from both sides

[tex]8x+2-2 < 6x-9-2[/tex]

Simplify

[tex]8x < 6x-11[/tex]

subtract

[tex]8x-6x < 6x-11-6x[/tex]

Simplify

[tex]2x < -11[/tex]

divide 3 both sides by 2

x=-11/2

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Answer:d

Step-by-step explanation:

the answer us d becasue you have to add all the sides together

Answer:

could  you provide the entire question?

Step-by-step explanation:

sorry!

Answer: 8/9n - 1 1/3

BTW * MEANS TIMES

Step-by-step explanation:

Given that:   4/9(2n - 3) .....[1]

The distributive property says that:

a * (b + c) = a * b + a* c

Apply the distributive property in equation [1] we get;

4/9 *  2n + 4/9 * (-3)

Simplify:

8/9n - 4/3

We can write 4/3  in mixed fraction as:

4/3 = 1 1/3

then;

8/9n - 1 1/3

Therefore, the expression which is equivalent to 4/9(2n - 3)  is, 8/9n - 1 1/3

So the right answer is 3/14

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

x=3/14

Step-by-step explanation:

Determine the fined range.

Cross multiply.

Remove parenthesis.

Move the terms.

Collect like terms.

Subtract.

Divide both sides by 14.

Check if the solution is in the defined range.