The sum of two numbers is 26. The larger number is 5 more than twice the smaller. What are
the two numbers?

Answer:

(-2, 3) is one of many solutions to the system

Step-by-step explanation:

Let's actually solve the system so that we can compare the result with the given pair (-2, 3):

Multiplying the second equation by -2 results in:

2x + 4y = 8

-2x - 4y  = -8

We see that these equations are identical.  Thus, there are infinitely many solutions.  

1. is true:  (-2, 3) is one of many solutions to the system

The other three possible answers are incorrect.

Answer:

1) 22/20 = 1.1

2) 18/15 = 1.2

3) No, because they both are different values and their slopes are different.

Hope this helps :)

Brainliest?

Answer:

1.52500 times 10 minus 5 m4

Step-by-step explanation:

Answer:

12 ways?

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is 12.

This is because there are 4 toppings, and we have to make a 3-way topping pizza.

#teamtrees #PAW (Plant And Water)

Answer:

pi

a pie is equal to 22/7

do it is not a rational no

Answer:

Pattern A starts at 0 and uses the rule Add 2

Pattern B starts at 0 and uses the rule Add 3.

hope this helps

Answer:

If you meant describe the effects of translating Δ ABC to Δ A'B'C'.

D. Each x - coordinate decreased by 6 and each y - coordinate increased by

Use the coordinate A as an example it moves to the right 6 times(x increasing) and down 3 times (y decreasing)

Answer:

2

Step-by-step explanation:

The scale factor is 2 because every aspect of figure a doubled.

Answer:

Step-by-step explanation:

Figure B is 2 times the size of figure A

You can tell by counting the squares at the lines

Answer:

(-2,3)

Step-by-step explanation:

Answer:

12 is the area of the triangle, 4 x 6 = 24 divided by 2 = 12.

7.5 x 6 = 45

For the rectangle

Answer:

D) u=4 , v=2

Step-by-step explanation:

This is as 60 30 90 triangle.

One leg is x

Second is x sqrt 3

The hypotenuse is x(2)

So hope that helps

Answer:

aired water

Step-by-step explanation:

dunno sjdnsnwndnejeej hi

hello

Answer:

B. 3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3^2*(2^3+4)

-------------------

2^2

Parentheses first

(2^3+4) = (8+4) = 12

Replace the parentheses

3^2*(12)

-------------------

2^2

Then Exponents

9*(12)

-------------------

4

Multiply

108

-----

4

Divide

27

Answer:

area of square when given only diagonal is 1/2d×square so

1/2×3√2×3√2

=9 cm square

Step-by-step explanation:

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

Answer: C :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

None of the test scores in the data, displays one of the test scores being 55, but 49 is the closest to 55, but it's closer to 45, so therefore, we know that there isn't any test scores with the grade of 55!

Answer:energy is such thing which cannot be created nor be destroyed but can be change from one form to another.

51+(19+46)=51+65=116 is your answer

Answer:

A. [tex] \huge \purple { {(2 + 6)}^{ \frac{1}{2} } }[/tex]

Step-by-step explanation:

[tex] \huge \sqrt{2 + 6} \\ \\ \huge \red{= {(2 + 6)}^{ \frac{1}{2} } }[/tex]

Step-by-step explanation:

[tex]80 \div 100 \times 30 = \\ = 0.8 \times 30 = \\ = 24[/tex]

Answer:

answer is I'm guessing B.

Answer:

volume of rectangular prism is lxwxh volume of triangular prism is bxh÷2

Answer:

2970

Step-by-step explanation:

I hope it helped :) if it didnt just message me since in confused whats the dot between the 6.3 and 10²

Answer:

2.97*10^3

Step-by-step explanation:

You have to solve it first so you have 2970 as your answer but you want it in scientific notation. To do this put the decimal after the first number this gives you 2.970. Whenever you need to make the number bigger you use a positive power and whenever you want to make a number smaller you use a negative power. The amount of powers the 10 gets is the amount of times you move it over. You have 2.970 and to get to the original number you need to move it 3 places to the right. Going to the right with your decimal makes it bigger which what you want, so you have 2.970*10^3 as your answer.

Answer: $18.19

Step-by-step explanation:

Given

The original Price of the meal is [tex]\$20[/tex]

After a 15% discount, the price reduced to

[tex]\Rightarrow \text{Reduced Price}=20\times -20\times 0.15\\\Rightarrow \text{Reduced Price}=20[1-0.15]=20\times 0.85\\\Rightarrow \text{Reduced Price}=\$17[/tex]

After this, a sales tax is applied

So, there would be an increase in price

[tex]\Rightarrow \text{New Price}=17+17\times 0.07\\\Rightarrow \text{New Price}=17[1+0.07]=17\times 1.07\\\Rightarrow \text{New Price}=\$18.19[/tex]

So, the father pays an amount of [tex]\$18.19[/tex]

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

1)

x + 155 = 180

x = 25

2)

<4 = 155 because of vertical angle thm

3)

<5 = 25 (congruent to <1) b/c of corresponding angles thm

4)

<7 = <5 (25) because of vertical angles thm

5)

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

6)

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

7)

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

Answer:

$117.13

Step-by-step explanation:

Hope this answers your question and have a great day!

Answer:

log 8

Step-by-step explanation:

Answer:

1.

R= Number of orange juice cases.

G = Number of greapefruit juice cases.

T = Number of tomato juice cases.

Equations:

9R+10G+12T=398

6R+4G+4T=164

R+2G+T=58

2.

R=6

G=20

T=12

Step-by-step explanation:

1.

The problem is talking about three types of products and it wants us to find how many of each the factory prepares. Since this is the data we need to know, then we set them to be our variables:

R= Number of orange juice cases.

G = Number of greapefruit juice cases.

T = Number of tomato juice cases.

Next, we can use the provided information to build our equations. First, we start with the Sterilizing machine equation: 9 minutes for orange juice, 10 minutes for grape juice and 12 minutes for tomato juice. So we use the sterilizing values for each of the product, to build our first equation:

9R+10G+12T=398

next, we build the filling machine equation, so like on the previous equation, we use the provided data for filling to build the second equation:

6R+4G+4T=164

and finally we build the labeling machine equation so we get:

R+2G+T=58

so we need to solve the following system of equations:

9R+10G+12T=398

6R+4G+4T=164

R+2G+T=58

2.

The very first thing we need to do in order to solve this problem by using the Gauss-Jordan elimination method is to build our matrix based on the system of equations we got on the previous part.

[tex]\left[\begin{array}{cccc}9&10&12&398\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]

The idea is to end up with an identity matrix on the first three columns, that will directly give us the answer to the system of equations. So we can start by dividing the first row into 9: [tex]\frac{R_{1}}{9}[/tex] So we get:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\6&4&4&164\\1&2&1&58\\\end{array}\right][/tex]

Next, we can multiply the first row by -6 and add it to the second row to get the new second row. [tex]-6R_{1}+R_{2}[/tex]

so we get:

-6   -20/3   -8   -796/3

6     4          4      164

---------------------------------

0    -8/3    -4    -304/3

our matrix now looks like this:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\1&2&1&58\\\end{array}\right][/tex]

Next, we can subtract R3 from R1 so we get:

1   10/9   4/3   398/9

-1   -2     -1       -58

------------------------------

0    -8/9   1/3   -124/9

So the matrix looks like this now:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&-\frac{8}{3}&-4&-\frac{304}{3}\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Now, we can multiply the second row by -3/8 so we get:

[tex]\left[\begin{array}{cccc}1&\frac{10}{9}&\frac{4}{3}&\frac{398}{9}\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Now, we can subtract: [tex]R_{1}-\frac{10}{9}R_{2}[/tex] so we get:

0   -10/9   -5/3  -380/9

1      10/9    4/3   398/9

------------------------------

1        0       -1/3   2

So the matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&-\frac{8}{9}&\frac{1}{3}&-\frac{124}{9}\\\end{array}\right][/tex]

Next, we do the following operation: [tex]R_{3}+\frac{8}{9}R_{2}[/tex]

0      8/9      4/3 304/9

0      -8/9     1/3   -124/9

------------------------------

0       0         5/3   20

So our matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&\frac{5}{3}&20\\\end{array}\right][/tex]

We next multiply R3 by 3/5 so we get:

[tex]\left[\begin{array}{cccc}1&0&-\frac{1}{3}&2\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]

and now we do: [tex]\frac{R_{3}}{3}+R_{1}[/tex]

0         0      1/3       4

1           0     -1/3      2

------------------------------

1       0          0        6

So our matrix will now look like this:

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&\frac{3}{2}&38\\0&0&1&12\\\end{array}\right][/tex]

and now we do the following: [tex]R_{2}-\frac{3}{2}R_{3}[/tex]

so we get:

0         0      -3/2     -18

0         1       3/2      38

------------------------------

0        1          0        20

for our final matrix to be:

[tex]\left[\begin{array}{cccc}1&0&0&6\\0&1&0&20\\0&0&1&12\\\end{array}\right][/tex]

so now we can retrieve the corresponding answers:

R=6

G=20

T=12

Answer:

If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].

Step-by-step explanation:

Let [tex]p(x) = 2\cdot x^{2}-(m+3)\cdot x - 1[/tex], if [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]p(2) = 0[/tex]. That is:

[tex]2\cdot 2^{2}-(m+3)\cdot (2)-1 = 0[/tex]

[tex]8 - 2\cdot m -6 -1 = 0[/tex]

[tex]1 -2\cdot m = 0[/tex]

[tex]2\cdot m = 1[/tex]

[tex]m = \frac{1}{2}[/tex]

If [tex]p(x)[/tex] is divisible by [tex]x-2[/tex], then [tex]m = \frac{1}{2}[/tex].