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Solve the two-step equation

- 3x - 21 = 27

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Answer:

m∠1 = 70

Step-by-step explanation:

A line is 180 degrees

The angles of a triangle total to 180 degrees

180 - 101 = 79

79 + 31 = 110

180 - 110 = 70

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

Answer:

D

Step-by-step explanation:

it's self explanatory

12 is being decreased by 2x (x is a variable for a number)

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.

Answer:

10

Step-by-step explanation:

3/ 8 is 0.375 while 15/4 is 3.75

so I divide 3.75 by 0.375 which is now 10 the answer is 10 bags

Answer:

22

Step-by-step explanation:

(33/4)÷(3/8)

=8.25/.375

=22

Answer:

152 US quarts

Step-by-step explanation:

4 x 38 = 152

quarts = 4 of something

Answer:

152

Step-by-step explanation:

38 x 4 = 152

Answer:

an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

Answer:

1/3

Step-by-step explanation:

H3,H4,H5,H6

p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6

=4×1/2×1/6=1/3

Answer:

Step-by-step explanation:

1 Escritura unida

Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]

el bajorrelieve, los bajorrelieves

la mediapunta, las mediapuntas

En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:

el puercoespín, los puercoespines; el puerco espín, los puercos espines

el arcoíris, los arcoíris; el arco iris, los arcos iris

el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.

el pavorreal, los pavorreales; el pavo real, los pavos reales

La Gramática prefiere, como norma general, la forma en una palabra.

Answer:

152

Step-by-step explanation:

blue -- 8 x 2 = 16 x 2 = 32

green -- 8 x 6 = 48 x 2 = 96

red -- 6 x 2 = 12 x 2 = 24

96 + 24 + 32 = 152

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.

Answer:

A(b) = 145,34 m²

Step-by-step explanation:

Area of the square of side l = 26 m    A(s) = l²      A(s) = (26)²

A(s) = 676 m²

Areaof the circle of radius r = 13  A(c) = π*(r)²  A(c) = π*(13)²

A(c) = 169*π  m²

Then the area outside the circle and inside the square  A(b), is the difference between the area of the square minus the area of the circle, that is:

A(b) = A(s)  -  A(c)  =  676  - 169*π    m²

A(b) = 676  -  530,66  m²

A(b) = 145,34 m²

so B should be the answer

Step-by-step explanation:

account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also

Answer:

($42 × 7)  - ($8.25 × 8)

Step-by-step explanation:

Given that

Mike saves $42 a week for 7 weeks

And, his 8 day vacation, he plans to spend $8.25 each day

We need to find out the expression of how much he would have left

So,

Since the amount $42 is for a week

So for 7 weeks, it would be

= $42 × 7

And, he spends $8.25 each day,

And, for 8 days, it would be

= $8.25 × 8

So, the expression is

= ($42 × 7)  - ($8.25 × 8)

Answer:

If the percentage is 20%, the down payment is $177,100

If the percentage is 10%, the down payment is $88,550

Step-by-step explanation:

This is a terrible question, in my opinion, unless they gave more information at the top of the page. A down payment on a house can be anywhere from 3.5% to 20%

Let's go with the 20%

885,500 x 0.20 = 177,100

Answer:

#1

#2

#3

#4

#5

70ft is the answer I think

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something

Answer:

100, 15, 24 I think that is it

Step-by-step explanation:

Answer: 100, 24, 15

Step-by-step explanation:

28+100= 128, 128>42

28+24=52, 52>42

28+15=43, 43>42

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

For more such questions on metal rod

https://brainly.com/question/14071390

#SPJ8

Answer:

56m

Step-by-step explanation:

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)

Answer:

(-2.5, 1) and (0.5, 5)

Step-by-step explanation:

The main idea is to divide the line into four segments.

so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).

then you find the midpoint again between (-4, -1)  (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).

Answer: 38/9

Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56