Which equation has the same solutions as x^2+6x−7=0?
Question options:
(x+3)^2=2
(x−3)^2=2
(x+3)^2=16
(x−3)^2=16

Answer:

4 * (3 + 2 ) - 6 ÷ 1 = 14

*, +, -, ÷

Step-by-step explanation:

Remember PEMDAS:

P - parenthesis

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

So, (3 +2) = 5

5 * 4 = 20

20 ÷ 1 = 20

20 - 6 = 14

Hope I helped! C:

Answer:

x=12

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Given

- x + 5x = 48, that is

4x = 48 ( divide both sides by 4 )

x = 12

Jenny need 166 square inches of wrapping paper to wrap the present.

Solution:

Length of the box = 4 in

Breadth of the box = 5 in

Height of the box = 7 in

Surface area of the box = 2(lb + bh + lh)

                                        = 2( 4 × 5 + 5 × 7 + 4 × 7)

                                        = 2(20 + 35 + 28)

                                        = 2(83)

Surface area of the box = 166 in²

Hence Jenny need 166 square inches of wrapping paper to wrap the present.

Answer:

166

Step-by-step explanation:

Base area of the cuboid = 24 square inches

Solution:

Volume of cuboid formula = length × breadth × height

Ratio of l : b : h = 3 : 2 : 1

Let us take length be 3x, breadth be 2x and height be x.

Volume of cuboid = 48 cubic meter

length × breadth × height = 48

[tex]3x\times 2x \times x = 48[/tex]

[tex]6x^3=48[/tex]

Divide by 6 on both sides of the equation.

[tex]x^3=8[/tex]

[tex]x^3=2^3[/tex]

Taking cube root on both sides, we get

x = 2

Base area of the cuboid = length × breadth

                                        = 3(2) × 2(2)

                                        = 6 × 4

                                        = 24

Base area of the cuboid = 24 square inches

Answer:

1/2

Step-by-step explanation:

A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.

Answer:

No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.

I hope this helps!

A rhombus is always a parallelogram, and its diagonals are perpendicular. Jake is incorrect in his assertion.

A rhombus is indeed always a parallelogram because a parallelogram is a quadrilateral with opposite sides parallel and a rhombus fits this definition.

To show that the diagonals of a rhombus are perpendicular, we use the fact that the scalar product of perpendicular vectors is zero. By representing the diagonals as vectors, we can demonstrate their perpendicularity.

Therefore, Jake is incorrect in thinking that a rhombus is not always a parallelogram - it is a specific type of parallelogram with additional properties.

Answer:

25%

Step-by-step explanation:

1200/960 = 1.25

So it grew by 25%

Answer:

36.1g

Step-by-step explanation:

29mi ..... 1 g

1047mi....x

x=1047×1/29=36.1g

Answer:

36.1 Gallons of gas

Step-by-step explanation:

x= gallons of gas

1047=29x

1047/29=x

36.1=x

36.1 gallons of gas

Answer:

points

Step-by-step explanation:

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Step-by-step explanation:

:0

Answer:

A. 243

Step-by-step explanation:

81 multiplied by 3

Answer:243

Step-by-step explanation: count by 3

Answer:

He multiplied the denominators incorrectly

Step-by-step explanation:

we know that

The volume of a rectangular prism is given by the formula

[tex]V=LWH[/tex]

we have

[tex]L=\frac{3}{4}\ ft\\\\W=\frac{5}{1}\ ft\\\\H=\frac{1}{2}\ ft[/tex]

substitute

[tex]V=(\frac{3}{4})(\frac{5}{1})(\frac{1}{2})=\frac{3*5*1}{4*1*2}=\frac{15}{8}\ ft^3[/tex]

therefore

He multiplied the denominators incorrectly

Answer:

B. He multiplied the denominators incorrectly.

Step-by-step explanation:

I did the test myself. Good luck with the rest of your test! Have a great day/night! <3

Answer:

[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]

Step-by-step explanation:

The given absolute value inequality is:

[tex]5 - |x + 4| \leqslant - 3[/tex]

Let us subtract 5 from both sides to get:

[tex] - |x + 4| \leqslant - 3 - 5[/tex]

We simplify to get:

[tex] - |x + 4| \leqslant - 8[/tex]

We divide through by -1 to get:

[tex]|x + 4| \geqslant 8[/tex]

By the definition of absolute value function,

[tex](x + 4) \geqslant 8 \: or \: - (x + 4) \geqslant 8[/tex]

Divide through the second inequality by -1 and reverse the inequality sign.

[tex](x + 4) \geqslant 8 \: or \: (x + 4) \leqslant - 8[/tex]

Subtract 4 from both sides of both inequalities.

[tex]x \geqslant 8 - 4 \: or \: x \leqslant - 8 - 4[/tex]

[tex]x \geqslant 4 \: or \: x \leqslant - 12[/tex]

Answer: 0.343

Step-by-step explanation:

6-2.657=3.343 subtract 3 you get 0.343

@jeff4967

Can you please add a picture

Answer: Judy: n+7500

Tommy: 3(n+7500)+6

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

You have 60 total, 30 on the track team would be 50%,  but there is only 15 on the track them, you cut the 50% in half again which gives 25%.

Answer:

  216°

Step-by-step explanation:

The difference between the bearing from B to A and the bearing from A to B is 180°. Here, the difference between the two bearings is ...

  6b -b = 180°

  b = 180°/5 = 36°

  6b = 6·36° = 216°

The bearing of Alton from Barking is 216°.

The requried system of inequalities that models this situation 6h + 8m < 200 and h + m < 40.

In mathematics, an inequality is a statement that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,
Let's use the variables h and m to represent the number of ham and meatball subs sold, respectively. Then the system of inequalities that models this situation is:

h + m < 40 (the deli sells less than 40 subs)

6h + 8m < 200 (the total amount for all sales is less than $200)

Learn more about inequality here:

brainly.com/question/14098842

#SPJ3

The situation is modeled by the system of inequalities h + m < 40 and 6h + 8m < 200, where h represents the number of ham subs and m represents the number of meatball subs sold.

The deli sells two types of subs: ham subs (h) for $6 each and meatball subs (m) for $8 each. The total number of subs sold on Monday is less than 40, and the total sales amount is less than $200. We are looking to model this situation with a system of inequalities.

To represent the scenario, we can use the following system of inequalities:

h + m < 40 (because the deli sells less than 40 subs)

6h + 8m < 200 (because the total amount for all sales is less than $200)

This system captures the constraints on both the number of subs sold and the total sales amount in dollars.

Answer: w= 1/5

Step-by-step explanation:

11/15=8/15 -w

-W= 8/15 -11/15

-w= 8-11/15 =-3/15

-w=-3/15

w=3/15= 1/5

Final answer:

The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.

Explanation:

If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.

Mike hiked 11.75 miles to the lake which took Pedro approximately 3.09 hours to cover at his speed.

The subject of this question is mathematics, more specifically the concept of speed, distance, and time. The first step is to calculate the distance that Mike travels. We know that distance equals speed times time, so Mike traveled 3.5 hours * 3 2/5 miles per hour, which equals 11.75 miles. This is the distance to the lake.

Now, we take the same distance and use Pedro's average speed to figure out how long it took him. Using the formula: Time equals Distance divided by Speed, we can calculate Pedro's time as: Time = 11.75 miles / 3 4/5 miles per hour. To simplify the numerical calculation, we turn 3 4/5 into a decimal form, which is 3.8. So, Time equals 11.75 miles / 3.8 miles per hour. This gives us around 3.09 hours, which we would round to 3.09 hours to the hundredths place.

https://brainly.com/question/4931057

#SPJ2

Answer:

x=-3

Step-by-step explanation:

-6x-3(1+5x)=-8(x-4)+4

Step 1. Distribute:

-6x-3-15x=-8x+32+4

Step 2. Combine like terms:

-21x-3=-8x+36

Step 3. Add to different sides:

-13x=39

Step 4. Solve for x:

x=-3

-

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Given Equation:

 [tex]-6x-3(1+5x)=-8(x-4)+4[/tex]

 [tex]-6x-3(1)-3(5x)=-8(x)-8(-4)+4\\\\-6x-3-15x=-8x+32+4\\\\-6x-15x-3=-8x+36\\\\-21x-3=-8x+36\\\\[/tex]

Adding '[tex]8x[/tex]' both the sides:

 [tex]-21x+8x-3=-8x+8x+36\\\\-13x-3=36[/tex]

Adding '3' both the side:

   [tex]-13x-3+3=36+3\\\\-13x=39\\\\x=\frac{39}{-13} \\\\[/tex]

     [tex]x=-3[/tex]

Answer:

36 degrees

Step-by-step explanation:

we know that

The measure of the angle between two consecutive vertices of a  regular polygon is given by the formula

[tex]\frac{360^o}{n}[/tex]

where

n is the number of sides

In this problem

n=10 (regular decagon)

so

[tex]\frac{360^o}{10}=36^o[/tex]

[tex]The \ midpoint \ formula \ of \ the \ line \ segment \\ that \ joins \ the \ two \ points \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ is \\ given \ by \ the \ following \ Midpoint \ Formula:\\ \\ Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

Then:

[tex]c=(\frac{3+5}{2},\frac{4+8}{2}) \\ \\ c=(\frac{8}{2},\frac{12}{2}) \\ \\ c=(4,6) \\ \\ \\ p=(\frac{3+7}{2},\frac{4+8}{2}) \\ \\ p=(\frac{10}{2},\frac{12}{2}) \\ \\ p=(5,6)[/tex]

So the slope of the line that passes through [tex]c \ and \ p[/tex] is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m_{cp}=\frac{6-6}{5-4}=0[/tex]

And the slope for BC is:

[tex]m_{BC}=\frac{8-8}{7-5}=0[/tex]

As you can see, both slopes are zero, so these are horizontal lines.

Answer:

A = $200(1 + .05/12)¹⁰⁸ = $313.37

Answer:

  Shop A is more expensive by $11.50 per hour

Step-by-step explanation:

I solved this three ways.

1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...

  Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours

  = $210 +105 = $315 . . . for 6 hours

This is way more than what Shop B charges for 6 hours.

__

2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.

__

3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.

  Shop A = $210/(4 h) = $52.50 /h

  Shop B = $246/(6 h) = $41.00 /h

The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.

_____

Comments on How Much More

* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.

Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.

If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.

Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.

The cost of 10 pints of blueberries, given their price per pound ($2.25), is $33.75.

The subject of this question is the cost of buying blueberries, given their price per pound. To find out the cost of 10 pints of blueberries, you first need to know how many pounds are in a pint. Given that approximately 1.5 pounds of blueberries make up a pint, you then multiply the number of pints, here 10, by 1.5 to get the total weight in pounds. Therefore, 10 pints is equivalent to 15 pounds of blueberries. You then multiply the total weight (15 pounds) by the cost per pound ($2.25) to get the total cost. Hence, 15 pounds multiplied by $2.25 equals $33.75. So, the cost of 10 pints of blueberries would be $33.75.

https://brainly.com/question/33521342

#SPJ12

Answer: I need to see it to help ya.

Step-by-step explanation: