Seven Grade Math
Explain Why

Answer:

Gradient is -2/3 and y-intercept is -5/3.

Step-by-step explanation:

First, you have to make y the subject by moving all the unrelated terms to the other side :

[tex]3y + 2x + 5 = 0[/tex]

[tex]3y = - 2x - 5[/tex]

[tex]y = - \frac{ 2}{3} x - \frac{5}{3} [/tex]

Next, given that the slope-form equation is, y = mx+b where m is the gradient and b is the y-intercept. (*In a slope-form equation, gradient will always stick with x)

In the equation above, m is -2/3 and b is -5/3.

Answer:

  d.  ZW

Step-by-step explanation:

Corresponding vertices are in the same order in the names of the quadrilaterals. That is P corresponds to Z; Q corresponds to W.

  PQ ≅ ZW

When Quadrilateral PQRS is transformed by rotation and translation to form Quadrilateral ZWXY, the lengths of corresponding segments remain the same. Thus, the length of segment PQ is the same as segment ZW.

In the realm of geometry, a rotation or translation doesn't change the size or length of a shape, only its position and orientation. Therefore, when Quadrilateral PQRS is rotated 90° counterclockwise about the origin and then translated 6 units to the right to form Quadrilateral ZWXY, all corresponding segments would still have the same lengths. Corresponding segments are those that have the same relative positions before and after the transformation. So, in this case, segment ZW has the same length as segment PQ because they are corresponding segments from the original quadrilateral and the transformed quadrilateral, respectively. Therefore, the answer is d. ZW.

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Answer:

106.4622 [tex]a^{3}[/tex]

Step-by-step explanation:

Given the information:

Use the pytagon theory to find the hypotenuse of the triangle

[tex]a^{2} + b^{2} = c^{2}[/tex]

<=>[tex]((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}[/tex]

<=>[tex](3a)^{6} + (4a)^{6} = c^{2}[/tex]  

<=> [tex]c^{2} = 4285a^{6}[/tex]

Take the square root of both sides

<=> c = 69.4622 [tex]a^{3}[/tex]

=> expression in simplest form for the perimeter of a right triangle is:

[tex](3a)^{3}[/tex] + [tex](4a)^{3}[/tex] + 69.4622 [tex]a^{3}[/tex]  

= 27[tex]a^{3}[/tex]  + 64[tex]a^{3}[/tex]  + 69.4622 [tex]a^{3}[/tex]  

= 106.4622 [tex]a^{3}[/tex]

Answer:

g=2

Step-by-step explanation:

6(2+g)=24

Expanding the parentheses:

12+6g=24

Subtracting 12 from both sides:

6g=12

Dividing both sides by 6:

g=2

Hope this helps!

Answer:

g=2

Step-by-step explanation:

1. Distribute the left-hand side:

12+6g=24

2. Subtract 12 from both sides:

    12-12+6g=24-12

= 6g=12

3. Divide both sides by 6:

g=2

Answer:

Step-by-step explanation:

Shape of the can is cylinder

r = 4 in

h = 15 in

Volume =πr²h

= 3.14* 4 * 4 * 15

=753.6 cubic inches

Answer: 3,017.5 cubic centimeters.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each cd case:

Volume of a rectangular prism= length x width x height

Replacing with the values given:

V = 14.2 x 12.5 x 1 = 177.5 cubic centimeters.

Since there are 17 cases in the stack, we have to multiply the volume one case by 17.

177.5 x 17 = 3,017.5 cubic centimeters.

Answer:

99°

Step-by-step explanation:

When straight lines intersect, vertical angles appear.

Vertical angles are ALWAYS equal in measure,  whether the lines are parallel or not.

B) 99°

Step-by-step explanation:

The crossing angles have the same angle.

So, the missing angle is 99° (B)

Hope it helpful and useful :)

Answer:

The percentage of almonds that have been collected is 35%.

Step-by-step explanation:

The question is:

In an orchard, 20% of the kilos of fruit collected are lemons, 15% are pears, 30% are walnuts and the rest are almonds. a) What is the percentage of almonds that have been collected? b) If a total of 140 kilos have been collected, how many kilos have been collected from each fruit or nut?

Solution:

Consider that the percentage of all the fruits and nuts together in a orchard is 100%.

Percentage of lemons = L% = 20%

Percentage of pears = P% = 15%

Percentage of walnuts = W% = 30%

Percentage of almonds= A%

Compute the percentage of almonds that have been collected as follows:

L% + P% + W% + A% = 100%

20% + 15% + 30% + A% = 100%

A% = 100% - 65%

A% = 35%

Thus, the percentage of almonds that have been collected is 35%.

The total weight of products collected is 140 kg.

Compute the weight of lemons collected as follows:

[tex]\text{Weight of lemons}=140\times 20\%=28\ \text{kg}[/tex]

Compute the weight of pears collected as follows:

[tex]\text{Weight of pears}=140\times 15\%=21\ \text{kg}[/tex]

Compute the weight of walnuts collected as follows:

[tex]\text{Weight of walnuts}=140\times 30\%=42\ \text{kg}[/tex]

Compute the weight of almonds collected as follows:

[tex]\text{Weight of almonds}=140\times 35\%=49\ \text{kg}[/tex]

Answer:

m = 3

Step-by-step explanation:

First, distribute the 5 to the values inside the parentheses.

6 + 5m + 5 = 26

Combine like terms: 5m + 11 = 26

Then, you want to isolate the variable so you subtract 11 from both sides because what you do on one side must be done to the other.

5m + 11 - 11 = 5m

26 - 11 = 15

5m = 15

Then divide both sides by 5.

5m / 5 = m

15 / 5 = 3

m = 3

Answer:

m=3

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Answer:it didnt

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(x + -4) (28-7)

Answer: -4

Step-by-step explanation:

bc math

Answer:

290 cm sq.

Step-by-step explanation:

We can approximate this irregular figure as a trapezoid.

We know the area formula for a trapezoid is A = (1/2)*(base1 + base2)*height

A = (1/2)* (22 cm + 36 cm) * (10 cm)

A = (1/2) *( 58 cm)*10 cm

A = 29 cm * 10 cm

A = 290 cm sq.

The answer should be 290 cm2, i will post a comment here later if it is wrong or not. Have a good day :)

Edit: It was correct

Answer:

20.0434

Step-by-step explanation:

Answer:

[tex] \sqrt{117} [/tex]

Step-by-step explanation:

Use the distance formula.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-1 - 5)^2 + (3 - (-6))^2} [/tex]

[tex] d = \sqrt{(-6)^2 + 9^2} [/tex]

[tex] d = \sqrt{36 + 81} [/tex]

[tex] d = \sqrt{117} [/tex]

Answer:

1289780

Step-by-step explanation:

Answer:

Yes, he can.

Step-by-step explanation:

Harper has two cans of paint that he would like to combine into one can.

One can contains 6.11 ounces and the other can contains 22.7 ounces.

The total quantity of paint he has is:

6.11 + 22.7 = 28.81 ounces

Since 28.81 ounces is lesser than 29 ounces, he can put both cans of paint into the 29 ounce can of paint.

Answer:

The function g(x) = (x + 1)² is represented by the graph Y

Step-by-step explanation:

The question presents the graph of the function x² above

Therefore, for a function f(x) = x² at x = 0 y = 0

For function g(x) = (x + 1)² when x = 0 g(x) = 1  Satisfied by graph W and Y

Also we have g(x) =  (x + 1)² = x² + 2·x + 1  or g(x) = f(x) + 2·x + 1

We find the minimum of the graph by differentiating and equating to zero as follows;

[tex]\frac{\mathrm{d} (x + 1)^{2}}{\mathrm{d} x} = 2x +2 = 0[/tex]

Therefor, the minimum is at x = -1 satisfied by only graph Y

Hence the graph that represents the function g(x) = (x + 1)² is the graph Y.

Answer: THe slope is 2 and y intercept is -3

Step-by-step explanation:

Answer:

Slope: 2

Y-intercept: -3

Step-by-step explanation:

The line is in point-slope form, or

y=mx+b

where m is the slope, and b is the y intercept

If we compare the 2 equations:

y=2x-3

y=mx+b

We can tell that the slope is 2, and the y-intercept is -3

Since 24 = 8*3, we can factor out the GCF 8 like so

8x^2 - 24 = 8*x^2 - 8*3 = 8(x^2-3)

This is using the distributive property.

Answer:

The median number of push-ups is 8.

Step-by-step explanation:

We use the median to find the "middle" value of a sample, that is, the value separating the lower half from the upper half of the sample.

If the size of the sample is even

1,2,3,4

Both the upper half and the lower half should have the same size.

In this case, it is not possible to select only one value which respects this condition. So the mean between 2 and 3 = 2.5 is calculated. This value is not part of the sample.

If the size of the sample is odd

1,2,3,4,5

For a n-sized sample, with n odd, the median is the value at the position (n+1)/2. So her, it is 3, the value at the third position. In this case, it is always going to be an element at a position in the sample, that is, an element of the sample.

In this question:

Initially, we list the number of pushups sorted in an increasing way.

6,8,8,14,18

The size of the sample is 5.

The median value is at the position (5+1)/2 = 3.

So it is 8, which is the element at the 3rd position.

Answer:

18

Step-by-step explanation:

The maximum number of push-ups that Justin did in a day this week was 18.

I also literally just did it

Answer:

i) 1000 cm³

ii) 614.125 cm³

Step-by-step explanation:

Volume of cube = side³

i) 10³ = 1000 cm³

ii) 8.5³ = 614.125 cm³

Answer:

1000 = 10^3

614.125 = 8.5^3

Answer:

"Jeromar" give away more tickets

Step-by-step explanation:

What we must do is calculate the amount to which a ticket is equivalent, to do this, the value of the purchase must be divided by the number of tickets they give away, as follows:

"Colima"

150/4 = 37.5

In other words, they give away 1 ticket for $ 37.50

"Jeromar"

100/3 = 33.33

In other words, they give away 1 ticket for $ 33.33

Which means that "Jeromar give away more tickets, because the cost of the ticket is lower

100% : 110%

x : 19.25

(cross multiply)

answer: 17.5

hope this helps

Answer:

sqrt(292) = JK

The approximate answer is

17.08800749 = JK

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

We know the legs JL and LK and are looking for the hypotenuse JK which is opposite and L which is the right angle

6^2 + 16^2 = JK ^2

36 +256 = JK ^2

292 = JK^2

Take the square root of each side

sqrt(292) = sqrt( JK^2)

sqrt(292) = JK

The approximate answer is

17.08800749 = JK

Answer:

2sqrt(73)

Step-by-step explanation:

Since angle L is 90, JK is the hypotenuse

JK² = 6² + 16²

JK² = 292

JK = 2sqrt(73)

Where sqrt: square root

Answer:

251 arrangement

Step-by-step explanation:

To know how many arrangements must be prepared in total, each amount of individual arrangement must be added, that is:

120 arrangement + 85 arrangement + 46 arrangement = 251 arrangement

Which means that for that weekend you have to prepare a total of 251 arrangements

In order to find out how many flower arrangements need to be prepared for the three weddings, simply add up all the ordered arrangements for each wedding. The total amounts to 251 flower arrangements.

This question is related to the subject of Mathematics, specifically focused on the topic of addition. In this scenario, you are working for a florist and have been tasked with preparing flower arrangements for three weddings. Each wedding has ordered a specific number of arrangements: 120, 85, and 46.

To understand how many flower arrangements you need to prepare in total, you need to add all the numbers given: 120 + 85 + 46. The total number of arrangements you will need to prepare is 251 flower arrangements.

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Answer:

x = -7/3y + 8/3

y = -3/7x + 8/7

Step-by-step explanation:

First, set the equations next to each other to find x and y, I'll start with x:

x + 3y + 2x + 4y = 8

Combine like terms

3x + 7y = 8

Subtract both sides by 7y

3x + 7y - 7y = 8 - 7y

3x = 8 - 7y

I'll re-order the equation to make it easier to divide

3x = -7y + 8

Divide both sides by 3

3x / 3 = -7y + 8 /3

x = -7/3y + 8/3

If you need decimals just divide with a calculator

Now to find y:

We already combined like terms so we don't need to do that again...

3x + 7y = 8

Subtract both sides by 3x

3x - 3x + 7y = 8 - 3x

7y = 8 - 3x

I'll reorder the equation once again so the variable comes first

7y = -3x + 8

Divide both sides by 7

7y / 7 = -3x + 8 / 7

y = -3/7x + 8/7

Again, use a calculator to divide completely for decimals.

The arc measure BDC that subtend the angle at the center P of the circle is  213 degrees

The arc measure of angle BDC is as follows;

AC and BD are the diameter of the circle.

∠BPD ≅ ∠APD

Therefore,

4k + 159 = 2k + 153

4k - 2k = 153 - 159

2k = -6

k = -6 / 2

k = -3

4(-3) + 159 = 147°

∠BPD ≅ ∠APD = 147°

Hence,

∠BPA ≅ ∠CPD = 33°

arc BDC = 33 + 147 + 33 = 213 degrees

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