Bob mows lawns for 5 weeks during summer break. He mows 2 lawns every day. By the end of 5 weeks, how many lawns has Bob mowed?​

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

Answer: x=-1

Step-by-step explanation:

2x - 3 = -5

2x - 3 +3= -5+3

2x=-2

x=-1

Answer:

x = -1

Step-by-step explanation:

To find x, we have to get x by itself.

2x - 3 = -5

Add 3 to both sides

2x - 3 +3 = -5 +3

2x = -2

Divide by 2 to both sides

2x ÷2 = -2 ÷2

x = -1

Have a good rest of your day! :)

The area of the farm in acres is 864 acres.

An acre is equal to​ 43,560 square​ feet, and there are 5280 feet in a mile.

Therefore,

1 mile = 5280 feet's

The farm has the shape of a rectangle measuring 0.9 miles by 1.5​ miles. Therefore, let's convert to feet's

1 mile = 5280 feet's

0.9 miles = ?

cross multiply

length = 0.9 × 5280 = 4752 feet

1 mile = 5280 feet's

1.5 miles = ?

width = 1.5 × 5280 = 7920 feet's

Hence,

area of the farm = 4752 × 7920

area of the farm = 37635840

Therefore, the area of the farm in acres can be calculated as follows:

43560 ft = 1 acre

37635840 ft = ?

cross multiply

area of farm = 37635840 / 43560

area of the farm = 864 acres.

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It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.

Therefore 4/7 x 1/4 will be:

= 4/7 × 1/4

= 1/7

Also 4/7 x 1/6 will be:

= 4/7 × 1/6

= 2/21

Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

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After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

[tex]\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55[/tex] dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

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Answer: x=28/3

Step-by-step explanation:

6/8=7/x

3/4=7/x

3x/4=7

3x=28

x=28/3

Answer: the answer is 9 or 9.333333

$0.29 you save if you buy the big bag instead of 2 small bags .

The unitary method is a strategy that determines the value of many units based on the value of a single unit in addition to calculating the value of a single unit using the values of multiple units.

We must divide the value of one thing by the number of other items we wish to calculate the value of before multiplying that result by one.

From the question,

A huge bag of flour weighing 10 lbs costs $3.69 in total.

Currently, one 5-lb small bag costs $1.55.

Consequently, two 5-lb little bags cost $3.10 each.

Cost difference equals big bag cost minus two small bag expenses.

The price difference is equal to $3.69 minus $3.10.

$0.29 is the cost difference.

By purchasing two small bags of floor instead of one large bag, you will save $0.29.

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Answer:

$2,400,000

Step-by-step explanation:

Just multiply them together

Answer:

0

3

3

7

2

3

3

-

0

2

3

-

2

1

2

3

-

2

1

2

Step-by-step explanation:

SOOOOOOOOOO THE ANSWER 33 with the reamder of 2

The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees

The coordinates are given as:

M(-2,3),

H(-4,-3)

A(4,3)

T(2,-3)

The rule of rotation by 180 degrees is

(x, y) = (-x, -y)

When the above rule is applied, we have

M(-2,3), = T(2,-3)

H(-4,-3) = A(4,3)

A(4,3) = H(-4,-3)

T(2,-3) = M(-2,3)

Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees

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Answer: 0.35

Step-by-step explanation:

7/20 = 0.35

0.35 x 20 = 7

When the surface area is 275 square inches, the radius is approximately 6.17 inches.

The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.

Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.

Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]

Let the total surface area of the given cylinder be written as A(x).

[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]

Now given A(x)=275 and h=8 inches.

[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]

The radius is 6.17 inches when the surface area is 275.

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Answer:

Please see picture below.

Step-by-step explanation:

Answer:

y = - 2x + 2

Step-by-step explanation:

[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]

[tex]y-8=-2x-6[/tex]

[tex]y=-2x-6+8[/tex]

[tex]y=-2x+2[/tex]

Hope this helps

Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

The percent error is 8%

The formular for percent error is approximate value -exact value/exact value multiplied by 100

The approximate value is 197 points

The exact value is205 points

Percent error = 197 - 205 /205 × 100

= -8/205 × 100

= 0.0390 × 100

= 3.9

Hence the percent error is 8%

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The 16th pentagonal number is 376

A function can be defined as an expression that explains the relationship between a dependent and an independent variable.

Given the function for the nth pentagonal number as;

Pn = n( 3n -1 )/ 2

To determine the 16th pentagonal number, we need to substitute the value of n as 16

We have;

P16 = 16(3(16) - 1)/ 2

P16 = 16( 48 - 1)/ 2

P16 = 16(47)/ 2

expand the bracket

P16 = 376

Thus, the 16th pentagonal number is 376

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Use of open number line is

7 boxes of cherry tarts

Each box has 8 cherry tarts.

Total cheny tarts is

[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]

A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.

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Answer:

See the picture below.

Step-by-step explanation:

Answer: -21

Step-by-step explanation:

The proportional relation that tells us how many hours she practices basketball in D days is:

H = 2*D

We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.

We want to find an expression that relates the number of hours practiced, H, in D days.

If she practices 2 hours per day, then in D days she will practice a total of:

H = 2*D

This is just a proportional relation that tells us how many hours she practices basketball in D days.

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Answer: 420

Step-by-step explanation:

60 apples per day times 7 days in a week = 420

Answer:

f(X) = ( - X) ½

is the answer

pls brainliest

The numerical length and width of the rectangular picture are 9in and 12in respectively.

Area of a rectangle is expressed as;

A = length × width

Given the data in the question;

To determine the numerical length and width of the rectangular picture, first plug the given values into the equation and solve for x.

A = length × width

108 = (2x -1)(x+7)

Expand

108 = 2x² + 14x - 1x -7

108 = 2x² + 13x -7

Reorder

2x² + 13x -7 = 108

2x² + 13x - 7 - 108 = 0

2x² + 13x - 115 = 0

Solve by grouping

(x-5)(2x+23) = 0

x-5 = 0, 2x+23 = 0

x = 5, 2x = -23

x = 5, x = -23/2

x = 5, x = -11.5

But the dimension cannot be negative, hence;

x = 5

Next, determine the numerical length and width.

Length = 2x - 1 = 2(5) - 1 = 10 - 1 = 9in

Width = x + 7 = 5 + 7 = 12in

Therefore, the numerical length and width of the rectangular picture are 9in and 12in respectively.

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Answer:y=mx+b

Step-by-step explanation:

Answer:

Let x be the amount invested in funds that earned 8%.

Then the amount invested in stock that suffered 3% loss is 18,000 - x.

The profit from investment in funds is 8%x

The loss from investment in stock is 3%(18,000 - x).

The net profit is 8%x - 3%(18,000 - x).

As the net profit given in the problem is $780, we have:

8%x - 3%(18,000 - x) = 780

Step-by-step explanation:

Value of Sine and Cosine of T is -1 and 0 respectively.

According to the question statement, P is at the point (0,-1)

We are supposed to find the value of trigonometric ratios sine and cosine of T

Let Point P (0,-1)

[tex]x=0, y=-1[/tex] and radius r = 1

[tex]sin(t) = \frac{y}{r}\\sin(t)=\frac{-1}{1} \\sin(t)=-1[/tex]

Therefore, sine of t is -1

[tex]cos(t)=\frac{x}{r} \\cos(t)=\frac{0}{1} \\cos(t)=0[/tex]

Therefore, cosine of t is 0

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Answer:

x=11

Step-by-step explanation:

9x=7x+22

9x-7x=22

2x=22

2x/2=22/2

x=11

The slope of the straight line is -1/2 whereas the y-intercept is 3/8.

Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.

Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.

y = mx + b

Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.

The given equation is;

4x + 8y = 3

Re-arranging the equation;

8y = -4x + 3

Divide the whole equation by 8.

y = -4x/8 + 3/8

Further simplifying;

y = -x/2 + 3/8

Comparing the result with the general form of equation.

m = -1/2; which is the slope.

c = 3/8; which is the y-intercept.

Thus, the values for slope and y-intercept are estimated.

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The correct question is-

Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.