Write an equation and
Isolve for x if the area
of the rectangle is 70
square units.

Answer:

0.2

Step-by-step explanation:

Multiply 4/5 and 1/4: Decimal form

.8 • .25

Answer:

3.2 miles in one hour

Step-by-step explanation:

You can walk 4/5 of a mile in 1/4 of an hour (15 minutes). How far can you walk in an hour?

If you can walk 4/5 of a mile in 1/4 of an hour the equation would be:

4/5x = 1/4

multiply both sides by 4:

4(4/5x) = 4(1/4)

3.2 miles per 1 hour

Answer:

y=-4/3x

Step-by-step explanation:

ans would be c y=-4/3x

Answer: 157.5

"Of" means to multiply. When multiplying percentages by whole numbers, the percentage becomes smaller. The commonly asked question in scenarios just like this is, "what is x% of y?" where x is the percentage and y is your number you want a percentage out of. This question requires you to use multiplication, because it uses the word, "of".

[tex]\bold{Step-by-step}[/tex]

[tex]\mathrm{"What}[/tex] [tex]\mathrm{is}[/tex] [tex]\mathrm{x\%}[/tex] [tex]\mathrm{of}[/tex] [tex]\mathrm{y?"}[/tex]

[tex]P = (x\% \times y)\\P = (75\% \times 210)\\p = 75\% = 0.75\\P = (0.75 \times 210)\\P = 157.5[/tex]

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Answer:

45

Step-by-step explanation:

5/9 = 24/45

6/5 = 54/45

5/9= 5/9× 5/5 = 25/45

6/5 = 6/5 × 9/9 = 54/45

All the questions have been solved in the above pictures 7,8,9,10,11,12 & 13

Answer: x = 23

Step-by-step explanation:

Angle in a X shape, the two 'opposite' eachother must be the same so angle HGC is 14

Angle in a Z shape where the lines of the Z are parralell, the two innercorner angles of the Z must be the same os angle GCE must be 14

In triangle GEC we now know two out of the three angles 78 and 14 and we know that angles in a trianlge add up to 180 so the missing angle GEC must be 180-78-14=88

Angles on a straight line must add up to 180 so 4x+88=180

Then this can be used to figure out x

4x+88=180

4x = 92

x = 23

Answer:

6/5

Step-by-step explanation:

m = (y_2 - y_1)/(x_2 - x_1) = (20 - 8)/(12 - 2) = 12/10 = 6/5

The slope of the line shown is -2/5

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (0,7) and (5, 5)

Slope = 5-7/5-0
Slope = -2/5

Hence the slope of the line shown is -2/5

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Answer:

1/2

Step-by-step explanation:

2/3 x 3/4 = 6/12 =1/2

Answer:

If you are an athlete, then you play soccer

Step-by-step explanation:

This statement is not true as you can be an athlete and play football, run, etc. You could play soccer but this sentence is implying that you do play soccer. It is also not a conditional statement. A conditional statement is "If A then B".

Answer:

Graph D

Step-by-step explanation:

Graphs that represent functions have to correlate with each other in some way so it has to be either linear or non-linear so Graphs B and C are out of the question

To find the graph that represents a function you do the vertical line test which is when you draw a line though the x-axis and as soon as two or more points are on the same line it is no longer a function so graph a is out

By proess of elimination the function is graph D

Answer: I don’t see a attachment if you edit and add one I will come back to edit.

Step-by-step explanation:

The perimeter of the playground is 16x + 20

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l+w)

Given the following

l = 3x-2

w = 5x+12

Substitute to have:

P = 2(3x-2+5x+12)

P = 2(8x + 10)

p = 16x + 20

Hence the perimeter of the playground is 16x + 20

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The time it takes the driver to travel from Point A to Point B is 8 minutes, the same as the helicopter but through a more longer path, such that, we have;

Based on a similar question, the first part required to determine if a driver that drives from Point A to Point B in 8 minutes obeyed the speed limit of 55 miles per hour.

The path of the driver consists of a short path, a bend changing the direction, then a long straight path.

The path of the helicopter is directly from Point A to Point B.

Therefore;

The length of the path of the driver, d1, is longer than that the helicopter, d2, which gives;

d1 > d2

From kinematics, we have;

[tex]Speed = \frac{Distance}{Time} [/tex]

The time taken by the helicopter and the and the driver are equal to 8 minutes, therefore;

[tex] Speed \: of \: the\: driver = \frac{d_1}{8} [/tex]

[tex] Speed \: of \: the \: helicopter = \frac{d_2}{8} [/tex]

[tex] d_1 > d_2 [/tex]

According to the division property of equality, we have;

[tex] \frac{d_1}{8} > \frac{d_2}{8} [/tex]

[tex] \frac{d_2}{8} < \frac{d_1}{8} [/tex]

Therefore;

The speed of the helicopter is lesser than the speed of the driver, which gives;

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[tex]-\displaystyle\frac{4}{3}[/tex]

Slope describes the change in y divided by the change in x.

Solving Using Slope Formula

One way to find slope when you are given 2 points is the slope formula.

To solve, plug in the x and y-values and simplify. For this question, let (-2, 3) represent the (x₂, y₂) and (1, -1) represent (x₁, y₁).

This shows that the slope of this line is -4/3.

Solving Through Counting

When given the graph of a function, you can also count out the slope. Starting from the left point, count the change in y-values and the change in x-values. Remember, when the y-values decrease, the change should be negative. The y-value changes by -4 and the x-value changes by +3.

Since the slope is change in y over change in x, the slope is -4/3.

The measure of angle A and angle B are 31° and 59° respectively.

Complementary angles that sum up to 90 degrees.

Given the angles as;

We have that;

Angle A + Angle B= 90

Substitute the values

3x + 7 + 6x + 11 = 90

collect like terms

9x = 90 - 18

9x = 72

Make 'x the subject

x = 72/ 9

x = 8

Angle A = 3x + 7 = 3(8) + 7 = 31°

Angle B = 6x +11 = 6(8) + 11 = 59°

Thus, the measure of angle A and angle B are 31° and 59° respectively.

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Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

complementary angles are angles that sum up to 90 degrees.

Given the data in the question;

Since complementary angles sum up to 90 degrees.

Measure of angle A + Measure of angle B = 90°

Plug in the given values and solve for x.

(3x + 7) + (6x + 11) = 90

Collect like terms

3x + 6x + 11 + 7 = 90

9x + 18 = 90

Subtract 18 from both sides

9x + 18 - 18 = 90 - 18

9x = 72

x = 72/9

x = 8

Hence;

Measure of angle A = 3x + 7 = 3(8) + 7 = 24 + 7 = 31°

Measure of angle B = 6x + 11 = 6(8) + 11 = 48 + 11 = 59°

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

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The multiplication of given fraction is 1 4/5 x 5/6 = 1 1/2

In this question, we have been given an expression 1 4/5 x 5/6

We need solve given mathematical expression.

First we write improper fraction 1 4/5 as proper fraction.

1 4/5 = 9/5

So, given expression becomes,

1 4/5 x 5/6

= 9/5 x 5/6

= 9/6

= 3/2

Now we write 3/2 as improper fraction.

If we divide the 3 by 2,then we will get 1 as quotient and 1 as remainder.

3/2 = 1 1/2

Therefore, the multiplication of given fraction is 1 4/5 x 5/6 = 1 1/2

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The interval will their systolic pressure be lowest is 4p.m. to 6p.m.

Given that

the effects on the systolic

145-6t if 0≤t≤5

function: S(t)

115 if 5 52+7t if 9≤t≤12

where t= time

the blood pressure medication takes at 7 a.m.

first of all we have to nknow about the Interval.

What is interval?

An interval is a distinct measure of time or the physical or temporal distance between two things.

From the function given above, the lowest systolic pression can be seen from 5 and 8 hours after taken the medication.

Therefore, this will fall into or between the interval of  2pm to 5pm.

And as such,  looking at the question, the option that best fit into this time range is 4pm to 6pm.

Therefore,  Based on the above, the interval will their systolic pressure be lowest is 4pm to 6pm.

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Answer:

40 multiply by area of the table

Step-by-step explanation:

force = pressure *  area of the table

The relationship between the number of bushels and the number of quarts is b = 32q.

The mathematical operation that would be used to determine the required value is multiplication. Multiplication is the process of determining the product of a number. The sign used to represent multiplication is x.

The equation that represents the relationship between bushel and pecks is: b = 4p

The equation that represents the relationship between a peck and quarts is: p = 8q

In order to determine the relationship between bushels and quarts, substitute for p in the first equation

b = 4(8q)

Expand the bracket : b = 4 x 8q

b = 32q

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The markers identified when identifying significant digits include:

Significant digits in mathematics refers to digits that  are meaningful in mathematical calculations. This implies that their position and the quantity alters the value of the number. The particular digit and the position determines whether the digit is significant or not.

Instances of digits with their locations that are significant are:

These instances results to significant digits while the instances below the digits are insignificant:

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Answer:

55 A

Step-by-step explanation:

The expression is simplified -x^4 -3x³ -x² + 4x + 6

Algebraic expressions are expressions consisting of variables, constants, factors and coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc

Given the expression:

(-x² - 2x - 2) (x² + x - 3)

expand the bracket

-x^4 - x³ + 3x² -2x³ - 2x² +6x - 2x² - 2x + 6

collect like terms

-x^4 - x³ - 2x³ + 3x² - 2x² - 2x² + 6x - 2x + 6

Add or subtract like terms

-x^4 -3x³ -x² + 4x + 6

The expansion of the expression is -x^4 -3x³ -x² + 4x + 6

Hence, the expression is simplified -x^4 -3x³ -x² + 4x + 6

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Answer:

80 degrees

Step-by-step explanation:

80 degrees because part of it is on zero and the other part is on 80 so 80-0=80 degrees,

The location of the values square root of 10, square root of 13, and twenty two ninths on the number line will be A. Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.

The square root of 10 will be 3.16

The square root of 13 will be 3.6

Twenty two ninths will be 22/9 = 2.44

Therefore, the location of the values square root of 10, square root of 13, and twenty two ninths on the number line will be Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.

In conclusion, the correct option is A.

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