Jonah cut a piece of rope that was 4ft 7 inches long. How many inches is that?

Answer:

The number if texts sent by Chau  = 32

The number of texts sent by Laura = 24

The number of texts sent by Jose  =  96

Step-by-step explanation:

The total number of sent texts =  152

Let us assume the number of texts sent by Chau = k

So, the number of texts sent by Laura  = 8 fewer than Chau  = k - 8

Also, the number of texts sent by Jose = 4 times as many messages as Laura

=  4 x (k-8)

So, now the total number of texts = texts sent by ( Chau  + Jose + Laura)

or, 152  = k +  (k-8) + 4(k-8)

⇒ k + 5(k-8) = 152

or, k + 5 k - 40 = 152

or, 6 k  = 192

or, k = 32

So, the number if texts sent by Chau = k = 32

The number of texts sent by Laura = k - 8 = 24

The number of texts sent by Jose = 4 (24)  =  96

Answer:

The answer is that 90 couples remained at the party after 11 pm

Step-by-step explanation:

Number of people who went to the couples only party at 9 pm = 250

Number of people who left the party at 11 pm = 70

How many couples remained at the party?

People that remained at the party = 250 - 70 = 180

Couples that remained at the party = 125 - 35 = 90

The answer is that 90 couples remained at the party after 11 pm

Answer:

J=67

T=67

G=180-67-67

St=5

HJ=3.7

Step-by-step explanation:

The two triangles are equal.

Since the triangle at isosceles, two sides/angles are equal.

The measure of the angles and the sides are:

m∠J = 67

m∠T = 67

m∠G =46

ST = 5 cm

HJ = 3.7 cm

We have,

ΔGHJ ≡ Δ STU

This means,

The corresponding sides and angles are the same.

Now,

GH = ST = GJ = SU = 5cm

And,

HJ = TU = 3.7 cm

Now,

The sum of the angles in the triangle = 180

In GHJ,

m∠J = 67

This is because angles opposite to the equal sides are the same.

Now,

∠G + ∠H + ∠J = 180

∠G + 67 + 67 = 180

∠G = 180 - 134

m∠G = 46

And,

m∠T = 67

Since ΔGHJ ≡ Δ STU.

Thus,

The measure of the angles and the sides are:

m∠J = 67

m∠T = 67

m∠G =46

ST = 5 cm

HJ = 3.7 cm

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Answer:

-5.3.

Step-by-step explanation:

-8.6 + 2.3 + 1

= -6.3 + 1

= -5.3.

Answer:

4

Step-by-step explanation:

8                   2                             8                     10             80                      8

-    divide     -  -------> KCF          -    multiply      -      =        -    simplify =     -  = 4

10                 10                            10                     2              20                      2

Answer:B (x-4)^2=9

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-4-(5+3)

-4-(8)

-4-8

-12

-12 is the value of the expression  - 4 - (5 + 3)​.

An expression is combination of variables, numbers and operators.

Given expression is -4-(5+3)

Minus four minus of five plus three.

In the given expression we have positive and negative signs which tells that there is addition and subtraction operations.

-4-(5+3)

Add the numbers in parenthesis

-4-8

Now we get -12

Hence, -12 is the value of the expression  - 4 - (5 + 3)​.

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Answer:

(x - 6)² = - (y - 4)

The vertex of the parabola will be (6,4).

The x-intercepts are at (8,0) and (4,0).

Step-by-step explanation:

Given the equation of parabola is g(x) = y = - x² + 12x - 32 .......... (1)

Now, converting the equation to vertex form.

Here, y = - x² + 12x - 32

⇒ y = - (x² - 12x + 36) + 4

⇒ y - 4 = - (x - 6)²

⇒ (x - 6)² = - (y - 4) ........... (2) (Answer)

Now, the vertex of the parabola will be (6,4) and it opens down. (Answer)

Let the x-intercept of the parabola is at (h,0).

Hence, from equation (2) we get,

(h - 6)² = - (0 - 4) = 4

⇒ h - 6 = ± 2

⇒ h = 8 or h = 4

Therefore, the x-intercepts are at (8,0) and (4,0). (Answer)

Answer:

Step-by-step explanation:

4 + 5=9

We are certain that 4 people are jogging and it is given that mote 5 people are walking rather than jogging so from these statement we can see that only 5 people are walking.

Running at a slow and regular pace, especially as a form of exercise, usually runs half an hour before breakfast. Exercise and training  the purpose of jogging is to Health benefits of running and jogging helps build strength because it is heavy exercise strengthens muscles. improves cardiovascular fitness. burn a lot of kilojoules.

Jogging is a form of aerobic exercise in which running speed is less than 6 miles per hour. Jogging regularly can help you lose weight, especially if you also change your diet.

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Tan(angle) = opposite / adjacent

Tan(angle) = 4/5

Angle = arctan(4/5)

Angle = 38.66

Angle = 38.7

Answer:

W

Step-by-step explanation:

Tvivyvyvububi

Answer:

4x^2+4x-12

Step-by-step explanation:

(3x^2+x-14)-(-x^2-3x-2)

3x^2+x-14+x^2+3x+2

3x^2+x^2+x+3x-14+2

4x^2+4x-14+2

4x^2+4x-12

Answer:

$10,050

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent to a decimal by dividing it by 100.

15% of $67,000 =

= 15% * $67,000

= 0.15 * $67,000

= $10,050

Answer:

x≥-3

Step-by-step explanation:

the bracket means the the number is inclusive, so the answer would be

x≥-3

Final answer:

To convert the interval [-3,∞) to inequality notation, we would write x ≥ -3, indicating that x includes -3 and extends to positive infinity without an upper bound.

Explanation:

To convert the interval notation [-3,∞) to inequality notation using the variable x, we consider the meaning of the interval. The square bracket [ indicates that the number -3 is included in the interval, which corresponds to x ≥ -3. The infinity symbol (∞) suggests that there is no upper bound to the values of x, hence the interval does not include any particular largest number, which is why the parenthesis ) is used rather than a square bracket. Therefore, the equivalent inequality notation for the interval [-3,∞) is x ≥ -3.

Answer:

Italian style = 18,000 packages

French style = 14,000 packages

Oriental style = 53,000 packages

Step-by-step explanation:

See the attached figure to represent the question

let the number of packages of Italian style = x

let the number of packages of French style = y

let the number of packages of Oriental style = z

Italian style ⇒ 0.4 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.3 kg of carrots.

French style ⇒ 0.5 kg of broccoli and 0.5 kg of carrots.

Oriental style ⇒ 0.2 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.5 kg of carrots.

The amount of zucchini ⇒ 17,800 = 0.4x + 0 * y + 0.2z

The amount of broccoli ⇒ 28,300 = 0.3x + 0.5y + 0.3z

The amount of carrots   ⇒ 38,900 = 0.3x + 0.5y + 0.5z

Solving the 3 equations together to find x , y and z

Using the calculator:

x = 18,000 ⇒ Italian style packages

y = 14,000 ⇒ French style packages

z = 53,000 ⇒ Oriental style packages

Answer:

A 4/81

Step-by-step explanation:

(2/9)² is the same as 2/9×2/9, which is 4/81.

Option B:

–1 is the value included in the solution set

Solution:

Given inequality is –3(x – 4) > 6(x – 1).

⇒ –3x + 12 > 6x – 6

Add 3x on both sides of the expression.

⇒ –3x + 12 + 3x > 6x – 6 + 3x

⇒ 12 > 9x – 6

Add 6 on both sides of the expression.

⇒ 12 + 6 > 9x – 6 + 6

⇒ 18 > 9x

Divide by 9 on both sides of the expression.

⇒ 2 > x

⇒ x < 2

Therefore the solution set is x < 2.

In the given options 3 and 7 are greater than the solution set.

x < 2, so 2 is also not in the solution set.

–1 is the only value which is in the solution set x < 2.

Hence, –1 is the value included in the solution set.

Answer:

10.5 in

Step-by-step explanation:

The correct question is

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?

Note: BC is not the hypotenuse of the right triangle ABC

see the attached figure to better understand the problem  

In the right triangle ABC of the figure

we know that

[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

[tex]tan(55^o)=\frac{15}{b}[/tex]

solve for b

[tex]b=\frac{15}{tan(55^o)}[/tex]

[tex]b=10.5\ in[/tex]

Answer:

10.5 in

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the answer to C is 7/12

Answer:

= 2/27 square root of 6

Step-by-step explanation:

:)

Answer:

2/27

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

50% = 1/2

therefore 1/2 of 38

= 19

Answer: 19

Step-by-step explanation: We need to write 50% as a decimal by moving the decimal point 2 places to the right to get .50. Next, the word "of" means multiply, so we have (.50)(38) which is 19.

The cost of bench is 325.

Step-by-step explanation:

Given,

Combined cost of table and bench = 725

Let,

x be the cost of garden table

y be the cost of bench

According to given statement;

x+y=725         Eqn 1

x = y+75         Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](y+75)+y=725\\y+75+y=725\\2y=725-75\\2y=650[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{650}{2}\\y=325[/tex]

The cost of bench is 325.

Keywords: linear equation, substitution method

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Answer:

To find the value of this expression you need to add and subtract from left to right

74.9+5.23-81.4-16 (add the first two, first)

80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)

-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)

-17.27 (-1.27-16=-17.27)

-17.27

Hope this helps ;)

Answer:

Step-by-step explanation:

x² - x - 56 = x² - 8x  + 7x - 7*8

= x*(x - 8) + 7 (x - 8)

= (x - 8) (x + 7)

Answer:

Step-by-step explanation:

The total amount of berries, in cups, that will be in Emma's containers is represented by the expression n in mathematics , due to the multiplication principle of counting.

The subject of this question is mathematics, specifically, arithmetic and algebra. Emma has n containers and plans to put one cup of berries into each container. To find the total amount of berries, in cups, that Emma will put into the containers, you multiply the number of containers by the number of cups per container. Since Emma is putting 1 cup of berries in each container, the expression that represents the total amount of berries Emma will put into the containers is simply n.

This is due to the Multiplication Principle of Counting, which states that if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m x n ways. Here, the two events are 'number of containers' and 'cups of berries per container', with the 'number of containers' being variable, represented as n and the 'cups of berries per container' being a constant '1'.

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Answer:

338 is the difference

Step-by-step explanation:

505-167=338

The difference between 505 and 167 is calculated using standard subtraction techniques, including borrowing, to arrive at a final answer of 338.

To solve the subtraction problem 505 - 167, we can use the standard algorithm for subtraction:

The difference between 505 and 167 is 338.

Answer:

  C  6

Step-by-step explanation:

The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.

Here, that means ...

  NP/PQ = 2/1

  NP = 2·PQ = 2·3

  NP = 6

Answer: A number decreased by 4 equals 20

explanation: Decreased represents 4 being subtracted from y.

A number represents y

Answer:

Step-by-step explanation:

y decreased by 4  equal 20

.or

4 subtracted from a number equals 20

Answer:

The midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].

Step-by-step explanation:

Given points are [tex](-2,-2)\ and\ (4,6)[/tex]. We need to find the midpoint of the line segment.

The formula of finding midpoints between the point [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is

[tex](\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)[/tex]

W have points [tex](x_1,y_1)=(-2,-2)[/tex]. And [tex](x_2,y_2)=(4,6)[/tex]

Let us plug the value in Equation (1)

[tex](\frac{-2+4}{2} ),(\frac{-2+6}{2})[/tex]

[tex](\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)[/tex]

So, the midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].