7 grade go math lesson 1.1 adding integers with a common sign

Answers

Answer 1

Adding integers with a common sign.

When adding two integers with a common sign, we just add the absolute value of the numbers and the resulting answer is marked with the same sign given in the question.

This question has two possible answers.

Possibility 1:

Both the integers are of positive sign. As a result, the resulting integer after addition is positive.

Example:

Let c = 45 and d = 53.

The sum of c and d is then

sum = c + d = 45 + 53 = 98

Possibility 2:

Both the integers are of negative sign. As a result, the resulting integer after addition is negative.

Example:

Assume c = -23 and d = -61.

The sum of c and d is then

sum = c + d = (-23) + (-61) = -(23 + 61) = -84

Hence, we have added integers with a common sign.

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Related Questions

how to solve? …………….

Answers

Solution:

[tex]3(2x+3)[/tex]

Hope this helps!

estimate the square root of 60 to one decimal place

Answers

The answer is approximately 7.7

b. Find the change in temperature if the temperature rises from -18°F to 15°F.

Answers

The change in temperature is 33°F.

According to the question we have been given that there are two temperature readings which are, -18°F and 15°F.

We need to find the change in temperature that is we need to find the difference. And for that we will use distance formula.

The formula to find the distance between the two numbers p and q is

                                    = |p-q|

Here , p = -18°F  and q = 15°F

Putting the required values in the above formula we get

                     = |-18 - 15| °F

                     = |-33| °F

                     = 33°F

Hence the change in temperature is 33°F.

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Algebra 1
1.1 Evaluating Expressions
Evaluate each using the values given.
1) z−5+ x; use x = 1, and z = -3

Answers

Evaluating Expressions-

z−5+ x= -7

x = 1, and z = -3

z−5+ x=-3 + (-5) + 1

          = -3-5+1=-7

to assess an algebraic expression way to find the price of the expression while the variable is changed by using a given range.

to evaluating expression, we replacement the given range for the variable within the expression and then simplify the expression the use of the order of operations

What does “Evaluating Expressions” suggest?

Simplification of expressions can be performed with the help of operations’ order. It consists of changing the variable to discover the expression’s fee. The given number is substituted to evaluate expressions. After this, one needs to simplify it primarily based at the order of the operations

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Liam is 3 years older than his little sister Carin. Together they're 31 years old. How old is Liam? Solve the problem with an equation

Answers

Answer: Liam is 17

Step-by-step explanation: 17-14= 3. 17 + 14 = 31

which of the following statements is not correct? fewer students in the sample listed volleyball as their favorite sport than football. more students in the sample listed lacrosse as their favorite sport than basketball. more students in the sample listed basketball as their favorite sport than volleyball. the highest percentage of teenagers in the sample listed soccer as their favorite sport.

Answers

The highest percentage of teenagers in the sample listed soccer as their favorite sport. this option is correct .

What does a statistical pie chart mean?

A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. A certain category is represented by each segment.Pie charts are circular charts with segments that each indicate a value and are used in data handling. Pie charts have portions (or "slices") that depict varying sizes of values. For instance, an entire class is represented by the circle in this pie chart.

In this question pie chart is showing data of games .

So. by observing the chart we can say that ,

the highest percentage of teenagers in the sample listed soccer as their favorite sport.

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Can someone help me with these? ASAP please

Answers

a. Length of AB = 7 units

Length of CDS = 3 units

Line segment AB and line segment CD are not congruent.

b. Length of AB = 7 units

Length of CD = 7 units

Line segment AB and line segment CD are congruent.

c. Length of AB = 9 units

Length of CD = 7 units

Line segment AB and line segment CD are not congruent.

How to Find the Length of a Segment?

Given two points on a coordinate plane, where the two points are on a horizontal or vertical line, the distance between the two points is the absolute difference between their coordinates.

a. Given:

A(10, -4)

B(3, -4)

C(-1, 2)

D(-1, 5)

Length of AB = |10 - 3| = |7|

Length of AB = 7 units

Length of CD = |5 - 2| = |3|

Length of CDS = 3 units

Line segment AB and line segment CD are not congruent.

b. Given:

A(-5, 6)

B(-5, -1)

C(-4, 3)

D(3, 3)

Length of AB = |6 - (-1)| = |7|

Length of AB = 7 units

Length of CD = |-4 - 3| = |-7|

Length of CD = 7 units

Line segment AB and line segment CD are congruent.

c. Given:

A(8, 3)

B(-1, 3)

C(5, 10)

D(5, 3)

Length of AB = |8 - (-1)| = |9|

Length of AB = 9 units

Length of CD = |10 - 3| = |7|

Length of CD = 7 units

Line segment AB and line segment CD are not congruent.

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Approximate √18 to the nearest tenth and plot
the number on a number
line.

Answers

Answer: 4.2

Step-by-step explanation:

√18=

4.24=

4.24=4.2

Al caer la tarde, la temperatura en seattle era de 7 C. A medianoche ‘ la temperatura había caído 15C cual era la temperatura a media noche

Answers

Answer:

hh jkj

Step-by-step explanation:

Answer:

al la trade la temperature en Seattle

Era de 7c a medical

Step-by-step explanation:

5(6+5v)+5(-8-4v) pls explain how to do this

Answers

Answer:

-10 + 5v

Step-by-step explanation:

5(6 + 5v) + 5(-8 - 4v)

We distribute first

30 + 25v -40 - 20v

Then we can combine like terms: 30 plus (-40) is -10.  25v plus (-20v) = 5v.

-10 +5v

I need some help with my math please: Triangles ABD and ACE are similar right triangles. Which ratio best explains why the slope of AB is the same as the slope of AC?

Answers

Answer:

The second answer is the correct one I believe

Answer:

second one

Step-by-step explanation:

multiply or divide write your answer in simplest form 3/6 x 7/10

Answers

Answer:

0.35

Step-by-step explanation:

3/6=1/2

7/10=0.7

1/2=0.5,0.5×0.7

=0.35

Answer: 7/20

Step-by-step explanation:

3/6*7/10= 0.35

First write down the decimal number divided by 1 like this:

0.35

1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 102 = 100, so that there is no decimal point in the numerator

0.35 × 100

1 × 100

=

35

100

Since the greatest common factor of 35 and 100 is 5, we can simplify the fraction and show the same amount

35 ÷ 5

100 ÷ 5

=

7

20

Therefore, 0.35 as a fraction is 7/20

multiple choice question. with explanation needed.

Answers

Answer: 4

Step-by-step explanation:

Write down the inequality described by "negative three groups of x is less than two", and solve for x

Answers

Answer:

- 3x < 2

x < - 1

Explanation and Check part below

Explanation and Check part belowHope this helps :)

Step-by-step explanation:

1. To solve, first isolate the variable by doing the inverse operation which is in this case dividing by - 3 on both sides of the equation.

- 3x < 2

- 3 -3

x < - 1

2. Graph it if needed with an open dot because - 1 is not part of the set of solutions.

<--------○

<----l----l-----l----->

-2 -1 0

Check:

1. Substitute x with any number less than - 1 and solve.

- 3 (- 2) < 2

-6 < 2

True statement.


9. Bus A arrives every 12 minutes and Bus B arrives every 15 minutes. Both buses arrive
together at 9am, what time do they next arrive together

Answers

Answer:  10 AM

============================================================

Explanation:

12 = 3*4

15 = 3*5

The GCF of 12 and 15 is 3

LCM of x and y = (x*y)/(GCF of x and y)

LCM of 12 and 15 = (12*15)/(GCF of 12 and 15)

LCM of 12 and 15 = (12*15)/(3)

LCM of 12 and 15 = 60

-------------------

We can confirm this by listing out the multiples of each

multiples of 12 are: 12, 24, 36, 48, 60, 72, ...

multiples of 15 are: 15, 30, 45, 60, 75, ...

-------------------

Since the LCM is 60, this means their schedules line up every 60 minutes, aka 1 hour.

If they arrive together at 9 AM, then their next arrival time together is 10 AM which is the final answer.

Tanisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $5.50 and a drink for $4. How much would it cost if they bought 4 bags
of popcorn and 6 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?

Answers

You get the total price of the item and multiply it with the number is needed.
Hope this helps!

8 as a product of three primes

Answers

Answer: 2x2x2 or 2 cubed

Step-by-step explanation: 2x2=4 2x4=8

Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.

Answers

Answer:

Step-by-step explanation:

Answer:

no of batches of street made is 2345

srry i don't know

Step-by-step explanation:

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. the path of the projectile is modeled using the equation h(t) = â€""16t2 48t 190.approximately when will the projectile hit the ground?1.5 seconds3.2 seconds5.3 seconds6.2 seconds

Answers

The time for the projectile to hit the ground from the given position is 1.5 s, which is obtained using the concept of time period and velocity of a projectile.

What is a projectile?

A projectile is defined as an object that has the force of gravity as the only force occurring on it. Acceleration in the projectile motion always acts vertically.

Calculation of the time taken by projectile to hit the ground

The given parameters:

The starting velocity of the projectile, u = 48 ft / s

Height of the projectile, h = 190 ft

Model of the projectile path, h(t) = - 16(t)2 + 48t + 190          —-- 1

When the projectile hits the ground, the final velocity, v = 0

differentiating equation 1 w.r.t t, we get,

(dh(t)) / (dt) = - 32t + 48

Putting dh(t) / dt = 0, we have,

- 32t + 48 = 0

32t = 48

t = 48 / 32

t = 1.5 s

Hence, the time taken by the projectile to hit the ground is 1.5 s.

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Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
X(-11,0), Y(-11,-8), Z(-1,-4)

Answers

The triangle with vertices located at X(-11 , 0), Y(-11 , -8), and Z(-1 , -4) has its centroid located at (-23/3 , -4).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) = X(-11 , 0)

Point 2(x2 , y2) = Y(-11 , -8)

Point 3(x3 , y3) = Z(-1 , -4)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(-11 + -11 + -1)/3 , (0 + -8 + -4)/3]

C(x ,y) = (-23/3 , -12/3)

C(x ,y) = (-23/3 , -4)

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Round 3,487,967 to the nearest ten thousands

Answers

Answer:

3,490,000

Step-by-step explanation:

3,487,967 = (87967) The 7 rounds up so the 8 would become 9.

3,490,000 would be your answer

Example 8
A school received a shipment of laptops and tablets purchased for $35,100 for their new
computer lab. Each tablet cost $375 and each laptop cost $850. If the school ordered 3 times as
many laptops as tablets, then which of the following is the number of laptops in the shipment?

Answers

The shipment contained 12 tablets and 36 laptops.

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the number of tablets and y represent the laptop.

Each tablet cost $375 and each laptop cost $850, hence:

375x + 850y = 35100  (1)

Also:

y = 3x   (2)

From both equations:

x = 12, y = 36

The shipment contained 12 tablets and 36 laptops.

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Does the following expression have a value greater than 2? - 3+ (+4) +2

Answers

Yes, the resulting value of the expression is 3 which is greater than 2.

Expression:

Expression is defined as a  combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

An expression contains the following:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given,

Expression = -3 + (+4) + 2

Here we need to check the resulting value of the expression is greater than 2 or not.

For that, first we have to simplify the given expression,

Then,

=> -3 + ( 4 + 2)

=> -3 + 6

=> 3

Now, we have know that 3 is greater than 2.

So, the expression is greater than 2.

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the data to the right represent the top speed​ (in kilometers per​ hour) of all the players​ (except goaltenders) in a certain soccer league. find ​(a) the number of​ classes, ​(b) the class limits for the second ​class, and ​(c) the class width.

Answers

B the classed limit for the second class

The function g is defined as follows
g(x)=2x^2-7
If the graph is translated vertically downward by 3 units, it becomes the graph of a function h
FIND THE EXPRESSION OF h(x)
H(X)=

Answers

Here is how the function g is defined.

g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.

Given that,

Here is how the function g is defined.

g(x)=2x²-7

The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.

We have to find the function of h(x).

Translation of the quadratic function.

A quadratic function is presented in the form where in its standard form.

f(x)=a(x-h)²+k

Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.

h(x)=g(x)+k

Where g(x)=2x²-7 and k=3

h(x)=g(x)+3

h(x)=2x²-7+3

h(x)=2x²-4

Therefore, the function of h(x)=2x²-4.

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question 15(multiple choice worth 1 points) (03.02 lc) abcd is a rectangle. what is the value of x? rectangle with length 56 m, width x m, and diagonal 65 m 9 meters 28 meters 33 meters 65 meters

Answers

The width of the rectangle is: 33m, by Pythagoras theorem.

What is Pythagoras Theorem?The Pythagorean Theorem describes a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Now,

given:

Length of rectangle = 56m (say, l)Diagonal = 65m (say, d)

TO find: Width of rectangle = ? (say, w)

Finding:

BY Pythagoras theorem, in the rectangle ABCD,

For l = AB, w = BC and d = AC,

=> l² + w² = d²

Ob substituting the values, we get: 56² + w² = 65²

=> w² = 65² - 56²

=> w² = 4225 - 3136

=> w² = 1089

=> w = 33m

Hence, for the given values of rectangle, the width of the rectangle is 33m by Pythagoras Theorem.

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hello ! how's you're day, I hope it's doing good Im proud of ur work !

Answers

Answer:

thanks, I needed That

Step-by-step explanation:

brainliest

URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?

Answers

Answer:

3.35kg

Step-by-step explanation:

Answer:

Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

Step-by-step explanation:

a store normally sells windows at $100 each. This week the store is offering one free window for each purchase of 4. Dave needs 7 windows and Doug needs 8. How much money will they save if they purchase together rather than separately?

Answers

They will save $100 if they purchase together rather than separately.

If this week, the store is offering one free window for each purchase of 4, then the price of 5 windows will be just equal to the price of 4.

1 window = $100

5 windows = 4 x $100 = $400

If

Dave needs 7 windows  

Doug needs 8 windows

total they need together = 7+8 = 15 windows.

Buying at the offer of $400/5 windows,

they should buy 3 sets of 5 windows.

3 x 5 = 15

cost when bought together : 3 x $400

cost when bought together : $1200

If they bought separately,

Dave : 7 = 5 + 2

cost = $400 + 2($100)

cost = $600

Doug : 8 = 5 + 3

cost = $400 + 3($100)

cost = $700

cost when bought separately : $600 + $700

cost when bought separately : $1300

compare the two total costs and to determine how much they will save.

$1300 - $1200 = $100

They will save $100 if they purchase together rather than separately.

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There are 140 cars in a parking lot. Keisha looks at 15 cars and sees that two of them are red. Aproximately, how many red cars are in the parking garage?

Answers

if she looked at 15 and saw that two were red we can safely assume that every 15 cars there are at least 2. we can assume there are at least 9 cars that are red.
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