Use the distributive property to remove the parentheses.

-7 ( -2w - 4y + 1 )

Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]

Answer:

A) The three triangles have the same area

B) 10 square units

Step-by-step explanation:

In the figure attached, the triangles are shown.

A) The three triangles have the same area because all have the same base and height (see figure)

B) Area of a triangle = (1/2)*base*height

Area of a triangle = (1/2)*4*5 = 10 square units

Answer:

A) = C

B) = 4.5 cm^2

Answer:

21

Step-by-step explanation:

15/ 5/7 = 21

Answer:

The rabbit population will reach its peak after 10 years.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]p(t) = at^{2} + bt + c[/tex]

The vertex of the function is the point:

[tex](t_{v}, p(t_{v})[/tex]

In which

[tex]t_{v} = -\frac{b}{2a}[/tex]

If a is negative, the vertex is a peak.

In this question:

[tex]p(t) = -4t^{2} + 80t + 1200[/tex]

So

[tex]a = -4, b = 80, c = 1200[/tex]

According to this quadratic function, after how many years will the rabbit population reach its peak

This is [tex]t_{v}[/tex]

[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]

The rabbit population will reach its peak after 10 years.

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

Answer:

Timmy has 3 pennies.

Step-by-step explanation:

If Timmy has 6 pennies at first, and Sarra takes away 3

then 6-3=3, so timmy has three left.

3 because she stole 3. 6-3=3

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

[tex]a+b+c=180[/tex]

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]

Finally the second number is 4 less than the mean:

[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]

Now we have our set of equations and we can proceed to solve them:

[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]

Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:

[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]

Now taking this last result into our first equation we have:

[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]

Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]

[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]

But we know that a =70, so we can substitute it in our last line:

[tex]124=a+c\\124=70+c\\54=c[/tex]

Now we just need to find b and we can use our first original equation to do this:

[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]

Answer:

Step-by-step explanation:

Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;

sin(x) = 0

taking the arcsin of both sides;

[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]

Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°

Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown

x1 =0°

x2 = 180°-0° = 180(2nd quadrant)

x3 = 180°+180° = 360°

x4 = 360°+180° = 540°

x5 = 540°+180°=720°

x6 = 720°+180° = 900°

x7 = 900°+180° = 1080°

We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.

Answer:

76.275

Step-by-step explanation:

First - the entire circles area is 78.54. [tex]\pi r^{2}[/tex] with r being 5

6 triangles of that size could fit in that circle.

A=3[tex]\sqrt{3}[/tex]/(2) * a2

The area of that would equal 64.95

78.54-64.95 = 13.59

then divide that number by 6

which is 2.265.

Take that number from the original 78.54

78.54-2.265 = 76.275

Answer:

C. -6x . -3

Step-by-step explanation:

3 x 2x = 6x

3 x -1 = -3

Answer:

0

Step-by-step explanation:

2(n - 1) + 4n = 2 ( 3n - 1 )

2n - 2 + 4n = 6n - 2

6n - 2 = 6n - 2

6n - 6n = -2 + 2

0 = 0

Answer:

A. 4

Step-by-step explanation:

leading zeros not included and the sig figs start from the first 1 so 4 sig figs

Answer:

4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

10% of 90 is 9

Step-by-step explanation:

10% of a number is like taking 1/10 of the original number.

I dont want to give you the exact equation so u wont be copying- here is an example.

let x=grams of salt that you already have

let y=grams of salt that need to be added

let z=total amount of salt in the solution after adding salt

We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:

x=.25*400g

x=100g

Therefore, there are 100 grams of salt already in the solution.

Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:

z=100g+y

The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:

400g+y=total amount of solution after adding salt.

This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.

Therefore, the second way to express z is below:

z=.40*(400g+y)

After we have two equations for z, we can set them equal to each other as follows:

100g+y=.40*(400g+y)

We then can distribute the .40 over the parenthesis.

100g+y=160g+.40y

And then we can subtract 100 grams from both sides of the equation.

y=60g+.40y

Next, we subtract .40 y from both sides of the equation to get y on one side.

.6y=60g

Finally, we can divide both sides by .6 to isolate y.

y=100g

Therefore, you must add 100g of salt to the solution to make it 40 percent salt.

DID I DO IT RIGHTT?? pls tell me

Answer:

-2,-1,1,2

Step-by-step explanation:

The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.

Answer:

GCF 32 and 40

Step-by-step explanation:

GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0

Answer: The answer is given below

Step-by-step explanation:

From the question, we are told that James has a lot of games and his friend Samuel, has 4 times as many games as James.

So let the number of games that James has be denoted by g.

Since Samuel has 4 times as the number of games that James has, then Samuel's game will be

= 4 × g

= 4g

Therefore, the expression for James will be g and the expression for the number of games Samuel has is 4g.

Answer:

14.135

Step-by-step explanation:

6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135

Answer:

14.13 units ^2

Step-by-step explanation:

A= 3.14 (3)^2 (area of a circle)

A= 28.26 / 2 (divide to find half of the circle)

A=14.13 units ^2

Answer:

The given table is

Hours.    Earnings per hour.

  0

  4

  8

 12

Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.

[tex]0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99[/tex]

Hours.    Earnings per hour.

  0                     0

  4                      33

  8                     66

 12                      99

Answer:

i think 14:6 is correct but im not too sure

Answer:

[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]

n ∈ Z

[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]

Answer:

a

Step-by-step explanation:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

Answer:

A

Step-by-step explanation:

Answer:

AD is a diameter, then AFD = 180 deg

BFC = 180 - BFA - CFD = 180 - 57 -76 = 47 deg

BAC = (1/2)BFC = (1/2) x 47 =23.5 deg

Hope this helps!

:)

Answer:

313°

Step-by-step explanation:

We want to find the measure of the major arc BAC, which we notice is actually made up of multiple arcs: AED, BA, and CD. So we can write this as:

arc BAC = arc BA + arc AED + arc CD

We already know that arc CD = 76 degrees. We also know that the angle AFB is 57 degrees. Notice that AFB is a central angle, so by definition of central angles and their corresponding arcs, angle AFB is equal to the measure of arc BA. So, arc BA = 57 degrees.

Finally, look at arc AED. This is a semicircle, so by definition, it is 180 degrees. Now plug all these values into the equation:

arc BAC = arc BA + arc AED + arc CD

arc BAC = 57 + 180 + 76 = 313

The answer is 313°.

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

Answer: not have filed a claim: 0.132

Will have filed a claim 0.165

Step-by-step explanation: I got this right on Edmentum

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!

Answer:

surburu

Step-by-step explanation:

Answer:

B. [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

I got this question correct. :)

P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)

P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]

Apologies for lack of explanation, but I think this will do it.

Answer:

Keep it as 1.

Step-by-step explanation:

If it is 0 then there is no slope.

Answer:

"I think there are a whole bunch of points that are 3 units away from (-5, 0)". Lin's statement is correct.

Step-by-step explanation:

from the question, the point has a coordinate (-5, 0) which can be plotted on a Cartesian plane to show its location or position. A Cartesian coordinate is a system that consists of two perpendicularly intersecting axis used for plotting of the locations or positions of given points.

There are a whole bunch of points that are 3 units away from (-5, 0) because real numbers that are 3 units away are more than 4. Real numbers consists of all rational numbers, fractions and irrational numbers. So if all real numbers that are 3 units away from (-5, 0) are plotted, then the points would be more than 4.

Therefore, Lin's statement is correct.

Answer:

the answer is step 3 because the circle on the number line is open.

pls make mine as the  Brainliest answer that would really help

Mariya's mistake in solving the inequality and plotting the number line is in step 3

The inequality is given as:

[tex]\frac{a}{-13} \le -16[/tex]

Multiply both sides of the inequality by -13

[tex]a \ge 208[/tex]

The above means that the solution to the inequality are numbers greater than or equal to 208.

This means that we make use of a closed circle

In step 3 of Mariya's solution, the number line uses an open circle

Hence, Mariya's mistake is in step 3

Read more about inequality at:

https://brainly.com/question/11234618

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