Mr. Mustard said: "If you add the ages of my
two daughters, plus my age, the sum ls 70.
Mr. Mustard's daughters are 15 and 11 years
old. How old is Mr. Mustard?

Answer:

x = 12

Step-by-step explanation:

2 * 12 = 24

24 - 8 = 16

x = 12

Answer:

x=12

Step-by-step explanation:

2(x-4)=16  Distribute:

2x-8=16  Isolate the variable:

   +8  +8

   2x=24  Divide:

     x = 12

Check: 2(12-4)=16

             24-8=16

                16=16

Hope this helps :)

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

Answer:180 °

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

The only numbers that are possible to be divided into 180 are these: 30, 45, 60, 90, & 180.

Now to figure out if this figure is symmetrical. It is. Why? Because you can put at least one line through each triangle. 8 in total but 180 cannot be divided by 8. So you could maybe split it in half. 180/4= 45

45x2= 90

Easy: Since there are now, two halves, since it is split up, it could be possible that the answer could be 90. Because 180/2 halves= 90.

The answer is 90

y = sqrt(x^2 + 1)  is the Cartesian equation of the curve.

The direction of the arrow indicating the trace of the curve would be to the right.

To eliminate the parameter, we can solve for t in terms of either x or y using the identities:

cosh^2(t) - sinh^2(t) = 1

or

cosh(t)^2 = sinh(t)^2 + 1

Since x = sinh(t), we can solve for t as:

t = sinh^(-1)(x)

Substituting into y = cosh(t), we get:

y = cosh(sinh^(-1)(x))

Using the identity above, we can simplify this to:

y = sqrt(x^2 + 1)

This is the Cartesian equation of the curve.

To sketch the curve, we can plot points using various values of x and y. The curve is a hyperbola that opens upwards and downwards, with the vertex at (0,1) and asymptotes given by y = x and y = -x. As the parameter t increases, the curve moves to the right. Therefore, the direction of the arrow indicating the trace of the curve would be to the right.

To know more about Cartesian visit :

https://brainly.com/question/29298525

#SPJ11

Here are three current job openings in the sports industry along with details about the positions and my opinion about each opportunity:1. Social Media Coordinator at the National Football League (NFL):The Social Media Coordinator at the NFL will be responsible for executing the NFL's social media content strategy across various social media platforms.

This includes creating and publishing content, analyzing data and performance, and staying up to date on social media trends. The position requires a Bachelor's degree and 2-3 years of experience in social media management or related field. My opinion about this opportunity: The NFL is a well-known and highly respected organization in the sports industry, and working as a Social Media Coordinator for them would be an excellent opportunity for someone with experience in social media management.2. Sales Associate at Nike: Nike is currently hiring a Sales Associate at one of their retail stores.

The Sales Associate will be responsible for delivering excellent customer service, maintaining product knowledge, and achieving sales goals. The position requires a high school diploma or equivalent and some retail or customer service experience. My opinion about this opportunity: Nike is a global leader in the sports industry, and working as a Sales Associate at one of their retail stores would provide valuable experience in sales and customer service.3. Communications Intern at USA Volleyball: USA Volleyball is offering a Communications Internship that will give students hands-on experience in sports communication. The intern will assist with creating content for various USA Volleyball platforms, including social media and email marketing. The position is unpaid, but college credit is available. My opinion about this opportunity: This internship would be an excellent opportunity for a student interested in pursuing a career in sports communication. Although the position is unpaid, the experience and skills gained would be invaluable.

To know more about content visit:

https://brainly.com/question/32405236

#SPJ11

Answer:

Step-by-step explanation: i dont get what your trying to say, is this math?

0.8+0.3m+0.6-0.5m = 0.4

or, 1.4-0.2m=0.4

or, -0.2m = 0.4 - 1.4

or, -0.2m = -1

or, m = -1/-0.2 = 10/2 = 5

The answer is 5.

Please do mark me Brainliest.

By calculating the cost per yard, Marianne can compare the options and determine which one offers the best value for her quilting project. In this case, option 3 has the lowest cost per yard, making it the most cost-effective choice.

To determine how much each piece of fabric costs per yard, Marianne can divide the cost of each option by the number of yards in that option.

Let's calculate the cost per yard for each option:

Option 1:

Cost = $12

Yards = 6

Cost per yard = $12 / 6 = $2 per yard

Option 2:

Cost = $14

Yards = 8

Cost per yard = $14 / 8 = $1.75 per yard

Option 3:

Cost = $16

Yards = 10

Cost per yard = $16 / 10 = $1.60 per yard

To know more about number visit;

brainly.com/question/24908711

#SPJ11

Answer:

1 meter :))) yeah points pls

Answer:

0.75 ounce

Step-by-step explanation:

64 candles= 16 ounce

3 candies= x ounce

(cross multiplication)

x= (3×16)÷64= 0.75 ounce

hope it helps

Answer:

Step-by-step explanation:

M^2 -2m -35

Answer:

m² - 2m - 35

Step-by-step explanation:

(m + 5)(m - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

m(m - 7) + 5(m - 7) ← distribute parenthesis

= m² - 7m + 5m - 35 ← collect like terms

= m² - 2m - 35

Answer:

40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)

Step-by-step explanation:

Before the merger, there are 300 and 900 students in campuses in the north and south.

A substitute is somebody or a thing that steps in to replace the initial. To replace as a verb implies to implement such a change. Although the word substitute is used in many different situations, it is probably most often connected to substitute teachers and athletes who step in to perform in place of another participant in a team activity.

Let N=total students at North campus

Let S=total students at South campus

Given

North campus merged with South campus to create east campus of 1200 students

Eq 1, total students: N+S=1200

Eq 2, women: 0.10N+0.50S=0.40*1200=480

Step 1: N+5S=4800 multiply eq 2 by 10

Step 2: N=1200-S solve for N in eq1

Step 3: (1200-S)+5S=4800 substitute step 2 into step 1

Step 4: 4S=3600 group similar terms

Step 5: S=900

Step 6: N=1200-S

Therefore,

N=1200-900=300

Validate

Go to eq1 and eq2 substitute S=900 and N=300

N+S=300+900=1200 checked

0.1N+0.5S=480

= 0.1*300+0.5*900

= 30+450

= 480 checked

To know more about Substitute visit:

https://brainly.com/question/22340165

#SPJ1

Answer:

5x+6= 10x-8

14= 5x

x= 2.8

Step-by-step explanation:

Answer:

275

Step-by-step explanation:

If you take 220 is 80% of 225, so the answer is 275

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Answer:

a³-9a

a³-9a

=a(a+3)(a-3)

Answer:

D

I'm not really sure with my answer,, but ai think it d heheheheh

Answer:

-17/12, -13/6, and 29/24 respectively.

Step-by-step explanation:

Just plug it in

H(3) = -(3/4)(3) + 5/6 = -17/12

H(4) = -(3/4)(4) + 5/6 = -13/6

H(-1/2) = -(3/4)(-1/2) + 5/6 = 29/24

Answer:  It cost  $1.86 per pound.

Step-by-step explanation:

To find the cost per pound, divide the  cost by the number of apples.

7.44 / 4 = 1.86

Negative x positive = negative

Negative x negative = positive

-4 x 8 = -32

-4 x -1 = 4

-4 x -5 = 20

-4 x 9 = -36

Answer: |-32 4 20 -36|

Answer:

The scale factor is 1/4.

Step-by-step explanation:

Dilations

Quadrilateral A'B'C'D' is the result of dilation of quadrilateral ABCD by a scale factor.

To find the scale factor, we compare the measures of the side lengths from consecutive vertices of each quadrilateral.

From A to B, there are 4 units. From A' to B' there is one unit. This gives a scale factor of 1/4.

This happens with the rest of the measures.

From B to C there are 4 horizontal and 4 vertical units. From B' to C' there is one unit of each dimension.

This pattern can be confirmed by comparing any pair of vertices of each quadrilateral, thus we can conclude:

The scale factor is 1/4.

To find the area of the second figure, we need to use the fact that the figures are similar. This means that the corresponding sides are proportional.

Let's say that the length of a side of the first figure is x. Then, the length of the corresponding side of the second figure is kx, where k is the scale factor. We know the perimeter of the first figure, so we can write: 4x = perimeter of first figure
Similarly, we know the perimeter of the second figure, so we can write: 4(kx) = perimeter of second figure
We can solve for k by dividing the second equation by the first:
4(kx) / 4x = perimeter of second figure / perimeter of first figure
Simplifying, we get: k = perimeter of second figure / perimeter of first figure
Now we can use k to find the length of a side of the second figure:
kx = (perimeter of second figure / perimeter of first figure) x
We can then use this side length to find the area of the second figure: Area of second figure = (side length)^2
Remember to round to the nearest tenth.

To know more about perimeter visit:-

https://brainly.com/question/6465134

#SPJ11

Answer: h = 6

explanation:

first u get h by itself

4h + 6 = 30

subtract 6 from both sides

4h = 24

divide by 4 on both sides

h = 6

Answer:h=3/13

Step-by-step explanation: Subtract 6  from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h  from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.

Answer:

y = -3x + 1

Step-by-step explanation:

hope this is right!

Answer:

B=54

C=54

Step-by-step explanation:

180-72=108

108/2=54

54*2=108

108+72=180

Answer:

641799

Step-by-step explanation:

274561

+367238

641799

The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.

Let, then we could reasonably assume that follows a binomial distribution.

Given P = 0.01 and n = 29

P(x) = nCx.px.(1-p)^(n-x)

nCx = n! [x!-(n-x)!]

P = P(X<=1).

X<=1, if X = 0 and X = 1,

P(0) + P(1)

P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717

P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)

P(1) = 0.21887

P = P(0) + P(1)

P = 0.74717+0.21887 = 0.9660

So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

I can be measured by a displacement can

There are always many ways to move a shape from one location to another location on a page due to the inherent flexibility and freedom of positioning offered by two-dimensional space, combined with the numerous variables involved in the placement of objects.

The two-dimensional nature of a page allows for an infinite number of positions within its boundaries. This inherent flexibility provides multiple options for moving a shape from one location to another. Furthermore, numerous variables contribute to the placement of objects on a page, such as size, orientation, and relationships with other elements.

Firstly, the freedom offered by two-dimensional space means that a shape can be placed anywhere within the boundaries of the page. This allows for a wide range of possibilities when deciding on the shape's position. A shape can be moved horizontally, vertically, or even diagonally, enabling endless potential arrangements.

Secondly, the variables involved in object placement add to the diversity of options. The size of the shape plays a significant role in how it can be positioned. A smaller shape may have more potential locations within a given space, while a larger shape may have fewer possibilities. Additionally, the orientation of the shape, such as rotation or flipping, further expands the number of ways it can be moved.

Furthermore, the relationship between the shape and other elements on the page influences its potential positions. Objects can be arranged in various configurations, such as overlapping, aligning, or grouping, leading to different visual effects and spatial relationships.

In conclusion, the combination of the inherent flexibility of two-dimensional space and the variables involved in object placement on a page results in numerous ways to move a shape from one location to another. This allows for creative expression, adaptability to design requirements, and the possibility of achieving specific visual outcomes.

For more questions on two-dimensional space

https://brainly.com/question/12734357

#SPJ8