A box, containing 25 bolts and 25 washers, has a mass of 475 g. Another box, containing 17 bolts and 34 washers, has a mass of 442 g. Determine the mass of one bolt and the mass of one washer

Answers

Answer 1

Answer:

bolts=12g and washers=7 g

Step-by-step explanation:

honestly, i tried to solve this by hand and made an error somewhere, but i set up two equations, then tried to use elimintation to solve for one variable. but in the end i went to my trusty calculator and created a matrix, then used the rref math to solve. sorry i couldnt be of more help


Related Questions

a food company can produce 732,291,285crackers per hour. A second food company can produce 732,341,285 crackers per hour.Which company can produce more crackers per hour. explain how you found your answer ​

Answers

Answer:

the second company

Step-by-step explanation:

the second company produces 50,000 more crackers an hour than the first company

In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.

What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:

Answers

Answer:83.3

Step-by-step explanation:

What is the volume of a regular triangular pyramid with an apothem of 2.3ft, a side length of 8ft and a height of 25 feet

Answers

☞ANSWER☜

230FT

Regular tetrahedron

Solve for volume

V≈1.15×107

Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.

There are 30 students in a seventh grade class who attend after school activities.
• Of the students, 5 take music lessons.
3
• Of the students, 5 play a sport.
• The remaining students go to drama club.
How many students go to drama club after school?
O A. 11 students
OB.
23 students
O C.
7 students
OD
15 students

Answers

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

4) To estimate the height of your home, you measure its shadow. The shadow of your home is 5.5 feet.
The shadow of the 10 foot tree has a shadow of 2.5 feet. Find the height of your home. Show all work.

Answers

Answer:

1.375 ft

Step-by-step explanation:

10/2.5 = 4

5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find x. Round your answer to the nearest tenth of a degree.
A
27
18
to
B
С
x = _(blank)

Answers

I think it 32.44 try that am

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

20?

Step-by-step explanation:

Answer: 8.9

Step-by-step explanation:

To find the hypotenuse, use the formula [tex]a^2 + b^2 = c^2[/tex]

The two "legs" are a and b (it doesn't matter which leg is a and which leg is b), but the most important thing is that the hypotenuse is c.

So, we now know that we have to solve for c. To solve for c, substitute the values shown in the image for a and b.

[tex]a^2 + b^2 = c^2[/tex]

[tex]8^2+4^2=c^2[/tex]

[tex]16 + 64 = c^2[/tex]

[tex]80 = c^2[/tex]

[tex]\sqrt{80}[/tex] = c

Use a calculator, and after rounding, you get 8.9

The diagram shows a cylindrical tank.
The radius is 30 cm and the height is 80 cm.

(a) Calculate the area of the base of the tank.

(b) Calculate the volume of the tank in litres.​

Answers

Step-by-step explanation:

a) A=π302=900π CM2 =2,827 CM 2

b) V=Ah=900=72000 π cm 3 = 226,195 cm3

Solve for x PLEASE HELP DUE TODAY!!!

Answers

Answer:

x = 4

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

Find the measure of the angle, round to the nearest tenth: Sin X = .7547

Answers

SIN(x) = .7547
X = INVERSE-SIN(.7547)
X = 49.0 degrees

hellpppppppppspspspspspspsp

Answers

I'd say 13, hope this helps

Step-by-step explanation:

I think it’s 13 sending good vibes your way

A={the letters of the word ,HIPPOPOTAMUS}​

Answers

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

The letters of hippopotamus is H-I-P-P-O-P-O-T-A-M-U-S

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

I’m sowy, I didn’t really understand your question... did you want to learn about a hippopotamus? If so, please tell me in the comments I would answer there too!

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

if the length is 9 cm,breadth is 10 cm and volume of cuboid is 1800cm cube ,,find the height and total surface area of cuboid,​

Answers

Answer:

the height is 20 cm.

tsa is 940 cm square

Step-by-step explanation:

volume of cuboid = l*b*h

1800 = 9*10*h

h= 20 cm

TSA = 2(L*B+ B*H + L*H)

= 2(9*10 + 10*20 + 9*20)

=940 cm square

The height of the cuboid will be 20 cm

The total surface area of cuboid will be 940 cm²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The length of cuboid = 9 cm

The breadth of cuboid = 10 cm

And, The volume of cuboid = 1800 cm³

Now,

We know that;

Volume of cuboid = Length × Breadth × Height

⇒ 1800 = 9 × 10 × h

⇒ 1800 / 90 = h

⇒ h = 20 cm

And, The total surface area of cuboid = 2lw + 2lh + 2hw

Substitute all the values, we get;

⇒ The total surface area of cuboid = 2 (9 × 10 + 9 × 20 + 20 × 10)

                                                      = 2 (90 + 180 + 200)

                                                      = 2 × 470

                                                      = 940 cm²

Learn more about the multiply visit:

brainly.com/question/14176303

#SPJ2

Pls help ill give u brainlest!! 40 points

Hakeem owns seven less than 3/5 the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.

Answers

Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

Manuel owns 5 DVDS

Explanation: 3/5 =12/20

12-7 = 5

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Answers

Answer:

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

Step-by-step explanation:

Given

[tex]Zeros: -5,-2,2[/tex]

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

[tex]f(x) = (x - a)(x - b)(x - c)[/tex]

So, we have:

[tex]Zeros: -5,-2,2[/tex]

[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]

Open the inner brackets

[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]

Expand the difference of two squares

[tex]f(x) = (x +5)(x^2 - 4)[/tex]

Expand

[tex]f(x) = x^3 +5x^2-4x-20[/tex]

A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?

Answers

Answer:

[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]

Answer:

1.24 ft

Step-by-step explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft

Answer this question please ASAP!!

Answers

A or the first answer shown

Answer:

No it is not close to half of the data below the mean and half the data above the mean

Is pop or country your favorite type of music?

Change This into a neutral question

Answers

I like both but I tend to choose pop! :)

two congruent squares are shown in figures 1 and 2 below

Answers

Answer:

Equal to, c^2, a^2+b^2, a^2 + b^2 = c^2

Answer:

The combined area of the shaded triangles in Figure one is equal to the combined area of the shadead triangles in figure 2. The area of the unshaded square in Figure 1 can be represented by c^2. The combined area of the two unshaded squares in Figure 2 can be represented by a^2+b^2. The areas of the squares in Figure 1 and Figure 2 who that a^2+b^2=c^2.

Step-by-step explanation:

I'm right and if you think I'm wrong then you're wrong

The quality-control manager at a compact flourescent light bulb factory wants to test the claim that the mean life of a large shipment of cfls is equal to 6500 hours. the population standard deviation is 500 hours. a random sample of 50 cfls indicates a sample mean life of 6,700 hours and sample standard deviation is 600 hours.
Critical values, where P(Z > Z) - a and P(t >) - a 2016-1282 20.06-1645 20.02 -1.960 10.10. - 1.299 10.06.45 - 1677 foto - 2010 1.115 pt.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 6,500 hours?
b. Compute the p value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the CFLs.
d. Compare the results of (a) and (c). What conclusions do you reach?

Answers

Answer:

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. CI [6583.336 ,6816.336]

d.  The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

Step-by-step explanation:

Population mean = u= 6500 hours.

Population standard deviation = σ=500 hours.

Sample size =n= 50

Sample mean =x`=  6,700 hours

Sample standard deviation=s=  600 hours.

Critical values, where P(Z > Z) =∝ and P(t >) =∝

Z(0.10)=1.282  

Z(0.05)=1.645  

Z(0.025)=1.960  

t(0.01)(49)= 1.299

t(0.05)= 1.677  

t(0.025,49)=2.010

Let the null and alternate hypotheses be

H0: u = 6500 against the claim Ha: u ≠ 6500

Applying Z test

Z= x`- u/ s/√n

z= 6700-6500/500/√50

Z= 200/70.7113

z= 2.82=2.82

Applying  t test

t= x`- u /s/√n

t= 6700-6500/600/√50

t= 2.82

a. At the 0.05 level of significance,  there is evidence that the mean life is different from 6,500 hours.

Yes we reject H0  for z- test as it falls in the critical region,at the 0.05 level of significance, z=2.82 > z∝=1.645

For t test  we reject H0   as it falls in the critical region,at the 0.05 level of significance, t=2.82 > t∝=1.677 with n-1 = 50-1 = 49 degrees of freedom.

b. The p value= ≈ 0.00480 for z- test which is less than 0.05 and H0 is rejected .

The p value= 0.006913 for t- test which is less than 0.05 and H0 is rejected for 49 degrees of freedom.

c. The 95 % confidence interval of the population mean life is estimated by

x` ±  z∝/2  (σ/√n )

6700± 1.645 (500/√50)

6700±116.336

6583.336 ,6816.336

d. The range of CI [6583.336 ,6816.336] tells that the cfls having a different mean life lie in this range.

A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?

A. 30-35

B. 65-70

C. 130-135

D. 265-270

Answers

Answer:

Step-by-step explanation:

B?

move two choices to the blanks to correctly complete the sentences.

Answers

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

[tex]S = \{HH,HT,TH,TT\}[/tex] -- Sample Space

[tex]n(S) = 4[/tex] --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]

[tex]P(HT) = \frac{1}{4}[/tex]

Multiply this by the number of tosses

[tex]P(HT) * n= \frac{1}{4} * 20[/tex]

[tex]P(HT) * n= 5[/tex]

Solving (b); experimental probability of HT

Here, we make use of the table

[tex]P(HT) = \frac{n(HT)}{n(S)}[/tex]

[tex]P(HT) = \frac{6}{20}[/tex]

[tex]P(HT) = 0.30[/tex] ---- Experimental Probability

In (a), the theoretical probability is:

[tex]P(HT) = \frac{1}{4}[/tex]

[tex]P(HT) = 0.25[/tex] ---- Experimental Probability

By comparison;

[tex]0.30 > 0.25[/tex]

A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?

Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2

Answers

Answer:

Answer is b

Step-by-step explanation:

PYTHAGOREAN THEOREM !! DONT NEED U TO EXPLAIN JUST GIVE ANSWER DONT HAVE TIME FOR THAT !

Answers

Answer:

√14 or 3.74

Step-by-step explanation:

_________________

Answer:

√14 or 3.74

Step-by-step explanation:

x = 3.74

You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?

Answers

Answer:

2/4

Step-by-step explanation:


Jffkdjdjdjdkskkskskskskakskkdkdkskdk

Answers

Answer:

the anser is d

Step-by-step explanation:

Answer:

b) 7x² - 12x√14 + 72

Step-by-step explanation:

Let's solve the problem,

→ (x√7 - 3√8)(x√7 - 3√8)

→ (x√7 - 3√8)²

→ 7x² - 12x√14 + 72

Hence, option (b) is correct.

WILL


GIVE BRAINLIST FOR MATH



....

Answers

9 am.

When the line on the graph is at the lowest for x value it is the lowest temperature.

In the figure below, EC || AB. Find the length of EC.

Select the best choice from the answers provided.
A.) 12.5
B.) 18
C.) 25
D.) 39.6

Answers

Answer:

Letter a)

Step-by-step explanation:

quizlet

Please help me

Find the circumference and the area of this shape

I'll give brainliest ​

Answers

Circumference = 7.5
Area = 176.7
: )^_^^ - ^^o^(*☻-☻*)

What is the surface area of the solid shown below?

Answers

Answer:

[tex]\text{C. }156\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]

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