Write the equation of the line passing through the given point with the indicated slope. Give your results in slope-intercept form.
Point : (0,5)
Slope: m=-3/5

Answers

Answer 1
Answer: y-y+o=m(x-x_o)\n \n y-5=-(3)/(5)(x-0)\n \n y-5=-(3)/(5)x\n \n \boxed{y=-(3)/(5)x+5}

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How many three-digit numbers are there such that the first two digits are even and the last digit is odd? Answer is a whole number.

Answers

221
223
225
227
229
241
243
245
247
249
261
263
265
267
269
281
283
285
287
289
421
423
425
427
429
441
443
445
447
449
461
463
465
467
469
481
483
485
487
489
621
623
625
627
629
641
643
645
647
649
661
663
665
667
669
681
683
685
687
689
821
823
825
827
829
841
843
845
847
849
861
863
865
867
869
881
883
885
887
889
80 three-digit numbers 
(just to make sure, check)

your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell?

Answers

Let s be the number of student tickets and a be the number of adult tickets.
s + a = 85; a = 85 - s
Also,
5s + 10a = 600

Substituting a from the first equation
5s + 10(85 - s) = 600
-5s = -250
s = 50
a = 85 - 50 = 35
The school sold 50 student tickets and 35 adult tickets.

-\dfrac{1}{6} \times \left(-\dfrac{9}{7}\right)− 6 1 ​ ×(− 7 9 ​ )minus, start fraction, 1, divided by, 6, end fraction, times, left parenthesis, minus, start fraction, 9, divided by, 7, end fraction, right parenthesis

Answers

Answer:

  (3)/(14)

Step-by-step explanation:

The even number of minus signs means the product will be positive. A factor of 3 can be removed to simplify the product. As usual, the numerator of the product is the product of numerators, and the denominator of the product is the product of denominators.

  -(1)/(6) * \left(-(9)/(7)\right)=(1\cdot 9)/(6\cdot 7)=(3\cdot 3)/(3\cdot 14)=\boxed{(3)/(14)}

The answer to the expression \(-(1)/(6) * \left(-(9)/(7)\right) - (1)/(6) * \left(-(9)/(7)\right)\)  is 0.

In this expression, we have two terms that are identical: \(-(1)/(6) * \left(-(9)/(7)\right)\) and \(-(1)/(6) * \left(-(9)/(7)\right)\).

When we multiply a negative number by another negative number, the result is positive.

So, both of these terms become positive, and since they are identical, when we subtract one from the other, we get zero.

Now, let's provide a more detailed explanation.

When we multiply \(-(1)/(6)\) by \(-(9)/(7)\), we first multiply the numerators to get 9 and the denominators to get 42.

So, \(-(1)/(6) * \left(-(9)/(7)\right) = (9)/(42)\).

Now, we can simplify \((9)/(42)\) by dividing both the numerator and denominator by their greatest common divisor, which is 3.

So, \((9)/(42)\) simplifies to \((3)/(14)\).

Therefore, the expression becomes \((3)/(14) - (3)/(14)\), and when we subtract these two identical fractions, the result is indeed 0.

for such more questions on expression

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A triangular pyramid has a surface area of 336 square inches. It is made up of equilateral triangles with side lengths of 12 inches. What is the slant height?

Answers

Given:
Surface Area = 336 sq. inches
side lengths = 12 inches
equilateral triangles

find the slant height.

Area of an equilateral triangle = √3/4 * a² = √3/4 * (12in) = 62.35 in²
Perimeter = 3 a = 3 * 12 = 36 inches

Surface Area = Base Area + 1/2 Perimeter * Slant height
336 in² = 62.35 in² + 1/2 * 36 in * slant height
336 in² - 62.35 in² = 1/2 * 36 in * slant height
273.65 in² * 2 = 36 in * slant height
547.30 in² = 36 in * slant height
547.30 in²  / 36 in = slant height
15.20 in = slant height.

It is actually fourteen...you didvide 336 by 12 and since that slant is a triangle based shape you divide that by the quotient of 336\12, which is 14. Sorry if it’s a little confusing

Anna had a solid wooden dowel with a length of 12 inches and a diameter of 1 inch, as shown below. She cut a two-inch portion out of the dowel as indicated. What was the volume, to the nearest tenth of a cubic inch, of the portion of the dowel that Anna cut out?

Answers

Answer:

Volume of the portion = 1.6 cubic inches

Step-by-step explanation:

Since, wooden dowel is in the shape of a cylinder,

Formula to be used to find the volume of the part Anna has cut from the dowel will be,

Volume = πr²h

Where r = radius of the cylinder or part of the wooden dowel

h = length of the portion

By substituting the values in the formula,

Volume = π(0.5)²(2)

             = 0.5π

             = 1.57 in³ ≈ 1.6 cubic inch

Therefore, volume of the portion will be 1.6 in³.

10 times as many as hundreds is 60 hundreds or thousands

Answers

60 hundreds if it says hundreds then it would still be that