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Sindrei [870]
3 years ago
12

If y varies directly as x, and y = -85 when x = 5, what is the value of y when x = 19

Mathematics
2 answers:
ziro4ka [17]3 years ago
3 0

Answer:

-323

Step-by-step explanation:

y varies x

make k the unknown

y=kx

-85= 5k

:• k = -17

when x= 19

we can say...

y= -17(19)

y = -323 ✓

beks73 [17]3 years ago
3 0
8.56 is the answer ...........
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Someone help me please! Thank u so much!!
jek_recluse [69]
5. a^2 + b^2 = c^2...where a and b are the legs and c is the hypotenuse
    7^2 + 10^2 = c^2
    49 + 100 =c^2
    149 = c^2....take square root of both sides, eliminating the ^2
     sq rt 149 = c
     12.21 = c.....so the approximate length of 3rd side is 12 m

6. x = number of books bought

7. m < 2 + m < 8 = 180

8. 1000 = 400 + 24x
     1000 - 400 = 24x
     600 = 24x
     600/24 = x
     25 = x <=== 25 months he will have spent $ 1000

5 0
3 years ago
Find the value of each variable. Line / is a tangent
Mashcka [7]

Answer:

a° = 118° , b° = 49° , c° = 144° , d° = 98°

Step-by-step explanation:

* Lets study the figure and take the information to solve the question

- There is a circle

- There is an inscribed triangle in the circle

- Each vertex of the triangle is an inscribed angle in the circle

- Each vertex subtended by an arc

- The measure of any inscribed angle is half the measure of its

  subtended arc

* Now lets solve the question

- The sum of the measures of the interior angles of a triangle is 180°

∵ The triangle has angle of measure 59° and another angle of

   measure 72°

∴ The measure of the third angle = 180° - (59° + 72°) = 49°

∵ b° is the measure of the third angle in the triangle

∴ b° = 49°

- The arc of measure a° is intercept the angle of measure 59°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 a° = 59° ⇒ multiply both sides by 2

∴ a° = 118°

- The arc of measure c° is intercept the angle of measure 72°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 c° = 72° ⇒ multiply both sides by 2

∴ c° = 144°

- The arc of measure d° is intercept the angle of measure 49°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 d° = 49° ⇒ multiply both sides by 2

∴ d° = 98°

4 0
3 years ago
Please help me. I really appreciate it if you answered. Thank you! &lt;3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
3 years ago
Try one last time
Ierofanga [76]

Answer:

$144

Step-by-step explanation:

divide 272 by 17 and then multiply that answer by 9

272/17 is 16

so 16 dollars an hour

multiply that by 9

you get 144

3 0
3 years ago
Consider the data shown on the graph. The y-intercept represents a starting salary of 5 32.500 for a new employee. The slope rep
sasho [114]

Answer:

300

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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