what is the measure of the angle?
5
a 53.1°
b. 36.9°
C. 30.10
d. 590

Answer:

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

Step-by-step explanation:

Syrup A : 2 parts sugar , 8 parts of water .

Total = 10 parts

Syrup B : 3 parts sugar , 5 parts of water .

Total = 8 parts .

Mixture required 280 quarts , 3 parts sugar , 7 parts water

In 280 quarts , sugar = 280 x 3  / ( 3 + 7 )

sugar = 84 parts

Let volume of syrup A be x , volume of syrup B = 280 - x

sugar A =  2 x / 10 = 0.2 x

sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )

Total sugar =  .2 x + .375 ( 280 - x ) = 84 .

.2 x + 105 - .375 x = 84

105 - 84 = .375 x - .2 x = .175 x

.175 x = 21

x = 21 / .175 = 120

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Given that,

John has two different sugar syrups.

Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.

We have to determine,

How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

According to the question,

Syrup A: 2 parts sugar, 8 parts of water.

Total number of parts = 10 parts

Syrup B : 3 parts sugar, 5 parts of water.

The total number of parts  = 8 parts.

The mixture required 280 quarts, 3 parts sugar, 7 parts water,

In 280 quarts, parts of sugar are,

[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]

Let the volume of syrup A be x,

And the volume of syrup B be 280 - x

[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]

[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]

The total amount of sugar is,

[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]

Therefore,

The volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts

Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

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Answer 1: 5x + 4

Answer 2: 9m + -10y

Step-by-step explanation:

To simplify 3x + 9 + 2x − 5, you have to find the like terms which are 3x and 2x, and 9 and -5. So you get 3x + 2x + 9 - 5 which gives you the result of 5x + 4. Now to simplify 7m + 2 (m − 5y), you have to distribute first, so 7m + (2) (m) + (2) (−5y) which gives you 7m + 2m + −10y. So now you just have to add. 7m + 2m = 9m and then you have -10y so basically the answer is 9m + -10y.

I hope this helps you bro

Answer:

Step-by-step explanation:

8q+6=4q-14

minus 4q from both sides to get

4q+6=-14

-6 from both sides

4q=-20

divide by 4

q=-5

we can check if this is right by implementing -5 as a substitute for q

-40+6=-20-14

-34=-34

Answer:

y=1/4x+6

Step-by-step explanation:

The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.

9514 1404 393

Answer:

  D.  y = -3x +4

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...

  y = -3x +4 . . . . . matches choice D

Answer:

the answer isto  get a brain idiot

Step-by-step explanation:

yyyh

Answer:

(x-6)(x-8)=0

Step-by-step explanation:

x^2-14x+48=0

Factorizing

x^2-8x-6x+48=0

(x^2-8x)+(-6x+48)=0

x(x-8)-6(x-8)=0

(x-6)(x-8)=0

Answer:

Matching the scenario with the correct type of problem:

a. one mean

b. one proportion

c. one proportion

d. one mean

Step-by-step explanation:

A one-proportion problem is tested using the one-sample proportion test.  This estimates the proportion of a population by comparing the proportion to a target or reference value.  On the other hand, a one-mean problem is tested using the one-sample t-test.  This tests whether a population mean is significantly different from some hypothesized value.

Answer:

18

Step-by-step explanation:

P = (3+6)*2 = 18

Answer:

12 days.

Step-by-step explanation:

The number of days of frog food the zookeeper has is A = 12 days

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of days of frog food the zookeeper has be A

Now , the value of A is

The number of cups of frog food she has = 3 cups

The number of cups of frog food she feed every day = ( 1/4 ) cups per day

Now , the equation is

A = number of cups of frog food she has / number of cups of frog food she feed every day

On simplifying the equation , we get

The number of days of frog food the zookeeper has A = 3 / ( 1/4 )

The number of days of frog food the zookeeper has A = 3 x 4

The number of days of frog food the zookeeper has A = 12 days

Hence , the number of days is 12 days

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Answer:

Step-by-step explanation:

22.2

Answer:

22.2

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Substituting x = 2 into y = 2x + 1,

y = 5

Substituting x = 2 into y = 4x - 3

y = 5

Answer:

7 = x^1/2.

Step-by-step explanation:

logx 7 = 1/2

Converting to exponential form ( the value of the log is the exponent and x is the base):

7 = x^1/2

Answer:

i think it would be 4x4=8+8=16

Answer:

about 8.3 miles an hour.

Step-by-step explanation:

34/4 is 8.5

90/11 is 8.2

average: 8.3

Answer:

Following are the solution to the given points:

Step-by-step explanation:

p= amount at any time

then [tex]\frac{dp}{dt}=0.07 p[/tex]

[tex]p=p_0 (1+e^{0.07 t) \\\\[/tex]

[tex]P_0=\ principle \ amount \\\\ interest \ =p-p_0=p_0e^{0.07t}\\\\ p=y\frac{dy}{dt}=0.07y_0[/tex]

at time [tex]= t\ years[/tex]

[tex]\frac{dp}{dt}\\\\c_0=\$ \ 20000\ year\\\\p \to p+dp\\\\ dp=0.07p+c_0[/tex]

y= amount at any times

[tex]\frac{dy}{dt}=0.07y+c_0\\\\dt= \frac{dy}{c_0+0.07y}[/tex]

For point a:

[tex]\frac{dy}{dt}=20000+0.07 y[/tex]

For point b:

[tex]\frac{dy}{20000+0.07 y}=dt\\\\\frac{1}{0.07}|n(\frac{0.07y+20000}{20000})=t\\\\\frac{0.07y}{20000}+1=e^{0.07t}\\\\y=7.1428\times 10^4[e^{0.07t} -1]\\\\y=\frac{20000}{0.07}[e^{0.07t}-1]\\\\[/tex]

For point c:

[tex]y(30)=827391.75[/tex]

according to goo.gle:

Answer:

bueh

Step-by-step explanation:

Answer:

C. 65/100 = x/90

Step-by-step explanation:

65% of 100 is 65/100 as 65% of 90 is x/90.

You can find the correct answer by cross multiplying to see if the part / whole = percent / 100.

Answer:

0.018

Step-by-step explanation:

basta yan ang sagot

Answer: 0.018

Step-by-step explanation: insta: camryn_boeling

Answer:

  12% or c

Step-by-step explanation:

590/670 = 88.059 rounded to 88

100 - 88 = 12

Answer: c

Step-by-step explanation: 80/670 = ____/100 then cross multiply

Answer:

10%

Step-by-step explanation:

0.08×anumber=40,then 0.02x=?

x=40/0.08=500

0.02×500=10

Use the two endpoints to find the slope:

(0,2) and ( 5,5.5)

Slope = change in y over change in x:

Slope = (5.5-2)/(5-0) = 3.5/5 = 0.7

The y intercept is the y value when x is 0, which is 2

Equation: c = 0.7x + 2

Answer:

The numbers are:

Step-by-step explanation:

Let the first number = n

As one number is 5 more than another. So,

The another number = n + 5

Given that the difference between their squares is 75, so

n² - (n + 5)² = 75

n² - (n² + 10n + 25) = 75

n² - n² - 10n - 25 = 75

0 - 10n = 75 + 25

-10n = 100

divide boths sides by -10

-10n/-10 = 100/-10

n = -10

Thus,

The first number = n = -10

The other numebr = n + 5 = -10 + 5 = -5

Therefore, the numbers are:

Answer:

3/6       4/8

Step-by-step explanation:

The set of complex numbers are x= +5/3i and x= -5/3i.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given expression is 9x²+25

9x²=-25

x²=-25/9

x=√(-25/9)

x=±5/3i

x= +5/3i or -5/3i

Therefore, the set of complex numbers are x= +5/3i and x= -5/3i.

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Answer:

m(slope)=2

b(y-intercept)=5

Step-by-step explanation:

Answer:

2x represents the slope and 5 represents the y intercept.

Answer:

Option C) Infinitely many solutions is correct option.

Step-by-step explanation:

We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x

The equation can be solved using DMAS rule.

Solving:

[tex]5x - 7x + 6 = -2(x - 3)[/tex]

Multiply -2 with terms inside the bracket

[tex]5x - 7x + 6 = -2x +6[/tex]

Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.

[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]

Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.

So, Option C) Infinitely many solutions is correct option.