A one-cup serving of orange juice Contains 4 mg less than four times the amount of vitamin C as a one cup serving of pineapple juice. Servings of two juices contain a total of 121 mg of vitamin C. How many milligrams of vitamin C are in a serving of each type of juice?

Answer:

65°

Step-by-step explanation:

recall that for a triangle, the exterior angle (130 deg in this case) is equal to the sum of its remote interior angles (also see attached)

this means that

130° = y° + y°

or

2y° = 130°

y = 130/2 = 65°

The solution to the given expression is log (9) + log (4).

The logarithm function is defined as the inverse of exponential function. If b = e^(a) then a is defined as a = log(b).

The logarithm of the product of two numbers is equal to the sum of their individual logarithms. The logarithmic properties can be written as log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b) and log(aⁿ) = nlog(a).

The given expression is log(9 × 4).

It can be rewritten as,

log(9 × 4)

Use the property of the logarithm log(ab) = log(a) + log(b) to obtain,

log(9 × 4) = log(9) + log(4)

Hence, the given logarithmic expression can be solved as log (9) + log (4).

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Answer:

D. 91 in.^2

Step-by-step explanation:

We have two shapes, a square and a triangle.

Area of a square = lw

Area of a triangle = (lw)1/2

Starting off with the square...

A = lw

A = 7 x 7

A = 49

Next with the triangle...

A = (lw)1/2

A = (12 x 7)1/2

A = (84)1/2

A = 42

Add together the areas...

42 + 49

91 in^2

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Step-by-step explanation:

Let,

Cost of one tulip = x

Cost of one rose = y

According to given statement;

7x+9y=25.90       Eqn 1

4x+8y=19.80       Eqn 2

Multiplying Eqn 1 by 4

[tex]4(7x+9y=25.90)\\28x+36y=103.60\ \ \ Eqn\ 3[/tex]

Multiplying Eqn 2 by 7

[tex]7(4x+8y=19.80)\\28x+56y=138.60\ \ \ Eqn\ 4\\[/tex]

Subtracting Eqn 3 from Eqn 4

[tex](28x+56y)-(28x+36y)=138.60-103.60\\28x+56y-28x-36y=35\\20y=35[/tex]

Dividing both sides by 20

[tex]\frac{20y}{20}=\frac{35}{20}\\y=1.75[/tex]

Putting y=1.75 in Eqn 1

[tex]7x+9(1.75)=25.90\\7x+15.75=25.90\\7x=25.90-15.75\\7x=10.15[/tex]

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{10.15}{7}\\x=1.45[/tex]

Cost of 5 tulips and 6 roses = 5x+6y = 5(1.45)+6(1.75) = 7.25+10.50 = $17.75

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Keywords: linear equation, elimination method

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You can use system of linear equations to find the solution.

The  cost to customer to buy 5 tulips and 6 roses will be $17.75

Cost of buying 5 tulips and 6 roses.

By given data, we have:

7 tulip + 9 roses costs $25.90

or

[tex]7x + 9y = 25.9[/tex]

And

4 tulips + 8 roses costs $19.8

or

[tex]4x + 8y = 19.8[/tex]

Thus, we have two equations.

From equation first, we have:

[tex]7x + 9y = 25.9\\\\ x = \dfrac{25.9-9y}{7} [/tex]

Substituting this value in second equation, we get:

[tex]4(\dfrac{25.9 - 9y}{7}) + 8y = 19.8\\\\ 103.6 - 36y + 56y = 138.6\\ 20y = 138.6 - 103.6\\\\ y = \dfrac{35}{20} = 1.75\\ [/tex]

Thus, we have:

[tex]x = \dfrac{25.9-9y}{7} \\ \\ x = \dfrac{25.9 - 15.75}{7} = 1.45[/tex]

Thus, the price of a tulip = x = $1.45

and the price of a rose = y = $1.75

Now, calculating price of 5 tulips and 6 roses:

[tex]\: \rm Total \: Cost = 5x + 6y = 5 \times 1.45 + 6 \times 1.75 = \$17.75[/tex]

Thus, the cost to a customer who buys 5 tulips and 6 roses would be $17.75

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When reflecting over y = -x

The x and y values change places and the signs change.

(-2,5) becomes (-5,2)

Answer:

(-5,2)

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

I need pic

The equivalent expression is y = [tex]e^{x log 7}[/tex].

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]7^x[/tex]

Let y = [tex]7^x[/tex]

Now,

Taking logs on both sides.

log y = log [tex]7^x[/tex]

log y = x log 7

Taking exponent on both sides.

[tex]e^{logy}[/tex] = [tex]e^{x log 7}[/tex]

y = [tex]e^{x log 7}[/tex]

Thus,

The equivalent expression is y = [tex]e^{x log 7}[/tex].

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The complete question is given below:

Answer:

t>-4

I’m not sure if this is right

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Correct statement and question:

Charles rode his bike 19 miles each week while training. Here is his record of the number of miles he rode Monday 2.2 miles Tuesday? Wednesday 3.8 miles Thursday ? Friday 5.4 miles Charles rode 1.6 miles more on Thursday than Tuesday . Find the number of miles he rode on Tuesday and Thursday

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Miles per week Charles rode his bike = 19

Miles every Monday Charles bikes = 2.2

Miles every Tuesday Charles bikes = ?

Miles every Wednesday Charles bikes = 3.8

Miles every Thursday Charles bikes = ?

Miles every Friday Charles bikes = 5.4

Charles rode 1.6 miles more on Thursday than Tuesday

2. Find the number of miles he rode on Tuesday and Thursday.

x = Miles Charles rides every Tuesday

1.6 + x = Miles Charles rides every Thursday

Now, we can write our equation to solve for x, this way:

2.2 + x + 3.8 + x + 1.6 + 5.4 = 19

2x + 13 = 19

2x = 19 - 13

2x = 6

x = 3 ⇒ x + 1.6 = 4.6

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training

Answer:

Charles rode his bike 3 miles every Tuesday and 4.6 miles every Thursday while training.

Step-by-step explanation:

It's right I checked.

Krystal is correct

We have the following equation:

[tex]y-11=52[/tex]

In order to solve this, we need to follow this step:

Step 1. Add 11 to both sides:

[tex]y-11=52 \\ \\ y-11+11=52+11 \\ \\ y=63[/tex]

So, Krystal is correct

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Answer:

A. 3.14

C. 2.33333

D. Square root of 144

Step-by-step explanation:

A. 3.14 true

B. Square root of 50  false because 50 is not a perfect square

C. 2.33333 true

D. Square root of 144  true because √144 = 12

Answer:

Step-by-step explanation:

40:20

It’s simple division

Hope I helped

Answer:

x = 1/5

Step-by-step explanation:

To solve, simplify the equation, then isolate "x". Start with the distributive property, where you multiply the number outside the brackets with each number inside the bracket. Isolate "x" by bringing all the other numbers to the right side on the equal sign. When moving a number, do its reverse operation to the whole equation.

-5(x-3) = 14           Distribute. Multiply -5 by "x", subtract -5 times 3.

(-5)x - (-5)3 = 14           Multiply -5 and 3

(-5)x - (-15) = 14           Two negatives make a positive

(-5)x + 15 = 14           Remove brackets around -5

-5x + 15 = 14           Start isolating

-5x + 15 - 15 = 14  - 15          Subtract 15 from both sides

-5x = -1          Left side: 15 cancelled out.  Right side: 14-15 = -1

-5x/-5 = -1/-5          Divide both sides by -5.

x = 1/5         Solved for "x"

Check your answer by substituting "x" with the answer you found:

-5(x - 3) = 14  

-5(([tex]\frac{1}{5}[/tex]) - 3) = 14          Change "x" to 1/5.

-5(([tex]\frac{1}{5}[/tex]) - [tex](\frac{5}{5})(\frac{3}{1})[/tex]) = 14           Make 5 the common denominator

-5([tex]\frac{1}{5}[/tex] - [tex]\frac{15}{5}[/tex]) = 14          Multiply the fractions across

-5([tex]\frac{1-15}{5}[/tex]) = 14        Combined the fractions on top of the same denominator

-5([tex]-\frac{14}{5}[/tex]) = 14          Simplify numerator

[tex]\frac{-5*-14}{5}[/tex] = 14          Multiply by combining into the numerator

[tex]\frac{70}{5}[/tex] = 14          Divide the top by the bottom of the fraction

14 = 14             Same answer on both sides

LS = RS          Left side equals right side

Therefore the answer is correct.

Answer:

38 to 40.

Step-by-step explanation:

If you round 9.65 to 10, and do the math it would be:

2 x 10 = 20

20 x 2 = 40

1.29 % is converted to decimal as 0.0129

Solution:

"Percent" means "per 100" or "over 100"

To convert 1.29% to a decimal rewrite 1.29 percent in terms of per 100 or over 100

Given percentage is 1.29 %

1.29 % = 1.29 over 100

[tex]1.29 \% = \frac{1.29}{100}[/tex]

1.29 over 100 is the same as 1.29 divided by 100

Completing the division we get:

[tex]1.29 \% = \frac{1.29}{100} = 0.0129[/tex]

Thus the given 1.29 % is converted to decimal as 0.0129

Answer:

Cd=4cm

Step-by-step explanation:

Properties. convex. In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.     And Try TutorMe IS THE BEST WEBSIT AND PLZ MAKE ME THE Brainliest

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

Answer:

Step-by-step explanation:

The answer is 24 x 3 or 3 x 24. It says that he ran 3 times and it took 24 minutes. 3 x 24 is 72

hope this helps

Answer and explanation :

Hannah said that [tex]\frac{1}{8}[/tex] is not on the number line but she is wrong because [tex]\frac{1}{8}[/tex] can be represented on the number line

When we convert the fraction [tex]\frac{1}{8}[/tex] into decimal then it is equal to 0.125

And 0.125 lies between 0 and 1

If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2

And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line

Answer:

This number line represents all number. Although 1

8

is not labeled, it still exists on the number line and can be plotted. 1

8

is located halfway between 0 and 1

4

Step-by-step explanation:

Answer:

The right answer is A. 37

Step-by-step explanation:

Let's find the value of:

21 + 4(3² - 5)

21 + 4 * (9 - 5)

21 + 4 * (4)

21 + 16 = 37

The right answer is A. 37

Answer:

(1,0)

Step-by-step explanation:

The point that f(x) = log₂x and g(x) = log₁₀x have in common is where both graph intersect.

Recall that the logarithm of 1 is 0.

This implies that, when we plug in x=1 into both function we get 0.

g(1) = log₁₀1=0

f(1) = log₂1=0

This means the two graphs intersect at (1,0)

Therefore the graphs of f and g have (1,0) in common

Multiply the amount raised by 280%

Rewrite 280% as a decimal by moving the decimal point 2 places to the left

280%. = 2.80

400 x 2.80 = $1120.00

Answers are:

The answer will be greater than $400 because 280 is greater than 100.

(100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday.

The carnival raised $1,120 on Friday.

Answer:

B,C,F

Step-by-step explanation:

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Answer:

B) x =2 y = 1

Step-by-step explanation:

X=20

Step-by-step explanation:

39.90-50= 10.1

10.1÷0.05=202

X=202 texts

Check work 0.05×202=10.1 + 39.90=50

Answer:

10 feet

Step-by-step explanation:

Given:

Volume of cube = 1000 cubic feet.

Question asked:

Length of an edge of the cube = ?

Solution:

Volume of cube = [tex]side^{3}[/tex]

[tex]1000=side^{3}[/tex]

By taking cube root both side

[tex]\sqrt[3]{1000} = side\\\sqrt[3]{10\times10\times10} = side[/tex]

[tex]10 = side[/tex]  (took common)

Therefore, length of an edge of the cube is 10 feet.

The correct answer is option C as the shown triangle is obtuse.

Based on the image, the triangle has the following angles:

Step 1: Sum of angles in a triangle

The sum of the angles in any triangle is always 180 degrees.

Therefore:

[tex]132^0 + 36^0 + 12^0 = 180^0[/tex]

Step 2: Analyze angle measures

Looking at the triangle, the following are the angle measures:

One angle [tex](132^0)[/tex] is greater than [tex]90^0[/tex].

There are no angles exactly equal to [tex]90^0[/tex].

All other angles [tex](36^0,12^0)[/tex] are less than [tex]90^0[/tex].

Step 3: Triangle classification

Based on the angle measures, the following is evident.

The triangle has one angle greater than [tex]90^0[/tex], so it cannot be acute (where all angles should be less than [tex]90^0[/tex]).

The triangle does not have any angles equal to [tex]90^0[/tex], so it is not right.

Since it has one angle greater than [tex]90^0[/tex], the triangle is classified as obtuse.

Thus the triangle is obtuse and it corresponds to option C.

Answer:

I know only number a

Step-by-step explanation:

For number a

x+2=3

Answer:

B. A and C

Step-by-step explanation:

1:3, 1.5:4.5, 2:6, 2.5:7.5, 3:9, 3.5:10.5, 4:12, 4.5:13.5, 5:15, 5.5:16.5, 6:18, 6.5:19.5, 7:21

+.5:+1.5

Answer:

the correct answer is B