What is the value of x?<br> Enter your answer in the box.<br><br> x = _______

A carrot has

4vir4ik [10]

Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

D- The amount of sugar in two servings of carrots is 30 grams.

<u><em>Verify each statement</em></u>

A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 5 servings of banana there are 5(15)=75 grams of sugar

therefore

50 g < 75 g

B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

3:1

therefore

An equal number of servings, the bananas will have three times as much sugar

C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

so

$50+10\neq 150$

D- <u>The amount of sugar in two servings of carrots is 30 grams</u>

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

$10\neq 30$

3 0

3 years ago

Part A Assume the ball passes through the points ( 3 , 8 ) , ( 5 , 20 3 ) , and ( 6 , 5 ) . Use this data to set up a system of

Zepler [3.9K]

The three system of equations are 9a + 3b + c = 8, 75a + 15b + 3c = 20, and 36a + 6b + c = 5.

<h3>What is a solution to a system of equations? (SOLUTION GRAPHICALLY)</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and like all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none).

The general equation of parabola is given as,

y = ax² + bx + c

The first point is (3,8), therefore, we can write,

8 = a(3)² + b(3) + c

9a + 3b + c = 8

The second point is (5, 20/3), therefore, we can write,

20/3 = a(5)² + b(5) + c

75a + 15b + 3c = 20

The third point is (6, 5), therefore, we can write,

5 = a(6)² + b(6) + c

36a + 6b + c = 5

Hence, the three system of equations are 9a + 3b + c = 8, 75a + 15b + 3c = 20, and 36a + 6b + c = 5.

Learn more about System of equations:

brainly.com/question/26254258

#SPJ1

6 0

2 years ago

14. The figure shows a slice of an apple pie in the shape of a sector of a circle with centre O and radius 8cm. A cut is made al

Strike441 [17]

Step-by-step explanation:

(i) Using the law of cosines, we can find that

$cos(O) = \frac{8^{2}+8^{2} - 7^{2}}{8*8*2}$ ≈ 0.62, so O ≈ 0.9

(ii) Since the whole pie has 2π radians (or 360 degrees), we can divide 0.9 by 2π to get around 6.9 slices from the pie

(iii) The area of the shaded segment can be found by finding sector OAB and subtracting triangle OAB from that. Sector OAB can be found by finding the area of the pie (π*8², since 8 is the radius) and dividing that by 6.9, so we get 64π/6.9 ≈ 29. Then, the area of the triangle is √p(p-a)(p-b)(p-c), with p being the perimeter and a, b, and c being the sides. Plugging 7, 8, and 8 in, we get 25.1781 as our area, so the difference is around 3.8

4 0

2 years ago

Corresponding angles lie on the same side of a transversal?

Sonbull [250]

The statement is true

5 0

3 years ago

A triangle has side lengths of (5n+3p)(5n+3p) centimeters, (9n+8q)(9n+8q) centimeters, and (6q+9p)(6q+9p) centimeters. Which exp

tatuchka [14]

The expression that represents the perimeter of the given triangle in centimeters is; 14n + 10p + 14q

<h3>What is the perimeter of the triangle?</h3>

We are given the side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.

Read more about Triangle Perimeter at; brainly.com/question/24382052

4 0

2 years ago

What is the value of x? Enter your answer in the box. x = ________