4/7 is multiplied by a fraction less than one. Complete the explanation to show how the product compares to the factors.

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Answer: Approximately 20 miles per gallon

Step-by-step explanation:

The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.

Answer:

$6.96

Step-by-step explanation:

5.25% of 5.79

5.79 × 5.25/100 = $0.303975 or $0.30

15% of 5.79

5.79 × 15/100 = $0.8685 or $0.87

total

$5.79 + $0.30 + $0.87 = $6.96

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

Answer:

The slope of the line is 1

Step-by-step explanation:

Question:

In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?

___________________________________________________

Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48

Answer:

High top pairs- 45

Low top pairs- 15

Step-by-step explanation:

Answer:

82.8 for the strawberries

2.49 for the bannanna

44.8 for the grapes

35.76 for the oranges

The total is 165.85

Step-by-step explanation:

The cost of fruits for fruit salad is $200.59.

Given that, fruits for fruit salad and their costs are listed below.

Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.

Total cost of blueberries

= 14 × 2.48 = $34.72

Total cost of strawberries

= 23 × 3.60 = $82.8

Total cost of bananas

= 1 × 2.49 = $2.49

Total cost of grapes

= 14 × 3.20 = $44.8

Total cost of oranges

= 12 × 2.98 = $35.78

So, total cost of fruits for fruit salad

= 34.72+82.8+2.49+44.8+35.78 = 200.59

Therefore, the cost of fruits for fruit salad is $200.59.

To learn more about the addition of decimals visit:

https://brainly.com/question/17612968.

#SPJ2

Answer:

a ≤ 27

Step-by-step explanation:

Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]

Using the general formula we have that:

[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]

then:

[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.

Answer:

Step-by-step explanation:

x=3

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

Answer: True.

If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

Answer:

its a acute 120 degree angle

Answer:

X = 78, Z = 29, and Y = 102

Step-by-step explanation:

X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.

Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.

Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.

Hope that helps!

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

Answer:

[tex]2a^{2} +4ab+2b^2[/tex]

Step-by-step explanation:

(a + b)(2a + 2b)

2a^(2) + 2ab + 2ab +2b^2

[tex]2a^{2} +4ab+2b^2[/tex]

Answer:

$26.94

.................

Answer:

A

Step-by-step explanation:

The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

Equivalent expressions are expressions that have equal values, when compared

The expression is given as:

[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]

Take LCM

[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]

Express the quotient as products

[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]

Evaluate the product

[tex]\frac {2y - 4x}{5x + 3y}[/tex]

Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

So the length will be the same as the length of the torso

Answer:

y=15

Step-by-step explanation:

Answer:

y=15

Step-by-step explanation:

To find y:

8y=120 –––Divide both sides by 8 so you can get y alone

y=15

Answer:

40 degrees

Step-by-step explanation:

x=7 so 4x+12 would be (4×7) + 12)

28+12= 40

Answer:

The smallest number of kilometers that each must have ran is 6 km

Step-by-step explanation:

The distance Jasper prefers to run at a time = 6 km

The distance Emma prefers to run at a time = 3 km

The distance ran by Jasper at month end = The distance ran by Emma at the end of the month

The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;

The multiples of 6 are;

6 × 1 = 6, 6 × 2 = 12...

The multiples of 2 are;

3 × 1 = 3, 3 × 2 = 6...

∴ The LCM of which = 6

Therefore, the smallest number of kilometers that each must have ran = 6 km