Fill in the blanks to express the quantities given in ratio language. Ratios must be expressed in simplest form. Deondra 36 Bo 42 Myesha 30. For every___miles Bo drove, Myesha drove___miles.

Answer:

45

Step-by-step explanation:

These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below

1/time took for both = 1/time took for Kevin + 1/time took for Eric

1/30 = 1/90+1/x    ==> calling time took for Kevin x

solving the above 1/x = 1/30-1/90

1/x=2/90

x=45

Given that Kevin takes 1.5 hours to mow the lawn alone and together

with Eric it takes 30 minutes The time it takes Eric alone is 45 minutes.

The time it takes Kevin to mow the lawn, K = 1.5 hours

The time it takes Kevin and Eric to mow the lawn, B = 30 minutes = 0.5 hours

Required:

The time it takes Eric to mow the lawn alone.

Solution:

Let K represent the time it takes Kevin to mow the lawn alone and let E

represent the time it takes Eric to mow the lawn alone, we have;

[tex]\mathbf{\dfrac{1}{K} + \dfrac{1}{E} }= \dfrac{1}{T}[/tex]

Which gives;

[tex]\dfrac{1}{1.5} + \dfrac{1}{E} = \dfrac{1}{0.5}[/tex]

Which gives;

[tex]\dfrac{1}{E} = \dfrac{1}{0.5} - \dfrac{1}{1.5} =\dfrac{4}{3}[/tex]

Therefore;

[tex]E = \dfrac{1}{\dfrac{4}{3} } = \dfrac{3}{4} = \mathbf{ 0.75}[/tex]

The time it takes Eric to mow the lawn alone, E = 0.75 hours

0.75 hours = 0.75 × 60 minutes = 45 minutes

The time it takes Eric to mow the lawn alone, E = 45 minutes

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Answer:

the answer is B.12

Step-by-step explanation:

i took the test.

Answer:

[tex]-8x^{10}[/tex]

Step-by-step explanation:

[tex](2x^2)^3(-x^4)[/tex]

Apply the rule [tex](-a)=-(a)[/tex]:

[tex]\implies -(2x^2)^3(x^4)[/tex]

Apply the exponent rule [tex](a \cdot b)^c=a^cb^c[/tex] :

[tex]\implies-(2^3\cdot x^{2 \times 3})x^4[/tex]

[tex]\implies -8 \cdot x^6 \cdot x^4[/tex]

Apply exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies -8x^{6+4}[/tex]

[tex]\implies -8x^{10}[/tex]

Answer:

Square both sides.

When you do this the square root sign will be eliminated and u will be able to solve. So it will become just x2 + x - 2 and the left hand side you will need to do foil method and use distributive law

Answer:

b = 100°

c = 30°

Step-by-step explanation:

b = 100° bc the two angles are supplementary, that is, together they form a straight angle and add up to 180°.

c = 30°

because a + b + c = 180. There's 180° in a triangle.

Answer:

1/8

Step-by-step explanation:

doing math to get the right answer your welcome

Answer:

Step-by-step explanation:

Answer:

2/3*3/3

Step-by-step explanation:

I mean its just doing 2/3 * 1 which i mean, 3/3 is still a fraction so i did it (TBH cant think of anything else

Answer: 2/3 x 1 = 2/3

technically everything 1 one will equal itself hope it helps.

Answer/Step-by-step explanation:

1099 x 3/7 = 471

471

Answer: The other person is right

Answer:

8:36A.M

Step-by-step explanation:

AM is morning and 24 minutes before 9 is 3:36

Step-by-step explanation:

taking the rule of angles which state that angles on a straight line add up to 180°

then we take the solution adding the expression then equate to 180°

;5x+4+x-2+3x+7=180

like terms together

5x+x+3x+4+-2+7=180

=9x+9=180

9x=180-9

9x=171

getting the value of x we divide by nine both sides

x=171/9

x=19°

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

The equation for slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this case, x would represent, [tex]y_2[/tex]. Therefore...

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\1=\frac{x-(-8)}{5-(-2)}\\1=\frac{x+8}{5+2}\\1=\frac{x+8}{7}\\\\Multiply\ 7\ to\ both\ sides\\\\7=x+8\\\\\ Subtract\ 8\ from\ both\ sides\\\\x=-1[/tex]

Answer:

Step-by-step explanation:

1. 27.7n + 5.5 = 144.25

2. 27.7n = 138.75

3. n = 138.75/27.7

4. n = about 5.00903 or 2775/554

Answer: 35 apples are ripe and rest i.e 21 apples are not.

Step-by-step explanation:

5/8 of 56 apples are ripe i.e 35 apples are ripe and the rest 56-35 apples are not.

Mark me brainliest.

35 are ripe and 23 are not

5/8= x/56

5 x 56 = 280

280 / 8 = 35

56 - 35 = 23

Answer:

im pretty sure its 30

Step-by-step explanation:

Area of the circle is the area covered by that circle. The area of the circle whose circumference is 7π m is 12.25π m².

The area of the circle is the area covered by that circle. It is given by the formula,

[tex]\text{Area of the circle}=\pi r^2[/tex]

where r is the radius of the circle.

As it is given that the circumference of a circle is 7π m. Therefore, the radius of the circle can be written as,

[tex]\text{Circumference of the circle} = 2\pi r[/tex]

[tex]7 \pi = 2 \pi r\\\\r = 3.5\rm\ m[/tex]

Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,

[tex]\text{Area of the circle}=\pi r^2[/tex]

                           [tex]= \pi \times (3.5)^2\\\\= 12.25\pi\rm \ m[/tex]

Hence, the area of the circle whose circumference is 7π m is 12.25π m².

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A. associative

associative property which describes the numbers in a multiplication expression can be regrouped using parentheses.

for example: 2x² + 5x + 3 ↔ ( x + 1 ) ( 2x + 3 )

Answer:

$950

Step-by-step explanation:

Take the original amount and subtract the 5% from the total then you have your new total.

Answer:

$2,786.83

Step-by-step explanation:

[tex]p {e}^{.09 \times 11} = 7500[/tex]

[tex]p = \frac{7500}{ {e}^{.09 \times 11} } [/tex]

[tex]p = 2786.83[/tex]

Answer:

1. Obtuse angle

2. 18.3kg

The total amount of interest will Ward save if he finances car the $20,000 for 3 years rather than 5 years is $1000.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Ward finances $20,000 to purchase a car. The rate of interest is 2.5% regardless of loan length. The interest amount of the car for three years is,

[tex]I_3=\dfrac{20000\times2.5\times3}{100}\\I_3=1500[/tex]

The interest amount of the car for five years is,

[tex]I_3=\dfrac{20000\times2.5\times5}{100}\\I_3=2500[/tex]

The amount of interest Ward save,

[tex]C=2500-1500\\C=1000[/tex]

Thus, the total amount of interest will Ward save if he finances car the $20,000 for 3 years rather than 5 years is $1000.

Learn more about the simple interest here;

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Answer:

30

Step-by-step explanation:

30 * 2 is 60

60 - 10 is 50

23° sería te sirve dime qué si ☜ (↼_↼)

Answer:

706.5

Step-by-step explanation:

Answer:

706.5

Step-by-step explanation:

Diameter = 30

30/2 = 15. 15 is the radius

To find area:

3.14 x 15 x 15 = 706.5

706.5 is the answer

Answer:

[tex]4x(x+4)[/tex]

Step-by-step explanation:

With the expression [tex]4x^{2} +16x[/tex], start by looking to see if you can take out any x-values. As you can see, both [tex]4x^{2}[/tex] and [tex]16x[/tex] have an x to the first power. You can factor that out, leaving you with the expression [tex]x(4x+16)[/tex]. Now you look for the largest numerical value that you can take out. Both 4 and 16 are divisible by 4, so you can factor out the number 4, leaving you with the expression [tex]4x(x+4)[/tex].

Answer:

4x(x + 4)

Step-by-step explanation:

Answer:

No, it doesn't

Step-by-step explanation:

2+5=7

The two smaller lengths of a triangle cannot be equal to or less than the third side.

Answer:

what picture ?