Four less than the quotient of a number 2 and 5.

Answer:

350 miles per week

Step-by-step explanation:

That'd be 70 miles each day for 5 days, or 350 miles per week.

Answer:

I think B

Step-by-step explanation:

If volleyball team purchased 15 jackets, 12 pairs of sweatpants for $348 and basketball team purchases 8 jackets , 8 pairs of sweatpants for $200, the the system of equations that represent the situation is (b)  \(15x+12y = 348\) and \(8x+8y = 200\) .

let the number of jackets purchased be = x ;

let the number of pairs of sweatshirts purchased be = y ;

the volley ball team purchased 15 jackets and 12 pairs of sweatpants for $348 ,

that means the equation that represents the situation is :

\(15x+12y = 348\) .

Also given that , the basketball team purchased 8 jackets and 8 pairs of sweatpants for $200 ,

that means the equation that represents the situation is :

\(8x+8y = 200\) .

Therefore , the system of equations are \(15x+12y = 348\) and \(8x+8y = 200\) .

The given question is incomplete , the complete question is

A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item ?

(a) 8x + 8y = 200  ;  12x + 15y = 348   ;

(b) 8x + 8y = 200  ; 15x + 12y = 348 ;  

(c) 8x + 8y = 348  ;  12x + 15y = 200 ;  

(d) 8x + 8y = 348 ;  15x + 12y = 200 .

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Answer:

3. 62

5.  640

Step-by-step explanation:

3. 6×(3)^2+8

   6×9+8

   54+8

   62

5. 320÷((2)^3/2)×8

    320÷(8/2)×8

    320÷4×8

     80×8

    640

Answer:

3,-2,-7,-12,-17,-22

when going up add, when going down subtract.

Example: -2+5=3

-17-5=-22

Answer:

x= 0 has one solution

Step-by-step explanation:

Here, we want to get the number of solution

Looking at the relation, we can see that what we have is a linear relation

mathematically, a linear relation has a single solution

Thus, x = 0 has one solution

The triangle congruence postulate or theorem that proves congruence is stated below :

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol.

A triangle is a closed polygon with three line segments that intersect at each of its three angles.

When the sides and angles of two triangles match, the triangles are said to be congruent. Thus, two triangles can be placed side by side and angle by angle on top of one another.

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Answer:

y = x/2 -3

Step-by-step explanation:

x - 2y = 6

Slope intercept form is y = mx+b  where m is the slope and b is the y intercept

We need to solve for y

Subtract x from each side

x-2y-x = -x+6

-2y = -x+6

Divide each side by -2

-2y/-2 = -x/-2 +6/-2

y = x/2 -3

The slope intercept form is

y = x/2 -3

Answer: slope intercept form is

y = x/2 -3

Step-by-step explanation:

hope this helps ; )

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

1. Alternate exterior angles

2. Vertical angles

3. Alternate interior angles

Hope that helped :)

The conditional probabilities are as follows: P(B | C) = 0.295, P(C | B) = 0.371, P(A | B) = 0.371, P(B | A) = 0.333, P(A | C) = 0.273, and P(C | A) = 0.308. These probabilities represent the likelihood of one event occurring given that another event has already occurred.

To determine the conditional probabilities, we can use the formula:

P(X|Y) = P(X ∩ Y) / P(Y)

where X and Y are events.

1. P(B | C):

P(B | C) = P(B ∩ C) / P(C)

P(B ∩ C) = P(B n C) = 0.13

P(C) = 0.44

P(B | C) = 0.13 / 0.44 = 0.295

2. P(C | B):

P(C | B) = P(C ∩ B) / P(B)

P(C ∩ B) = P(B n C) = 0.13

P(B) = 0.35

P(C | B) = 0.13 / 0.35 = 0.371

3. P(A | B):

P(A | B) = P(A ∩ B) / P(B)

P(A ∩ B) = P(A n B) = 0.13

P(B) = 0.35

P(A | B) = 0.13 / 0.35 = 0.371

4. P(B | A):

P(B | A) = P(B ∩ A) / P(A)

P(B ∩ A) = P(A n B) = 0.13

P(A) = 0.39

P(B | A) = 0.13 / 0.39 = 0.333

5. P(A | C):

P(A | C) = P(A ∩ C) / P(C)

P(A ∩ C) = P(A n C) = 0.12

P(C) = 0.44

P(A | C) = 0.12 / 0.44 = 0.273

6. P(C | A):

P(C | A) = P(C ∩ A) / P(A)

P(C ∩ A) = P(A n C) = 0.12

P(A) = 0.39

P(C | A) = 0.12 / 0.39 = 0.308

Therefore, the conditional probabilities are:

P(B | C) = 0.295

P(C | B) = 0.371

P(A | B) = 0.371

P(B | A) = 0.333

P(A | C) = 0.273

P(C | A) = 0.308

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The product of vectors a and b is approximately 5.292.

To find the product of two vectors a and b, we need to use the dot product formula which is a · b = |a| |b| cosθ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
In this case, we are given that |a| = 2 and |b| = 7, and the angle between a and b is 2/3. We can use this information to find cosθ as follows:
cosθ = cos(2/3) ≈ 0.378
Now, we can substitute the values into the formula:
a · b = |a| |b| cosθ
a · b = 2 * 7 * 0.378
a · b ≈ 5.292
Therefore, the product of vectors a and b is approximately 5.292.

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Answer:

It depends on what the equation equals

Step-by-step explanation:

2x=1 x=.5 or 1/2

2x=2 x=1

2x=14 x=7

2x=102 x=51

plz put value from 1 and try other number also

Answer:

14n-3

Step-by-step explanation:

The answer of this question can be given by using congruence
Answer is 20°

What is an example of congruence?

Congruent relates to anything that is "exactly equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.

Given That:

∡DBC = 20°

DC = AD

DB is common on both triangle

As we have hypotenuse common in both triangle and 1 side equal then we can sa it is a congruent triangle by RHS

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Answer:

b

Step-by-step explanation:

i did the test and I got the answer right here after being corrected so yah.

Answer:

All real numbers

Step-by-step explanation:

Step-by-step explanation:

\(\pink{\large{\underline{\underline{\sf Given:-}}}}\)

\(\pink{\large{\underline{\underline{\sf To \: find:-}}}}\)

\(\pink{\large{\underline{\underline{\sf Solution:-}}}}\)

We know that,

\(\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}\)

\( \sf (Radius)^2 = (16)^2-(12)^2\)

\( \sf (Radius)^2 = 256-144=112\)

\( \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm\)

Answer:

30

Step-by-step explanation:

If you divide a negative with a negative, you get a positive.

Answer:

30

Step-by-step explanation:

-11.25 ÷ -0.375

negative divide negative equals positive

(-) ÷ (-) = (+)

evaluate

11,25 ÷ 0,375

= 30

To calculate the percent of variance that age at first birth shares with highest grade completed, we can use the coefficient of determination (R-squared). R-squared measures the proportion of the total variance in one variable that can be explained by another variable.

First, we need to perform a regression analysis to obtain the R-squared value. This can be done using statistical software or tools like Excel or SPSS.

Once you have the R-squared value, you can interpret it as the percentage of variance that age at first birth shares with highest grade completed. For example, if the R-squared value is 0.5, it means that 50% of the variance in age at first birth can be explained by the highest grade completed.

In conclusion, the R-squared value obtained from the regression analysis will provide the percentage of variance that age at first birth shares with highest grade completed. The higher the R-squared value, the stronger the relationship between the two variables.

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QS is the diameter of circle

A circle is a two-dimensional geometric shape consisting of all points in a plane that are a given distance from a fixed point called the center. It is a closed shape, meaning it has no beginning or end, and every point on its perimeter is equidistant from the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle through the center is called the diameter

In the given circle QS bisects perpendicularly the chord PR in two equal part. so, it must pass through center of circle.

QS is passing through center.

The chord passing through center is called as diameter of circle.

Hence, QS is the diameter of circle.

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Answer:

5/8 > 4/12

Step-by-step explanation:

We can check this by making their denominators the same.

First find the lowest common multiple of 8 and 12 which is 24.

5x3=15 and 4x2=12

8x3=24 and 12x2=24

--

5/8 = 15/24 meanwhile 4/12 = 12/24

15/24 > 12/24

Answer:

Since they're both equated to y...

7x² + 6x – 13 = 3x – 3

Bringing all the left

7x² + 3x – 10 = 0

Solving for x

you have

x = 1 or x = –10/3

Now substitute to get y

y = 0 or –13

Answer:

The answer should be. -1.25

The expression is simplified to give 2(9x + 2√3x - 5)

First, we need to know that surds are mathematical forms that can no longer be simplified to smaller forms

From the information given, we have that;

(2√3x - 2)(3√3x + 5)

expand the bracket, we get;

6√9x² + 5(2√3x) - 6√3x - 10

Find the square root factor

6(3x)  + 10√3x - 6√3x - 10

collect the like terms, we have;

18x + 4√3x - 10

Factorize the expression, we have;

2(9x + 2√3x - 5)

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Rounding it to the nearest power of 10 we can write it as: 10^11

To round 98,247,836,218 to the nearest power of 10, we can use the following steps:

1. Identify the digit in the billions place (the digit to the left of the comma). In this case, it is 9.

2. Determine if the digit in the billions place is greater than or equal to 5. Since 9 is greater than 5, we will round up.

3. Replace all the digits after the billions place with zeros. The result is 100,000,000,000.

So, when rounded to the nearest power of 10,  98,247,836,218 can be written as the product of a single digit (1) and the power of 10 (10^11).

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Answer:

\( \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}\)

Step-by-step explanation:

we would like to solve the following equation for x:

\( \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} \)

to do so isolate \(\frac{1}{x}\) to right hand side and change its sign which yields:

\( \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} \)

simplify Substraction:

\( \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} \)

get rid of only x:

\( \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} \)

simplify addition of the left hand side:

\( \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} \)

divide both sides by q+p Which yields:

\( \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} \)

cross multiplication:

\( \displaystyle x(p + q + x) = - pq\)

distribute:

\( \displaystyle xp + xq + {x}^{2} = - pq\)

isolate -pq to the left hand side and change its sign:

\( \displaystyle xp + xq + {x}^{2} + pq = 0\)

rearrange it to standard form:

\( \displaystyle {x}^{2} + xp + xq + pq = 0\)

now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so

factor out x:

\( \displaystyle x( {x}^{} + p ) + xq + pq = 0\)

factor out q:

\( \displaystyle x( {x}^{} + p ) +q (x + p)= 0\)

group:

\( \displaystyle ( {x}^{} + p ) (x + q)= 0\)

by Zero product property we obtain:

\( \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}\)

cancel out p from the first equation and q from the second equation which yields:

\( \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}\)

and we are done!

This question is solved using rounding and proportion concepts.

A drinking glass holds 0.3 litres correct to the nearest 0.1 litres

This means that, with 2 decimal places, the drinking glass holds between 0.25 litres and 0.34 litres.

-------------------------------------

Calculate the lower bound for the number of glasses of water which can be filled from the bottle

For the lower bound, we consider that 1 glass holds 0.25 litres, and want to find how many glasses are needed for 25 litres. So

1 glass - 0.25 litres

x glasses  - 25 litres

Applying cross multiplication:

\(0.25x = 25\)

\(x = \frac{25}{0.25} = 100\)

Thus, the lower bound for the number of glasses of water which can be filled from the bottle is 100.

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Answer: y = 1/2x - 9

Step-by-step explanation:

Slope formula is y = mx + b

Substitute

y = 1/2x - 9

Answer:

y = 1/2x - 9

Step-by-step explanation:

Substitute for y=mx+b