Mrs.Balthazar’s car used 2.5 gallons of gasoline this week. She drove a total of 37.9 miles. If the car got the same gas mileage for the entire trip, how many miles did the car travel for each gallon of gasoline?

Answer:

1/3 probability

4 + 4 + 4 = 12

4/12 = 1/3

Step-by-step explanation:

Answer:

Answer

4)net income

Step-by-step explanation:

answer

Answer:

C. 3y/4x²

Step-by-step explanation:

12x/2y*3y²/24x³=12/2*3y/24x²

                           =6*y/8x²

                           =6y/8x²

                           =3y/4x²

Answer:

x= 14000/0.55

Step-by-step explanation:

X×(1-0.22-0.23)= 14000

X-0.22-0.23x= 14000

0.55=14000

X= 14000/0.55

sorry if it doesn't help and I'm not sure if it's right

Answer:

there is no answer without picture

Step-by-step explanation:

sorry cant answer

Answer:

The flagpole is  

4

meters tall.

Explanation:

The wire, the flagpole, and the ground make up the three sides of a triangle.

One angle of this triangle is given as  

45

o

.

The angle of the flagpole with the ground must be  

90

o

.

So the last angle must be  

45

o

.

Because of the right angle  

(

90

o

)

of the flagpole and the ground, this is a  

right triangle

. The wire forms the hypotenuse.

Because both of the other angles are the same (both are  

45

o

), this is an  

isosceles

right triangle (the legs are equal.)

This particular kind of right triangle is called a  

45

−

45

−

90

triangle, named for the degrees in its angles.

...

...

...

...

...

...

...

.

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

The measurements of these triangles are known by memorization:

The  

45

−

45

−

90

isosceles right triangle has these properties:

It forms half a square, cut in half along the diagonal, so it is a

right triangle

.

This diagonal line forms the  

hypotenuse

of the triangle.

The sides  

s

(the legs) are the same as each other, so

it is an  

isosceles right triangle.

The length of the hypotenuse is always  

s

√

2

Here is a diagram of the  

45

−

45

−

90

isosceles right triangle:

Step-by-step explanation:

We are given three vectors each one has its own coordinates. We need to be careful when we multiply two vectors.

For example, b × c = (b1,b2,b3)×(c1,c2,c3) = (b1c1,b2c2,b3c3)

Finally a×(b×c) = (a1b1c1,a2b2c2,a3b3c3)

Good Luck

The mystery divisor to the question based on the information given is 18.

Dividing the first dividend 4 by the unknown divisor x and getting the first number 2 in the quotient and when the quotient 2 is multiplied by the divisor gives 36, so definitely, 4 cannot be used

Using 40 as the dividend, 40 divided by the divisor x gives 2 as the first quotient. And the first quotient 2 multiplied by the divisor x gives 36.

And to interpret this, 2x=36

Dividing through by 2x=36

x = 36/2

x = 18

So, the divisor is 18

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Answer:

Yes Maggie has enough money to purchase the dress and hair accessory.

Step-by-step explanation:

Dress = $35.75

Hair accessory = $2.80

Total amount of money = $40

Does her have enough money?

Total Money in pocket - (Dress cost + hair accessory)

 $40.00 - ($35.75 + 2.80)

  $40.00 - ($36.00 + $3.00)     Round to the nearest dollar

  $40.00 - $39.00 = $1.00

Yes

Answer:

283

Step-by-step explanation:

Plug in 100 for t in the equation.

First multiply 3 by 100 to get 300.

Then do 300-17 to get 283

Answer:

The Answer is 283

Step-by-step explanation:

Substitute t for 100

100*3=300

300-17=283

final Answer: 283

Answer:420

Step-by-step explanation:

Brainlest if it correct

Answer:

0.5

Step-by-step explanation:

To find the slope, you just have to do (y-y₁) / (x-x₁) where x and y are from the same point and x₁ and y₁ are from the same point. So just substitute in the values to get (7 - 8) / (5 - 7) which is -1 / -2 which is 1/2 or 0.5.

Answer:

C. -8

Step-by-step explanation:

x≥-48/5; ⇔ x≥-8.8, then

the smallest integer is -8.

Answer:

13.5 miles

Step-by-step explanation:

For this problem you need to find 3/4 of 18. 18x3/4 = 54/4, or 13.5

The total number of miles Steve's family traveled is 24 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Steve's family traveled 3/4 the distance that Mike's family traveled.

Let the total number of miles Steve's family traveled be x.

Now, 3/4 ×x=18

3x=72

x=72/3

x=24 miles

Therefore, the total number of miles Steve's family traveled is 24 miles.

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Answer:

n = 26

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable  

n.

Answer:

x = -2,4

(disclaimer plugging in -2 will give an imaginary number)

Step-by-step explanation:

3[tex]\sqrt{x^2-7}[/tex]=3[tex]\sqrt{2x+1}[/tex]

Divide both sides by 3

[tex]\sqrt{x^2-7}[/tex]=[tex]\sqrt{2x+1}[/tex]

Square both sides to cancel square roots

[tex]x^2-7=2x+1[/tex]

Move all the terms to the left side

[tex]x^2-2x-8=0[/tex]

Use the quadratic formula

[tex]x=\frac{2 +/- \sqrt{(-2)^2-4(1)(-8)}}{2(1)}[/tex]

which gives x= -2,4

OR factor the quadratic

(x-4)(x+2)=0

x= -2,4

The solution of the equation 3 sqrt x^2-7= 3 sqrt 2x+1 is,  x = -2,4

(disclaimer plugging in -2 will give an imaginary number)

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

3√x²-7=3√2x+1

Divide both sides by 3

√x²-7=√2x+1

Square both sides to cancel square roots

x²-7=2x+1

Move all the terms to the left side

x^2-2x-8=0

Use the quadratic formula

x=2±√2-4(-8)/2

solving we get,

which gives x= -2,4

OR factor the quadratic

(x-4)(x+2)=0

x= -2,4

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Answer:

Substitution property of equality

Step-by-step explanation:

[tex]\\ \sf\longmapsto m<2+m<5=180[/tex]

[tex]\\ \sf\longmapsto m<2+90°=180°[/tex]

Answer:

Substitution property of equality

Step-by-step explanation:

9514 1404 393

Answer:

  P(E') = 12/13

Step-by-step explanation:

If E is the event "a 10 is drawn", then its probability is 4/52 = 1/13, because there are 4 cards in the deck that are 10s. The probability of E' is the complement of this:

  P(E') = 1 -P(E) = 1 -1/13

  P(E') = 12/13

[tex]\sf \Large \boxed{\displaystyle \sf \frac{12}{13} } \\\\\\ 10 \ of \ spades \ or\ 10 \ of \ clubs \ or\ 10 \ of \ diamonds \ or\ 10 \ of \ hearts \\\\4 \ cards \ from \ the \ 52 \ are \ tens\\\\48 \ are \ not \ tens\\\\\displaystyle \frac{48}{52} =\frac{12}{13}[/tex]

Answer:One side of a triangle is half the longest side. The third side is 13 feet less than the longest side. The perimeter is 62 feet.

Step-by-step explanation:

Step-by-step explanation:

l-longest

l + l/2 + l-10 =75

2l -10 + l/2 =75

2l + l/2 =75+10=85

(5/2)l =85

l=85×2/5 =34

first side=34ft

second side=l/2=34/2=17ft

third side = 34-10=24ft

if you need any more help

my whats app number

+2348134440903

Answer:

no

Step-by-step explanation:

As all angles are 60∘ each and given all sides are equal then it can be said as congruent.

Answer:

x = 23

Step-by-step explanation:

simplify both sides of the equation then isolate the variable.

Answer:

x = 23

Step-by-step explanation:

x/20 + 20 ( -2/5 )/20 = 3/4

combine fractions with common denominator

x - 8/20 = 3/4

Multiply all terms by the same value to eliminate fraction denominators

20 . x - 8/20 = 3/4 = 20. 3/4

Cancel multiplied terms that are in the denominator

x - 8 = 20 . 3/4

Multiply the numbers

x - 8 = 15

Add 8 to both sides of the equation

x - 8 + 8 = 15 + 8

simplify

add the numbers

x = 23

Answer:

☼︎Information Provided:

☼︎What we have to calculate :

☼︎Maturity value:-

[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]

[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]

☼︎In both the formulas,

☼︎Performing Calculations :

Finding out the interest by substituting the values in the given formula of calculating the interest~

☼︎Number of months :

☼︎We have :

☼︎Putting the values :

[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]

[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]

[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]

[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]

[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]

[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]

[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]

[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]

☼︎Now, putting the values in formula of M.V. :

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]

[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]

[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]

[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

Interest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is

[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]

Maturity Value (MV)

 Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by

[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

Answer

Answer:

x | y

0 | 3

1 | 6

2 | 9

Step-by-step explanation:

Answer: Harold drove 165.46 more miles in the first week, then he did in the second.

Step-by-step explanation:

This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.

You can look up how to do subtraction by hand online, but after calculating the equation:

[tex]578.25-412.79[/tex], we end up with 165.46.

According to the question

sinA =  

         Method : 1( By Theorem )

sinA =  

Let,

     Height from angle A = 3 x

     Hypotenuse of triangle = 5 x

        By Pythagoras Theorem

Hypotenuse^2 = height^2 + base^2

( 5 x )^2 = ( 3 x )^2 + ( base )^2

25x^2 - 3x^2 = ( base )^2

16x^2 = base^2

( 4x )^2 = ( base )^2

4x = base

Therefore, cosA =  

                          =

                          =  

And, tanA =  

                =  

                =  

               Method : 2 ( Identities )

We know, sin^2 A + cos^2 A = 1

          Substituting value,

( 3 / 5 )^2 + cos^2 A = 1

cos^2 A = 1 - 9 / 25

cos^2 A = ( 25 - 9 ) / 25

cos^2 A = 16 / 25

cos^2 A = ( 4 / 5 )^2

cos A = 4 / 5

tanA = sinA / cosA

       = ( 3 / 5 ) / (  4 / 5 )

       =3/4

Answer:

i dont know

Step-by-step explanation:

'D'

本题已由中国数学会官方解答（现有会员：3人）  

D.

[tex]16 - (6.25 + 2 \times 2.25)[/tex]

If Ally is given three different sums of the same sequence to calculate, and she completes the three problems in order C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multiplied so they will increase.

The sums will not decrease in value because there is no subtraction.  They will not increase in value because of multiplication or addition.  The sums will not decrease in value because of the subtraction of 7 from each answer.

Thus, the sums will increase in value because of the increasing positive number that is being multiplied.

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