Gemma had $2,030 in her checking account. She wrote a check for $526 to pay the rent on her apartment. After the landlord cashed the check, how much money did Gemma have left in her checking account?

Answer:

\(y=-\frac{3}{2}\)

Step-by-step explanation:

\(\text{y = kx where k is a constant.}\)

\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)

If Suellen has been taking dance lessons for Y years, then Tara is taking dance lessons for Y+4 years.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, Suellen and Tara both take dance lessons. This Is Suellen’s first year, while this is Tara’s fifth year of dance lessons.

If Suellen has been taking dance lessons for Y years.

Then, the number of Tara taking lessons Y+4.

Therefore, Tara is taking lessons for Y+4 years.

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"Your question is incomplete, probably the complete question/missing part is:"

Suellen and Tara are in sixth grade, and both take dance lessons at Twinkle Toes Dance Studio. This Is Suellen’s first year, while this is Tara’s fifth year of dance lessons. Both girls plan to continue taking lessons throughout high school.

If Suellen has been taking dance lessons for Y years, how many years has Tara been taking lessons?

Answer:

hope you can understand

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

Answer:

Step-by-step explanation:

The system of equations with no solution is:

y + 3x = -7

4z - 2y = 10

The system of equations with exactly one solution is:

y = 6z+8

y = 6x-4

y = 3x + 2

2z-y = 5

y=-2z+8

The system of equations with infinitely many solutions is:

4z + y = 8

The gas mileage rate for each week of trip is, week 1 is 24.94 miles per gallon and in week 2 is 18 miles per gallon. The gas mileage rate for the entire trip is 21.59 miles per gallon.

To calculate the gas mileage rate, divide the number of miles driven by the number of gallons of fuel consumed.

Week 1:

Miles traveled: 2,120 miles

Gasoline used: 85 gallons

The gas mileage rate for Week 1: 2,120 miles / 85 gallons = 24.94 miles per gallon

Week 2:

Miles traveled: 1,422 miles

Gasoline used: 79 gallons

The gas mileage rate for Week 2: 1,422 miles / 79 gallons = 18.00 miles per gallon

Entire Trip:

Total miles traveled: 2,120 miles + 1,422 miles = 3,542 miles

Total gasoline used: 85 gallons + 79 gallons = 164 gallons

The gas mileage rate for the entire trip: 3,542 miles / 164 gallons = 21.59 miles per gallon.

Therefore, the gas mileage rate for each week of trip is, week 1 is 24.94 miles per gallon and in week 2 is 18 miles per gallon. The gas mileage rate for the entire trip is 21.59 miles per gallon.

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Answer:

Your answer is: k = 24

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

-7/8k = -21

Step 1: Multiply both sides by 8/(-7).

(8/-7) x -7/8k = -21 x (8/-7)

Answer= k = 24

Answer:

Theoretically I would call the cops, and then possibly animal control.

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

B

Step-by-step explanation:

Convert everything to inches first

The floor is 120 inches by 144 inches

The floor can be covered with (120/6) * (144/8) tiles

(120/6) * (144/8) = 20*18=360 tiles, hence b.

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Answer:

2n + 5 ≤ 7  The first choice

Step-by-step explanation:

2n + 5 ≤ 7  Subtract 5 from both sides.

2n + 5 - 5 ≤ 7 - 5

2n ≤ 2  Divide both sides by 2

\(\frac{2n}{2}\) ≤ \(\frac{2}{2}\)

n \(\leq\) 1

Answer:

2x +5 ≤ 7

I hope my answer helps you.

Answer:

65/100 that is the answer to this question

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:Corresponding parts:

Angles, sides, or vertices of two or more figures that are located in the same position when the figures are aligned.

The term corresponding means that the parts of two or more figures match when turning, flipping or sliding them. In Figure 1, If we turn the object in green  a certain angle, we will get to match both the sided and the angles of these two objects. Therefore, object in red and object in green are corresponding.

Step-by-step explanation:

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Hi there!

How are you?

Answer:

Right Triangle

Step-by-step explanation:

A triangle that contains angles of 35°, 90°, and 55° is a RIGHT triangle.

Since one of the angles is 90 degrees (right angle) and the other two angles are less than 90 degrees (acute angles) it is a right triangle because it cousins of right angle.

Have a good day/night!

Answer:

Right angled triangle

Step-by-step explanation:

The triangle is a right angled one because  it has a 90 degrees angle and a right angle is equal to 90 degrees. Thus it is a right angles triangle.

HOPE IT HELPED

The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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Answer:

To calculate the total amount made by the food stand last weekend, we need to find the product of the number of each item sold and its corresponding price, and then add those products together. Based on this, the expressions that represent how much the food stand made last weekend are:

1. Saturday's sales:

Revenue from hot dogs = 15h

Revenue from cheeseburgers = 18c

Total revenue on Saturday = 15h + 18c

2. Sunday's sales:

Revenue from hot dogs = 24h

Revenue from cheeseburgers = 30c

Total revenue on Sunday = 24h + 30c

3. Total sales for the weekend:

Total revenue on Saturday + Total revenue on Sunday

= (15h + 18c) + (24h + 30c)

= 39h + 48c

Therefore, the expressions that represent how much the food stand made last weekend are:

Answer:

is correct

x^3 -7x^2+2x +40

multiply the constants of the factors (each factor has opposite sign of the zero)

(x+2)(x-4)(x-5)   2(-4)(-5) = 40,  that eliminates all but c) and d)

(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5)   by using FOIL on the 1st two factors

then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)

-5 times -2x = 10x,  x times -8 = -8x.   10x-8x = 2x which c) has but d) doesn't.

Step-by-step explanation:

Answer:

The Answer is A. $107.25

Step-by-step explanation:

Answer:

Example: π (Pi) is a famous irrational number.

We cannot write down a simple fraction that equals Pi.

Step-by-step explanation: true

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Answer:

t = √ab²/fx

Step-by-step explanation:

fx= ab*2÷t*2, make t the subject of the formulae

​Given the function

fx = ab²/t²

We are to make t the subject of the formula

fxt² = ab²

t² = ab²/fx

Take the square root of both sides

√t² = √ab²/fx

t = √ab²/fx

Hence the required value of t is √ab²/fx

Answer:

The total length of the paths is approximately \(50\) meters.

Step-by-step explanation:

Step 1 of 3

The park is a quadrilateral with vertices J, K, L, & M, containing 4 entrances at the midpoint of each pair of vertices. (i.e. between J & K, K & L, L & M, M & J). So, you can start off this problem by finding the midpoint, or park entrance, coordinates for all four entrances.

Remember, the midpoint formula is as follows:      

(this results in the coordinate of the midpoint in the form x,y)

For example: The midpoint between vertices \(J(-3,1) \& K(1,3)\)can be found using the midpoint formula:

Step 2 of 3

The park entrances existing at the midpoint of the vertices, then, are as follows:

Entrance \(J-K : (-1,2)\)

Entrance \(K-L : (3,1)\)

Entrance \(L-M : (2,-1)\)

Entrance \(M-J : (-2,0)\)

Now, assuming you have this nicely graphed, it should be straightforward how to measure the distance of the paths connecting the entrances opposite one another. All you have to do now is use the distance formula to calculate how many units each opposite entrance is from one another.

Step 3 of 3

Distance Formula: \($\sqrt{\left(X_{2}-X_{1}\right)^{2}+\left(Y_{2}-Y_{1}\right)^{2}}$\)

Your answer will be the path length between Entrances at \((-1,2) \& (2,-1)\) as well as the path length between entrances at \((3,1) \& (-2,0).\) You will have two answers. Just remember whatever your answer comes out to, it is in graphical units (1 tick mark equals 1 unit), however, in this problem, one unit actually represents \(10\) meters. So, pretending you end up with \(5\) units as your answer, it will really equal \(50\) meters.

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Answer:

t⁴+5t³-3t²-2

Step-by-step explanation:

You can't subtract a variable with a different exponent:

Example:

CAN'T BE SUBTRACTED - 3x²-3x⁴

CAN BE SUBTRACTED - 4x²-2x²=2x²

\(\sf -t^{4}+5t^{3} +3t^{2} -16.\)

\(\sf (5t^{3} -9)-(t^{4}-3t^{2} +7 )\)

Beware of the terms of the right hand side parenthesis, as we'll have to change the symbol of all of them because of the minus (-) symbol infront of the parenthesis.

\(\sf 5t^{3} -9-t^{4}+3t^{2} -7\)

Like terms are terms that contain the same variables and can be added and subtracted simply. For example, 7x and 2x are like terms, because they are both expressed in terms of x. However, 7x and x² are not like terms, because one os expressed in terms of x and the ither in terms of x².

• Note: All natural numbers not being multiplied by any variables are like terms.

So now let's identify those like terms:

From this expression: \(\sf 5t^{3} -9-t^{4}+3t^{2} -7\)

Only -9 and -7 are like terms. And, since -9-7= -16, the resulting expression should be the following:

\(\sf 5t^{3} -t^{4}+3t^{2} -16\)

So even though the last expression is the answer to this problem, we can polish it a little bit by ordering the terms. In math and other exact sciences, terms are normally ordered alphabetically and from greatest to least of it's the same variable with different exponents. Therefore, the final answer is:

\(\sf -t^{4}+5t^{3} +3t^{2} -16.\)