In the Student Shoppe, Jackie spent $1 less than twice what Gail spent. If together they spent $11, find the amount of money Gail spent.

Answers

Answer 1

Answer:

Gail spent $4 and Jackie spent $7

Step-by-step explanation:

Let j = Jackie

Let g - Gail

j = 2g -1                  j + g = 11

substitute 2g - 1 for j in the second equation

j + g = 11

2g - 1 +g =11  Combine the g's

3g -1 = 11   Add 1 to both sides of the equation

3g = 12  Divide both sides by 3

g = 4

Plug 4 in for g to find j

j = 2g -1

j = 2(4) -1

j = 8 -1

j = 7


Related Questions

Ten times the sum of a number and nine is 290. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.

Answers

Step-by-step explanation:

10+290=x is the answer

x=290-10

x=280#

Is it possible to calculate the square root of a negative number?

Answers

Answer: It is impossible to find the square root of negative one, or the square root of any negative number because no number times itself can equal a negative number.

Step-by-step explanation:

Answer:

It is impossible to find the square root of negative one, or the square root of any negative number, because no number times itself can equal a negative number.

Step-by-step explanation:

The square root of a negative number does not exist among the set of Real Numbers.

When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. They saw equations such as x2 + 1 = 0, and wondered what the solution n3 really meant.

after seven years , an intitial investment of $600 earned $84 find the interest rate

Answers

The interest rate 2% per year

How to calculate the interest rate ?

The time period is 7 years

The initial investment is $600

The current investment is $84

The interest rate can be calculated as follows

84/600 × 7

= 84/4200

= 0.02

The interest rate is

= 0.02 × 100

= 2%

Hence the interest rate is 2%

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Find x and y, i only need the answer so no need to show work

Answers

x=48 and y=104 should be correct.

Step-by-step explanation:

X=48 becase 42+90=132

180-132= 48

Building A is 251 meters taller than building B. If the height of building A is subtracted from twice the height of building B, the result is 223 meters. How tall is each skyscraper?

Answers

Answer:

Step-by-step explanation:

Is this true
4. When you subtract two numbers, if you reduce the first number in the subtraction by one, the result is one less. For example, 12 – 4 is 8 and 11 – 4 is 7

Answers

When you subtract two numbers, if you reduce the first number in the subtraction by one, the result is one less. This is true.

How to calculate the value?

It should be noted that in subtraction when you reduce the first number, you will get a value that's lesser by 1.

In this case, if we have 20 - 5 = 15, then 19 - 5 = 14. We can see that 14 and 15 is a difference of 1.

Therefore, when you subtract two numbers, if you reduce the first number in the subtraction by one, the result is one less. This is true.

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Write a slope-intercept equation for a line passing through the point (4,7) that is parallel to y=x+1. Then write a
second equation for a line passing through the given point that is perpendicular to the given line.

Answers

Answer:

y = x + 3

y = -x + 11

Step-by-step explanation:

When the slopes are parallel they are the same.  When slopes are negative, the slope is the negative reciprocal.

Parallel:  The slope is 1.  This is the coefficient of the x in the equation given.  If you do not see a number before the x like in  y = x + 1, then number is 1.

Use this form:

y =mx + b  Us the slope of 1 to put in for m.  Use 4 for x and  7 for y

7 =(1)4 + b  Solve for b.

7 = 4 + b  Subtract 4 from both sides.

3 = b

The equation for the parallel line is

y = x + 3.

Perpendicular:

y = mx + b This time the slope is -1 Still use 4 for x and 7 for y

7 = (-1)4 + b

7 =-4 + b add 4 to both sides

11 = b

The equation would be y = -x + 11

Can someone please help me I will mark u brilliant I need the points for Q R and S

Answers

Answers are based on a 1/5 dilation

Q’ = (2,0)
R’ = (2,3)
S’ = (0,-2)

Your pre image to image points are

Q = (10,0) ➡️ (2,0)

R = (10, 15)➡️ (2,3)

S = (0, -10)➡️ (0, -2)

Multiply each point by 1/5 dilation to get your new image points

left parenthesis 3 plus 4 right parenthesis plus 5 equals 3 plus left parenthesis 4 plus 5 right parenthesis is an example of the ______________property.

1. inverse
2. associative property
3. identity property
4. commutative property

Answers

Answer:

2 associate property

Step-by-step explanation:

(3 + 4) + 5 3 + (4 + 5)  On the left side, the 4 is "associating" with the 3", but on the left side the 4 is "associating;" with the 5.

the table shows the estimated sales for two different prices of bags of chips. Calculate the profit per bag for the bags sold at 3$ each

Answers

The profit per bag for the bags sold at 3$ each is $1.5 per bag.

How to calculate the profit?

The total cost will be:

= $300000 + (1 × $600000)

= $900,000

The revenue will be:

= $3 × 600000

= $1,800,000

Therefore, the profit per bag will be:

= ($1800000 - $900000) / 600000

= $900000/600000

= $1.5

The profit is $1.5.

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20 cm

13 cm
7 cm what is the area of the shape?

Answers

Answer:

270cm2

Step-by-step explanation:

you have to split the figure into 2.

the triangle above is = 1/2 x20cmx13cm=130cm2

the rectangle is = 20cmx7cm=140cm2

total area=140cm2+130cm2

               =270cm2

Round 3.691 to the nearest hundredth

Answers

Answer: 3.69

Step-by-step explanation:

Answer:

3.69

Step-by-step explanation:

If the last digit in the fractional part of 3.691 is less than 5, then simply remove the last the digit of the fractional part.

Cameron said that the y-intercept of a quadratic function always tells the maximum value of that function.
Explain Cameron's error.

Answers

The y-intercept is where the graph crosses the y-axis and is not necessarily where the maximum is. For instance, consider the graph of [tex]y=x^2 +2x+4[/tex].

Answer the question.
The distance from the Earth to the Sun is about 1.5 x 108 km, while the distance from the Earth to the
moon is about 3.8 x 105 km. If a scale model of the solar system is constructed so that the distance
from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the moon?
Select one:
O a. 39, 474 m
O b.
39.5 m
O c. 6.36 m
O d. 0.25 m

Answers

The distance from the Earth to the moon, in the scale model, is d. 0.25 m

As per the known fact, ratio of measurement in real is equal to the ratio of measurement on scale. Further, ratio will be calculated in this case as -

Distance from Earth to Sun in real : Distance from Earth to Moon in real = Distance from Earth to Sun on scale : Distance from Earth to Moon on scale

Keep the values in mentioned relation to find the distance from Earth to Moon.

1.5×10⁸:3.8×10⁵ = 100:distance from Earth to Moon on scale

Distance from Earth to Moon on scale = 100×3.8×10⁵/1.5×10⁸

Distance from Earth to Moon on scale = 0.25 m

Therefore, the correct option for distance is d. 0.25 m.

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the cost of 1 dorzen of pencils is rs 80 find the cost of 18 pencil​

Answers

Answer:

soln

given,

1dozen=rs 80

therefore,cost of 18 dozen pencils =80 × 18

=1440 Rs

on average max makes 45 out of 60 shots with the basketball, write an equation to represent the average number of shots made out of x attempts

Answers

Answer:

See below

Step-by-step explanation:

Avg shots made =  (45/60) x   = (3/4 ) x = .75 x

Kim went to the store and bought three shirts.
She spent $26.30. One shirt cost $8.72, and
another cost $10.79. How much did the third shirt
cost?

Answers

Answer:

$6.79

Step-by-step explanation:

You add the cost of the first two then subtract that by the total she spent to get the answer

$10.79 + $8.72 = $19.51

$26.30 - $19.51 = $6.79

write 25x + 2 as a verbal expression​

Answers

The required verbal form of the expression is two more than 25 times of a number.

Given that,
An expression is given we have to determine the verbal expression of the given algebraic expression.


What is an algebraic expression?

The algebraic expression consists of constant and variable. eg x, y, z etc.

Here,m
Given expression = 25x + 2
Where x is any variable number 25 times and further added 2.
So.
The verbal expression can be given as
two more than 25 times of a number.

Thus, the required verbal form of the expression is two more than 25 times of a number.

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If tan a = x + 1 and tan ß = x - 1, then verify that: 2cot(a - B) = x²​

Answers

[tex]

\cot(a-b)=\frac{\frac{1}{(x+1)(x-1)}+1}{\frac{1}{x-1}+\frac{1}{x+1}} \\ \\ =\frac{1-1+x^2}{2} \\ \\ =\frac{x^2}{2} \\ \\ \therefore 2\cot(A-B)=x^2[/tex]

Answer:

See below for proof.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5 cm}\underline{Trigonometric Identities}\\\\$\cot \theta=\dfrac{1}{\tan \theta}$\\\\$\tan (A \pm B)=\dfrac{\tan A \pm \tan B}{1 \mp \tan A \tan B}$\\\end{minipage}}[/tex]

[tex]\begin{aligned}\implies 2\cot (\alpha - \beta) & =\dfrac{2}{\tan (\alpha - \beta)}\\\\ & =\dfrac{2}{\dfrac{ \tan \alpha - \tan \beta}{1+\tan \alpha \tan \beta}}\\\\ & =\dfrac{2(1+\tan \alpha \tan \beta)}{ \tan \alpha - \tan \beta}\\\\ & =\dfrac{2(1+(x+1)(x-1))}{ (x+1) - (x-1)}\\\\& = \dfrac{2(1+(x^2-x+x-1))}{x+1-x+1}\\\\& = \dfrac{2(1+(x^2-1))}{2}\\\\& = \dfrac{2x^2}{2}\\\\& = x^2\end{aligned}[/tex]

Hence verifying that 2cot(α - β) = x².

You're to prepare 850 mL of D8W form D10W and sterile water for injection. How many milliliters of D10W will you need?

Answers

The volume of D10W solution required to be diluted to make 850 mL of D8W solution is 680 mL.

How can the dilution contents be calculated?

The dilution formula can be presented as follows;

[tex]C_1 \cdot V_1 = C_2 \cdot V_2[/tex]

Where;

[tex]C_1 = Initial \: concentration = D10W [/tex]

[tex]V_1 = Initial \: volume [/tex]

[tex]C_2 = Final \: concentration = D8W[/tex]

[tex]V_2= Final \: volume = 850 \: mL [/tex]

Which gives;

[tex]V_1 = C_2 \cdot V_2/C_1[/tex]

V1 = 8×850/10 = 680

The volume of D10W needed is 680 mL

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Solve first principle of y=X^3

Answers

Answer:

3x^2

Step-by-step explanation:

Explained in image.

A​ patient's order is 70 milligrams of a drug. Available in stock is 80 milligrams in 1 milliliter of liquid. How many milliliters should be​ administered?

Answers

The required milliliters should be​ administered is 0.875 milliliter .

What is Volume?

Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units or by various imperial units. The definition of length is interrelated with volume.

Given:

A​ patient's order is 70 milligrams of a drug.

Available in stock is 80 milligrams in 1 milliliter of liquid.

According to given question we have

80 milligrams = 1 milliliter

70  milligrams =1*70/80 milliliter

70  milligrams = 0.875 milliliter

Therefore, the required milliliters should be​ administered is 0.875 milliliter .

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Explain how you would estimate the value of 57−−√ by determining the two consecutive whole numbers that it lies between. Write the two numbers and explain the process you used to select them.

Answers

The two consecutive whole numbers that it lies between are 28 and 29.

What are the consecutive numbers?

The consecutive numbers are those number which follow each other continuously in the order from smallest to largest numbers.

Let the two consecutive numbers be x and x + 1

x + x + 1 = 57

Combine like terms;

2x + 1 = 57

Now Subtract 1 from both sides;

2x = 57- 1

2x = 56

Divide both sides by 2

x = 56/2

x = 28

Thus, x + 1 = 28 + 1 = 29

The two consecutive whole numbers that it lies between are 28 and 29.

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Is (1, 10) a solution to the inequality y ≤ 4x + 1?


Answers

Answer:

(1,10) is not a solution to the inequality.

Step-by-step explanation:

First, you want to insert the values of x and y in the inequality.

So, [tex]10\leq 4(1) +1[/tex]

[tex]10\leq 5[/tex]

That inequality is not true, so we know that (1,10) is not a valid solution.

All students in the 6th grade either purchased their
lunch or brought their lunch from home on Monday.
• 24% of the students purchased their lunch.
• 190 students brought their lunch from home.
How many students are in the 6th grade?


i need a really detailed answer

Answers

The number of students in the 9th grade is 250.

How to calculate the value?

Based on the information, the percentage of those who brought their good from home will be:

= 100 - 24%

= 76%

Therefore, 76% of x = 190

0.76x = 190

x = 190/0.76

x = 250

Therefore, the number of students in the 9th grade is 250.

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Solve for x.
5(2+1)<5x+3

Answers

This is the answer hope this is what you were looking for

Angle Relationship
Find mLTSU if SU bisects LTSV,
mLTSU = 4y + 11, and m∠USV = 6y + 5.

Answers

< TSU = 4y + 11 = 23 degrees

What does angle relationship mean?

We talk of angle relationships because we are comparing position, measurement, and congruence between two or more angles. For example, when two lines or line segments intersect, they form two pairs of vertical angles

we have to find m < TSU if SU bisects < TSV, m < TSU = 4y + 11, m < USV = 6y + 5

SU bisects < TSV

=>    < TSU = < USV

4y + 11 = 6y + 5

-2y = -6

y = 3

< TSU = 4y + 11 = 23 degrees   ( put the value of y=3)

∠USV = 6y + 5 = 23 degrees      ( put the value of y=3)

Hence ,< TSU = 4y + 11 = 23 degrees

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Find each of the following by first summing all the negative and positive numbers separately
and then combining the final positive and negative. Show your work.
(a) -8+-9+7+4
(b)-18+6+-22+28
(c) 24+19+-6+10+-12
(d) -18+32+14+21+-50

Answers

Applying addition of integers, the final results of the expressions are given as follows:

a) -6.

b) -6.

c) 35.

d) -1.

How do we add two integers?

To add two integers, we have to keep in mind their signals, if they are the same or different, as follows:

If they have the same signal, we keep the signal and add the numbers.If they have the different signal, we take the signal of the largest absolute number(largest number without the signal), then subtract the amounts.

Hence, for item a, we have that:

-8 - 9 = -17.7 + 4 = 11.-17 + 11 = -6.

For item b, the solution is found as follows:

-18 - 22 = -40.6 + 28 = 34.34 - 40 = -6.

For item c, the solution is found as follows:

-6 - 12 = -18.24 + 19 + 10 = 53.53 - 18 = 35.

For item d, the solution is found as follows:

-18 - 50 = -68.32 + 14 + 21 = 67.67 - 68 = -1.

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Put these winning lottery numbers in the correct order.
Select the boxes and type in the correct answers.
lowest

48
5
23
11
9
20

Answers

Answer from lowest to highest: 5, 9, 11, 20, 23, 48
5, 9, 11, 20, 23, 48

Select the correct answer.
Why is the responsibility for maintaining roads and streets given to municipal governments?
O A.
The federal government would not have time to get to all the roads.
O B.
The local government has better knowledge about the needs in its area.
O C. The state government does not want to pay maintenance crews.
O D.
The county government does not have the power to pave roads.
Hurryyyyyyyy pls

Answers

Answer:

OA

Step-by-step explanation:

the federal government only manages the things about the country , that's why there are different types of government becuz each one of them has responsibilities

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