3.
How many solutions would this system of equations have?
y = 2x + 1
y =2(x+3)
a) One
b) No solutions
c) Two solution
d) Infinitely Many solutions.
Answer:
b) No solutions
Step-by-step explanation:
y=2x+1
y= 2(x+3)
Substitute the y in y=2x+1 with 2(x+3)
2(x+3)=2x+1
Then distribute the 2.
2x+6=2x+1
Subtract 2x from both sides to isolate the variable.
6=1
this statement is false, meaning the system of equations has no solutions.
Patrick paid $12 for
25 pounds of candy.
How much did each
pound of candy cost?
Answer:
48 cents each pound
Step-by-step explanation:
Divide $12 by 25 pounds.
12÷25=0.48
hi i have dis questioonnnnn plz help ;-;
Answer:
Step-by-step explanation:
10+W=25
Answer:
The First Part would be B and for the W= would be 15 since
25 = 10 + 15, it would also be B because of the order of the numbers.
You could also rewrite it as 10 + 15 = 25.
Step-by-step explanation:
A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?
Answer:
its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120
On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.
a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.
b. In what months and years do the accounts have approximately the same amount, and what are the amounts?
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
Write the equation of the line fully simplified slope-intercept form.
Answer:
y= -1/3x-7
Step-by-step explanation:
At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?
Answer:
55 adult tickets were sold on Friday.
Step-by-step explanation:
A linear system will be used to model the system.
Let c be the number of child tickets and a be the number of adult tickets
Then according to given statements
[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]
From equation 1
[tex]a = 133-c[/tex]
Putting this in equation 2
[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]
Putting c = 78 in equation 1
[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]
Hence,
55 adult tickets were sold on Friday.
What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.
Answer:
The unknown value is being subtracted from 226 is 160
Step-by-step explanation:
Long division setup showing an incomplete calculation
16 is in the divisor 3426 is in the dividend 2 hundreds and 1 tens is written in the quotient 3200 is subtracted from 3426 to give 226 An unknown value represented by a box is being subtracted from 226so,
The dividend = 3426
The divisor = 16
2 hundreds means 200 and 1 tens means 10
∵ The quotient = 200 + 10 + x
∵ Dividend = divisor × quotient
∴ (16 × 200) + (16 × 10) + (16 × x) +remainder = 3426
∵ 16 × 200 = 3200
Subtract 3200 from the dividend
∴ 3426 - 3200 = 226
∵ 16 × 10 = 160
∴ 226- 160 = 66
⇒160is the unknown value
∵ 16 × x = 16x
∵ 66 - 16x = 0
∴ 66 = 16x
- Divide both sides by 16
∴ x = 4 and remainder = 2
∴ 3426 ÷ 16 = 200 + 10 + 4
∴ 3426 ÷ 16 = 214
∴ From the steps above the missing number subtracted from
226 is 160
The unknown value is being subtracted from 226 is 160
question in pic. please help!
Answer: 1, 3, and 4 can form triangles. The rest can not.
Step-by-step explanation:
on triangles 1, 3, and 4, the 2 smaller sides added together are greater than the longer side.
Solve each equation:
5x=1
Answer:
5x=1
Step-by-step explanation:
51
8b + 5 + 4 = -23
Need ASAP
Answer: b= -4
Step-by-step explanation:
A recipe for Potato Soup is listed below:
3 1/2 cups of peeled and diced potatoes
1/3 cup finely chopped onion
3 1/4 cup water
2 cups of milk
1/2 teaspoon salt
5 tablespoons of butter
1/3 cup diced celery
3/4 cup of diced ham
2 tablespoons of chicken bouillon granules
1 tablespoon ground black pepper
5 tablespoons of all purpose flour.
You accidently use 5 cups of potatoes. Approximately how many cups of water will you need for 5 cups of potatoes?
HELP PLS
What is the domain of the function y= Vx+6 -7?
x²-7
X-6
x26
x7
The domain of the function is [ - 6 , ∞ ]
What is range & domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
A radical function is the one provided.
It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.
As a result, either the radicand of the provided function must be larger than or equal to zero, or:
Thus we can write it as
x + 6 ≥ 0
subtract 6 from both LHS and RHS
x + 6 - 6 ≥ 0 - 6
x ≥ - 6
Therefore the domain of the function is [ - 6 , ∞ ]
To know more about domain and function you may visit the link which is mentioned below:
brainly.com/question/13113489
#SPJ7
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by
Answer:
[tex]2.75,\ 0.1x[/tex]
[tex]2.75[/tex]
Step-by-step explanation:
In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].
If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].
In 1980, zero years have passed so, [tex]x=0[/tex]
Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]
y=2x+10 in standard form
Answer:
2x-y=-10
Step-by-step explanation:
I'm assuming by standard form you mean
Ax+By=C
Ax⇒2x
By⇒-y
C=-10
2x-y=-10
Find the slope with the given coordinates (9,-4) (-2,3)
Answer:
the slope is-7/11
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=3-(-4)/(-2)-9
m=7/-11
m=-7/11
Divide £42 in the ratio 1:5
Answer:
This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.
Step-by-step explanation:
d = c × b a ,
d = 3 × 8 4 = 6
If we divide £42 in the ratio of 1:5 so it comes 7 and 35.
Given that,
The number is £42.The given ratio is 1:5.We need to divide the above number in the given ratio.Based on the above information, the calculation is as follows:
[tex]= 42 \times 1 \div (1 + 5)[/tex]
= 7
And
[tex]= 42 \times 5 \div (1 + 5)[/tex]
= 35
Therefore we can conclude that If we divide £42 in the ratio of 1:5 so it comes 7 and 35.
Learn more: brainly.com/question/13549064
Which are the solutions of x2 = -5x + 8?
Answer:
x=
2
−5−
57
=−6.275
x=
2
−5+
57
=1.275
Step-by-step explanation:
-6x + 5xy - 9y - 3x + 7 =....need help again!!sorry
Answer:
=5xy−9x−9y+7
Step-by-step explanation:
Let's simplify step-by-step.
−6x+5xy−9y−3x+7
=−6x+5xy+−9y+−3x+7
Combine Like Terms:
=−6x+5xy+−9y+−3x+7
=(5xy)+(−6x+−3x)+(−9y)+(7)
=5xy+−9x+−9y+7
Answer:
=5xy−9x−9y+7
Helpp pls I tired to solve it out but I can’t get it
If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
Answer:
5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5
Answer:
5 gallons.
Step-by-step explanation:
two gallons=$5.40
? gallons=$13.50
you cross multiply
2 × $13.50÷$5.40
27÷5.40=5 gallons
Write the following number in standard form: 3.471 x 10 to the power of negative 3
Answer:
=-3471 is the answer this may help you.
Step-by-step explanation:
=3.471×10^-3
=3.471×-1000
=-3471
Cam bought the items listed on the sign. If he was charged $42.25 for which item was he charged twice?
Answer: For which item was he charged twice? 42.25 – 29.50 = 12.75, so he was charged twice for the hat.
It may be incorrect! This is in my math book and it was this answer. Please forgive me if it’s incorrect!
PLS
SOLVE !!!!
I WILL MARK THE BRAINLIEST
Answer:
A is two; B is nine; C is one
Good Luck!
a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.
b) if C is 1, then in the ones place, B+A must = 11
c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2
Which expression is equivalent to 735 ÷ 100?
7.35 ÷ 1000
735 x 0.01
735 x 0.001
73.5 ÷ 100
Answer:
735x0.01
Step-by-step explanation:
There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.
Answer: 15
Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20
Answer:
there are 15
men in the dance recital
Step-by-step explanation:
What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1 Over StartRoot 3 EndRoot EndFraction
Answer:
[tex]\sqrt3[/tex]
Step-by-step explanation:
To find:
The value of [tex]tan60^\circ[/tex] = ?
Solution:
Kindly consider the equilateral [tex]\triangle ABC[/tex] as attached in the answer area.
Let the side of triangle = [tex]a[/tex] units
Let us draw the perpendicular from vertex A to side BC.
It will divide the side BC in two equal parts.
i.e. BD = DC = [tex]\frac{a}{2}[/tex]
Using Pythagorean Theorem in [tex]\triangle ABD[/tex]:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]
Side AD = [tex]\frac{\sqrt3}{2}a[/tex]
Using Trigonometric ratio:
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tanB = \dfrac{AD}{BD}[/tex]
Putting the values of AD and BD:
[tex]tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}[/tex]
1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.
Answer:
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Step-by-step explanation:
Area of a trapezium:
[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]
This formula is valid if b1 and b2 are parallel and h is perpendicular to both.
Since the trapezium given in the problem satisfies those conditions, we use the formula with:
b1=15 cm
b2=7 cm
h=6.8 cm
[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]
[tex]A=74.8\ cm^2[/tex]
The area of the trapezium is [tex]74.8\ cm^2[/tex]
The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.
Answer:
pre image point A (8,0)
Step-by-step explanation:
I guess thats the answer
A = (x, y)
After a translation right 2 units and down 1 unit is the point B (10, -1)
A = (x + 2, y - 1)
B = (10, -1)
A = B
x + 2, y - 1 = 10, -1
x, y = 10 - 2, -1 + 1
x, y = 8, 0
(x, y) = (8, 0)
The coordinates of pre-image point A is (8, 0)
Helps me solve this problem please
Answer:
0
Step-by-step explanation:
Since it is a flat, horizontal line, it has a slope of 0.
If the line was straight up and down, it would be undefined.