The amount spent on brother is $16, on sister is $26 and that on wife is $58.
According to the question,
We have the following information:
Mark is buying Christmas presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his wife. And Mark
has $100 to spend.
Let's take the amount spent on sister to $s.
Amount spent on brother = $(s-10)
Amount spent on wife = $(6+2s)
So, we have the following expression:
s+s-10+6+2s = 100
4s-4 = 100
4s = 104
s = 104/4
s = $26
Amount spent on brother = 26-10 = 16
Amount spent on wife = 6+2*26
Amount spent on wife = 6+52
Amount spent on wife = $58
Hence, the amount spent on brother is $16, on sister is $26 and that on wife is $58.
To know more about amount spent here
https://brainly.com/question/2193735
#SPJ1
equation represents the distancetraveled against the wind?ProblemAt full speed, Hal travels 600 miles in 2 hourswith the wind. The same distance againstthe wind takes 3 hours.What's the maximum speed of Hal's airplanein still air? What's the speed of the wind?Click on the correct answer.3(x - y) = 6003(x + y) = 600x-speed of the airplane in still airy speed of the wind2(x - y) = 6002(x + y) = 60080888Ma
Take into account:
x = speed of the airplane
y = speed of the air
consider that the product in between time and speed is equal to the distance traveled in the time.
Then, if the airplane took 3 hours complete 600 miles, agaist the wind, you have that the distance traveled by the airplane is 3x without wind. The speed of the wind decelerates the airplane. The "distance traveled by the wind is 3y"
Then, when you subtract the previous terms you obtain:
3x - 3y = 600 factorize 3 left side
3(x - y) = 600
Which of the following square roots is a rational number
First, we need to define rational numbers
Rational numbers are numbers that can be express as a quotient or fraction
From the question given, The square root of 16 is 4, this can be express as 4/1
Hence, it is a rational number
Therefore the correct option is A
In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia. If Amelia scores 5 points, how many points did Bryce score?
Bryce made the basket equals 18 points.Amelia received a point total of 10 points.The point Jordan scored was 6 points.
How to find Bryce points ?
In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.
Amelia score the point :
2*5=10
Amelia received a point total of 10 points.
Jorden score the point :
10-4 =6 points
The point Jordan scored was 6 points.
Bryce score the points
3*6 = 18 points
Where
Bryce made the basket equals 18 points.
so,Bryce made the basket equals 18 points.Amelia received a point total of 10 points.The point Jordan scored was 6 points.
To learn more about count point problems refer to:
https://brainly.com/question/6361504
#SPJ1
Candace order a $4 sandwich a $2 drink in the $3 smoothie for lunch she has $10 as symbols to the equation to represent this situation and solve it
Let's start by adding all the values for what Candace order:
Total for the order: $4 + $2 + $3 = $9
since she has a $10 bill,
she will be able to pay for it, and have the following change back:
$10 - $9 = $1
she will get back $1.
The math equations we created are then:
4 + 2 + 3 = 9
10 - 9 = 1
You have 80$ to spend on clothes jeans cost 34$ and t shirts cost 9$ without any added tax how many pairs of jeans can I purchase if I buy 1 t shirt
Answer:
2 pairs of jeans
Step-by-step explanation:
1) Subtract the cost of the t-shirt
As we are given the information that she will only be buying one t-shirt it
means that we can get rid of the price of it...
$80-$9 = $72
2) Find the number of jeans
Knowing that we have $72 left we have figure out how many jeans she
can buy by dividing 72 by 34...
$72 ÷ $34 = 2
Hope this helps, have a great day!
Sally picked five buckets of blueberry she put 500 berries in each basket how many blueberries did Sally pick in all
Since each bucket contained 500 berries and there are 5 buckets we can find the total amount of berries by multiplying the number of berries per bucket by the number of buckets. This is done below:
[tex]\begin{gathered} \text{total}=500\cdot5 \\ \text{total}=2500\text{ berries} \end{gathered}[/tex]Sally picked 2500 blueberries.
6x2 - 24x + 18 = 0
Answer please
Answer:
The answer is -1 or -3
Step-by-step explanation:
You woud use the quadritic formula
[tex]x=\frac{ -b+- \sqrt{b^{2} -4ac} \\}{2a}[/tex]
[tex]x=\frac{-24 +- \sqrt{576-432} }{12} \\[/tex]
[tex]x=\frac{-24+- \sqrt{144} }{12}[/tex]
[tex]x=\frac{-24+12}{12}\\\\x=\frac{-12}{12} \\x = -1[/tex]
or
[tex]x=\frac{-24-12}{12} \\\\x= \frac{-36}{12} \\\\x= -3[/tex]
To get the answer of -1 or -3
8. Lori bought a shirt and a hat at a half-off sale.
If she spent a total of $21 on the two items,
what was the original price of the hat?
Answer:
the hat cost 18
Step-by-step explanation:
if the shirt is 24 half the price of the shirt is 12 so 21-12= 9 which is the price of the hat discounted.
The original price of the hat is 18 because 9 x 2 = 18
Can you help me I can’t understand this question
Answer:
the graph given has a greater unit rate
Step-by-step explanation:
basically, you have to compare the gradients of both the graphs
one graph's equation is given i.e y=47/2 where 47/2 is the gradient/slope now find the gradient/slope of the given graph:
slope = x2-x1/y2-y1
chose any two coordinates on the graph and input them in the equation
I chose (2,94) and (4,188)
inputting them in the equation:
188-94/4-2
=94/2
now see which one is greater 47/2 or 94/2
94/2 is greater than 47/2 so it has a greater unit rate
can you please help me
in this problem we have that
y+20=x+15 -------> by vertical angles
isolate variable y
y=x+15-20
y=x-5 ------> equation A
and
(3x+5)+(x+15)=180 ------> by form a linear pair (sipplementary angles)
solve for x
4x+20=180
4x=160
x=40
substitute the value of x in equation A
y=40-5
y=35
therefore
x=40 and y=35
Put the following equation of a line into slope-intercept form, simplifying all fractions.
12x-20y=
12x−20y=
\,\,-100
−100
The slope intercept form of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. The given equation can be written in terms of slope in y = 0.6x + 5.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The equation of the line is 12x - 20y = -100
In order to write the given equation in slope-intercept form, write the given equation in terms of y as,
12x - 20y = -100
=> 20y = 12x + 100
=> y = 12 / 20x + 100 / 20
=> y = 0.6x + 5
Where slope is 0.6 and y-intercepts is 5.
Hence, the slope-intercept form of the given equation is y = 0.6x + 5.
To know more about straight line equation click on,
brainly.com/question/21627259
#SPJ3
Find the value of x.
Answer:19
Step-by-step explanation:
Answer:
[tex]x=\sqrt{\frac{9}{2}}[/tex]
Step-by-step explanation:
[tex]a^2+b^2=c^2\\x^2+x^2=3^2\\2x^2=9\\x^2=\frac{9}{2} \\x=\sqrt{\frac{9}{2} }[/tex]
What is the answer Im stressing
The value of corresponding angle x is 157°.
What are properties of parallel lines?Properties of Parallel Lines:
The pairs of corresponding angles are equal.
The pairs of vertically opposite angles are equal.
The pairs of alternate interior angles are equal.
The pairs of alternate exterior angles are equal.
Given: m║n
So, using the property of parallel lines we have the angles on the same side of transversal are supplementary. Let 23° is tranversal to α, then
23° +α = 180°
⇒α = 180°-23°
⇒α = 157°.
Now, using the property of vertically opposite angles we have
α = x = 157°
⇒ x = 157°
Therefore, the value of x is 157°.
To know more about parallel lines and corresponding angles, visit
https://brainly.com/question/24607467
#SPJ1
FOR BRAIBLIEST AND 50 POINTS! I NEED THIS ASAP!
Directions: Graph these in one cartesian plane(clue: it would form a triangle)
The solution is the area between the three lines, a triangle with vertices marked (see attached).
Solve the equation x^2-2zx+3xy-6zy=0 for x in terms of y and z
Answer:
x = 2z
x = -3y
Explanation:
Given the below quadratic equation;
[tex]x^2-2zx+3xy-6zy=0[/tex]Let's go ahead and factor the above completely as seen below;
[tex]\begin{gathered} x(x-2z)+3y(x-2z)=0 \\ (x-2z)(x+3y)=0 \end{gathered}[/tex]We'll now apply the Zero-product property which states that if the product of two numbers is equal to zero, it means that at least one of the numbers is equal to zero.
Applying the Zero-product rule, we'll have;
[tex]\begin{gathered} x-2z=0 \\ x=2z \\ Or \\ x+3y=0 \\ x=-3y \end{gathered}[/tex]Find the center and radius of the circle: x² + y² - 2x + 4y = -1
We need to complete the perfect square in x and y, that is,
[tex]x^2-2x=(x-1)^2-1[/tex]and
[tex]y^2+4y=(y+2)^2-4[/tex]Then, our given equation can be rewritten as:
[tex](x-1)^2-1+(y+2)^2-4=-1[/tex]which is equal to
[tex]\begin{gathered} (x-1)^2+(y+2)^2-5=-1 \\ \end{gathered}[/tex]By moving -5 to the right hand side, we have
[tex]\begin{gathered} \mleft(x-1\mright)^2+\mleft(y+2\mright)^2=-1+5 \\ \mleft(x-1\mright)^2+\mleft(y+2\mright)^2=4 \\ \mleft(x-1\mright)^2+\mleft(y+2\mright)^2=2^2 \end{gathered}[/tex]Since the general circle equation is
[tex]\mleft(x-h\mright)^2+\mleft(y-k\mright)^2=r^2[/tex]then, the answer is:
[tex](x-1)^2+(y+2)^2=2^2[/tex]then, the center is (h,k)= (1, -2) and the radius is r=2
Analysts at the Milk Company calculated the average price of a gallon of its milk over 10 years. The
following table shows the years since 2010 and the average price of a gallon of milk at those times.
Years (since 2010) 1 3 6 8 9
Price (in dollars) 3.57 3.49 3.20 2.90 3.04
Which data display would you use to represent this data?
Histogram
Line plot
Scatter plot
Line graph
The data display method that can be used to represent the data is a scatter plot. The correct option is therefore;
Scatter plot
What is a scatter plot?A scatter plot is a graph formed by plotting the ordered pairs of a set of data on the coordinate axis such that a pattern is formed that reveals the presence of any correlation or pattern between the variables.
The data in the table are presented as follows;
Year (since 2010) [tex]{}[/tex] Price (in Dollars)
1 [tex]{}[/tex] 3.57
3 [tex]{}[/tex] 3.49
6 [tex]{}[/tex] 3.2
8 [tex]{}[/tex] 2.9
9 [tex]{}[/tex] 3.04
The value calculated by the analysts at the Milk Company = The average price of a gallon of the company's milk over 10 years.
The information obtainable from the data includes the variation of the price of milk with the number of years.
The number of data points are 5, while the number of years in 10 years is 10. Therefore, 5 data points are left out and can be estimated using a trend line that matches the data.
The data display method that will suitable represent the data is therefore a scatter plot that can be further analyzed with a trend line.
Learn more about scatter plots in mathematics here:
https://brainly.com/question/22956734
#SPJ1
Answer:
it the second graph im taking the quiz right noww
Step-by-step explanation:
a teacher writes a number set on the board as shown. 5,6,7,8
Which value of x in the number set makes 6(2x+12)=144
6 is the value of x in the number set makes 6(2x+12)=144
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
The number set has numbers
Five comma, six comma, seven comma eight
5,6,7,8
We need to find which value of x in the number set makes 6(2x+12)=144
Now x=5
6(2x+12)=6(2(5)+12)
=6(10+12)
=6(22)
=132
So 5 is not value of x for 6(2x+12)=144
Now x=6
6(2x+12)=6(2(6)+12)
=6(12+12)
=6(24)
=144
5 is value of x for 6(2x+12)=144
Hence 6 is the value of x in the number set makes 6(2x+12)=144
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
9000÷20=N ????? pls answer
To get the value of N let's do the division.
The value of N is 450
HELP PLEASE! Solve and show work.
4x + 6 < -6
Answer:
Step-by-step explanation:
1. 4x+6<-6
2. 4x<-6-6
3. 4x<-12
4. x<-12/4
5. x<-3
6. The answer is x < -3.
Suppose that the amount in grams of a radioactive substance present at time t (in years) is given by A(t) = 800e -0.86t. Find the rate of change of the quantity present at the time when t = 5. O 9.3 grams per year 0 -72.7 grams per year 0-9.3 grams per year O 72.7 grams per year
Let's begin by listing out the information given to us:
[tex]\begin{gathered} A\mleft(t\mright)=800e^{-0.86t} \\ \Delta A(t)=-0.86\cdot800e^{-0.86t} \\ \Delta A(5)=-0.86\cdot800e^{-0.86\mleft(5\mright)} \\ A(5)=-9.34 \\ A(5)=-9.3g\text{ / year} \end{gathered}[/tex]Hence, the correct option is the third option -9.3 grams per year
Rosita mom is 42 years old she is six times as old as Rosita. The equation 6a=42 can be used to find Rosita age .A. 36 B. 7C. 48D. 8
We have the next equation
42=6a
we need to clear a
a=42/6
a=7
the answer is 7
how much is -5x+2=52
Find x
-5x+2=52
_______________
-5x + 2 = 52
subtracting 2
-5x + 2 -2 = 52 -2
-5x + 0 = 50
-5x = 50
Dividing by -5
-5/ -5 x = 50/ -5
1x= -10
x= -10
__________________
Answer
x= -10
Please help I have a test on this and I’m not sure how to do this
ANSWER
[tex]y=-\frac{1}{4}x^2+\frac{3}{4}x+1[/tex]EXPLANATION
We want to find the equation for the function graphed.
We see that the function passes through -1 and 4 on the x-axis and 1 is the y-intercept.
These are called the roots of the function. The roots are the x values where the function equals 0.
We can find the function by applying the roots:
[tex]y=a\mleft(x-x_1\mright)\mleft(x-x_2\mright)[/tex]where x1 and x2 are the roots.
a = leading coefficient
Therefore, we have that:
[tex]\begin{gathered} y=a(x-(-1))(x-4) \\ y=a(x+1)(x-4)_{} \end{gathered}[/tex]Expand the brackets:
[tex]\begin{gathered} y=a(x^2-4x+x-4) \\ y=ax^2-4ax+ax-4a \\ y=ax^2-3ax-4a \end{gathered}[/tex]Now, we have to find a.
To do that, we use the y-intercept of the function (0, 1). The y-intercept is the value of the function when x is 0.
Therefore, when x = 0, y = 1:
[tex]\begin{gathered} 1=0-0-4a \\ \Rightarrow-4a=1 \\ a=-\frac{1}{4} \end{gathered}[/tex]Now, substitute the value of a into the function obtained earlier.
[tex]\begin{gathered} y=-\frac{1}{4}x^2-3(-\frac{1}{4})x-4(-\frac{1}{4}) \\ \Rightarrow y=-\frac{1}{4}x^2+\frac{3}{4}x+1 \end{gathered}[/tex]That is the equation of the function graphed.
Alexa went shopping for a new pair of pants. Sales tax where she lives is 8.75%. What
number should she multiply the price of the pair of pants by to find the total plus tax
in one step?
To find the total plus tax she must multiply the price of the pair of pants and 108.75% ≈ 1.0875.
Given:
Alexa went shopping for a new pair of pants.
Sales tax where she lives is 8.75%.
Let x be the price of pants.
Total plus tax = prices of pair of pants * 1.0875.
= x * 1.0875
= 1.0875x.
Therefore to find the total plus tax she must multiply the price of the pair of pants and 108.75% ≈ 1.0875.
Learn more about the price and sales tax here:
https://brainly.com/question/13968527
#SPJ1
At Lakeville South High School, 60% of students have high-speed internet access, 30% have a mobile computing device, and 20% have both. The proportion of students that have neither high-speed internet access nor a mobile computing device is:
A. 0%
B. 10%
C. 30%
D. 80%
E. 90%
Note: the answer is 30% but I can't for the life of me figure out why
That have neither high-speed internet access nor a mobile computing device is 30%.
What is Venn diagram?Venn diagrams are utilized in various fields including business, measurements, semantics, and so forth. Venn charts can be utilized to outwardly coordinate data to see the connection between sets of things, like shared characteristics and contrasts, and to portray the relations for visual correspondence.
According to question:In school, 60% of students have high-speed internet access, 30% have a mobile computing device, and 20% have both.
Venn diagram for the situation
Thus remaining 30% students hat have neither high-speed internet access nor a mobile computing device.
To know more about Venn diagram visit:
brainly.com/question/29301560
#SPJ1
How to describe congruent triangles?
Congruency is a term used to describe two objects with the same shape and size.
In this case, two triangles are congruent if they have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position.
For instance,
these triangles are congruent. They have the same sides but in different position.
Another example is
In this case the congruency is about angles. These 2 triangles have the same angles and the same sides but in different positions.
Another instance is
They are the same triangles but in different positions.
From the first question we can see that both triangles are congruent.
This imply that they are the same but in different position:
We can note that angle C is equal to angle T, therefore
[tex]\angle T=55[/tex]In the same way, angle U is equal to angle B, then we have
[tex]\angle B=59[/tex]We can find angle A by noticing that the interior angles of a triangle add up 180, that is
[tex]\begin{gathered} \angle A+\angle B+\angle C=180 \\ \angle A+59+55=180 \\ \angle A+114=180 \\ \angle A=180-114 \\ \angle A=66 \end{gathered}[/tex]Since angle V is equal to angle A, also V=66
A ____________________ is a protective barrier that surrounds only plant cells, providing structural support.
Mitochondria
Chloroplast
Cell wall
Nucleus
A Cell wall is a protective barrier that surrounds only plant cells, providing structural support.
A cell wall, a large central vacuole, and plastids like chloroplasts are all present in plant cells. The cell wall is a thick, stiff layer that surrounds and supports the cell structurally and physically. It is located outside the cell membrane.
What is cell wall?the dense, nonliving covering that protects and sustains the majority of plant, bacterial, fungal, and algal cells. cellular wall.
The cell membrane is a layer of defense that covers the surface of the cell and serves as a partition between the interior of a cell and its surroundings. The cell membrane also regulates the materials that enter and exit the cell.
A cell is protected by its cell membrane, also known as the plasma membrane. Additionally, it maintains a constant environment inside the cell, and that membrane serves a variety of purposes. One is to move compounds out of the cell that are harmful as well as nutrients into the cell.
To learn more about cell wall refer to:
https://brainly.com/question/2622341
#SPJ1
what is the distance between (-3,-8) and (6,-8)
Answer:
9
Step-by-step explanation:
√(6 - -3)2 + (-8 - -8)2
= √(9)2 + (0)2
= √81
= 9
Hope this helps you out :)
Find the area and perimeter of the rectangle based on information given Length = 5 Width = x + 2
Given the length and the expression that represents the width of a rectangle, you need to remember that:
• The area of a rectangle can be calculated by multiplying its dimensions:
[tex]A=lw[/tex]Where "l" is the length and "w" is the width.
• The perimeter of a rectangle is:
[tex]P=2l+2w[/tex]Where "l" is the length and "w" is the width.
Then, knowing that:
[tex]\begin{gathered} l=5 \\ w=x+2 \end{gathered}[/tex]- You can set up that the area of this rectangle is:
[tex]A=5(x+2)[/tex]Simplifying, you get:
[tex]\begin{gathered} A=(5)(x)+(5)(2) \\ A=5x+10 \end{gathered}[/tex]- And the perimeter is:
[tex]\begin{gathered} P=(2)(5)+(2)(x+2) \\ P=10+2x+4 \\ P=2x+14 \end{gathered}[/tex]Hence, the answer is:
- The area is:
[tex]A=5x+10[/tex]- The perimeter is:
[tex]P=2x+14[/tex]