A group of friends are at a baseball game and are purchasing souvenirs. Olivia purchased 1 t-shirt and 5 baseball caps, spending a total of $165. Her Marco purchased 1 t-shirt and 4 baseball caps, which cost him a total of $137. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
Answer:
baseball cap = $28
t-shirt = $25
Step-by-step explanation:
Olivia: t +5b = 165
Marco: t + 4b = 137
isolate t in Olivia's equation
t = 165 - 5b
plug t into Marco's equation
165 - 5b + 4b = 137
165 - b = 137
b = 28
plug b into either equation
t + 4b = 137
t + 4(28) = 137
t + 112 = 137
t = 25
1.
Find the value of x in the parallelogram below.
*
65
Enter each line of work as an equation.
Answer:
x+65=180(being cointerior angle)
x=180-65
x=115
When y = 5; 3y - 21=
Please help me find the length of EC
Answer:
15
Step-by-step explanation:
BD=AC
E is the midpoint of both lines, so BE=CE
Jackson record the elevations relative to sea level that two fish are swimming.The first was at 6 feet, and second was at 11 feet What are the opposite elevations and what do they represent
the answer is
-6 and -11 which are the opposites
Franklin needs 1.25 meters of ribbon to wrap each gift. He has a spool of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. How many gifts of the same dimension can he wrap using the spool of ribbon?
Answer:
6
Step-by-step explanation:
convert 1.25 meters to feet
1 meter = 3 feet
1.25 meters = 1.25 x 3 = 3.75 feet
Number of gifts he can warp = 25 feet / 3.75 = 6.6
What is the slope of a line perpendicular to the line of the equation in the above ? Please help answer !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!
Answer:
- 4Step-by-step explanation:
Slopes of perpendicular lines are negative-reciprocals.If m is the slope of one line, the slope of the perpendicular line is -1/m.Let's find the slope of the given line:
x - 4y = -12Rewrite this in the slope-intercept form: y = mx + b
x - 4y = -124y = x + 12y = 1/4x + 3The slope is 1/4
The perpendicular line has slope
- 1/(1/4) = - 4What is the volume of the rectangular pyramid below?
An item is regularly priced at $ 70. It is on sale for 40% off the regular price. How much in dollars) is discounted from the
regular price?
Answer:
42
Step-by-step explanation:
70 minus 40 percent equals 42
LOOK AT PIC PLS THX!! I WILL TRY TO GIVE BRAINLIEST TO RIGHT ANSWRR
Answer:
240 ounces
Step-by-step explanation:
y'know you could just look this up lol
Answer:
240 oz
Multiply pounds by 16
15 × 16 = 240
The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?
the area of a figure is 36cm2. Give 3 shapes of figure. where possible give 3 possible sets of dimensions for each possible shape. answer in less than one minute pls)
Answer:
121
Step-by-step explanation:
Calculate the geometric mean of 12 and 20
Answer:
The Geometric mean of two numbers is the square root of their product.
Given numbers are 12,20.
Geometric mean = √(12*20)
= √240.
= 15.49.
= 15.5.
The geometric mean of 12 and 20 is 4√15.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 3 + 3x + 4y = 7 is an expression.
We have,
The geometric mean of a and b is √(ab).
Now,
a = 12 and b = 20
so,
The geometric mean of 12 and 20.
= √(12 x 20)
= √240
= 4√15
Thus,
The geometric mean of 12 and 20 is 4√15.
Learn more about expressions here:
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sos please help how to do this
Answer:
±√7
Step-by-step explanation:
[tex]3 {x}^{2} + 7 = 28 \\ 3 {x}^{2} = 21 \\ {x}^{2} = 7 \\ x = \sqrt{7} [/tex]
a trapezoid is a parallelogram always sometimes never
Answer:
never
Step-by-step explanation:
trapezoids only have one set of parallel lines. a parallelogram has to have two or more
The straight line y = 3x +2 intersects the curve y = 2x^2 + 7x-11 at two points. Find the coordinates of these two points Give your answers correct to 2 decimal places.
Given:
The equation are
[tex]y=3x+2[/tex]
[tex]y=2x^2+7x-11[/tex]
To find:
The coordinates of intersection points.
Solution:
We have,
[tex]y=3x+2[/tex] ...(i)
[tex]y=2x^2+7x-11[/tex] ...(ii)
From (i) and (ii), we get
[tex]3x+2=2x^2+7x-11[/tex]
[tex]0=2x^2+7x-11-3x-2[/tex]
[tex]0=2x^2+4x-13[/tex]
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].
Using quadratic formula, we get
[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]
[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]
Now,
[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]
[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]
[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]
Putting x=1.74 in (i), we get
[tex]y=3(1.74)+2[/tex]
[tex]y=5.22+2[/tex]
[tex]y=7.22[/tex]
Putting x=-3.74 in (i), we get
[tex]y=3(-3.74)+2[/tex]
[tex]y=-11.22+2[/tex]
[tex]y=-9.22[/tex]
Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).
how many ounces are equivalent to 6 pounds?
Answer:
96
Step-by-step explanation:
1 pound is 16 ounces
6 pounds=x ounces
So we use the X to signal it's presence
1x16 is 16,
That means 16 ounces
6xP=Q
6x16 will give us our answer
Because it will tell us how many pounds there are since ounces is multiplied to get ounces.
6x16=96
P=16
Q=96
96 is our answer.
I hope this helps!!!!
If you need help, don't hesitate to ask!
I'm here until 2:30
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Number 13 and 14 don’t matter but help ‼️
Help please its geometry
Answer:
b
Step-by-step explanation:
Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.
Rewrite using a single positive exponent.
8
.8
-3
Classify Two-Dimensional Figures
Answer:
The bottom left ( square )
Step-by-step explanation:
top left : parallelogram
top right : irregular shape, i'm not sure on it's name
bottom left : square, which in special cases can be a rectangle.
bottom right : Trapezium which comes under the category of a parallelogram
The third figure in the given diagram is a rectangle.
What is a rectangle?A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree.
From the given figure we can see that the third figure is having four sides in which two opposite sides are parallel and equal all the four sides are perpendicular to each other making an angle of 90 degrees.
Therefore the third figure in the given diagram is a rectangle.
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The value of 3° is
its from the chapter exponenets
Answer:
1
Step-by-step explanation:
=>. the value of 3° = 1
=> it is known to us that any number to the
power zero is equals to 1
hope it helps
2+5.67890654321678-5432
two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles
Answer:
93
Step-by-step explanation:
Solve the inequality and write the solution in set-builder notation.
t-3>-8
I have no idea what set builder is, so I'll just solve it if that's okay.
t-3>-8
First, to cancel out -3, you need to add it to both sides.
t-3>-8
+3 +3
t>-5
---
hope it helps
32 is what percent of 110? (round to the nearest percent)
14. A system of equations is shown below. For what value of a will this system have no solutions? Justify your answer.
y = 4x-9
y = ax+6
Answer:
a = 4
Step-by-step explanation:
a = 4
If a = 4, then both lines have the same slope and different y-intercepts. That makes both lines parallel. Since the lines never intersect, there is no solution.
Answer:
x can not equal zero, as it would cause division by zero.
Step-by-step explanation:
First, let's make one equation out of them and see what we get. Because both of them have y on the left, we can say that the two right sides are equal, giving us:
4x - 9 = ax + 6
If we solve for a, we get:
ax + 6 = 4x - 9
ax = 4x - 15
a = 4 - 15 / x
With that arrangement we can see clearly that x can not be equal to zero, as it would give us division by zero.
Can someone pleade help me on this question 8
Find the area of the shaded region. Round to the nearest hundredth when necessary.
2 24-5what is 24 - 2x wanted to 24 - 5 exponent
Answer:
24-5:x2
Step-by-step explanation:
im not sure
mark brainliest if it helps