Given Jessica and Laura's expenditure on shirts and pants, the equation to solve for the price of each shirts and pants is:
3s + 4p = 90
4s + 2p = 70
Let
Cost of each shirts = s
Cost of each pants = p
Jessica:
3s + 4p = 90 (1)
Laura:
4s + 2p = 70 (2)
Multiply (2) by 2
8s + 4p = 140 (3)
8s + 4p = 140 (3)3s + 4p = 90 (1)
Subtract (1) from (3) to eliminate p
8s - 3s = 140 - 90
5s = 50
s = 50/5
s = $10
substitute s = 10 into (1)
3s + 4p = 90 (1)
3(10) + 4p = 90
30 + 4p = 90
4p = 90 - 30
4p = 60
p = 60/4
p = $15
Therefore, the cost of each shirts is $10 and the cost of each pants is $15
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Find the missing side of the triangle
(Pythagorean theorem)
Answer:
18.8 in
Step-by-step explanation:
the pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c, [tex]\sqrt{a^{2}+b^2}} =c[/tex]
the two legs are 8 and 17 inches. so we have [tex]\sqrt{8^{2}+17^2}} =c[/tex]. simplify to get sqrt(353) or around 18.79in
Answer:
18.8
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + 17^2 = c^2
64+289 = c^2
353=c^2
Taking the square root of each side
sqrt(353) = sqrt(c^2)
18.78829423 = c
To the nearest tenth
18.8 =c
Ms. Sanchez’s guests drank 5 3/4 gallons of pink lemonade in 1/4 hour. What was the average rate in gallons per hour which her guests drank the pink lemonade
Answer:
23 gallons per hour
Step-by-step explanation:
5 3/4 * 4 = 23
times the amount drank in 1/4 hours by 4 to get the amount drank in 1 hour
(1/4 * 4 = 1 hour (example))
I need help ASAP please “f(x)= ?”
Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
WILL GIVE BRAINLIEST!!!
Answer:
A) 115°
Step-by-step explanation:
if PQ || RS then those two angles are supplementary
Help me plsss????
Plssssssss
Answer: 32.50 [No $ sign as per the directions]
Step-by-step explanation:
The graph appears as a straight line. That means we can pick any two points and calculate the slope, m, for the equation of a straight line: y = mx + b
We can pick any two points, so I'll pick two that do not require interpretation of the graph. Points (0,0) and (8,20) look good since we can feel relatively confident that the line crosses those two points since they fall on the graph marking lines.
Slope is Rise/Run, or the change in y per the change in x. For these two points, we have:
Rise = (20 - 0) or 20
Run = (8 - 0) or 8
The slope is Rise/Run. 20/8, or 2.5
[The units for the slope are $/lb, but units are to be left out of the answer]
The equation is now y = 2.5x + b
b is the y-intercept, the value of y when x = 0. We can see that y = o when x = 0, so b is zero.
The final equation is y = 2.5x
Use x = 13 lbs to find the cost of 13 lbs of blueberries.
It is 13*2.5 = 32.50
waiting for other questions
Answer:
A) 13
Step-by-step explanation:
If you recall the formula for finding a diagonal, or a^2 + B^2 = C^2, you will get 12^2 + 5^2 = C^2, if you solve that, you will get 13!
Select the correct answer.
Which statement and reason best complete the proof?
Answer:
A. - This is my guess.
Hey luvvs, Can u plz help me with this Freind me if u do bestiess
Answer:
a because u would practically take the negative off
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
By the definition of the multiplicative inverse:
a * 1/a=1
Now, Multiplicative inverse of - 8/11:
=-8/11 * -11/8
=1
If you need to ask any questions, I would gladly give you the answer.x+5y=-5 find x and y intercept
Answer:
x= (5,0) y= (0,1)
Step-by-step explanation:
The vertices of ΔABC are A (1, 5), B (3, 9), and C (5, 3). The vertices of ΔDEF are D (−3, 3), E (−2, 5), and F (−1, 2). Which conclusion is true about the triangles?
A. The ratio of their corresponding sides is 1:3.
B. They are congruent by the definition of congruence in terms of rigid motions.
C. The ratio of their corresponding angles is 1:3.
D. They are similar by the definition of similarity in terms of a dilation.
The dimensions of triangle ΔDEF can be obtained from ΔABC by applying a scale factor of dilation of [tex]\displaystyle \frac{1}{2}[/tex].
The conclusion which is true about the triangles is D. They are similar by the definition of similarity in terms of dilation.Reasons:
The given vertices of the triangles are;
ΔABC: A(1, 5), B(3, 9), C(5, 3)
ΔDEF: D(-3, 3), E(-2, 5), and F(-1, 2)
The lengths of the sides of ΔABC are
AB = √((1 - 3)² + (5 - 9)²) = √20 = 2·√5
BC = √((5 - 3)² + (3 - 9)²) = √40 = 2·√10
AC = √((1 - 5)² + (5 - 3)²) = √20 = 2·√10
The lengths of the sides of ΔDEF are;
DE = √((-3 - (-2))² + (3 - 5)²) = √5
EF = FE = √((-1 - (-2))² + (2 - 5)²) = √10
DF = √((-3 - (-1))² + (3 - 2)²) = √5
Therefore;
[tex]\displaystyle The \ dilation \ that \ gives \ \Delta ABC = \frac{\overline {EF}}{\overline {BC}} = \frac{\overline {DE}}{\overline {AB}} = \frac{\overline {DF}}{\overline {AC}} = \frac{\sqrt{10} }{2\cdot \sqrt{10} } = \frac{1}{2}[/tex]
The ratio of the sides of ΔABC to the corresponding sides of ΔDEF are equal to [tex]\displaystyle \frac{1}{2}[/tex].
Which gives;
ΔDEF is a dilation of ΔABC, and ΔDEF and ΔABC are similar by the
definition of similarity in terms of a dilation.
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Answer:
Step-by-step explanation:
They are congruent by the definition of congruence in terms of rigid motions.
Today everything at a store is on sale. The store offers a 20% discount.The regular price of a T-shirt is $22. What is the discount price?
Answer:
$17.60
Step-by-step explanation:
HELP YALL PLEASE! I WILL MARK BRAINIEST TO WHOEVER IS CORRECT!!
Answer:
Line 1: Is parallel Line 2: Is Neither Line 3: Is parallel
Paradise Resort has a total of 350 lounge chairs. If 210 chairs are under umbrellas, what percent of the lounge chairs are under umbrellas?
Pick the model that represents the problem.
Answer:
60%
Step-by-step explanation:
1% is 3.5
10% is 35
210 / 35 = 6
PLEASE I NEED HELP!!! NO LINKS
Answer:
7. (0, -3) (1,-4) (2,-2)
Is 6 divided by 5
=1
Answer:
no, it's 1.2
Step-by-step explanation:
A craftsman can repair about 1.5 antique books a week. How many books can he repair in six weeks?
Answer:
He can repair 9 books in 6 weeks
Step-by-step explanation:
1.5 x 6 = 9
Answer:
In six weeks, he can restore 9 antique books.
1.5 × 6 = 9
Step-by-step explanation:
hope this helps. . . <3
Suppose a normal distribution has a mean of 120 and a standard deviation of
10. What is P(x >= 100)?
Notice that 100 is 20 less than 120, or equivalently 2 standard deviations σ below the mean µ. So
P(x ≥ 100) = P(x ≥ µ - 2σ)
Recall the empirical rule for normal distributions (these are true for any mean µ and s.d. σ):
• P(µ - σ ≤ x ≤ µ + σ) ≈ 0.65
• P(µ - 2σ ≤ x ≤ µ + 2σ) ≈ 0.95
• P(µ - 3σ ≤ x ≤ µ + 3σ) ≈ 0.997
The probability we want is the same as
P(x ≥ µ - 2σ) = P(µ - 2σ ≤ x ≤ µ + 2σ) + P(µ + 2σ ≤ x)
or
P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)
which is clearly some number larger than 0.95, so A must be correct.
Suppose a normal distribution has a mean of 120 and a standard deviation, P(x >= 100) is 0.975. Option A. This is further explained below.
What is a normal distribution?Generally, normal distribution is simply defined as a function that displays the dispersion of numerous unknown parameters as a symmetrical bell-shaped graph.
In conclusion, based on the function
P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)
the function P(x >= 100) is 0.975
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What is 0.3284 rounded to the nearest tenth?
Answer: 0.3
Step-by-step explanation:
because the hundreths place is less than 5 you round down the 0.3. If it was 5 or greater you would round up to 0.4
ms. sublet class has a ratio of 3 to 1 boys if there are four girls in the class how many boys are there
Step-by-step explanation:
3:1 boys
x:4 boys (when there are 4 girls)
x = 3×4 = 12
there are 12 boys in the class.
if 3x/4 - 13 = -9 then what is the value of x^2
A right triangle \mathrm{ABC}ABC is shown.
What is cos AA?
Answer:
90
Step-by-step explanation:
students are encouraged to exercise at least 2 1/2 hours a week. Hector exercises about the same number of hours each week. during a 4 week period he exercises 11 1/2 hours. how many hours does he exercise per week?
Answer:
On average, he exercises 2.875 hours per week.
Step-by-step explanation:
Just do 11 1/2 (11.5) divided by 4, and you get your answer of 2.875 hours per week.
Find the equation of the line that passes through (2, -3) and is parallel to y = -3/8x + 2
Answer:
y = -3/8x - 9/4
Step-by-step explanation:
Since we know the equation is parallel to y = -3/8x + 2, the slope of our equation will also be -3/8
So our equation can be written as:
y = -3/8x + b
To find 'b', we can plug in the point (2, -3) into the equation:
-3 = -3/8 * 2 + b
b = 3/4 - 3 = -9/4
So our final equation becomes:
y = -3/8x - 9/4
Step-by-step explanation:
answer is -3.5........
Yallah yallah i dont understand!
Answer:
Option D is your answer.
Step-by-step explanation:
Remember that the x-values are the x coordinates and the y-values are the y coordinates in an ordered pair. Ordered pairs are written like this (x,y).
So for line r, you got (-6,4), (-3,0), and (0,-4).
But you only need two of these pairs to determine slope. Let's do that real quick, by using this formula. (Sorry if it's small)⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
We'll use (-6,4) and ( -3,0).
0 - 4 = -4
-3 - (-6) = -3 + 6 = 3
So slope of line r is -4/3.
Now we'll do the same for line s:
Ordered pairs = (-5,-4), (5,0), and (20,6)
We'll use (-5,-4) and (5,0).
0 - (-4) = 0 + 4 = 4
5 - (-5) = 10
So slope of line s is 4/10 or 2/5.
Now we got to find the option choice that has these as the slopes.
We'll turn each into slope-intercept form.
A)
- Subtract 4x on both sides to get
3y = -4x - 12, then divide 3 on both sides to get y = -4/3 x - 4.
- Subtract 2x on both sides to get
-5y = -2x + 10, then divide -5 on both sides to get y = 2/5 x - 2.
B)
- Add 4x on both sides to get
3y = 4x + 12, the divide 3 on both sides to get y = 4/3 x + 4.
- Subtract 2x on both sides to get
-5y = -2x - 10, divide -5 on both sides to get y = 2/5 x + 2.
C)
- Subtract 4x on both sides to get
-3y = -4x - 12, then divide -3 on both sides to get y = 4/3 x + 4.
- Add 2x on both sides to get
-5y = 2x + 10, then divide -5 on both sides to get y = -2/5 x -2.
D)
- Add 4x on both sides to get
-3y = 4x - 12, then divide -3 on both sides to get y = -4/3 x + 4.
- Add 2x on both sides to get
5y = 2x + 10, then divide 5 on both sides to get y = 2/5 x + 2.
After all that writing we can tell that D is our answer, because both -4/3 and 2/5 appear as slopes.
Sorry this may seem like a lot, but the process really isn't that hard. Hope this helps :)
nine less than six times a number is at most 33
The population of a nearby town dropped from 7,500 to 6,000 in one year.
What was the percent decrease in the town's population that year?
Group of answer choices
Answer:Possible Answers: 13.2%. 5.7%. 15.0%.
Step-by-step explanation:
Instructions: Find the measure of x and y.
R
89°
E
Х°
81°
G
yo
F
=
Y
Check
Answer:
m ∠x = 81° and m ∠y = 109°
Step-by-step explanation:
m ∠R = 1/2 (arc REG) m ∠G = 1/2(arc REF)
89° = 1/2 (arc REG) 81 = 1/2(arc REF)
178° = arc REG 162° = arc REF
m ∠x = 1/2 arc REF
m ∠x = 1/2( 162°)
m ∠x = 81° or m ∠G = m ∠x because these to angles intersect the same arc, therefore they are equal.
Now the polygon interior angles = 360° and you know the measure of three of the four angles, solve for the missing angle .
m ∠R + m ∠x + m ∠y + m ∠G = 360°
89° + 81° + m ∠y + 89° = 360°
(89 + 81 + 81) + m ∠y = 360°
251° + m ∠y = 360°
m ∠y = 109°
What value is equivalent to 2 × 3 + 4 − 6^2?
A) -26
B) -22
C) -2
D) 10
Answer:
-26
Step-by-step explanation:
2 × 3 + 4 − 6^2
PEMDAS
exponents are first in this equation
2 × 3 + 4 − 36
Then multiply
6 +4 -36
Then add and subtract from left to right
10-36
-26
Answer:
A) -26
Step-by-step explanation:
2 * 3 + 4 - 6²
Use PEMDAS to figure out the equation.
Pass parenthesis since there are none in the equation.
Evaluate all of the exponents.
2 * 3 + 4 - 36
Evaluate all of the multiplication in the equation.
6 + 4 - 36
Pass division since there isn't any in the equation.
Evaluate all of the addition in the equation.
10 - 36
Evaluate all of the subtraction in the equation.
-26.
How do you do (x^3 + 6x^2 +11x +6) / (x^2 + 5x + 4) in long division?
Answer:see the photo I send to you
Step-by-step explanation:
Ok
On the movie “Old," on the island 8 hours and 17 minutes translated to 16.5 years, meaning 1 hour = 2 years on the island approximately.
If the boy was 6 years old on the island when he got there and aged to 50 by the end of the movie, how many hours was he on the island?
If the boy was 6 years old on the island when he got there and aged to 50 by the end of the movie, then he spent 22 hours on the Island
1 hour on the land = 2 years on the Island
Age of the boy when he got to the Island = 6 years
Age of the boy at the end of the movie = 50 years old
Difference in the boy's age = 50 - 6
Difference in the boy's age = 44 years
Since:
2 years = 1 hour
44 years = 44/2 hours
44 years = 22 hours
The boy was on the Island for 22 hours
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