Answer:
[tex]\boxed{x = 4~~and~~y = -2}[/tex]
Step-by-step explanation:
3x + 5y = 2 (times 5) 15x + 25y = 10
5x + 8y = 4 (times 3) 15x + 24y = 12
.
15x + 25y = 10
15x + 24y = 12
y = -2
.
Substitute the value of y to one of equations
3x + 5y = 2
3x + 5(-2) = 2
3x - 10 = 2
3x = 2 + 10
3x = 12
[tex]x = \frac{12}{3}[/tex]
x = 4
The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts. What is the z-score of a bag containing 168 peanuts
Answer:
- 2.368
Step-by-step explanation:
Given that :
Mean (m) = 172. 5
Standard deviation (s) = 1.9
Score (x) = 168
The Zscore can be obtained thus :
Zscore = (x - m) / s
Zscore = (168 - 172.5) / 1.9
Zscore = - 4.5 / 1.9
Zscore = −2.368421
Zscore = - 2.368
is y=30x a function?
Answer:no try y=Mx+b
Step-by-step explanation:
Answer:
y = 30x is a function.
Step-by-step explanation:
Given an equation, there should be only one corresponding (cor a sponding to pronounce) y value for any y value.
Please help due in 20 mins
Answer:
1. -.005
2.-1/2
3. 0
4. 2
Step-by-step explanation:
if it is negative put positive and if it is positive put negative. for 0 it will always stay the same
Please help will give Brainliest, 5 stars and Thanks!
Drag the colon to the correct spot in the sentence.
Answer: Ronald has a daily ritual that includes the following activities : exercising on the treadmill for an hour, reading the morning papers, and getting coffee from a café on his way to work.
Step-by-step explanation:
A colon is used to introduce a list of items in a sentence.
If the polynomial shown below is to be a perfect square trinomial, what
must the value of k be? *
9a2 + ka + 16
Can someone show me the answer and maybe the work
Answer:
Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]
Step-by-step explanation:
We need to solve the expression:
[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}[/tex]
We know the exponent rule: [tex](a^n)^m = a^{nm}[/tex]
[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}[/tex]
Now, another exponent rule says that: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
[tex]=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}[/tex]
We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]
=[tex]\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}[/tex]
So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]
How many sides does the polygon measures 160 degrees how many sides does the polygon have???
Answer:
18 sides
Step-by-step explanation:
I'm not sure what the question is, but this is what I think the question is.
"An interior angle of a regular polygon measures 160 degrees. How many sides does the polygon have?"
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
If the polygon is a regular polygon, then the measure of each interior angle is
(n - 2)180/n
Here, we are told an interior angle measures 160 deg.
(n - 2)180/n = 160
(n - 2)180 = 160n
(n - 2)18 = 16n
(n - 2)9 = 8n
9n - 18 = 8n
n = 18
Answer: 18 sides
What is the value of x, if the equation 2(x + 60) + 2(30) = 200
ANSWER PLEASE !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
62 degrees
Step-by-step explanation:
First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=
58+4=
62 degrees
Fred added 5 fish to his fish tank and then decided to give half away to his sister. He had 12 fish remaining. How many fish were in the fish tank originally?
Answer:
19 because i used a calculatorrrrrrr
A sign in front of a roller coaster says "You must be 40 inches tall to ride."
What percentage of this height is: 26 inches
Answer:
65%
Step-by-step explanation:
it is 65%
Answer:
10.4 Inches
Step-by-step explanation:
26% * 40 = 10.4
What is the sign of the product (8)(−23)( −21)(−29)?
A) Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive
B)Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive
C)Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative
D)Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number
Answer:
D) Negative, because the product(8)(-23) is negative and the product of (-21)(-29) is positive, and the product of a negative number and a positive number is negative number
If RT=6x+4 and SO =7x-6, what is the length of US
Tyra has 12 2/3 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 2/3 ÷ r can be used to find how many batches Tyra can make with the sugar she has. If r is 2/3 cup, how many batches of cookies can Tyra make? Enter your answer in the box. Quick I need help plz.
Answer:
19 batches
Step-by-step explanation:
Given that:
Total number of cups of sugar = [tex]12\frac{2}{3}[/tex]
Amount of sugar used in one batch = [tex]r[/tex]
Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.
i.e.
Number of batches = [tex]12\frac{2}{3} \div r[/tex]
Also, if we put the value:
[tex]r=\frac{2}{3}[/tex]
We have to find the number of batches of cookies that can be made by Tyra.
Solution:
First of all, let us have a look at the formula to convert the mixed fraction into fractional number.
[tex]a\dfrac{b}{c} = \dfrac{a\times c + b}{c}[/tex]
Therefore,
[tex]12\dfrac{2}{3} = \dfrac{12\times 3 + 2}{3} = \dfrac{38}{3}[/tex]
Number of batches:
[tex]\dfrac{38}{3} \div \dfrac{2}{3}\\\Rightarrow \dfrac{38}{3} \times \dfrac{3}{2}\\\Rightarrow \bold{19}[/tex]
Therefore, 19 batches can be completed.
-3(4x2)-2x please also show your work
Answer:
-24 - 2x
Step-by-step explanation:
-3(4x2)-2x
-3(8) - 2x
-24 - 2x
5a + 12d - 19a -11d -a
Answer:
-15a+d
Step-by-step explanation:
5a-20a+12d-11d
-15a+d
Find the slope of a line that goes through the points (-5,8) and (-7,-5)
Answer:
[tex]m=\frac{13}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 8)
Point (-7, -5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-13}{-2}[/tex]Simplify: [tex]m=\frac{13}{2}[/tex]Answer:
we will use the equation
(y2-y1)/ (x2-x1)
lets plug in our values
(-5-8)/(-7-(-5)
-13/-2
this answer is your slope value hope this helps
Step-by-step explanation:
Which graph represents the equation y=−32x−3?
Answer:
Step-by-step explanation:
So first you do y=z and1+2=3 so 6=y=-0 is your answer :)
A company sells two sizes of rugs. A small rug sells for $14.00 and a medium-size rug sells for $25.00. The company sold 80 rugs last month and had $1340 in sales. Let x equal small rugs and y equal medium rugs. Which of the following system of equations can be used to determine how many of each type of rug was sold? (5 points)
A 40x + 40y = 80
14x + 25y = 1340
B x + y = 80
14x + 25y = 1340
C x + y = 39
11x + 15y = 80
D x + y = 80
40x + 40y = 1340
Answer:
c
Step-by-step explanation:
A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row follows an arithmetic sequence,
how many rows does the theater have?
Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l), where
a is the first terml is the last termn is the number of the terms∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S[tex]_{n}[/tex] = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = [tex]\frac{n}{2}[/tex](26 + 150)
∴ 2,816 = [tex]\frac{n}{2}[/tex](176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which sequence shows the numbers in order from least to greatest?
c is the best answer c c c c c c c c c c c c.
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of pp pennies and dd dimes?
Answer:
17 cents
Step-by-step explanation:
what is pp and dd tho
Penny is one cent
Dime is ten cents
1 pp = $0.01
1 dd = $0.10
2 pp = $0.02
3 dd = $0.30
2 pennies and 3 dimes is equal to $0.32 in dollar value.
b) through: (5, 5) and (0, -1)
Slope: m=
y-intercept: b =
Equation: y =
For the slope, we will use the slope formula*.
[tex]m = \frac{-1 - 5}{0 - 5} = \frac{-6}{-5}[/tex]
The y-intercept is already given. It is 1.
To create the equation of the line, we put what we got for m and b in slope-intercept form**.
[tex]y = -\frac{6}{5}x + 1[/tex]
Formulas:
Slope formula: y₂ - y₁/x₂ - x₁
Slope-intercept form: y = mx + b
Sara is saving her summer earning for a $500 school trip in the fall. She has $200 in her savings account at the beginning of June. Each week, Sara deposits $35 into her savings account. Sara wants to know how many weeks she needs to deposit her money?
find the value of x
A group of 24 people need transportation from a hotel to a concert. They will be picked up by Uber drivers that can fit 4 passengers in their compact car and 6 passengers in their SUV’s. You would like to determine how many compact cars and SUVs could be used to transport the entire group. Let x = the number of compact cars and let y = the number of SUV's.
Write and graph an equation that models the situation.
Answer:
Step-by-step explanation:
Compact cars:
24 divided by 4 = 6
6 cars for 24 people
SUV's:
24 divided by 6 = 4
4 SUV's for 24 people
Answer:
[tex]4x+6y=24[/tex]
See below for graph.
Step-by-step explanation:
A total of 24 people need to be transported.
Let x represent the number of Uber compact cars.
And let y represent the number of SUVs.
So, the number of people that can be picked up by x compact cars is 4x.
And the number of people that can be picked up by y SUVs is 6y.
And the total is 24 people. So, the two terms must total 24. So, we can write:
[tex]4x+6y=24[/tex]
We can convert this to slope-intercept form. First, we can divide everything by 2:
[tex]2x+3y=12[/tex]
Subtracting 2x from both sides yields:
[tex]3x=-2x+12[/tex]
Finally, dividing both sides by 3 yields our linear equation:
[tex]\displaystyle y=-\frac{2}{3}x+4[/tex]
Please refer to the below attachment for the graph.
*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.
**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.
I need help with this pls anybody if u know these pls help
Answer: Please give me brainliest?
4: B
5: B
6: H (12)
8: C (3,-6)
7: 120
Step-by-step explanation:
6.
6x-6=3x+30
3x=36
x=12
7. 7x-6=5x+30
2x=36
x=18
5 x 18 = 90 +30 = 120
Factor the expression using the GCF (Greatest Common Factor)
12x + 36
Answer:
12 ( x+3)
Step-by-step explanation:
We can factor a 12 out of each term
12 *x + 12*3
12 ( x+3)
Multiple choice question: A square mosaic is made of small glass squares. If there are 196 small squares
in the mosaic, how many are along one edge? Image is of a mosaic, not the
problem. *
O 14 squares
O 49 squares
O 98 squares
O 16 squares
Answer:
14 squares
Step-by-step explanation:
1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares
2. Area is L×W, so in this case A×A=196
3. We can test this by replacing A with 14 and seeing if the answer is correct.
4. 14×14=196 is true
This can also be done by finding the square root of 196.