Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
Joshua made a quilt for his cousin's doll. The quilt had an 8 × 8 array of different color square patches. If each patch is 2 2 3 in long, what is the area of the whole quilt?
Answer:
[tex]Area = 455.11\ in^2[/tex]
Step-by-step explanation:
Given
[tex]Patches = 8\ by\ 8[/tex]
[tex]Length = 2\frac{2}{3}\ in[/tex] each
Required
The area of the quilt
First, calculate the length of the quilt.
[tex]Length = 8 * 2\frac{2}{3}[/tex]
[tex]Length = 8 * \frac{8}{3}[/tex]
[tex]Length = \frac{64}{3}[/tex]
Next, the width
[tex]Width= 8 * 2\frac{2}{3}[/tex]
[tex]Width= 8 * \frac{8}{3}[/tex]
[tex]Width = \frac{64}{3}[/tex]
The area is then calculated using:
[tex]Area = \frac{64}{3} * \frac{64}{3}[/tex] i.e. Length * Width
[tex]Area = \frac{4096}{9}in^2[/tex]
[tex]Area = 455.11\ in^2[/tex] --- approximated
look at the triangle. What is the approximate value of x
Answer:
relationship between perpendicular and base is given by tan angle
tanx°=p/b
tanx°=45/30
x°=tan-¹(45/30)=56.30=56
Answer:
0.03
Step-by-step explanation:
In given triangle,
perpendicular(p)=45
base(b)=30
x=?
We know,
tanx = p/b
or, tanx = 45/30
or, tanx = 3/2
or, x = tan-1(9/7)
or, x = 56.3099324740202 i.e. 56 approximately
If rectangle ABCD is reflected over x=3, does the area of the rectangle change? Explain
Answer:
Nope
Step-by-step explanation:
Rigid transformations don't change the area or perimeter of a shape.
what is the product of 4(y)= and
4(5)=
pls answer fast
Step-by-step explanation:
4(5) is 20 bit im not sure exactly what your other question is asking!!?
Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?
a.7
b.6
C.5
D.4
Answer:
5
Step-by-step explanation:
9p-5
9(5)-5
45-5
40
(3+p)5
(3+5)5
(8)5
40
LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer
Answer:
1.84
Step-by-step explanation:
First you solve what is in the parenthesis.
60 - 5.8 = 54.2
The equation is now 54.2 ÷ 5 - 3^2
Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.
Your equation is now 54.2 ÷ 5 - 9
You then divide 54.2 ÷ 5
54.2 ÷ 5 = 10.84
The last equation is 10.84 - 9
10.84 - 9 = 1.84
Answer:
Answer 1.84.
Step-by-step explanation:
The first person's answer and explanation is correct.
6c^2+2c^4−c in Standard form
Answer:
Step-by-step explanation:
the answer in standard form is 2c^4+6c^2-c
4cos(x) = 3
solve this
Answer:
41.4 degrees
Step-by-step explanation:
Find cos x by dividing both sides of this equation by 4:
cos x = 3/4 = 0.75
Using a calculator's inverse cosine function, find x:
arccos 0.75 = 0.723 radian, or
0.723 rad 180 deg
--------------- * ------------- = 41.4 degrees
1 pi rad
During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?
shots
(Hint: A free throw is worth one point).
Answer:
I think the answer would be :
19 + 11 + 8 = 38 .
Answer:
19 + 11 + 8 = 38 .
Step-by-step explanation:
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
help help help help help
Write the equation of a circle with center (0,−6) and radius 4 in general form.
Answer:
x^2 + (y + 6)^2 = 4^2
Step-by-step explanation:
The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
If the center is at (0, -6) and the radius is 4, then the desired equation is
(x - 0)^2 + (y + 6)^2 = 4^2, or just
x^2 + (y + 6)^2 = 4^2
Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
PRICE LIST
carrots: 50p per kg
potatoes: 64 per kg
onions: 42p per kg
Chicken: £6 per kg
She pays with a £20 note.
Work out the change that Mehvish should get.
Answer:
The amount of change will be £7.99
Step-by-step explanation:
Here, we want to calculate the amount of change that Mehvish should get
1/2 kg carrots at 50 p per kg will be;
1/2 * 50 = 25 p
3 kg potatoes at 64 p per kg will be
3 * 64 = p 192
2 kg onions at 42 p per kg
2 * 42 p = 84 p
1 1/2 kg chicken at £6 per kg will be:
since £1 is 100 p
1.5 * 6 = £9 (9 * 100 p = 900p)
since £1 is 100 p
£20 will be;
20 * 100 = 2,000 p
So let us make the subtraction as follows;
2,000- 900 - 84-192 - 25 = 799 p
In pounds, this is divided by 100
we have this as 799/100 = £7.99
Figure ABCD is a rhombus. Find the value of x. 4x+2 3x+5
Answer:
4x+2
[tex] - \frac{84}{5} [/tex]
3x+5
[tex] - \frac{91}{10} [/tex]
Step-by-step explanation:
i hope its correct
Answer:
3
This is the correct answer
The school band will sell pizzas to raise money for new uniforms. The supplier charges $97.00 plus $6.00 per pizza. The band members sell the pizza for $8.00 each. Enter and solve an inequality to find how many pizzas the band members will have to sell to make a profit. Let p be the numbers of pizzas sold. The inequality is ? The band members will need to sell at least __. pizzas.
Answer:
49 pizzas
Step-by-step explanation:
Start by writing it as a equation,
P stands for Pizza
6p +97 = 8p
Minus 6p from both sides
97=2p
Divide by 2
P= 48.5
You would need to round up, so it would be 49 pizza
Helppp plzzzzzzzzzzz
The answer is B............
Answer:
B
Step-by-step explanation:
Your answer is B because 0 is greater than any negative number. Also, it is a solid line and full dot meaning the less than sign gets a line under it.
A bakery used 37% more chocolate chips this month than last month. If the bakery used 320 pounds of chocolate chips last month, how much did it use this month?
Answer:
438.4
Step-by-step explanation:
100% + 37% = 137% = 1.37
320 x 1.37 = 438.4
so the answer that I got is 438.4
I really hope this helps
How far from the Centre of a circle of
radius 3 Sem's a chord
Chord 2.sem
long
Answer:
Step-by-step explanation:
length of semichord=2/1=1 cm
[tex]d=\sqrt{3^2-1^2} =\sqrt{8} =2\sqrt{2}[/tex]
or d≈2.83
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
The volume of a cylinder is 65 cubic centimeters. Which equation can be used to find h, the height of the cylinder?
A. h = 65/b, where B is the base area of the cylinder.
B. h = 65 - B, where B is the base area of the cylinder.
C. h = 65B, where B is the base area of the cylinder.
D. h = B/65, where B is the base area of the cylinder.
Answer:
Im so sorry for do this but can you help me click my profile pic the click the last question PLZZZZZZZ will give 50 brain
Step-by-step explanation:
The equation that can be used to find h, the height of the cylinder, is h = B/65. The correct option is D.
How to calculate the height?The formula for the volume of a cylinder is:
V = Bh
Where V is the volume, B is the base area, and h is the height of the cylinder. We are given that the volume of the cylinder is 65 cubic centimeters, so we can write:
65 = Bh
To solve for h, we can divide both sides of the equation by B:
h = 65/B
Therefore, the equation that can be used to find h, the height of the cylinder, is:
D. h = B/65, where B is the base area of the cylinder.
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what is a reasonable estimate of the probability that the next tucker family vacation lasts less than 3 days?
Answer:
i cant estimate it but i think 4
The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation of 7 pounds. What is the standardized score for a wrestler with a weight of 230 pounds?
Answer: C. 1.43
Step-by-step explanation:
Z score formula is x-mean/ Standard deviation
230-220/7= 10/7= 1.43
So the standardized score is 1.43
b) Evaluate 27 : 32.
Answer:
0.84375
Step-by-step explanation:
ZA and ZB are complementary angles. If mZA = (2x + 10)° and m
ZB = (3x + 15)', then find the measure of ZB.
Answer:
∠ZB = 54°
Step-by-step explanation:
Given:
Pair of complementary angles
∠ZA = (2x + 10)° and m
∠ZB = (3x + 15)
Find:
Measure of ∠ZB
Computation:
complementary angles
a + b = 90°
∠ZA + ∠ZB = 90°
(2x + 10) + (3x + 15) = 90
5x + 25 = 90
x = 13
So,
∠ZB = (3x + 15)
∠ZB = 13(3) + 15
∠ZB = 54°
help meeeeeeeeee T^T
Answer:
C) 120
Step-by-step explanation:
Use three times five and minus one times
you will get 12 and multiply by 10
Help me out , plzzzzz
Answer:0.14%
Step-by-step explanation:
Question 2 of 10
If data set A has a larger standard deviation than data set B, data set A is
more spread out than data set B.
A. True
B. False
SUB
It is true that if data set A has a larger standard deviation than data set B, data set A is more spread out than data set B.
How to determine the true statement?The standard deviation is a measure of spread.
And the more the standard deviation, the more the spread
This means that if the dataset A has a larger standard deviation than the dataset B, then the dataset A is more spread out than B
Hence, the given statement is true
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What is the value of the expression when m= 8 and n=5?
m + 35 - n
Answer:
8 + 35 - 5
43 - 5
38
Answer:
38
Step-by-step explanation:
8+35−5
Add 8 and 35 to get 43.
43−5
Subtract 5 from 43 to get 38.
38
Find the value of x in the isosceles triangle shown.