Answer:
x = -47, y = 39
Step-by-step explanation:
2x+3y=23 →equation 1
3x+4y=15 →equation 2
by elimination method,
(2x+3y=23) × 4
(3x+4y=15) × 3
8x + 12y = 92
(-) (-) (-)
9x + 12y = 45
---------------------
-1x + 0 = 47
-x = 47
x = -47
substitute x=-47 in equation 1
2(-47) + 3y = 23
-94 + 3y = 23
3y = 23 + 94
3y = 117
y = 117/3
y = 39
therefore, x = -47 and y = 39
hope you understood ❤❤❤
A book costs $4.75 plus sales tax. After sales tax, the book is $5.13. What is the approximate sales tax rate?
Answer:
Step-by-step explanation:
5.13 - 4.75 = 0.38
4.75 / 0.38 = 12.5
Someone please help with this middle school math lol
Q.3)
Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129,
A. 19
B. 54.7
114
D. 32.67
A cab company charges $4 per cab ride, plus an additional $2 per mile driven. Write an equation that shows the relationship between the distance x and the cost y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 2x + 4
Step-by-step explanation:
So, the cab company charges a flat fee of $4 per cab ride, meaning 4 has no variables in the equation. Now, x is the distance, and the cab company charges $2 per mile driven. Per mile driven is a distance unit, so the x goes with the 2. From that, you can get that the cost is equal to 4 dollars plus 2x (2 times the distance in miles). This is y = 2x+4.
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
If a couple has 3 children, what is the probability of all three children being girls? Justify.
Answer:
The probability of all three children being girls will Be: 1/8
Step-by-step explanation:
The couple has 3 children.
We have to determine the probability of all three children being girls.
As we know that for each child, the probability of being a girl is ' [tex]\frac{1}{2}[/tex] ' as is the probability of being a boy is ' [tex]\frac{1}{2}[/tex] '.
so for there to be all girls, the probability will be:
P ( all girls) = 1/2 × 1/2 × 1/2 = 1/8
Therefore, the probability of all three children being girls will Be: 1/8
Appreciate if sum one could give me help
Answer:
okay so
Step-by-step explanation:
A and B together means straight
C is curved or somthing like curved bc
its not like a circle i would so Horizontical or Vertical
Understanding Prime Factorization
Which expressions show the prime factorization of 90?
Check all that apply.
2 3 x 15
22 x 3 x 5
0 2x 32 5
0 2 x 5 x 9
o 2 x 3 x 3 x 5
Intro
Done
Ans) The prime factorization of 90 is 2 × 3 × 3 × 5.
The weights in a weighted mean can be relative frequencies
Answer:
WHAT IS THIS QUESTION ABOUT?
Step-by-step explanation:
In the 2015 NFL season, the Philadelphia Eagles won 7 games, the New York Giants won 6 games, and the Houston Texans won 9 games. Select whether each statement is true or false.
Answer:
dey r all true
Step-by-step explanation:
estimate each product 8 × 56.7
Answer:
465??
Step-by-step explanation:
Answer 1 and 2 please and thank you
Answer:
C DONT REPORT ME
Step-by-step explanation:
47
Simplify
52
4 10
55
RE
5
421
56
127
153
Find the value of the expression: 1/3√.81-1
Answer:
1/6
Step-by-step explanation:
1/3÷by.81_81_1 and =1/6according to the calculator :^)
estimate the unit rate to the nearest hundredth 2.35
Answer:
below
Step-by-step explanation:
The 5 represents the hundredth place so this means that its already rounded to the nearest hundredth.
Best of Luck!
There are 2 value's in a game. one of them is Pancake, the other is waffle. Pancakes are worth 1.5x a waffle. I have 10 waffles, how much Pancake value do I have?
Answer:
Approximately 6.67 pancakes.
Step-by-step explanation:
We can write an equation that relates the two items.
Let P represent Pancake and let W represent Waffle.
Pancakes are worth 1.5 times a Waffle. Therefore:
[tex]W=1.5P[/tex]
To find the Pancake value for 10 Waffles, we can substitute 10 for W and solve for P. Therefore:
[tex]\begin{aligned} W&=1.5P \\ 10&=1.5P \\ 6.\overline{6}&=P \end{aligned}[/tex]
Hence, 10 Waffles equates to approximately 6.67 pancakes.
Work out the mean data for 9.7,4.5,1.9,8,6.6
Step-by-step explanation:
im not really sure about this but I think it's 6.1
Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)
Answer:
[tex]g(f(2)+3)=30[/tex]
Step-by-step explanation:
We have the two functions:
[tex]g(t)=t^2-t\text{ and } f(x)=1+x[/tex]
And we wish to find:
[tex]g(f(2)+3)[/tex]
First, let’s find f(2) first. So, we will substitute 2 for x for f(x):
[tex]f(2)=1+(2)=3[/tex]
Hence, we can now substitute 3 for f(2):
[tex]g(f(2)+3)=g(3+3)=g(6)[/tex]
Now, we can find g(6). Substitute 6 for t for g(t):
[tex]g(6)=(6)^2-(6)=36-6=30[/tex]
Therefore:
[tex]g(f(2)+3)=30[/tex]
Determine whether the planes are parallel, perpendicular, or neither.8x + 8y + 8z = 1, 8x − 8y + 8z = 1 parallel perpendicular neither Correct: Your answer is correct.If neither, find the angle between them. (Round your answer to one decimal place. If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)
Answer:
The answer is "[tex]\bold{\theta= 70.53^{\circ}}[/tex]"
Step-by-step explanation:
The given value:
[tex]8x+8y+8z = 1\ and \ 8x-8y+8z = 1[/tex]
When the normal vectors are in the plane:
[tex]n_1 = < 8,8,8 > \ and \ n_2 = < 8, -8, 8>:[/tex]
Because the two variables really aren't proportional to each other and the wings are not parallel.
Let us just find that two vectors' dot product.
[tex]n_1 \cdot n_2 =<8,8,8> < 8,—8,8>\\\\ = 64-64+ 64 \\\\ = 64 \neq 0[/tex]
Therefore, we won't find that angle between both the given planes as parallel.
[tex]\cos \theta = \frac{n_1 \cdot n_2}{|n_1||n_2|}\\\\\cos \theta =\frac{64}{\sqrt{192} \sqrt{192}}\\\\\cos \theta =\frac{64}{8\sqrt{3} 8\sqrt{3}}\\\\\cos \theta = \frac{1}{3}\\\\ \theta = 70.53^{\circ}[/tex]
It is required to know the orientation of one plane relative to the other.
The angle between the planes is 70.5°.
PlanesThe given planes are
8x + 8y + 8z = 1
8x − 8y + 8z = 1
Parallel
[tex]\dfrac{8}{8}=\dfrac{8}{-8}=\dfrac{8}{8}\\\Rightarrow 1\neq -1\neq 1[/tex]
The planes are not parallel.
Perpendicular
[tex]8\times 8+8\times -8+8\times8=64\neq 0[/tex]
The planes are not perpendicular as dot product is not 0.
Finding angle
[tex]\theta=\cos^{-1}\dfrac{8\times 8+8\times -8+8\times8}{\sqrt{8^2+8^2+8^2}\sqrt{8^2+(-8)^2+8^2}}\\\Rightarrow \theta=\cos^{-1}\dfrac{1}{3}\\\Rightarrow \theta=70.53^{\circ}[/tex]
Learn more about planes:
https://brainly.com/question/26262923
5 divided by 10
(This is a random question I just thought of, whoever answers first I’ll give brainliest)
.5
Step-by-step explanation:
5 divided by 10 is 0.5
20 PTS! Is the answer h=2.7?
Answer:
Yes your right
Step-by-step explanation:
PLEASE HELP ASAP WILL MARK BRAINLEIST
Answer:
x = 85°, y = 30°
Step-by-step explanation:
40° + x + 55° = 180°
x + 95° = 180°
x = 85°
85° + 65° + y = 180°
150° + y = 180°
y = 30°
What are the values of a and b?
a=
b=
Answer:
The values of a and b are:
a = 2[tex]b=4[/tex]Step-by-step explanation:
Given the exponential model
[tex]y=a\cdot \:b^x[/tex]
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
[tex]y=a\cdot \:b^x[/tex]
[tex]128=2\cdot \:b^3[/tex]
Switching sides
[tex]2b^3=128[/tex]
[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]
[tex]b^3=64[/tex]
Taking the real value such as:
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]
so
[tex]b=\sqrt[3]{64}[/tex]
[tex]b=\sqrt[3]{4^3}[/tex]
[tex]b=4[/tex]
Therefore,
a = 2[tex]b=4[/tex]For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?
Answer:
Step-by-step explanation
150 divided by 4 3/8 = 34.2
Solve the inequality for x:
4x - 28 > 16
We have:
4x - 28 > 16
Add 28 to both sides:[tex]4x-28+28>16+28[/tex]
Simplify:4x > 44
Divide both sides by 4:[tex]\dfrac{4x}{4}>\dfrac{44}{4}[/tex]
Simplify:[tex]\boxed{x>11}[/tex]
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x>11\:\\ \:\mathrm{Interval\:Notation:}&\:\left(11,\:\infty \:\right)\end{bmatrix}[/tex]
Which decimal number is equal to 3/18 ?
A. 0.167
B. 0.16¯
C. 0.16¯¯¯¯
D. 0.167¯¯¯¯¯
Answer:
Second option
Step-by-step explanation:
In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.
[tex]\frac{3}{18}[/tex]
[tex]\frac{3}{18} =3\div18[/tex]
[tex]3\div18=0.16666666666[/tex]
= 0.16666666666 or 0.16 repeating
Hope this helps.
15 POINTS IF U ANSWER CORRECT
Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday?
Answer:
x/5 = 5280/1
Step-by-step explanation:
this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.
Find the general solution for the differential equation (dy)/(dx) + 3y = 18
Y=
Answer:
[tex]y=-e^{-3x-c_1}+6[/tex]
Step-by-step explanation:
[tex]\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6[/tex]
What is the area of the figure?
Answer: 17.5 square yards
================================================
Work Shown:
base = 5 yards
height = 7 yards
The base and height are always perpendicular to one another
area of triangle = 0.5*(base)*(height)
area of triangle = 0.5*(5)*(7)
area of triangle = 17.5 square yards
The other values aren't used. They're likely thrown in as a distraction.
Pls help thanks
.............
Answer:
Can you re-take the picture? It's too shaky then I can help you :)