Answer:
[tex]3(3y + 1) + 4y = - 23 \\ 9y + 3 + 4y = - 23 \\ 9y + 4y = - 23 - 3 \\ \frac{13y}{13y} = \frac{ - 26}{13} = - 2[/tex]
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline
Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
Answer:
The surfer is 39.7 ft from the shoreline.
Step-by-step explanation:
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
pls help 60 POINTS ASAP
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Loading . . .
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
4x-y = 7
Answer:
no solutions
Step-by-step explanation:
i guess im
What is the value of 20+6•5/-2
Answer:
The answer is 25
Step-by-step explanation:
6•5=30
30+20=50
50/-2=25
5x−4=16
what do i do
Answer:
x=4
Step-by-step explanation:
5x-4=16
5x-4+4=16+4 add 4 to each side
5x=20 simplify
5x/5=20/5 divide each side by 5
x=4 simplify
Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.
Answer:
three times the two foot wave wuold be the six foot wave
Step-by-step explanation:
because its right
Fill in the missing numbers to complete the pattern:
5.81, ,5.91,5.96, ,6.06
Zoe went shopping for a new pair of pants. The listed price of the pair of pants was
$45, but the price with tax came to $46.35. Find the percent sales tax.
ASAP!
Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
PLEASE HELP!!
Which inequality describes all the solutions to -5x + 6 -9
B. x 4
Answer:
-5x-3
Step-by-step explanation:
-5x+6-9=-5x-3
The inequality that describes all the solutions to the given inequality expression is x > 4
Given the inequality expression -5x + 6 < 2(-3 − x)
Expand the right-hand side of the ineqality
-5x + 6 < -6 - 2x
Collect the like terms
-5x + 2x < -6 - 6
-3x < -12
Divide both sides by -3
-3x/-3 > -12/-3
x > 4
Hence the inequality that describes all the solutions to the given inequality expression is x > 4
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Jack is 1.78 m tall.
Amy is 5 cm taller than Jack.
How tall is Amy?
Answer:
1.83
Step-by-step explanation:
1.78 + 5 cm
because it says she is taller so you add both
Height of Amy who is 5 cm taller than Jack is 1.83 meters.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.
Therefore, The sum of the height of Jack and 5 cm more is the height of
Amy.
Therefore,
178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)
So, 183 cm is equal to 1,83 meters.
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3.2÷(0.16+0.24)2( the 2 right next to this is a exponent)
10.) Combine the like terms in the following expression: 8 + 3x + x + 5 + 2x *
Answer:
6x+13
Step-by-step explanation:
I hope this is right.
thi is due at 9:00 please help
Answer:
-2 -4
Step-by-step explanation:
saying to use 20 letters lol hope that helps
Write each percent as a fraction in simplest form.
12%
If water freezes at 0ᴼC, which temperature is above freezing
Answer:
32 F
Step-by-step explanation:
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
There is more than one answer!
Answer:
I think it's B and D
Step-by-step explanation:
i need step by step help pls someone help me and quick!
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00?
Answer:
$36.75
Step-by-step explanation:
The sales tax rate = 5 = 0.05 [Divide by 100 to convert in decimal]
The cost of a pair of shoes = $35.00
Tax amount to pay = Tax rate × Cost of a pair of shoes
5% of 35 = 1.75
35 + 5% = $36.75
Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
~Thanks in advance !
Answer:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Step-by-step explanation:
We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.
First, we will need the distance formula, given by:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the point on the locus be P(x, y).
So, the distance from P to (0, 2) will be:
[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]
And, the distance from P to (0, -2) will be:
[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]
So sum of the two distances must be 6. Therefore:
[tex]d_1+d_2=6[/tex]
Now, by substitution:
[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]
Simplify. We can subtract the second term from the left:
[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]
Square both sides:
[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]
We can cancel the x² terms and continue squaring:
[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]
We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:
[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]
We can divide both sides by -4:
[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]
Adding 9 to both sides yields:
[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]
And, we will square both sides one final time.
[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]
Distribute:
[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]
The 36y will cancel. So:
[tex]4y^2+81=9x^2+9y^2+36[/tex]
Subtracting 4y² and 36 from both sides yields:
[tex]9x^2+5y^2=45[/tex]
And dividing both sides by 45 produces:
[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]
Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.
factorize -pq -pr +mq +mr
Answer:
(q + r) (m - p)
Explanation:
-pq - pr + mq + mrFactor out common term 'p'= -p(q + r) + mq + mr
Factor out common term 'm'= -p(q + r) + m(q + r)
Factor out common term '(q + r)'= (q + r) (-p + m)
(q + r) (m - p)- PNW
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
the middle sign
Step-by-step explanation:
40.8-10 to the power of 2
Answer:
-4
Step-by-step explanation:
8-10 = -2
-2^2 = -4
948.64
Subtract then multiply by itself
No offense but can't you use a calculator?
What is the volume of the composite figure. I said 36 but it is wrong.
Answer:
108
Step-by-step explanation:
You are correct for stating one tissue box has a volume for 36.
But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.
36+36+36=108
Answer:
6*3*2=36 there are 3 boxes so 36*3=108
Step-by-step explanation:
The length of the hypotenuse of a right triangle
is 10 cm and the length of one leg is 5 cm. What is
the length of the other leg?
Help please!!!!!!
Explain
Find the value of x. Your answer must be exact.
х
45° 18
Answer:
x = 63
Step-by-step explanation:
Simplifying
x + -18 = 45
Reorder the terms:
-18 + x = 45
Solving
-18 + x = 45
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + x = 45 + 18
Combine like terms: -18 + 18 = 0
0 + x = 45 + 18
x = 45 + 18
Combine like terms: 45 + 18 = 63
x = 63
Simplifying
x = 63
the measure of the angles in a heptagon measure 95 107 132 138 145 and 158 what is the measure of the 7th angle
Answer:
ANSWER:123
Step-by-step its very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle
The measure of the seventh angle in the heptagon is 125 degrees.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
We are given the measures of six angles in the heptagon, which are:
95, 107, 132, 138, 145, and 158 degrees
Sum of angles in Heptagon is 900 degrees.
To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:
Measure of the seventh angle = Sum of angles - Sum of known angles
Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees
Measure of the seventh angle = 900 degrees - 775 degrees
Measure of the seventh angle = 125 degrees
Therefore, the measure of the seventh angle in the heptagon is 125 degrees.
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