Answer:
X = 3
Step-by-step explanation:
First count the amount of X's. There are 5 and it is plus two. Both sides should be equal in value so you have to set up your equation.
5x + 2 = 17
Then Solve For X
5x + 2 = 17
Subtract 2 from both sides
5x = 15
Divide by 5
X = 3
Check your answer
5(3) +2 = 17
15 + 2 = 17
17 = 17
It is correct!
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 27°
Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.
To find the value of x, remember that the sum of the
measures of the angles in a triangle is 180°
So we can setup the equation 63 + 90 + x = 180.
Remember that a box indicates a 90° angle.
Now to solve for x, let's first simplify on the left side of the equation.
63 + 90 is 153 so we have 153 + x = 180.
Now to get x by itself, we subtract 153 from both sides of the equation.
On the left side of the equation, 153 - 153 cancels out and we have x
and on the right side of the equation, 180 - 153 is 27.
This means that the missing angle in the triangle is 27°.
Jessie spent $10 on 3 hair accessories. Which
point represents this relationship?
Answer:
A
Step-by-step explanation:
(x, y) = (3, 10) . . . . Point A
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
Plsssss help plssss ASAP plssss I beg u plsssssssssssssssssssss it’s so hard :((((
Which situation is a true statement about payment options?
CLEAR CHECK
A) An advantage of online banking is that you do not need to keep detailed records when paying bills.
B) Paying with a credit card means the amount you spend will be deducted from your checking account.
C) Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.
D) To avoid paying interest on your credit card purchases, pay only part of your balance each month.
Answer:
c
Step-by-step explanation:
A 13.5 m fire truck ladder is leaning against a wall.
Find the distance the ladder goes up the wall if it
makes an angle of 43.8° with the ground.
To solve this problem you must apply the proccedure shown below:
1. You have the the 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
39 degrees 45'=39.75°
Sin(39.75°)=d/13.5
d=13.5xSin(39.75°)
d=8.63
solve for f(-1), f(x)=-3+3, f(-1)=?
Answer:
0
Step-by-step explanation:
RGRRGRGRGRGRG THIS IS ONLY FOR idunno9 GHRGRGRGRFERRGRGRGRGRGRGRGRR
Answer: thanks
Step-by-step explanation:
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
Solve for x (round to the nearest hundredths of a degree)
PLEASE HELP ME DUE IN A HR
Answer:
x = 34.85
Step-by-step explanation:
Apply trigonometric ratio formula to find x
Reference angle = x
Side opposite to x = 4
Hypotenuse = 7
Therefore,
Sin x = opp/hyp = 4/7
x = sin-¹(4/7)
x = 34.85° (nearest hundredth)
what is 1/9+3/5= what is the fraction
Answer:
32/45
Step-by-step explanation:
A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?
Answer:
y = 9x + 10
Step-by-step explanation:
y = mx + b
Here, m is slope and b is y-intercept
y = 9x + 10
On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A) Triangle X W Y is shown. Angle X Y W is a right angle. The length of hypotenuse W X is y, the length of X Y is a, and the length of W Y is 9. Triangle W X Y is shown. Sides W X and X Y are congruent. The length of W Y is 7. Triangle W X Y is shown. Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y. Triangle W X Y is shown. The length of W X is 10, the length of X Y is 8, and the length of W Y is 16.
Answer:
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
Step-by-step explanation:
On which triangle can the law of cosines be applied once to find an unknown angle measure?
The Law of cosines is given as:
a² = b² + c² - 2bccos(A)
From the options given above, the correct option is Option C
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
This is because:
Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.
In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10
The unknown side is the length of W X which is represented as y.
Hence, Option C is the correct option.
Answer:
D
Step-by-step explanation:
I got it right on my program.
If there are two boys to every three girls, what percent of the class is girls?
If x=5 then what is 3x+(2-4x). P.S. standard form
Answer:
-3
Step-by-step explanation:
3x+(2-4x)
3*5+(2-4*5)
3*5+(2-20)
3*5+(-18)
3*5-18
15-18
-3
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
Will give brainliest
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
azardous waste can the container hold? Round your answer to the nearest whole number. (1 ft 7.5 gal)
Answer:
It can hold up to [tex]1.256ft^3[/tex] of waste
Step-by-step explanation:
Given
[tex]D = 1.5ft[/tex] -- Diameter
[tex]h = 1.6ft[/tex] -- height
Required
Determine the amount of waste it can hold
This simply means that we calculate the volume of the cylindrical container.
And this is calculated using:
[tex]Volume = \pi r^2h[/tex]
Where
[tex]\pi = 3.14[/tex]
and
[tex]r = \frac{D}{2}[/tex]
[tex]r = \frac{1.5}{2}[/tex]
[tex]r = 0.75[/tex]
So, we have:
[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]
[tex]Volume = 1.256ft^3[/tex]
Hence, it can hold up to [tex]1.256ft^3[/tex] of waste
The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.
The amount of waste a cylinder can hold will be given by the volume of the cylinder.
The volume of the cylinder will be
[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]
We have
d = 1.5 ft
h = 1.6 ft
Then
[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]
More about the cylinder link is given below.
https://brainly.com/question/3692256
Write 0.0004891 in scientific notation.
Answer:
4.891×10^-4
Step-by-step explanation:
..................
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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I need some help please
Answer:
might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong
Step-by-step explanation:
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
Kate had $140. She spent
2/5 of it. What amount did she spend?
The amount Kate spent $ 56 of the $ 140 she had.
To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.
To do this, we can multiply $ 140 by the fraction 2 / 5:
= $ 140 * 2 / 5
= $280 / 5
= $ 56
Therefore, Kate spent $ 56 of the $ 140 she had.
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Pls help I’ll brainlest for the correct answer
Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answer:
The answer is blah blah blah blah
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150