Answer:
x= −7/5
Step-by-step explanation:
Step 1: Distribute and combine like terms
3(x−6)−8x=−2+5(2x+1)
(3)(x)+(3)(−6)+−8x=−2+(5)(2x)+(5)(1)(Distribute)
3x+−18+−8x=−2+10x+5
(3x+−8x)+(−18)=(10x)+(−2+5)(Combine Like Terms)
−5x+−18=10x+3
−5x−18=10x+3
Step 2: Subtract 10x from both sides.
−5x−18−10x=10x+3−10x
−15x−18=3
Step 3: Add 18 to both sides.
−15x−18+18=3+18
−15x=21
Step 4: Divide both sides by -15.
Hope this helps! :)
A quadratic function has one zero (x-intercept) at x = -5 and another zero at x = 3. What is the equation of the axis of symmetry of this function?
Answer:
x = - 1
Step-by-step explanation:
The axis of symmetry is a vertical line located at the midpoint of the zeros.
Equation is then
x = [tex]\frac{-5+3}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , that is x = - 1
In a park, a sidewalk is built around the edge of a circular garden as shown. The sidewalk is 5 feet wide, and the garden measures 10 feet across. Which measurement is closest to the circumference of the outer edge of the sidewalk?
Answer:
63 feet.
Step-by-step explanation:
The total diameter of the circular garden is given by 5ft+ 10 ft + 5 ft= 20 feet
As the circumference of the circle = 2πr where r = radius obtained by dividing the diameter by 2. Here the diameter = 20 feet and r= d/2 = 20/2 = 10 feet
Putting the values in the circumference formula
Then C= 2(22/7) (10)= 62.85 feet
Rounding gives almost 63 feet .
Felipe built a rectangular rainwater collection tank in his garden that is 5 ft long and 3 ft wide. The volume of the tank is 75 cubic ft.
What is the height of his rainwater collection tank?
Answer:
5ft
Step-by-step explanation:
Volume = length x width x height
5 x 3 x h = 75
15h = 75
h = 5
IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION
Answer:
45 pages in 1 hour
Step-by-step explanation:
Find the unit rate by dividing the number of pages by the number of hours
135/3
= 45
This means he can read 45 pages in 1 hour.
The unit rate is 45 pages in 1 hour.
ANSWER FAST NO LINKS OR BAD RANDOM ANSWER OR YOU WILL BE REPORTED! Thank you, marking brainliest!
Answer:
48+25.12=73.12
Step-by-step explanation:
6 baked a cake forty eight
8*4/2=16
Answer: 73.12in
Step-by-step explanation:
triangle LMN is shown what is the area of the triangle
Answer:
16
Step-by-step explanation:
(2 means squared) (c is the hypotenuse)
a2+b2=c2
a2+ (12×12) = (20×20)
a2+144=400
a2=256
a=16
help please no links please
Answer:
7 muffins
Step-by-step explanation:
9x9=81
88-81=7 muffins
Answer:
7 muffins
Step-by-step explanation:
88 x 9 =
81
81 + 7 = 88
So the Answer is 7
Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the 5 remaining trigonometric functions. Sketch a triangle in the correct quadrant and label.
sec θ= 17/15
sin θ<0
Answer: See step by step. Replace the x with theta
Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.
We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.
We can find tangent by using the identity
[tex]tan^{2} (x)+ 1=sec^{2} (x)[/tex] where x is theta.
[tex]tan^{2} (x)+1=\frac{289}{225}[/tex]
[tex]tan^{2} (x)+\frac{225}{225} =\frac{289}{225}[/tex]
[tex]tan^{2}(x)=\frac{64}{225}[/tex]
tan x=[tex]\frac{8}{15}[/tex], Tangent in the fourth quadrant is negative so the answer is instead
[tex]tan x= -\frac{8}{15}[/tex]
We can find cotangent by taking the recipocial of tan so
[tex]cot=-\frac{15}{8}[/tex]
We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is
[tex]cos =\frac{15}{17}[/tex]
We can find sin by doing quoteint identies.
[tex]\frac{sin x}{cos x} =tan x[/tex]
[tex]\frac{ sin x}{15/17} =-\frac{8}{15}[/tex]
[tex]sin x= -\frac{8}{17}[/tex]
To find csc, take reciprocal of sine.
[tex]csc=\frac{-17}{8}[/tex]
1/4-x<2x+1 what does x equal?
Answer:
Mark me as brainliest
and zoom in
John es mariscal de campo. Este año completo 350 pases, que representan 70% de todos los pases que lanzó este mismo año
Answer:
245
Step-by-step explanation:
70% =.07
350 × .07 =245
Can somebody plz help answer these questions correctly (only if u know how to do it) thx sm! :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
<5 = 30
<6 = 60
<BFD = 120
Step-by-step explanation:
the straight line L has an equation y=1/2x+7. The straight line m is parallel to L and passes through the point (0,3). Write down an equation for the line M.
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 7 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes
line M crosses the y- axis at (0, 3) ⇒ c = 3
y = x + 3 ← equation of line M
FOUND THIS ON THIS APP SO IM NOT 100% SURE THIS IS THE RIGHT ANSWER
Barry and Bernice have obtained a 30-year, fixed rate mortgage for $635,250 with a 7.35% interest rate. They purchased 2 points and their rate is now 6.925%. Factoring in the cost of points, when is the break-even point on their mortgage?
2 years, 11 months
3 years, 11 months
5 years, 10 months
2 years, 4 months
A rectangle has a length of 6 cm and an area of 18 cm2.
What is the width of the rectangle?
Answer:
A=l×b
18 = l × b
b = 18/6
b = 3
9. Zane owes his dad money for his cell phone that he
lost. So far, Zane has paid his dad $23, and he will pay
his dad an additional $45 each month until he has
repaid him for the phone. Which equation shows the
relationship between m, the number of months that
Zane has been making payments and t, the total
amount he has paid his dad?
Answer:
T=45m+23
Step-by-step explanation:
Answer:
T=45m+23
Step-by-step explanation:
For every 1 girl in Mr Hegarty's class there are 2 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answer:
1:2
Step-by-step explanation:
For 1 girl there are 2 boys. This means fro 2 girls there would be 4 boys. You use the ratio girls over boys to answer this.
:)
In which pair is the value of Expression A two times the value of Expression B?
A.
Expression A: 3 × (55 + 21)
Expression B: 3 × (22 1/2 + 21)
B.
Expression A: (75 + 23)
Expression B: (75 + 23) × 2
C.
Expression A: (44 + 32) × 8
Expression B: (44 + 32) × 4
D.
Expression A: (3 × 55) + 42
Expression B: (3 × 55) + 21
Answer:
C
Step-by-step explanation:
What is another way that you could write the ratio of pennies to quarters?
Answer:
1/100 to 25/100
or
0.01 to 0.25
Step-by-step explanation:
Pennies are also known as one per cent. Cent refers to 100 and pennies are called one per cent because they value 1 out of 100. 100 pennies equal one dollar.
Similarly, one quarter is 1/4 of a dollar and 1/4 equals 25/100 when multiplying the numerator and denominator by 25.
Find the mean of the data in the dot plot below. students Size of each of Mr. Sirac's classes + + + + 21 20 22 23 24 25 26 28 27 Number of students Show Calculator Report a Stuck? Watch a video or use a hint.
How many square inches of paper would you need to cover this entire prism
1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From
a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper
light is measured to be 32 degrees.
a) Find to the nearest foot the distance from the boat to the lower light.
b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the
distance from the boat to the foot of the tower.
Solution :
It is given that the distance between the two lights is 30 feet.
The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree
The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree
∴ ∠ PBQ = ∠ ABP - ∠ ABQ
= 32 - 14
= 18 degree
In triangle PAB
∠ PAB = 180 - (90 + 32)
= 58 degree
Similarly in triangle AQB
∠ AQB = 180 - (90 + 14)
= 76 degree
Now considering triangle PBQ and applying the sine theorem,
[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]
we know PQ = 30 feet
∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]
= 82.33 feet
Again taking the right triangle ABQ and applying sine theorem,
[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
∴ [tex]$AB = 82.33 \times \sin 76$[/tex]
= 79.88 ft
= 80 feet
Juanita is bringing the snacks for her daughter’s soccer team. Each girl on the team will eat 1/3 of an orange and drink one serving of juice or 1/9 of the amount in a bottle. How many oranges and how many juice bottles will she need for all 18 girls?show you work!!
Answer:
6 Oranges and 2 bottles of juice.
Step-by-step explanation:
For the amount of oranges: 18÷3=6 (take 1/3 of 18).
For the bottles of of Juice: 18÷9=2 (take 1/9 of 18).
in this question, if the numerator is 1, then just divide the number of girls by the denominator (eg. 3 and 9 in this case).
There are six oranges and two bottles of juice will she needs for all 18 girls.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
There are the total number of girls is 18. Each girl will eat 1/3 of an orange and one serving of juice, or 1/9 of the amount in a bottle.
To determine the number of oranges and the bottles of juice.
We have to divide the number of girls by the denominator (eg. 3 and 9 in this case).
For the number of oranges:
1/3 of 18
18 ÷ 3
18 / 3 = 6
For the bottles of Juice:
1/9 of 18
18 ÷ 9
18 / 9 = 2
Hence, there are six oranges and two bottles of juice will she needs for all 18 girls.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
Multiply 3 by the number of apples in each bag x and add it to 3 times the number of bananas in each bunch y an then multiply that sum by 3
Answer:
9(x+y)
(3x + 3y) 3
can someone help me pls i need the answer to pass pls. 80 points and ill give you brainliest
Answer:
Hello, I Am BrotherEye, I Am Happy To Help
Step-by-step explanation:
If you have complementary angles and one angle is 83°, what is the other angle?
Answer:
7 degrees
Step-by-step explanation:
90-83=7
Answer:
7 degrees
Step-by-step explanation:
complementary angles are equal to 90
how do you solve 8x-3y=-70 and -2x+5y=-8 using the elimination method please show work.
Answer:
6x+2y=-78
Step-by-step explanation:
8x-3y=-70
-2x+5y=-8
6x+2y=-78
Answer:
(-11, -6).
Step-by-step explanation:
8x-3y=-70
-2x+5y=-8 Multiply this equation by 4:
-8x+20y=-32
Now add this last equation to the first equation:
17y = -102 - we see that we have eliminated x.
y = -102/17
= -6.
Now plug y=-6 in the first equation to get x:
8x-3(-6)=-70
8x =-70 -18
8x =-88
x = -11.
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 25. What is the difference of the
means as a multiple of the MAD?
The difference of the means is.......? times the MAD
HELP!
Answer:
The difference of the means is 2 times the MAD
Step-by-step explanation:
Mean of data set A = 42
Mean of data set B = 47
MAD of both data sets = 2.5
Difference of their means = 47 - 42 = 5
Thus, the difference of their means = 2 × the MAD
= 2 × 2.5 = 5
Therefore:
The difference of the means is 2 times the MAD
4. Frank lives 1/2 blocks east of Mary. Mary lives 3/5 blocks east of school.
How many blocks east of school does frank live? *
Answer:
1 and 1/10 from the school
3/5=6/10
1/2=5/10
6/10+5/10= 11/10
11/10=1 1/10
what is (0,3) given a slope of -2, in slope intercept form
Answer:
y=-2x + 3
Step-by-step explanation:
Answer:
y=-2x + 3
Step-by-step explanation:
(0,3) is the y intercept and
-2 is the slope
I need help with this
Instead of ( 1 - 4) all satisfy the equation
hope it helps
