x = 15/2
Step-by-step explanation:
Step 1: Add 1 to both sides.
2/3x − 1 + 1 = 4 + 1
2/3x = 5
Step 2: Multiply both sides by 3/2.
(3/2) * (2/3x) = (3/2) * (5)
x = 15/2
A student's four test scores were 88, 91, 93 and 86. What score would be needed on a fifth test to obtain a mean of 90 for all five test?
A. 90
B. 92
C. 95
D. 96
Answer:
92
Step-by-step explanation:
88 + 91 + 93 + 86 = 358
90*5 = 450
therefore the fifth test has to be 450 - 358 = 92
A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
Rate in still water = 48 mph.
Rate of current = 14 mph.
Step-by-step explanation:
Let the rate in still water be x and rate of the current be y miles per hour.
Upstream:
x - y = 102/3
Downstream:
x + y = 186/3
Adding the 2 equations
2x = 102/3 + 186/3 = 34 + 62
2x = 96
x = 48 mph.
So 48 - y = 34
y = 48 - 34 = 14 mph.
Pleas hlp am going to fail here are the options
Answer:
10+2b
Step-by-step explanation:
do 2(b+3)
2xb + 2x3
2b+6
4+(2b+6)
10+2b
hope that helped
HELP ILL GIVE YOU BRAINLIEST AND A FOLLOW
what does x=?
Answer:
#1: x=8, #2: x=21, #3: x=9
Step-by-step explanation:
So, to solve each of these x's, we need to do two things:
Find the scale factor
Then scale for x.
So lets start off with the first one.
We have a side value fo 3.
In the scaled version, we have the same side with a value of 6.
To find the scale, divide the 6 by 3:
6/3
=
2
So our scale is 2.
Next, lets look at our value on the traingle we know, and solve for the unkown x. We know that on the orginal traingle, its 4. For the version thats 2 times bigger, its x
So to solve this, multiply the 4 by 2:
4*2
=
8
This is your x value for the first question.
Next we have the side value 12 for the trapezoid. For the one next to it, the trapezoid has the same side with a value of 18.
To find the scale, lets divide 18 by 12.
18/12
=
1.5
That is our scale factor.
In these trapezoids, the bottom value is orginally 14.
In the scaled version, which we know is 1.5 times bigger, we have x.
To solve for x, lets multiply the 14 by 1,5:
14*1.5
=
21
So we know our x is 21 for the second answer.
Finally we have the third question.
This one is opposite to the last ones, where the smaller value has the missing x value.
Here our top side value is 20.
On the scaled version it is 15.
Lets divide 15 by 20, instead of what we normally do. Which would have been 20 by 15:
15/20
=
.75
Now, with this scale factor, our x will be smaller than the known value. Looking at the side length, the orginal value is 12.
On the scaled side length that is 0.75 times as big, its x
So lets multiply 12 by 0.75:
12*0.75
=
9
So this is your last x value, for your third answer!
This might seem long and tedious, but its actually a simple way of thinking about it, and you may find that you can quickly do this in your head, instead of a shorter, more complex way.
Hope this helps!
another khan academy pls
Answer:
89
Step-by-step explanation:
3 consecutive numbers can be:
[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)
The sum is all of them added, so
[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]
90 is the middle number though, so the first number is 89
Answer:
88, 90, 92
Step-by-step explanation:
I hop this is right can you pls answer this question khan academy.
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.
What is the perimeter of rectangle ABCDABCDA, B, C, D?
units
Thank you
Can someone help me please?
9515 1404 393
Answer:
10 inches
Step-by-step explanation:
Use the formula for the area of a trapezoid. Fill in the given information and solve for the unknown.
A = 1/2(b1 +b2)h
50 in² = (1/2)(3 in +7 in)h
50 in²/(5 in) = h . . . . . . . . . . divide by the coefficient of h
10 in = h
The height of the trapezoid is 10 inches.
Similar Triangles
A cell phone tower in a field casts a shadow of 100ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)
a. 145 ft
b. 76 ft
c. 100 ft
d. 135 ft
Please select the best answer from the choices provided
Answer:
D. 135 ft
Step-by-step explanation:
I calculated it logically
large pies cost $5 and small pots cost $2. If $45 pies were sold for $120 how many small pies were sold
Answer:
I'm assuming that's supposed to just be 45, not $45
Step-by-step explanation:
35 small pies were sold
10 large pies = $50
35 small pies = $70
50 + 70 = 120
if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c
Answer:
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + c[/tex]
In which m is the slope and c is the y-intercept(value of y when x = 0).
A(2;2) and B(-3;4)
When we have two points, the slope is the change in y divided by the change in x. So
Change in y: 4 - 2 = 2
Change in x: -3 - 2 = -5
Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + c[/tex]
A(2;2)
When [tex]x = 2, y = 2[/tex]. We use this to find c.
[tex]y = -\frac{2}{5}x + c[/tex]
[tex]2 = -\frac{2}{5}(2) + c[/tex]
[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]
So
[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]
A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?
Ling's elementary school principal wants to hire some new teachers. 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job. There is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job. How many different ways can Ling's principal hire new teachers?
Answer:
Ling's principal can hire new teachers in 54 different ways.
Step-by-step explanation:
Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:
6 x 3 x 3 = X
18 x 3 = X
54 = X
Therefore, Ling's principal can hire new teachers in 54 different ways.
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
243 ft^3
Step-by-step explanation:
The volume of a triangular prism is the triangular base times the height.
To get the area of the triangle, multiply the base time height and divide by 2.
9*6/2=27
Now multiply by the height
27*9=243
Answer: 243 ft^3
Answer:
243ft^3
Step-by-step explanation:
2.- Un campesino guarda un doceavo de su trigo cosechado para semilla, un sexto de la misma
cosecha lo convierte en harina y vende 288 kilos. ¿Cuántos kilogramos de trigo cosechó?
What is the following quotient?
6square + 11square divided by
5square +3 square
Can someone answer this for me
Answer:
A
Step-by-step explanation:
Only a can be the answer
Answer:
A
Step-by-step explanation:
it's the only one that seems right
One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+ r)
How much money would you have in an account after 15 years if you earned 9,3% annually and you started with R573,00?
Given:
Principal = R573.00
Rate of interest = 9.3% annually
Time = 15 years.
To find:
The amount after 15 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.
The interest is compounded annually, so n=1.
Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get
[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]
[tex]A=573\left(1+0.093\right)^{15}[/tex]
[tex]A=573\left(1.093\right)^{15}[/tex]
[tex]A=2174.98893[/tex]
[tex]A\approx 2174.99[/tex]
Therefore, the amount in the account after 15 years is about R2174.99.
.Please help with question 21
Answer:
y=500x+20000
Step-by-step explanation:
the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side
Answer:
5
Step-by-step explanation:
A 30-60-90 triangle's sides equal as follows:
Hypotanuse= x (a number)
Long side= x/2( also can be calculated as x* 1/2) * [tex]\sqrt{3}[/tex]
Short side = x/2 or x * 1/2
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a number of games
What is the surface area?
4 ft
4 ft
4 ft
The surface area of what shape exactly?
Answer:
Hello! answer: 96Step-by-step explanation:
I'm assumung this is a cube sense cubes will equal the same for all 6 sides we just have to find 1 side then just multiply by 6 to get the answer easy peasy!!! so 4 × 4 = 16 and 16 × 6 = 96 so 96 is our surface area Hope that helps!
f(x) = 2x3 – 3x2 + 5
g(x) = 3x3 + 2x2 – 4x – 9
Find (f - g)(x).
A smaller box of cereal is $2.89 for 14.5 oz. The family size is $4.99
for 30 oz. Which is the better deal? explain.
Answer:
the better deal will be the family size for $4.99 and 30oz, because the family box come with 30oz per box and with that many oz it can be shared by the family depending on how much cereal they they get.
Step-by-step explanation:
Chapter 6 Introduction to Variables and Evaluating Expression
Mathematics, Algebra 1
Question 1
Simplify: -2s - 9+7 - 5r use s = 3 and r= -8
What are the zeros of the function f(x) = (x + 5)(2x-3)?
O A. x=-5 and x = 8
O B. x = -5 and x = 4
O C. x = 5 and x = -8
O D. x = 5 and x = -4
find the volume of the pyramid 6ft 6ft 4ft
Answer:
48 ft³
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex]
6 · 6 · 4
144 ÷ 3
48
Answer:
48ft cubed
Step-by-step explanation:
Multiply the numbers then use cubed because your working with volume.
given the degree of measure of angle KJH is 66 degrees find the measure in radians
9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
__
11/30 = 0.366... repeating, so would normally be rounded to 0.367
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications. Find the lower confidence limit (LCL) for a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. Round your answer to two decimal places.
Answer:
The LCL for a 90% confidence interval for p is 0.82.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.
6+2(3x4) divide 2 + 3-4
Step-by-step explanation:
hope it is helpful to you