Answer:
The number is 0.75
Step-by-step explanation:
Analyze the question one statement at a time:
Let the number be [tex]x[/tex]
Subtract 2; [tex]x - 2[/tex]
Multiply by 5: [tex](x - 2) * 5[/tex]
The result equals [tex]x - 7[/tex]
Required
Find the number (x)
The equation to work with is:
[tex](x - 2) * 5 = x - 7[/tex]
Open bracket
[tex]5x - 10 = x - 7[/tex]
Collect like terms
[tex]5x - x = 10 - 7[/tex]
[tex]4x = 3[/tex]
Divide both sides by 4
[tex]x = \frac{3}{4}[/tex]
[tex]x = 0.75[/tex]
I need some help please What's |5| + |–7|?
Answer:
hello there![tex]\left|5\right|+\left|-7\right|[/tex]
[tex]rule =a,\:a\ge 0[/tex]
[tex]|5|=5[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]
[tex]\left|-7\right|=7[/tex]
[tex]5+7=[/tex]
[tex]12[/tex]
hope this helps you..
359
110"
350
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angle x?
i think the answer is 35° because the triangles are congruent to each other
5. The volume of a rectangular prism is 2058 cm3. The length is three times
the width. The height is twice the width. Find the width, length and height of the prism.
a. L- 18 cm, W-6 cm, H- 12 cm
c. L-20 cm, W-6 cm, H-12 cm
b. L- 21 cm, W- 7 cm, H- 14 cm
d. L- 22 cm, W-8 cm, H- 15 cm
Answer:
c
Step-by-step explanation:
The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 15 years old. If the average age of the children is 12.75 , how old is the youngest child?
Answer:
8 years old
Step-by-step explanation:
oldest= 16
8+12+15+16= 51
51/4 = 12.73 ( average)
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answer:
190 ft^2
Step-by-step explanation:
So first we need to find which equation we're using and since it's a rectangular prism we're going to use:
2Lw + 2wh + 2Lh
Now what we need to do is plug in the values
2*9*2 + 2*2*7 + 2*9*7
Now just multiply everything and then add it together.
36 + 28 + 126
Once you add everything together you get:
190
The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)
If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:
190 ft^2
Please help also due in morning THE WHOLE PAGE. 50 points for right now
FAST HELP PLEASE
A Square weighs 7 grams and a Triangle weighs 8 grams. How much does a Circle weight
Answer:
69420
Step-by-step explanation:
6
Select the correct answer.
Using synthetic division, what is the factored form of this polynomial?
x^4+ 6x^3 + 33x^2 + 150x + 200
Answer:
(x + 2) (x +4) (x^2 + 25)
Step-by-step explanation:
Just did this problem
( + 2 ) ( ^3 + 4 ^2 + 2 5 + 1 0 0 )
( + 2 ) ( + 4 ) ( ^2 + 2 5 )
A factor is a number that completely divides another number. The factored form of the polynomial is (x² + 25 )(x + 2 )(x + 4 ).
What are factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
The given expression can be factorized using the steps as shown below. Therefore, we can write the steps as,
Rewrite for factoring : ([tex]x^{2}[/tex] + 33[tex]x^{2}[/tex] + 200) + 6[tex]x^{3}[/tex] + 150[tex]x^{}[/tex]
Rewrite the term: x⁴ + 8x² + 25x² + 200 + 6x³+ 150x
Regroup terms into two proportional parts: (x⁴ + 8x²) + (25x² + 200) + 6x³ 150x
Factor Greatest Common Factors out: x²(x² + 8 ) + 25(x² + 8) + 6x³ +150x
Factor Greatest Common Factors out:
(x² + 8 )(x² +25 ) + (6x³ + 150 )
Rewrite the term: (x² +25 )(x² + 2x + 4x + 8)
Regroup terms into two proportional parts: (x² + 25 ){(x + 2x ) + (4x +8)}
Factor Greatest Common Factors out: ( x² + 25 ){(x(x + 2) + 4(x + 2)}
Factor Greatest Common Factors out: (x² + 25 )(x + 2)(x + 4)
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
A sample of 26 elements from a normally distributed population is selected. The sample mean is 10 with a standard deviation of 4. The 95% confidence interval for μ is _____. a. 6.000 to 14.000 b. 8.384 to 11.616 c. 8.462 to 11.538 d. 9.846 to 10.154
Answer:
B. 8.384 to 11.616
Step-by-step explanation:
We have
mean = 10
s = 4
n = 26
the degrees of freedom = n-1
= 26 - 1 = 25
α = 1-95%
= 1 - 0.95
= 0.05
α/2 = 0.05/2 = 0.025
using the t table
t0.025, 25 = 2.06
we find the margin of error
t * s/√n
= 2.06 * 4/√26
= 1.616
10-1.616 < μ < 10+1.616
= 8.384<μ<11.616
therefore option b is the right solution
PLS HELP ASAP, THANK YOU
PS. WILL MARK BRAINLIEST
i am so sorry me dont know
Answer:
Answer: Composite figure: 360 ft3
Explanation:
The volume of the triangular prism:
The base area of the prism = 1/2 x 4 x 6 = 12 ft2
Height = 6 ft
The volume of the triangular prism = 12 x 6 = 72 ft3
The volume of the rectangular prism:
The base area of the prism = 4 x 6 = 24 ft2
Height = 12 ft
The volume of the triangular prism = 12 x 24 = 288 ft3
Volume of the composite figure = (288 + 72)ft3 = 360 ft3
Step-by-step explanation:
Look at the cone above. If r = 4 cm and h = 4 cm, what is the volume of the cone? (Assume = 3.14) A. 64 cm3 B. 66.99 cm3 C. 64 cm2 D. 100.53 cm3
Answer:
66.99 cm³
Step-by-step explanation:
the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3
= 66.99 cm³
How can I solve?
Solve for x (hint - use the quadratic formula)
Young people often find that playing video games, watching TV, and instant messaging friends can be very relaxing, and can help to alleviate stress in their lives. Apparently, though, it isn't relaxing enough. In a survey of teens at a local high school in Oregon, 42% of them said they need a vacation. Calculate the probability. The probability that a student in this survey says something other than that he or she needs a vacation is
Answer:
The probability that a student in this survey says something other than that he or she needs a vacation is:
= 58%.
Step-by-step explanation:
The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,
Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).
Probability calculates the frequency of the occurrences of an event.
A train leaves at 15:43 and arrives at 17:13. It travelled at an average speed of 75 km/h.
How far did it travel? Give your answer in km to 1DP.
Can anyone answer this
Answer:
Distance cover by train = 112.5 km
Step-by-step explanation:
Given;
Speed of train = 75 km/h
Time started = 15:43 min
Time ended = 17:13 min
Find:
Distance cover by train
Computation:
Time started = 15:43 min = 15.716 hour
Time ended = 17:13 min = 17.216 hour
Total time taken = 17.216 - 15.716
Total time taken = 1.5 hour
Distance cover by train = Total time taken x Speed of train
Distance cover by train = 75 x 1.5
Distance cover by train = 112.5 km
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?
Answer:
1
Step-by-step explanation:
12 - 2 + 3 = 13
13 - 12 = 1
Answer:
-1
Step-by-step explanation:
she must walk down 1 flight of stairs
Does anyone know how to solve this equation?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the formula ...
P = I/(rt)
and the values I = 20, r = 0.05, t = 5.
Put the numbers in place of the corresponding variables and do the arithmetic.
P = 20/(0.05·5) = 20/0.25 = 80
The amount $80 will generate $20 in interest over 5 years at 5% per year.
The pressure resulting from a force of 50 N exerted over an area of 5 m2 is (2
marks)
Answer:
[tex]pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} [/tex]
decide whether each expression is equal to 6 x 3/4. Write an X in the table to respond.
Answer:
6 × ¼ is NOT EQUAL TO 6 × ¾
8 × ²/4 is NOT EQUAL TO 6 × ¾
18/(2 × 2) is EQUAL TO 6 × ¾
Step-by-step explanation:
Given 6 * ¾,
We're asked to determine if each of the given expressions is equal or not equal to 6 * ¾.
Let's evaluate 6 * ¾
6 × ¾ = (6×3)/4 = 18/4 = 4.5
Now, let's compare each expression given to determine if it is equal or not
✔️6 × ¼ = (6×1)/4 = 6/4 = 1.5
Therefore,
6 × ¼ is NOT EQUAL TO 6 × ¾
✔️8 × ²/4 = (8×2)/4 = 16/4 = 4
Therefore,
8 × ²/4 is NOT EQUAL TO 6 × ¾
✔️18/(2 × 2) = 18/4 = 4.5
Therefore,
18/(2 × 2) is EQUAL TO 6 × ¾
What is the slope of a line perpendicular to the line y=2x+5 ?What is the slope of a line perpendicular to the line y=2x+5 ?
1/2
−2
2
−1/2
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
Hi there!
In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.
Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.
Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].
Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].
Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].
I hope this helps!
In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x
+1. What are the exact measures of the angles?
N
A. m2 MOP= 62
m2 NOP = 62
B. m2 MOP = 61
m 2 NOP = 61
C. m MOP = 48
m2 NOP = 72
D. m2 MOP = 122
m 2 NOP = 122
Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°
Find the value of x in these Complementary Angles
Answer:
Aids
Step-by-step explanation:
AIDS is what ur mom has
Answer:
[tex]x=53\\[/tex]
Step-by-step explanation:
Together they make 90 degrees,
Now, form an equation to solve:
[tex]x+37=90[/tex]
[tex]x=90-37[/tex]
[tex]x=53[/tex]
{CHECK: [tex]53+37=90[/tex]}
hope this helps.....
Give the values of A, B, and C needed to write the equation's general form.
(5 + x)(5 - x) = 7
1. A = 1; B = 0; C = -18
2. A= -1; B = 0; C = 25
3. A = 25; B = 0; C = -1
Given:
The equation is:
[tex](5+x)(5-x)=7[/tex]
To find:
The value of A, B and C for the equation's general form.
Solution:
We have,
[tex](5+x)(5-x)=7[/tex]
Using distribution property, we get
[tex](5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7[/tex]
[tex]25-5x+5x-x^2=7[/tex]
[tex]25-x^2=7[/tex]
Taking all terms on one side, we get
[tex]25-x^2-7=0[/tex]
[tex]-x^2+18=0[/tex]
[tex]-(x^2-18)=0[/tex]
[tex]x^2-18=0[/tex]
On comparing this equation with the general form of a quadratic equation [tex]Ax^2+Bx+C=0[/tex], we get
[tex]A=1[/tex]
[tex]B=0[/tex]
[tex]C=-18[/tex]
Therefore, the correct option is 1.
US
Find the circumference of this circle
using 3 for 7
C [?]
1
C = 27
Answer:
[tex]6.283185307[/tex]
Step-by-step explanation:
[tex]Formula - C = 2\pi r[/tex]
[tex]Formula = 2*\pi*1 = 6.283185307[/tex]
Answer:
C≈6
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=1 thus substitute:
[tex] \displaystyle C = 2\pi .1[/tex]
simplify mutilation:
[tex] \displaystyle C = 2\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 2.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 6[/tex]
and we are done!
f(x) = 3 - 2x and g(x) =
1/X+5 what is the value of
(f/g)(8)
9514 1404 393
Answer:
(f/g)(8) = -104/41
Step-by-step explanation:
Fill in the value for x and do the arithmetic.
f(8) = 3 -2·8 = 3 -16 = -13
g(8) = 1/8 +5 = (1+40)/8 = 41/8
Then the ratio is ...
(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41
(f/g)(8) = -104/41
A two-way frequency table is shown below that displays the relationship between the region of the country in which people live and the type of music preferred. We took a sample of 193 people and recorded the following results: Country Music Rock Total West 26 15 41 East 24 22 46 South 7 33 40 North 41 25 66 Total 98 95 193 What is the probability (rounded to the nearest whole percent) that a randomly selected person is from the western region of the country if he or she prefers country music? (
Answer:
13%
Step-by-step explanation:
Given the two way frequency table :
Country Music Rock Total
West 26 15 41
East 24 22 46
South 7 33 40
North 41 25 66
Total 98 95 193
From. The table :
n(West n Country music) = 26
n(Total) = 193
P(West n Country music) = n(West n Country music) / n(Total)
P(West n Country music) = 26 / 193
= 0.1347
= 13.47%
= 13%
If y(x)=-4x - 5 and x(t)=t^2+ 2t , find y(x(t)).
9514 1404 393
Answer:
y(x(t)) = -4t^2 -8t -5
Step-by-step explanation:
Fill in the argument value and simplify.
y(x(t)) = y(t^2 +2t) = -4(t^2 +2t) -5
y(x(t)) = -4t^2 -8t -5
Find the average of -8, -1, and 3
Im doing a test pls help quick!
Answer:
-2
Step-by-step explanation:
To find the mean, add all of the values together. With that sum, divide it by the amount of addends/values. In this case 3.
-8 + -1 + 3 = -6
-6/3= -2
hope this helps :D
Can someone please help, ty!!
Will mark brainliest!
Answer:
Hello answer: x = 5
Step-by-step explanation:
The pictures a bit blurry but if I read correctly the answer is 5
Hope that helps!
Helppppp ASAPPPPPP TST FULL CREDIT
Answer:
24.
[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]
25.
[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]
26.
[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]
Solve the inequality. k - 3 < 5
Answer and Step-by-step explanation:
To solve the inequality, we have to get k by itself.
Add 3 to both sides of the inequality.
k < 8 is the answer.
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