Answer:
90
Step-by-step explanation:
81/x=90/100
8100=90x
90=x
The total number of problems given in exam was 90.
PercentageWhat is percentage?Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.
How to calculate percentage?Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.
Calculation for the total number of question given:A student correctly answered 81 problems.
Grade received by student is 90%
Let the total number of question given in the test be 'x'.
Thus,
90% of x = 81
(90/100)x = 81
x = (81×100)/90
x = 90
Therefore, the total number of question allotted to the student is 90.
To know more about how to conver percent to fraction?, here
https://brainly.com/question/317717
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If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
(f - g)(x) = 2x - 3
Step-by-step explanation:
(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.
Hence, we can define it as:
(3x - 1) - (x + 2)
= 3x - x - 1 - 2
= 2x - 3
Therefore, (f - g)(x) = 2x - 3.
Hope this helped!
Congruent triangle proofs
Answer:
SSS (Side Side Side)
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
SAS (Side-Angle-Side)
A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.
please look at photo and answer which one
Answer:
B
Step-by-step explanation:
please help 8th grade math
Answer:
I'm in the 8th grade and I could probably help you out
Step-by-step explanation:
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic meter,find the dimensions of the box.
Answer:
Length = 12
Width = 8
Height = 4
Step-by-step explanation:
Let length of box = l
Width = 2/3 * l
Height = 1/3 * l
Volume of the box = 384 ft³
Volume = Length * width * height
Volume of box = l * 2/3 l * 1/3 l
384 = 2l³ / 9
384 * 9 = 2l³
3456 = 2l³
l³ = 3456 / 2
l³ = 1728
Take the Cube root of 1728
l = 12
Length = 12
Width = 2/3 * 12 = 8
Height = 1/3 * 12 = 4
Help please!! I’ll give brainliest
Answer:
[tex]\boxed{f(n) = 4n + 16 }[/tex]
.
Step-by-step explanation:
We know that it is arithmatic squence
with a = 20 and b = 4
.
So
[tex]Un = a + (n - 1)b[/tex]
[tex]Un = 20 + (n - 1)4[/tex]
[tex]Un = 20 + 4n - 4[/tex]
[tex]Un = 4n + 16[/tex]
.
Happy to help :)
Cara measured 8 2/3 yards of cloth she the cut it into 4 equal pieces. what was the length of each piece of cloth?
Answer:
2.16
Step-by-step explanation:
8 2/3 / 4 or 8.166/4
= 2.16 (don't round up because they all have to be equal)
Can some on check over my work pls
Not exactly correct.
y=mx+b Slope is m and y intercept is b.
So, here count the units for the slope. it goes barley to the 7th box. Now, count the units for the y intercept. It goes to the fourth box.
Thus, your equation is y=7x+4
[tex]\underline{Hope\;it\;helps\;out!}[/tex]
A scientist add drops of liquid to a test tube. Each drop contains o.14mL. After 6 drops how much liquid has the scientist added?
Answer:
We conclude that after 6 drops how much liquid the scientist has added 0.84 mL.
Step-by-step explanation:
Given that the scientist adds drops of liquid to a test tube.
The amount of liquid in 1 drop = 0.14 mLIn order to determine the amount of liquid after 6 drops, all we need is to multiply 0.14 mL by 6.
i.e.
The amount of liquid in 6 drops = 0.14 × 6
= 0.84 mL
Therefore, we conclude that after 6 drops how much liquid the scientist has added 0.84 mL.
Umm, can somebody help me?
Answer:
the answer is 18.
Step-by-step explanation:
45.15 ÷ 21 what is the answer
in the image shown, line n is a transversal cutting parallel lines l and m.
Answer:
hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps
Answer:
choice b
Step-by-step explanation:
you buy 11 bagels with a 20$ bill how m if change do you receive? how many bagels could you buy?
1. What type of solutions would we get from the quadratic equation
f (x)= 3x2 + 8x + 2?
Answer:
Double root / x = -3
Step-by-step explanation:
lin tried to reflect triangle ABC across line t. She knows somthing is wrong because the image isnt congruent to the original figure in the end result
1: what is one idea that lin probably understands about reflections?
2:what is one idea that lin doesnt understand about reflections?
3:Reflect triangle ABC correctly
Answer:
it is the repition image of something, how its made, i dont know the last one.
Step-by-step explanation:
Could someone help me with these problems ?
Answer:
Step-by-step explanation:
1. is 10
4. is 6
6. is $3.19
7. is $6
Solve for X!! I’ll give BRAINLIEST
Answer:
x = 75
Step-by-step explanation:
1. Find the inner angle (opposite from where x is), using the outer angle of 150.
Note: these two angles are supplementary, meaning that they add up to 180 degrees.
Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.
2. Find the other two angles to get x.
The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.
With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.
2x + 30 = 180 (Subtract 30 from both sides)
2x = 150 (divide by 2)
x = 75
3. x = 75
Answer:
X = 65 degrees
Step-by-step explanation:
180 - 150 = 30 the angle beside the 150 degrees
180 - 30 = 130 180 degrees is the sum of all three angles in a triangle
130/2 = 65 since both sides are equal the other 2 angles are the same
g In an experiment, 37 randomly selected drivers drove from Pontiac to Detroit at random times. The travel time for these drivers was 39.0 minutes on average with a standard deviation of 4.8 minutes. Calculate and interpret a 99.9% confidence interval for the mean travel time for all possible drivers traveling from Pontiac to Detroit.
Answer:
CI = ( 36,6 ; 41,4 )
Step-by-step explanation:
CI = 99,9 % α = 0,1 % α = 0,001
We find z scre for α = 0,001 in z -table
z(s) = - 3,08
CI = μ₀ ± MOE where μ₀ = 39 min and MOE = z(s) * σ/√n
CI = 39 ± 3,08 * 4,8 / √37
CI = 39 ± 2,4315
CI = ( 36,6 ; 41,4 )
find the inverse with respect to addition of -6
Given:
The number is -6.
To find:
The inverse with respect to addition of the given number.
Solution:
We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.
We know that, the sum of a number and its additive inverse is 0.
Let the additive inverse of -6 be x. Then,
[tex]-6+x=0[/tex]
Adding 6 on both sides, we get
[tex]-6+x+6=0+6[/tex]
[tex]x=6[/tex]
Therefore, the inverse with respect to addition of -6 is 6.
Help me with this please
Answer:
(a) Only A and B
Blake drives 448 miles on 16 gallons. How many miles does Blake drive on one gallon?
Answer:
28
Step-by-step explanation:
i just divided 448 and 16 and got that, om on that same question
here is how to divide that so you know on your own
Step 1:
Start by setting it up with the divisor 16 on the left side and the dividend 448 on the right side like this:
1 6 ⟌ 4 4 8
Step 2:
The divisor (16) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
1 6 ⟌ 4 4 8
Step 3:
Multiply the divisor by the result in the previous step (16 x 0 = 0) and write that answer below the dividend.
0
1 6 ⟌ 4 4 8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
1 6 ⟌ 4 4 8
- 0
4
Step 5:
Move down the 2nd digit of the dividend (4) like this:
0
1 6 ⟌ 4 4 8
- 0
4 4
Step 6:
The divisor (16) goes into the bottom number (44), 2 time(s). Therefore, put 2 on top:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
Step 7:
Multiply the divisor by the result in the previous step (16 x 2 = 32) and write that answer at the bottom:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
3 2
Step 8:
Subtract the result in the previous step from the number written above it. (44 - 32 = 12) and write the answer at the bottom.
0 2
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2
Step 9:
Move down the last digit of the dividend (8) like this:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
Step 10:
The divisor (16) goes into the bottom number (128), 8 time(s). Therefore put 8 on top:
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
Step 11:
Multiply the divisor by the result in the previous step (16 x 8 = 128) and write the answer at the bottom:
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
1 2 8
Step 12:
Subtract the result in the previous step from the number written above it. (128 - 128 = 0) and write the answer at the bottom.
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
- 1 2 8
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 448 divided by 16 calculated using Long Division is:
28
0 Remaind
5x = 1/125
What is X
Answer:
x= 1/25
Step-by-step explanation:
Which graph is defined by the function given below?
y= (x+3)(x +3)
-10
-10+
10-
A
B.
C
D.
Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2220 and his stock in Company B was worth $3100. The stock in Company A has increased 25% since last year and the stock in Company B has increased 7%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
The total percentage increase in the investor's stock account is 14.5%.
What is the percentage?The percentage refers to the portion or ratio of a variable concerning another.
Like ratios, percentages are stated with the percentage sign (%). We also use percentages to show proportions.
For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.
Whereas the dollar increase is $772, in percentage terms, it is 14.5%.
Data and Calculations:Company A Company B Total
Investments $2,220 $3,100 $5,320
Increase in value 25% 7%
Dollar increase $555 $217 $772
Total percentage increase = 14.51 % ($772/$5,320 x 100)
Thus, the total percentage increase in the investor's stock account is 14.5%.
Learn more about percentages at brainly.com/answer expert verified
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3. Last year 858 people attended the Middleton County Fair. This year 1,635 people attended. What was the percent increase from last year to this year? (Round to the nearest percent)
A.90%
B.91%
C.47%
D.48%
Answer: 47?
Step-by-step explanation:
At soccer practice on Saturday morning, Liz's team practiced dribbling for 45 minutes and practiced shooting for 15 minutes. Then, they played a scrimmage game for 45 minutes before practice ended at 9:30 A.M. What time did Liz's soccer practice start?
Please help me fast!!!
Answer:
7:45 AM I believe:)
Step-by-step explanation:
Ashley has sold 20% of candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell???
Answer:
Step-by-step explanation:
She has 80% of the total amount she had before she sold any. Can't solve any further for you, unless you provide me the number sold or the amount she had before she sold them.
Answer:
no
Step-by-step explanation:
Prove that log(3) 7 is an irrational number
Answer:
Proof below
Step-by-step explanation:
Irrational and Rational Numbers
We need to use the basic property of logarithms:
[tex]log_b\ a=x\ \ \Rightarrow b^x=a[/tex]
We are given:
[tex]log_3\ 7[/tex]
And we will prove it's an irrational number, i.e., it's not a rational number.
Recall a rational number can always be expressed as a fraction a/b, where a and b are integer numbers. Thus, if the expression was a rational number, then:
[tex]\displaystyle log_3\ 7=\frac{a}{b}[/tex]
Applying the property:
[tex]\displaystyle 3^{\frac{a}{b}}=7[/tex]
Raising to the power of b:
[tex]3^a=7^b[/tex]
It's not possible to find two integers a and b that satisfy the condition above. That contradiction comes from the assumption that [tex]log_3\ 7[/tex] is rational, thus, it's proven [tex]log_3\ 7[/tex] is irrational.
Amelia fills a bucket with 3.5 gallons of water. A gallon of water is approximately 8.34 pounds. What is the weigh, in pounds, of the bucket?
Answer:hehdjjdjfhrjrg
Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr
Iftwo-thirdofa number increased by 10isequal to14,find the number
(यदि एउटा संख्याको दुई-तिहाई दशले बढाउँदा १४ बराबर हुन्छ भने त्यो संख्या
पत्ता लगाउनुहोस् ।)
Answer:
The number is 6.
Step-by-step explanation:
Let the number be x then,
By the question,
2/3 * x + 10 = 14
2x / 3 = 14 - 10
2x / 3 = 4
Cross multiply ✖
2x = 12
x = 12/2
x = 6
Hope it helps. :)