The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3
How to write and solve equation?let
x = unknown number
2x + 1 = 4 + x
collect like terms2x - x = 4 - 1
solve
x = 3
Therefore, the unknown number is 3
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Answer:
Step-by-step explanation:
This is a quadrilateral.
Sum of all angles of a quadrilateral = 360
x + 100 + 60 + 95 = 360
x + 255 = 360
x = 360 - 255
x = 105°
Answer:
Angle X= 105 Degrees
Step-by-step explanation:
1. Create Equation
100+60+95+x=360
2. Solve
100+60+95+x=360
160+95+x=360
255+x=360
255-255+x=360-255
x=105
3. Check
100+60+95+105=360
160+95+105=360
255+105=360
360=360
Correct!
4. Answer
x=105
Roberto’s science grade is calculated using a weighted average quizzes are worth 25% homework is worth 10% unit tests are worth 30% and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit test, and 94% on his labs. What is Roberto’s final science grade?
93.3%
93.9%
94.8%
95.3%
Answer:
the answer should be 93.9% let know if in wrong
Roberto's science grade as per weighted average is equals to 93.9%.
What is average?
" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."
Formula used
Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n
W= weighted average
n = number of terms to be averaged
w = weight applied to x values
x = data values to be averaged
According to the question,
Given,
Weight applied to quiz 'w₁' = 25%
Weight applied to homework 'w₂' = 10%
Weight applied to to unit tests 'w₃'= 30%
Weight applied to labs 'w₄' = 35%
Average on quiz Roberto earned 'x₁'= 94%
Average on homework Roberto earned 'x₂'= 94%
Average on unit test Roberto earned 'x₃'= 94%
Average on labs Roberto earned 'x₄' = 94%
Substitute the values in the formula we get,
Weighted average
= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)
= (2350 +990 + 2760 + 3290) / 100
= 9390 / 100
=93.9%
Hence, Roberto's science grade as per weighted average is equals to 93.9%.
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- Critique Reasoning Tanya recorded the ages
of 10 local babysitters: 20, 16, 18, 13, 14, 13,
12, 16, 22, 18. She says that the box plot below
shows the distribution of ages. What error did
she make?
Babysitters
HHHHHH
12
14
10
16
18
20
22
24
Age in Years
The error made by Tnaya in constructing the box plot is the first quartile and third quartile depicited is wrong.
What is a box plot?
A box plot is used to study the distribution and level of a set of data. The box plot consists of two lines known as whiskers and a box. The first whisker represents the minimum value and the last whisker represents the maximum value.
On the box, the first line to the left represents the first quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the third quartile. 75% of the scores represents the third quartile.
For the data given, the:
Minimum value = 12 Maximum value = 22Median = 16 First quartile = 11/4 = 2.75 = 13 Third quartile = 3/4 x 11 = 8.25 = 23To learn more about median, please check: https://brainly.com/question/20434777
For this question, you must solve for x.
Answer:
22
Step-by-step explanation:
3x = x+44(base angle of isosceles triangle are equal)
2x = 44
x = 22
Find the volume of the composite shape. And round to the nearest tenth.
Answer:
2010
Step-by-step explanation:
volume of a cube= hxlxw
5x5x5=125
V=πr2h
π10^2x6=1884.9=1885
1885+125=2010
The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
choices:
a.
$5.98
b.
$6.00
c.
$5.67
d.
$6.30
Answer:
Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
1 answer
·
1 vote:
$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)
Missing: choices: $5.98 $6.00 c. $5.67 d. $6.30
Step-by-step explanation:
The lowest price you can charge is $6.30
How to determine the cost?We have:
Skillet brownie = $1.89Percentage of food cost = 30% or lowerThe lowest price you can charge is calculated as:
Lowest = Skillet brownie/Percentage
This gives
Lowest = $1.89/30%
Evaluate
Lowest = $6.30
Hence, the lowest price you can charge is $6.30
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tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?
Answer:
.72p
Step-by-step explanation:
1p equals the original price
100 percent of p
we are reducing it by 28 percent, which means only 72 percent of p will remain
72 percent or .72
.72p
Help help help ASAP sap
Answer:
132
Step-by-step explanation:
since they are 180 degrees subtract
Answer:
132
Step-by-step explanation:
since this is a 180 degree angle ABC will be
180-48
132
If 6/10 is multiplied by a fraction less than one what will be the product?
Answer:
If 6/10 is multiple by a fraction less then one the product would be 1/2
Step-by-step explanation:
6/10 is also equal to 0.6
If 0.6 is multipled by something less then one the product would not be able to be greater then 6/10
Resulting in 1/2 being the product.
Answer: All you gotta do is multiply 6x10 and then u get 60 so the product of of 6/10 is 60
find x correct to 2 decimal places
Answer:
Step-by-step explanation:
The value of x in the triangle is 205.24 calculated by using tan function.
By using tan function we find the value of x.
Let us divide x to two parts which includes two right triangles.
We know than tan function is a ratio of opposite side and adjacent side.
tan 55 = 106/adj
adj= 106/1.428
adj=74.22
Now let us find the adjacent side length of larger triangle similarly.
tan 39 = 106/ adj
0.809 = 106/adj
adj=106/0.809
adj=131.025
So the value of x is 74.22+131.025
=205.245
Hence, the value of x in the triangle is 205.24.
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Find the mean of the data.
55,64,58,43,49,67
Answer:
56
Step-by-step explanation:
Step 1: Order the data
43,49,55,58,64,67
Step 2: Count all numbers and add them up
43+49+55+58+64+67=336 and we have 6 numbers in total so... 336 ÷ 6
Step 3: Divide!
336 ÷ 6 = 56
Hope this helps you!
Solve: 101x-99y=103
-99x+101y=-97
Answer:
[tex]x=2; y=1[/tex]
Step-by-step explanation:
Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.
[tex]I+II: 2x+2y=6\\I-II:200x-200y=200[/tex]
Better, now let's simplify the expression and let's use the new system
[tex]x+y=3\\x-y=1[/tex]
Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get [tex]x=2, y=1[/tex] which, if you check by replacing in the original, is indeed a valid solution.
The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green? Result Frequency Blue 7 Red 9 Green 6 Yellow 8
Answer: 10
Step-by-step explanation:
hope this helps
show all working convert the following improper fractions to mixed numbers in it's lowest terms. 96/7?
Answer:
13 5/7
Step-by-step explanation:
7 can fit into 96 13 times, So 96-(7x13) is 5. 5/7 is remaining.
How to illistrate 1/3×1/2
Answer:
=1/6
Step-by-step explanation:
thats the answer
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Find the output, y, when the input, z, is 6.
8+
6+
4+
A
H
.
4
-2
2
4
6
6
8
-2-
-4+
-6-1
87
Report a problem
Answer:
when the x input is 6 the y output is 7
Farah has been saving money for years. Pearl's money is 3 times as much as
3
5
of Farah's money. They have $672 altogether. How much does Farah have now?
Answer:
$168
Step-by-step explanation:
x + 3x = 672
4x = 672
x = 672 / 4
x = 168
Farah has $168
Find the volume of a box that has a length of 8.9 cm, a
width of 4 cm, and a height of 10.6 cm.
Answer: 377.36cm^2
Step-by-step explanation:
1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height
2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2
hoped this helped! ♡
At Garland School,
3/5 of the 490 students are boys.
At Bowood School, 5/7
of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
490 x 2/5 = 980/5 = 196 girls at Garland
945 x 5/7 = 4725/7 = 675 girls at Bowood
Bowood has more girls:
675-196 = 479 more
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
120 in sq. , 260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.
Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 18.
Answer:
1/3
Step-by-step explanation:
Factors of 18 are 1,2,3,6,9
Every 24 hours, the earth rotates 360° about its axis. How
long does it take to rotate 150°?
A. 8 h
B. 10 h
C. 18 h
D. 20h
360 degrees / 24 hours = 15 degrees per hour
150 degrees / 15 degrees per hour = 10 hours
Answer: 10 hours
Write the linear inequality shown in the graph. The gray area represents the shaded region.
x > –3
y ≥ –3
y > –3
x ≥ –3
Answer:
y > –3
Step-by-step explanation:
by looking at the graph we notice that the (shaded/gray) area which we are focusing on covers all the values of x ,on the other hand it only covers the values of y which they are Greater than -3
Remark : y > -3 not y ≥ -3 because the line that separates the shaded region and the other one is a broken line.
Answer:
y > –3
Step-by-step explanation:
2. On the first day of a month, Leann's savings account had $176. During the
month, Leann deposited $198 and spent $160 of her money. What was
Leann's account balance at the end of the month?
⚫️-138 dollars
⚫️534 dollars
⚫️214 dollars
⚫️-182 dollars
If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and
the sum of the measures of the angles is
93°, find the measure of each angle.
Answers:
Angle T = 79 degrees
Angle V = 14 degrees
=========================================================
Work Shown:
T + V = 93
(2x+85) + (5x+29) = 93
7x+114 = 93
7x = 93-114
7x = -21
x = -21/7
x = -3
This x value is used to find each angle mentioned.
Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degreesAngle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degreesAs a check, T+V = 79+14 = 93 which confirms our answers.
Answer:
An alternate interior angle, c, 180 degrees
Step-by-step explanation:
did it
PLEASE HELP ME
( I WILL MARK BRAINLIEST )
Can you help me out?
1) Unanswered (Sorry)
2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]
3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]
As a waitress, Willow earns an average of 18% tips on all food sales. Last week she worked five days and sold an average of $381.00 in food each day. How much did Willow earn in tips last week? (4 points)
$68.58
$104.27
$342.90
$396.91
The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips
Percentage of NumbersGiven Data
Tip = 18%Amount earned each day = $381.00Let us find the amount of tip earned per day
Amount in tip = 18/100*381.00
Amount in tip = 0.18*381.00
Amount in tip = 68.58
Hence, for five days, her tip will be
= 68.58*5
= $342.90
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Determine where the given function is concave up and where it is concave down.
q(x) = 8x3 + 2x + 8
Answer:
concave up
Step-by-step explanation:
there is no negatives in the equation (in front of x-value)
A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?
Answer:
65 bought 3 or more items.
Step-by-step explanation:
See attached summary. The total purchasing customers was 779 (0.82*950). Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186). Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items. 65 bought three or more items.