Answer:
Step-by-step explanation:
Building scale is 1cm=5feet
This means 1 cm is equivalent to 5 feet
If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;
25/100 =0.25.
0.25 x the actual dimension
0.25 x 5 = 1.25
1.25 + actual dimension
1.25 + 5 = 6.25.
This means the scale of the room will be on 1cm =6.25feet.
If the length of the room is A, the width is B;
The new length will then be 1.25 x A =1.25A
1.25A + A
The length of the new room is 1.25A +A
While the width of the new room is 1.25B +B
If the triangles are congruent,
then y = [?].
4x+1
13
2x+y
8x-2y
Answer:
4x+1
Step-by-step explanation:
The way i got this was because sometimes on shapes there are 4 side and so you would multiply the number of sides then add some more to it.
9y-7=56 y=?: show work
Answer:
53.12
Step-by-step explanation:
1234567890
Answer:
y = 7
Step-by-step explanation:
9y - 7 = 56
+7 +7
9y = 63
/9 /9
y = 7
(/9 = divided by 9)
check : 9 x 7 = 63 ( 63 - 7 = 56) correct!
Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4
Answer:
Convert Equation 1 to slope-intercept form.
y
=
−
x
+
4
The two equations have the same slope,
m
=
−
1
, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.
graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?
9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
Which questions are True or False?
1.) Supplementary angles always add up to 90°.
2.) Complementary angles always add up to 180°.
3.) Vertical angles always have the same measure.
4.) ∠x is complementary to the 34°angle.
5.) ∠z is vertical to the 112°angle.
6.) ∠y is a linear pair with the 146°angle.
Answer:
1) false
2) false
3) true
4)false
5) true
6) true
The random variable R has the binomial distribution B (12,0.35) .find P(R>4)
Answer: [tex]0.416655[/tex]
Step-by-step explanation:
If random variable X has the binomial distribution B(n, p), then
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
, where n= Total number of trials, x = number of successes , p= probability of success in each trial.
Given: The random variable R has the binomial distribution B (12,0.35).
n= 12, = 0.35
[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]
Hence, P(R>4)=0.416655
emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit
Answer:
small box costs $11, large box costs $13
Step-by-step explanation:
2S + 3L = 61
3S + 3L = 72
Eliminate the L terms: subtract first equation from second equation
2S + 3L = 61
-3S - 3L = -72
-------------------
-S = -11
S = 11
2S + 3L = 61
2(11)+3L = 61
3L = 39
L = 13
small box costs $11, large box costs $13
Answer:
no tienes idea de lo que estoy diciendo, chico
Step-by-step explanation:
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
100 point please help me
Answer:
it says 5 points
Step-by-step explanation:
Answer:
2m+4
(twice the students in maths(2m) plus four more (+4))
Nora baked 40 cupcakes. She ate 4 cupcakes and gave 25% of the remaining
cupcakes to her neighbours. How many cupcakes did Nora have left?I want this answer it percentage
Answer:
27 cupcakes left
In percentage of the number of cupcakes left after she ate 4 = 75%
In percentage of the total number of cupcakes she baked = 67.5%
Step-by-step explanation:
Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder
= 40 - 4
= 36 cupcakes
If she gave 25% of the remaining, the number of cupcakes given
= 25% * 36
= 25/100 * 36
= 9 cupcakes
the number of cupcakes left
= 36 - 9
= 27 cupcakes
In percentage of the number of cupcakes left after she ate 4, this will be
= 100% - 25%
= 75%
In percentage of the total number of cupcakes she baked
= 27/40 * 100%
= 67.5%
1) Can a line have a slope of 1.25? Exp
Express in simplest radical form
Answer:
gg
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2 x 2 =4
Rewrite the inequality:
a ≥ 9
I need to find what's in those four boxes
Answer:
-500 + 200, -300
|0 - 200|, +200
Step-by-step explanation:
William fills 1/3 of a water bottle in 1/9 of a minute. How much time will it take him to fill the bottle
Answer:
3/9 = 1/3 of a minute or 20 seconds
Step-by-step explanation:
Answer:
1/3 of a minute
Step-by-step explanation:
1/3 x 3 = 1 bottle
1/9 x 3 = the time
1/9 x 3 = 3/9 or 1/3
Q2) A meat pie contains chicken and turkey in the ratio 4 : 1. ( 3 marks)
The pie contains 300 g of chicken.
How much turkey is in the pie?
How much meat is there altogether in the pie?
Plz i begggg
please
david has twice as many cousins as becky
becky has twice as many cousins as nishat
nishat has 6 cousins
how many cousins does david have?
Nishat has 6 cousins
Becky has twice as many cousins, so that would mean Becky has 12 cousins
David has twice as many cousins as Becky, so David has 24 cousins
I feel bad for David
Akiko shot 204 baskets in 17 minutes. Find her basket rate in baskets per minute
Answer:
204/17
Step-by-step explanation:
and then you should get your answer
Answer:
12 baskets/per minute
Step-by-step explanation:
so u know that she can shoot in 204 baskets in 17 u just need to take 204 divided by 7 to figure out how many she makes per minute. ( 204 ÷ 7 = 12 )
How many 1/6 are in 2/3
Answer:
4
Step-by-step explanation:
2/3 ÷ 1/6 = 2/3 · 6/1 = 4
Answer:
It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.
Hope you enjoy !
I need help on this problem
Please
The tutor button has not been working
Answer: 14 and 3.5
Step-by-step explanation:
This assignment is due in a little can you guys help me, please?
Answer and Step-by-step explanation:
First, read through the phrase and then break it down.
4 less than the product (multiplying) of 7 and a number (can be noted as 'x')
7x - 4 is the answer, since 4 will be less than the product of 7 and a number, with x being the placeholder.
#teamtrees #WAP (Water and Plant)
The probability of eating a sugar cookie is 0/35
the chance of eating a sugar cookie is ____
Answer:
0
Step-by-step explanation:
Well if the probability is 0 then the chance is 0
The two triangles above are similar. What is the value of x ?
A) 5
B) 7.5
C) 8
D) 13 1/5
Answer:
7.5
Step-by-step explanation:
[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]
Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,
6/x = 8/10
Solving the ratio for x,
x = (6×10)/8
x = 60/8
x = 7.5 units
Hence, in the two similar triangles, the value of x is 7.5 units.
Learn more about Similar Triangles here:
https://brainly.com/question/25882965
#SPJ2
Jason is making pumpkin bread. He needs 4 cups of pumpkin for every 3 cups of sugar. What is the ratio of cups of sugar to cups of pumpkin that Jason will need?
A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3
Answer:
3 to 4 - A
Step-by-step explanation:
WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT
Answer:
How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation
Step-by-step explanation:
Guided Practice
1. A manufacturer gets a shipment of 600 batteries of which 50 are
defective. The quality control manager tests a random sample of
30 batteries in each shipment. Simulate the test by generating random
numbers between 1 and 600. How well does your sample represent the
shipment? Explain. (Explore Activities 1 and 2)
Answer:
18.33
Step-by-step explanation:
600 -50 ÷ 30
550 ÷30 = 18.333
Subtract the complex numbers.
(5 + 4i) - (7 + 8i)
Answer:
Step-by-step explanation:
5 + 4i - 7 - 8i
-2 - 4i
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
Hanukkah lasts for 8 nights. You have four family members to purchase
gifts for as well as a new Menorah for your home. The Menorah costs
$42.00. If you have a total of $386.00 to spend, how much can you spend on
each family member?
Answer
86
Step-by-step explanation:
You can spend 86 on each family member. 386-42=344
344/4=86