Answer:
Question 15: x = 17
Question 16: area = 5610 units
Step-by-step explanation:
Question 15:
The perimeter is the sum of all sides of a triangle.
It is given that the perimeter is 374 units.
[tex]p = 8x - 4 + 9x + 4 + 4x + 17[/tex]
[tex]374 = 8x - 4 + 9x + 4 + 4x + 17[/tex]
Add all the like terms.
[tex]374 = 21x + 17[/tex]
Subtract 17 from both sides.
[tex]357 = 21x[/tex]
Divide by 21 from both sides.
[tex]17 = x[/tex]
Question 16:
The area of a triangle can be found by using the following formula:
[tex]a = \frac{1}{2} bh[/tex]
(where a is the area, b is the base, and h is the height)
Using the value of x you just found previously (17), you can calculate the base and height by substituting 17 with x in their respective equations.
[tex]h = 8x - 4[/tex]
[tex]h = 8(17) - 4[/tex]
[tex]h = 134[/tex]
[tex]b = 4x + 17[/tex]
[tex]b = 4(17) + 17[/tex]
[tex]b = 85[/tex]
Now that you found the base and height, substitute the values, 134 and 75, into the area of a triangle formula.
[tex]a = \frac{1}{2} bh[/tex]
[tex]a = \frac{1}{2} (85)(132)[/tex]
[tex]a = 5610[/tex]
Helen needs 60 g of sugar to make 15 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Helen is going to make 60 biscuits.
a) Work out the amount of flour she needs.
Helen has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.
b) (i) What is the exact amount of butter she needs?
g
(ii) How many packs of butter will she have to buy?
Answer:
1 pack of butter, and 360 grams flour.
Step-by-step explanation:
it just mental math, and i kinda forget how i even got the answer, but its 1 because she only needs 240 grams. and also 360 flour.
Answer:
I'll give you the correct answer:
a) You need to times 60 by 3: 60*3. This will get you 180g, which gets your first mark.
Next, you must times 180 by 4: 180*4. This gets you 720g, and there's your final answer + the last marks.
b) (i) 420g
(ii) 2 packs, because there is 240 g in one pack so you times it by two.
Hope this helps!
Mrs. Smith has a total of 25 kids in her class. There are 3 more boys than there are girls. Write a system of equations to model this. Use b to represents the boys and g to represent the girls.
Answer:
b + g = 25
b = g + 3
Step-by-step explanation:
Let b = number of boys.
Let g = number of girls.
"Mrs. Smith has a total of 25 kids in her class."
b + g = 25
"There are 3 more boys than there are girls."
b = g + 3
The system of equations is:
b + g = 25
b = g + 3
i need help or my report card is gonna have a f its coming out tommorow
Answer:
F.
A.
Step-by-step explanation:
hope this helps you
reference angle for 39π/31
Answer:
i hoped i helped if i didnt sry
Step-by-step explanation:
Mrs. Smith bought 4 dozen doughnuts and paid a total of $13.92. What was the cost of 1 doughout
. A. $0.29
B. $3.48
C. $0.35
D. $1.16
Answer:
A $0.29
Step-by-step explanation:
4 dozen donuts is 48 donuts. (A dozen is 12 so 4 times 12 is 48). $13.92 divided by 48 is $0.29.
PLEASE HELP !! Select all the correct answers.
Janine needs to calculate the value of log12 81
Which expressions could she input into her calculator to find this value?
Answer: In 81/ In 12 AND log 81/log 12
Step-by-step explanation: PLATO ANSWER I got 100%
To solve the problem we must know about the change of base rule for Logarithm.
What is the change of base rule for Logarithm?The change of base rule for Logarithm helps us to change the base of any logarithmic expression to any other logarithmic expression.
[tex]log_ab = \dfrac{log_x b}{log_x a}[/tex]
where x is any base.
The expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].
Given to us
[tex]log_{12}81[/tex]Change of base rule[tex]log_{12}81\\[/tex]
use the change of base rule, [tex]log_ab = \dfrac{log\ b}{log\ a}[/tex],
[tex]log_{12}81=\dfrac{log\ 81}{log\ 12}[/tex]
Hence, the expression can be expressed as [tex]\dfrac{log\ 81}{log\ 12}[/tex].
Learn more about Logarithm:
https://brainly.com/question/7302008
What is the area of the triangle
Answer:
A = 1/2 l*w
So the answer is 4.
Answer:
area=1/2(bh)
area=1/2(2 times 4)
area=1/2(8)
area=4
:)
I need help for this
A local city collects 7% sales tax. If the total purchase was $321,000, then how much was collected for sales tax?
A.$31.50
B.$22.47
C.$21.00
D.$250.00
HELP The perimeter of a rectangle is 150 inches the lengh is 3 inches longer than 5times the width find the length
12 inches
if the length = x,
P = 150 inches
=2 { ( 5x + 3 ) + x }
=10x + 6 + 2x
=12x + 6
Therefore 12x + 6 = 150
12x = 150 - 6
12x = 144
x = 12
A cow can be milked in 5 minutes, but it must be milked twice a day. If 6 cows can be milked at a time, how many cows can be milked in 10 minutes?
answer: 12
explanation:
you can milk 6 in five minutes so you multiple 6 by to because 10 is 5 two times
please please please help PLEASEEEE!!!! 121OKCJE
A runner can run 3/5 of a mile in 4 minutes. If he runs at the same rate, how far will he run in an hour?
Answer:
9 miles
Step-by-step explanation:
our friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 1.75 minutes?
Answer:
245 times in 1.75 minutes.
Step-by-step explanation:
Hope this helps!!!
Can I have brainliest???
(ANSWER CORRECTLY PLS, ALSO EXPLAIN FOR BRAINLIEST)
Two companies rent canoes at Klein Lake. The first company charges a 12.50 deposit and a fee of $16 per hour. The second company charges a fee of $20 per hour with a deposit of $4.50. How many hours would a canoe need to be rented for the cost to be the same at each company?
A 32 hours
B 2 hours
C 4 1/2hours
D 8 hours
Answer:
D
Step-by-step explanDation:
-b-2>8
Pls help me! I’m really confused
Answer:
b<−10
Step-by-step explanation:
Answer:
b<-10
Step-by-step explanation:
Inequality: -b-2>8
Step 1: Add 2 to both sides
-b-2+2>8+2
-b>10
Step 2: Divide both sides by -1
-b > 10
_ _
-1 -1
b<-10
Hope this helps you!!!!
Find the Prime Factorization of 72.
A. 23 x 9
B. 22 x 18
C. 22 x 33
D. 23 x 32
HELP PLEASE The 20% tip on a $8 sandwich
Answer:
$1.60
Step-by-step explanation:
So, to find the persent of a number, we need to make the percent a decimal.
So, 20% is equal to 0.2
Then, we need to multiply 0.2*8
8.0
* 0.2
________
1.6
So, our answer is 1 dollar and 60 cents!
Answer:
$1.60 (shorter answer)
if you place a 45 foot ladder against the top of a 36 foot building, how many feet will the bottom of the ladder be from the building?
Answer:
9 feet
Step-by-step explanation:
4. Brett is fencing in a circular patio. The radius of the patio is 70 feet. How many linear feet of
fencing does he need to enclose the patio?
Answer:
The number of feet of fencing that he needs will be equal to the perimeter of the circular patio.
We know that the perimeter of a circle of radius R is equal to:
P = 2*pi*R
where pi = 3.14
Then if the radius of the patio is 70ft, the perimeter of the patio will be:
P = 2*3.14*70ft = 439.6 ft
Then he needs 439.6 ft of fencing to enclose the patio.
A soccer team orders jerseys that cost $20 each. The price per jersey decreases $0.50 for each jersey that is ordered. How many jerseys should the team order for the price per jersey to be no greater than $15?
Answer:
10 jerseys :)))
What is the equation of a line through (6, 8) and (3,-1)
in slope intercept form y=mx+b?
3. If A = 6x^2 - x^2 + 4x + 8 and B = 2x^3 + x - 5 then A - B equals
(1) 4x3 - x2 + 3x – 13
(2) 8x3 - x2 + 5x + 3
(3) 4x3 – x2 + 3x + 13
(4) 8x3 + 3x + 3
Hi there!
[tex]\large\boxed{(3) \text{ } 4x^{3} - x^{2} + 3x + 13}[/tex]
Given:
A = 6x³ - x² + 4x + 8
B = 2x³ + x - 5
Find A - B by subtracting the two equations. Subtract like-terms:
6x³ - x² + 4x + 8 - (2x³ + x - 5)
Simplify:
6x³ - x² + 4x + 8 - 2x³ - x + 5 =
4x³ - x² + 3x + 13. The correct choice is 3.
Pi rational see pdf document attached
Answer:
[tex]\pi \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
What percent of 9 is 1
Whole number,fraction,or mixed number
9514 1404 393
Answer:
11 1/9%
Step-by-step explanation:
1/9 × 100% = (100/9)% = (11 1/9)%
What is the area of the figure below?
43 in
3 in
48 in 2
5 in.
68 in 2
1
88 in 2
5 in
3 in
3 in
7 in,
Answer:
68in
Step-by-step explanation:
I ready test
Answer: 68
Step-by-step explanation:
‘Multiply all of them and boom
Do not round your answer. Type in just the number. 0.48 is what % of 1 .6
Answer:
0.00768
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
1.6÷100=0.016
1% - 0.016
0.48÷0.016=30
Amirah is 4 years older than Priya and Shirley is
2 years younger than Priya. If the sum of their ages
is 47, find their respective ages.
Answer:
Priyah = 15
Amirah = 19
Shirley = 13
Step-by-step explanation:
Let A represents Amirah, P Priyah and S, Shirley.
So, we have:
[tex]A = 4 + P[/tex] --- 4 years older
[tex]S = P - 2[/tex] --- 2 years younger
[tex]A + P + S = 47[/tex]
Required
Find their ages
Substitute 4 + P for A and P - 2 for S in [tex]A + P + S = 47[/tex]
[tex]4 + P + P + P - 2 = 47[/tex]
[tex]4 + 3P - 2 = 47[/tex]
Collect Like Terms
[tex]3P = 47 - 4+ 2[/tex]
[tex]3P = 45[/tex]
Divide both sides by 3
[tex]P = \frac{45}{3}[/tex]
[tex]P = 15[/tex]
Substitute 15 for P in [tex]A = 4 + P[/tex] and [tex]S = P - 2[/tex]
[tex]A = 4 + 15[/tex]
[tex]A = 19[/tex]
[tex]S = 15 - 2[/tex]
[tex]S = 13[/tex]
12. Quadrilateral ABCD is located at A(-4,-2), B(0, -2), C(1, 2), and D(-3,2). What is
the most specific classification of ABCD?
PLEASE HELP ???
Answer:parallelogram
Step-by-step explanation:
A shirt is originally priced at $24.50 a shirt goes on sale for 30% off the original price how much money to the nearest cent does the shirt cost including 7% tax on the sale price
Answer:
7.86 is the answer
Step-by-step explanation:
30% of 24.50 is 7.35.
7.35+ 7% is 7.86
7.86 to the nearest cent is 7.86
Larry was paid a total of $30 for raking leaves for 8 hours of work. This rate is constant. What will be the total amount that Larry will be paid for raking leaves for 20 hours of work
Answer:
Hi! The correct answer is $75 for 20 hours.
Step-by-step explanation:
please help ASAP 25 pts + brainliest, please show or explain answer
Answer:
B. .60
Step-by-step explanation:
With reference angle A
perpendicular (p) = 6
hypotenuse (h) = 10
Then
Sin A
= p/h
= 6 / 10
= 0.6
Answer:
Option B
Step-by-step explanation:
We know that
[tex] \sin( \alpha ) = \frac{side \: opposite \: to \: \alpha }{hypotenuse \: of \: triangle} [/tex]
where [tex] \ alpha [/tex] is an angle of a triangle.
In the triangle given above , [tex] \ alpha = angle A [/tex]. So,
[tex] \sin(a) = \frac{6}{10} = 0.60[/tex]