x=167⁰ (alternate or z angles)
The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?
Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
If x = 3, find the value of x2 + 2x
Answer:
15
Step-by-step explanation:
[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]
3 · 2 = 6
2 · 3 = 6
6 + 6 = 12
Have a luvely day!
Peter says, "If you subtract 14 from my number and multiply the difference by -7 , the result is -91 ." What is Peter's number?
Answer:
x = -77
Step-by-step explanation:
based on the given conditions
x - 14 = -91
x = -91 + 14 then calculate the difference between -91 - 14 = -77
thus x which is peters number = -77
Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1
[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]
Given that,
[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]
and
[tex]\rm \longmapsto\:g(x) = x - 2[/tex]
We know,
Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.
So, using Factor theorem, Consider
[tex]\rm \longmapsto\:p(2)[/tex]
[tex]\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]
[tex]\rm \: = \: 16 - 8 - 4 - 4[/tex]
[tex]\rm \: = \: 16 - (8 + 4 + 4)[/tex]
[tex]\rm \: = \: 16 - 16[/tex]
[tex]\rm \: = \: 0[/tex]
[tex]\rm\implies \:p(2) \: = \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]
[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]
[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]
and
[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]
Now, By using Factor Theorem, Consider
[tex]\rm \longmapsto\:p( - 1)[/tex]
[tex]\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]
[tex]\rm \: = \: - 2 + 1 + 2 + 1[/tex]
[tex]\rm \: = \: 2[/tex]
[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]
A functionf(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups
Answer:
12
Step-by-step explanation:
Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit
Answer:
2.93 repeating
Step-by-step explanation:
Find the quotient. 28,134 ÷ 47
Answer:
28,134 / 47 = 598.6
Step-by-step explanation:
For the division of 28,134 ÷ 47, the quotient is determined as 598.596.
What is the quotient of a number?Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).
When you perform division, the quotient is the answer or the result of the division operation.
For the division of 28,134 ÷ 47, the quotient is calculated as;
28,134 ÷ 47
= 28,134 / 47
= 598.596
Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.
Learn more about quotients here: https://brainly.com/question/33838790
#SPJ3
Janelle's family earns about $60,000 per year. She has been accepted to State U and
Greenlawn College and is comparing their financial aid packages.
State U:
.
Sticker price = $28,000
• Net price = $12,000
Greenlawn College:
• Sticker price = $60,000
• Net price = $9,000
Which statement below is TRUE?
Based on the evaluation of information given, the true statements for the option are ;
state university has a lower sticker price than greenlawn.greenlawn college is providing janelle more grants and scholarships.one factor that impacts net price is family income.Given the packages for State University and Greenlawn College :
Grants and scholarships = Sticaker price - net priceGreen lawn scholarship = $60000 - $9000 = $51000
State university = $28000 - $12000 = $18000
The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.
A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.
In determining, net price, the family income is a strong factor which is usually considered.
Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university
Learn more : https://brainly.com/question/20265319
help rn please!! I’ll mark as brainliest for the first person to answer
Answer:
c is the answer for this hope it helps
Answer:
Option DStep-by-step explanation:
The first two options don't make sense as absolute value is always positive.
The third option requires the answer to be within one interval but our answer is the combination of two intervals.
Let's verify if the last option is correct:
|2x - 3| - 1 > 4|2x - 3| > 51) 2x - 3 > 5 ⇒ 2x > 8 ⇒ x > 42) 2x - 3 < - 5 ⇒ 2x - 3 < -2 ⇒ x < - 1So this option is matching the graph
There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?
Answer:
Each women purchased 32 towels.
Step-by-step explanation:
Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.
translate seven minus three times a number into an algebraic expression
Patulong naman po need kona po ngayun to
Just zoom if you don't clearly see it
THANK YOU
1.d
2.d
hope it helps
...............
A 3-column table with 4 rows is shown. The first column has entries Florida, Hawaii, Montana, Oregon. The second column is labeled Population with entries 19,317,568, 1,392,313, 1,005,141, and 3,899,353. The third column is labeled Area (miles squared) with entries 53,927, 6,423, 145,552, and 95,997.
Which statements are true? Check all that apply.
The population density for Montana can be found using the ratio 1,005,141:145,552.
The population density for Oregon can be found using the ratio 95,997:3,899,353.
The population density for Hawaii is greater than the population density for Florida.
The state with the smallest population density is Oregon.
The state with the smallest population density is Montana.
Answer:
It's the first and last one
Step-by-step explanation:
I just did it
Answer:
A) The population density for Montana can be found using the ratio 1,005,141:145,552.
E)The state with the smallest population density is Montana.
Step-by-step explanation:
Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?
Answer:
35
Step-by-step explanation:
Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
Answer:
g(4) = 12
g(-5) = 48
Step-by-step explanation:
I will assume that you meant g(x)=x^2 - 3x + 8,
A) To find g(4), substitute 4 for each instance of 'x' in this function:
g(4) = (4)^2 - 3(4) + 8, or
g(4) = 16 - 12 + 8, or
g(4) = 12
Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48
g(-5) = 48
Answer:
A) 12
B) 18
Step-by-step explanation:
A) 4^2 - 3(4) + 8
16 - 12 + 8 = 12
B) -5^2 - 3(-5) + 8
25 + 15 + 8 = 48
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
What is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
$1559.40
Step-by-step explanation:
1. Find the perimeter of the garden
[tex]14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd[/tex]
2. Convert to feet
1 yd = 3ft
50 x 3 = 150
50 yd = 150 ft
3. Divide by 2.5 to find out how many sections are needed
150/2.5 = 60 sections
4. Multiply by 25.99
60 x 25.99 = 1559.4
It will cost $1559.40
What is the integral of 2x?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Integral of 2x is :
[tex]{x}^{2} + c[/tex]Convert 47/16 to a decimal using long division.
2.9375 is the answer
3 is the rounded up answer
i cant show steps cuz :p
sorry
anyway hope tis helps
Answer:
47/16
is basically dividing
47÷16
Long Division for 47 divided by 16
=2.9375
Point A is located at (-2,-1) on the coordinate plane. Point A is reflected over the x-axis to create point A′. What ordered pair describes the location of A'?
Answer: (-2,1)
Step-by-step explanation:
When reflecting over the x-axis, you keep the x-axis and invert the y-axis.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds
Answer:
A) 7.5 seconds
Step-by-step explanation:
Height of the ground is zero
-16t^2 + 120t = 0
Divide both sides by 16
-t^2 + 7.5t = 0
Factor out t
t(-t + 7.5) = 0
From the zero product rule
t = {0, 7.5}
0 would be time of launch
7.5 is time back to the ground
please help will give brainliest
and please do not scam
Answer:
Answer: 8PM and 8AM
Step-by-step explanation:
2 |x-2| -12 = 0
2 |x-2| = 12
|x-2| = 6
x-2 = 6
x= 8
12 noon + 8 Hrs
= 8PM
x-2 = -6
x = -4
12 noon - 4 hrs
= 8AM
= Homework: Section 9.6
Question 16, 9.6.61
O Point
The perimeter of a rectangle is to be no greater than 160 centimeters and the width must be 35 centimeters. Find the maximum length of the rectangle.
Answer:
here is an an example
Step-by-step explanation:
Let x = the width of the rectangle
P = 2l + 2w
2(40) + 2x ≤ 150
80 + 2x ≤ 150
2x ≤ 70
x ≤ 35 cm
1/3× 21/4-11/2÷22/5?? .btw they are improper fractions
[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]
Answer:[tex] \frac{1}{2} [/tex]
Please help with showing the points in the table
Answer:
attached
Step-by-step explanation:
Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc
If f(x)= –2x+3 then f(3) – f(4)=
Answer:
2
Step-by-step explanation:
F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation
F(3) = -2(3) + 3
= -3
F(4) = -2(4) + 3
= -5
- 3 -(-5) = 2
Answer:
2
Step-by-step explanation:
Step 1: Solve for f(3)
[tex]f(3) = -2(3)+3[/tex] [tex]f(3) = -6 + 3[/tex] [tex]f(3) = -3[/tex]Step 2: Solve for f(4)
[tex]f(4) = -2(4) + 3[/tex] [tex]f(4) = -8 + 3[/tex] [tex]f(4) = -5[/tex]Step 3: Subtract f(4) from f(3).
[tex]f(3)-f(4)[/tex] [tex](-3)-(-5)[/tex] [tex]-3 + 5[/tex] [tex]2[/tex]Therefore, the answer is 2.
4. The sum of three consecutive oven integers is 84. What are the three numbers?
Answer:
The required numbers are 26 , 28 and 30
Step-by-step explanation:
Given that the sum of the three even integers is 84.
find the value of x and y. SHOW WORK