Answer:9
Step-by-step explanation:RS+ ST+RT
X-2+4x-9=x+5
4x-11=5
4x=16
X=4
This is writing equations. Matt's dog weighs 30 pounds. His dog 20 more pounds than 4 times his cat. What is the weight of the cat?
Answer:
1.5
Step-by-step explanation:
30÷20=1.5
here are the first four terms of a number sequence 2,5,11,23 the rule to continue this sequence is multiply thr previous term by 2 and then add 1 work out the 5th term of this sequence
Answer:
If it's the 5th sequence I would guess 2,5, and 11. Sorry if I'm wrong or if I misunderstood the question.
Step-by-step explanation:
If 16, X + 2, 1 are the first three terms of a
geometric sequence, find all possible values
of x.
Answer:
X=2 or X=-6
Step-by-step explanation:
The common ratio is either 1/4 or -1/4. Since if we divide 16 by 4 we get 4 and we divide that by 4 get 1 or if we divide 16 by -4 we get -4 and that by -4 to get 1.
A more detailed math explanation:
ar^2/a=1/16
r^2=1/16
r=1/4 or -1/4
This means the second term is either 16(1/4)=4 or 16(-1/4)=-4.
So,
X+2=4 or X+2=-4
Subtract 2 on both sides:
X=4-2 or X=-4-2
X=2 or X=-6
Answer: x = 2 or x = -6
Step-by-step explanation:
16, x + 2, 1
Notice that a₁ to a₃ is 2 ratios.
16 · r² = 1
r² = 1/16
r = ± 1/4
If r = 1/4, then a₂ = 16/4
= 4
4 = x + 2 → x = 2
If r = - 1/4, then a₂ = 16/-4
= -4
-4 = x + 2 → x = -6
Ben made 5 cups of Kool Aid. He wants to pour it into glasses that will hold ½ a
cup. How many glasses will he be able to fill
with Kool Aid?
Answer:
10
Step-by-step explanation:
f(x)=3x + 4
What is f(-2)
Answer:
f(x+2)=3x+10
Step-by-step explanation:
Round these numbers to 1
decimal place.
6.43
N
13.16
26.45
154.283
282.449
0.24
Answer:
A) 6.4
B) 13.2
C)26.5
D)154.3
E)282.4
F)0.3
Divide Rs. 2379 into 3 parts so that their amounts after 2,3 and 4 years respectively may be equal, the rate of interest is 5% per annum at simple interest. The first part is..
Answer:
d Rs 828
Step-by-step explanation:
Let the three parts be x,y and z.
Then, x+
100
x×2×5
=y+
100
y×3×5
=z+
100
z×4×5
⇒x+
10
x
=y+
20
3y
=z+
5
z
10
11x
=
20
23y
=
5
6z
=k(say)
∴x=
11
10k
,y=
23
20k
,z=
6
5k
Given, x+y+z=2379
⇒
11
10k
+
23
20k
+
6
5k
=2379
⇒
1518
1380k+1320k+1265k
=2379
⇒3965k=2379×1518
⇒k=
3965
2379×1518
⇒ First part = Rs.
11×5
10×3×1518
= Rs. 828
Let the three parts be x,y and z.
Then, x+
100
x×2×5
=y+
100
y×3×5
=z+
100
z×4×5
⇒x+
10
x
=y+
20
3y
=z+
5
z
10
11x
=
20
23y
=
5
6z
=k(say)
∴x=
11
10k
,y=
23
20k
,z=
6
5k
Given, x+y+z=2379
⇒
11
10k
+
23
20k
+
6
5k
=2379
⇒
1518
1380k+1320k+1265k
=2379
⇒3965k=2379×1518
⇒k=
3965
2379×1518
⇒ First part = Rs.
11×5
10×3×1518
= Rs. 828
When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold?
Show your reasoning.
Answer:
59 1/4 tablespoons
Step-by-step explanation:
i converted 10 grams - tablespoon and multiplied by 74
Mariah has 714 postcards to put in an album each page of the album holds 10 postcards how many pages does Mariah need for her postcard
Answer:
72 pages
Step-by-step explanation:
If each page can hold 10 postcard 710 postcards would occupy 71 pages, requiring another page for the remainder. My answer is rounded up from the more accurate answer of 71.2 pages
PLEASE HELP!! Find x for all.
S (3, -5), T (0, -2), U (-3, -5)
scale factor = 4
S' =
T' =
U'=
(Ch10.7) True or False? Based on a random sample of 13 tire changes (n1), the mean time to change a tire on a Boeing 777 has a mean of 59.5 minutes with a standard deviation of 7.4 minutes. For 10 tire changes (n2) on a Boeing 787, the mean time was 64.3 minutes with a standard deviation of 13.2 minutes. In testing equal variances in a "two-tailed" F-test at α=0.1, we should reject the null hypothesis of equal population variances.
Answer:
Yes its true
Calculated value F = 3.264 > 2.32 at 0.1 level of significance
Null hypothesis is rejected
alternative hypothesis is accepted
The population variances are not equal
Step-by-step explanation:
Step(i):-
Given first sample size 'n₁ = 13
Mean of the first sample = 59.5 min
Standard deviation of the first sample (S₁) = 7.4min
Mean of the second sample = 64.3 min
Standard deviation of the second sample( S₂ ) = 13.2min
Null hypothesis :H₀: σ₁² = σ₂²
Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²
Degrees of freedom
ν₁ = n₁ -1 = 13 -1 = 12
ν₂ = n₂ -1 = 10 -1 = 9
Step(ii):-
Null Hypothesis H₀ : σ₁² = σ₂²
Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²
Test statistic
[tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} }[/tex]
Given sample standard deviations are given
we have to determine the Population variances S₁² and S₂²
n₁ s₁² = (n₁-1) S₁²
13 ( 7.4)² = ( 13-1) S₁²
S₁² = 59.32
n₂ s₂² = (n₂-1) S₂²
10 ( 13.2)² = ( 10-1) S₂²
S₂² = 193.6
Step(iii):-
Test statistic
[tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} } = \frac{193.6}{59.3} = 3.264[/tex]
F = 3.264
F( 12 , 9 ) = 2.32
Calculated value F = 3.264 > 2.32 at 0.1 level of significance
Null hypothesis is rejected
alternative hypothesis is accepted
The population variances are not equal
HELP WILL MARK BRAINLIEST
Answer:
(16)(1) => identity property of multiplication
2(3+7) = 2(3) + 2(7) => distributive property
(2+6) + 3 = 2+ (6+3) => associative property
9+0 = 9 => identity property of addition
8 x 4 = 4 x 8 => commutative property
1) Refer back to Lesson 2, Part A. Assume that the average shoulder width of the people in the line was 1.325 feet. How long would the line be if it contained 10 million people? Express your answer in feet.
Answer:
13,250,000 feet or 13.25 million feet
Step-by-step explanation:
Each person in the line has a shoulder width of 1.325 feet.
For each person, there is a width of 1.325 ft. There are 10 million people.
Since:
10 million = 10,000,000
The total length must be:
[tex]1.325 * 10,000,000[/tex]
[tex]1.325 * 10,000,000 = 13,250,000[/tex]
Answer: 13,250,000 feet or 13.25 million feet
9 + 1.34 + .5 (3.50 +1.74) How would you simplify the expression? Explain your steps.
Solve this −14(z−5)=−14z+70
Answer:
All real numbers are solutions.
Explanation:
−14(z − 5) = −14z + 70
[ Step 1: Simplify both sides of the equation ]
−14(z − 5) = −14z + 70
(−14)(z) + (−14)(−5) = −14z + 70 (Distribute)
−14z + 70 = −14z + 70
[ Step 2: Add 14z to both sides ]
−14z + 70 + 14z = −14z + 70 + 14z
70 = 70
[ Step 3: Subtract 70 from both sides ]
70 − 70 = 70 − 70
0 = 0
Therefore, all real numbers are solutions.
What is the measure of angle 1?
2 parallel lines are crossed by a transversal to form 8 angles. Clockwise from top left, the angles are blank, 92 degrees, blank, blank; blank, 2, 1, blank.
A.86°
B.88°
C.90°
92°
Answer:
92°
Step-by-step explanation:
because 1 is parallel to the 92°
Answer:
88 degrees
Step-by-step explanation:
Angle 2 will be equal to 92 degrees since they are corresponding angles
Since angle 1 and angle 2 form a linear pair,
the sum of angle 1 and 2 will be 180 degrees, and since we know the measure of angle 2, we can find the measure of angle 1
angle 1 + angle 2 = 180
angle 1 = 180 - 92
angle 1 = 88 degrees
Write h(x) = 3x2 – 12x in vertex form.
Answer:
y=3(x-2)^2-12
please let me know if its right.
5066. Write the number that is one hundred more using number names
The radius of a circle is 7 millimeters. What is the circle's area?
r=7 mm
Use 3.14 for a.
Answer:
153.86
Step-by-step explanation:
formula - A = π × r2
3.14 x 7^2
= 153.86
Answer: 106.76 Millimeters
Step-by-step explanation:
The radius is 17 millimeters. Replace r by 17 in the formula.
C = 2r
≈2 x 3.14 x 17
≈106.76
The circumference is about 106.76 millimeters.
-4 < 11 - 3x
Solve for x.
Answer as an inequality.
Steps to solve:
-4 < 11 - 3x
~Subtract 11 to both sides
-15 < -3x
~Divide -3 to both sides
5 > x
Best of Luck!
How do you do this question?
Answer:
33/16
Step-by-step explanation:
x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2
dx/dy = y³/2 − 1/(2y³)
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy
s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy
s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy
s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy
s = ∫₁² ½ √(y³ + 1/y³)² dy
s = ∫₁² ½ (y³ + 1/y³) dy
s = ½ (y⁴/4 − 1/(2y²)) |₁²
s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)
s = 33/16
877x4 I’m having trouble with this ✌
Answer:
The answer is 3,508
Step-by-step explanation:
Calculator
877 x 4
3508
Hope this helps! :)
The Tiny State College Student Advisory Board has rules to the effect that the officers of the board (i.e., Chairperson, Vice-Chairperson, and Treasurer) must always include at least one in-state student and at least one senior. The 150 Student Council consists of 6 members: 1 in-state senior, two in-state stude who are not seniors, 1 out-of-state senior, and two out-of-state students wn not seniors. In how many ways can the officers of the Student Advisory Bog selected from these 6 Student Council members if they must obey the rules that if individual members switch offices, this produces a different Board.
Answer:
P (6, 3) – p (6, 4) – p (6, 2) = 270
Step-by-step explanation:
The 150 student council consist of 6 members.
Included at least one in-state student and at least one senior.
There are total 6 members: in which,
1 in- state senior,
2 in state non-senior,
1 out of state senior and
2 out of state non-senior.
Total member are 6 and we selected 3. So p (6, 3)
The way team will have only non-senior = p (6, 4)
The way team will have out of state = p (6, 2)
Subtracting the total we get:
P (6, 3) – p (6, 4) – p (6, 2) = 6x5x4 – 6 x 5 x 4 x3 – 6x 5
= 30 x 4 – 30 x 12 – 30
= 120 – 360 – 30
=- 270
Question 3 options: The scale factor of triangle ABC to triangle DEF is triangles
Answer:
The scale factor is 2.
Find mzy.
X
(6x-23)
(4x + 9)
Z
m_Y =
Answer:
6×+4×10×-23=9-13=-4Could someone pleasee answer this?
Answer:
Step-by-step explanation:
$
12
Select the box in each rowia
WA
6
How many 10 oz servings are in a 5-quart pitcher of lemonade?
There are ? Servings
Answer:
There are 16 servings
Step-by-step explanation:
First, find how many oz are in 5 quarts.
Think: In one quart there are 32 ounces, in 5 quarts how many ounces would that be?
5 x 32 = 160 ounces
Next, divide 160 ounces by 10 servings
160 / 10 = 16 servings
So there are 16 servings in a 5 quart pitcher.
Hope this helps ;)
Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct % confidence interval estimate of , the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution
Answer:
what do you mean
Step-by-step explanation:
